5 - 3(7n + 8) =??????????

Answer:

x = -6\(\frac{4}{5} \)

Step-by-step explanation:

Hope it helps and have a great day!

The height of the square pyramid with base area 225 cm² and volume 300cm³ is equal to 4 centimeters.

Area of the base of square pyramid = 225 centimeters squared

Volume of the square pyramid = 300 centimeters cubed

Using the formula for the volume of a square pyramid,

V = (1/3) × B × h

where V is the volume,

B is the area of the base,

and h is the height of the pyramid.

Substitute this value into the formula we have,

⇒ 300 = (1/3) × 225 × h

Simplifying the equation , we get,

⇒ 900 = 225 × h

Dividing both sides by 225, we get,

⇒ h = 4

Therefore, the height of the square pyramid is 4 centimeters.

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Answer:

x=-5. -5x+10 replace the x with -5, multiply, add ten, and you'll get f(x)= 35

Answer:

-5

Step-by-step explanation:

f(x) =35

f(x) = -5x +10

equate the two equations:

-5x +10 =35

-5x =35-10

-5x =25

x = 25/-5

x = -5

Answer: The median for the students is 2 and the median for the teachers is 3.

Step-by-step explanation:

Ordering the data for the students from the dot points:

0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4.

n = 20 which is positive so median position is average of:

= (n / 2)                                     and                                = (n + 1) / 2

= 20 / 2                                                                           = 21 / 2

= 10                                                                                 = 10.5

2 is in position 10                                                         2 is in position 10.5

Average = (2 + 2) / 2 = 2

Student median is 2.

Teachers

0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8

3 is in position 10 as well as in position 10.5.

= (3 + 3) / 2

= 3

Teacher median is 3.

(In attachment, teacher plot is first and then the student follows)

Answer:

Students Median= 2

Teacher Median=3

Step-by-step explanation:

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈15.6

Define compound interest?

Given that :

P = $ 6,400

Q = $ 14,000

r = 5%

Let P be the initial investment

r be the rate of interest

t be the time

Q be the increase amount

Q = P \(e^{rt} }\)

14,000 = 6,400 (\(e^{0.05t}\))

\(e^{0.05t}\) = \(\frac{14000}{6400}\)

\(e^{0.05t}\)  = 2.187

Taking log on both sides , we get

0.05t = ln (2.187)

0.05t = 0.78

       t = \(\frac{0.78}{0.05}\)

       t ≈ 15.6

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈ 15.6

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Answer: The simple interest rate is 3%.

Step 1: Calculate the principal (P)

P = $750

Step 2: Calculate the interest (I)

I = $228.00

Step 3: Calculate the time (t)

t = 7.6 years

Step 4: Calculate the simple interest rate (r)

r = I / Pt

r = $228.00 / ($750 x 7.6)

r = 0.03 or 3%

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Given

-4/3 Divide 5/9

Procedure

-4/3 ÷ 5/9

=-12/5

The answer is -12/5

The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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The total of the even and odd positions digits yields 82, which does not terminate with 0 and is therefore not a UPC number.

A UPC is examined in the manner described below: Add up the values in the first, third, fifth, seventh, ninth, and eleventh positions. The average of the digits mostly in places of 2, 4, 6, 8, 10, and 12 should be added to this. The code will be recognised by the computer as valid if the outcome is a multi of 10. Every version of your offering will often require its own UPC. Each distinct colour or pattern of your product, if it has either, will require a UPC. Each size of your product will require a UPC if it comes in various sizes. The same is true for various packing and setups.

given

0-52200-48826-5

= 3( 0+ 2+0+4+8+6)+ ( 5+2+0+8+2+5)

= 3(20)+ 22 = 60+22

= 82

hence it is not UPC number as it ends by 2

The total of the even and odd positions digits yields 82, which does not terminate with 0 and is therefore not a UPC number.

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Answer:

The Associative Properties of Addition

Step-by-step explanation:

The associative property of addition tells us that numbers' order can be switched around without altering the final result.

Answer:

It's commutative property

Answer:

1000 square feet.

