What is 0.75 written as a fraction?
A-1/75
B-10/75
C-75/100
D-7/5
E-75-10

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Answer:6.05

Step-by-step explanation:

6 is the ones place. 0 is the tenths place. 5 is the hundredths place.

The image point of (0, -6) after the transformation D1/2 ° r y = -x is (-3, 0).

To find the image point of (0, -6) after the transformation D1/2 ° r y=-x, we need to apply the transformation steps in the given order.

First, let's consider the reflection y = -x. This reflection involves swapping the x and y coordinates. So, the image point after the reflection will be (-6, 0).

Next, we need to apply the dilation by a scale factor of 1/2 (D1/2). This dilation involves multiplying the x and y coordinates by the scale factor. Therefore, the image point after the dilation will be (-6/2, 0/2), which simplifies to (-3, 0).

The transformation involves reflecting the point across the line y = -x and then dilating it by a scale factor of 1/2.

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Answer:

No Possible Triangles

Step-by-step explanation:

Deltamath

Answer:

im to young to answer this ;(

Step-by-step explanation:

No, the growth model function that represents the population of the city is not linear in this case.

A linear function has a constant rate of change, meaning that the population would increase by the same amount each year. However, in this scenario, the population is increasing at an annual rate of 4% per year. This means that the population growth is exponential, not linear.

To model the population growth over time, you would need to use an exponential function, such as:

P(t) = P₀ * (1 + r)^t

Where:

P(t) represents the population at time t,

P₀ represents the initial population (in this case, 10000),

r represents the annual growth rate (4% or 0.04),

and t represents the number of years.

Using this exponential function, you can calculate the population at any given year based on the initial population and the growth rate.

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We know 2 cups = 1 pint

Let's convert the pints of milk Baily has to cups of milk.

For Recipe A, she uses 2 1/2 cup

For Recipe B, she uses 1 1/2 cup

That's a total of:

So, she has remaining:

9 cups - 4 cups = 5 cups

We want this answer in pints. So, to go from cups to pints, we divide by 2, so:

Answer

Answer:

base=6

Step-by-step explanation:

\(\frac{base}{altitude}=\frac{1}{2}~=>2*base=altitude\\\\area=\frac{1}{2}base*altutude=\frac{1}{2}base*(2base)=base^2=36~=>base=6\\\\\)

The appropriate alternative hypothesis for the investigation is: Ha: proportion < 0.38

The correct option is option D)

What is null and alternate hypothesis?

Null and alternate hypothesis are hypothesis in statistical testing. A null hypothesis assumes that is no difference. where as an alternate hypothesis assumes that there is a difference. A null hypothesis is denoted by H0 and alternate hypothesis is denoted by H1.

The null hypothesis is the proportion of people in Region X with blood type O positive is equal to the proportion in Region W. And that proportion is 0.38

Hence by null hypothesis we have

H0: proportion = 0.38

The alternative hypothesis, denoted by Ha, is the hypothesis that we want to test against the null hypothesis.

In this case, we want to investigate whether the proportion of people in Region X with blood type O positive is less than the proportion in Region W. So, the appropriate alternative hypothesis is:

Ha: proportion < 0.38

Hence, The appropriate alternative hypothesis for the investigation is: Ha: proportion < 0.38

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Answer:

\(x = \frac{8d-10e-3a-2b}{c}\)

Step-by-step explanation:

In order to find x, our goal is to isolate it on one side of the equation.

To do this, let's first apply the distributive property on the right side of the equation.

\(3a+2b+cx = 8d - 10e\)

Now we can subtract \(3a\) and \(2b\) from both sides:

\(cx = 8d - 10e - 3a - 2b\)

And now we can divide both sides by \(c\) so that x is alone on the left side.

\(x = \frac{8d-10e-3a-2b}{c}\)

Hope this helped!

Answer:

(xy^3z,4)

Step-by-step explanation:

The measure of the angle m∠PBM is calculated as; 54°

An inscribed angle is defined as an angle with its vertex on the circle.

The measure of an inscribed angle is half the measure the intercepted arc.

The formula is:

Measure of inscribed angle = 1/2 × measure of intercepted arc

Now, we are given that;

MB = PB

Arc PB = 27°

Thus;

Arc MBP = 2 * 27°

Arc MBP = 54°

Thus, using the Measure of inscribed angle we have;

∠PBM = 27 * 2 = 54°

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Answer:

6.24 x \(10^{-7}\)

Step-by-step explanation:

0.000000624 in scientific notation is 6.24 x \(10^{-7}\)

Answer:

Step-by-step explanation:

The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.

