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What is the surface area of the rectangular prism?




138 cm²

200 cm²

276 cm²

280 cm²

Answer:

63

Step-by-step explanation:

Answer:

117°

Step-by-step explanation: We know that the angles of a triangle have to equal 180°. We already know one angle (75°) and we can find the others. Vertical angles are congruents so the angle opposite 42° is also 42° So add 42 and 75 and you get 117. Keep in mind that all the angles have to equal 180 so 180-117 will get you the last angle measure. 180-117= 63. BUT that's not the answer because that is not x and it asks for x. So we know that a straight line also equals 180 that angle that we found that was 63 plus x should get us 180. To find that we do 180-63 and find that x=117° Hope this made sense!

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer:

210

Step-by-step explanation:

If each floor was 14 ft, and they want 15 floors, you would do 14 x 15, which equals 210

Answer:

x = 0.4

Step-by-step explanation:

Answer:

x=0.4

Step-by-step explanation:

Given function:

Combine first value by 0.81:

Subtract 0.81 both from sides:

Simplifly -19x/2:

Multiply all terms by similar term:

Divide both terms by -7.6:

Therefore, x=0.4.

Answer:

50%

Step-by-step explanation:

0.5*100 = 50

hope it helps :)

mark brainliest!!

It can be seen that x = (3 ± √(9 + 32√3)) / 8, which can be expressed in surd form as (3 + √(9 + 32√3)) / 8 or (3 - √(9 + 32√3)) / 8.

To find x using the sine rule, we need to solve the equation:

sine(45) / x = sine(30) / (2x + 2√3)

Simplifying this equation, we have:

(2x - 1) / x = 1 / (2x + 2√3)

Cross-multiplying and simplifying further, we get:

(2x - 1)(2x + 2√3) = x

Expanding the brackets, we have:

\(4x^2 + 4\sqrt3x - 2x - 2\sqrt3 = x\)

Rearranging the terms and simplifying, we get:

\(4x^2 - 3x - 2\sqrt3 = 0\)

Using the quadratic formula, we can solve for x:

x = (-(-3) ± √((-3)^2 - 4(4)(-2√3))) / (2(4))

x = (3 ± √(9 + 32√3)) / 8

Therefore, x = (3 ± √(9 + 32√3)) / 8, which can be expressed in surd form as (3 + √(9 + 32√3)) / 8 or (3 - √(9 + 32√3)) / 8.

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The function represented by the table is given by the rate of change of

the x and y-values which are constant indicating a  linear function.

Response:

The statement that could be used to justify that the table represents a linear function is as following;

The table of of a linear function is one in which the first difference in

the y-values is constant given that the difference in the x-values are also

constant.

From the table, the first difference between each y-value and the

previous y-value is found as follows;

20 - 35 = -15

5 - 20 = -15

-10 - 5 = -15

While the difference between the corresponding x-values = 1 as follows;

0 - (-1) = 1

1 - 0 = 1

2 - 1 = 1

Therefore;

The (rate of) change in the x and y -values in the table are constant, and

the function is a linear function.

The correct statement is therefore;

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Answer:

A.)  \(\frac{500}{3} \pi units^3\)

Step-by-step explanation:

To find the volume of the sphere, you need to use the following equation:

\(V= \frac{4}{3} \pi r^3\)

In this equation, "V" represents the volume (units³) and "r" represents the radius (units). Since you have been given the value of the radius (r = 5 units), you can use it to solve the equation.

