which is a solution to the following inequality?
MARK ALL THAT APPLY.
5x-10 > 42

Audience reach is a metric that is used to measure of the total audience size for a specific provide platform.

Audience reach answers the question of how many people have had the opportunity to consume (i.e. read, watch, and/or hear) news coverage of whatever you're watching. This metric is based on known circulation, viewership, audience size and followers of media outlets or social media users who publish the content in question. For the audience size of the publication/social media user providing the content is identified and then this number is added to the audience size of all other outlets publishing the content to give the total audience reach.

Hence, required answer is audiance reach.

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The circumference of the circle in terms of π is 8π yards.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Perimeter refers to the total outside length of an object,

here, we have,

the diameter of the circle = 8yrd

the circumference of the circle in terms of π

=π  * 8

= π8 yrd.

Hence, The circumference of the circle in terms of π is 8π yards.

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Answer:

x = 52

y = 19

Step-by-step explanation:

The degree measure of a straight line is (180) degrees. One can use this to find the measure of the angle that is adjacent to the angle with a measure of (142) degrees. Form an equation and solve for the unknown,

142 + (unknown angle) = 180

unknown angle = 38

The inscribed angle theorem states that twice the measure of an angle with its vertex of the circumference (outer edge) of a circle is equal to the measure of the surrounding arc. Therefore, one can state the following:

(2)(unknown angle) = (surrounding arc)

(2)(38) = (surrounding arc)

76 = surrounding arc

The central angles theorem states that the measure of an angle whose vertex is the center of the circle is equal to the measure of the surrounding arc. Therefore, one can state the following:

m<O = (surrounding arc)

m<O = 76

The radius is the distance from the center of the circle to the circumference of the circle. All radii in a circle are congrunet. Therefore the triangle with angle (x) and vertex (O) is an isosceles triangle, as two of its sides are radii, and are thus congruent. One property of an isosceles triangle is the base angles theorem. This theorem states that the angles opposite the congruent sides in an isosceles triangle are congruent. Moreover, the sum of angles in any triangle is (180) degrees. Therefore, one can make the following statement:

m<O + x + x = 180

76 + 2x = 180

x = 52

Finally, one can use the property that the sum of angles in any triangle is (180) degrees to make the following statement:

(x + 19) + (x + y) + (38) = 180

52 + 19 + 52 + y + 38 = 180

161 + y = 180

y = 19

x=52°

y=19°

Answer:

Solution given:

<OCA=19°[base angle of isosceles triangle]

Since ∆AOC is similar to ∆ BOC

y=19°[corresponding angle of a similar triangle are equal]

<OAB=<OBA=x[base angle of isosceles triangle]

again

<A+<B=180°[exterior angle of a triangle is equal to the sum of two opposite interior angle]

x+19+x+19=142°

2x=142°-38°

x=104/2

x=52°

Answer:

16hours

Step-by-step explanation:

Amount of hours Nixon took = 5hours

If it takes 320 % of his time, then he took him 320% of 5hrs to finish

This is express as shown

320% of 5

= 320/100 ×5

= 320/20

= 16

Hence it took him 16 hours

Answer:

Step-by-step explanation:

320/100 = 3.2

3.2 x 5

=16

The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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The value of \(c\) such that the line \(y = 2\cdot x + 3\) is tangent to the parabola \(y = c\cdot x^{2}\) is \(-\frac{1}{3}\).

If \(y = 2\cdot x + 3\) is a line tangent to the parabola \(y = c\cdot x^{2}\), then we must observe the following condition, that is, the slope of the line is equal to the first derivative of the parabola:

\(2\cdot c \cdot x = 2\) (1)

Then, we have the following system of equations:

\(y = 2\cdot x + 3\) (1)

\(y = c\cdot x^{2}\) (2)

\(c\cdot x = 1\) (3)

Whose solution is shown below:

By (3):

\(c =\frac{1}{x}\)

(3) in (2):

\(y = x\) (4)

(4) in (1):

\(y = -3\)

\(x = -3\)

\(c = -\frac{1}{3}\)

The value of \(c\) such that the line \(y = 2\cdot x + 3\) is tangent to the parabola \(y = c\cdot x^{2}\) is \(-\frac{1}{3}\).

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In the given figure, for Angle X and Angle Y to be equal, line AB and CD should be parallel.