Answer:

\(f(x) = - 2 + 4 \cos(x) \\ for \: minimum \: \: x = 0 \\ f(0) = - 2 + 4 \cos(0) \\ minimum \: value = 2 \\ for \: maximum \: value \: \: x = 2\pi \\ f(2\pi) = - 2 + 4 \cos(2\pi) \\ maximum \: value = - 2\)

The function is minimum at 3π/2 and the function is maximum at 0 and 2π.

The condition for the maximum will be

f(x)'' < 0

The condition for the minimum will be

f(x)'' > 0

The function is given below.

f(x) = −2 + 4cosx

Differentiate the function with respect to x, then we have

f'(x) = − 4 sin x

Again differentiate the function with respect to x, then we have

f''(x) = − 4 cos x

Then the minimum value of the function will be

f'(x) = 0

−4 sin x = 0

sin x = 0

The value of f''(x) is positive in the interval of (π/2, 3π/2). Then the value of x will be

x = π

Then the maximum value of the function will be

And the of f''(x) is negative in the interval of [0,2π] – (π/2, 3π/2). Then the value of x will be

x = 0 and 2π

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Answer:6.25

Step-by-step explanation:

Answer:10505.50 miles

Step-by-step explanation:Step 1-\(22x^{3}-5xx^{2} +15\\10643-25+15\\10638 mi\)(this is what he knows so far from his house in Georgia to his house in Texas)

Step 2-\((10x^{3} +7xx^{2} -8x+9\\1000+49-8x+9\\8x=1058 divide it by 8x \\132.5 or 132.50\)

Step 3-\(10638-132.5=10505.5 or 10505.50\)

The mode will not change.

Given data,

58,60,53,54,60,35,58,60

Outlier is the value in a set of data that much higher or lower than other values in data.

from given data, outlier is 35.

Mode is the value in a set of data that occurs more frequently in set of data.

from given data, 60 occurs more frequently.

Hence, 60 is the mode of data.

If outlier is removed from the data set then it will not affect the mode of the data

Thus, the mode will not change.

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Answer:

D.756

Step-by-step explanation:

thanks me later

pa follow po thankyou

Answer: 5.5

Step-by-step explanation:

Plugging it into the formula, we get

2x-3 = 8

Add 3 to both sides:

2x = 11

Divide by 2 on both sides:

x = 5.5

Answer:Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3-- A

Step-by-step explanation:

Step 1

In solving 3b + 8 ≥ 14

we first  subtract both sides by 8, which will give

3b+ 8 -8 ≥ 14-8

3b  ≥ 6

Step 2

Then, divide both sides  by 3----Since  we are multiplying by a positive number, 3, the inequalities sign  will not change but will still remain the same.

3b/3  ≥ 6/3

To give answer as b ≥ 2.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Experimental probability:

Probability of yellow:

Note that as x gets larger, y gets smaller, but the product xy remains constant at 192.

In mathematics, a function is a relationship between two sets, called the domain and the range, such that each element of the domain corresponds to exactly one element of the range. A function takes an input value (or values) and produces an output value (or values) according to a specific rule or formula. The input values are the domain of the function, and the output values are the range of the function. Functions can be represented using equations, graphs, tables, or verbal descriptions. They are used to model relationships between variables in various fields of mathematics, science, engineering, economics, and many other areas.

Here,

If x and y vary inversely, this means that their product is a constant. We can use this fact to find the constant of proportionality k as follows:

k = xy

If we know that y is 24 when x is 8, we can substitute these values into the equation above to solve for k:

k = xy

= 8(24)

= 192

Now we can use this value of k to write the inverse variation function:

xy = 192

or

y = 192/x

To sketch a graph of this function for x > 0, we can plot a few points and connect them with a smooth curve. Here are some points we can use:

(x, y)

(1, 192)

(2, 96)

(4, 48)

(8, 24)

(16, 12)

(24, 8)

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Answer:

y is 0,3

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

Answer:

(0,3)

Step-by-step explanation:

Two methods:

Method 1:  General method for any equation

Method 2: Method specific for parabolas in standard form

Method 1:  General method for any equation

For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis.  The y-axis is a vertical line through the origin (0,0).

Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis).  The only movement would be up or down.

Since no left-right movement will happen, the x-coordinate is zero.

For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation.  If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".

\(y=-4x^2-x+3\)

\(y=-4(0)^2-(0)+3\)

Order of operations requires exponents before multiplication, or addition & subtraction...

\(y=-4(0)-(0)+3\)

multiplication...

\(y=0-0+3\)

addition & subtraction, from left to right...

\(y=3\)

So, when the x-value is zero, the y-value is three.  Therefore, the ordered pair representing that point is (0,3).

