Fill in the blank with the equations for each interval of 5 units listed beside it. Then answer the questions

Answer:

3/10

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

I think that is the answer if not sorry, have a nice day!

Pls pick me as brainliest!

Answer:

y= -3/4

Step-by-step explanation:

The y-intercept of the line perpendicular to the line  [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point (-3, -3) is, 1

The equation of a line in point-slope form passing through the points

[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] with slope m is defined as;

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Given that,

The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex] that includes the point

(-3, -3).

Let us assume that the slope of perpendicular lines is m₁ and m₂.

Hence,

[tex]m_1 \times m_2 = - 1[/tex]

Here, The line perpendicular to the line [tex]y = \frac{-3}{4} x + 5[/tex]

The equation of perpendicular line is,

[tex]y = \frac{-3}{4} x + 5[/tex]

Slope = [tex]\frac{-3}{4}[/tex]

Hence, the slope of the line is,

[tex]m = \frac{- 1}{\frac{-3}{4} }[/tex]

[tex]m = \frac{4}{3}[/tex]

Since, the line includes the point (-3, -3).

Hence, the equation of the line with slope [tex]m = \frac{4}{3}[/tex] includes the point (-3, -3) is,

⇒ [tex]y - y_1 = m (x - x_1)[/tex]

⇒ [tex]y - (- 3) = \frac{4}{3} (x - (- 3))[/tex]

⇒ [tex]y + 3 = \frac{4}{3} (x +3)[/tex]

Multiply by 3 on both sides,

⇒ [tex]3 (y + 3) = 4 (x + 3)[/tex]

⇒ [tex]3y + 9 = 4x + 12\\[/tex]

⇒ [tex]3y = 4x + 3[/tex]

⇒ [tex]y = \frac{4}{3} x + 1[/tex]

So, the y-intercept is, 1

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Answer:

The measure of ∠MCK is 45°

Step-by-step explanation:

The parameters given are;

ΔABC with hypotenuse side AB

Let AB = x

BC = y

AC = z

∴ x² = y² +  z²

∠BCM = ∠CMB  (Base angles of isosceles triangle ΔBMC)

Similarly, ∠ACK = ∠AKC (Base angles of isosceles triangle ΔKAC)

∴ ∠BCM + ∠CMB + ∠CBM = 180° (Sum of interior angles in a triangle)

Hence, 2 × ∠BCM + ∠CBM = 180°........(1)

Similarly, 2 × ∠ACK + ∠CAK = 180°......(2)

Hence, 2 × ∠BCM + ∠CBM = 2 × ∠ACK + ∠CAK

However, ∠CBM + ∠CAK + 90° = 180° (Sum of angles in right triangle ΔABC)

∴∠CBM + ∠CAK = 180° - 90° = 90°

Adding equations (1) and (2), we have;

2 × ∠BCM + ∠CBM + 2 × ∠ACK + ∠CAK = 180° + 180° = 360°

Which gives;

2 × ∠BCM + 2 × ∠ACK + ∠CBM + ∠CAK = 360°

Where;

∠CBM + ∠CAK = 90°, we have;

2 × ∠BCM + 2 × ∠ACK + 90° = 360°

∴ 2 × ∠BCM + 2 × ∠ACK = 360° - 90° = 270°

∠BCM + ∠ACK = 270°/2 = 135°

∠BCM = ∠CMB

∴ ∠CMB + ∠ACK = 135°

Also, ∠CMB = ∠CMK and ∠ACK = ∠MCK

Hence, ∠CMK + ∠MCK  = 135°

However, ∠CMK + ∠MCK + ∠MCK = 180° (Sum of interior angles in a triangle)

Which gives;

∠CMK + ∠MCK + ∠MCK = 135° + ∠MCK = 180°

∴ m∠MCK = 180° - 135° = 45°.

The measure of ∠MCK, m∠MCK = 45°.

Answer:

sure, what questions?

Step-by-step explanation:

Answer:

Sure what are the question

Step-by-step explanation:

Answer: 3.3%

Step-by-step explanation:

Amount = prt / 100

3075.21 = (2152 x r x 13)/100

Answer:

the answer is letter c

Step-by-step explanation:

Answer:

317 IS THE ANSWER

Step-by-step explanation:

The right answer is 317

please see the attached picture for full solution.

hope it helps

good luck on your assignment

Answer:

d

Step-by-step explanation:

because what is 24 meters- 24meters=0

Answer:

x = - 5, x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

(2x - 1)(x + 5) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

Answer:

x = - 5, x = 1/2

Step-by-step explanation:

(2x - 1)(x + 5) = 0

x + 5 = 0 so x = - 5

2x - 1 = 0 so 2x = 1 so x = 1/2

Answer:

The equation for this function in point slope form: y = -3x+47

Step-by-step explanation:

We are given that a swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour.

Slope is the rate of change per unit represented by m

So, m = -3

General equation : y = mx+c ----1

y represents the depth of water

t represents the time

The depth of the water after 5 hours is 32 inches.

