Which equation is equivalent to 4^x+3=64
A) 2^x+6 = 2^4
B)2^2x+6 = 2^6
C) 4^2x+6 = 4^2
D)4^x+3 = 4^6

Answer:

d) 87.92

Step-by-step explanation:

V = A(base)* height= πr² * h= 3.14*2²*7=87.92

Answer:

27

Step-by-step explanation:

Of means multiply

60% * 45

Change to decimal form

.60* 45

27

Answer:

Monthly amortization paid is $1,135

Amount of interest paid is $308,469

Step-by-step explanation:

Here, we are interested in calculating the monthly payment paid and the total value of this interest.

Firstly, we calculate the amount which this loan would be at the end of the 30 years.

To calculate this amount, we make use of the compound interest amount formula

A = P(1 + r/n)^nt

where A is the amount we want to calculate

P is the amount borrowed which is $100,000

r is the interest rate which is 4.7% or simply 4.7/100 = 0.047

n is the number of times yearly which the interest is compounded which is 12 since it is compounded monthly

t is the total time taken to repay the loan which is 30 years

Plugging these values, we have

A = 100,000( 1 + 0.047/12)^(12 * 30)

A = 100,000( 1+ 0.00392)^360

A = 100,000(1 .00392)^360

A = $408,469

The monthly payment needed to amortize the loan will be the amount after 30 years divided by the number of months in 30 years

The number of months in 30 years is 30 * 12 = 360 months

The monthly payment amount is thus 408,469/360 = 1,134.6 approximately $1,135

The total interest paid will be the amount minus the principal

This is $408,469 - $100,000 = $308,469

Answer:

6, 8, 10, 12, 18, 20

Mean: 6 + 8 + 10 + 12 + 18 + 20 = 74/6 = 12.3

Median: 11

Mode: there are no mode in the following listed numbers or data set.

~hope this helps~

would highly appreciate it if you would mark me the brainliest

Answer:

the factored form is -5x^2(7x-1)

Answer:

5k^2(1 - 7k)

Step-by-step explanation:

hope this helps(:

Answer:

100 degrees

Step-by-step explanation:

-2x means -2*x or "-2 times x" where x is a placeholder for any number you want.

To graph y = -2x, you just need two points. Each point is of the form (x,y)

Let's plug in zero as it is often the easiest to work with.

If x = 0, then -2*x = -2*0 = 0. Notice how I replaced x with 0 and simplified.

Therefore, if x = 0, then y = 0. We have (x,y) = (0,0) as one point on this line. I have marked it as point A in the graph.

Point B is (1, -2) and it is found by plugging x = 1 into the equation to get...

y = -2x

y = -2*1

y = -2

You could find other points, but two points is enough to draw a straight line through them. The slope of this line is -2 = -2/1. The y intercept is 0.

Answer:

5

Step-by-step explanation:

Greetings :)

To find slope of two points we will need to use this equation:   [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

 [tex]x^1[/tex]     [tex]x^2[/tex]     [tex]y^1[/tex]    [tex]y^2[/tex]  

( 6 , -12 ) ( 15 , -3 )

Now let's replace the equation with the numbers. (it will be a fraction).

[tex]\frac{-3-(-12)}{15-12}[/tex]         =         [tex]\frac{9}{9}[/tex]

The equation equals 9 over 9, which also equals 1.

The slope of the line is 1.

Answer:

0

−

8

=

−

8

0-8=-8

20

=

−

8

20=-8

O

⋅

40

=

40

O

O⋅40=40O

−

8

=

40

O

-8=40O

O

−

8

=

40

O

O-8=40O

8

=

40

O

8=40O

O

⋅

40

=

40

O

O⋅40=40O

20

=

40

O

20=40O

Answer:

1% of 800 is 8, while 2% of 800 is 16

Step-by-step explanation:

Please mark brainliest :)

Answer:

1% of 800 is 8

2% of 800 is 16

Step-by-step explanation:

Answer:

6.97

Step-by-step explanation:

t r u s t me

Rounding to the nearest hundredth, we get [tex]\( AB \approx 6.97 \)[/tex]. So, the correct answer is indeed [tex]\( x \approx 6.97 \).[/tex]

To find the length of side AB, we can use the sine function as follows:

[tex]\[ \sin(B) = \frac{{\text{opposite}}}{{\text{hypotenuse}}} \][/tex]

In this case, [tex]\( \sin(35^\circ) = \frac{4}{AB} \).[/tex]

We rearrange this equation to solve for AB:

[tex]\[ AB = \frac{4}{{\sin(35^\circ)}} \][/tex]

Now, we'll calculate:

[tex]\[ AB = \frac{4}{{\sin(35^\circ)}} \]\[ AB \approx \frac{4}{{0.5736}} \]\[ AB \approx 6.97 \][/tex]

Rounding to the nearest hundredth, we get [tex]\( AB \approx 6.97 \)[/tex]. So, the correct answer is indeed [tex]\( x \approx 6.97 \).[/tex]

Answer:

C. -11 x 6

Step-by-step explanation:

When you multiply a negative number with a positive, your answer will always be negative. In this case:

-11 x 6 = -66.

