What is the value of x?

The calculated product of the vectors a and b is 17

From the question, we have the following parameters that can be used in our computation:

a = (4, 1, 1/5) and b = (6,-4, -15)

The product of the vectors can be calculated using

a * b = Sum of products of each position

Using the above as a guide, we have the following:

a * b = 4 * 6 + 1 * -4 + 1/5 * -15

Evaluate the expression

a * b = 17

Hence, the product of the vectors a and b is 17

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Answer:

The answer would be Y= 1/4X -3

Step-by-step explanation:

Hope it was helpful .

Good luck ^.^

Alex and Jack work for a computer software company. Alex can write a computer program in 24 hours, while

Jack can write it in 16 hours. How long will it take them to write the program together?

Answer: 9.6 hours

The statement is False.

(a) Let x be an integer. If 4x² + 3x + 7 is odd, then x must be even.Statement (a) is false.

Here is the explanation:We know that an integer is odd if and only if it can be represented in the form of 2k + 1, where k is any integer.Let us assume that x is an odd integer. Then, we can write x as 2k + 1, where k is any integer.Substituting the value of x in 4x² + 3x + 7, we get;4x² + 3x + 7 = 4(2k + 1)² + 3(2k + 1) + 7= 4(4k² + 4k + 1) + 6k + 3 + 7= 16k² + 16k + 4 + 6k + 10= 16k² + 22k + 14= 2(8k² + 11k + 7)which is an even integer as it is a multiple of 2.

Therefore, we have proven that if x is odd, then 4x² + 3x + 7 is even.So, we have disproved the statement as it is not true for all integers. It's only true for odd integers only. Therefore, statement (a) is false.

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The probability P(Z < -2.33 or Z > 2.33) is approximately 0.0198.

To find the probability P(Z < -2.33 or Z > 2.33) using the standard normal distribution, we can calculate the individual probabilities and then add them together.

Using a standard normal distribution calculator

The value for P(Z < -2.33) is approximately 0.0099.

P(Z < -2.33), which is approximately 0.0099.

we can add the two probabilities together

P(Z < -2.33 or Z > 2.33) = P(Z < -2.33) + P(Z > 2.33)

= 0.0099 + 0.0099

= 0.0198

Therefore, the probability P(Z < -2.33 or Z > 2.33) is approximately 0.0198

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Answer:

D

Step-by-step explanation:

The new mAs should be approximately 45 mAs.
The intensity of radiation at a given distance can be calculated using the inverse square law:

Intensity2 = Intensity1 × (Distance1/Distance2)^2

Given:
Intensity1 = 100 mR
Distance1 = 100 cm
Distance2 = 200 cm

Using the above formula, we can calculate the new intensity at 200 cm:

Intensity2 = 100 mR × (100 cm/200 cm)^2
Intensity2 = 100 mR × (1/4)
Intensity2 = 25 mR

To maintain the same exposure at the new distance, the new mAs needs to be adjusted accordingly. We can use the exposure maintenance formula:

mAs2/mAs1 = (kVp2/kVp1) × (Distance1/Distance2)^2 × (Gridratio2/Gridratio1)^2

Given:
mAs1 = 30 mAs
kVp1 = 120 kV
kVp2 = 138 kV
Gridratio1 = 5:1
Gridratio2 = 10:1

Substituting the given values into the formula, we can solve for mAs2:

mAs2/30 mAs = (138 kV/120 kV) × (100 cm/200 cm)^2 × (10/5)^2
mAs2/30 mAs = (1.15) × (0.5)^2 × (4)
mAs2/30 mAs = 1.15 × 0.25 × 4
mAs2/30 mAs = 0.115

Simplifying, we find:
mAs2 = 30 mAs × 0.115
mAs2 ≈ 3.45 mAs

Therefore, the new mAs should be approximately 45 mAs (rounded to the nearest whole number) to maintain exposure at 200 cm with a 10:1 grid and 138 kV.

To maintain exposure at a new distance of 200 cm with a 10:1 grid and 138 kV, the radiograph technician should set the new mAs to approximately 45 mAs. This adjustment takes into account the changes in distance, kV, and grid ratio while ensuring that the radiation intensity remains consistent.

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Answer: 3, The initial velocity of the rocket

Answer:

the initial velocity of the rocket

Step-by-step explanation:

The pizza is divided into 6 equal pieces in total: 3 initial slices, each further divided into 2 equal pieces.

A pizza is cut into 3 equal slices. Each slice is then cut into 2 equal pieces. How many pieces of pizza are there in total?

To solve this problem, we can use our definition of multiplication. Multiplication is repeated addition. In this case, we are repeatedly adding 2 to itself 3 times. This gives us 2 + 2 + 2 = 6. Therefore, there are 6 pieces of pizza in total.

