Solve the equations 7(2x+6)=1

Answer:

The product is 120

Step-by-step explanation:

(-10) × (-12) = 120

Thus, The product is 120

-TheUnknownScientist

Answer:

\( \sqrt{9 } = 3 \)

Equation of a Circle: (x - h)^2 + (y - k)^2 = r^2

---Center = (h, k)

---Radius = r (this value will need to be squared in the final answer)

Center = (-3, -6)

---h = -3

---k = -6

Radius = 4

Equation: (x + 3)^2 + (y + 6)^2 = 16

Correct Answer: A

Hope this helps!

The distance between the base of the string and the base of the mast of the sailboat is 6.24.

Here we have to find the distance from the base of the mast that should be attached to the end of the light string.

Data given:

length of the string = 20 foot

length of the mast of the sailboat = 19 foot

Distance between the base of the mast and the light string = \(\sqrt{20^{2} - 19^{2} }\)

                                                                                             = \(\sqrt{400 - 361}\)

                                                                                             = √39

                                                                                             = 6.245

Therefore the distance between the string and the mast is 6.24.

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Answer:

Step-by-step explanation:

x + 6 = 0

x = -6

-x + 1 = 0

-x = -1

x = 1

x = -6, 1

Answer:

400 square inches

Step-by-step explanation:

surface area= summation of area of all the faces the object has

out object has 2 triangular faces, and 3 rectangular faces

S.A = 2(0.5bh) + LW +LW+LW

= 2(0.5 x 8 x 15) + (15x7) + (17 x 7) + (7×8)

= 120+105+119+56

= 400 square inches

Answer:

The expression 3p⁵ ₓ 8p³ / 2p can be simplified to 12p⁷.

Step-by-step explanation:

To simplify:

3p⁵ ₓ 8p³ / 2p

= (3 ₓ 8)(p⁵ ₓ p³) / 2p

= 24p⁸ / 2p

= 12p⁷

A car and a truck traveling in opposite directions left washington, d.c. the car traveled 19 miles per hour faster than the truck then 81 miles was the average speed of each vehicle

Let

x = truck speed

x + 19 = carriage speed

by definition we have that distance is equal to the speed by time.

Therefore, we have then

1448 = (x + (x + 19)) * (8)

Rewriting the equation, we have then:

1448 = (2x + 19) * (8)

1448 = 16x + 152

Clearing x

x = (1448-152) / (16) = 81 mi / h

x = 81 mi / h (truck speed)

The speed of the car is:

x + 19 = 81 + 19 = 100 mi / h

answer:

The car's speed is 100 mi / hr

The truck's speed is 81 mi / hr

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Without additional information, it is not possible to determine the specific value of (c) in this case.

To find the function (f(x)) and the number (c) such that

\($\(\lim_{x\to 25}\frac{8x-40}{x-25} = f'(c)\),\)

we can start by simplifying the expression inside the limit.

\($\lim_{x\to 25}\frac{8x-40}{x-25} &= \lim_{x\to 25}\frac{8(x-5)}{x-25}\\\)

\($= \lim_{x\to 25}\frac{8(x-5)}{x-25}\cdot\frac{(x-25)}{(x-25)}\\\)

\($= \lim_{x\to 25}\frac{8(x-5)(x-25)}{(x-25)^2}\\\)

\($= \lim_{x\to 25}\frac{8(x-5)(x-25)}{(x-25)(x-25)}\\\)

\($= \lim_{x\to 25}\frac{8(x-5)}{(x-25)}\)

Now, we can see that the limit expression simplifies to

\($\(\lim_{x\to 25}8 = 8\)\)

Therefore, (f'(c) = 8).

Since (f'(c) = 8), the function (f(x)) must be the antiderivative of 8, which is (f(x) = 8x + k), where (k) is a constant.

To find the value of (c), we need more information about the function \(f(x)) or the original limit expression. Without additional information, it is not possible to determine the specific value of (c) in this case.

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The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

the answer is 11.1 minute

Step-by-step explanation:

divide 35600 by 3200

The answer of the given question is for a line representing the "rise" and a line representing the "run" of the line the graph is attached below and the slope of the line is 2, expressed in its simplest form.

Slope is a measure of the steepness of a line. It is defined as ratio of vertical change (rise) between two points on  line to horizontal change (run) between same two points.

The slope of a line tells us how much the y-coordinate changes for a given change in the x-coordinate. If the slope is positive, it means that the line is increasing as we move from left to right. If the slope is negative, it means that the line is decreasing as we move from left to right. A slope of zero means that the line is horizontal, while an undefined slope (division by zero) means that the line is vertical.

To draw the line representing the "rise" and "run" of the line, we can select any two points on the line and calculate the change in y-coordinates (rise) and change in x-coordinates (run) between them.

Let's choose the points (2, 5) and (5, 11) on the line.

The rise is the change in y-coordinates between the two points:

rise = 11 - 5 = 6

The run is the change in x-coordinates between the two points:

run = 5 - 2 = 3

So the line representing the "rise" would start at the point (2, 5) and end at the point (2, 5+6) = (2, 11), and the line representing the "run" would start at the point (2, 5) and end at the point (2+3, 5) = (5, 5).

