Which expression shows the prime factors of 250?
A. 2x5x5
B. 2x 5 x 5 x 5 x 25
C. 2x 5 x 5 x 5
D. 2x 5

26,460 cans of soda

Step-by-step explanation:

First times 9 and 5 together then times 7 with it then times 14 then times 6 and you should end up with 26,460

Step-by-step explanation:

Step 1:  Subtract 87 from both sides

\(2x^2 - 11 - 87 = 87 - 87\)

\(2x^2 - 11 - 87 = 0\)

Step 2:  Factor

\(2x^2 - 11 - 87 = 0\)

\(2(x + 7)(x - 7) = 0\)

\(x + 7 = 0\) and \(x - 7 = 0\)

\(x = -7\) and \(x = 7\)

Answer:  \(x = -7, 7\)

Answer:

x = 7, -7

Step-by-step explanation:

2x² - 11 = 87

2x² = 98

x² = 49

x = +/-7

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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Answer:

18) 7/10 20) 58/100 or 29/50 22) 2/3 24) 8/10 or 4/5 26) 3/10

Step-by-step explanation:

Answer:

18. 7/10 20. 29/50 24. 4/5 26. 3/10

Step-by-step explanation:

Umm im sorry i cant find number 22

Answer:

h≈2.12

Radius =9

volume = 180

Step-by-step explanation:

\(v=\pi r^{2} \frac{h}{3}\)

h=3V  / πr2=3· 180  / π·9^2 ≈ 2.12207

Answer:

x=12

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

For the population to double, it takes around 7.07 hours.

The continuous exponential growth model is given by:

\(N(t) = N0 * e^{rt}\)

Where:

N(t) is the population size at time t

N is the initial population size (at t = 0)

r is the growth rate parameter

t is the time elapsed

We want to find the time t it takes for the population size to double, which means N(t) = 2N. Substituting into the growth model, we get:

\(2N = N * e^{rt}\)

Dividing both sides by N, we get:

\(2 = e^{rt}\)

Taking the natural logarithm of both sides, we get:

ln(2) = rt

Solving for t, we get:

t = ln(2)/r

Substituting r = 0.098 (9.8% as a decimal), we get:

t = ln(2)/0.098

t ≈ 7.07 hours

Therefore, it takes approximately 7.07 hours for the population size to double.

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9514 1404 393

Answer:

  (b) One figure is a rotation image of the other

Step-by-step explanation:

The axis of symmetry is horizontal for the left figure, and vertical for the right figure. The right figure has been rotated 90° CW from the left figure.

Answer:

x = 5

Step-by-step explanation:

2x = 15 - 1x

add 1x to both sides

3x = 15

divide both sides by 3

x = 5

Answer:

X=5

Step-by-step explanation:

Add 1x on both sides so you can get like terms on one side now you have 3x=15 You will now divide by 3 on both sides to get x by itself so you end up with X=5

Answer:

area of a circle= πr²

= 3.14×18×18×

=1017.36 in²

Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

41/2 days is equivalent tο 492 hοurs.

Divisiοn is an arithmetic οperatiοn that invοlves splitting a quantity intο equal parts οr determining hοw many times οne quantity is cοntained within anοther. It is cοmmοnly denοted by the symbοl ÷ οr /, and can be written as a fractiοn οr as a ratiο.

We knοw that there are 24 hοurs in day therefοre,

Tο cοnvert 41/2 days tο hοurs, we can use the fact that there are 24 hοurs in οne day:

41/2 days x 24 hοurs/day = 41 x 12 = 492 hοurs

Therefοre, 41/2 days is equal tο 492 hοurs.

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Answer:

0.6048

Step-by-step explanation:

Given the following :

Assume a normal distribution :

Mean (m) = 105

Standard deviation (sd) = 20

Find the probability that a randomly selected adult has an IQ between 88 and 122 .

Z = (x - m) / sd

For IQ score of 88:

Z = (88 - 105) / 20

Z = (-17) / 20

Z = - 0.85

For IQ score of 122:

Z = (122 - 105) / 20

Z = (17) / 20

Z = 0.85

P(-0.85<Z<0.85) = P(Z < 0.85) - P(Z < - 0.85)

P(-0.85<Z<0.85) = (0.8023 - 0.1977)

P(-0.85<Z<0.85) = 0.6048

The true statements are:

The interquartile range is 10.

The data is skewed.

A box plot is used to study the distribution and level of a set of scores

The end of the first whisker represents the minimum number and the end of the second whisker represents the maximum number.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile. The interquartile range is the difference between the first and third quartile.

Interquartile range = 9 - (-1) = 10

A box plot is negative skewed because the median is not at the center of the box.

An outlier would be within: (Q1 - 1.5 * IQR or Q3 + 1.5 * IQR).

