Substitute 4 for x and evaluate the expression below. 7x – 3 A. 16 B. 8 C. 7 D. 25

Answer:

x = 1

Step-by-step explanation:

2401 = 7⁶⁻²ˣ

7⁴ = 7⁶⁻²ˣ

4 = 6 - 2x

2x = 6 - 4

2x = 2

x = 1

Final answer:

There is no integer power of 7 that exactly equals 2041, as 7 to the power of 4 is 2401, which is the closest integer power of 7 that is higher than 2041.

Explanation:

The question asks to determine the power of 7 that equals 2041, which is written mathematically as 2041 = 7x. To solve this, one approach is to estimate and refine by trying different powers of 7 until we get close to 2041. Here's how the estimation process could work:

Start with lower powers of 7 like 72 = 49, and increase the exponent.

Notice that 73 = 343 and 74 = 2401.

Since 2401 is just above 2041, we suspect our answer will be close to 4 but slightly less.

Checking with a calculator or using a division strategy, we can confirm that 2041 is slightly below 74, making it clear there's no integer power of 7 that equals 2041.

Therefore, there isn't an integer power of 7 that precisely equals 2041.

The answer to this question is C.

The y-intercept of a graph is the point, where the graph crosses the y-axis.

The graph with the given details is graph (c)

The given parameters are:

[tex]\mathbf{Domain = (-\infty,4)\ u\ (-4,3)\ u\ (3,\infty)}[/tex]

[tex]\mathbf{y-intercept = (0,3)}[/tex]

[tex]\mathbf{Increasing\ interval = (0,4)}[/tex]

From the list of given options. graph (d) has a y intercept of 2, because it crossed the y-axis at y = 2.

So, graph (d) cannot be the required graph

Graph (a) has a domain of: [tex]\mathbf{(-\infty,5),,,,,}[/tex]

So, graph (a) cannot be the required graph

The domain of graph (b) is [-3,3]

So, graph (b) cannot be the required graph

Hence, the required graph is graph (c)

Read more about graphs at:

https://brainly.com/question/451329

Answer:

The volume of the punch bowl is 1385 cubic inches.

Step-by-step explanation:

Cylinder:

Given that,

A punch bowl is in the shape of a cylinder.

The diameter of the punch bowl is 14 inches.

Then the radius of the punch bowl is [tex]=\frac{14}{2}[/tex] = 7 inches.

The height of the punch bowl is = 10 inches.

The punch bowl is need to fill 1 inch from the top.

So, we need to fill the punch bowl = (10-1) =9 inches.

The volume of the punch bowl is = [tex]\pi r^2 h[/tex]

                                                       [tex]=(3.14 \times 7^2\times 9)[/tex] cubic inches

                                                      ≈1385 cubic inches.

Final answer:

To fill a cylindrical punch bowl to 1 inch below the top, you would need to calculate the volume using the formula V = πr²h with the radius being half the diameter, and the height being the bowl's height minus 1 inch. Using the given dimensions, the volume needed is 1383 cubic inches of punch.

Explanation:

Calculating the Volume of a Cylinder Punch Bowl

To calculate the volume of the punch needed to fill a cylindrical punch bowl, we need to use the volume formula for a cylinder, which is V = πr²h. The diameter of the punch bowl is given as 14 inches, so the radius (r) is half of that, which is 7 inches. The height (h) of the punch needed is the height of the bowl minus 1 inch, which is 10 inches - 1 inch = 9 inches. Now, we can plug these values into the formula and use 3.14 for π:

V = π × r² × h = 3.14 × (7 inches)² × 9 inches

Doing the calculation:

V = 3.14 × 49 sq inches × 9 inches = 3.14 × 441 cubic inches = 1383.14 cubic inches. When we round this to the nearest whole number, we get a volume of 1383 cubic inches of punch needed to fill the bowl to the desired level.

Answer:

( x + 7 ) ( x + 7 )

Step-by-step explanation:

Product = 49

Sum = 14

Factors = 7 & 7

x² + 14x + 49

( x + 7 ) ( x + 7 )

Answer:

Step-by-step explanation:

x² + 14x + 49 = x² + 7x + 7x + 7*7

= x*( x+ 7) + 7*(x + 7)

= (x + 7)(x + 7)

Answer:

5/2

Step-by-step explanation:

20/8= 10/4=5/2

Answer:

5.5 goes up 5 times 6.0 goes up 6 times 6.5 goes up 7 times and 7.0 goes up 3 times.

Step-by-step explanation:

Answer:

7.21875

Step-by-step explanation:

Answer:

Step-by-step explanation:

B part

the variability of the two distributions appears to be about the same.

C part

. /. = .

the separation of . MADs. There is a  difference between the population means. Going to college is worth the effort.