~

Answer:

C. -11 × 6

Step-by-step explanation:

A. -12×(-8)  =96

B. -72÷(-9) =8

C. -11×6 =-66

D. -14+24=10

Only option C gives a negative answer.

Answer:

(a) 55080 m³

(b) 1312 truckloads

(c) 11 days

Step-by-step explanation:

(a) We have a rectangular prism with the dimensions 12 by 85 by 54, so the volume is just the product of these numbers:

V = 12 * 85 * 54 = 55080 m³

(b) The truck can hold 42 m³ of earth, so divide 55080 by 42 to get the number of truckloads required:

55080 / 42 = 1311.4

Since we will still need a truckload to hold that little bit of earth that involves 0.4 of a truck, we round up to 1312 truckloads.

(c) In one day, 4 trucks work for 6 hours and since each truck can remove 42 m³ with 5 loads per hour, we have:

42 * 5 * 6 * 4 = 5040 m³ earth removed a day

Divide 55080 by 5040 to get the number of days:

55080 / 5040 = 10.9 ≈ 11 days

Part A:

The volume can be found by multiplying all the dimensions of the earth being evacuated.

12 * 85 * 54 = 55,080m³

Part B:

Divide the number of capacity that each truck carries of earth.

55,080 / 42 = 1,311.4285

I would assume we round up since that little bit that's left over is another load.

So, 1,311.4285 → 1,312 truckloads

Part C:

4 trucks work non-stop for a 6 hour day, each truck can transport 5 loads per hour, and each truck can carry 42m³ of earth. We can multiply all these numbers and divide by the total earth capacity.

42 * 6 * 5 * 4 = 5,040

55,080 / 5,040 = 10.9285...

Round up.

10.9285... → 11 days

Best of Luck!

9514 1404 393

Answer:

  P = 8

Step-by-step explanation:

The "varies inversely" relation can be expressed by the equation ...

  P = k/x

For the given values, we can find k to be ...

  k = Px = (7)(8) = 56

Then for the new value of x, we have ...

  P = 56/x = 56/7

  P = 8

Final answer:

P varies inversely with x and given P=7 when x=8, the constant of variation k is determined to be 56. Using this constant, the value of P when x=7 is calculated to be 8.

Explanation:

The student's question relates to the concept of inverse variation in mathematics. The relationship between two variables is described as inversely proportional if their product is constant. In the given scenario, P varies inversely with x and the student provided a specific condition where P = 7 when x = 8. Therefore, using the constant of variation k, the equation can be written as P = k/x. To find the constant of variation, we use the provided values:

Now with the constant k found, to calculate the value of P when x = 7, we set up the equation:

Therefore, the value of P when x = 7 is 8.

Answer: an= -6(3)^(n-1)

(B)

Step by step explanation: a1 is -6 and a2 is -18, only B would match the sequence. The only other answer that comes close is -6(-3)^(n-1) but if you multiply -6 by -3 you get 18 instead of -18

There are a total of 24 different combinations of exterior color, interior color, and engine that the car company can offer.

The multiplication principle states that if there are a number of choices for one aspect of a problem, and a number of choices for another aspect of the problem, and the choices for each aspect are mutually exclusive (i.e., they do not overlap), then the total number of choices is the product of the number of choices for each aspect.

As per the question, there are 4 choices for the exterior color of the car, 3 choices for the interior color of the car, and 2 choices for the engine of the car.

Using the multiplication principle, we can determine that the total number of different variations of the car is :

4 x 3 x 2 = 24.

This means that the car company may provide a total of 24 distinct exterior colors, interior colors, and engine combinations.

To learn more about the multiplication principle click here:

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Using the multiplication principle, by simply multiplying together the number of options for each feature (4 exterior colors, 3 interior colors, 2 engines), we find that there are 24 possible variations of the car that the company can make.

The multiplication principle in mathematics is a tool used in combinatorics that suggests that if you have multiple groups of items, and you want to know how many different combinations there are of one item from each group, you can simply multiply the amount of items in each group. In the context of your car company question, with 4 exterior colors, 3 interior colors, and 2 types of engines, the multiplication principle suggests you can calculate the total combinations by multiplying these numbers together. So, you would have:

4 (exterior colors) * 3 (interior colors) * 2 (engine types) = 24 total variations

Therefore, according to the multiplication principle, there would be 24 different variations of the car the company could produce.

