Given f(x) = 3x2 + kx – 7, and the remainder when f (x) is divided by x – 4 is
81, then what is the value of k?

2

x-9 = -5

2=x 2+x + 4-2=2 2-6+

-4

2

X

Given A room is half as long again as it is broad

Let the breadth of the room x m

length of the room x + x/2 = 3x/2m

Area of the room , x × 3x/2 = 3x²/2m

Given , cost of carpeting the room at Rs. 3.25m⁻²

So , total cost , 3x²/2 × 3.25

But , Total cost of carpeting is given as 175.50 so ,

let the height of the room H m

Area of the four wall = 2(L+ b)× h 2(6+9)× H

= 30H m²

Area of the of the one door and two window is 8m²

8m² Area to be prepared = Area of four wall - area of two window and 1 door = (30H - 8) m²

Given cost of preparing wall is Rs. 1.40m²

total cost of preparing wall is (30H - 8) × 1.40

Total cost of preparing wall is given as 240.80

comparing , (30H - 8 ) × 1.40 = 240.80

Hence, Dimensions of the room are lengths 9m , breadth 6m and height 6m

Applying the formula for volume of a rectangular prism and volume of a cube, we would have:

a. 6/125 cm³

b. 8/125 cm³

c. 1/125 cm³

d. 36/125 cm³

a. Volume of rectangular prism = length × width × height = (1/5) × (2/5) × (3/5)

Volume of rectangular prism = 6/125 cm³

b. Volume of cube = (side length)³ = (2/5)³

Volume of cube = 8/125 cm³

c. Volume of cube = (side length)³ = (1/5)³

Volume of cube = 1/125 cm³

d. Volume of rectangular prism = length × width × height = (3/5) × (4/5) × (3/5)

Volume of rectangular prism = 36/125 cm³

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Answer:What is the probability of spinning a 2 on the spinner?

Image result for You roll a number cube and then spin a spinner with two equal-sized sections. What is the probability of rolling a number greater than 3 and spinning red? A. 1/4 B. 1/6 C. 1/3 D. 1/2

There are 2 sections on the spinner that contain a '2'. The probability of spinning a 2 is 2 / 8 . The probability of spinning a 3 is also 2 / 8

Step-by-step explanation:

The probability of rolling a number greater than 3 and spinning red is 1/4.

We need to determine the favorable outcomes (the outcomes that satisfy both conditions) and the total possible outcomes.

The numbers greater than 3 and corresponding to the red section are: 4R, 5R, and 6R. So, there are 3 favorable outcomes.

Since we have a number cube with 6 sides and a spinner with 2 sections, the total possible outcomes are the product of the number of sides on the cube and the number of sections on the spinner, which is 6 × 2 = 12.

The probability is calculated by dividing the number of favorable outcomes by the total possible outcomes.

Probability = Favorable outcomes / Total possible outcomes

= 3 / 12

= 1 / 4

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Answer:

The range is the best measure of variability because the distribution has an outlier.

Either the IQR or the range are good measures of variability because the distribution has no outliers.

The IQR is the best measure of variability because the distribution has an outlier.

Step-by-step explanation:

is this what you was looking for

Answer:

ans is 24000

Step-by-step explanation:

frist convert 12 into mins

/ it with 45

now multiple it with 1500

now ans 24000

(Assuming it works at a constant rate)

45 minutes = 3/4 of an hour

If it works for 12 hours, it works for 12 : 3/4 = 16 times more than 45 minutes.

Since it works at a constant rate, it must also print 16 times more paper than in 45 minutes.

So, in 12 hours, the machine print 1500 x 16 = 24000 (papers)

The equation solved by the John to find w, the greatest width in centimeters he can use for the mosaic, is w(w + 2) = 48.

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The area of the tile is 48 square cm. John wants to make the mosaic with this tile having the length 2 cm longer than the width.

Let the width of the rectangle mosaic is w cm. Thus, the length of it is,

[tex]l=w+2[/tex]

As the area of a rectangle is the product of its length and width and Tte area of the tile is 48 square cm. Thus,

[tex]A=l\times w\\48=(w + 2)\times w \\48=w(w+2)\\w(w+2)=48[/tex]

The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic is

[tex]w(w+2)=48[/tex]

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Answer:

B. w(w + 2) = 48

Step-by-step explanation:

I just took the quiz.

