1. Maria can run 75 miles in 25 minutes. Eddie can run 150 miles in 50 minutes. Are these rates or ratios equivalent? Explain your answer. choo waver after a weals​

Functions f(x) = x² + 1 and g(x) = x – 4, the value equivalent  to f(g(10)) is, 37

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

f(x) = x² + 1

g(x) = x – 4

f(g(10)) = ?

f(g(x))  =  (x - 4)² + 1

           =  x² - 8x + 16 +1

           =   x² - 8x + 17

f(g(10)) =  10² - 8×10 + 17

            = 100 - 80 + 17

            = 37

The value of  f(g(10)) is 37

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\(|\Omega|=8\\|\text{odd}|=4\\\\P(\text{odd})=\dfrac{4}{8}=\dfrac{1}{2}\)

Answer:

4/8

or, 1/2

Step-by-step explanation:

odd numbers (O) = (1,3,5,7) = 4

total numbers (T) = 8

P(odd) = n(O)/n(T)

           = 4/8

Answer:

An equivalent fraction for 8/12 could be 2/3

Step-by-step explanation:

It could be 2/3 because I divided 8 by 2 which is 4 and 12 by 2 which is 6 and the answer for that is 4/6 as a fraction, now notice how we could still divide the number by 2, so 4 divided by 2 is 2 and 6 divided by 2 is 3. So the answer as a fraction would be 2/3.

-Hope this helps

An equivalent fraction of 8/12 could be 2/3

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

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Answer:

90mm = 9 cm

Step-by-step explanation:

Every centimeter is equivalent to 10 millimeters.

we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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Answer:

240 mL

Step-by-step explanation:

60% of 400 is 240 mL! Your Welcome!

Answer:

the answer would be 240

Step-by-step explanation:

you have to take the percentage and turn it into a decimal by dividing by 100 and that gets you .6 and then you have to time 400 by .6 and then you get your answer

Answer:

41

Step-by-step explanation:

simplify the left side:
\(9x - 9 = 360\\9x = 369\\x = 41\)

Answer:

\(x=41\)

Step-by-step explanation:

1. Simplify the expression

\(x-3+2x-1+3x-2+2x-3+x=360\)

Group like terms:

\(\left(x+2x+3x+2x+x\right)+\left(-3-1-2-3\right)=360\)

Simplify the arithmetic:

\(9x+\left(-3-1-2-3\right)=360\)

Simplify the arithmetic:

\(9x-9=360\)

2. Group all constants on the right side of the equation

\(9x-9=360\)

Add 9 to both sides:

\(9x-9+9=360+9\)

Simplify the arithmetic:

\(9x=360+9\)

Simplify the arithmetic:

\(9x=369\)

3. Isolate the x

\(9x=369\)

Divide both sides by 9:

\(\frac{9x}{9}=\frac{369}{9}\)

Simplify the fraction:

\(x=\frac{369}{9}\)

Find the greatest common factor of the numerator and denominator:

\(x=\frac{41\cdot 9}{1\cdot 9}\)

Factor out and cancel the greatest common factor:

\(x=41\)

Terms and topics

Cheers,

ROR

Answer:

6

Step-by-step explanation:

12x + 3 = 11x + 9 because these two angles are corresponding angles

12x - 11x = 9 - 3

x = 6

Answer:

Im not sure at all but i think that your answer should be x-3 or 98*

Step-by-step explanation:

Im not going to post all my explanation enought i have with investigate the answer >:v

Answer:

0.75 Of a cup

Step-by-step explanation:

Answer:

0.75 cups

Step-by-step explanation:

1 fluid ounce is 0.125 cups (1/8th of a cup)

Hence,

6 fluid ounces = 0.125 x 6 = 0.75 cups

Answer:

16 deliveries

Step-by-step explanation:

238 ≤ 10d + 78

160 ≤ 10d

16 ≤ d

Thus, he needs to make at least 16 deliveries to make at least $238 in one day.  Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.

Answer: D = √2

(please respond if im wrong)

Step-by-step explanation:

The fold is made along BE. A folds onto A′.

A′B = AB =√2 ⇒ A′C = 1

(by Pythagoras)

ΔA′BC

is therefore a right-angled isosceles triangle.

⇒∠BA′C=45∘ ⇒∠EA′D=45∘

⇒ ED = A′D = √2−1

Answer:

hope it helps.