Answer:

7 + 9i

Step-by-step explanation:

Given

(3 + 7i) - 1(- 4 - 2i) ← distribute both parenthesis

= 3 + 7i + 4 + 2i ← collect like terms

= 7 + 9i

Answer:

7+9i

Step-by-step explanation:

Answer:

10.

Step-by-step explanation:

The formula for this table is y=x+6. plug in 4 and you get 10

Answer:

10

Step-by-step explanation:

Don't just think: 6,7,8,9, oh it must be 10.

When x is 0, y is 6. That means no matter what 6 is added to x. So if we look at when x is 2, y = 8. Lets subtract the 6 from the 8 and we get 2. So the x is not multiplied by anything.

The equation is y = x+6.

4+6=10

Answer:

a) ([tex]\sqrt[n]{x}[/tex]) the n will be 5 the x will be (-32/243)^2.

b) written the same as a. except the c will replace the n and x will be (2y)^b.

c) the answer will be 0.4^3.

d) the answer would be (st)^v/u.

Hope this helps!

Brainliest?

Answer:

24

Step-by-step explanation:

Add 7 to both sides

c/3=8

Multiply both sides by 3

c=24

hope this helped

:)

Answer:

43 ounces of water

Step-by-step explanation:

Kindly refer to the attached image for explanations

Answer:

Step-by-step explanation:

she

Just substitute r with 357 and solve.

= 1/7(357) + 3(1/7(357))

= 51 + 3(51)

= 51 + 153

= 204

Therefore, Eliza read 204 in those 3 days.

Best of Luck!

Answer:

Part A: 204 pages

Step-by-step explanation:

Eliza reads of her book on Monday by [tex]\frac{r}{7}[/tex] pages, where r is the total number of pages in the book.

On Tuesday and Wednesday combined,  she reads three times as much as she reads on Monday i.e. [tex]\frac{r}{7} * 3 = \frac{3r}{7}[/tex] pages.

So, combining Monday, Tuesday and Wednesday she reads [tex]( \frac{r}{7} + \frac{3r}{7} ) = \frac{4r}{7}[/tex] number of pages.

Part A: If Eliza's book has a total of 357 pages then combining Monday, Tuesday and Wednesday she reads [tex]\frac{4*357}{7} = 204[/tex] pages.

please give me brainliest

Answer:

78°, 102°

Step-by-step explanation:

Let the two Supplementary anglea be x and y degrees, where x > y.

[tex] \therefore \: x - y = 24 \degree...(1) \\ x + y = 180 \degree...(2) \\ adding \: equations \: (1) \: and \: (2) \\ \\ x - y = 24 \degree \\ x + y = 180 \degree \\ - - - - - - \\ 2x = 204 \degree \\ x = \frac{204 \degree}{2} \\ \huge \red{ \boxed{x = 102 \degree}} \\ from \: equation \: (2) \\ 102 \degree + y = 180 \degree \\ y = 180 \degree - 102 \degree \\ \huge \purple{ \boxed{y \: = \: 78\degree}}[/tex]

Answer:

can not be a triangle

Step-by-step explanation:

4 plus 6 equals 10 not nore than twelve.

Answer:

24 students

Step-by-step explanation:

- I would suggest making a list of all numbers between 20-30.

21 (divisible by only 3) = wrong

22 (divisible by only 2) = wrong

23 (not divisible) = wrong

24 (divisible by 2, 3, 4, 6, and 8) = correct

25 (not divisible) = wrong

26 (divisible by only 2) = wrong

27 (divisible by only 3) = wrong

28 (divisible by only 2 and 4) = wrong

29 (not divisible) = wrong

- Now, find if they factor into 2, 3, 4, 6, and 8. I will do this, but read what I put.

- Hope this helps! If you would like a further explanation please let me know.

The number of students in the classroom is 24, as it is the smallest multiple of 2, 3, 4, 6, and 8 that is between more than 20 and fewer than 30.

The student is given a number puzzle in a mathematics classroom setting. Based on the teacher's hints, the number of students in the classroom should be a common multiple of 2, 3, 4, 6, and 8 that also fits within the given range of between more than 20 and fewer than 30. We need to find the least common multiple (LCM) of these numbers that fits the criteria.

First, realize that since the number must be divisible by 8, it must be at least 24 since 16 is too low.

Next, confirm if 24 is also divisible by 2, 3, 4, and 6. It is indeed, as 24=2x12, 24=3x8, 24=4x6, and 24=6x4.

Because 24 is the only number between 20 and 30 that is divisible by all the given numbers, it is the answer.

Thus, the number of students in the classroom is 24.

Answer:y=2/3x

Step-by-step explanation:

Kathleen has 5 gold balloons, 12 silver balloons, and 36 bronze balloons. By adding the number of each type, she has a total of 53 balloons.

