If f(x) = 2x² + 5, then what is the remainder when f (x) is divided by x – 10?

Answer:

the equasion of q is y=8/9x + 7/9

Step-by-step explanation:

1. to find the slope perpendicular to the slope of the first equasion, you have to find the negative recipocal, an easy way to find that is to switch the numerator and denominator of the slope as well as multiplying it by -1

2. now that you have found the slope that is perpendicular, your second equasion so far is y= 8/9x, to find the y-intercept, you plug in (7, 7) to x and y, making the equasion 7=8/9(7) + x, in this equasion x is the y intercept

3. when you solve for x for finding the y-intercept, x=7/9, which makes the equasion y=8/9x + 7/9

Answer:

X = 9

Step-by-step explanation:

-1

Step-by-step explanation:

because 1 - 2 is -1

Answer:

$3150

Step-by-step explanation:

I = P • R • T

Intrest Equals Principal Amout times Rate of Intrest times Amount of Time

P is our Principal amount of $3,000

R is our Rate of 7%

T is the time span of  years

Now if we plug in the values and solve the equation we get $3150 dollars in intrest.

Final answer:

Roxanne will earn $3,150 in interest after 15 years.

Explanation:

To calculate the interest Roxanne will earn, we can use the formula:

Interest = Principal x Rate x Time

Where Principal is the initial amount invested, Rate is the interest rate, and Time is the number of years.

Plugging in the given values, we get:

Interest = $3,000 x 0.07 x 15

Interest = $3,150

Therefore, Roxanne will earn $3,150 in interest after 15 years. This implies that Roxanne will accumulate $3,150 in interest after 15 years, illustrating the straightforward application of the interest formula to quantify the financial growth derived from the initial investment over the specified period.

Answer:

speed in meters per seconds = 5x

speed in kilometers per hour = 18

Step-by-step explanation:

The speed is the distance over the time

Given the speed of the stone x meters in 0.2 seconds

So, speed = [tex]\frac{x}{0.2}[/tex] = [tex]\frac{5*x}{5*0.2} = \frac{5x}{1}[/tex] = 5x meters per seconds

To convert from meters per seconds to kilometers per hour :

1 kilometer = 1000 meters ⇒ 1 meters = 0.001 kilometer

1 hour = 3600 seconds ⇒ 1 second = 1/3600 hour

[tex]\frac{meter }{second } = \frac{0.001\ km }{(1 /3600) \ hour} =\frac{3600}{1000} \frac{km}{hour} = 3.6 \ km/hour[/tex]

So, 5x meters per seconds = 5x * 3.6 = 18 kilometers per hour

Final answer:

Calculate the speed of the stone in meters per second and kilometers per hour based on the given distance and time traveled.

Explanation:

The speed of the stone can be calculated as follows:

Speed in meters per second = Distance / Time = x / 0.2 seconds

Speed in kilometers per hour = (x / 0.2) * 3.6

Answer:

The coordinates of ABCD after  the reflection across the x-axis would become:

Step-by-step explanation:

The rule of reflection implies that when we reflect a point, let say P(x, y), is reflected across the x-axis:

In other words:

The point P(x, y) after reflection across x-axis would be P'(x, -y)

P(x, y)        →       P'(x, -y)

Given the diagram, the points of the figure ABCD after the reflection across the x-axis would be as follows:

P(x, y)        →       P'(x, -y)

A(2, 3)       →       A'(2, -3)      

B(5, 5)       →       B'(5, -5)

C(7, 3)        →      C'(7, -3)

D(5, 2)       →       D'(5, -2)

Therefore, the coordinates of ABCD after  the reflection across the x-axis would become:

Answer:

9802.9

Step-by-step explanation:

find 17.4% of 8350 and then add that to the original price

Answer:

675 ft (3 s.f.)

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

Radius  =  7 cm

Diameter  =  7 cm  ×  2  =  14 cm

Step-by-step explanation:

The radius of the circle is 7 cm, and the diameter is 14 cm.

Given that the radius (R) of a circle is 7 cm, we can determine both the radius and diameter of the circle.

Radius: The radius is the distance from the center of the circle to any point on its boundary. Thus, the radius provided is 7 cm.

Diameter: The diameter is twice the radius, as it stretches from one edge of the circle to the other, passing through the center. Therefore, the diameter is calculated as follows:

Diameter = 2 × Radius

Diameter = 2 × 7 cm

Diameter = 14 cm

So, the diameter of the circle is 14 cm.

To summarize, the radius is 7 cm and the diameter is 14 cm.

The given terms combine to form 9.047 in decimal form. The mathematical conversions are based on division by powers of ten and understanding how to move the decimal point for correct place value representation.

