PLSSSSSS HELPPPPP PLS I NEED HELPPP PLSS


Let equal the price of one smoothie. Complete the equation.
(5 smoothies) (price of 1 1 Smoothie)+tip= $23

PLSSSSSS HELPPPPP PLS I NEED HELPPP PLSSLet Equal The Price Of One Smoothie. Complete The Equation. (5

Answers

Answer 1

Answer:

5x+3=23

Step-by-step explanation:

Answer 2

Answer:

$4 per smoothie

Step-by-step explanation:

5x+4=23


Related Questions

Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for

a food drive. He wants each bag to have the same amount of pasta and sauce and

wants to use all of the items.

Use the drop-down menus to complete the statements below about the number of

bags Cesar can make.

CLEAR

CHECK

The greatest number of bags Cesar can make is

Each of these bags will have

boxes of pasta and

jars of sauce.

If he made fewer bags,

He could use

bags, but this is not the greatest number he could use.

Answers

Calcualte the ratio 32/48=2/3

person who answers this WITH complete explanation, formula, AND correct answer will be marked BRAINLIEST...... pls answer:

2/5 x -3/7 - 1/6 x 3/2 - 1/4 x 2/5

Answers

The answer I got is -3/140 since you must multiply first, then subtract the fractions

Consider the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers. Identify from the list above the first set that describes the given number. 8.7104 Choose the correct answer below. O Natural numbers O Integers Whole numbers Rational numbers Real numbers

Answers

The number 8.7104 belongs to the set of real numbers. The sets of natural numbers, whole numbers, integers, rational numbers, and real numbers are ordered from most specific to most inclusive.

Natural numbers: Also known as counting numbers, they include positive whole numbers starting from 1 (1, 2, 3, 4, ...).

Whole numbers: Similar to natural numbers, they include all positive integers starting from 0 (0, 1, 2, 3, ...).

Integers: This set includes both positive and negative whole numbers, including zero (-∞, ..., -3, -2, -1, 0, 1, 2, 3, ..., +∞).

Rational numbers: These are numbers that can be expressed as fractions, where the numerator and denominator are both integers. Rational numbers can be written as terminating or repeating decimals.

Real numbers: This set includes all rational and irrational numbers. Real numbers can be represented on the number line and include all possible decimal values, including non-terminating and non-repeating decimals.

In the case of the number 8.7104, it is a decimal number that can be expressed as a terminating decimal. Therefore, it falls within the set of real numbers. Real numbers encompass all possible decimal values, both terminating and non-terminating, making them the broadest set in terms of representation on the number line.

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Which line has a y-intercept of -2?
A) L
B) P
C) T
D) Both L and T

Answers

Answer:

Answer is D

Step-by-step explanation:

hope that helps

5/6 + 7/8 + 3/4
i need help

Answers

Answer:2 11/24

Step-by-step explanation:

Answer:

2.4583

Step-by-step explanation:

I helped you.

First

5÷6 and 7÷8 and again similarly 3÷4 and sum the all outcome come from these eqations

Which sets of shapes can be used as the net of a three-dimensional figure? Select two options.
1 hexagon and 6 rectangles
2 pentagons and 5 triangles
6 rectangles, none of which are squares
4 squares and two rectangles that are not squares
4 triangles, only 3 of which are congruent triangles

Answers

Answer:

C and D

Step-by-step explanation:

Got it right on the test.

1 hexagon and 6 rectangles and 4 squares and two rectangles that are not squares are sets of shapes which can be used as the net of a three-dimensional figure. Option A and option D are correct.

Hexagon and 6 rectangles: This combination of shapes can be used to create the net of a hexagonal prism.

The hexagon will be used as the base of the prism, and the six rectangles can be attached to the sides of the hexagon to form the remaining faces of the prism.

When folded along the edges, the net will result in a hexagonal prism.

4 squares and two rectangles that are not squares: This combination can be used to create the net of a rectangular prism or a cuboid.

