Which represents the reflection of f(x) = StartRoot x EndRoot over the x-axis? A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, negative 1, negative 2. A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries 1, 0, undefined, undefined. On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the left through (negative 4, negative 2). On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the right through (2, negative 4).

Answer:

what is the question...

Step-by-step explanation:

Answer:

43721/100000

Step-by-step explanation:

To write 0.43721 as a fraction you have to write 0.43721 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.43721 = 0.43721/1 = 4.3721/10 = 43.721/100 = 437.21/1000 = 4372.1/10000 = 43721/100000

Answer:

43,721/99,999

Step-by-step explanation:

A non-terminating, repeating decimal can be written as a fraction.

How many digits repeat?

If the digits 43721 repeat, and the decimal number is

0.437214372143721..., then we can convert it into a fraction.

Let x = 0.437214372143721...                     Eq. 1

Then 100,000x = 43,721.4372143721...        Eq. 2

Now we subtract Eq. 1 from the Eq. 2.

      100,000x = 43,721.4372143721...

(-)                  x =          0.4372143721...

--------------------------------------------------

       99,999x = 43,721

x = 43,721/99,999

Answer: 43,721/99,999

Answer:

Angle A: 45, Angle B: 110, and Angle C: 25.

Step-by-step explanation:

A triangle is 180 degrees total. One angle is 25 degrees. 180- 25 leaves us with 155 degrees. We know that one angle is more than 65 degrees. 155-65 is 90. 90/2 is 45. Therefore, x= 45. Angle A: 45, Angle B: 110, and Angle C: 25. We can double check our work by adding 45+110+25= 180

Step-by-step explanation:

A+B+C =. 180°

let A be x then B is x+65

A/q,

x + (x+65)+ 25° = 180°

2x +90° =180°

2x = 180°-90°

x= 90°/2

x= 45°

So, A = 45°, B= 45°+65° =110°

please give brainliest

Answer:

Total capacity of the water tank is 400 gallons

Rate of change in water level is 20 gallons per hour

Step-by-step explanation:

The graph attached represents the gallons of water in a water tank with respect to the number of hours since it was completely filled.

The total capacity of the water tank is represented by the y-intercept of the graph that is 400 gallons.

Now to calculate the rate of change in water level we will take two points on the given line and find the slope.

There are two points (0, 400) and (5, 300) on the line.

So the slope of the line is (400-300)/(0-5)=  -100/5=  -20

This minus notation of slope shows that level of water is reducing and rate of change in water level is 20 gallons per hour.

The trigonometric ratios for the angle A are given as follows:

The six trigonometric ratios are defined as follows:

Applying the Pythagorean Theorem, the hypotenuse of this triangle is given as follows:

c² = a² + b²

c² = 10² + b²

c = sqrt(10² + 6²)

c = 11.66.

For angle A, we have that:

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a) Hypothesis:H0: µ1= µ2 (There is no difference in the mean value of sales sold by male and female agents in the company.)Ha: µ1≠ µ2 (There is a difference in the mean value of sales sold by male and female agents in the company.)b) The hypothesis test is two-tailed.

c) Decision rule:Here, we have σ1 and σ2 values given. So, we will use the z-test for two means.Therefore, the decision rule for a two-tailed test using z-test for two means is:Reject H0 if z > 1.96 or z < -1.96Otherwise, fail to reject H0. d) The formula for calculating the value of the statistical test is given by:z = (x1 - x2) / √((σ12 / n1) + (σ22 / n2))where,x1 = 213, x2 = 131, σ1 = 35×3, σ2 = 35×1, n1 = 71 and n2 = 83Putting the values in the above formula, we getz = (213 - 131) / √((35×3)2 / 71 + (35×1)2 / 83)≈ 10.54e) As the calculated value of z (10.54) is greater than 1.96, we reject the null hypothesis. Hence, there is a difference in the mean value of sales sold by male and female agents in the company.

Therefore, we conclude that there is a difference in the average value of sales sold by male agents and female agents in the company.

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Answer:

y=60

Step-by-step explanation:

\(15=\frac{y}{-4} \\(15)*-4=(\frac{y}{-4} )*-4\\-240=y\)

Answer:

D. Fail to reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.

Step-by-step explanation:

Let μ = mean time to complete a role-playing game.

The company claims that their role-playing games take over 65 hours to complete, so the hypotheses are:

H₀: μ = 65       H₁: μ > 65

Therefore, this is a one-tailed test.