The question asks us to express a sum of three terms in decimal form. The terms are: 9x1, 4x1/100, and 7x1/1000.

To simplify, the first term is just 9, as anything multiplied by one remains unchanged.

The second term, when simplified, is 4 divided by 100, which is 0.04.

The third term, 7 divided by 1000, simplifies to 0.007. Adding these three numbers together gives us the decimal form of the expression.

Using the knowledge of powers of ten, we know that dividing by powers of 10 moves the decimal point to the left a number of places equal to the exponent.

For instance, when we divide 1.9436 by 1000, we get 0.0019436.

Converting whole numbers to decimals and vice versa involves moving the decimal point and keeping track of the moves with powers of ten, as seen with the example of 965 becoming 9.65 x 10².

With this understanding, the sum of the terms is as follows: 9 + 0.04 + 0.007, which equals 9.047. This combines whole numbers and decimal fractions into one rounded decimal form.

m∠R = 110° and m∠S = 110°

Solution:

Given data:

RSWY is a parallelogram.

∠R = (5x – 90)° and ∠S = (2x + 30)°

In RSWY, ∠R and ∠S are opposite angles.

Opposite angles of a parallelogram are congruent.

m∠R = m∠S

(5x – 90°) = (2x + 30)°

5x° – 90° = 2x° + 30°

Add 90° on both sides of the equation, we get

5x° = 2x° + 120°

Subtract 2x° on both sides of the equation, we get

3x° = 120°

Divide by 3 on both sides of the equation.

x° = 40°

Substitute x = 40 in m∠R and m∠S.

m∠R = (5x – 90)°

         = 5(40°) – 90°

m∠R = 110°

m∠S = (2x + 30)°

         = 2(40°) + 30°

m∠S = 110°

Hence m∠R = 110° and m∠S = 110°.

Answer:

Mr. Reynolds used 32 ounces of peanuts to make trail mix.

Step-by-step explanation:

One pound is equal to sixteen ounces! Simply, multiply the number of pounds by 16!

2 pounds x 16 ounces = 32 ounces

Hope this helps! :)

Answer:

The answer is n < -7

Step-by-step explanation:

First, you have to move all the numbers to one side:

(-5) - (-7) > 9 + n

-5 + 7 > 9 + n

9 + n < 2

n < -7

(Hope this can help)

Answer: while earning interest at this rate, the total balance that will be found in the account will be $15,500

Step-by-step explanation:

Before calculating the amount that the sum will grow to after two years, we need to input the formula for calculating simple interest since what the pension fund agreed to pay is a simple if interest if 12%.

Simple interest (S.I) = [Principal(P) × Rate(R) × Time(T)]/100

In this case, the amount deposited initially us $12,500, this is therefore the principal (P). The pension fund agreed to pay a simple interest of 12%, this is then the rate(R). The investment is for a period of two years, this is the time, (t).

S.I = (12,500 × 12 × 2)/100

= $3,000

This is the total interest the deposit will yield. We then add this interest to the initial deposit of $12,500 to find the total amount that will now be in the account after the two years.

$12,500 + $3,000

= $15,500

The total balance in the account after the period of two years is $15,500

Final answer:

$15,500.

Explanation:

Danny is looking to calculate the final balance of his pension fund after two years of earning simple interest at a rate of 12% annually on a principal investment of $12,500. To determine the final balance, we need to use the formula for calculating simple interest:

Simple Interest = Principal × Interest Rate × Time

In this case, Principal is $12,500, the Interest Rate is 12% per year (or 0.12 when converted to a decimal), and Time is 2 years. So the calculation would be as follows:

$12,500 × 0.12 × 2 = $3,000

This means that the interest earned over two years is $3,000. To find the total balance after two years, this interest amount is added to the original deposit:

$12,500 + $3,000 = $15,500

Radius- 5

The radius is half, so if you want to find the radius, you have to see what if half of the diameter, which is 10. So 10 divided by 2 is 5 which is the radius. Easy.

Answer:

A. Strong negative

General Formulas and Concepts:

Statistics

Step-by-step explanation:

According to the graph and the data set, we can see that we do indeed have a negative correlation trend. Therefore, options B and D can be eliminated.

Looking at the graph, we can see that we can definitely tell that it is a negative slope and it would be pretty steep. Therefore, the best answer choice would be A. Strong negative.

Answer:

Step-by-step explanation:

a) no angles are described or shown

__

b) Opposite sides are the same length, so we have ...

  3x -21 = 34

  3x = 55 . . . . . . . add 21

  x = 55/3 = 18 1/3 . . . . . divide by 3

and

  4y +32 = 62

  4y = 30 . . . . . . . . subtract 32

  y = 15/2 = 7 1/2 . . . . divide by 4

__

c) The perimeter is the sum of the side lengths, so is ...