So, y =32 and x =5

Substitute the values in the equation

So,32=-3(5)+c

32=-15+c

32+15=c

47=c

Substitute the value of c and m in 1

So, The equation for this function in point slope form: y = -3x+47

Answer:

radius

Step-by-step explanation:

AJ is half the distance across the circle (radius).

[tex]y=-4+11=7\\y=7\\3x+7=9\\x=2/3[/tex]

Answer:

63 toys.

Step-by-step explanation:

45 increased 40 percent

45(1.4)

63

63-45=18

The toy shop needs to sell 18 more toys in october, for a total of 63 toys.

Hey there! I'm happy to help!

The perimeter is all of the sides of a shape added up.

Since all of the sides on a square are the same and we know one side, we just multiply it by four.

2.59(4)=10.36

Therefore, the patio is about 10.56 meters.

I hope that this helps! :D

Answer:

The best estimate is 10. Trust me, I did this assessment too.

Step-by-step explanation:

2.59 x 4 = 10.36. So it's 10.

Answer:

Since the y-intercept is 400 and the y value fourths for every increase of 2 in x, the equation is y = 400 * (0.5)^x.

Answer:

2.5

Step-by-step explanation:

In the pic below

Answer:

2x + 3

Step-by-step explanation:

Given

(x² + 7x + 1) + (- x² - 5x + 2) ← remove parenthesis

= x² + 7x + 1 - x² - 5x + 2 ← collect like terms

= 2x + 3

Answer:

2x+3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A is false. 0 + 1 - 2 = -1, not 0.

B is true.

(-2)-(-2) +0

= -2 + 2 + 0

= 0

C is false, since B is true.

Equation B 0=(-2)-(-2) +0 is true, which is simplified by subtraction.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

For equation A:

0 = 0+1-2

We can simplify the right-hand side of the equation by combining like terms:

0 = -1

This is not true, so we might be tempted to say that equation A is false.

For equation B:

0 = (-2)-(-2) + 0

We can simplify the right-hand side of the equation by performing the subtraction:

0 = 0 + 0 + 0

This simplifies to:

0 = 0

This equation is true.

Therefore, equation B is true.

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The final statement is: The property of distribution is used in the given expression.

According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Given here: (x + y)(2 + z) = 2(x +y) + z(x + y)

Clearly 2 and z get distributed over (x+y)

We usually use the distributive property because the two terms inside the parentheses can’t be added because they’re not like terms

Thus this is the distributive property of multiplication.

Hence, Distributive property is the correct option.

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Hi!

So, the car travels for 3 hours at 50 miles an hour.

That makes 150 miles.

Then, 40 miles per hour for 7 hours.

That makes 280 miles.

Add it together to get 430 miles

Answer:

20

Step-by-step explanation:

Let x represent the number of movies bought/downloaded

3x + 10 = 2x +30

Subtract 2x and 10 from both sides

x = 20

Answer:

3x + 10 = 2x + 30

Step-by-step explanation:

Let the number of movies downloaded = x

Movie time:

3x + 10

Movie city:

2x +30

3x + 10 = 2x + 30

3x -2x = 30 - 10

x = 20

Answer: -920

Step-by-step explanation:

-447 - 473 = -920

In this case, smaller means more negative

Answer:

-920

Explanation:

To solve this problem, you simply need to subtract 473 by negative 447. Here is how you solve:

-447 - 473

- (447 + 473)

-920

Therefore, the new dot was on -920.

Answer:

13 square units

Step-by-step explanation:

The area of the parallelogram is 13 square units

The area of a parallelogram is the product of the height and the base of the parallelogram

Assume the parallelogram has the following properties

Base = 6.5 units

Height = 2 units

The area of the parallelogram is calculated as:

Area = Base * Height

So, we have:

Area = 6.5 units * 2 units

Area = 13 square units

Hence, the area of the parallelogram is 13 square units

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Answer:

[tex]72[/tex]

Step-by-step explanation:

Jeremy is [tex]x[/tex] years-old.

Jeremy's grandfather is [tex]4x[/tex] years-old.

Adding their ages together will get [tex]90[/tex]

[tex]4x+x=90\\5x=90\\x=90 \div 5\\x=18[/tex]

Jeremy's grandfather age would be:

[tex]4x\\4(18)\\72[/tex]

Answer: 72

Step-by-step explanation:

Let Jeremy age be x

Granfather' age is 4x

x + 4x = 90

5x = 90

x = 90/5 = 18

Jeremy' age is 18

Granfather age is 4x = 4*18 = 72

Answer:

10,000

Step-by-step explanation:

3 years x 20% = 60%

60% of 25000 is 15000

25000 -15000 =  10,000

Answer:

4 in

4√2 in

Step-by-step explanation:

Part A

Missing angle= 90°-45°=45°

Missing leg = 4 in as opposite angles are equal

Part B

According to Pythagorean theorem

Hypotenuse²= (4in)²+(4in)²= 32 in²

c=√32 in²= 4√2 in

Answer:

C

Step-by-step explanation:

x-intercept occurs when y=0.

2x -3y= 8

When y=0,

2x -3(0)= 8

2x= 8

x= 8 ÷2

x= 4

Thus the coordinates is (4,0).