Which of the following options are examples of how you can name the angle?

The gradient is -4/5, so the equation is of the form

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

Substituting in the coordinates (4, -2),

[tex]-2=-\frac{4}{5}(4)+c \\ \\ c=\frac{6}{5} \\ \\ \therefore y=-\frac{4}{5}x+\frac{6}{5}[/tex]

62°

A line is a simple, one-dimensional shape that can go on forever in the opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.

When the ends of two rays collide at a single location, an angle is the geometry that results. They are measured in degrees (°) or radians. A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠"

∠1+∠2 = 35° +27°

             =62°

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Answer: 12:2, 18:3, 24:4

Step-by-step explanation: You can multiply 6 by 2, 3, and 4 because the graph has 4 columns. Then multiply the top by 2, 3, and 4,

Answer: Find step-by-step Probability solutions and your answer to the following textbook question: The velocity (v metres per second) of a body is known to be proportional to the square root of its kinetic energy (e j.) I don't know if this will help

Step-by-step explanation:

Answer: I believe the answer is 86.884

Step-by-step explanation:

Answer:

Multiplicative inverse or reciprocal.

Step-by-step explanation:

Multiplicative inverse or reciprocal.

The box of chocolates which contain 12.5% caramels has C. 40 pieces of chocolate in the box.

To solve this exercise the percentage formula and the procedure to be applied is as follows:

n= (% * nt) / 100

Where

Information about the problem:

Using the percentage formulate and isolating the total of the number portion (nt), we get:

n= (% * nt) / 100

nt = (n*100) / %

nt = (5 * 100) / 12.5

nt = 40

C. There are 40 pieces of chocolate in the box.

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

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Answer: The cat has left over the milk is 3.625 cups

Step-by-step explanation:

Amount of cups of milk=3(7/8) cups

That means, 3(7/8) cups= 31/8 cups

Amount of milk cat gave=1/4 cups

The amount of left over the milk :

Subtract with this values

=(31/8) -(1/4)

=3.875-0.25

=3.625

The cat has left over the milk is 3.625 cups

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Answer:

It would still be 1408

Step-by-step explanation:

There are no decimal points to round to the nearest hundreth

Answer:

1408.00

Step-by-step explanation:

1408.00    ==>the underlined digit which is 1 digit away from the decimal is the hundredth digit.

Using Distributive Property, the product of 6x13 is 78.

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

The steps of distributive property are -

                                                 6 × 13

                                              6 × (10 + 3)

                                          (6 × 10) + (6 × 3)

                                  ((3 + 3) × (5 +5)) + ((3 + 3) × 3)

                 (3 × 5 + 3 × 5 + 3 × 5 + 3 × 5 ) + ((3 × 3) + (3 × 3))

                                     (15 + 15 +15 + 15 ) + (9 + 9)

                                                  60 + 18

                                                    = 78

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Answer: y=-8x+3

Step-by-step explanation:

Parallel lines have the same slope.

y=-8x+b

-5=-8(1)+b

-5=-8+b

b=3

y=-8x+3

Reason:

Odd degree polynomials do not have an absolute max nor absolute min. The curve stretches forever upward and downward. The range is the set of all real numbers.

Even degree polynomials on the other hand do have a highest point or lowest point, depending on the leading coefficient. If the leading coefficient is negative, then the curve has a highest point. If the leading coefficient is positive, then the curve has a lowest point.

Example: y = x^3 does not have an absolute max, but y = -x^2 does.

The required requirement of the density curve is should be equal to 1 and the ordinate should not be zero.

Given that,
Two requirements of a density curve are to be determined.

A density curve is defined as a curve on a graph that represents the distribution of values in a dataset.

Here,

The two requirements of a density curve should be,

a. The area under the density curve should be equal to 1.

b. The ordinate of the curve should not be zero i.e. they should always have the vertical height.

Thus, the required requirement of the density curve is mentioned above.

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The consecutive even integers are 8, 10 and 12.

Let the integers be x, x + 2, and x + 4.

Therefore, the equation will be:

6(x) = x + 2 + x + 4 + 26

6x = 2x + 32

Collect like term

6x - 2x = 32

4x = 32

Divide

x = 32/4.

x = 8

The numbers are 8, 10 and 12.

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10 m/s can be expressed as 36km/h.

Here, we are given an expression for speed, that is: 10 meter per second.

Now, as per the rules of mathematics,

1 kilometer = 1000 meters

⇒ 1 meter = 1/1000 kilometers

or 1 meter = 0.001 kilometers

and also, 1 hour = 60 mins

and 1 min = 60 seconds

⇒ 60 mins = 60 × 60 seconds

= 3600 seconds

Thus, 1 hour = 60 mins = 3600 seconds

⇒ 1 second = 1/3600 hours

Now, we need to convert meter per second into kilometer per hour,

1 meter/ 1 second =  [tex]\frac{0.001}{\frac{1}{3600} }[/tex]

= (0.001 × 3600)/ 1

= 3.6

This 1 meter per second = 3.6 kilometer per hour

⇒ 10 meter per second = 3.6 × 10 = 36 kilometers per hour

Thus, 10 m/s is 36km/h.