\(V= \frac{4}{3} \pi r^3\)                              <----- Volume equation

\(V= \frac{4}{3} \pi (5)^3\)                           <----- Plug 5 into "r"

\(V= \frac{4}{3} \pi (125)\)                         <----- Solve 5³

\(V= \frac{500}{3} \pi\)                              <----- Multiply \(\frac{4}{3}\) and 125

Answer:

\(\sf A. \quad \dfrac{500}{3} \pi \:\:units^2\)

Step-by-step explanation:

Volume of a sphere

\(\sf V=\dfrac{4}{3} \pi r^3\)

(where r is the radius)

From inspection of the given diagram:

Substitute the value of r into the equation and solve for V:

\(\begin{aligned}\sf V & = \sf \dfrac{4}{3} \pi r^3\\\\\implies \sf V & = \sf \dfrac{4}{3} \pi (5)^3\\\\& = \sf \dfrac{4}{3} \pi (125)\\\\ & = \sf \dfrac{4 \cdot 125}{3} \pi\\\\& = \sf \dfrac{500}{3} \pi \:\:units^2\end{aligned}\)

Answer:

$3385 per week

Step-by-step explanation:

so, he gets $370 plus 4.5% of what he is selling.

$67000 = 100% of selling

1% = 100%/100 = 67000/100 = $670

4.5% = 1% × 4.5 = 670 × 4.5 = $3015

so, he gets $370 + $3015 = $3385 per week

Answer:

Step-by-step explanation:

Cost of 5 packet = $ 2m

Cost of 1 packet = \(\frac{2m}{5}\)

Cost of 3 packets = \(\frac{2m}{5}*3=\frac{6m}{5}\)

Change receive by her = \(10 -\frac{6m}{5}\\\\\)

                                      \(=\frac{10*5}{1*5}-\frac{6m}{5}\\\\=\frac{50}{5}-\frac{6m}{5}\\\\=\frac{50-6m}{5}\)

Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:

A. (f + g)(x) = \(8^{3x} + 8^{4x}\)

B. (f × g)(x) = \(8^{7x}\)

C. (f - g)(x) = \(8^{3x} - 8^{4x}\)

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:

(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)

(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)

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Answer:

y>3

Step-by-step explanation:

All values on the y axis will be greater than 3

Hope this helps :D

Answer:

30a²+11a−28

Step-by-step explanation:

(6a+7)(5a−4)

=(6a+7)(5a+−4)

=(6a)(5a) + (6a)(−4) + (7)(5a) + (7)(−4)

=30a² − 24a + 35a − 28

=30a² + 11a − 28

Hope I helped! (p.s. maybe brainliest answer)

Answer:

1  7/8

Step-by-step explanation:

1/2 + 1/3 + 1/6 + 1/2 + 1/8 + 1/4

convert to the common denominator, which is 24

12/24 + 8/24 + 4/24 + 12/24 + 3/24 + 6/24

simplify

1  21/24

reduce (divide the numerator and the denominator by 3)

1  7/8

There 211 number of coffee creamers left at the end of the week.

What is number ?

The arithmetic value of a number is one that is used to denote amount. As a result, a number is a mathematical concept used for counting, measuring, and labeling. As a result, mathematics is based on numbers.

An arithmetic value known as a number is used to represent a quantity and do calculations. Numbers are represented by written symbols, such as "3," which are referred to as numerals. A number system is a method of writing that uses logically ordered digits or symbols to represent numbers.

Numerology comes in a variety of forms. Organic Numbers entire numbers Integers Realistic Numbers Unreasonable Numbers True numbers complicated numbers Organic numbers numbers beginning with "1".

x will be equal to

x = 275 - 64

  = 211

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Answer:

10ft

Step-by-step explanation:

Answer:

6.324

Step-by-step explanation:

a2+b2=c2

32+b2=72

9+b2=49

   -9=  -9

\(\sqrt{40}\)=6.324

Using the multiples of 5 and 6, it is found that she will be 25 years old next year.

They are given as follows, considering numbers less than 40:

This year, her age is a multiple of 6. Next year, her age will be a multiple of 5, hence, her age next year is a multiple of 5, whose predecessor is a multiple of 6, hence the only option is that she will be 25 years old next year.

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The interest earned on the principal amount at the end of 10 years is 1662 (rounded to the nearest dollar).

Given that the principal amount invested is 2000 and the annual rate of interest is 6.5%, compounded quarterly.

We need to find the amount of interest earned on the principal amount at the end of 10 years.

