An electrician charges $40 per hour for service calls up to eight hours, but increases this rate by 50% for additional hours. The electrician will not work more than twelve hours per service call and also charges a $25 trip charge. The graph provides a visual for customers. If the electrician doubles the normal hourly rate, and still increases the rate by 50% for additional hours, how will the graph change? A) The y-intercept will be (0, 50), the slopes of the line segments will 40 and 60, and the range will be [50, 1170]. B) The y-intercept will be (0, 25), the slopes of the line segments will 80 and 120, and the range will be [25 1170]. C) The y-intercept will be (0, 50), the slopes of the line segments will 80 and 120, and the range will be [50, 1145]. D) The y-intercept will be (0, 25), the slopes of the line segments will 80 and 120, and the range will be [25, 1145].

Answer:

a = 170

Step-by-step explanation:

0.3a = 51

a = 51 : 0.3

a = 51 : 3/10

a = 51 x 10/3

a = 510/3

a = 170

0.3x170 =

= 3/10x170

= 510/10

= 51

Answer:

a= 170

Step-by-step explanation:

[tex]0.3a = 51 \: [/tex]

[tex]a = \frac{51}{0.3} = 170 \: [/tex]

To verify:

LHS = 0.3 a = 0.3× 170= 51 = RHS

Answer:

[tex]32[/tex]

Step-by-step explanation:

6p^2+4p, if p=2

[tex]6(2) {}^{2} + 4(2) \\ = 6 \times 4 + 4 \times 2 \\ = 24 + 8 \\ = 32[/tex]

Answer:

b

Step-by-step explanation:

You would have twice as many hot dogs and 24 is two times 12 and if you add them you get 36.

Answer:

mirror 4

Step-by-step explanation:i just did the quiz and got it right

Answer:D

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of the angle ∠VUW is 26° and ∠VUX will be 116°.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circular objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

Given the circle

Since ∠UOV is 128°

So,

∠UOW = 180 - ∠UOV

∠UOW = 180 - 128 = 52°

Now,

∠VUW = 1/2 ∠UOW

∠VUW = (1/2)52 = 26°

Now ∠VUX = ∠VUW + 90°

∠VUX = 26 + 90 = 116°

Hence "The value of the angle ∠VUW is 26° and ∠VUX will be 116°".

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Answer: The answer is D: y=2/5x

Step-by-step explanation:

Let y represent the number of laps George runs, and x the number of minutes it takes him to run those laps. We know that it it takes George 25 minutes to run 10 laps; therefore, the number of laps George runs per minute is 10/25 which is equal to 2/5.

(Make sure you keep your promise(s) lol.)

Answer:

37.5 cm 2

Step-by-step explanation:

The area of the first figure, the rectangle is 30cm2. The base which is 5cm, times the height which is 6cm equals 30cm2. The triangle's area is 7.5cm2 because the height which is 3cm times the base which is 5cm equals 15cm. Because it's a triangle tho, we have to find half of it which  7.5cm2. 30cm2+7.5cm2 equals 37.5cm2.

Answer:

23 and 7

Step-by-step explanation:

Multiply 23 and 7 to get 161. Subtract 7 from 23 and get 16

Answer: 23 and 7

Step-by-step explanation: When you multiply 23 x 7, you will get the answer 161.

Answer:

Two adults and five children

Step-by-step explanation:

(3.75×5)+(5.25×2) = 29.25

  18.75  +   10.5     = 29.25

(:

Answer:

8

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

subtract diffrences

Answer:

[tex]cos(\beta)=\frac{\sqrt{6}}{3}}[/tex]

Step-by-step explanation:

we know that

If the terminal ray of β lies in the fourth quadrant

then

sin (β) is negative and cos (β) is positive

Remember the trigonometric identity

[tex]sin^2(\beta)+cos^2(\beta)=1[/tex]

we have

[tex]sin(\beta)=-\frac{\sqrt{3}}{3}[/tex]

substitute

[tex](-\frac{\sqrt{3}}{3})^2+cos^2(\beta)=1[/tex]

[tex]\frac{3}{9}+cos^2(\beta)=1[/tex]

[tex]cos^2(\beta)=1-\frac{3}{9}[/tex]

[tex]cos^2(\beta)=\frac{6}{9}[/tex]

apply root square both sides

[tex]cos(\beta)=\frac{\sqrt{6}}{3}}[/tex]

Answer:

2 Nd one

Step-by-step explanation:

Got it right

Answer:

B.    (x – 2)² + (y + 8)² = 121

Step-by-step explanation:

Answer:

1.  Solve small triangle

2. 180-90-57=33

3.solve medium triangle

4. E=33

5.C=90

6.180-90-33=57

7.B=57

8. solve big triangle

9.A=34

10.F=57

11.D=90

Answer:

c = 34

Step-by-step explanation:

x = [-19 +/- sqrt(19² - 4(1)(c)]/2

x = [-19 +/- sqrt(361 - 4c)]/2

The difference of the roots would be:

sqrt(361 - 4c) = 15

361 - 4c = 15²

361 - 225 = 4c

4c = 136

c = 34

Answer:

[tex]a = \frac{v - u}{t} \: [/tex]

Step-by-step explanation:

[tex]v = u + at[/tex]

[tex]at = v - u[/tex]

[tex]a = \frac{v - u}{t} [/tex]

Answer:

The median is 29

Step-by-step explanation:

So you have to cross out 12 then 2 then 33 then 4 then 18 then 17 then 28 then 12 and the last number that's standing is 29.

Answer:

angle A = 166 degrees

Step-by-step explanation:

so first you have to look at the problem and see what type of relationship the angles have. so if you draw it out yourself, it makes it a little easier and you can see that the two angles are corresponding angles, which means theyre both congruent or, equal.

after you find that out you can set up an equation so,

7x + 40 = 3x + 112

you do the math...