The four squares will be used as the top, bottom, and side faces of the prism, while the two rectangles (which are not squares) can be attached to the remaining sides to complete the net.

When the net is folded along the edges and assembled, it will form a rectangular prism or cuboid.

Hence, Option A and option D are correct. 1 hexagon and 6 rectangles and 4 squares and two rectangles that are not squares are sets of shapes which can be used as the net of a three-dimensional figure.

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7 of possible A survey conducted in a small business yielded the results shown in the table. Test the claim that health care coverage is independent of gender. Use a 0.05 significance level. What is the value of the test statistic? Men Women Health insurance 50 20 No health insurance 30 10 O A. x² = 5.821 O B.x²=3.841 c. x² = 8.263 O D. x² = 0.1637

Answers

The value of the test statistic is  x² = 3.841.

Therefore option B is correct.

How do we calculate?

Expected frequency for "Health insurance" and "Men"

= (80 * 70) / 110= 50.909

Expected frequency for "Health insurance" and "Women"

= (30 * 70) / 110 =  19.091

Expected frequency for "No health insurance" and "Men"

= (80 * 40) / 110

= 29.091

Expected frequency for "No health insurance" and "Women"

= (30 * 40) / 110 =  10.909

We find the chi-square statistic

χ² = Σ [(O - E)² / E]

χ² = [(50 - 50.909)² / 50.909] + [(20 - 19.091)² / 19.091] + [(30 - 29.091)² / 29.091] + [(10 - 10.909)² / 10.909]

= (0.081² / 50.909) + (0.909² / 19.091) + (0.909² / 29.091) + (0.081² / 10.909)

=  0.00131 + 0.04537 + 0.02784 + 0.00604

= 0.08056

We find  the critical value for a 0.05 significance level and 1 degree of freedom = 3.841.

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complete question:

A survey conducted in a small business yielded the results shown in the table. Test the claim that health care coverage is independent of gender. Use a 0.05 significance level. What is the value of the test statistic?

                                    Men          Women

Health insurance           50              20

No health insurance      30               10

OA. x^2=0.1637

OB. x^2=8.263

OC. x^2 =3.841

OD. x^2 =5.821

Please help me out! You can just give me your answer! PLEASE AND THANK YOU!

Answers

1) 15
2) 16
3) 134
4) 59

Answer:

15°, 16°, 46°, 59°

Step-by-step explanation:

1.) so the entire angle is 89°, then you take off the 44° and the 30°

89° - 44° - 30° = 15°

So the answer to 1 is x = 15°

2.) 90° - 74° = 16°

3.) 180° - 134° = 46°

4.) the angles are vertical, so they're equal:

x = 59°

hope this helps:)

The integral / 5√1-4x² dx is to be evaluated directly and using a series approximation. (Give all your answers rounded to 3 significant figures.) a) Evaluate the integral exactly, using a substitution in the form ax = sin 0 and the identity cos²x = (1 + cos2x). Enter the value of the integral b) Find the Maclaurin Series expansion of the integrand as far as terms in x6. Give the coefficient of x4 in your expansion: C) Integrate the terms of your expansion and evaluate to get an approximate value for the integral. Enter the value of the integral: d) Give the percentage error in your approximation i.e. calculate.

Answers

a) the value of the integral 1.664. b) the coefficient of x4 is (3/1280). c) the value of the integral  2.14 d) the percentage error in the approximation is -28.67%.

a) To evaluate the integral exactly, we make a substitution in the form of ax = sin 0 where a = (1/2).

Substitute x = (sin θ)/2, dx = (cos θ)/2 dθ, and 1 - 4x² = cos² θ in the integral to get it in terms of θ.

∫5√(1-4x²)dx = ∫(5/2) cos²θ dθApply the identity cos²θ = (1 + cos 2θ)/2 to simplify the integrand as shown.∫(5/2) cos²θ dθ = (5/4)∫(1 + cos2θ) dθ = (5/4)θ + (5/8)sin 2θ

Evaluate the above expression from 0 to π/2 to get the value of the integral.

