Find the value of t that makes these two ratios proportional
2t/7= 42/49

Answer:

The answer is "Initial value".

Step-by-step explanation:

The initial function value was its feature desired output unless the input signal is 0. It's an input valuing name, as well as the name for just a function's performance values set. In all input forces are defined as their function domain as well as the range of its program is called the output collection.

Answer:

initial value

Step-by-step explanation:

Using a system of equations, the ingredients used for the mixture are as follows:

Our interest here is in the quantity of each ingredient used for the mixture.

The solution lies in the information that Gummy Candy has three times the pieces of Jelly Beans.  We assume that the quantity of Hard Candy is the same as that of Jelly Beans.

We can use a system of equations to solve the quantity problem as below.

The quantity of the mixture = 13 pounds

The total cost of the mixture = $20

The cost per pound:

Gummy Candy = $1

Jelly Beans = $2

Hard Candy = $2

1g + 2j + 2h = 20

The ratio of Gummy Candy to Jelly Beans = 3:1

Let Gummy Candy = 3p

Let Jelly Beans = 1p

Let Hard Candy = 1p

3p + 1p + 1p = 13

5p = 13

p = 2.6

Gummy Candy = 3p

= 3 x 2.6

= 7.8 pounds

Jelly Beans = 2.6 pounds

Hard Candy = 2.6 pounds

Total ingredients in pounds = 13 pounds

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The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

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4) We have to calculate how many times taller is the actual monument compared to the model.

The actual height is 87 1/2 ft.

The model height is 1 1/4 ft.

We can calculate how many times taller is the actual monument compared to the model by dividing the actual height by the model height:

Answer: the monument is 70 times taller than the model.

The operation we use to solve this problem is a quotient between the two heights.

5) We have a monument that is a rectangular prism.

We know that the height is 5' 2'' and the width is 4' 3''.

We also know that the width (W) is 5 inches less than half the length.

We have to find the length (L).

We then have to write:

To solve this, we have to add 5 inches to the width first and then multiply the result by 2:

Answer: the length is 7' 6''.

The first operation is adding (we add 5'' to the width) and the second operation is multiplication (we multiply the result by 2).

Answer:

7,16,x,x,x is the wire answer

Answer:

27

Step-by-step explanation:

216/8=27

hope it helps

Answer:

27

Step-by-step explanation:

Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours

This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.

Let's assume that Sarah worked x hours.

Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.

Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.

Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.

The total number of shirts ironed by both Sarah and Penelope is 475 shirts.

So, we can write the equation: 30x + (35/2)x = 475.

To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.

Now, we can solve for x: x = (475 * 2) / 95 = 10.

Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.

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Answer:

b

Step-by-step explanation:

this is the answer

The equation given is:

We can use the property:

to break this apart. Shown below:

We can solve for k [we divide both sides by 2^x to isolate k]:

Now, let's do a little algebra. The steps are shown below:

The correct answer is

Answer:

A) If it is a triange, the figure has 3 sides.

Step-by-step explanation:

The first half or in this case, the thing is the conclusion statement

Answer:

B: A figure has three sides.

Step-by-step explanation:

The hypothesis is the first part of the conditional statement.

                                               Question 1)

Given the function

f(x) = 2|x+10| - 6

You need to remember that:

f(x) = y

f(0) means we need to determine the value of y at x = 0.

so substitute x = 0 in the function

\(f\left(x\right)\:=\:2|x+10|\:-\:6\)

\(f\left(0\right)\:=\:2|0+10|\:-\:6\)

         \(=2\left|10\right|-6\)

Apply absolute value:    \(\left|a\right|=a,\:a\ge 0\)

         \(=2\cdot \:10\)

         \(=20\)

Thus,

\(f\left(0\right)\:=\:20\)

                                               Question 2)

Given the fuction

g(x) = x+1

substitute g(x) = 20 in the function

20 = x+1

x = 20-1

x = 19

Thus,

x = 0

                                                  Question 3)

Given the function

f(x)=2|x+10|-6

substitute x = 1 in the function

f(1)=2|1+10|-6

f(1)=2|1+10|-6

f(1) = 2|11| - 6

Apply absolute value:    \(\left|a\right|=a,\:a\ge 0\)

f(1) = 2(11) - 6

f(1) = 22 - 6

f(1) = 16

Given the function

g(x)=x+1

substitute x = 0 in the function

g(0) = 0+1

g(0) = 1

Thus,

g(0)+f(1) = 16+1

             = 17

Given :

Mean = 16

To find :

Age of the fifth boy

So,

\(x + 15 + 14 + 18 + 19 = 5 \times 16\)

\( = >x + 66= 80\)

\( = > x = 80 - 66\)

\( = > x = 14\)

Hence, the age of the fifth boy is 14 years

The ratio is  15+\(r_2\) : \(12+r_1\).