Method 2: Method specific for parabolas in standard form

The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).

Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)

For a parabola in standard form, the y-intercept is always at a height of "c".

So, the y-intercept would be (0,3).

Answer:

a)  $497.70

b)  392.4 square feet

c)  $1,200

Step-by-step explanation:

A regular octagon has 8 sides of equal length.

Given each side of the octagon measures 9 feet in length, and one side does not have a railing, the total length of the railing is 7 times the length of one side:

\(\textsf{Total length of railing}=\sf 7 \times 9\; ft=63\;ft\)

If the railing sells for $7.90 per foot, the total cost of the railing can be calculated by multiplying the total length by the cost per foot:

\(\textsf{Total cost of railing}=\sf 63\;ft \times \dfrac{\$7.90}{ft}=\$497.70\)

Therefore, the cost of the railing is $497.70.

\(\hrulefill\)

To find the area of the regular octagonal gazebo, given the side length and apothem, we can use the area of a regular polygon formula:

\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\;s\;a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)

Substitute n = 8, s = 9, and a = 10.9 into the formula and solve for A:

\(\begin{aligned}\textsf{Area of the gazebo}&=\sf \dfrac{8 \times 9\:ft \times10.9\:ft}{2}\\\\&=\sf \dfrac{784.8\;ft^2}{2}\\\\&=\sf 392.4\; \sf ft^2\end{aligned}\)

Therefore, the area of the gazebo is 392.4 square feet.

\(\hrulefill\)

To calculate the cost of the gazebo's flooring if it costs $3 square foot, multiply the area of the gazebo found in part (b) by the cost per square foot:

\(\begin{aligned}\textsf{Total cost of flooring}&=\sf 392.4\; ft^2 \times \dfrac{\$3}{ft^2}\\&=\sf \$1177.2\\&=\sf \$1200\; (nearest\;hundred\;dollars)\end{aligned}\)

Therefore, the cost of the gazebo's flooring to the nearest hundred dollars is $1,200.

a. To find the perimeter of the gazebo, we can use the formula P = 8s, where s is the length of one side. Substituting s = 9, we get:

P = 8s = 8(9) = 72 feet

Since one side is open, we only need to find the cost of railing for 7 sides. Multiplying the perimeter by 7, we get:

Cost = 7P($7.90/foot) = 7(72 feet)($7.90/foot) = $4,939.20

Therefore, the cost of the railing is $4,939.20.

b. To find the area of the gazebo, we can use the formula A = (1/2)ap, where a is the apothem and p is the perimeter. Substituting a = 10.9 and p = 72, we get:

A = (1/2)(10.9)(72) = 394.56 square feet

Therefore, the area of the gazebo is 394.56 square feet.

c. To find the cost of the flooring, we need to multiply the area by the cost per square foot. Substituting A = 394.56 and the cost per square foot as $3, we get:

Cost = A($3/square foot) = 394.56($3/square foot) = $1,183.68

Rounding to the nearest hundred dollars, the cost of the flooring is $1,184. Therefore, the cost of the gazebo's flooring is $1,184.

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Answer:

22  on now

Step-by-step explanation:

11+11

Answer:

should be complementary angles

The volume of the solid of revolution formed by revolving the region bounded by f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis is 16π cubic units.

To find the volume of the solid of revolution formed by revolving the region bounded by the curves f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis, we can use the method of cylindrical shells and integrate.

First, let's find the points of intersection between the two curves by setting them equal to each other:

-3x² + 8 = 3x² + 2

Rearranging the equation, we get:

6x² = 6

x² = 1

x = ±1

So, the curves intersect at x = -1 and x = 1.

To calculate the volume, we'll integrate along the x-axis from x = -1 to x = 1. The volume of each cylindrical shell can be determined by multiplying the circumference (2πy) by the height (dx), where y represents the distance from the axis of revolution to the curve at a given x-value.

The radius of the cylindrical shell, y, can be obtained by subtracting the lower curve (f(x)) from the upper curve (g(x)). Therefore, y = (3x² + 2) - (-3x² + 8) = 6x² - 6.

The integral to compute the volume of the solid can be expressed as:

V = ∫[from -1 to 1] 2π(6x² - 6) dx

V = 2π ∫[from -1 to 1] (6x² - 6) dx

Simplifying and evaluating the integral, we get:

V = 2π [2x³ - 6x] [from -1 to 1]

V = 2π [(2(1)³ - 6(1)) - (2(-1)³ - 6(-1))]

V = 2π [2 - 6 - (-2 + 6)]

V = 2π [8]

V = 16π

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