Given f(x)=x^3-7x+k, and the remainder when f(x) is divided by x-5 is 78, then what is the value of k?

Answers

Answer 1

Answer:

the answer is k= -12

Step-by-step explanation:

use x-5= 0

x=5


Related Questions

Solve for xx. Round to the nearest tenth, if necessary.

Answers

sin U= |TS| / |US|

-> |US| = |TS| / sinU

-> x= 0.6 / sin 37°

-> x≈1,0

Solve for x (literal equations)
C=b-bx

Answers

Answer:

X= (-c+b)÷b

or

X= -b×(c-b)

Step-by-step explanation:

C=b-bx

b-bx=c

-bx= c-b

-x=(c-b)÷b

x= -(c-b)÷b

or

-x= b×(c-b)

x= -b×(c-b)

PLSSSS HELP <3
Which value of C represents a system with infinitely many solutions?
{6x+4y=14}
{9x+6y=C}

Answers

Answer: Option 2

Step-by-step explanation:

Find the volume of the following. Show your work

Answers

Answer:

length * width * height = volume

10 * 2 * 5.5 = 110 cubed inches

HELP PLEASE I HAVE A TIME LIMIT
the net for a pentagonal prism has 7 regions and 10 vertices. use Euler's formula to find the number of segments

Answers

Using the Euler's formula, the number of segments in the pentagonal prism is: 15.

What is the Euler's Formula?

The Euler's formula is given as,  F + V = E + 2, where:

F = number of faces (number of regions)V = verticesE = number of edges (number of segments).

Given that the pentagonal prism has the following dimensions:

F = 7V = 10E = number of segments = ?

Plug in the values into the Euler's formula, F + V = E + 2:

7 + 10 = E + 2

17 - 2 = E

E = 15

Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.

Learn more about the Euler's formula on:

https://brainly.com/question/1178790

Abebi surveyed how many miles the students in her Algebra 1 class travel to get to school, and ended up with the following set of data: 4.75, 2.25, 3, 3.5, 1.75, 2.25, 1.5, 5, 4.5, 2.25, 2, 3, 2.65, 4.8, 3.5\

Match the measures of central tendency to the correct values.

Hint:

MEAN = Sum of the data/# of data values

MEDIAN = middle data value when values are listed least to greatest

MODE = value appearing the most times

RANGE = difference between the largest and smallest values

Answers

Answer:

Mean: 3.1

Median: 3

Mode: 2.25 appears 3 times

Range: 5 - 1.5 = 3.5

Mean = (4.75+2.25+3+3.5+1.75+2.25+1.5+5+4.5+2.25+2+3+2.65+4.8+3.5)/16

= 3.56625

Median = 3.50

Mode = 2.25

Range = 9.10

How do you write 950% as a fraction, mixed number, or whole number?

Answers

To convert 950 percent to a fraction follow these steps:
Step 1: Write down the percent divided by 100 like this:
950% = 950/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 950 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(950,100) = 50. So,
(950÷50)/(100÷50) = 19/2 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 950/100 is also equal to 9 1/2 when expressed as a mixed number.

answer needed please

Answers

Answer:

the top answer should be stretched

What type of triangle is defined by the following set of side lengths
12, 8, 16
Question 3 options
Acute
Obtuse
Right
Not a triangle

Answers

The type of triangle defined by the following set of side lengths is an obtuse triangle

Properties of a triangle.

Triangles are 2-dimensional shapes with 3 sides and angles.

The triangle with the sides 12, 8 and 16 is considered a triangle since the sum of two of its sides is greater than the third.

The triangle is not right angle since the sum of its longest side is not equal to the sum of the square of other two sides.

This shows that the triaangle can either be acute or obtuse. Since one of the sides differes from the other by 8 units, hence one of its angles will be greater than 90 degrees.

This shows that the type of triangle defined by the following set of side lengths is an obtuse triangle

Learn more on obtuse triangle here: https://brainly.com/question/5023725

What is 20% of 60?

please and fanks

Answers

Answer:

heya! ^^

so the question demands us to calculate what is 20% of 60.

that's quite simple. so let's see how we gótta do this question.