Answer:

1/2 lemon

3 cups of water

450g of sugar

Step-by-step explanation:

i hope this helps :D

y = 700(1.05)^x,

plug in x=2

700(1.05)^2

= 700(1.05 times 1.05)

= 700(1.1025)

= 771.75

Answer:

Step-by-step explanation:

J because you mutlyplay 2.5 by 10'6

Egbert must deposit $19,602.52 as a lump sum in order to have $40,000 in the fund at the end of 10 years.

To calculate the required lump sum deposit, we can use the formula for compound interest:

A = P\((1+r/n)^{nt}\)

Where:

A = the future value (desired amount in the fund) = $40,000

P = the initial principal (lump sum deposit we need to find)

r = the annual interest rate in decimal form = 7% = 0.07

n = the number of compounding periods per year = 4 (quarterly compounding)

t = the number of years = 10

Plugging in these values, the formula becomes:

$40,000 = P\((1+(0.07/4)^{(4*10)}\)

Simplifying further:

$40,000 = P\((1.0175)^{40}\)

Now we can solve for P by dividing both sides of the equation by

P = $40,000 /\((1.0175)^{40}\)

Using a calculator to evaluate the expression, we find:

P ≈ $19,602.52

Therefore, Egbert must deposit approximately $19,602.52 as a lump sum in order to have $40,000 in the fund at the end of 10 years.

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Answer:

Step-by-step explanation:

Given twice the perimeter of rectangle =160

Let width of the rectangle=X

So length of the rectangle =4x

2(perimeter of rectangle)=160

2[2(length+width)]=160

4(4x+x)=160

5x=160/4

5x=40

X=40/8

X=5cm

So length of the rectangle =4x

=20cm

Width of the rectangle =X

=5cm.

Length = 4*5 = 20 cm

Width. = 4 cm.

Answer:

C: All real numbers.

Step-by-step explanation:

Domain means the interval of x=values that the function resides in. Since this quadratic function can go to both positive and negative infinity, there are no limits to the x-values so therefore the domain is all real numbers.

1.  95% confidence that the true mean life time of the light bulb population falls between 978.94 and 1049.06 hours.

2. The minimum sample size required is 25.

3. The minimum sample size required is 44.

4. The sample size n needs to be multiplied by 4.

1. To construct a 95% confidence interval on the mean life time, we can use the formula:

CI = \(\bar x\) ± zα/2 x σ/√n

where:

\(\bar x\) = sample mean = 1014

σ = population standard deviation = 25

n = sample size = 20

zα/2 = the z-score corresponding to a 95% confidence level, which is 1.96

Plugging in the values, we get:

CI = 1014 ± 1.96 x 25/√20 = (978.94, 1049.06)

2. To find the minimum sample size required to obtain a margin of error of 5 hours at the 95% confidence level, we can use the formula:

n = (zα/2 x σ / E)^2

where:

E = margin of error = 5

all other variables are as previously defined

Plugging in the values, we get:

n = (1.96 x 25 / 5)^2 = 24.01

4. To find the minimum sample size required to obtain a total width of 6 hours for the confidence interval at the 95% confidence level, we can use the formula:

n = (zα/2 x σ / W)^2

where:

W = total width of the confidence interval = 6

all other variables are as previously defined

Plugging in the values, we get:

n = (1.96 x 25 / 6)^2 = 43.38

4. If we want to halve the length of the confidence interval from part 3, we need to reduce the total width by a factor of 2. Since the width is proportional to the square root of n, we need to multiply n by a factor of 4 to achieve this reduction:

new n = 4 x 44 = 176.

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The equivalent ratios are 8: 6 and 12:9.    

Two ratios are equivalent if they represent the same proportion or relative size. To find an equivalent ratio, we can multiply both terms of the ratio by the same non-zero number. This doesn't change the condition between the two terms.  

Here we have 4:3

To find equivalent ratios, we can multiply both terms by the same number.

Multiplying by 2

=> 4 × 2 : 3 × 2

=> 8 : 6

Multiplying by 3

=> 4 × 3 : 3 × 3

=> 12: 9

Therefore,

The equivalent ratios are 8: 6 and 12:9.    

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Complete Question

What is the equivalent ratio for 4: 3

Answer:

80 degrees

Step-by-step explanation:

The only given angle here is angle 4, which measures 100 degrees.