Step-by-step explanation:

to find the area, you multiply the length by the width

40*25=1000

Answer:

inches

Step-by-step explanation:

well depends on how big your foot is

Answer:

  B.  x = 1, y = 0, z = 3

Step-by-step explanation:

Systems of linear equations are readily solved by a suitable calculator or spreadsheet. The attached calculator display shows the solution to be ...

  x = 1, y = 0, z = 3

__

There are several ways a calculator can solve these equations. The method shown here is to input the equations as an augmented matrix of their coefficients, and reduce it to row-echelon form. The right-most column of the reduced matrix is the set of variable values in the same order as the coefficients.

A graphing calculator can also be used to graph the equations. You may have to write one variable in terms of the others. (Here, it is convenient to let z=3-y.) The second attachment shows the solution (x, y) = (1, 0). This is sufficient to choose the correct answer. Or, you can finish the solution by substituting into the expression for z: z = 3 -y = 3 -0 = 3.

Many calculators will solve the system of equations after you enter it as presented in the problem statement.

Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

10,24

Step-by-step explanation:

1+4+(root5)+3

Answer:

What do you mean?

Step-by-step explanation:

Answer:

the slope is -2.

Step-by-step explanation:

Basically, first you take rise, which is how much y1 (20) goes up to reach y2 (40), so 20. Then you take x1, 10 and subtract it from 0, giving -10. Then you do 20 divided by -10, giving -2.

Answer:

the answer is C. This is voluntary response bias because residents could choose to call and register their opinion.

Step-by-step explanation:

just got 100 on the quiz

Answer:

It is 60%

Step-by-step explanation:

84.50 x 0.60% = 50.7 (also 50.70)

I hope my answer helps even though I am in middle school :)

The required percent decrease in the price of the skateboard is 40%.

The original price for its Extreme Skate Board was $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Original price = $84.50
sale price = $50.70
Percent decrese = 84.50-50.70/84.50 × 100 = 40%

Thus, the required percent decrease in the price of the skateboard is 40%.

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Answer:

1/2

Step-by-step explanation:

35+50+15 = 100

probability of the dance song = 50/100 = 1/2

Answer:50%

Step-by-step explanation:

35+15+50=100

50 divided by 100 is 0.5 or you can do it as a fraction and get 50/100

Answer:

all of them

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

0.0885 = 8.85% probability that the sample mean will exceed 2,500.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

In this question:

\(\mu = 2400, \sigma = 210, n = 8, s = \frac{210}{\sqrt{8}} = 74.25\)

Calculate the probability that the sample mean will exceed 2,500.

This is 1 subtracted by the pvalue of Z when X = 2500. So

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

By the Central Limit Theorem:

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

\(Z = \frac{2500 - 2400}{74.25}\)

\(Z = 1.35\)

\(Z = 1.35\) has a pvalue of 0.9115

1 - 0.9115 = 0.0885

0.0885 = 8.85% probability that the sample mean will exceed 2,500.

The dimension of V when the derivative is 0 is 1 since the l polynomial reduces to a 1-dimensional space.

The dimension of a linear space in which all polynomials with degrees less than 2 is 0 is 1. To estimate the dimension, we must take into account the basic elements of the space.

Let V be the collection of polynomials with a degree less than 2. Then the basic elements of V are 1, x

Let f(x)be a polynomial in V. Then f(x) can be written as f(x)= a0 + a1 x for some constants  

We know that the derivative of f(x) is f'(x) =\(a_1$$\)

Therefore, when the derivative f'(x) is 0, it means that a1 = 0. In this case, the polynomial f(x) reduces to f(x) = a0, which is a constant.

So, the dimension of V when the derivative is 0 is 1, since the l polynomial reduces to a 1-dimensional space.

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Answer:

40

Step-by-step explanation:

4 is in "Ten's place".

So, the number is multiplied with 10.

=> 4 x 10

=> 40

The value of 4 in 45 = 40

Answer:

Step-by-step explanation:

We will design a truth table to determine the validity of the provided arguments.

As a result, we have the following presumption:

Now;

p            q             ™q             p Vs q              ™q →p

T            T              F                 T                         T

T            F              T                 T                         T

F            T              F                 T                         T

F            F              T                 F                         F

Conclusion:

The given arguments are valid.