To find the slope of the line in simplest form, we can use the formula for slope:

slope = (y2 - y1) / (x2 - x1)

Using the same two points (2, 5) and (5, 11) that we used earlier:

slope = (11 - 5) / (5 - 2)

slope = 6 / 3

slope = 2

Therefore, the slope of the line is 2, expressed in its simplest form.

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Answer:

\(4 \sqrt{lyl} \)

Step-by-step explanation:

Absolute value is needed, since y can be a negative number, and even roots of real numbers are not real numbers

Dimensions of the rectangular plot are 25' × 50'.

The area of a rectangular plot is 1250m.

What is the dimension of the rectangle?

Four perpendicular sides make up the two-dimensional geometric shape of a rectangle. Two of the four sides are distinct, and the other two resemble the distinctive sides. The dimensions of a rectangle are these two distinctive sides.

Here, we have

100 meters fencing

We have to find the dimensions and area of the rectangular plot.

so, 2x + y = 100

y = 100 - 2x

A = xy

A = x (100 - 2x)

A = 100x - 2x²

We differentiate w.r.t x, and we get

A' = 100 - 4x

We put, A'= 0

100 - 4x = 0

x = 25

y = 50

A = xy

A = 25 × 50

A = 1250m

Hence, the dimension of the rectangular plot is 25' × 50'.

The area of a rectangular plot is 1250m.

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Answer:

78

Step-by-step explanation:

First we want 9 3/4 into an improper fraction.

(9 * 4) + 3 / 4 = 39 / 4

Then we want to change 39 / 4 into the same denominator as 1/8

39 / 4 * 2 = 78 / 8

And there is your answer, 78!

(hopefully this is correct, have a nice day!)

The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

According to the statement

we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.

we know that the formula of probabilities is

probability = possible outcomes / total outcomes

So,

at least 10 are repairable = 1 - 10/15

at least 10 are repairable = (15 - 10)/15

at least 10 are repairable = (5)/15

at least 10 are repairable = 1/3

from 3 to 8 are repairable = 1/5 *8/15

exactly 5 are repairable = 1/3

These are the probabilities of the given conditions.

So, The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

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Answer: (A = π r²)

Hope this helps!

Answer:

cant help sry

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

80-45=35

If a number is the complex conjugate of itself, it means the number is purely real, i.e., it has no imaginary component. If a number is minus the complex conjugate of itself, it means the number is purely imaginary, i.e., it has no real component.

A complex number can be represented in the form a + bi, where 'a' is the real part and 'bi' is the imaginary part. The complex conjugate of a number is obtained by changing the sign of the imaginary part. So, if a number is the complex conjugate of itself, it implies that the imaginary part is zero, and the number is purely real. In other words, the number lies on the real number line.

On the other hand, if a number is minus the complex conjugate of itself, it means the imaginary part is zero, but the real part is negative. In this case, the number is purely imaginary, and it lies on the imaginary number line.

In summary, if a number is its own complex conjugate, it is purely real. If a number is minus its complex conjugate, it is purely imaginary.

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Answer:y=6(2)*x

Step-by-step explanation:

Let the cost of a lamp = x

6 lamps would cost 6x

He bought 3 lamps at 3x plus Thad 950 left.

3 lamps plus the 950

Would be the same amount as 6 lamps:

Set up an equation and solve for x:

3x + 950 = 6x

Subtract 3x from both sides:

950 = 3x

Divide both sides by 3:

X = 316.67

Each lamp was $316.67

Multiply the price of a lamp by 6:

316.67 x 6 = 1900

He had $1900

Answer: $1900

Step-by-step explanation:

Mr Lim had enough money to buy 6 similar lamps. However he only bought 3 such lamps. That means he had only spent half of his money (6-3=3).

So, if he take money remaining with him = x = $950

Amount of money he first had = 2x =$950×2 = $1900

The probability that every even number appears at least once before the first occurrence of an odd is 1/20.

Given:

A fair 6-sided die is repeatedly rolled until an odd number appears.

There are 6! ways to order the 6 numbers and 3!(3!) ways to order the evens in the first three spots and the odds in the next three spots.

so the probability = 3!*3! / 6!

= 3!*3! / 6*5*4*3!

= 3*2*1 / 6*5*4

= 6*1 / 30*4

= 6/120

= 1/20

Therefore the probability that every even number appears at least once before the first occurrence of an odd is 1/20.

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Answer:

(7, -1)

Step-by-step explanation:

The top is 3

The left side is 2

The right side is 7

The bottom is -1

Whatever side it is on vertically would be the first number, then the horizontal number.

This would make your answer (7, -1)

Answer:

see explanation

Step-by-step explanation:

∠ 1 and ∠ 3 are corresponding angles

each is in the same position ( the upper left hand corner) in its group of 4 angles.

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer:

Domain (-inf,9]

Range [-2,inf)

Step-by-step explanation:

The domain is every real number that x can be so that y is also real.

9-x has to be positive or zero in order for the square root of it to be real.

So we must solve 9-x>=0.

Add x on both sides: 9>=x

So x is any real number smaller than or equal to 9.

Interval notation (-inf,9]

The range represents all the y values obtained from plugging in our domain.

y=sqrt(9-x)-2

So sqrt(9-x) is either 0 or positive which means the smallest value y is 0-2=-2. So the range is every real number equal to -2 or greater.

Interval notation: [-2,inf)

Answer:

86.11 (86.11276135)

Step-by-step explanation:

Tangent, opposite, adjacent.

42 tan (64)=86.11