-8x – 17 = -4(2x – 1) – 21

Answer:

Surface Area = 471.2 cm^2

Surface Area = 60.75 m^2

Step-by-step explanation:

The surface area formula for a cylinder is π x diameter x (diameter / 2 + height), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius x 2 x (radius + height). ( π =3.14 )

FORMULA:

π x 5 x 2 x 15

WORK:

π x 5 = 15.7

15.7 x 2 = 31.4

31.4 x 15 = 471

The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width1 + length x width2 + length x base.

FORMULA:

2 x (2.5 x 1.5/2) + (6 x 4) + (6 x 4) + (6 x 1.5)

WORK:

(2.5 x 1.5) = 3.75/2 = 1.875

1.875 x 2 = 3.75

(6 x 4) = 24

(6 x 4) = 24

(6 x 1.5) = 9

3.75 + 24 + 24 + 9 = 60.75

I've already done the first one for you, but here's the second one: (its in the attached sheet)

Answer:

[tex]\$7,770.81[/tex]  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

[tex]V=P(1-r)^{x}[/tex]  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

[tex]P=\$8,599\\r=2.5\%=0.025\\x=4\ years[/tex]

substitute

[tex]V=\$8,599(1-0.025)^{4}=\$7,770.81[/tex]  

Final answer:

After 4 years, Mariah's car will depreciate to approximately $7,761.66, following a 2.5% annual depreciation rate.

Explanation:

To calculate the depreciated value of a car, we can use the formula for exponential decay, which is:

V = P[tex](1 - r)^t[/tex]

where V is the final value of the car after time t, P is the initial purchase price of the car, r is the rate of depreciation per year, and t is the number of years.

For Mariah's car, the initial purchase price (P) is $8,599, the rate of depreciation (r) is 2.5%, or 0.025 when expressed as a decimal, and the time period in question (t) is 4 years.

Now we can perform the calculation:

V = $8,599[tex](1 - 0.025)^4[/tex]
V = $8,599[tex](0.975)^4[/tex]
V = $8,599(0.9025)
V ≈ $7,761.66

So, after 4 years, the value of the car will approximately be $7,761.66, when rounded to the nearest hundredth.

Answer:

The answer is ASA!

Step-by-step explanation:

Answer:

asa

Step-by-step explanation:

Answer:

If not, stop and use Steps for Solving an Exponential Equation with Different Bases. Step 2: Rewrite the problem using the same base. Step 3: Use the properties of exponents to simplify the problem. Step 4: Once the bases are the same, drop the bases and set the exponents equal to each other.

Answer:

The slope is 3/2

Step-by-step explanation:

Slope is calculated by rise over run so there are three points for you. You start from a point that hits the line then you go up 3 units and across 2 units and you hit the next point. That means the slope is 3/2

Hope this helps and I tried my best on explaining it's hard without being able to show it to you!

Answer:

The slope of given line = 2/3

Step-by-step explanation:

Let (x₁, y₁) and (x₂, y₂) be the two points on a line, the slope of the line is given by,

Slope = (y₂ - y₁)/(x₂ - x₁)

Form the figure we get some coordinates points

(2, 3),  (4,6) , (6, 9)

To find the slope of  line

Consider two points

(x₁, y₁)  = (2, 3) and  (x₂, y₂) = (4, 6)

Slope = (y₂ - y₁)/(x₂ - x₁) = (4 - 2)/(6 - 3) = 2/3

Therefore the slope of given line = 2/3

Answer:

It really depends on what type of equation you are solving.

However, if you're working with an equation that contains variables, it's advised that you should get rid of the variables first before the whole numbers/integers.

Step-by-step explanation:

Answer with explanation:

[tex]Q={\text{Median}}=90\\\\Q_{1}=78\\\\Q_{3}=102[/tex]

There are 100 students in the group.

If we divide 100 students into groups

→First quartile =25.5

means, first quartile of students has median value ≤ 78.