Therefore, the answer is CHOICE 2 : The lines are parallel.

De Morgan's laws state that ~(p∧q) is equivalent to ~p∨~q and ~(p∨q) is equivalent to ~p∧~q. Using this, we can rewrite the second statement ~(p∧q)→r as ~p∨~q→r.

Now, we can compare the two statements:

(~p∨~q)→r  and  ~p∨~q→r

To determine if they are equivalent, we need to see if they have the same truth value for every possible combination of truth values for p, q, and r.

Let's create a truth table to help us:

| p | q | r | ~p | ~q | ~p∨~q | (~p∨~q)→r | ~p∨~q | (~p∨~q)→r |
|---|---|---|----|----|--------|-------------|--------|-------------|
| T | T | T | F  | F  |   T    |      T      |   T    |      T      |
| T | T | F | F  | F  |   T    |      F      |   T    |      F      |
| T | F | T | F  | T  |   T    |      T      |   T    |      T      |
| T | F | F | F  | T  |   T    |      F      |   T    |      F      |
| F | T | T | T  | F  |   T    |      T      |   T    |      T      |
| F | T | F | T  | F  |   T    |      F      |   T    |      F      |
| F | F | T | T  | T  |   T    |      T      |   T    |      T      |
| F | F | F | T  | T  |   T    |      T      |   T    |      T      |

As we can see, both statements have the same truth value for every possible combination of truth values for p, q, and r. Therefore, the two statements are equivalent.

We used De Morgan's laws to rewrite ~(p∧q)→r as ~p∨~q→r, then we compared the two statements using a truth table to see if they have the same truth value for every possible combination of truth values for p, q, and r.

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Answer:

1375 miles

Step-by-step explanation:

0.20x+95=370

0.20x=275

x=1375

Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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Answer:

2 I think let me know if I'm wrong

Step-by-step explanation:

The index of the middle element is 4.

The list (0, 1, 1, 2, 3, 5, 8, 13, 17), the binary search algorithm calls Binary Search (list, 0, 8, 3). The index of the middle element is 4. The binary search algorithm works by dividing a list into halves and looking at the value in the middle of the list. This is compared with the target value, and based on the comparison, one-half of the list is discarded as the search is continued in the other half. This is continued until the target value is found or it is clear that it is not on the list. In the given case, the list is (0, 1, 1, 2, 3, 5, 8, 13, 17), and the algorithm calls Binary Search(list, 0, 8, 3).

Here, the first parameter of the Binary Search function is the list, the second parameter is the lower index of the part of the list being searched, the third parameter is the upper index, and the fourth parameter is the value being searched. In the given case, the lower index is 0, the upper index is 8, and the value being searched is 3. The index of the middle element in the list is calculated as (0 + 8) / 2 = 4.

Therefore, the index of the middle element is 4.

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We can substitute the values of m and b into the slope-intercept form. The equation becomes y = -3x + 7. This means that the equation of the line satisfying the given conditions is y = -3x + 7.

To find the equation of a line given its y-intercept and slope, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this case, the y-intercept is (0, 7) and the slope is -3.

The y-intercept represents the point where the line crosses the y-axis, which is given as (0, 7). This means that when x is 0, y is 7. So we know that b, the y-intercept, is 7.

The slope, which is -3, represents the change in y divided by the change in x. This means that for every increase of 1 in x, y decreases by 3.

Now, we can substitute the values of m and b into the slope-intercept form. The equation becomes y = -3x + 7.

This means that the equation of the line satisfying the given conditions is y = -3x + 7.

In this equation, -3 is the slope of the line, indicating that the line is downward-sloping, and 7 is the y-intercept, representing the point where the line intersects the y-axis.

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          A

         / \

       /   \

     /     \

  B-------C

Since B is the midpoint of AC, we know that AB = BC = 2.

Since C is the midpoint of AD, we know that AC = CD.

Using the Pythagorean Theorem in triangle ABC, we have:

AB^2 + BC^2 = AC^2

2^2 + 2^2 = AC^2

8 = AC^2

AC = 2√2

Since AC = CD, we have CD = 2√2.

Therefore, the length of CD is 2 units.