1) Identify angle relationships

Angle 4 and angle 6 are interior angles, meaning they have a sum of 180 degrees.

2) Solve for angle 6

180-Angle 4=Angle 6

180-100=Angle 6

80=Angle 6

Therefore, the measure of angle 6 is 80 degrees.

I hope this helps!

Answer:

c. 80°

Step-by-step explanation:

We are given a shape with a bunch of lines, and are asked to find what measure is ∠6.

Solving this is simple, we just need to keep notice that what angle is larger than 90 degrees looks like and what under 90 degrees looks like. All angles that are above 90 look wide and huge, while all under is very tiny and skinny.

If we take a look at our hint, angle 4 has the (100 degrees). Look at how wide it is, if angle 6 is tinier than that, then the answers A. and B. are scratched out.

Now 90 degrees is a right angle, looking at angle 6 guarantees that D. is also not correct because it is not a right angle.

Leaving us with C. 80

p³ + 10 + m

3³ + 10 + 9

27 + 19

46

Answer:

From the given information, the value of a is 3 and the measurement of ∠R is 25°

Step-by-step explanation:

For this problem, we have to find the value of a and the measurement of ∠R. We are given some information already in the problem.

ΔJKL ≅ ΔPQR

This means that all of the angles and all of the sides of each triangle are going to be equal to each other.

So, knowing this, let;s find the measurement of ∠R first.

All triangles have a total measurement of 180°. We are already given two angle measurements. We are given that the m∠P is 90° because the small box in the triangle represents a right angle and right angles equal 90°. We are also given that the m∠Q is 65° because ∠Q is equal to ∠K so they have the same measurement. Now, let's set up our equation.

65 + 90 + m∠R = 180

Add 65 to 90.

155 + m∠R = 180

Subtract 155 from 180.

m∠R = 25°

So, the measurement of ∠R is 25°.

Now let's find the value of a.

KL is equal to PQ so we will set up an equation where they are equal to each other.

7a - 10 = 11

Add 10 to 11.

7a = 21

Divide 7 by 21.

a = 3

So, the value of a is 3.

Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.

Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:

Total economic cost:

Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144

Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131

Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135

Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).

Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.  

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We have been given that at a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 150 calls and a standard deviation of 5 calls. We are asked to find the probability that during a given hour of the day there will be between 146 calls and 163 calls.

First of all, we will use z-score formula to find z-score corresponding to 146 and 163.

\(z=\frac{x-\mu}{\sigma}\)

\(z=\frac{146-150}{5}\)

\(z=\frac{-4}{5}\)

\(z=-0.8\)

\(z=\frac{163-150}{5}\)

\(z=\frac{13}{5}\)

\(z=2.6\)

Our next step is to find percentage of data scores falls between both z-scores.

\(P(-0.8<z<2.6)=P(z<2.6)-P(z<-0.8)\)

Using normal distribution table, we will get:

\(P(-0.8<z<2.6)=0.99534-0.21186\)

\(P(-0.8<z<2.6)=0.78348\)

Let us convert our answer into percentage.

\(0.78348\times 100\%=78.348\%\)

Upon rounding our answer to nearest thousandths, we will get:

\(78.348\%\approx 78.35\%\)

Therefore, the probability that during a given hour of the day there will be between 146 calls and 163 calls is approximately \(78.35\%\).

Answer:

0.624

Step-by-step explanation:

DeltaMath

Answer:

\(2x(x-2y)(x+5)\)

Step-by-step explanation:

Factor out any GCFs before proceeding!

\(2x(x^2+5x-2xy-10y)\)

Split the parenthesis into two.

\(2x((x^2+5x)-(2xy-10y))\)

Factor out GCFS of both again!

\(2x(x(x+5)-2y(x-5))\)

Now that you have two matching equations, you can cancel one out!

\(2x(x-2y)(x+5)\)

Answer:

6

Step-by-step explanation:

So we have a number (let's call it x) and it was multiplied by 8 and added by 2. Therefore:

\(8x+2\)

And we are told that the sum is equal to the product of 2 and 25 (or 50). Thus:

\(8x+2=50\)

To find the number, we just need to find x. Thus, subtract 2 from both sides:

\(8x=48\)

Divide both sides by 8:

\(x=6\)

And we're done!

So, our original number was 6.