The significance level is 1%, so α = 0.01.

Find the value of the test statistic (z):

\(\textsf{sample mean }\overline{x}=63,\quad \sigma=10, \quad n=300\)

\(\implies z=\dfrac{\overline{x}-\mu}{\sigma / \sqrt{n}}=\dfrac{63-65}{10 / \sqrt{300}}=-2\sqrt{3}=-3.4641...\)

Using the “Percentage Points of The Normal Distribution” table, the critical value is z = 2.3263 meaning the critical region is Z > 2.3263.

Since z = -3.4641... < 2.3263, the observed value of the test statistic lies outside the critical region.  Therefore, the result is not significant.

Conclusion

There is sufficient evidence at the 1% level of significance to fail to reject H₀ and to oppose the alternative hypothesis that the mean time to complete the role-playing game is more than 65 hours.

Answer:

A) Reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.

Step-by-step explanation:

The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 1% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.

The equation for the line of fit for the data given by the table at the end of the answer is as follows:

y = 0.89x + 0.54.

The regression line is obtained inserting the points of the table into a linear regression calculator.

From the table given at the end of the answer, the points are given as follows:

(5,4), (6,6), (9,9), (10,11), (14,12).

Inserting these points into a calculator, the equation for the line of fit for the data given by the table at the end of the answer is as follows:

y = 0.89x + 0.54.

The table is given at the end of the answer. From the options, the table is not the same, however you just have to follow the same procedure to obtain your line of fit.

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Answer:

y= 1.31x + 0.02

Step-by-step explanation:

got it right

The height of a cylinder having surface area of 78π and radius of 3 inches is 10 inches.

What is surface area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

The surface area of a cylinder is = 78π in²

The radius of a cylinder is = 3 in

The total surface area of a cylinder is equal to the sum of the areas of all its faces. The total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.

The formula is given as -

2πr(h + r)

Substitute the values into the equation -

TSA = 2πr(h + r)

78π = 2π(3)(h + 3)

78π = 6π(h + 3)

78π = 6πh + 18π

6πh = 78π - 18π

6πh = 60π

h = 60π/6π

h = 10 in

Therefore, the height is obtained as 10 inches.

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The surface area of a cylinder with a radius of 3 inches is 78π square inches. What is the height of the cylinder in inches? (Do not enter units)

Answer:

2

Step-by-step explanation:

Answer:

vertex = (2, - 14 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k) are the coordinates of the vertex and a is a multiplier

Given

f(x) = x² - 4x - 10

Using the method of completing the square

add/ subtract ( half the coefficient of the x- term )² to x² - 4x

f(x) = x² + 2(- 2)x + 4 - 4 - 10

     = (x - 2)² - 14 ← in vertex form

with vertex (h, k ) = (2, - 14 )

Answer:

r=8

Step-by-step explanation:

so first distribute -2

so you get -140=-16r-12 then add 12 to both sides to get -16r by itself

so you have -128=-16r divide both sides by -16

the - cancel each other out so you get 8=r

hope this helps

Answer:

25.43

Step-by-step explanation:

Correct trust me!

Answer:

9

Step-by-step explanation:

let the price of one can food be x,

4x=17.20

x=4.3

number of can foods that can be purchased = 38.70/x = 38.7/4.3 = 9

4CANS=$17.20

$38.70

cross multiply

4 multiply by 38.70 =154.8 divide by 17.20

ANSWER = 9

Answer:

28

Step-by-step explanation:

\(7+7+7+7 = 14+7+7 = 21+7 = 28\)

O sino:

\(7*4 = 28\)

To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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Answer: need brainliest

Step-by-step explanation:

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-\frac{5}{2}})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{\left( -\frac{5}{2} \right)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}} \implies \cfrac{-8+\frac{5}{2}}{3+3}\implies \cfrac{~ \frac{ -16+5}{2 } ~}{6}\implies \cfrac{~ \frac{ -11}{ 2} ~}{6} \\\\\\ \cfrac{~ \frac{ -11}{ 2} ~}{\frac{6}{1}}\implies \cfrac{ -11}{ 2}\cdot \cfrac{1}{6}\implies -\cfrac{11}{12}\)

Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure, the value of k is 9.

Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure. They are formed when two lines intersect, and they are always congruent, or equal in measure.

That if one angle measures 130°, the measure of its vertical angle must also be 130°.