  P = 2(L+W) = 2(62 +34) = 192 . . . units

The area is the product of adjacent side lengths, so is ...

  A = LW = 62·34 = 2108 . . . square units

The other number is 375.

Step-by-step explanation:

The given information are,

The one number out of the two numbers is 300.

Let, the another number be assumed as 'x'.

The first number = 300 and the second number = x.

To find the number x :

The HCF × LCM = product of two Numbers  is a logic to used to find the unknown number.

We know the values of HCF = 75 , LCM = 1500 and one number = 300 and the second number is x.

Therefore, substituting those values in the above formula, we get

⇒ 75 × 1500 = 300 × x

⇒ 1125 / 3 = x

⇒ 375 = x

Therefore, the second number is 375.

Answer:

36.90 = (369/10)

| | Wearing a Watch | Not Wearing a Watch |

|------------|-----------------|---------------------|

| Wearing a Belt | 43.36% | 22.38% |

| No Belt | 20.28% | 13.99%

The Breakdown

To create a relative frequency table, we need to calculate the percentages of belt wearers who wear a watch or not, as well as the percentages of people without belts who wear a watch or not.

First, let's calculate the total number of people:

Total = 62 + 32 + 29 + 20 = 143

Now, let's calculate the percentages:

Percentage of belt wearers who wear a watch:

= (Number of belt wearers who wear a watch / Total) × 100

= (62 / 143) *×100

≈ 43.36%

Percentage of belt wearers who do not wear a watch:

= (Number of belt wearers who do not wear a watch / Total) × 100

= (32 / 143) × 100

≈ 22.38%

Percentage of people without belts who wear a watch:

= (Number of people without belts who wear a watch / Total) × 100

= (29 / 143) × 100

≈ 20.28%

Percentage of people without belts who do not wear a watch:

= (Number of people without belts who do not wear a watch / Total) × 100

= (20 / 143) × 100

≈ 13.99%

Using these percentages, we can create the relative frequency table:

| | Wearing a Watch | Not Wearing a Watch |

|------------|-----------------|---------------------|

| Wearing a Belt | 43.36% | 22.38% |

| No Belt | 20.28% | 13.99% |

This table shows the percentages of belt wearers who wear a watch or not, as well as the percentages of people without belts who wear a watch or not.

Answer:

3x − y = 5,

2x + 3y = −15

Which value can the first equation be multiplied by to form opposite values on the y-term? 3

The solution to the system of equations is (0, -5).

Multiply by 3.

Solution is x=0, y=-5.

The coefficients of y are -1 and 3.

If we multiply the first equation by 3. Then the coefficients of y will be 3 and -3. They are opposite values.

After multiplying the first equation by 3 we get:

[tex]3(3x - y) = 3(5)\\9x-3y=15[/tex]

Then we add it with the second equation.

[tex]9x-3y+2x+3y=15-15\\11x=0\\x=0[/tex]

Using x=0 in 3x - y = 5 we get:

[tex]3(0) - y = 5\\0-y=5\\y=-5\\[/tex]

Solution is x=0, y=-5.

Learn more: https://brainly.com/question/13769924

Answer:

The answer is 12 x 5= 60

Step-by-step explanation:

Each number from the 5 digits becomes used with each other number that is used 5 x. This creates 4*2 =16 3^3=27 +2^3=16 +1^1 = 60

Answer: The height of the tree is 64.94ft

Step-by-step explanation:

Using the trigonometry of angles

Tan theta = opposite/adjacent

Tan 33° = height of the tree/100

Height of the tree= tan 33° * 100

= 0.6494*100

= 64.94ft

The height of the tree is 64.94ft

Answer:

-4x+2

Step-by-step explanation:

rewright factor and reduce

Answer: I dont know

Step-by-step explanation:

He is almost dead and wants the pp

Answer:

A) 75 − s = c

20s + 30c = 1,870

Step-by-step explanation:

Let us call [tex]s[/tex] the number of standard edition games and [tex]c[/tex] the number of collectors edition games.

Each standard edition game has volume of 20 in³ and each collectors edition game has volume of 30 in³, together the shipping volume is 1870 in³; therefore,

[tex]20s+30c = 1870[/tex].

Also, the company receives a total of 75 copies of the game, which means

[tex]s+c =75.[/tex]

Thus, the system of equations representing the describing the situation are

[tex]20s+30c = 1870[/tex]

[tex]s+c =75,[/tex]

which from the given choices, matches choice A. ([tex]75-s=c[/tex] can be rewritten as [tex]s+c =75[/tex])