[tex]\\\\ \fbox{20\% \: \: of \: \: 60} \\ \\ \dashrightarrow \: \frac{2\cancel0}{\cancel{100}} \times 6\cancel0 \\ \\ \dashrightarrow \: 2 \times 6 \\ \\ \dashrightarrow \: 12[/tex]

hope helpful :D

Answer:

12

▬▬How to▬▬Convert 20% to fraction.[tex]20[/tex]% ⇒ [tex]\frac{1}{5}[/tex]Flip [tex]\frac{1}{5}[/tex] to [tex]\frac{5}{1}[/tex][tex]\frac{5}{1}[/tex] also equals 5Add 5 and 1[tex]5 + 1 = 6[/tex][tex]6 * 2 = 12[/tex]

Hence, the answer is 12

7.a taxi travels with a constant speed

Answers

Answer:

Hi, not sure of what you're asking here?

Step-by-step explanation:

Try rephrasing it??

using the similar triangles below, solve for x !

Answers

Answer:

Step-by-step explanation:

Remarks.

This can be solved as a proportion. A proportion is 2 ratios making a total of 4 parts. If we know 3 of the parts, we can solve for the 4th.

63/(8x - 2) = 49 /42

Notice that the given parts of the top triangle are the numerators of the ratios. The 2 parts of the bottom triangle are the denominators of the proportions

Proportion

63/(8x - 2) = 49 /42

Solution

63/(8x - 2) = 49 /42                        Cross Multiply

(8x - 2)*49 = 63 * 42                       Combine the right.

(8x - 2)*49 = 2646                           Divide by 49

8x - 2 = 54                                        Add 2 to both sides

8x -2+2=54+2                                   Combine

8x = 56                                              Divide by 8

8x/8 = 56/8                                        

Answer: x = 7

For each number set in this assignment, give the mean, median, mode, and range. If one of these quantities does not exist in the set, then put "0". ​47, 31, 84, 50, 68, 85, 67, 56

Answers

Answer:

Mean: 54
Median: 61.5
Mode: 0
Range: 54

Step-by-step explanation:

Mean: Add everything up and divide by the amount of numbers
(47 + 31 + 84 + 50 + 68 + 85 + 67 + 56 = 488/8 = 54)

Median: Put all numbers in order from smallest to largest, the middle number is the median. Since we have 2 middle numbers, we add both 67 and 67 together, then divide them by 2.
31, 47, 50, 56, 67, 68, 84, 85
(56 + 67 = 123/2 = 61.5

Mode: The mode is the number that appears most often in the set of given numbers.
(There are no numbers that appear more than once so the mode is 0)

Range: The range is the largest number subtracted by the smallest number.
(85 - 31 = 54)

If the scores from an intelligence test are normally distributed, then you would predict that the largest number of people would receive an IQ score of _____ on that test.

Answers

Using the normal distribution, it is found that the prediction is that the largest number of people would receive an IQ score of 100 on that test.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

IQ scores have mean of 100, and since in the normal distribution most measures are around the mean, an IQ score of 100 is the prediction.

More can be learned about the normal distribution at https://brainly.com/question/24663213

The area of a square garden is
1/144 km ^2 . How long is each​ side?

Answers

Answer:

[tex]\frac{1}{12}[/tex] Km

Step-by-step explanation:

the area (A) of a square is calculated as

A = s² ( s is the side length )

here A = [tex]\frac{1}{144}[/tex] , then

s² = [tex]\frac{1}{144}[/tex] ( take square root of both sides )

s = [tex]\sqrt{\frac{1}{144} }[/tex] = [tex]\frac{1}{\sqrt{144} }[/tex] = [tex]\frac{1}{12}[/tex]

Answer:

side= 1/12 km = 0.083km

Step-by-step explanation:

The formula of area of a square is: A=side²

To get the length of each side, square root each side of the formula as shown below:

√A=√(side)²

√(1/144)=side

side= √(1/144) = 1/12 = 0.083km

Dersan went for a run to prepare for a long distance race coming up. From his house, he ran 6 miles directly north, and then 8 miles directly west. From there, he ran the diagnoal distance back to his house. How many total miles did Dersan run?​

Answers

Answer:

24

Step-by-step explanation:

So, Dersan's path is a right triangle. You have to find the last side. You can use the triples or 6^2+8^2=c^2 but I'll use a triple.

