Can anyone help me solve

Total sample popuation = 400

Fraction of those for the tax hike = 3/16

fraction of those against the tax hike = 7/16

The number of those that support the tax hike is

3/16 of 400

=> 3/16 x 400

=> 1200/ 16

=>75 people

The x-intercept -2 is and the y-intercept is 3

Here, we are tasked by finding the x-intercept and the y-intercept of the given straight line

The x-intercept is the point on the graph where we have the coordinates as (x,0)

What this mean is that at the x-intercept, the value of y = 0

Thus by substituting y = 0 into the equation, we can get the value of the x-intercept

Making the substitution, we have

3x - 2(0) = -6

3x = -6

x = -6/3

x = -2

The y-intercept is the point on the graph where we have the coordinates as (0,y)

What this mean is that at the y-intercept, the value of x = 0

Thus by substituting x = 0 into the equation, we can get the value of the y-intercept

Making the substitution, we have

3(0) - 2y = -6

-2y = -6

divide both sides by -2

y = -6/-2

y = 3

1) Since in the USA 8 x 10 ^9 messages are sent every month, that means that approximately 8 billion messages are sent.

2) We can Prime factorize it:

Note that on the right side we've picked only prime numbers. In this case, 2 and 5.

So we can rewrite 8 x 10^9 as prime factors.

3) Hence, the answer is:

SOLUTION:

Step 1:

In this question, we are given the following:

You draw one card from a​ 52-card deck.

Then the card is replaced in the deck and the deck is​ shuffled, and you draw again.

Find the probability of drawing a nine the first time and a heart the second time​

Step 2:

From the question, we can see that the probability of drawing a nine the first time and a heart the second time​ is:

CONCLUSION:

The probability of drawing a nine the first time and a heart the second time​ is:



Given:

We will find the original price, let it = x

Discount: 20%

Sale price: $75

As the discount = 20%

So, the sale price = 100 - 20 = 80%

So, 80% of x = 75

Note 80% = 80/100 = 0.8

So, we can write the following equation:

So, the answer will be the original price = $93.75

To find the value of x:

Consider the right angle triangle,

The opposite side is 1.4 ft

The adjacent side is x

The hypotenuse side is 2.1ft

Using Pythagoras theorem,

Hence, the value of x is 1.57 ft.

The final discounted price of the hat can be calculated by subtracting the discount from the regular price, like this:

discounted price = regular price - discount

By calling x to the regular price, we can rewrite the equation to get:

discounted price = x - discount

The discount, is calculated by multiplying the regular price by the discount percentage, in this case, a 20% (0.2) discount is applied, then we can rewrite the above equation to get:

discount price = x - 0.2x

Then, option D x - 0.2x describes the discount price

Step-by-step explanation:

Given: A fraction

Required: To simplify the given fraction.

Explanation: The given fraction can be simplified by rationalizing the denominator of the fraction. The rationalizing factor is

Hence,

Which gives

Final Answer: Option A is correct.

The value of the function f(-5) is -6

The given parameters are the graphs in the figure

From the question, we have the function definition to be f(-5)

When the graphs are analysed, we have the following highlights

The equation of the first graph is illustrated by the function f(x), while the second is illustrated by the function g(x)

Recall that the function definition is f(-5)

So, we use the function represented by f(x) i.e. the first graph

The function f(-5) means the value of x is -5

Looking at the values on the first graph, we have the following representation

f(-5) = -6

Hence, the function f(-5) has a value of -6

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Answer

P(x) = x² - 3x - 18

Explanation

We are asked to find the polynomial function which has zeros -3 and +6.

x = -3 and x = 6

(x + 3) (x - 6) = 0

x (x - 6) + 3 (x - 6) = 0

x² - 6x + 3x - 18 = 0

x² - 3x - 18 = 0

Hope this Helps!!!

Answer:

Step-by-step explanation:

1) Given that f(x)= 2x²-3x - 7

a) Show that the equation f(x) = 0 has two real roots.

Calculate the discriminant Δ

f(x) = ax²+bx+c

f(x) = 2x²-3x - 7

Δ= b²-4ac = (-3)²-4·2·(-7) = 9 +56 = 65

Δ =65 is

Δ > 0 so the equation has 2 real distinct roots because the discriminant is not 0 or negative, it is a positive number.

b) Solve the equation f(x) = 0.

x= (-b ±√Δ)/2a

x= (3 ±√65)/2·2

One root is x=(3 + √65)/4, the second root is x=(3 - √65)/4

Solutions are x≈2.77 and x≈ -1.27

The volume of the snowball is decreasing at the rate of 502.56cm/min when the radius is 10 cm.

The volume of a sphere is given by the following equation:[tex]\frac{4\pi r^{3} }{3} ^{}[/tex]

We have to do the implicit differentiation of V in function of t. The are only two variables(V and r). So

[tex]\frac{dv}{dt} = \frac{4\pi }{3} 3r^{2} \frac{dr}{dt}[/tex]

[tex]\frac{dv}{dt} = 4\pi r^{2} \frac{dr}{dt}[/tex]

We have to find[tex]\frac{dv}{dt} when[/tex] [tex]\frac{dr}{dt} = - 0.4[/tex]     r = 10

[tex]\frac{dv}{dt} = 4\pi (10)^{2} \times -0.4[/tex]

[tex]\frac{dv}{dt} = -502cm/m[/tex]

The negative means that the volume is decreasing.

So the answer is 502.56 cm/min.

Volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, cuboid, cone, cylinder or sphere.

Different shapes have different volume. In 3D geometry, we studied various three-dimensionally defined shapes and solids such as cubes, cubes, cylinders, cones, etc. For each of these shapes, we learn to find volume.