To determine how many balloons Kathleen has altogether, we can work backward just like the student did in the original problem. Here are the steps:

Hence, Kathleen has a total of 53 balloons.

Answer:

C) 57,600 marbles

C) 460,800 marbles

Step-by-step explanation:

First we need to determine how many minutes in 8 hours

8 hours* 60 minutes/1 hour = 480 minutes

Take the marbles per minute * time in minutes

120 marbles / minutes * 480 minutes = 57600 marbles

This would be the number of marbles per shift

4 days with 2 shifts per day = 8 shifts per week

8 shifts * 57600 marbles / shift =460800 marbles per week

Answer:

1) C) 57,600 marbles

2) C) 460,800 marbles

Step-by-step explanation:

1) 120 × 8 × 60

57,600

2) 4 × 2 × 57,600 marbles

460,800

Answer:

x = 19

y = 14

so c is the correct answer

Step-by-step explanation:

for them to be parallel, 5x + 15 has to equal 110 because of the 70 on the opp side making the two supplementary, and 5y has to equal 70

so 5y = 70, making y = 14

then 5x + 15 = 110

to     5x = 95

so     x = 19

Answer:get your money up ohh and its 6.7

Step-by-step explanation:

Answer:

172.8°

Step-by-step explanation:

the answer is in the picture

please like and Mark as brainliest

Answer:

ok so the earth radius is 1534mi so if that is the radius than the area is 7.39×10^6so then you divide that into 3 pieces so each piece would be 2,463,333.3333 the nearest million would be 2,000,000

Step-by-step explanation:

To find the land area of a planet with a radius of approximately 1,534 miles and two-thirds water coverage, we calculate the total surface area and take one-third of that as the land area. The land area is approximately 9,867,658 square miles, which rounds to 10 million square miles.

To estimate the land area on the planet with a radius of 1,534 miles that is two-thirds covered by water, we first calculate the planet's total surface area using the formula for the surface area of a sphere, which is 4πr². Plugging in the radius:

Total surface area = 4π(1,534)² ≈ 29,602,975 square miles.

Since two-thirds of the planet's surface is covered by water, one-third is land. Therefore, the land area is approximately:

Land area = ([tex]\frac{1}{3}[/tex]) × Total surface area ≈ ([tex]\frac{1}{3}[/tex]) × 29,602,975 ≈ 9,867,658 square miles.

When rounded to the nearest million, the estimate for the land area is 10 million square miles.

Answer:

  c.)  π/4

Step-by-step explanation:

Form the desired ratio and simplify:

  A / B = circle area / square area

  = (36π)/(144) = (π·36)/(4·36) = π/4 . . . . matches choice C

Answer:

the area is 20

Step-by-step explanation:

If you put the triangles together, it makes a perfect square of 4, 16+4 = 20

Final answer:

To reach $500 with a 4% APR compounded monthly, you would need to invest $1.67 each month for the next 6 months.

Explanation:

To calculate how much needs to be invested each month for the next 6 months to have $500 with a 4% APR compounded monthly:

This calculation ensures the necessary monthly investment to reach the desired future value, facilitating financial planning and goal setting.

Answer:

16

Step-by-step explanation:

Median means the middle number. So you can look at it like this:

a,b, 20, c,d

Those are the variables for the numbers we do not know. We do know that they are all even numbers and they are consecutive, meaning in sequence. So if they are all even, then there should be a gap of 2 between each. They should also be in order. Knowing that, you can subtract 2 from 20 to get b, subtract 2 from b to get a, add 2 to 20 to get c, and add 2 to c to get d.

This should be your answer:

16, 18, 20, 22, 24

Consecutive, and even.

Final answer:

The smallest integer in the set of five consecutive even integers with a median of 20 is 16. This is calculated by recognizing the median as the middle value, and subtracting 4 (for two even steps) from the median.

Explanation:

If the median of five consecutive even integers is 20, we can determine the value of the smallest integer by understanding the property of consecutive even numbers and the nature of the median in a symmetrically distributed set. Since the median of this set is the middle value, the five consecutive even numbers can be represented as:

x

x + 2

20 (the median)

x + 4

x + 6

The median, 20, is the third value in this ordered set. To find the smallest value, x, we look two even numbers behind 20. Since consecutive even numbers increase by 2 with each step, we subtract 4 from 20 to find the smallest value.

20 - 4 = 16

Therefore, the smallest integer in this set of five consecutive even numbers is 16.

Answer:

Nonlinear

Step-by-step explanation:

Because it is an exponentially growing graph that is not linear.

Answer:

Non-linear

Step-by-step explanation:

If the graph was growing it would be linear.But the graph isn't growing.So it becomes non-linear.