51- ax= - 10296(Type an integer or a simplified

Answer: 165 miles

Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.

Answer:

The answer is 165miles

Step-by-step explanation:

\(distance = speed \times time\)

d=55×3

d=165 miles

Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.

By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.

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The average rate of change of the function f(x) = x² + 4x - 2 over the interval [-8,3] is -1.

Given the function in the question;

f(x) = x² + 4x - 2

Interval -8 ≤ x ≤ 3

To find the average rate of change of the function f(x) = x² + 4x - 2 over the interval [-8,3],

we can use the following formula:

average rate of change =  \(\frac{f(b) - f(a)}{b - a}\)

Where a and b are the endpoints of the interval.

Substituting the values of a = -8 and b = 3 into the formula, we get:

average rate of change =  \(\frac{f(3) - f(-8)}{3 - (-8)}\)

We can now find the values of f(3) and f(-8) using the formula for f(x):

f(x) = x² + 4x - 2

f(3) = (3)² + 4(3) - 2

f(3) = 9 + 12 - 2

f(19) = 19

f(x) = x² + 4x - 2

f(-8) = (-8)² + 4(-8) - 2

f(-8) = 64 -32 - 2

f(-8) = 64 -34

f(-8) = 30

Hence:

average rate of change =  \(\frac{f(3) - f(-8)}{3 - (-8)}\)

\(=\frac{19 - 30}{3 - (-8)}\\\\=\frac{-11}{11}\\\\= -1\)

Therefore, the average rate of change is -1.

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Answer:

12:15

Step-by-step explanation:

girls:boys

12 to 15

even though 15 is first in the problem, the question is asking girls to boys not boys to girls

comment if u need me to explain more :)

Answer:

Slope=2.

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where

X1,y1,=(-5, -11) X2,y2=(6,11).

Slope=-11-11/-5-6

=-22/-11

=22/11

=2

Slope is 2

Answer:

2

Step-by-step explanation:

Here,

x₁ = (- 5) and x₂ = 6

y₁ = (- 11) and y₂ = 11

Now,

Slope

= y₁ - y₂ ÷ x₁ - x₂

= (- 11) - ( 11) ÷ (- 5) - ( 6 )

= - 11 - 11 ÷ - 5 - 6

= - 22 ÷ - 11

= 2 ÷ 1 = 2

Thus, Slope is 2

-TheUnknownScientist

Answer: The answer is 199.5

Given data:

The given expression is 156x687.

The given expression can be written as,

Thus, the value of the given expression is 107172.

The x-intercepts are (4,0)(5,0) of the following graph.

In the context of a graph, an x-intercept is a point where a curve or line crosses the x-axis. It is the point at which the value of y is zero. In other words, the x-intercept is the value of x when the function or equation crosses the x-axis.

To find the x-intercepts of a function, you can set y equal to zero and solve for x. The resulting values of x will be the x-intercepts.

In the context of a graph, a y-intercept is a point where a curve or line crosses the y-axis. It is the point at which the value of x is zero. In other words, the y-intercept is the value of y when the function or equation crosses the y-axis.

To find the y-intercept of a function, you can set x equal to zero and solve for y. The resulting value of y will be the y-intercept.

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Answer:

Boys :girls!

Step-by-step explanation:

Plz write complete question

Answer:

105

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Decimal calculation steps
(1101001)₂ = (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (105)₁₀

The amount after 6 years is $12,628.45

The formula for calculating the compound interest is expressed as:

I = PRT

Get the interest

I = 8950 * 0.0685 * 6

I = $3,678.45

Amount after 6 years  = 8950 + 3,678.45

Hence the amount after 6 years is $12,628.45

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Power is the rate of doing work, and the power of the generating plant or

turbine and the duration of generation, gives the energy generated.

The correct responses are;

Reasons:

Number of homes in the town = 3,000 homes

The given capacity of the power plant = 12 MW = 12,000 kW

Power consumed by a household = 8,000 kWh per year

The price for electrical energy = $0.10 per kWh

Number of wind turbines = 10

WFWP = The West Fremont Wind Project

Capacity of each wind turbine = 1.2 MW

Cost of each wind turbine for 25 years = $3 million

(a) Number of hours of operation of the power plant = 8,000 hrs/yr

Required:

The amount of kWh of electricity produced in a year by the plant.