The volume of a solid substance is measured in cubic units. For example, if the dimensions are given in meters, the volume is in cubic meters. It is a standard unit of volume in the International System of Units (SI). Similarly, other units of volume are cubic centimetre, cubic meter, cubic meter, etc.

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Where

a = 2

b = 6

c = -16

Using quadratic formula, we solve for x:

we get that:

so we get

The station cost $2 to start and after that $4 for every hour or fraction of hour.

For 2.5 hours, the charge is $2 to start after that 4$ for first hour, $4 for second hour and $4 for next 1/2 hours. Total cost is,

Simillarly for 2 hours total cost is,

For 0 hours there is start cost of $2 so point (0,2) must be included or (0,0) NOT included.

PART B

Determine the cost to charge a car at station A for 4 hours.

Determine the cost to charge a car at station B for 4 hours.

So cost to charge a car for 4 hours is less for station B and fee for charging the car for 4 hours there is $15.

Let h be the number of additional hours. Since the fixed pay is 15 dollars for the first 40 hours, this means that from there, each hour will be paid with 20 dollars. We can write the following equation to represent this situation:

Given:

Length of sides of smaller triangle = 4 and x

Lengths of larger sides = 10 and 25

Let's solve for the value of x.

Since both triangles are similar, the corresponding sides will be proportional.

To solve for x, apply the proportionality equation:

Cross multiply:

Therefore, the value of x is 10.

since m and n are || lines :

150°+(3x-15)°=180°(Co-interior angles are supplementary)

[tex]150 + 3x - 15 = 180 \\ 3x + 150 - 15 = 180 \\ 3x + 135 = 180 \\ 3x = 180 - 135 \\ 3x = 45 \\ \frac{3x}{3} = \frac{45}{3} \\ x = 15[/tex]

x=15°

HOPE THIS HELPS

Answer:

x = 15

Step-by-step explanation:

If m and were parallel then

3x - 15 and 150 would be same- side interior angles and sum to 180° , so

3x - 15 + 150 = 180

3x + 135 = 180 ( subtract 135 from both sides )

3x = 45 ( divide both sides by 3 )

x = 15

then for m and m to be parallel , x = 15

Answer:

-4.31818 or 2.13636

Step-by-step explanation:

I can't really tell how its written if it's -4 and 7/22 it would be -95/22 or -4.31818. if it is -47/22 it would be 2.13636. I did this by dividing the numerator by the denominator

Answer:

-4.31818 or -2.13636

Step-by-step explanation:

if its -4 and 7/22 then the first one and if its -47/22 then the second one

Concept use formula for converting degree Fahrenheit to degree celsius

Final answer = - 19.9

Given:

The function is,

It can be written as,

Polynomial is a combination of terms seperated using + and - sign which does not contain,

1) Variable in demominator

2) Variables under radical

3) special features like trigonometric function, absolute values etc.

So, it shows that the given function is polynomial with degree 4.

Answer: option D)

Explanation

We are told that the maximum distance, d in kilometres that can be observed is given by

If the height of the building is 290.7 meters, then

The value of d will be calculated as

Thus, the value of d will be 436.1 km

The value of k is 4 , the line through (-1,k) and (-7, -2).

Given,

The line through (-1, k) and (-7, -2) is parallel to the line y = x + 1.

To find the value of k

Now, According to the question is:

For Parallel lines, We know that

It has same slope as y = x + 1

Also, We know y = x +1 has slope of 1.

Using the formula for the slope :

m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Now, For value k

We have, 1 = (-2-k)/(-7-1)

=> 1 = (-2-k)/(-6)

=> -6 = -2 -k

=> -6+2 = -k

=> k = 4

Hence, The value of k is 4.

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First, from the diagram and the fact that lines m and n are parallel we get that:

1)

Therefore:

2) Angles 1 and 3 are opposed by the vertex, and the same occurs for angles 5 and 7, 4 and 6, and the angle of measure 39 degrees and 2, therefore:

3) Angles 3 and 5 are alternate interior angles, and the same occurs for angles 2 and 4, therefore:

Answer:

Answer: -0.733

Step-by-step explanation:

To estimate the instantaneous rate of change, we can take the slope of the secant through two points on the curve that are close to x=5.

In this case, we will consider [tex](4.9, f(4.9))[/tex] and [tex](5.1, f(5.1))[/tex].

[tex]\frac{f(5.1)-f(4.9)}{5.1-4.9} \approx -0.733[/tex]

Hello there. To solve this question, we'll have to remember some properties about finding slopes of lines and dilations.

Given that the rectangle KLMN is dilated by a scale factor of 3 with the origin being the center of the dilation, resulting in the image K'L'M'N', we need to find the slope of K'L' knowing the slope of KL is -3.

We start by drawing the situation:

Just as an example. The rectangle many not pass through the same points, but the center is at the origin, which means it intersects the x and y axis at symmetric points.

Now, remember a dilation is a transformation that stretches every side at once, or in other words, re-scales the entire figure by a factor.

Since this factor is 3, we would have something like the following:

49 rounded to the closest tenth; possible 8.1% variation. The range of allowable values to the nearest tenth is 4.

Given that,

We have to find using the information provided, determine the permissible value range. 49 rounded to the closest tenth; possible 8.1% variation.

The range in statistics refers to the distribution of your data between the lowest and greatest value in the distribution.

Measurements of variability provide you with descriptive statistics for summarizing your data set in addition to measures of central tendency.

By deducting the lowest value from the greatest value, the range is computed. A short range indicates low variability in a distribution, whereas a big range denotes significant variability.

We now,

49×8.1%=3.969

The nearest tenth is 4.

Therefore, the range of allowable values to the nearest tenth is 4.

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Answer:

813/10

Step-by-step explanation:

convert 81.3 to fraction by shifting the point once then making it over 10 cuz you shifted your point once;then break down to the simplest form