→Median =50.5

Most of the students sends ,90 messages a day.

→Third Quartile=75.5

Students lying above the third Quartile ,sends ≥102 messages per day.

First Quartile means, approximately 0- 25 students in the group , sends 78 messages.

[tex]Q_{1}\leq 78[/tex]

Third Quartile means, 75-100 , students in the group, sends 102 messages .

[tex]Q_{3}\geq 102[/tex]

Approximately 25 students in the sample send

1. more than 102 text messages.

2.less than 78 text messages.

Answers are on attached sheet! :)

Answer:

1/25

Step-by-step explanation:

Total number of DVD's in the box = 20

Number of defective DVD's = 4

The probability of picking up a defective DVD = [tex]\frac{4}{20}=\frac{1}{5}[/tex]

This DVD is being replaced back. So this does not change the total number of DVD's in the box and the number of defective DVD's in the box.

So again the probability of picking up the second defective DVD = [tex]\frac{4}{20}=\frac{1}{5}[/tex]

The probability that both DVD's are defective will be the product of probabilities of individual events i.e.

[tex]\frac{1}{5} \times \frac{1}{5}  = \frac{1}{25}[/tex]

Thus, the probability that both DVDs are defective is 1/25

The probability of selecting two defective DVDs from a box containing 20 DVDs with 4 defective ones, with replacement, is 1/25.

To find the probability that both DVDs are defective, we need to consider the probability of selecting a defective DVD on each trial.

Since the DVDs are selected with replacement, the probability remains constant.

There are 20 DVDs in total, with 4 of them being defective.

So the probability of selecting a defective DVD on the first trial is 4/20 = 1/5.

Similarly, the probability of selecting a defective DVD on the second trial is also 1/5.

To find the probability that both DVDs are defective, we multiply these probabilities together:

Probability = (1/5) * (1/5) = 1/25

the volume is 904.78

formula for sphere

[tex] \frac{4}{3} \pi{r}^{2} [/tex]

Explaining the volume of a sphere with a radius of 6 feet using the formula V = (4/3)πr³.

The volume of a sphere with a radius of 6 feet can be calculated using the formula:

V = (4/3)πr³

Given r = 6 feet, substituting the value, we get:

V = (4/3)π(6)³ = (4/3)π(216) = 288π cubic feet

Final answer:

The interest rate charged by the credit card company for a $90 purchase with an $18 interest charge is calculated to be 20%.

Explanation:

To calculate the interest rate charged by the credit card company on a $90 purchase with an $18 interest charge, we need to use the formula for interest rate:

Interest Rate = (Interest / Principal) × 100

Applying the given values:

Interest Rate = ($18 / $90) × 100

Interest Rate = 0.2 × 100

Interest Rate = 20%

The interest rate the credit card company charged on the purchase is 20%.

Answer:

theyre both the same rate.

Step-by-step explanation:

12months at 1% turns into 12% a year

58×13=696!!!!!!!!!!!!!!!!!!!!

Answer:

[tex]58\times 12=696[/tex]

Step-by-step explanation:

We have to multiply 58 and 12.

This could be done by distributive property of multiplication over addition which is:

[tex]a\times b\\=a\times (c+d)\\=(a\times c) + (a\times d)[/tex]

Evaluation of [tex]58\times 12[/tex]

[tex]58\times 12\\=58\times (10 + 2)\\=(58\times 10) + (58\times 2)\\=580 + 116\\=696[/tex]

Distributive property makes us easy to calculate complicated product by dividing the number into smaller parts.

Answer:

2a + 3 Remainder 6

Step-by-step explanation:

Find the attachment bellow for a step by step explanation.

Answer:

2a + 3

Step-by-step explanation:

We are given the following two terms and we are to divide them:

[tex] \frac { 2 a ^ 2 + a + 3 } { a - 1 } [/tex]

We will start by divide the highest order term in the dividend  [tex]2a^2[/tex] by the highest order term in divisor  [tex]a[/tex]:

[tex]\frac{2a^2 + a + 3}{a-1}=2a[/tex]

Then we multiply the new quotient term by the divisor where [tex]-2a^2+2a[/tex] is subtracted by [tex]2a^2+a[/tex].