(5/4)θ + (5/8)sin 2θ = (5/4) π/2 + (5/8) sin π = 1.664

b) The integrand is f(x) = 5√(1-4x²).We can write it as shown below, using the binomial series. f(x) = 5(1 - 4x²)^(1/2) = 5∑_(n=0)^∞〖(1/2)_n (2n)!/n! (1/16)^n x^(2n) 〗

The above expression is the Maclaurin Series expansion of f(x) as required.In the expansion, the coefficient of x4 is (1/2)_2 (2.4)/(2!) (1/16)^2 = (3/1280)

c) Integrating each term of the expansion, we obtain the following expression.(5/4)θ + (5/8)sin 2θ = (5/4) π/2 + (5/8) sin π = 1.664

We approximate the value of the integral using the first three terms of the series expansion, and then add the values of the integrated terms.

The terms up to x4 are included in this calculation. I=5[1+(1/2) (-4x²) +(1/2)_2 (-4x²)²]I=5[1-2x²+3x^4/4] = (5/4) (π/2 + (5/16)π²) ≈ 2.14

d) The percentage error in the approximation is given by:%Error = [(Exact value - Approximation value)/ Exact value] x 100Substitute the appropriate values to calculate.%Error = [(1.664 - 2.14)/1.664] x 100 = -28.67% (correct to 3 significant figures)Thus, the percentage error in the approximation is -28.67%.

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XA ) -
Calculate the volume of the prism by first finding the total number of half-unit
cubes that will fill it. There are 8 half-unit cubes in every unit cube.
23
A. Number of half-unit cubes = 10
V = 2 cubic units
B. Number of half-unit cubes = 20
V=2 cubic units
O C. Number of half-unit cubes = 20
V = 10 cubic units
D. Number of half-unit cubes = 10
V = 5 cubic units

Answers

Answer:

Option B will be your answer

Step-by-step explanation:

V=2 1/2×1/2×2

=2.5 cube

volume of 1/2 cubic units =)(1/2×1/2×1/2=0.125cube^3

2.5/0.125=20

Hope it helps...

your answer is option B

v = 2½

number of half unit cubes = 20

Find k given that these three points are collinear.
A(0, -2), B(2, 0), and C(5, k)

Answers

Answer:

k = 3.

Step-by-step explanation:

If they are collinear the slope of AB = the slope of BC, so :-

(0- (-2)) / (2 - 0) = (k - 0) / (5 - 2)

2/2 = k/3

1 = k/3

k = 3.

The sum of the lengths of the sides of triangle ABC is 25 in . The lengths of sides overline AB and overline BC are 9 inches and 8 inches . Find the length of side overline AC and classify the triangle.

Answers

Answer:

AC = 8 The classification is isosceles

Step-by-step explanation:

Factor 30-24x


6(15-12x)

6(5x-4x)

x(5-4x)

6(5 - 4x)

Answers

Answer:

the second option

Step-by-step explanation:

pretty sure it's the second option

hope this helped ;)

Answer:

6 (5 - 4x)

Step-by-step explanation:

[tex]\sf 30-24x[/tex]

30 → 6 * 5

24 → 6 * 4

[tex]\sf 6* \:5-6* \:4x[/tex]

[tex]\sf 6\left(5-4x\right)[/tex]

Can someone please help me with this? And please no links.​

Answers

Answer:

1x + 15?

Step-by-step explanation:

help pleaseeeeeeeeeee

Answers

They are alternate exterior angles which means they have the same degree

Solution: 70 degree

Find the distance between the points ( -5,1) and (4,0) round to the nearest tenth

Answers

Answer:

9.1 units

Step-by-step explanation:

formula of a distance of two points:

[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex] where x and y indicate the coordinates of the points

[tex]\sqrt{(4+5)^2 + (-1)^2} = \sqrt{81 + 1} = \sqrt{82} = 9.1 units[/tex]

Can someone answer one of these rows. It’s volume of prisms.