Using the compound interest formula, the future value of the principal amount after 10 years is:

\(FV = P(1 + r/n)^(nt)\)

where

P = 2000,

r = 6.5% = 0.065,

n = 4 (quarterly compounding), and

t = 10 years

So, the future value of the principal amount after 10 years is:

\(FV = 2000(1 + 0.065/4)^(4×10)= 3662.14\)

The interest earned on the principal amount is the difference between the future value and the principal amount, which is:

3662.14 - 2000= 1662.14

Therefore, the interest earned on the principal amount at the end of 10 years is 1662.

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Answer:

Below

Step-by-step explanation:

Median = 500    S.D. = 100

A)  Look at + z-score table for  .85

        z-score =  +1.04

          you have to be 1.04 S.D. 's to be at 85 th percentile

                  500   + 1.04 * 100 = 604

B)   500 is in the middle (50%)  you need to go UP 40 % and down 40%

             so look for + z score = .900   and     - z-score = .100

                       z score :           =   1.28                             =  - 1.28

                    500 + 1.28 * 100 = 628                 500 - 1.28 * 100 = 372

     so the range of scores would be   372  -  628

Answer:

15p + -6

Step-by-step explanation:

9514 1404 393

Answer:

  6

Step-by-step explanation:

The sum of the roots (y-intercepts) of the polynomial is the opposite of the ratio of the linear term coefficient and the leading coefficient.

  b + c = -(-6/2) = 3

The x-intercept is the constant: a = 3

Then the sum a+b+c is ...

  a + (b +c) = 3 + 3 = 6

_____

Additional comment

The factored form of the polynomial for the given intercepts will be ...

  x = 2(y -b)(y -c)

and the expanded form of that is ...

  x = 2y^2 -2(b+c)y +2bc

The y-coefficient is ...

  -2(b+c) = -6

  b +c = 3 . . . . . . . divide by -2. This is the result used above.

We show the graph so you can add up the values of the intercepts to see that the sum is 6.

For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.

f(x) = 7/8x² - 14

Substitute f(x) with 0 -

0 = 7/8x² - 14

Add 14 to both sides -

7/8x² = 14

Multiply both sides by 8/7 -

x² = 16

Take the square root of both sides -

x = ±4

Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.

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Answer:

12 miles per hour more

Step-by-step explanation:

Answer:

Kendra drives 8 hours more on average.

Step-by-step explanation:

We divide 144/3 to get Kayla's mile to hour.

That is 48 miles.

We divide 224/4 to get Kendra's mile to hour.

That is 56 miles.

56 - 48 = 8.

hope this helped!

15,077,500  

Area= W * H

In this case area would be 1850 * 8150 which equals 15,077,500

Step 1

From the image;

Hence;

The triangles also share similar angles therefore the answer will be;

Answer:

£39.20

Step-by-step explanation:

→ Identify which ratio goes to each person

2 : 1 : 5

2 = Paul

1 = Colin

5 = Brian

→ Divide the total tip by the total sum of the ratio's

£78.40 ÷ ( 2 + 1 + 5 ) ⇔ £78.40 ÷ 8 = £9.80

→ Now we know one part is equal to £9.80 we multiply this number by each of the associated ratio's

Paul = £9.80 × 2 ⇔ £19.60

Colin = £9.80 × 1 ⇔ £9.80

Brian = £9.80 × 5 ⇔ £49

→ Minus Brian's tip against Colin's tip

£49 - £9.80 = £39.20

The equation for the graph above is y = 5sin(2x/3).

In Mathematics and Geometry, a sine wave is sometimes referred to as a sinusoidal wave, or sinusoid and it can be defined as a fundamental waveform that is typically used for the representation of periodic oscillations, in which the amplitude of displacement at each interval is directly proportional to the sine of the displacement's phase angle.

Mathematically, a sine wave can be represented or modelled by this mathematical equation:

y = asin(bx)

Where:

Based on the graph of this sine wave, we have:

Amplitude, a = 5.

Periodicity, b = 2π/period = 2π/(3π) = 2/3

Therefore, the required sine wave function is given by;

y = asin(bx)

y = 5sin(2x/3)

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