What is surface area?

A three-dimensional object's surface area is the space it takes up when viewed from the outside.

Here surface area of the cylinder = \(2\pi rh+2\pi r^2\) square unit

=> A = \(2\pi r(h+r)\) square unit.

Now Height = 12 in , radius = r1 then,

=> \(A_1 = 2\pi r_1(12+r_1)\) -----> 1

Now Height = 15 in , radius = r2 then,

=>\(A_2=2\pi r_2(15+r_2)\)-------> 2

Now the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder then,

=>\(2\pi r_2(15+r_2) : 2\pi r_1(12+r_1)\)

=>\(15+r_2:12+r_1\)

Hence the ratio is \(15+r_2:12+r_1\).

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Answer:

25:16

Step-by-step explanation:

I took the

Answer:

Step-by-step explanation:feel pleasure to help u.

The maximum temperature during summer in that year was 34°C.

It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.

A temperature rise of that magnitude would be extremely unusual and potentially dangerous.

However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.

The minimum temperature in January was -10°C, and if we add 44°C to it, we get:

-10°C + 44°C = 34°C

Therefore, the maximum temperature during summer in that year was 34°C.

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The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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Step-by-step explanation:

Part A

There are 25 students in the class, and the least number of brothers or sisters is 0, so the least data value on the line plot should be 0. The greatest number of brothers or sisters is 4, so the greatest data value on the line plot should be 4.

Part B

There are 7 students with 2 brothers or sisters, so there will be 7 dots above 2. There are 4 students with 1 brother or sister, so there will be 4 dots above 1. There are 6 students with 3 brothers or sisters, so there will be 6 dots above 3. There are 3 students with 4 brothers or sisters, so there will be 3 dots above 4.

Therefore, the correct answers are:

Least data value: 0

Greatest data value: 4

Dots above 1: 4

Dots above 4: 7

Dots above 3: 6

Answer:

the ancwer is -2 -1 0 1 2

Step-by-step explanation:

Yes

Answer:

\(x = 8\±\sqrt{10\)

\(a =8\)    \(b = 10\)

Step-by-step explanation:

Given

\(x^2 - 16x + 54 = 0\)

Required

Complete the square

\(x^2 - 16x + 54 = 0\)

Subtract 54 from both sides

\(x^2 - 16x + 54 -54= 0-54\)

\(x^2 - 16x = -54\)

--------------------------------------------------

Take half of - 16

\((-16/2) = -8\)

Square the result

\((-8)^2 = 64\)

Add the squared result to both sides of the equation

--------------------------------------------------

So, we have:

\(x^2 - 16x +64= -54+64\)

\(x^2 - 16x +64= 10\)

Expand

\(x^2 - 8x - 8x + 64 = 10\)

Factorize

\(x(x - 8) - 8(x - 8) = 10\)

Factor out x - 8

\((x - 8)(x - 8) = 10\)

\((x - 8)^2 = 10\)

Take square roots

\(x - 8 = \±\sqrt{10\)

Solve for x

\(x = 8\±\sqrt{10\)

We have:

\(x = a - \sqrt{b}\)

\(x = a + \sqrt{b}\)

By comparing the above with: \(x = 8\±\sqrt{10\)

Answer:

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

2/3 * 24 = 16

The operation between a rational and a irrational number that results in a rational number is a multiplication, hence the expression ab could represent a rational number.

If a number can be represented by a fraction, it is rational, otherwise, it is irrational.

The addition/subtraction of a rational and an irrational numbers is irrational, while the multiplication is rational, hence the expression ab could represent a rational number.

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The surface areas of the figures are 336, 82 and 836

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

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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Answer:

a) Due to the higher z-score, Ronald performed better relative to his peers on the test.

b) Ronald needed a grade of at least 732.5, and Rubin of at least 33.58.

c) 95% of the population fall between graded of 4.868 and 31.132 on the ACT.