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Answer:

[tex]v=3[/tex]

Step-by-step explanation:

[tex]-2v+2=-7v+17[/tex]

[tex]-2v+2-2=-7v+17-2\\-2v=-7v+15\\-2v+7v=-7v+15+7v\\5v=15\\v=3[/tex]

Answer:

About 90%

Step-by-step explanation:

If the cup was filled at a constant rate, then the cup fills at 70/2=35 cubic centimeters per second. The formula for the volume of a cone is [tex]\frac{1}{3} \pi r^2 h[/tex], or in this case [tex]\frac{112}{3}\pi[/tex] cubic centimeters. After 3 seconds, the cup would have 35*3=105 cubic centimeters of water inside of it, or about 89.52% which rounds to 90%. Hope this helps!

Answer:

Point D

Step-by-step explanation:

Answer:

The length of the base edge is 3 cm

Step-by-step explanation:

Volume of square pyramid =[tex]\frac{1}{3}BH[/tex]

Where B = area of square base

H = Height

Let the length of base edge be x

Area of base = [tex]Side^2 = x^2[/tex]

Height of pyramid = 5 cm

So,Volume of square pyramid =[tex]\frac{1}{3}BH=\frac{1}{3} \times x^2 \times 5[/tex]

We are given that The volume of a square pyramid is 15 cubic centimeters.

So,[tex]\frac{1}{3} \times x^2 \times 5=15[/tex]

[tex]x^2 = \frac{15 \times 3}{5}[/tex]

[tex]x=\sqrt[2]{\frac{15 \times 3}{5}}[/tex]

x=3

Hence the length of the base edge is 3 cm

Answer:

1st Problem: 6m + n - 10p

Step-by-step explanation:

5m - {2n + [3p - (m + 3n - 7p)]}

5m - {2n + [ 3p - m - 3n + 7p]}

5m - {2n + 10p - m - 3n}

5m - {-n + 10p - m}

5m + n - 10p + m

6m + n - 10p

** I don't understand what you are trying to say in the 2nd problem **

Answer:

170

Step-by-step explanation:

Answer:

5 hours 46 minutes

Step-by-step explanation:

The correct statement is the mode is greater for Mrs. Ramos’s class.

Median is the number in the middle of a dataset.  Mode is the number that occurs most frequently in the dataset.

Number of pets in  Mr. McIntyre’s class = 0,0,0,0,0,1, 1, 1, 1, 1, 4, 4, 4, 4, 1,

Number of pets in  Mrs. Ramos’s Class = 0, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3

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Answer:

The answer is C) the mode is greater for Mrs. Ramos’s class.

Step-by-step explanation:

If you need any help with this question please ask me! :)

Answer:

-3 and 12 are the answer

Step-by-step explanation:

-3 times 12 is - 36 and

-3 plus 12 is 9

Hope this helps ;)

The two unknown numbers are x=-3 and y=12.

Let the two unknown numbers be x and y.

Two numbers that multiply to -36 and add to 9.

xy=-36 -------(i)

x+y=9 -------(ii)

x=9-y -------(iii)

Substitute x=9-y in equation (i), we get

(9-y)y=-36

9y-y²=-36

y²-9y-36=0

y²-12y+3y-36=0

y(y-12)+3(y-12)=0

(y-12)(y+3)=0

y-12=0

y=12

Substitute y=12 in equation (ii), we get

x=-3

Therefore, the two unknown numbers are x=-3 and y=12.

To learn more about the linear system of an equations visit:

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Answer:

The correct option is:

The student should have switched the direction of the inequality sign to get –5> x for a final answer

Step-by-step explanation:

The students has made a mistake in the 3rd step.

We know that when we multiply or divide any negative number on both sides of the inequality, the sign of inequality  reverse its direction.

In step 3 the student divided 25 by -5 but did not  switch direction of the inequality sign.

Therefore the correct option is: The student should have switched the direction of the inequality sign to get –5> x for a final answer

Answer:

C

Step-by-step explanation:

Just did it

Answer:

a=8

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 +15^2 = 17^2

a^2 +225 = 289

Subtract 225 from each side

a^2 +225-225=289-225

a^2 = 64

Take the square root of each side

sqrt(a^2) = sqrt(64)

a = 8

Answer:

8

Step-by-step explanation:

Using the Pythagorean theorem, you can find that the missing side length is [tex]\sqrt{17^2-15^2}=8[/tex] units. Hope this helps!

Answer:

126

Step-by-step explanation:

2=1³+1

9=2³+1

28=3³+1

65=4³+1

=>5³+1=126

The rule is: n³+1