A traffic camera sits on top of a tower that has a height of 50ft., the angles of depression of two cars on a straight road at the same level as that of the base of the tower and on the same side of it are 25° and 40°. Calculate the distance between two cars

Answer:

13.33%

Step-by-step explanation:

First we need to find the total number of marbles

4 blue marbles+ 3 green marbles+ 7 red marbles+ 1 yellow marble= 15

The probability of a red marble = number of red marbles over the total marbles

P(red) = red/total = 7/15

We keep the marble.  There are now 6 red marbles

4 blue marbles+ 3 green marbles+ 6 red marbles+ 1 yellow marble= 14

We have 14 marbles in the bag

The probability of a blue marble = number of blue marbles over the total marbles

P(blue) = blue/total = 4/14 = 2/7

Then we multiply the probabilities together

P(red,blue0 = 7/15 * 2/7 = 2/15 =.13333333 = 13.33%

Final answer:

The probability of selecting a red marble and then a blue marble from the bag is about 13.33%.Hence, the answer is B.

Explanation:

The probability of selecting a red marble and then a blue marble from a bag that originally contains 4 blue marbles, 3 green marbles, 7 red marbles, and 1 yellow marble involves calculating the probability of two independent events.

First, the probability of selecting a red marble is the number of red marbles over the total number of marbles, so P(Red first draw) = 7/(4+3+7+1) = 7/15.

After selecting a red marble, there is one less marble in the bag, so the new total is 14, and still 4 blue marbles. The probability of then selecting a blue marble is the number of blue marbles over the new total, so P(Blue second draw) = 4/14 = 2/7.

To find the combined probability of both events happening in sequence (red then blue), we multiply the individual probabilities: P(Red then Blue) = P(Red first draw) * P(Blue second draw) = (7/15) * (2/7) = 2/15. Converting this to a percentage gives us approximately 13.33%.

Answer:

The value of x is [tex]186\°[/tex]

Step-by-step explanation:

Part 27) we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses

In this problem

[tex]90\°=\frac{1}{2}[x\°-6\°][/tex]

Solve for x

[tex]180\°=[x\°-6\°][/tex]

[tex]x=180\°+6\°=186\°[/tex]

Answer:

what are the answer options?

Step-by-step explanation:

Answer:

904.36

Step-by-step explanation:

If the radius is 6 and the height is 8 then the answer would be 904.32

This is because the volume formula for a cylinder is pi times radius sqaured times height so if the radius is 6 and the height is 8 then you would do 3.14 times 36 times 8 which would get you 904.36. Also using the formula I just gave you if the diameter is 6 then you would just half it to make the radius. Maybe if I am wrong about which is which for the height being 8 and the radius or diameter being 6 then you could just switch it around in the formula

Answer: ≈904.78

Step-by-step explanation:

V=πr2h=π·62·8≈904.77868

The statements that correctly describe the association between variables A and B are "positive association," "negative association," "nonlinear association," "no association," and "linear association."

Positive Association: Variables A and B have a positive association when an increase in the value of variable A corresponds to an increase in the value of variable B. In other words, as A increases, B also tends to increase, and vice versa. This relationship implies a positive correlation between the two variables.

Negative Association: A negative association between variables A and B occurs when an increase in the value of variable A corresponds to a decrease in the value of variable B, and vice versa. Here, as A increases, B tends to decrease, and vice versa. This relationship signifies a negative correlation between the two variables.

Nonlinear Association: Variables A and B exhibit a nonlinear association when the relationship between them cannot be adequately represented by a straight line. Instead, their connection follows a more complex pattern, such as a curve or some irregular shape. Nonlinear associations can still be positive or negative, but they do not follow a simple linear relationship.

No Association: When there is no association between variables A and B, changes in one variable do not correspond to any predictable changes in the other. In this case, the values of A and B are independent of each other, and there is no correlation between them.