4x + 40 = 112

4x = 72

x = 18

but you cant stop here, you have to plug in x to find teh entire angle A

7 (18) + 40 = ?

126 + 40

166

bam.

Answer:

22.90 is the answer i can't write somet

use my computer has problems

I = P*r*t = 800*0.06*2 =

Answer:

8

Step-by-step explanation:

$30 - $6 for the magazine = $24 ÷ $3 for one candy bar = 8 candy bars

Answer:

8 candy bars

Step-by-step explanation:

6 + 3x = 30

3x = 24

x = 8

Answer:

y = 1/3x -3

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

i just got it right on edge

The standard deviation of sample data is "[tex]s = \sqrt{\frac{(x_1 -\bar{x})^2+ (x_2-\bar{x})^2 + ..... + (x_n -\bar{x})^2}{ n- 1}}[/tex]"

Random variables, samples, statistical populations, information sets, or probabilistic distributions are equal to the square root of its variance.

It's much less resilient in reality than the average absolute deviation, but it makes algebraic expressions easier.

A sampling divided by the size of the data set is less than one, n - 1. To get the standard deviation, take the square root of the variance. The standard deviation is obtained by taking the square root of the standard deviation.

Therefore, the standard deviation of sample data is "[tex]s = \sqrt{\frac{(x_1 -\bar{x})^2+ (x_2-\bar{x})^2 + ..... + (x_n -\bar{x})^2}{ n- 1}}[/tex]"

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Answer:

the sum of the first 10 terms is: 79.921875

Step-by-step explanation:

Notice that this is a geometric series, of the sequence that has "40" as the first term, and the following ones are obtained by multiplying by the common ratio "1/2".

So the common ratio [tex]r=\frac{1}{2}[/tex], and the first term [tex]a_1=40[/tex], then, recalling the formula for the partial sum of n terms of a geometric sequence:

[tex]S_n=\frac{a_1\,(1-r^n)}{1-r}[/tex]

we can find the sum of this sequence's first 10 terms (n=10):

[tex]S_n=\frac{a_1\,(1-r^n)}{1-r} \\S_{10}=\frac{40\,(1-(\frac{1}{2}) ^{10})}{1-\frac{1}{2} } \\S_{10}=79.921875[/tex]

Answer:

the answer is A C and D if you’re using edu.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

100-60=40

Answer:

40

Step-by-step explanation:

Range is the difference between the highest value, and the lowest value

The image triangle compare to the pre-image triangle will be similar due to dilation.

Step-by-step explanation:

As given in the question ,the sequence of transformation undergone by a triangle are :-

Due to the process of  dilation, the two triangles will be similar. Another important factor is that the  scale factor is less than one and is a reduction, thus, the image  will be smaller than the pre-image but the triangle will be similar

The  transformations mentioned in the above statement altered the position and scale of the triangle, but the angle measures of both the triangle remains the same.

Thus we can say that

The image triangle compare to the pre-image triangle will be similar due to dilation.

Answer:

Sample Response: Because there was a dilation, the two triangles will be similar. The scale factor was less than one, so the image will be smaller than the pre-image.

Step-by-step explanation:

edge ;)

Step-by-step explanation:

The answer is 2 : 3 because the value of a is 2 and c is 3

Answer:

100+50²=2600

Step-by-step explanation:

because 50x2=100 and 50² is 2500. Add those and you get 2600.

The number of bacteria Caleb and Jenna each have in their experiments is 2600.

Given that, Caleb started with 50 bacteria for his science experiment, and the number of bacteria doubled in one day.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The number of bacteria doubled

= 2×25=50

The number of bacteria was equal to 50 to the second power

= 50²

= 2500

So total = 2500+100=2600

Therefore, the number of bacteria Caleb and Jenna each have in their experiments is 2600.

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Answer:

$63.00

Step-by-step explanation:

$60 * 5%  or  $60 * 0.05 = $3.00

$60 + $3 = $63.00

Answer:

its the third box

Step-by-step explanation:

i got it right

The area of the given isosceles triangle with 13 cm and 10 cm base will be 60 square cm.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

An isosceles triangle is a triangle in which two sides are the same.

The given isosceles triangle has been drawn below,

The area of a triangle is given as (1/2) × base × height.

Height = √(13²  - 5²) = 12

Area = (1/2) × 10 × 12 = 60 square cm.

Hence "The area of the given isosceles triangle with 13 cm and 10 cm base will be 60 square cm".

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To find the area of an isosceles triangle with given side lengths, use the Pythagorean theorem to find the height. Then, apply the formula for the area of a triangle using the base and the calculated height. The area of the given isosceles triangle is 60 square centimeters.

To find the area of an isosceles triangle with a base of 10 cm and two equal sides of 13 cm, we first need to determine the height of the triangle. We can use the Pythagorean theorem to find the height (h).

Since the base splits the isosceles triangle into two right triangles, each having a base of 5 cm (half of 10 cm) and a hypotenuse of 13 cm:

Using the Pythagorean theorem:

→ Hypotenuse (hyp) = 13 cm

→ Base/2 (base) = 5 cm

→ Height (h) = ?

→ hyp² = base² + h²

→ 13² = 5² + h²

→ 169 = 25 + h²

→ h² = 169 - 25

→ h² = 144

→ h = √144

→ h = 12 cm

Now that we know the height, we can use the formula for the area of a triangle:

→ Area = 1/2 × base × height

→ Area = 1/2 × 10 cm × 12 cm

→ Area = 5 × 12

→ Area = 60 square centimeters