If the other angle has a measure of (8k + 58)°, and it is a vertical angle to the angle that measures 130°, then it must also have a measure of 130°.

We can set up the equation 130 = 8k + 58 and solve for k to find the value of k.

Subtracting 58 from both sides gives us 72 = 8k. Dividing both sides by 8 gives us k = 9.

Therefore, the value of k is 9.

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The surface area generated by revolving the curve around the y-axis is 40π.

To find the surface area generated by revolving the curve around the x-axis and y-axis, we can use the formula:

Surface area = 2π ∫\(a^b\) y √(1 + \((dy/dx)^2\)) dx

where y is the function of x in terms of the parameter t, a and b are the lower and upper bounds of t, and dy/dx can be found as dy/dx = (dy/dt) / (dx/dt).

a. When revolving around the x-axis, the function y becomes the radius, so we have:

Surface area = 2π ∫\(0^9\) 5t √(1 + \((5/5)^2\)) dt

= 10π ∫\(0^9\) t dt

= 10π \([t^2/2]_0^9\)

= 405π

Therefore, the surface area generated by revolving the curve around the x-axis is 405π.

b. When revolving around the y-axis, the function x becomes the radius, so we need to express y in terms of x. From the given equation x = 5t, we have t = x/5, and substituting this into the equation y = 5t gives:

y = x

So we have:

Surface area = 2π ∫\(0^{45\)x √(1 + \((1/5)^2\)) dx

= 10π ∫\(0^4\) x dx

= 40π

Therefore, the surface area generated by revolving the curve around the y-axis is 40π.

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The constant of proportionality from the proportional relationship is 3/2

A proportional relationship is a mathematical relationship between two variables in which their ratio is always equal. In other words, if x and y are in a proportional relationship, then y/x is always equal to a constant value, called the constant of proportionality. This can be expressed mathematically as y = kx, where k is the constant of proportionality and x and y are the variables in the relationship.

To determine the constant of proportionality, we need to use the proportional relationship given.

y = kx

k = constant of proportionality

3/8 = k(1/4)

Solve for k

k = [(3/8) / (1/4)]

k = 3/2

k = 1.5

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Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Answer:

x=−5

Step-by-step explanation:

−3x+5=20

Step 1: Subtract 5 from both sides.

−3x+5−5=20−5

−3x=15

Step 2: Divide both sides by -3.

−3x/-3 = 15/-3

\(\huge\text{Hey there!}\)

\(\large\text{-3x + 5 = 20}\\\large\text{SUBTRACT by 5 to BOTH SIDES}}\\\large\text{-3x + 5 - 5 = 20 - 5}\\\large\text{Cancel out: 5 - 5 because that gives you 0}\\\large\text{Keep: 20 - 5 because it gives you 15 and it helps us solve for x}\\\large\text{20 - 5 = 15}\\\large\text{New equation: -3x = 15}\\\large\text{DIVIDE by -3 to BOTH SIDES}\)

\(\bold{\dfrac{-3}{-3}=\dfrac{15}{-3}}\\\\\bold{Cancel\ out: \dfrac{-3}{-3}\ because\ it\ gives\ you\ 1}\\\\\bold{Keep: \dfrac{15}{-3}\ because\ it\ gives\ you\ x}\)

\(\bold{x = \dfrac{15}{-3}}\)

\(\boxed{\boxed{\bold{Answer: x = -5}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

m=1

Step-by-step explanation:

See the attached above.

Good luck :')

Answer:

Step-by-step explanation:

you add both $275.00 and $250.00 ($525.00) then and $3.00 and $3.50 ($6.50) then divide $525.00 by $6.50 and then you answer would be $88.00

so c = $88.00

Answer:

3.50c + 250.00 = 3.00c + 275.00

Step-by-step explanation:

(a) To show that ∑ℓi(x) = 1 for all x∈R, we need to use the properties of the Lagrange basis. The Lagrange basis functions, ℓi(x), satisfy the property that ℓi(xi) = 1 and ℓi(xj) = 0 for j ≠ i.

Now, let's consider the sum ∑ℓi(x). Since ℓi(xi) = 1 for each i, we can rewrite the sum as ∑ℓi(x) = ∑ℓi(x)ℓi(xi).

Using the property that ℓi(xj) = 0 for j ≠ i, we can simplify the sum to ∑ℓi(x) = ℓ0(x)ℓ0(x0) + ℓ1(x)ℓ1(x1) + ... + ℓn(x)ℓn(xn).