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Answer: 116 61/100 miles

Step-by-step explanation: Road trip is 245 7/50 miles long

They have already driven 128 53/100

Those are mixed fraction. To facilitate the calculation, we should transform them into improper fractions (numerator > denominator)

245 7/50 = (50*245+7)/50 = 12257/50

128 53/100 = 12853/100

To find out much farther they have to drive, we need to subtract how much they have already driven to the total lenght of the trip:

12257 - 12853 = 24514 - 12853 = 11661

50         100             100                100

They still have 11661/100 to drive. In mixed fraction:

116 61/100 miles

The cost of renting the bike will rise at a rate of (B) $2.5 per hour as the number of rent hours increases.

To find what is the rate of change in the cost to rent the bike with respect to the number of rent hours:

Therefore, the cost of renting the bike will rise at a rate of (B) $2.5 per hour as the number of rent hours increases.

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The correct question is given below:

To rent a bike, Max pays a flat rate of $5 plus an hourly rental fee. The graph shows the amount, C, in dollars, that Max pays based on the number of hours, t, that Max rents the bike. What is the rate of change in the cost to rent the bike with respect to the number of rental hours?

(A) $5 per hour

(B) $2.50 per hour

(C) $2 per hour

(D) $7.50 per hour

Applying the angle addition postulate, the measure of angle ROS is: 16°

Given the following angle measures:

m<QOS = 49°

m<POR = 56°

m<POQ = 23°

Find the measure of  angle QOR:

m<QOR = m<POR - m<POQ [angle addition postulate]

Substitute the values into the equation

m<QOR = 56 - 23

m<QOR = 33°

Find the measure of angle ROS:

m<ROS = m<QOS - m<QOR [angle addition postulate]

Substitute the values into the equation

m<ROS = 49 - 33

m<ROS = 16°

Therefore, applying the angle addition postulate, the measure of angle ROS is: 16°

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The length of the rectangle garden is 15 meters and the width of the rectangle garden is 10 meters.

Perimeter of the rectangle:

Perimeter of the rectangle is defined as the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides.

The formula for perimeter of the rectangle is,

P = 2 (a + b) units

where

“a” is the length of the rectangle

“b” is the breadth of the rectangle

Given,

A rectangle garden has a length of 5 less than 2 times the width.

The perimeter if 50 meters.

Here we need to find the side lengths of the rectangle garden.

Let w be the width of the garden.

According to the given details, the length is

l =2w - 5

Now apply the values on the perimeter formula,

Then

=> 2 ((2w - 5) + w) = 50

=> 2 (3w - 5) = 50

=> 3w - 5 = 25

=> 3w = 30

=> w = 10 meters.

Apply the value of width on the equation to find the length of the garden.

=> l = (2 x 10) -5

=> l = 20 - 5

=> l = 15 meters.

Therefore, the length of the garden is 15 meters and the width of the garden is 10 meters.

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Answer:

Answer 2 1/7 +3/7(3x-5)= -4

            2 1/7 + 9/7x-15/7= -4

           0+ 9/7x = -4

               x= -28/9

Step-by-step explanation:

Answer:

option  3

Step-by-step explanation:

C: An expression that reads three times ten, plus four times one, plus five times one-tenth, plus six times one-hundredth, plus seven times one-thousandth

Answer:

- 4+23e

Step-by-step explanation:

The correlation is a significant non-zero value.

The number of samples is n.

n = 25

The correlation of the coefficient is r.

r = -0.40

When correlation is significant,

[tex]H _{0} : p = 0[/tex]

When correlation is non-zero,

[tex]H _{ \alpha } : p ≠0[/tex]

The test statistic is,

[tex]TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } [/tex]

[tex] = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } [/tex]

[tex] = \frac{ - 1.918 }{ \sqrt{0.84} } [/tex]

= -2.093

The test statistic is -2.093.

The correlation is,

[tex]H _{ \alpha } : - 2.93 ≠0[/tex]

The correlation is not equal to zero and is significant.

Therefore, the correlation is a significant non-zero value.

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Answer:

electricity produced will be 3067202 watt

Step-by-step explanation:

solar panels yields 16.22 Watts per square feet

area of field= 305*620   [area=length*breath]

=189100

electricity produced will be

189100*16.22

=3067202 watt

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Answer:

The sum is negative because the number with the greatest value is negative.

Step-by-step explanation:

If the it's the same sign add, if not subtract.

8-3=5

keep the sign of the bigger number.

-5

Hope It Helps

Sorry If I'm Wrong

Answer: Yes

Step-by-step explanation:

The answer is negative. That is because you are adding three to negative 8.

Think about it. 8 is greater than three, right?

-8 + 3 = -5

You are bringing -8 closer to 0:

-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...

Bring -8 three spaces closer to 0. You get -5.

Hope this helps.

Answer: x=-1.75

Step-by-step explanation:

(6x +12) -2(x-7)= 19

6x+12-2x-(-14)=19

6x+12-2x+14=19

6x-2x+12+14=19

4x+26=19

4x+26-26=19-26

4x=-7

x=-7/4

x=-1.75

The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).

Herein we find an inequality that involves two absolute values. Absolute values are defined by the following piecewise functions:

Now we proceed to solve the inequality given:

||x - 4| - 7| < 5

- 5 < |x - 4| - 7 < 5

0 < |x - 4| - 2 < 10

|x - 4| - 2 > 0 and |x - 4| - 2 < 10

Case 1: |x - 4| - 2 > 0

|x - 4| > 2

x - 4 > 2 and x - 4 < - 2

x > 6 and x < 2

Case 2: |x - 4| - 2 < 10

|x - 4| < 12

x - 4 < 12 and x - 4 > - 12

x < 16 and x > - 8

The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).

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Answer:

2

Step-by-step explanation: