Which property explains the step shown in solving the equation?8x − 15 + 6x = 10x − 18 ⇒ 8x + 6x − 15 = 10x − 18

Answer:16

Step-by-step explanation:

Answer:

Is there a picture/ screenshot we can look at to figure out the answer to your question here?

Step-by-step explanation:

Answer:

954

Step-by-step explanation:

Answer:

1218.75

Step-by-step explanation:

25% of $975 = 243.75

Discounted price + Discount = Original Price

$975 + 243.75 = 1218.75

Answer:

$7.5

Step-by-step explanation:

From the given figure , the special angle pair relationship between ∠1 and ∠3 are known as corresponding angles and are congruent.

As given in the question,

From the given figure:

line l is parallel to line m.

t is the transversal of line l and m

Relationship between angles for the parallel lines

∠1 and ∠2  are straight angles and are supplementary

∠3 and ∠2 are interior angles and are supplementary

⇒m(∠1 + ∠2) = m(∠3+∠2)

⇒m∠1= m∠3

Therefore, from the given figure , the special angle pair relationship between ∠1 and ∠3 are known as corresponding angles and are congruent.

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The single transformation that will cause the same effect as that of these two transformation is  the reflection of shape in the x-axis .

(x,y) -----------> (x,−y)

The change done to a shape on a coordinate plane by reflection ,translation and rotation is a called Transformation .

It is given that a shape is rotated to its origin

Then its image is reflected in the y axis.

The single transformation that would have the same result as the two transformations is (x,y) to (x,−y)

reflection of shape in x-axis .

The x stays the same, but the y changes sign.)

The change caused by Rotation by 180° about the origin,

(x,y) ------->  (−x,−y)

The change caused when reflected in the y-axis,

(x,y) --------> (−x,y)

Therefore the single transformation that will cause the same effect as that of these two transformation is  the reflection of shape in the x-axis .

(x,y) -----------> (x,−y)

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Answer:

D. (8,1)

Step-by-step explanation:

hope this helps :)

The statement "there exists a function f such that f(x) < 0, f'(x) > 0, and f''(x) < 0 for all x" is True.

1. f(x) < 0: This means the function is always negative.
2. f'(x) > 0: This means the function is always increasing.
3. f''(x) < 0: This means the function is always concave down.

A function that satisfies all these conditions is f(x) = -e^x.

1. For all x, f(x) = -e^x is always negative because e^x is always positive and the negative sign in front makes it negative.
2. The first derivative of f(x) is f'(x) = -e^x, which is always positive because e^x is always positive and the negative sign cancels out.
3. The second derivative of f(x) is f''(x) = e^x, which is always negative because e^x is always positive.

Therefore, the statement is true.

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For the following scenario where a researcher wanted to test the ratings of three different brands of paper towels with 7 reviewers each, you would utilize Friedman's rank test.

For the given scenario, the appropriate test to use would be the Friedman's rank test. This is because we have three different brands of paper towels, and each brand is rated by 7 reviewers.

The Friedman's test is used to determine if there are significant differences among the groups in a repeated measures design, where the same individuals are rated on multiple occasions. Therefore, it is the appropriate test for this scenario where the ratings are collected from multiple reviewers for each brand.

This test is also appropriate because there are more than two related groups being compared (three brands of paper towels), and the data is likely ordinal (ratings). The Wilcoxon sign rank test is typically used when comparing only two related groups.

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EXPLANATION

Given that the arrow function is as follows:

The instantaneous velocity is given by the following relationship:

For △t = 0.1:

Computing the powers:

Multiplying numbers:

Removing the parentheses and adding numbers:

For △t=0.01

Computing the powers:

Multiplying numbers:

Adding numbers:

For △t = 0.001

Applying the same reasoning than before, give us the following result:

Answer:

Mitch=60*4=240

Jo=60*3=180

Step-by-step explanation:

420/7=60

The dimension of the fountain will be 20ft x 20ft x 2.5ft. Let the width of the fountain be x ft. The length of the fountain will be x ft as well. The height of the fountain will be 2.5 ft.

Therefore, the volume of the fountain will be:V = (length) × (width) × (height)

V = (x) × (x) × (2.5)

V = 2.5x²

Now, let us calculate the area of the sidewalk. The area of the sidewalk is a rectangular region with the dimensions (length + 2) × (width + 2). This is because there are two additional feet on both sides of the length and width of the fountain. Therefore, we can represent the area of the sidewalk as follows: A = (length + 2) × (width + 2)

A = (x + 2) × (x + 2)

A = (x + 2)²

Now, since the total area of the fountain and sidewalk is 700ft², we can write an equation as follows: 2.5x² + (x + 2)² = 700 Expanding and solving the quadratic equation

we get,x² + 4x - 348 = 0

(x + 19)(x - 15) = 0

Since the width of the fountain cannot be negative, we will only consider the positive root, x = 15 feet.

Therefore, the dimensions of the fountain will be 20ft x 20ft x 2.5ft.

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Answer:

Seems to be no correlation at all.

Answer:

anges between -1 and +1 and quantifies the direction and strength of the linear association between the two variables. The correlation between two variables can be positive (i.e., higher levels of one variable are associated with higher levels of the other) or negative (i.e., higher levels of one variable are associated with lower levels of the other).

The sign of the correlation coefficient indicates the direction of the association. The magnitude of the correlation coefficient indicates the strength of the association.

For example, a correlation of r = 0.9 suggests a strong, positive association between two variables, whereas a correlation of r = -0.2 suggest a weak, negative association. A correlation close to zero suggests no linear association between two continuous variables.

It is important to note that there may be a non-linear association between two continuous variables, but computation of a correlation coefficient does not detect this. Therefore, it is always important to evaluate the data carefully before computing a correlation coefficient. Graphical displays are particularly useful to explore associations between variables.

The figure below shows four hypothetical scenarios in which one continuous variable is plotted along the X-axis and the other along the Y-axis.

Step-by-step explanation:

To solve this problem, we need to first determine the dimensions of the box after the squares have been cut and the sides folded up. Let's call the length of the square side x. From the diagram, we can see that the length of the box will be 12 - 2x, and the width will also be 12 - 2x. The height of the box will be x.

To find the volume of the box, we multiply these dimensions together:
V = (12 - 2x)(12 - 2x)(x)

Expanding this expression, we get:
V = 4x^3 - 48x^2 + 144x

Now we need to find the maximum volume. We can do this by finding the value of x that makes the derivative of V (dV/dx) equal to zero:

dV/dx = 12x^2 - 96x + 144
Setting this equal to zero and solving for x, we get:

x = 2 cm or x = 6 cm

We can discard the solution x = 2 cm, because if we plug it back into the original equation for V, we get a volume of zero (since the height of the box would be zero).

So the optimal value of x is x = 6 cm. Plugging this back into the expression for the volume, we get:

V = 4(6)^3 - 48(6)^2 + 144(6) = 864 cm^3

Therefore, the dimensions of the finished box are:

Length = 12 - 2x = 12 - 2(6) = 0 cm (invalid)

Width = 12 - 2x = 12 - 2(6) = 0 cm (invalid)

Height = x = 6 cm

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Answer:

\(x=\frac{-3+\sqrt{29} }{10}\) and \(x=\frac{-3-\sqrt{29} }{10}\)

Step-by-step explanation:

Solution is attached

Answer:

X= 1

Step-by-step explanation:

5x^2 +5x-4=2x-3.        25x+5x=30x

25x+5x-4=2x-3.          

30x-4=2x-3.          30x-2= 28x

28x-4=-3

add +4 to both sides

28x/28 = 1/28

x=1

Answer:

25

Step-by-step explanation:

Given expression:

\(5^{1125} \times 0.2^{1123}\)

Rewrite 0.2 as a fraction:

\(\implies 5^{1125} \times \left(\dfrac{1}{5}\right)^{1123}\)

\(\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:\)

\(\implies 5^{1125} \times \dfrac{1^{1123}}{5^{1123}}\)

Simplify the numerator by applying the exponent rule a¹ = a:

\(\implies 5^{1125} \times \dfrac{1}{5^{1123}}\)

\(\textsf{Apply the fraction rule} \quad a \times \dfrac{b}{c}=\dfrac{ab}{c}:\)

\(\implies \dfrac{5^{1125} \times1}{5^{1123}}\)

\(\implies \dfrac{5^{1125}}{5^{1123}}\)

\(\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:\)

\(\implies 5^{1125-1123}\)

Simplify the exponent:

\(\implies 5^{2}\)

Simplify:

\(\implies 5 \cdot 5\)

\(\implies 25\)

Answer and explanation:
Part A: A correlation coefficient of 0.98 indicates a very strong positive correlation between the number of flowers and the day in March. This means that as the days in March increase, the number of flowers also increases. Based on the scatter plot, it appears that the correlation coefficient of 0.98 is a reasonable value for this data since the points show a clear upward trend with moderate spread from the line of best fit.

Part B: A scenario that would be a causal relationship for flowers in a garden could be the amount of sunlight received by the plants. If a study was conducted where half of the garden received more sunlight than the other half, and the number of flowers was measured at the end of the month, a causal relationship between sunlight and the number of flowers could be established. The hypothesis would be that the plants receiving more sunlight will have more flowers than those receiving less sunlight.

20.00

...............

The series can be written as:

∞∑k=1 (-1)^(k+1) / k^(4k-1)

To determine how many terms of the series must be summed to ensure that the remainder is less than some given value, we can use the remainder formula for alternating series:

|R_n| <= a_(n+1)

where R_n is the remainder after summing the first n terms, and a_(n+1) is the absolute value of the (n+1)-th term.

So, we need to find the smallest value of n such that:

|(-1)^(n+2) / (n+1)^(4n+3)| < ε, where ε is the given error tolerance.

We can simplify this inequality as:

1 / (n+1)^(4n+3) < ε

Taking the natural logarithm of both sides, we get:

(4n+3) ln(n+1) > ln(1/ε)

Using numerical methods, we can solve for n. Alternatively, we can use some approximations to get an estimate.