Answers

Answer:

1.

Step-by-step explanation:

base formula

is length × height so that would be 11×4=44

base= 44

height=4

volume= 132

2.

base formula

since its a cube it would be length× hight = 36

base= 36

hight=6

volume =216

3.

base formula

pie×radius^2 so that would be 3.14×1.5^2= 14.80

base 14.80

hight 4

volume= 59.2

4

ok so-
{[Math from BIM]}
ss below

Answers

Answer:

2 real solutions

Step-by-step explanation:

x=6i, -6i

A: y=5x+7 b:y= 3x+5 c: y=2x+5

Answers

Answer: A: y=5x+7

Step-by-step explanation: Hope this help :D

3
Which conical container holds more water?
1
1
-
1
1
k
8 cm
8 cm
or
1
4 cm
6 cm
Cone 1
Cone 2
Answer:

Answers

Come 2 because it has more volume

8/9 + 2/3 + 1/6 = PLeASe HeLp

A. 11/8

B. 11/15

C. 1 13/18

D. 1 2/9

Answers

Answer:

C. 1 13/18

Explanation:

A bridge combines two cities X and Y. Cars cross this bridge according to a Poisson process of rate µ= 600/hour. Independently each car travels from X to Y with probability p = 0.XX XX is the last two digits of your student ID after the decimal point (for example: if your student ID is 63171234, you should use p = 0.34) and from Y to X with probability 1 - p. a. What is the probability that during a one minute period at noon 2 cars cross the bridge? b. What is the probability that during a one minute period at noon 2 cars travel from X to Y?

Answers

The probability of 2 cars crossing the bridge from X to Y in a 1-minute period is:

P(X = 2) = ((λ^x) / x!) * e^(-λ)

P(X = 2) = ((XX/100 * 10)^2 / 2!) * e^(-XX/100 * 10)

P(X = 2) = (XX/500) * e^(-XX/100 * 10)

P(X = 2) = (XX/500) * 0.000045

a) Let X be the number of cars that cross the bridge in a 1-minute period.

Since the Poisson process with a rate of µ = 600/hour, the rate of cars crossing the bridge is

λ = 600/60

= 10/min.

The probability that two cars will cross the bridge during the 1-minute period can be calculated by the following formula:

P(X = 2) = ((λ^x) / x!) * e^(-λ)

P(X = 2) = ((10^2) / 2!) * e^(-10)

P(X = 2) = 0.0045

b) Let Y be the number of cars that travel from X to Y in a 1-minute period.

Since the probability that a car travels from X to Y is p = 0.XX,

The probability that a car travels from Y to X is 1 - p.

As per the Poisson process, the probability of

λ = 10/min.

Let X be the number of cars that cross the bridge from X to Y in a 1-minute period.

Then X follows a Poisson distribution with a rate of

µ = 10*p

= XX/100 * 10.  

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Joe has 3 1/4 gallons of punch. He adds 1 1/2 quarts of juice to the punch . He drinks 1/4 quarts of punch . Which expression can be used to fine the number of quarts of punch joe has left

Answers

Answer:

13 + 1 1/2 - 1/4

Step-by-step explanation:

1 gallons = 4 quarts

3 1/4 = 13/4 x 4 = 13

Quarts left = original quart + quart added - quart drunk

13 + 1 1/2 - 1/4

Find the radius of convergence, R, of the series. OD x40 Σ n = 1 n! R = Find the interval, I, of convergence of the series.

Answers

The interval of convergence, I, is (-∞, +∞), which means the series converges for all real values of x.

How did we arrive at this assertion?