Solution:

The energy produced = Power × Time

∴ The energy produced = 12,000 kW × 8000 hr = 96,000,000 kWh

Therefore;

The energy produced by the plant in a year, E = 96 × 10⁶ kWh

(b) Energy consumed = Energy consumed per home × Number of homes

Therefore;

Energy consumed = 8,000 kWh/home × 3,000 homes = 24,000,000 kWh

The energy the community consumes in one year = 24 × 10⁶ kWh

(c) The cost per kWh = $0.10

The cost, C, of the energy per year is therefore

C = 24,000,000 kWh × $0.10/kWh = $2,400,000

The cost for 25 years = 25 × C = 25 × $2,400,000 = $60,000,000

The number of wind turbines = 10

Cost per wind turbine = $3 million

Total cost to operate the 10 wind turbine = $3 million × 10 = $30 million

Energy consumed = 24,000,000 kWh

Therefore;

24,000,000 kWh × 25 = $30 million

\(\displaystyle 1 \ kWh = \frac{\$ 30 \ million}{25 \times 24,000,000 \ kWh} = \mathbf{\$0.05/kWh}\)

The cost to the community of the electricity supplied by WFWP over 25 years is $0.05/kWh.

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Step-by-step explanation:

x = -12

y = x/2 + 9

y = -12/2 + 9

y = -6 + 9

y = 3

Answer:

B. 3.710

Step-by-step explanation:

This number makes 7.706 smaller

Answer:

C

Step-by-step explanation:

The number of tips that the server gets is dependent on how many customers she serves.

Hope this helps!

Answer:

i dont understand

Step-by-step explanation:

but probably c

Answer: s is \(> 118 \frac{2}{3}.\)

Step-by-step explanation:

The air balloon will have to fall more than 890 feet for it to reach an elevation below 300 feet. It falls at a rate of 7.5, so 890/7.5=118.6666666666, which is 118 and 2/3. The answer is positive because time can never be negative.

I think the answer is C :)

Answer:

-3

Step-by-step explanation:

subtract 10 to the 25 so that cancels out the 10, you are left with -5m=15, then you divide the -5m by -5 to cancel it out on both sides. that leaves you with m by itself and once you do the division of 15 by -5 the result is -3

Step-by-step explanation:

b because you have to multiply

Answer:

86°

Step-by-step explanation:

try suggested solution (see the attached picture), note, the suggested way is not the shourtest one.

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:

Angles of Intersecting Chords Theorem

Step-by-step explanation:

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Answer: If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and it's vertical angle.

Step-by-step explanation: Example: In the circle, the two chords -PR and -QS intersect inside the circle. since vertical angles are congruent, m<1=m<3 and m<2=m<4

Answer:

Parallel: -1/2

Perpendicular: 2

Step-by-step explanation:

The slope of a line parallel to another, always has the same slope as the line that it is parallel to.

The slope of a line perpendicular to another, always has the opposite reciprical to the line that it is perpendicular to.

The top is a triangle with sides 7 and 5.4 Use the Pythagorean theorem to find the 3rd length.

3rd sides = sqt(7^2 + 5^2( = sqrt(49+25) = sqrt(74)

This side is the base of the lower rectangle.

The dotted line is the hypotenuse of a right triangle.

Use the Pythagorean theorem to solve.

sqrt(10^2 + sqrt(74)^2) = sqrt(174)

The dotted line = sqrt(174)

Answer:

\(a = 7.5\)

Step-by-step explanation:

Given

\(\frac{10}{14} = \frac{a}{10.5}\)

Required

The value of a

Cross multiply

\(a * 14 =10 * 10.5\)

Make a the subject

\(a = \frac{10 * 10.5}{14}\)

\(a = \frac{105}{14}\)

\(a = 7.5\)

Answer:

-12/25

Step-by-step explanation:

the both solutions are incorrect.

The correct solution is:

25b= -11-1;

25b=-12;

b=-12/25 or b= -0.48

Answer:

b = -30

Step-by-step explanation:

The reason why I disagreed with both equation's is because they both did something wrong in the equation the correct answer will be b= -30. First thing I did was write out the equation 2/5b + 1 = -11 then what I did was cancel out the 1 which is subtracting and remember when you subtract one side you did with the other so I also subtracted (add) 1 to -11 which got me -12 so now my equation is 2/5b = -12. Now I got to cancel out the 2/5b so what I did was multiply the fraction by it's reciprocal and if you do that to one side you do that to the other, then -12 * 5 is -60 then divide by 2 which is -30. So the final answer is b = -30.

I did this for my homework and it was graded correctly hopefully I wasn't to late :)

The surface area of a cell phone screen is 117 cm².

What is unit conversion?

Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement.

We can convert mm² to cm² by dividing the area in mm² by the square of the conversion factor, which is (10 mm / 1 cm) = 100 mm² / cm². Therefore, we have:

11700 mm² / (100 mm² / cm²) = 117 cm²

Rounding to the nearest whole number, we get 117 cm².

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