Linear Association: Variables A and B have a linear association when their relationship can be approximated by a straight line. In a linear association, a change in one variable is proportionally reflected in the other variable. This is the simplest form of association and is characterized by a constant rate of change between the variables.

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Answer:

Graph in the first quadrant because x and y are nonnegative.

Shade the half-plane that does not include the origin since (0, 0) does not satisfy the inequality.

Draw a horizontal line at y = 2 for 2 dogs.

Solutions lie on or below the part of the horizontal line that is in the shaded region.

Step-by-step explanation:

Answer:more than 3

Step-by-step explanation:

i jus did it

To find another angle in an acute triangle with one angle measuring 38 degrees, any value less than 90 degrees is possible for the second angle, provided that the third angle remains acute as well.

One angle measure in an acute triangle is 38°, and to determine the measure of one of the other angles, we must consider the geometric principle stating that the sum of angles in a triangle is 180°. Since we have one angle measuring 38°, the sum of the remaining two angles must be 180° - 38° = 142°. Given that an acute triangle has all angles measuring less than 90°, one of the other angles could be any value less than 90° but also must leave enough degrees so that the third angle is also acute (less than 90°). For example, if the second angle were 52°, the third angle would be 142° - 52° = 90°, which is the highest possible value without losing the acute property of the triangle.

14$ because you subtract 8 - 36 = 28 then divide 28 by 2 and get 14

36 - 8 = 28 divided by 2 equals 14

Answer:

2 + (-6) ÷ 4 ⋅ 4

Step-by-step explanation:

Given in the question an expression,

2 + (3 - 9) ÷ 4 ⋅ 4

First step to solve this problem is to solve the arithmetic which is inside the brackets.

Anything in parentheses always come first when solving a problem.

(n-2)*180 divided by n

Answer:

540°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5, hence

sum of interior angles = 180° × 3 = 540°

ANSWER

[tex] 10C_5(2)^{5}( - 3)^5[/tex]

EXPLANATION

The given binomial expression is

[tex](2x-3y)^{10} [/tex]

The nth term in this expansion is calculated using the formula,

[tex]T_{r+1} = nC_ra^{n-r}b^r[/tex]

To find the term with coefficient

[tex] {x}^{5} {y}^{5} [/tex]

we substitute r=5, n=10, a=2x, and b=-3y

[tex]T_{6} = 10C_5(2x)^{10-5}( - 3y)^5[/tex]

[tex]T_{6} = 10C_5(2x)^{5}( - 3y)^5[/tex]

[tex]T_{6} = 10C_5(2)^{5}( - 3)^5 {x}^{5} {y}^{5} [/tex]

The coefficient is

[tex] 10C_5(2)^{5}( - 3)^5[/tex]

The second choice is correct.

Answer:

second one

Step-by-step explanation:

Answer:

a=2

h=8

k=-72

Step-by-step explanation:

[tex]y = 2 {x}^{2} - 32x + 56 \\ = 2( {x}^{2} - 16x + 28) \\ = 2( {x}^{2} - 2 \times 8 x + 64 - 36) \\ = 2 {(x - 8)}^{2} - 72 \\ then \: the \: minimum \: is \: - 72 \: and \\ \: the \: x - coordinate \: of \: minimum \: is \: 8.[/tex]

The rewritten equation is 2(x-8)^2 - 100, and the x-coordinate of the minimum is 8.

A quadratic equation is a second-degree algebraic equation in x. The conventional form of the quadratic equation is ax^2 + bx + c = 0, with a and b as coefficients, x as the variable, and c as the constant component.

y = 2x^2 - 32x + 56

y = 2(x^2 - 16x + 28)

y = 2((x^2 - 16x + 64) - 36)

y = 2((x - 8)^2 - 36)

y = 2(x - 8)^2 - 72

The equation when converted in the form  y = a(x - h)^2 + k will look like  y = 2(x - 8)^2 - 72.

The minimum value of this function is y = -72 and the x-coordinate of the minimum is x = 8.