3,4,5.

The last side is 10.

6+8+10=24

hope this helped!

If AB is translated right 5 units and down 2 units, what are the coordinates of A', the image of point A?

Answers

Answer:

(1,0)

PLEASE mark me brainliest!!

Answer:

1, 0

Step-by-step explanation:

Carl is the owner of a shoe store and notices that his electricity bill has increased by 3%. Which of the expressions below represent a 3% increase?
1. a + 0.03a
2. a + 0.3a
3. 1.03a
4. 1.3a

expression 1 only
expression 2 only
expressions 1 and 3
expressions 2 and 4

Answers

Answer:

1 and 3

Step-by-step explanation:

PLS HELP- WILL GIVE BRAINLIEST!!

Answers

Answer:

b = 4 mm

Step-by-step explanation:

[tex]b=\sqrt{5^{2}-3^{2} } =\sqrt{25-9}=\sqrt{16} =4[/tex]

Hope this helps

Answer:

The missing leg measures b = 4 millimeters in length.

Step-by-step explanation:

The Pythagorean theorem should be used to find the missing leg measure.

The formula is a2+b2=c2, where a and b are the leg lengths and c is the hypotenuse length. This is known as the Pythagorean theorem.

Let's use the Pythagorean theorem now that a = 3 and c = 5.

a^2 + b^2 = c^2 - This is the Pythagorean theorem equation.

3^2 + b^2 = 5^2 - Fill in the equation with a=3 and c=5.

9 + b^2 = 25

b^2 = 16 - Take 9 off both sides or subtract.

square root of b^2 = square root of 16 - Take the square root of both sides of the equation.

b = 4 - Simplify

The missing leg measures b = 4 millimeters in length.

what are the answers?

Answers

Answer:

Step-by-step explanation:

hello : 12=4x   and   x-3=0

Find the mean and the median of this data: 9, 6, 5, 3, 28, 6, 4, 7.

Answers

Answer: 9 is mean and median is 6

Step-by-step explanation:

Graph the solution to this inequality on the number line.

12x−3<−138

Answers

Answer:

Step-by-step explanation:

1. Solve

12x-3+3<-138+3 <=== Add three to both sides to simplify the inequality

12x÷12<-135÷12 <=== divide by 12 on both sides so we can find what x is so that we can graph the inequality

x<-11.25 <=== negative divided by positive is always negative

2. Graph

1) you find -11.25 on the number line

2) you put an ray with an empty/hollow circle facing towards the negative side

plsss need help nowwww

Answers

Answer:

49/12

Step-by-step explanation:

1 ⅓ can be written as 1 + 1/3

1 ⅓

= 1 + 1/3

LCM = 3

= 3/3 + 1/3

= ( 3 + 1 )/3

= 4/3

2 ¾

= 2 + 3/4

LCM = 4

= 8/4 + 3/4

= ( 8 + 3 )/4

= 11/4

1 ⅓ + 2 ¾

= 4/3 + 11/4

LCM = 3 x 4 = 12

4/3 x 4/4

= ( 4 x 4 )/( 3 x 4 )

= 16/12

11/4

= 11/4 x 3/3

= ( 11 x 3 )/( 4 x 3 )

= 33/12

16/12 + 33/12

= ( 16 + 33 )/12

= 49/12

Answer:

I don’t know if it correct, but when I solved it I got 4 1/12

Step-by-step explanation:

(1+2) (1/3 + 3/4)

3 + 13/12

3 + 1 1/12

3 + 1 + 1/12

4 + 1 /12

4 1/12

This is the problem it’s on my screenshot

Answers

Answer:

(x = 0,y = 0),(x = 1, y = 4),(x= 2, y =8)

Step-by-step explanation:

the rule is to multiply x by 4.

when x = 0, y =4(0) = 0

when x = 1, y =4(1) = 4

when x = 2, y =4(2) = 8

Hope this helps!

Please mark as brainliest!

What expression is equal to 6(2f + 2)

Answers

Answer:

[tex]\boxed{\sf{12f+12}}[/tex]

Step-by-step explanation:

Use the distributive property.

Distributive property formula:

A(B+C)=AB+AC

6(2f + 2)

Multiply.

6*2f=12f

6*2=12

Rewrite the expression down.

12f+12

So, the final answer is 12f+12.

I hope this helps! Let me know if you have any questions.

Answer:

12f + 12

Step-by-step explanation:

Step 1:  Distribute

6(2f + 2)

(6 * 2f) + (6 * 2)

12f + 12

Answer: 12f + 12

expand and simplify \5 (\10 +\2) ?

someone said the answer was 60, so i tried it and it didn’t work. can anyone help please?

Answers

Answer:

[tex]5\sqrt{2} +\sqrt{10}[/tex]

Step-by-step explanation:

[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} ) < --Given[/tex]

[tex]\sqrt{5} \sqrt{10} +\sqrt{5} \sqrt{2} < -- Distribute[/tex]

An equation is in its simpliest form when you eliminate as many square roots as possible. Here are some rules:

1.) You cannot combine numbers through addition or subtraction if they are under square roots. However, you can combine numbers through multiplication or division if they are under square roots.

2.) You cannot take the square root of a number if the answer is not a whole number (unless the problem says you can). However, you can solve the square root if the number can be simplfied into a "rootable?" number. In other words, the number under a square root can be divided into a number that can have its square root taken.

The first part...

[tex]\sqrt{5} \sqrt{10} = \sqrt{5} * \sqrt{10} < --Multiply[/tex]

[tex]\sqrt{5} * \sqrt{10} =\sqrt{50}[/tex]    

[tex]\sqrt{50} = \sqrt{25} *\sqrt{2} < --Separate[/tex]

[tex]\sqrt{25} = 5 < --Solve[/tex]

[tex]\sqrt{50} = 5 *\sqrt{2} < -- Substitute[/tex]

[tex]5*\sqrt{2} =5\sqrt{2} < --Rewrite[/tex]

The second part...

[tex]\sqrt{5} \sqrt{2} =\sqrt{5} * \sqrt{2} < -- Multiply[/tex]

[tex]\sqrt{5} *\sqrt{2} = \sqrt{10}[/tex]

Combine both parts...

[tex]5\sqrt{2} +\sqrt{10}[/tex]

please find the area of the shaded region. EFGH is a square

Answers

The answer should be 96cm^2, I’ll say how I got my answer.

I multiplied 12 x 8 which gives you 96cm^2, and area is equal to (L x W)

Which number line shows the solution set for Ip-31-97
-129
3
6 9 12
-12 -9
-6
-3
0
3
6
9 12
.
+
-12 -9
-6 3 0
+
9
12
o
3
-12 g 6
-3
0
12

Answers

The answer is 12g -13 /12-16+13.5

F(x)=x^2. What is g(x)? point given (2,1)

A. g(x)= 4x^2
B. g(x)=1/4x^2
C. g(x)=(1/4x)^2
D. g(x)=1/2x^2

Answers

f(x)=x²

At x=2

f(2)=2²=4

And

g(2)=1

So the function is

g(x)=1/4f(x)g(x)=1/4x²

The volume of a sphere is 2,000π m3. What is the surface area of the sphere to the nearest square meter?

Answers

Answer:

Volume of a sphere = 4/3 πr³

4/3 * 3.14 * r³ = 4000

4.19 * r³ = 4000

r³ = 4000 / 4.19

r = ∛1058

r = 10.19

Now, surface area = 4πr² = 4 * 3.14 * (10.19)²

S.A. = 12.56 * 104

S.A. = 1307

In short, Your Answer would be Option D) 1307 m²

Hope this helps!

Step-by-step explanation:

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