To find the radius of convergence, use the ratio test. The ratio test states that for a power series of the form:

Σ(aₙ × xⁿ)

where aₙ is the nth term of the series, the radius of convergence R is given by:

R = lim(n→∞) |aₙ / a_(n+1)|

In this case, the series:

Σ(n!) × xⁿ

Apply the ratio test to find the radius of convergence:

|aₙ / a_(n+1)| = |(n!) × xⁿ / ((n+1)!) × xⁿ⁺¹|

= |x / (n+1)|

Taking the limit as n approaches infinity:

lim(n→∞) |x / (n+1)| = |x / ∞| = 0

Since the limit is 0, the series converges for all values of x. This means that the radius of convergence, R, is infinite (R = ∞).

Now, let's find the interval of convergence, I. Since the radius of convergence is infinite, the series converges for all values of x. Therefore, the interval of convergence, I, is (-∞, +∞), which means the series converges for all real values of x.

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A die is rolled 100 times. A 1 is rolled 20 times, a 2 is rolled 14 times, a 3 was rolled 20 times, a 4 was rolled 15 times a 5 was rolled 19 times, and a 6 was rolled 12 times.
a) What is the experimental probability of rolling a 6?
b) What is the theoretical probability of rolling a 6?

Answers

Answer:

A) Experimental probability = 0.12

B) Theoretical probability = 1/6

Step-by-step explanation:

A) Experimental probability is based on the total number of times an event occurs with respect to the total outcome of the experiment in question.

Now, we are told that the die was rolled 100 times and that 6 was gotten 12 times for the 100 rolls.

Thus;

Experimental probability = 12/100

Experimental probability = 0.12

B) Theoretical probability is the number of ways that an event can occur in relation to the total outcomes.

Here, the number of ways 6 can occur is 1 and the total outcome is 6 possible due numbers.

Thus,

Theoretical probability = 1/6

HURRY WILL MARK BRAINLIEST subtract 2x from both sides = x+2=8

Then subtract 2 from both sides and you'll get x=6.

Answers

Answer:

x=6

Step-by-step explanation:

x+2=8

subtract 2 from both sides

x=6

consider a normally distributed population with mean =10 and standard deviation σ=2.5. suppose a random sample of size is selected from this population. Find the distribution of X and the indicated probability in each of the following cases. a. n = 7 P(X < 9)
b. n = 12, P(X> 11.5). c. n = 15, P(9.5 10.25). e. n=100, P(X <9.8 UX >0.2)

Answers

The probability P(Z < -1.06) is approximately 0.142. The probability P(Z > 2.386) is about 0.008. The probability P(-0.777 < Z < 0.777) is approximately 0.456.

The probability P(X < 9.8) ≈ 0.211. The probability P(X > 10.2) =  = 0.212. The probability P(X < 9.8 or X > 10.2) = 0.423.

To locate the distribution of X and the indicated possibilities for the given instances, we need to use the residences of the everyday distribution. Given that the populace has a median (μ) of 10 and a widespread deviation (σ) of 2.5, we will continue as follows:

a. N = 7, P(X < 9):

For a pattern size of seven, the distribution of X follows a normal distribution with the equal mean (10) however a trendy deviation of σ/sqrt(n) = 2.5/[tex]\sqrt{7}[/tex] ≈ 0.944.

To discover P(X < nine), we need to standardize the cost of 9 with the use of the Z-rating formula: Z = (X - μ) / σ.

Substituting the values, we get Z = (9 - 10) / 0.944 ≈ -1.06.

Using a standard regular distribution table or calculator, we are able to locate that the chance P(Z < -1.06) is approximately 0.142.

B. N = 12, P(X > 11.5):

For a sample length of 12, the distribution of X follows a regular distribution with the same suggestion (10) but a well-known deviation of σ/[tex]\sqrt{n}[/tex] = 2.5/[tex]\sqrt{12}[/tex] ≈ 0.7217.

To discover P(X > 11.5), we standardize the value of 11.5 for the usage of the Z-rating method: Z = (X - μ) / σ.

Substituting the values, we get Z = (11.5 - 10) / 0.7217 ≈ 2.386.

