ALGEBRA

tell whether the given value is a solution of the equation. (yes or no)

1. x+16=20;x+4

2. p-4+28;p+32

3. 4w+44;w=10

4. y/6= 6;y=24

Given:

The sequence is:

2, 6, 10, 15,...

To find:

Whether the given sequence is Arithmetic, Geometric, Neither.

Solution:

We have,

2, 6, 10, 15,...

Different between consecutive terms are:

[tex]6-2=4[/tex]

[tex]10-6=4[/tex]

[tex]15-10=5[/tex]

Since [tex]4\neq 5[/tex], therefore the given sequence has no common difference. It means it is not an arithmetic sequence.

Ratio of consecutive terms are:

[tex]\dfrac{6}{2}=3[/tex]

[tex]\dfrac{10}{6}=\dfrac{5}{3}[/tex]

Since [tex]3\neq \dfrac{5}{3}[/tex], therefore the given sequence has no common ratio. It means it is not a geometric sequence.

Since the given sequence is neither arithmetic nor geometric, therefore the correct option is C.

Answer:

[tex]f^{-1}(y)=(y+4)^3[/tex]

Step-by-step explanation:

f(x) = 4 -x^1/3

y = 4 - x^1/3

y + 4 = x^1/3

raise both sides to a power of 3

(y+4)^3 = x

x = (y+4)^3

[tex]f^{-1}[/tex](y)= (y+4)^3

Answer:

5/6 + 5/3 = 5/2

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

plz mark brainliest    also the other answer is correct i just didnt show how

Answer:

25%

Step-by-step explanation:

3/12=d/100

12d=300

12÷12d=d

300÷12=25

d=25

hope this helps

Answer:

x and y are both equal to 115

Step-by-step explanation:

Vertical angles are congruent (x ~= 115)

Corresponding angles are congruent (x ~= y)

Answer:

Step-by-step explanation:

x = 100°

Step-by-step explanation:

They are adjacent.

x + 80 = 180

x = 100°

Answer:

Area, A = 63.6 square yards

Step-by-step explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]

Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]

Given the following data;

Length, b1 = 5 yards

Width, b2 = 5.6 yards

Height, h = 12 yard

To find the area of geometrical shape (trapezoid), we would use the above formula;

A = 1/2 (b1 + b2) * h

Substituting into the formula, we have;

A = ½ * (5 + 5.6) * 12

A = ½ * (10.6)*12

A = 5.3 * 12

Area, A = 63.6 square yards

Answer:

B

Step-by-step explanation:

p(x^2>10.65)=0.03

Answer:

Explanation:

given:

∠T=90° , ∠R=39° and TR = 55 ft

ST = 55×tan(39)

ST = 55×0.80..

ST = 44.54 ft

The sample size that will make the Alex's claim true is option E. 35.

Confidence interval in statistics is defined as the certain range of values that you estimate for the unknown parameter lies within.

This means that, if you do your experiment more than once and do resampling, then this is the percentage that the parameters falls within a range.

Sample size of Sasha = 30

She took a confidence interval of 95%.

Alex claims he can construct a confidence interval that is narrower by changing the sample size but keeping all other things the same.

The relation between the sample size and confidence interval is that when the size of sample increases, the confidence interval becomes narrower.

So if the Alex's claim has to be true, sample size must increase.

He can use sample size of 35.

Hence the correct option is E.

Learn more about Confidence Interval here :

https://brainly.com/question/22712087

#SPJ2

Answer:

1. square, 28cm^2

2. triangle, 60ft^2

3. trapezoid, 21ft^2

4. pentagon, 30cm^2

Step-by-step explanation:

Answer:

His is a normal distribution question with a) x1 = 480 x2 = 520 P(480.0 < x < 520.0)=? This implies that P(480.0 < x < 520.0) = P(-2.4326 < z < 0.3475) = P(Z < 0.3475) - P(Z < -2.4326)

Step-by-step explanation:

A Sample Of 65 Scores Is Chosen. Use The TI-84 Plus Calculator. Part 1 Of 5 (a) What Is The Probability That The Sample Mean Score Is Less Than 5007

Answer:

0.006 (decimal form) or 0.6% (percentage form)

Step-by-step explanation:

0.1(0.2)(0.3) = 0.006

C and E i did it and got it right and Np

Answer:

(x-10)(x+10)

Step-by-step explanation:

the answer is:(x-10)•(x+10)

Answer:

The standard deviation of the set is: 1.5

Step-by-step explanation:

The actual standard deviation is 1.58... but to 1 decimal place it's 1.5

Answer:

isn't that a graph perhaps ?

Answer:

L=(24*12) + 6

Step-by-step explanation:

24 feet by 12 since each foot is 12 inches after that you'll need to add the rest of the inches you've already measured which is why you add 6

Answer:

$632

Step-by-step explanation:

Set up an equation:

$30(20 hours) + ($400 × 0.08)

$600 + $32

$632

Step-by-step explanation:

Given

h = 5 mi

r = 6 mi

Surface Area of Cylinder =

[tex]2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi(6)(5) + 2\pi ({6}^{2}) \\ = 2\pi(30) + 2\pi(36) \\ = 60\pi + 72\pi \\ = 132\pi \\ = 414.690 {mi}^{2} (nearest \: thousandth)[/tex]

Answer: 414.69 m2

Step-by-step explanation:

Answer:

option a. true.

.............

Answer:

Nice and simple :)

TRUE :)

go0ge,com

Step-by-step explanation:

Answer:

$ 143

Step-by-step explanation:

she had $ x before she spent the money

x - 65 = $ 78

x = $ 143

Step-by-step explanation:

hey, hope this helps. :)

Answer:

The solution is 6-->4-->9-->7-->1

Step-by-step explanation:

Answer:

x= −1/2, x=52/5

Step-by-step explanation:

2(x+7)=13

(2)(x)+(2)(7)=13(Distribute)

2x+14−14=13−14

2x=−1

2x/2=−1/2

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

5(x−7)=17

(5)(x)+(5)(−7)=17(Distribute)

5x+−35=17

5x−35=17

5x−35+35=17+35

5x=52

5x/5=52/5

Answer:

the answer is B

Step-by-step explanation:

Answer:

Which solid has one rectangular base and four lateral faces in the shape of triangles? rectangular prismrectangular pyramidsquare pyramidtriangular prism

Step-by-step explanation:the answer is B

Answer: Sensitivity Analysis. The notion of duality is one of the most important concepts in linear programming. Basically, associated with each linear programming problem (we may call it the primal. problem), defined by the constraint matrix A, the right-hand-side vector b, and the cost.

Step-by-step explanation:

Answer:

The perimeter of the resulting image is 13 centimeters

Step-by-step explanation:

we know that

Rotation, reflection, and translation are transformations that do not produce changes in the dimensions of the figure, while dilation is a transformation that does affect the dimensions of the figure.

In this problem, we have rotation and reflection

therefore

The perimeter of the resulting figure is the same as the original figure