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Answer:

Option A

Step-by-step explanation:

Easy-Peasy!

The function is f(x) = z^2 + c, where c=1-3i and z0 = i.

So what you have to do, is to substitute the given values of Z and C into the function:

f(x) = z^2 + c

f(x) = (i)^2 + 1 - 3i

f(x) =  -1 + 1 - 3i = -3i.

Then the first value is z1 = -3i.

Then we substitute new value z1 = -3i into the fuction:

f2(x) = (-3i)^2 + 1 - 3i

f2(x) = -9 + 1 - 3i = -8 - 3i

Then the second value is: z2 = -8 - 3i

Again, we substitute the value z2 = -8 - 3i into the function:

f3(x) = (-8 - 3i)^2 + 1 -3i

f3(x) = 64 + 48i -9 + 1 - 3i = 56 + 45i

Z3 = 56+45i

So, the correct option is: Option A.

Answer:

x-7>-15

Step-by-step explanation:

The difference is subtraction.

Greater than is >.

For this case, we must write the expression given algebraically:

The difference of x and 7 can be written as:

[tex]x-7[/tex]

That difference is greater than -15, so the opening of the inequality sign must be on the differencing side, that is:

[tex](x-7)> - 15[/tex]

ANswer:

[tex](x-7)> - 15[/tex]

Answer:

2 points

Step-by-step explanation:

A quadratic equation is in the form of ax²+bx+c. The points at which the graph of the function y = 4x² - 6x + 1 intersects the x-axis is 0.191 and 1.309.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The points at which the graph of the function y = 4x² - 6x + 1 intersects the x-axis can be found by substituting the value of y as 0 in the equation and then solving the equation.

0 = 4x² - 6x + 1

Since the equation is in the quadratic form, the roots of the equation are,

[tex]x = \dfrac{-(-6)\pm\sqrt{(-6)^2-4(4)(1)}}{2(4)}\\\\x = \dfrac{6\pm\sqrt{36-16}}{8}\\\\x = \dfrac{6\pm\sqrt{20}}{8}\\\\x = \dfrac{6\pm2\sqrt{5}}{8}[/tex]

x = 0.191, 1.309

Hence, The points at which the graph of the function y = 4x² - 6x + 1 intersects the x-axis is 0.191 and 1.309.

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Answer:

Should be (-21/4) (2/3) = -42/12 = -21/6

So answer is  

Esmerelda did not use the reciprocal of the divisor.

Step-by-step explanation:

Answer: Esmeralda added the numerators.

Esmeralda added the denominators.

Esmeralda did not use the reciprocal of the divisor.

First picture = x ≤ 7

Second picture = y = [tex]\frac{x}{3}[/tex] - 1

Third picture = graph d

Hope this helps you

bl.... like... boy love......?

Final answer:

The volume of a rectangular pyramid with a base of 13 inches by 12 inches and a height of 8 inches is 416 inches³, calculated using the formula V = (1/3) × base area × height.

Explanation:

To calculate the volume of a rectangular pyramid, the formula is V = (1/3) × base area × height. The base area is the length times the width of the pyramid's base, while the height is the perpendicular distance from the base to the apex. Given the dimensions of the pyramid as a base of 13 inches by 12 inches and a height of 8 inches:

Final answer:

The volume of the rectangular pyramid with a base of 13 inches by 12 inches and a height of 8 inches is 416 cubic inches, calculated using the formula V = ¼Bh.

Explanation:

To find the volume of a rectangular pyramid, you can use the formula for the volume of any pyramid, which is ¼ the base area multiplied by the height (V = ¼Bh). In this case, the base area (B) can be calculated by multiplying the length and width of the base of the pyramid. Therefore, the base area B is 13 inches * 12 inches, which equals 156 square inches. The height (h) of the pyramid is given as 8 inches.