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend to get:

[tex]2a+3[/tex] as the quotient and [tex]6[/tex] as the remainder.

When a square with 15 cm sides is enlarged by a ratio of 3:4, the resulting square has a side length of 20 cm, and consequently, an area of 400 cm².

If a square with sides of 15 cm is enlarged in a ratio of 3:4, we first need to determine the new length for the sides of the resulting square. To do this, we take the original side length (15 cm) and multiply it by the scale ratio.

The scale ratio is 3:4 which means for every 3 units of the original, the new square will have 4 units. Therefore, we calculate the new side length as follows:

Now, to find the area of the resulting square, we square the new side length:

Area = side × side = 20 cm × 20 cm = 400 cm²

So, the area of the resulting square is 400 cm².

Answer:

38

Step-by-step explanation:

Step-by-step explanation:

Set up an equation. 80 percent equals 0.8

0.8x=48

since 80 percent of x, the amount of questions on the exam equals to 48 questions correct.

Divide both sides by 0.8 to get 60

it is 4 1/2 inches long

The right end of the board lines up with the mark halfway between 4 and 5, which means the mark is at 4.5 inches.

Since the board ends at the mark, the length of the board is 4.5 inches.

The length of the board in the image is 4.5 inches.

We can determine this by looking at the scale on the ruler in the image. The scale is marked in inches, and the right end of the board lines up with the mark halfway between 4 and 5.

This means that the mark is at 4.5 inches, and since the board ends at the mark, the length of the board is 4.5 inches.

Another way to think about this is to imagine that you are measuring the board with a ruler.

If you place the ruler at the left end of the board and line up the zero mark with the left end of the board, then the right end of the board will be at the 4.5-inch mark on the ruler.

Here is a more creative way to answer your question:

The board in the image is 4.5 inches long, or as long as a half-dollar coin laid on its side.

Imagine that you have a half-dollar coin. If you place the coin on its side next to the board, you will see that the coin is exactly the same length as the board. This is a fun and easy way to remember the length of the board without having to use a ruler.  

For similar question on board lines.

https://brainly.com/question/499332

#SPJ3

B is correct. 7*-1= -7. -2*1=-2 -7+2= -5

Answer:

The correct answer is D because both ordered pair when substituted to the equation, both sides of the equation didn't equal to each other.

Explanation:

All you do is substitute. (x,y)

A:

Substitute

7(1) - 2(5) = -5

Multiply the number inside the parentheses by the number outside.

7 - 10 = -5

Subtract the numbers.

-3 = -5

This is not the solution to the equation because the numbers on both sides don't equal to each other.

B:

Substitute

7(-1) - 2(1) = -5

Multiply the number inside the parentheses by the number outside.

-7 - 2 = -5

Subtract the numbers.

-9 = -5

This also not the solution to the equation because the numbers on both sides don't equal to each other.

C:

They both are not the solution to the equation because the numbers on both sides don't equal.

➷ It would be 5

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

The correct function for this table is A Linear

Enjoy Brainly,

Homepage10

Step-by-step explanation:

Answer: D

Step-by-step explanation: Based on the chart, we can tell that both the median (The line inside the box) and the interquartile range (the box itself) is bigger on Friday than it is on Saturday.

Answer:

Option 3. (23, 14)

Step-by-step explanation:

In this figure, solution of the system of equations is the point of intersection of the equations representing two lines.

Or common points lying on both the lines will be the solutions of the system of equations.

In the given graph approximate value of x - coordinates = 23

and approximate value of y - coordinates = 14

Therefore, solution of the system is (23, 14).

3rd option (23, 14) is the answer.