95% of the population fall between graded of 304 and 696 on the SAT.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

(a) Relative to their peers who also took the tests, who performed better on his test? Explain.

We have to find whoever has the higher z-score.

Ronald:

Ronald scores 700 on the math section of the SAT exam. The distribution of SAT scores is approximately normal with a mean of 500 and a standard deviation of 100. So the z-score is found when \(X = 700, \mu = 500, \sigma = 100\). So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{700 - 500}{100}\)

\(Z = 2\)

Rubin:

Rubin takes the ACT math exam and scores 31 on the math portion. ACT scores are approximately normally distributed with a mean of 18 and a standard deviation of 6.7. So the z-score is found when \(X = 31, \mu = 18, \sigma = 6.7\). So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{31 - 18}{6.7}\)

\(Z = 1.94\)

Due to the higher z-score, Ronald performed better relative to his peers on the test.

(b) A certain school will only consider those students who score in the top 1% in the math section. What grades would Ronald and Rubin have to receive on their respective tests to be considered for admission?

They have to be in the 100 - 1 = 99th percentile, that is, they need a z-score with a pvalue of at least 0.99. So we need to find for them X when Z = 2.325.

Ronald:

\(Z = \frac{X - \mu}{\sigma}\)

\(2.325 = \frac{X - 500}{100}\)

\(X - 500 = 232.5\)

\(X = 732.5\)

Rubin:

\(Z = \frac{X - \mu}{\sigma}\)

\(2.325 = \frac{X - 18}{6.7}\)

\(X - 18 = 15.58\)

\(X = 33.58\)

Ronald needed a grade of at least 732.5, and Rubin of at least 33.58.

(c) Between what two grades does 95% of the population fall for the ACT and the SAT exams?

They fall between the 100 - (95/2) = 2.5th percentile and the 100 + (95/2) = 97.5th percentile, that is, they fall between X when Z = -1.96 and X when Z = 1.96.

ACT:

Lower bound:

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.96 = \frac{X - 18}{6.7}\)

\(X - 18 = -1.96*6.7\)

\(X = 4.868\)

Upper bound:

\(Z = \frac{X - \mu}{\sigma}\)

\(1.96 = \frac{X - 18}{6.7}\)

\(X - 18 = 1.96*6.7\)

\(X = 31.132\)

95% of the population fall between graded of 4.868 and 31.132 on the ACT.

SAT:

Lower bound:

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.96 = \frac{X - 500}{100}\)

\(X - 500 = -196\)

\(X = 304\)

Upper bound:

\(Z = \frac{X - \mu}{\sigma}\)

\(1.96 = \frac{X - 500}{100}\)

\(X - 500 = 196\)

\(X = 696\)

95% of the population fall between graded of 304 and 696 on the SAT.

Answer:

1, 120

Step-by-step explanation:

    3.2 x 107 = 342.4

+   7.2 x 108 = 777.6

_____________________

                       1, 120                          

Answer:

(3.2 × 107) + (7.2 × 108) =

342.4 + 777.6 =

1120

Step-by-step explanation:

The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7

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

(x + 1) (x - 5) = 16

The above expression is the product of two factors

(x + 1) and (x - 5)

And the result is 16

Express 16 as 8 * 2

So, we have

(x + 1) (x - 5) = 8 * 2

By comparison, we have

x + 1 = 8 and x - 5 = 2

When evaluated, we have

x = 7 and x = 7

This means that the value of x in the equation is 7

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Answer:

The jumping dolphin is approx. 6 meters under sea level

The flying seagull is approx. 8 meters under sea level

The mobula ray is approx. 2 meters under sea level

The clownfish is approx.t 4 meters under sea level

The octopus is approx.  8 meters under sea level

The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.

The flying seagull: The mobula ray is 11 meters lower than the flying seagull.

The octopus: The mobula ray is 11 meters higher than the octopus.

The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.

The flying seagull: The albatross is 3 meters lower than the flying seagull.

The octopus: The albatross is 13 meters higher than the octopus.

The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.

The flying seagull: The clownfish is 10 meters lower than the flying seagull.

The octopus: The clownfish is 6 meters higher than the octopus.

If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.

If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.

✧☆*: .｡. Hope this helps, happy learning! (✧×✧) .｡.:*☆✧