- 1 - (1.5 x 10 ) = -16

9 + (1.5 x 10) = 24

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Answer:

it will be C

its 0.7 less than one

Answer:

3.5

Step-by-step explanation:

Well you have to find first 2/3 of 5.25. This means multiplication, which is 3.5. so to find how much to add to this to get 7, we have to subtract 3.5 from 7. 7-3.5=3.5. so we must add 3.5 to get 7. Hope this helps :D

El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

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Answer:

\(\huge\boxed{j.\frac{a}{-x^2}}\)

\(\huge\boxed{l.1 + \frac{1}{\frac{1}{2}\sqrt{x}}}\)

\(\huge\boxed{n.\frac{a}{\frac{-1}{2}\sqrt{x}}}\)

Step-by-step explanation:

This problem can be solved simply by utilizing the power rule: \(\frac{d}{dx}x^n =nx^{n-1}\).

j. \(x^{-1}(ax+b)\) --> \(-1x^{-2}(a)\) -->\(\frac{a}{-x^2}\)

l. \(x + x^{\frac{1}{2}}\) --> \(1 + \frac{1}{2}x ^ {\frac{-1}{2}}\) --> \(1 + \frac{1}{\sqrt{x}}\)

n. \(x^{\frac{1}{2}}(ax+b)\) --> \(x^{-\frac{3}{2}}(a)\) --> \(\frac{a}{\frac{-1}{2}\sqrt{x}}\)

Hope it helps :) and let me know if you want me to elaborate.

The probability that 2 or fewer in the sample will favor the project is  4.368 × 10⁻⁶ and Also The data seem to indicate that the percent favoring the increase in fees is less than 70%

According to the question,

It is given that according to the student's government

The probability that number of students in favor of increment in fees : p = 0.70

The probability that number of students against the increment : q = 0.30

Sample Size : n = 12

Number of students follows Binomial distribution

(a) We have to find the probability that 2 or fewer in the sample will favor the project

P( x ≤ 2) = P(0) + P(1) + P(2)

As we know ,

P(x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾

=> P( x ≤ 2) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰

=>  P( x ≤ 2) = 1×(0.30)¹² + 12×(0.70)(0.30)¹¹  + 12×11/2 × (0.70)²(0.30)¹⁰

=> P( x ≤ 2) = (0.30)¹⁰ [ 0.09 + 0.21 + 0.48]

=>  P( x ≤ 2) = 5.9×10⁻⁶[0.78]

=>  P( x ≤ 2) = 4.368 × 10⁻⁶

Which is very close to zero

(b) The data doesn't support the student government claim.

The data seem to indicate that the percent favoring the increase in fees is less than 70%.

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The expressions k to t are evaluated correctly

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

The expressions k to t

To determine if the expressions are correct, we evaluate each expression and state if it is correct or not

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

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Answer:

y = -2x

Step-by-step explanation:

The equation is y = mx +b

m = the slope

b = y-intercept

The slope = rise/run

Let's pick 2 points (0,0) (2,-4); we see the y decrease by 4 and the x increase by 2, so our slope is

m = -4/2 = -2

Y-intercept is when x = 0, y-intercept is located at (0,0)

So our equation is

y = -2x

The function that represents how many more texts that were sent this week than last week is: B. (f − g)(x) = 3x + 16.

To find the value of a given functional expression, we have to apply the basic knowledge of how to solve algebraic expressions.

For example, if we are given that (f - g)(x), it means we are to subtract the function g(x) from f(x). That is (f - g)(x) = f(x) - g(x).

Given the following functions:

Number of texts sent this week is represented as the function, f(x) = 8x + 14

Number of texts sent last week is represented as the function, g(x) = 5x - 2.

Number of texts that were sent this week than last week = (f - g)(x)

(f - g)(x) = (8x + 14) - (5x - 2)

(f - g)(x) = 8x + 14 - 5x + 2

(f - g)(x) = 3x + 16

Therefore, the answer is: (f − g)(x) = 3x + 16.

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Therefore, the answer is: (f − g)(x) = 3x + 16.

Answer:

it's your second answer: )

Answer:

the one on the right

Step-by-step explanation:

:) s s

The room, the tables and the guests are illustrations of rectangles and areas.

This is calculated using:

Tables = Guest ÷ Guest per top table

So, we have:

Tables = 120 ÷ 12

Evaluate

Tables = 10

Hence, 10 tables are required for the top table

This is calculated using:

Covers = Number of spring ÷ Cover space

So, we have:

Covers = 3 ÷ 0.6

Evaluate

Covers = 5

Hence, 5 covers are required for each spring

This is calculated using:

Tables = Tables for top table ÷ Spring

So, we have:

Tables = 10 ÷ 3

Evaluate

Tables = 3.33

Remove decimal

Tables = 3

Hence, 3 tables are required for each spring

This is done to allow passage for walkway

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1.242. I'm not sure but that's what I got

9514 1404 393

Answer:

  D and E are each 62 cm

Step-by-step explanation:

Apparently, you want the total width of the bookcases to match the width of the wall.

  132 +92 +108 +w +w = 456

  332 +2w = 456

  2w = 124 . . . . . . . subtract 332

  w = 62 . . . . . . . . . divide by 2

The width of bookcases D and E is 62 cm.

Answer:

A C D

Step-by-step explanation:

Answer:

Step-by-step explanation:

it's A,C,D

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145