Using the volume formula:

Base area (B) = 13 in * 12 in = 156 in²

Height (h) = 8 in

Volume (V) = ¼ * B * h = ¼ * 156 in² * 8 in

Calculation:

V = ¼ * 156 in² * 8 in

V = 1,248 in³ ´  3

V = 416 in³

Therefore, the volume of the pyramid is 416 cubic inches.

Answer:

1,206

Step-by-step explanation:

Since we'll have to deal with cubic inches (with the ball volume), we should also calculate the volume of the car in cubic inches.

We are told the car is a rectangular prism measuring 10ft x 5 ft x 3 ft.

So, in inches (12 inches/foot), we have: 120 in x 60 in x 36 in = 259,200 cu inches.

The ball is a sphere with a radius of 3 inches.

Real volume of the ball: V = (4/3) π r³

V = (4/3) π 3³ = 36 π = 113.1 cu inches

But of course, balls don't fit perfectly one next to another, like cubes, so we have to take into account the loss... the question tells us to use a factor of 190%.

So, the packing volume of a ball is 190% its real volume:

PV = 190% * 113.1 = 214.9 cu inches

Now, how many times does that fit inside the car?

259,200 / 214.9 = 1,206.14

Let's round it to 1,206, which is a possible answer.

The domain is all real numbers and the range is all the reals at or above the vertex y coordinate (if the coefficient on the squared term is positive) or all the reals at or below the vertex (if said coefficient is negative).

Answer:

The domain is all real numbers, and the range is nonnegative real numbers (y > 0)
-

Step-by-step explanation:

tha pex

Answer:

Step-by-step explanation:

-12n - 20

-12n = (-2)(6n)

-20 = (-2)(10)

-12n - 20 = (-2)(6n+10)

Answer:

The center point will be on (-5,3) and the second point will be on (-4,3)

Step-by-step explanation:

Answer:

1. c

Step-by-step explanation:

2. A

Answer:

C and A

Hope This Helps!    Have A Nice Day!!

25/60 is repeating decimal

hope it helps you!!!!!!!!!

Answer:

0.68

Step-by-step explanation:

$17 out of $25 comes to 17/25, or 0.68.  This is the desired decimal equivalent.

She spent 17/25, and the decimal equivalent is .68

Answer:

C

Step-by-step explanation:

The angle 160° and the interior angle of the triangle form a straight angle

interior angle = 180° - 160° = 20°

Similarly with angle 131° and the interior angle at the top of the triangle

interior angle = 180° - 131° = 49°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

n is an exterior angle, hence

n = 20° + 49° = 69° → C

Answer:

1L

Explanation:

Millimeter is a metric measurement for distance/length, while Liter is a metric measurement for volume/capacity.

Hope this helps! :)

Answer:

[tex]\large\boxed{S.A.=4500\pi\ in^2\approx14130\ in^2}[/tex]

Step-by-step explanation:

The formula of a surface area of a ball (sphere):

[tex]S.A.=\dfrac{4}{3}\pi R^3[/tex]

R - radius

We have R = 15in. Substitute:

[tex]S.A.=\dfrac{4}{3}\pi(15^3)=\dfrac{4}{3}\pi(3375)=4500\pi\ in^2[/tex]

If you want to get an approximation, then:

[tex]\pi\approx3.14\\\\S.A.\approx(4500)(3.14)=14130\ in^2[/tex]

Answer:

SA=(4⋅3.14⋅225) square inches

Step-by-step explanation:

TTM

Your answer is 8

Hope I helped

Answer:

32

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

An excluded value is any value of x that makes the denominator of the rational expression zero as this would make the expression undefined.

For expression A

[tex]\frac{x-3}{x^2-4}[/tex]

The denominator will be zero when x² - 4 = 0

x² - 4 is a difference of squares, thus

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

x - 2 = 0 ⇒ x = 2

x + 2 = 0 ⇒ x = - 2

The excluded values of x are x = ± 2 ⇒ A

Option A) is the answer