Have the day you deserve :)

Answer:

  a. (A, B, C) = (90°, 65°, 25°)

  b. BCD = 155°

Step-by-step explanation:

The interior acute angles of the right triangle can be found by writing an equation representing the relation between them. The exterior angle can be found using the relations between exterior angles and interior angles.

__

Angle A is given as a right angle, so measures 90°. Let C represent the measure of angle C in degrees. Then angle B has measure 3C-10. Those two angles are complementary, so ...

  C +(3C-10) = 90

  4C = 100

  C = 25

  B = 3(25) -10 = 65

The angle measures are ...

__

Angle BCD is the exterior angle adjacent to interior angle C. As such, it is supplementary to angle C:

  BCD = 180° -C = 180° -25° = 155°

An exterior angle is equal to the sum of the remote interior angles. That means ...

  BCD = A +B = 90° +65° = 155°

_____

Additional comment

An exterior angle is equal to the sum of the remote interior angles, because both the exterior angle and the sum of the remote interior angles are supplementary to the adjacent interior angle. Angles supplementary to the same angle have the same measure.

Answer:

part b is 155

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The second option is the answer

Hope this helps :)

Apply Pythagorean theorem

So

Answer:

√(122)

Step-by-step explanation:

Pythagoras Theorem:  a² + b² = c²

(where a and be are the legs, and c is the hypotenuse, of a right triangle)

First, find the length of the hypotenuse of the triangle with legs of 9 and 5 units:

⇒ 5² + 9² = c²

⇒ 25 + 81 = c²

⇒ c² = 106

⇒ c = √(106)

Therefore √(106) is the longest leg of the other triangle.

So we can now use this measurement to find x (the hypotenuse) of the other triangle:

⇒ 4² + √(106)² = c²

⇒ 16+ 106 = c²

⇒ c² = 122

⇒ c = √(122)

Answer:

Step-by-step explanation:

The kinetic energy that the coaster must have before it goes up is: 13.3megajoules.

Kinetic energy refers to the energy that a body possesses due to its motion. It's known to be the energy needed to move a body of a given mass from rest to its stated velocity.

We can calculate the kinetic energy of the Kingda Ka roller in the following way:

K.E = Potential Energy

K.E = mgh

Where: m = mass = 9750

g = acceleration due to gravity = 9.8m/s²

h = height = 139m

Thus: K.E = 9750 x 139 x 9.8 = 13,281,450J

= 13.3megajoules.

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Answer:

B and D    

Step-by-step explanation:

in D 15x+9=15x+9

in B x=0

Answer:

Adjacent, x = 60°

Step-by-step explanation:

Adjacent angles are pairs of angles next to each other. Vertical angles make an x shape, are across from each other, and have the same measure. These are adjacent angles.

This is a 90° angles, which is signified by the little red box. To solve for x, make an equation by adding the two angles together and set them equal to 90.

x - 30 + x = 90

2x - 30 = 90

2x - 30 + 30 = 90 + 30

2x = 120

2x/2 = 120/2

x = 60°

Here, the angles x° and (x - 30)° both are complementary angles, so they will add upto 90°, thus we can obtain a equation as ;

[tex]{:\implies \quad \sf x^{\circ}+(x-30)^{\circ}=90^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2x^{\circ}-30^{\circ}=90^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2x^{\circ}=120^{\circ}}[/tex]

[tex]{:\implies \quad \sf x^{\circ}=\dfrac{120^{\circ}}{2}=\bf \boxed{60^{\circ}}}[/tex]

Hence, the required value of x is 60

Answer:

6 meters

Step-by-step explanation:

radius is half of diameter

Answer:

The answer is 2

-16/-8=2

The area of the sandbox is 5 x 5 = 25 square feet.

the cost of the sand = 25 square feet x 1.47 = $36.75

Answer: $36.75

Answer:

36.75

Step-by-step explanation:

5*5=25 ft^2

(area)

25*1.47=36.75

sand cost

Answer:

x=4 + y/7

y= -28 + 7x

Step-by-step explanation:

The line RS would extend in both direction, while the ray TV would extend in one direction

A line is an undefined term of geometry; and it can only be defined through examples. However, the general notion is that a line extends in both directions without end

Rays are extracts from a line; that have a fixed point and an endless point

Using the above definitions, we can draw the line RS such that the point T is located on line RS and the point T extends to point V to form a ray TV

See attachment for the diagram

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Answer:

(3,-3) (5,-3) (3,-6)

Step-by-step explanation:

y=-1 is now a horizontal line passing through the point (0,-1)

I hope this helps!!