The sample size is: n=39

Class        frequency
120-125           1
125-130            3
130-135             7
135-140             13
140-145             10
145-150               3
150-155               2

Total                   39

∵Therefore, The sample size is: n=39


A histogram is a graphical representation of a frequency distribution with continuous classes that has been grouped. It is an area diagram with bases and intervals between class boundaries, and areas proportional to frequencies in the corresponding classes. Because the base spans the intervals between class boundaries, all rectangles in such representations are adjacent.  

How Do You Plot a Histogram?

Answer:

X=8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

17x−30+7x+18=180

17x+−30+7x+18=180

(17x+7x)+(−30+18)=180(Combine Like Terms)

24x+−12=180

24x−12=180

Step 2: Add 12 to both sides.

24x−12+12=180+12

24x=192

Step 3: Divide both sides by 24.

X=8

Answer:

the answer is a

Step-by-step explanation:

add the total of all fish together and put the number of blue fish on top of that to get 8/18 and simplify to get 4/9

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

b

Step-by-step explanation:

Answer

x = 18

You're welcome

Answer:

The answer would be x=18

The vehicle be able to cover the full distance of 340km with on petrol tank if the petrol usage is 14 km/1.

Since the vehicles petrol tank has a capacity of 40 litres and the bvehicles wants to cover a distance of 340 with a pertol usage of 14 km/l.

We need to determine if the petrol in the tank will be enough to cover that distance.

So, distance = petrol usage × volume of tank

Since

Substituting the values of the variables into the equation, we have

distance = petrol usage × volume of tank

distance = 14 km/l × 40 l

distance = 560 km

Since the distance covered = 560 km which is greater than 340 km, the vehicle will be able to cover the full distance.

So, the vehicle be able to cover the full distance of 340km with on petrol tank if the petrol usage is 14 km/1.

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In the experiment studying the flow rate through a solenoid valve in an automobile's pollution-control system, two factors were considered: spring load and bobbin depth.

Three different levels (low, moderate, and high) were chosen for each factor. To determine the total number of observations in the resulting data set, we multiply the number of levels for each factor. Therefore, the data set consists of a total of nine observations.

In the experiment, there are three levels for each factor: low, moderate, and high. Since there are two factors, we need to multiply the number of levels for each factor to find the total number of observations.

Number of levels for spring load = 3 (low, moderate, high)

Number of levels for bobbin depth = 3 (low, moderate, high)

Total number of observations = Number of levels for spring load × Number of levels for bobbin depth

= 3 × 3

= 9

Therefore, the resulting data set consists of nine observations in total.

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The spring will stretch 1.5 times further when the 0.60 kg block is added to the 1.2 kg block.

To determine how much further the spring will stretch when a 0.60 kg block is added to the 1.2 kg block, we need to consider Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position.

Let's assume that the spring is initially stretched by a certain amount x when only the 1.2 kg block is attached. The force exerted by the spring is given by F = kx, where k is the spring constant.

When the 0.60 kg block is added, the total mass becomes 1.2 kg + 0.60 kg = 1.8 kg. The force exerted by the spring remains the same, but the total mass affects the acceleration of the system according to Newton's second law, F = ma.

Using F = ma, we can find the acceleration of the system: F = (1.8 kg)(9.8 m/s^2) = 17.64 N.

Since F = kx, we can rearrange the equation to find x: x = F/k.

Now, if we assume the spring constant k remains constant, the displacement x will increase by a factor of 1.8 kg/1.2 kg = 1.5.

Therefore, the spring will stretch 1.5 times further when the 0.60 kg block is added to the 1.2 kg block.

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The type of data for the water consumption (liters) by a randomly chosen player on the Celtics roster during a home game would be quantitative continuous data.

This is because the variable, water consumption, is a numerical measurement that can take on any value within a specific range (e.g., 0.5 liters, 1.2 liters, 2.7 liters, etc.), and it can be measured with a high level of precision. The data is continuous because there are no restrictions on the possible values, and it can take on any value within a given range.

what is range?

In statistics, the range refers to the difference between the maximum and minimum values in a dataset. It provides a measure of the spread or variability of the data.

To calculate the range, you simply subtract the minimum value from the maximum value:

Range = Maximum value - Minimum value

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The value of d for the given expression will be 3.68.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate a triangle's side length and angle.

The given expression is,

dsin24 = 1.5

The value of 'd' will be calculated as,

dsin24 = 1.5

d = ( 1.5 / sin24)

d = 3.68

Therefore, the value of d for the given expression will be 3.68.

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