Using a trendy everyday distribution table or calculator, we will locate that the chance P(Z > 2.386) is about 0.008.

C. N = 15, P(9.5 < X < 10.25):

For a sample size of 15, the distribution of X follows a normal distribution with identical implies (10) however a popular deviation of σ/sqrt(n) = 2.5/[tex]\sqrt{15}[/tex]≈ 0.6455.

To discover P(9.5 < X < 10.25), we need to standardize the values using the Z-score components.

Z1 = (9.5 - 10) / 0.6455 ≈ -0.777, and Z2 = (10.25 - 10) / 0.6455 ≈ 0.777.

Using a widespread ordinary distribution desk or calculator, we can locate that P(-0.777 < Z < 0.777) is approximately 0.456.

D. N = 100, P(X < 9.8 or X > 10.2):

For a sample size of 100, the distribution of X follows a regular distribution with the equal implies (10) however a general deviation of σ/sqrt(n) = 2.5/[tex]\sqrt{100}[/tex] = 0.25.

To find P(X < 9.8 or X > 10.2), we need to calculate the probabilities for each person's case and subtract them from 1.

P(X < 9.8) = P(Z < (9.8 - 10) / 0.25) ≈ P(Z < -0.8) ≈ 0.211.

P(X > 10.2) = P(Z > (10.2 - 10) / 0.25) ≈ P(Z < -0.8) ≈ 1 - P(Z < 0.8) ≈ 1 - 0.788 = 0.212.

Therefore, P(X < 9.8 or X > 10.2) ≈ P(X < 9.8) + P(X > 10.2) ≈ 0.211 + 0.212 = 0.423.

Remember to consult a trendy everyday distribution desk or use a calculator to locate the possibilities associated with the Z-scores.

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According to a college survey, 22% of all students work full time. Find the mean for the number of students who work full time in samples of size 16. Round to the nearest tenth. A. 4.0 B. 3.5 C. 2.8 D. 0.2

Answers

The average number of full-time students in samples of size 16 is B) 3.5.

Because of the extraordinarily huge population, this can be regarded a binomial distribution if all students globally are considered. A normal distribution is commonly used to approximate the binomial distribution. As a result, the mean equals the expectation:

E[x] = np = (16)(0.22) = 3.52

μ = 3.52

The likelihood of success raised to the power of the number of successes is multiplied by the probability of failure raised to the power of the difference between the number of successes and the number of trials. The product is then multiplied by the sum of the number of trials and successes.

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Juan is a teacher and takes home 618 papers to grade over the weekend. He can grade
at a rate of 6 papers per hour. How many papers would Juan have remaining to grade
after working for 7 hours?

Answers

Answer:

576

Step-by-step explanation:

6 papers an hour. 7 hours spent grading.

So 7•6 = 42

618-42

576

Hope this helps

Hello i would really appreciate it if you help!