Answer:

Option 3. (23, 14)

Step-by-step explanation:

Answer:

the formula for surface area of a triangle is s=1/2ph=b

Step-by-step explanation:

p = perimeter of pyramid

h = height of each triangular face

BIG B = Area of base of pyramid

Solve!

i hope this helped im only in the 8th grade, so i am just learning this

Answer:

[tex]+6x^2[/tex] and [tex]-10y^2[/tex]

Step-by-step explanation:

Let's go one term at a time from the right side and match it with the left side.

Clearly Option B is right.

Answer:

The correct answer option is [tex]+6x^2[/tex] and [tex]-10y^2[/tex].

Step-by-step explanation:

We are given the following incomplete expression:

[tex] 3 x^2 + 5 y^2 [/tex] __ [tex] + 3 [/tex] __ [tex] + 4 y^2 + 6 [/tex]

and then there is its simplified expression as shown below:

[tex] 9 x^2 - y^2 + 9 [/tex]

We are to determine whether which terms could be in the boxes to make the expressions equivalent.

[tex]+6x^2[/tex] and [tex]-10y^2[/tex] are the two terms which justify the given expression:

[tex] 3 x^2 + 5 y^2 +6x^2 + 3 -10y^2 + 4 y^2 + 6 = 9 x^2 - y^2 + 9[/tex]

Answer:

D is your answer

Step-by-step explanation:

What you do to figure this out is you take the 3^15 and make it to where there is 15 3's.

3, 3, 3, 3, 3, 3, 3, 3, 3 ,3, 3, 3 ,3, 3, 3.

You will then put them in groups of 2 to get them out of the Square root.

3,3    3,3    3,3    3,3    3,3    3,3    3,3    3.

There are 7 groups where the 3 can come out of the Square root.

So your answer is 3^7sqrt3. D is your answer.

Answer:

d. 3⁷√3

Step-by-step explanation:

√(3¹⁵) can be written as √(3¹⁴ₓ 3)

=√(3¹⁴)ₓ√3

To find the the square root of the number in index form, we divide the index by 2.

√(3¹⁴)=3⁷

let √3 remain in surd form, then we shall have the solution as 3⁷×√3

=3⁷√3

Answer: x  /  y

              0  /  4

              4  /  0

            -10  /  6

Step-by-step explanation:

Answer:

x          y

0          4

20       0

-10       6

Step-by-step explanation:

x + 5y = 20

5y = -x + 20

 y = -1/5 x + 4

so

when x = 0,

y = -1/5 (0) + 4

y = 4

when y = 0 then

0 = -1/5 x + 4

-4 = -1/5 x

x = (-4) (-5)

x = 20

when y = 6 then

6 = -1/5 x + 4

2 = -1/5 x

x = 2 * (-5)

x = -10

Answer:

286

Step-by-step explanation:

Since we are looking for the number of combination, we use the formula:

[tex]_{n}C_{r}=\dfrac{n!}{(n-r)!r!}[/tex]

n = 13

r = 3

[tex]_{13}C_{3}=\dfrac{13!}{(13-3)!3!}[/tex]

[tex]_{13}C_{3}=\dfrac{13!}{10!3!}[/tex]

[tex]_{13}C_{3}=286[/tex]

So there are 286 possible combinations of 13 toppings at 3 toppings on a large sundae.

Answer:

there are 6 possible outcomes with a 1/6 chance of a red shirt with white jeans

Step-by-step explanation:

I'm listing them in shirt the jeans and the letter corresponds to the color of them

r w

r b

b w

b b

g w

g b

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

since there are two colors of jeans that is a .5 ( or 1/2) chance of grabbing it and three different shirts which is a .33 (or 1/3)

1/3 x 1/2 = 1/6

hope this helps for the third time lol

Answer:   c) 28

Step-by-step explanation:

x² - 7x + 10   ; x = -2

replace x with -2:

(-2)² - 7(-2) + 10

= 4 -  -14 + 10

= 4 + 14 + 10

=    18    + 10

=        28