Answer:

Question 1 )

given ,

height of cylinder = 9 cm

diameter of cylinder = 10 cm

[tex]\dashrightarrow \: radius = \frac{10}{5} \: cm \\ [/tex]

now ,

[tex]Volume \: of \: cylinder = \pi \: r {}^{2} h \\ \\ substitutng \: the \: values \: of \: h \: and \: r \: \\ \\ \dashrightarrow \: \pi \: \times (\frac{10}{2} ) {}^{2} \times 9 \\ \\ \dashrightarrow \: \pi \: \times 25 \times 9 \\ \\ \dashrightarrow \: 225\pi \: cm {}^{3} [/tex]

therefore ,

option (C) is correct.

______________________________________

______________________________________

Question - 2 )

dimensions of the rectangular prism are 2 × 3 × 4

[tex]Lateral \: surface \: area = 2h(l + b) \\ \\ \dashrightarrow \: 2 \times 3(4 + 2) \\ \\ \dashrightarrow \: 6(6) \\ \\ \dashrightarrow \: 36 \: cm {}^{2} [/tex]

hope helpful :D

The volume of the cylinder is 225 [tex]\rm cm^3[/tex]  and the lateral surface area of the rectangular prism is 36 square cm.

It is given that the radius of the cylinder is 10 cm and height is 9 cm.

It is required to find the volume of the cylinder.

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of a cylinder given by:

[tex]\rm V = \pi r^2 h[/tex]

We have diameter = 10 cm

Radius r = 10/2 = 5 cm

and height h = 9 cm

Volume will be:

[tex]\rm V= \pi \times5^2 \times 9[/tex]

V = 225π cubic cm

For the lateral surface area = 2h(l+b)

= 2×3(4+2)

= 36 square cm

Thus, the volume of the cylinder is 225 [tex]\rm cm^3[/tex]  and the lateral surface area of the rectangular prism is 36 square cm.

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Answer:

3 cups. 15 cookies to 1 cup of flour.

Step-by-step explanation:

The answer is 3 cups. The first thing you do is find the unit rate. Divide 30 by 2 and you know that 1 cup of flour makes 15 cookies. Then divide 45 by 15 which is 3 and which tells you that 3 cups of flour makes 45 cookies.

Answer:

871 miles

Step-by-step explanation:

737/11= 67

67 x 13= 871

Answer:

5 books per month

Step-by-step explanation:

We are trying to find a rate.

To find books per month, we would take the number of books and divide it by the number of months.

This would give us 10 books/2 months.

10/2 simplifies to 5.

Therefore the answer would be 5 books per month.

Answer:

You need to divide it I don't have a calculator because my mom don't want me to calculate she let me to calculate it on my brain btw please brainless me

Answer:

w = 60

Step-by-step explanation:

the midsegment SU is half the measure of side RV, then

SU =  RV , so

w - 30 =  w ( multiply through by 2 to clear the fraction )

2w - 60 = w ( subtract w from both sides )

w - 60 = 0 ( add 60 to both sides )

w = 60

Answer:

58.55Kg

Step-by-step explanation:

450 in Kg is 0.45.

0.45 + 4.5 = 4.95. 4.95 + 53.6 = 58.55.

Answer: I'm sorry is this a real question

The value of x is not one of the options listed. However, if we round to the nearest tenth, we get x = 2.9, which is closer to option B, 2.5. But none of the options match the exact value of x.

What is an arithmetic operation?

Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.

To solve for x, we need to isolate it on one side of the equation.

We can isolate x by dividing both sides of the equation by 20:

x(20) / 20 = 58 / 20

Simplifying:

x = 2.9

Therefore, the value of x is not one of the options listed. However, if we round to the nearest tenth, we get x = 2.9, which is closer to option B, 2.5. But none of the options match the exact value of x.

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