Answers

H can’t diff go lbvvhk icon into
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The study further estimates that t years from now, there will be r(t) = 1 _ 121 + 71 5t * + Bt km? of forest cover in Country Z, and the country's population will be BC million people. Determine the rate at which the local temperature in B+C(0.8) Country Z is changing with respect to time 3 years from now. Give your answer correct to 3 significant figures. you are given the cost per item and the fixed costs. assuming a linear cost model, find the cost equation, where c is cost and x is the number produced. cost per item = $11, fixed cost = $4650 Hiring for fit, providing quality onboarding, and offering great benefits are ways that companies candecrease turnover.decrease job performance.increase counterproductive work behaviors.increase explicit bias. it is common to hear the bassoon in jingle and commercial recordings..T/F The UK's economy is skill-intensive in comparison to Eastern Europe's and British firms have offshored some of their activities to Eastern Europe. Brexit will in- crease transportation and communication costs with countries in Eastern Europe. Focusing on offshoring only, what is the economic effect of Brexit? (a) Output in the UK will increase and high-skill workers will lose (b) Output in the UK will decrease and high-skill workers will lose (c) Output in the UK will increase and high-skill workers will gain (d) Output in the UK will decrease and high-skill workers will gain P is the vector space of all polynomials of order P2 is the vector space of polynomials with a real number of quadratic or less C a) briefly describe one perspective about womens roles during the 1920s expressed through the image. fisk tires Refer to the Enhanced Entity - Relationship (EER) Model to answer the following questions. 1- Define the following terms a Super Class of a Subclass b- Superclass/Subclass relationship - Local attributes d- Category 2. Discuss user-defined and predicate-defined subclasses, and identify the difference between the two 3. Discuss the two main type of constraints on specializations and generalizations 4- What is the difference between the specialization and generalization? Why do we not display this difference in schema diagram? 5. What is the difference between a specialization hierarchy and specialization lattice? as the porosity of a refractory ceramic brick increases, the We are very interested in finding out if there is or has been life beyond Earth. What do we think is a possible location for life right now in our own Solar System, and why? When looking beyond the Solar System to other planetary systems, how do we evaluate the potential for habitability? Name the primary physical feature(s) currently considered necessary for life on another planet. please do it in 10 minutes will upvote 10. In a recent government discussion,a senior minister stressed the importance of levelling-up' the economy,currently reliant on agriculture,mining and a heavy industry sector with low-quality capital stock. Levelling-up' was presented as a programme of policies to encourage investment in industry and improvements in efficiency. Discuss four ways in which the government could intervene in the economy to support these aims. A Saraya Inc. provides its employees two weeks of paid vacation per year. As of December 31, 65 employees have earned two weeks of vacation time to be taken the following year. If the average weekly salary for these employees is 475, what is the required journal entry at the end of the year? OA Debit Salaries and Wages Expense for 61,750 and credit Salaries and Wages Payable for 61,750OB Debit Salaries and Wages Expense for 123,500 and credit Salaries and Wages Payable for 123,500OC Debit Salaries and Wages Payable for 123,000 and credit Salaries and Wages Expense for 123,000OD No entry is required If you are far away from your home, and you forgot the road map, how you will get yourlocation? Assume taxes are zero and the consumption function is C = 0.75(Yd) + $200. Based on this information, autonomous consumption is $___ and the marginal propensity to consume is ___. If income increases by $200, then consumption increases by $___. a competitive firm can sell its output for a price (p) of $40 and its total production costs are given by the following function: how much profit does this firm earn, if it produces at the profit-maximizing level of output? a. $95 b. $55 c. $40 d. cannot be calculated with the information given. How would you compare what women want in a mate versus what men want in a mate? Declaration of Sentiments complaints:1. Women had to obey laws created without their input.2. Women could not attend college.3. Married women were, for all intents and purposes, legally dead.4. Women were not allowed to vote.5. Womens self-esteem was ruined due to their treatment at the hands of men.6. Women had fewer rights than men with low morals and men who were not citizens.7. Unmarried women were taxed with no say in how the money was to be spent.8. Women could not be ministers, doctors, or lawyers. Womens work was low-paying.9. Women in divorce cases had no say over matters such as who would raise the children.10. A married woman had no rights to property or the money she earned.11. Men were given complete control over and responsibility for their wives.12. Men were unrightfully "playing God" by deciding what was appropriate for women.13. Because women could not vote, they could be more easily exploited.14. Women were not allowed to hold important positions in the church or the state.15. There was a different standard of behavior for men and women.Questions:1. Which complaint(s) would you consider the most serious?2. Which complaint(s) most resemble complaints of colonists prior to the Revolutionary War?3. Which complaint(s) relate more to entrenched attitudes about women than they do to legal obstacles to equality?4. Whichif anyof the problems referred to in the complaints do you regard as still problematic today?5. Which problem(s) referred to in the complaints, once solved, likely led to an improvement in society for everyone? heart of darkness the description of the river in the first paragraph functions primarily to (2 points)