For large n, we have ln(n+1) ≈ ln(n), so we can simplify the inequality as:

4n ln(n) > ln(1/ε)

or

n > ln(ln(1/ε)) / 4ln(n)

We can start with n = 1000 and use this formula to check if the remainder is less than ε. If not, we can increase n by a factor of 2 and try again. Once we find the smallest n that satisfies the inequality, we can sum the first n terms to get an approximation of the series with the desired error tolerance.

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Answer:

16+ inches i think

Step-by-step explanation:

beacuse the with is 16 meanimg it nedds to be the same or bigger

Answer:

Hi there!

Your answer is:

It costs 15$ for an 18 year old fan!

Step-by-step explanation:

This is due to the fact that the line y = 15 has a shaded in circle as an endpoint. When an endpoint is shaded, we know that THAT is the actual value.

Hope this helps!

When a right rectangular prism with a square base is sliced in a direction parallel to the base, the resulting cross section is a square.

The parallel plane will intersect all the edges of the square base at the same distance from the top face of the prism, creating a new square.

The size of the resulting square will depend on the distance between the plane and the top face of the prism. If the plane is closer to the top face, the resulting square will be larger. If the plane is further away, the resulting square will be smaller.

It is important to note that if the plane is not parallel to the base, the resulting cross section will be a rectangle. This is because the plane will intersect the edges of the base at different distances from the top face of the prism, creating a new rectangle.

Understanding the resulting cross section of a sliced right rectangular prism can be useful in real-world applications, such as in architecture and engineering, where precise measurements and cutting are necessary for construction projects.

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Using the test hypothesis, at the 0.01 level of significance, the critical t-value is -2.821.

The appropriate test for this scenario is a one-sample t-test with a null hypothesis that the population mean hippocampal volume for adolescents with alcohol use disorder is equal to the normal volume of 9.02 cm cubed and an alternative hypothesis that it is less than 9.02 cm cubed.

The null and alternative hypotheses are:

Null hypothesis: The population mean hippocampal volume for adolescents with alcohol use disorder is equal to 9.02 cm cubed.

Alternative hypothesis: The population mean hippocampal volume for adolescents with alcohol use disorder is less than 9.02 cm cubed.

The test statistic can be computed as:

t = (x - μ) / (s / √(n))

where x is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the values given in the problem, we get:

t = (8.08 - 9.02) / (0.7 / √(10)) = -3.29

Using a t-table or a calculator with a t-distribution function, we can find the p-value associated with this t-value and degrees of freedom (df) equal to 9 (n - 1).

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Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

Answer:

Step-by-step explanation:

f(x)=2x^2-9x-18

(2x+3)(x-6)

The rate at which water is being poured into the conical paper cup when the water level is 4 cm is 707.1067 cm3 / 353.5534 seconds = 2 cm/sec.

The rate at which water is being poured into the conical paper cup with a height of 30 cm and a radius of 10 cm when the water level is 4 cm is determined by the volume of water that must be added to the cup in order to raise the water level from 0 cm to 4 cm. The volume of a cone is

V = (1/3)πr2h.

Therefore, the volume of water added to the cone when the water level is 4 cm is

V = (1/3)π × 102 × (30 - 4) = 707.1067 cm3.

Since the water level is rising at a rate of 2 cm/sec, it will take 707.1067 cm3 / 2 cm/sec = 353.5534 seconds to add the necessary water to the cup to raise the water level to 4 cm.

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The short piece is 23 meters shorter than the long pieces so the length of the short piece is 6 meters.

To find the lengths of the two pieces of parachute material, we can set up an equation using the given information. Let's denote the length of the long piece as "x" meters.
According to the question, the short piece is 23 meters shorter than the long piece. This means the length of the short piece can be represented as "x - 23" meters.
The total length of the banner is given as 35 meters. Therefore, we can set up the equation:
x + (x - 23) = 35
Combining like terms, we get:
2x - 23 = 35
To isolate the variable, we add 23 to both sides of the equation:
2x = 58
Finally, we divide both sides of the equation by 2 to solve for x:
x = 29
So, the length of the long piece is 29 meters.
To find the length of the short piece, we substitute the value of x into the expression x - 23:
29 - 23 = 6
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The length of the colourful banner made by the students of U-Math for their homecoming parade is 35 meters. The banner is made of two pieces of parachute material. Let's denote the length of the long piece as x meters and the length of the short piece as (x - 23) meters. The length of the short piece is 6 meters.

According to the information given, the short piece is 23 meters shorter than the long piece. This can be expressed as:

(x - 23) = (length of the short piece)
x = (length of the long piece)

To find the lengths of the two pieces, we can set up an equation using this relationship:

x + (x - 23) = 35

By simplifying the equation, we can solve for x:

2x - 23 = 35
2x = 35 + 23
2x = 58
x = 58 / 2
x = 29

Therefore, the length of the long piece is 29 meters.

To find the length of the short piece, we can substitute the value of x into the equation:

x - 23 = 29 - 23
x - 23 = 6

Hence, the length of the short piece is 6 meters.

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