We can also use math drawings to solve this problem. Here is a math drawing that shows how to find the product of 1/3 * 2/3:

The first row of the math drawing shows 1/3 of a pizza. The second row shows 2/3 of a pizza. The third row shows the product of 1/3 * 2/3. As you can see, the product is 6 pieces of pizza.

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Answer:

y = 10

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 20 ( divide both sides by 2 )

y = 10

Answer:

[tex]g \: y = 2x - 3 \\ [/tex]

if you insert x and y values in equation you can find the exact equation

Answer: $27.65

Step-by-step explanation:

0.18 = 6.3

Discount = $6.3

0.03 = 1.05

Tax = 1.05

35 - 6.3 - 1.05 = 27.65

Answer:

x=1 and y=1

Step-by-step explanation:

see attachment

Answer:

each glass will have 0.75 of a cup or 3/4 of a cup * 0.75 and 3/4 is the same*

Answer:

x=49

Step-by-step explanation:

A code with distance 2t + 1 can correct t or fewer errors using the minimum distance decoding criteria.

When considering the minimum distance decoding criteria, a code with a minimum distance of 2t + 1 can correct t or fewer transmission errors.

The minimum distance of a code refers to the smallest number of bit flips or symbol errors needed to transform one valid codeword into another. In this case, the distance is 2t + 1, which means that any two valid codewords in the code will have a minimum Hamming distance of at least 2t + 1.

By choosing the minimum distance decoding criteria, the decoder can identify and correct up to t or fewer transmission errors. This is because if the received codeword differs from the transmitted codeword by t or fewer errors, it will still be closer to the intended codeword than any other codeword in the code.

Therefore, the decoder can successfully correct these errors and recover the original transmitted message.

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Answer: x=17 and 98

Step-by-step explanation:

Those two angles are supplementary so just add them together and make it equal to 180.

Answer:

y=x^28x+31

Step-by-step explanation:

Answer:   y= x 4 − 6 y = 1 x − 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

(48x^2)(y) + (16x)(y^2).

This is addition, so the distributive property applies. [(48x^2)(y) + (16x)(y^2)]/8xy = (48x^2)(y)/8xy+(16x)(y^2)/8xy = 6x+2y.

Division rules are explained below.

I included the parentheses to emphasize the difference between x^2y, which means x to the 2y, and (x^2)(y), which is x^2 times y.

TELL ME IF THIS IS CONFUSING<,BECAUSE I DON'T THINK I EXPLAINED VERY WELL.

Answer:

Any number below 3

(2, negative infinity)

Answer:

here's the answer with steps

x + 2 < 5

-2 -2

x < 3

Multiply the length by width by the height/3

7 x 6 x 8/3 = 112 in^2

The answer is 112 in^2

Answer:

112

Step-by-step explanation:

Answer:

It's A I think. I did the math on math.way and it was differeten the the answers you have.

Step-by-step explanation:

The statement is true that:

When the data are interval, the parameters of interest are the population mean μ and the population variance σ² .

Given,

Mean and standard variance .

Here,

An interval estimator provides a range of values as an estimate of a parameter, considering uncertainty, while a point estimator provides a single value estimate. The Student's t-distribution is used when the population standard deviation is unknown, and the z-distribution is used when it is known.

Support for the statement:

True: When the data are interval, the parameters of interest are the population mean (μ) and the population variance (σ^2). The population mean represents the average value of the variable of interest in the population, while the population variance measures the variability or spread of the variable in the population.

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Answer:

Number of different ways of filling the position is   8961115245946500

Step-by-step explanation:

There are total of 4 positions which can be arranged in 4! Ways  

Like wise there are 12 positions. Hence the number of arrangements for these 12 positions would be 12!

Overall there are 12+4 = 16 positions in which 50 people needs to be arranged

Number of different ways of filling the position is  

50P16 /(12! *4!)

= 8961115245946500

The number of different ways of filling the position is,  8961115245946500

There are total of 4 positions can be arranged in 4! Ways  

Similarly  there are 12 positions.

Therefore, the number of arrangements for these 12 positions is  12!

If there is an arrangement of the data then we use the permutation

Therefore we can say that there are 12+4 = 16 positions in which 50 people needs to be arranged.

The number of different ways of filling the position is,

[tex]50P16 /(12! *4!)[/tex]

By using the calculater you can find,

= 8961115245946500

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Answer:

x^3+3x^2-46

Step-by-step explanation:

Answer: 40% i think

Step-by-step explanation:

Answer:

9 students is the correct answer :(

Answer:

P'(0, -4)

Step-by-step explanation:

when a coordinate (x, y) is rotated by 180 degrees, the resulting coordinate will be (-x, -y). Note that each coordinate is negated when rotated about 180 degrees

Given the coordinate P (0, 4). When rotated by 180 degrees, the resulting coordinate will be at P'(0, -4)