Now, recall that ∑ℓi(x)ℓi(xi) = 1, so the sum simplifies to ∑ℓi(x) = 1.

Therefore, we have shown that ∑ℓi(x) = 1 for all x∈R.

(b) To prove the equation f(x) - p(x) = ∑[f(x) - f(xi)]ℓi(x), we need to use the properties of the Lagrange interpolation.

First, recall that p(x) = ∑f(xi)ℓi(x).

Now, subtract p(x) from both sides of the equation: f(x) - p(x) = f(x) - ∑f(xi)ℓi(x).

Next, distribute the subtraction: f(x) - p(x) = f(x) - f(x0)ℓ0(x) - f(x1)ℓ1(x) - ... - f(xn)ℓn(x).

Now, notice that we can rewrite f(x) - f(xi) as ∑[f(x) - f(xi)]ℓi(x), since the Lagrange basis functions have the property ℓi(xi) = 1 and ℓi(xj) = 0 for j ≠ i.

Therefore, we have proved the equation f(x) - p(x) = ∑[f(x) - f(xi)]ℓi(x).

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The volume of the cube with a side length of 5 millimeters is 125,000 cubic millimeters. The new function for the volume of the cube with cubic millimeters as the unit is v(x) =

\(1000x^3\)

To convert from cubic centimeters to cubic millimeters, we need to multiply by 1000 (since 1 cubic centimeter = 1000 cubic millimeters). Therefore, the new function v(x) multiplies the original function V(x) by 1000.

For example, if we want to find the volume of a cube with a side length of 5 millimeters, we can use the new function v(x) as follows: v(5) =

\(1000(5^3)\)

= 1000(125)

= 125,000 cubic millimeters.

To convert a function from cubic centimeters to cubic millimeters, we need to multiply the function by 1000. The new function for the volume of a cube in cubic millimeters is v(x) =

\(1000x^3\)

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There are 130 marbles in the bag. Given Data Ratio of the number of red marbles to the number of blue marbles = 4 : 7. Ratio of the number of blue marbles to the number of purple marbles = 2 : 3. There are 32 red marbles in the bag.We need to find out the total number of marbles in the bag.

First, we need to find out the number of blue marbles. Let's assume that there are 4x red marbles in the bag, then we can write the number of blue marbles as 7x according to the given ratio of red marbles to blue marbles.

Now, let's use the second ratio to find out the number of purple marbles. We know that the ratio of blue marbles to purple marbles is 2 : 3, which means for every 2 blue marbles, there are 3 purple marbles. Therefore, we can write the number of purple marbles as (3/2)×7x = 10.5x.

Now, we know the number of red, blue, and purple marbles. We are given that there are 32 red marbles. Therefore, we can write the following equation:

4x = 32

⇒ x = 8

Substituting the value of x in our calculations above, we get the number of blue marbles as:7x = 7×8 = 56And the number of purple marbles as:

(3/2)×7x

= (3/2)×7×8

= 42

Now, we can find the total number of marbles as the sum of the number of red, blue, and purple marbles:

Total number of marbles = Number of red marbles + Number of blue marbles + Number of purple marbles

= 32 + 56 + 42

= 130

Therefore, there are 130 marbles in the bag.

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Using diagonals from a common vertex, 143 triangles could be formed from a13-gon. But there will be 47 distinct triangles in total.

If we choose a common vertex of an n-gon, we can form (n-2) triangles by drawing diagonals from that vertex to each of the other vertices of the polygon. This is because every vertex, except for the adjacent vertices, can be connected to the chosen vertex to form a triangle.

Therefore, for a 13-gon, we can choose any one of the 13 vertices as the common vertex and form (13-2) = 11 triangles using diagonals from that vertex. We can repeat this process for each of the 13 vertices to form a total of 13*11 = 143 triangles.

However, we need to be careful not to count the same triangle multiple times. In the process of forming triangles from a common vertex, we may end up forming some of the same triangles using different vertices. For example, the triangle formed by connecting vertices 1, 6, and 9 is the same as the triangle formed by connecting vertices 9, 6, and 1.

To avoid double-counting, we can divide the total number of triangles by 3, since each triangle is counted 3 times in the process of forming triangles from a common vertex. Therefore, the number of distinct triangles that can be formed using diagonals from a 13-gon is 143/3 = 47.

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Answer:

14 5/8

Step-by-step explanation: