A triangle on a coordinate plane is translated according to the rule tâ€"8, 4(x, y). which is another way to write this rule? (x, y) → (x 4, y â€" 8) (x, y) → (x â€" 4, y â€" 8) (x, y) → (x â€" 8, y 4) (x, y) → (x 8, y â€" 4)

Answer:

Step-by-step explanation:

{0, -8, -16, -24,...} here you add -8 each time so the rule is

\(a_{1} = 0, a_{n} = a_{n-1} -8\)

the 71 term is

\(a_{71} = 0 + (71 - 1) * (-8) = 70 * (-8) = -560\)

Answer:

268,840

Step-by-step explanation:

286,000 x 6% commission= 17,160. you then subtract this commission from the sold price of 286000=$17160

The null and alternative hypotheses are:

H0: β1 = 0 (The slope is not significant.)

H1: β1 ≠ 0 (The slope is significant.)

Here,β1=0.0943seβ1=0.107α=0.05

Test the slope significance and find the t-test statistic.

We need to find the t-test statistic so that we can compare it with the t-distribution, whose distributional properties we know, to determine if we can reject or fail to reject the null hypothesis.t-test statistic is calculated by dividing the value of β1 by its standard error (seβ1) and taking the absolute value of this quotient.

t-test statistic = | β1/seβ1 | = |0.0943/0.107| = 0.881

The degrees of freedom (df) associated with this t-test are df = n - 2, where n is the sample size for the explanatory variable x.

In this problem, the decision rule and conclusion are as follows:

Decision Rule: Reject the null hypothesis if |t-test statistic| > tc where tc is the critical value obtained from the t-distribution with df degrees of freedom and a significance level of α/2 in each tail.

Conclusion: The slope is not significant if we fail to reject the null hypothesis, but the slope is significant if we reject the null hypothesis. Since the t-test statistic (0.881) is less than the critical value (1.987), we fail to reject the null hypothesis. Therefore, we conclude that the slope is not significant.

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Answer:

Both answers are A

Step-by-step explanation:

Answer:

Step-by-step explanation:

iiuiuij

The distance Lilliana walked and jogged is equivalent to 126,720 inches.

Lilliana's total distance can be converted to inches by multiplying 10,560 feet by 12 inches/foot.

We must apply the following conversion factors in order to convert the distance Lilliana traveled from miles to inches:

5280 feet make up a mile.

12 inches make one foot.

We must first convert 0.5 miles to inches:

A half-mile equals 0.5 x 5,280 feet, or 2,640 feet.

The conversion of 1.5 miles to feet is next:

5,280 feet times 1.5 miles equals 7,920 feet.

The distance Lilliana jogged and walked can now be added:

10,560 feet is the total distance (2,640 feet plus 7,920 feet).

We can multiply this measurement by 12 to get the inch equivalent:

12,680 inches divided by 10,560 feet equals 126,720 inches.

In order to convert the distance traveled by Lilliana in miles to inches, the following assertions are accurate:

Lilliana covered 126,720 inches in all.

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750 mL is equivalent to 25.36 oz.

When measuring liquids, the metric system and the US customary system are commonly used. In the metric system, the standard unit of measurement for liquids is milliliters (mL) and in the US customary system, it's ounces (oz).

To convert between these units, you can use a conversion factor.

One way to convert mL to oz is to use the conversion factor of 1 oz = 29.5735 mL. To find the number of ounces in 750 mL, you can use this conversion factor to set up an equation:

750 mL = x oz

Where x is the number of ounces you want to find. To solve for x, you can divide both sides of the equation by the conversion factor:

x = 750 mL / 29.5735 mL/oz

x = 25.36 oz

It's important to note that this is an approximation and for more accurate measurements, you should use an online calculator or consult a chart.

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It will take 56 days for the lilypad to cover the entire pond. On day 28, the lilypad covers 1/2 of the pond, as we saw earlier.

The lilypad doubles in size each day, which means that if it covers a certain fraction of the pond on day n, it will cover twice that fraction on day n+1. In other words, if the lilypad covers 1/2^k of the pond on day k, then it will cover 1/2^(k-1) of the pond on day k+1.

If we let n be the number of days it takes for the lilypad to cover the entire pond, then we can say that on day n-28, the lilypad covers 1/2 of the pond (since on day n-28, the lilypad will be half the size of what it is on day n). Therefore, we want to solve for n-28 when the lilypad covers the entire pond, which is equivalent to the lilypad doubling in size 28 times:

1/2 * 2^28 = 2^(28-n+28)

Simplifying, we get:

2^(n-28) = 2^28

Taking the logarithm base 2 of both sides, we get:

n-28 = 28

Solving for n, we get:

n = 56

Therefore, it will take 56 days for the lilypad to cover the entire pond. On day 28, the lilypad covers 1/2 of the pond, as we saw earlier.

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Answer:

D

Step-by-step explanation:

fastest way to find out the answer is to replace each solution with the xs of the equation and see if it is Equal to 4. the only solution that is equal to 4 is D)1/3

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

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

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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Answer:

he paid $37 is the answer for the question

9514 1404 393

Answer:

  $148

Step-by-step explanation:

The coupon saved ...

  0.20 × $185 = $37.00

When that amount is subtracted from the $185 price, the amount is ...

  $185 -37 = $148

Jose pays $148.

_____

Comment on the wording

It seems the question answers itself in the first sentence. Jose bought the bike for $185. If that is what he bought it for, that is what he paid.

We assume the intended wording is something like, "Jose bought a bike with a marked price of $185."

Answer:

Step-by-step explanation:

18

Answer:

c e f

Step-by-step explanation:

C. All rotations take one half of the triangle to the other half of the triangle

E. None of the sides of the triangle have the same length

F. None of the angles of the triangle have the same measure

If a shape has a rotation symmetry, then the shape will look exactly the same after rotation. The conclusions to reach for a triangle that has a rotation symmetry are:

A. All sides of the triangle have the same length

B. All angles of the triangle has the same measure

Of all kinds of triangle, only an equilateral triangle has a rotational symmetry.

This means that:

The above points imply that: options (a) and (b) are true

See attachment for an illustration of rotation symmetry of a triangle.

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a. Olivia's new elevation is given as follows: 21.55 m.

b. The coach's elevation is of: 28.31 m.

The elevations are obtained using arithmetic operations, considering the current elevations given by the image shown at the end of the answer along with the operations determined by the texts.

Olivia's elevation is given as follows:

11.8 m.

Olivia climbs 9.75 meters higher than her current elevation, hence her new elevation is given as follows:

11.8 + 9.75 = 21.55 m.

Tristan's elevation is given as follows:

7.45 m.

The climbing coach is located 3.8 times as high as Tristan, hence his elevation is given as follows:

7.45 x 3.8 = 28.31 m.

The table is given by the image shown at the end of the answer.

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Answer: You plug in y as 0 into your equation.

Step-by-step explanation:

Do the above thing OK.

Answer:

-24/5

Step-by-step explanation:

which is bigger -24/5 or -11/2?

-24/5 = -4.8

-11/2 = -5.5

-5.5 < -4.8

So, -24/5 is bigger.

Step-by-step explanation:

1/5 + 3/5 = 3/5 + 1/5 = 4/5

I am not sure what your teacher wants to see on the right side of the second equation.

it would be the whole equation again :

4/5 = 1/5 + 3/5 = 3/5 + 1/5

(a) The expression for a Riemann sum of a function f on an interval [a, b] is Δx = (b-a)/n

(b) If f(x)⩾ 0, then the geometric interpretation of a Riemann sum is infinity

(c) If f(x) takes on both positive and negative values, then the geometric interpretation of a Riemann sum is infinity

Riemann sums are an important tool in calculus for approximating the area under a curve. They are used to estimate the value of a definite integral, which represents the area bounded by the curve and the x-axis on a given interval. In this explanation, we will discuss the expression for a Riemann sum, its notation, and its geometric interpretation.

(a) Expression for a Riemann sum:

A Riemann sum is an approximation of the area under a curve using rectangles. We divide the interval [a, b] into n subintervals, each of length Δx=(b−a)/n. The notation used to represent this is:

Δx = (b-a)/n

(b) Geometric interpretation of a Riemann sum when f(x)⩾ 0:

If f(x) is always non-negative, the Riemann sum represents an approximation of the area between the curve and the x-axis on the interval [a, b].

Each rectangle has a positive area, which contributes to the overall area under the curve. The sum of the areas of the rectangles approaches the true area under the curve as the number of subintervals n approaches infinity.

(c) Geometric interpretation of a Riemann sum when f(x) takes on both positive and negative values:

When f(x) takes on both positive and negative values, the Riemann sum represents the net area between the curve and the x-axis on the interval [a, b].

Each rectangle may have a positive or negative area, depending on the sign of f(xi).

The positive areas represent regions where the curve is above the x-axis, and the negative areas represent regions where the curve is below the x-axis.

In conclusion, Riemann sums are used to approximate the area under a curve on an interval [a, b]. The expression for a Riemann sum involves dividing the interval into n subintervals and approximating the area under the curve using rectangles.

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The variation equation is p = kr^2

The variables are give as:

Pressure = P

Radius= r

The direct variation from p to the square of r is represented as:

\(p\ \alpha\ r^2\)

Express as an equation

p = kr^2

Where k represents the constant of variation

Hence, the variation equation is p = kr^2

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Answer:

The correct answer is the 3rd option

The quadratic function of graph given characteristics vertex(1,\9); passes through (4,\6) is y=1/3x2+2/3x+26/3.

A quadratic function is a polynomial function with one or more variables where the highest exponent of the variable is two. Due to the fact that the biggest degree term in a quadratic function is of second degree, it is sometimes referred to as the polynomial of degree 2. There must be a quadratic function with at least one second-degree term. It performs algebraic operations.

Assum:y=ax2+bx+c

Point (1,9)(4,6) into it:{9=a+b+c/6=16a+4b+c} (point 1and 2)

Therefore, vertex(1,9) –b/2a=1→-b=2a

Point 3 into 1 and 2={9=-a+c/b=8a+c}

a=1/3, b=2/3, c=26/3

y=1/3x2+2/3x+26/3

For: y=ax2+bx+c

The graph intersects the x axis at x1 and x2,

X1= -b+√b2-4ac/2a , X2= -b-√b2-4ac/2a

The x-coordinate of the vertex must be in the middle of x1 and x2.

Assume the x-coordinate of the vertex as x

So : x=x1+x2/2 = -b+√b2-4ac/2a + -b-√b2-4ac/2a / 2 = -b/2a

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Answer: The volume is the product of the Length, Width, and Height: V = LWH.

Step-by-step explanation: We are given V = 240 in.3, and H = 6 in., and L = W + 3 in.

Thus 240 in.3 = (W+3 in.)*W*(6 in.) so W(W+3 in.) = 240 in.3 / 6 in. = 40 in.2

Using the distributive property and moving the constant to the left gives:

W2 + (3 in.)W - 40 in.2 = 0

This factors:

(W + 8 in.)(W - 5 in.) = 0

The first factor gives W = -8 in. which is nonsense because it is negative.

The second factor gives a valid answer of W = 5 in.

Answer:

10%

Step-by-step explanation:

Percent proportion:

$28 - 100%

$8,40 - x%

Cross-multiply to find x:

\(x = \frac{8.40 \times 100\%}{28} = \frac{840}{84} = 10 \: \%\)

Answer  30%

Step-by-step explanation:

To find what percentage $8.40 is of $28, we can use the following proportion:

part/whole = percent/100

Let x be the percentage we are trying to find, then we can write:

8.40/28 = x/100

To solve for x, we can cross-multiply:

28x = 8.40 * 100

Dividing both sides by 28, we get:

x = (8.40 * 100) / 28 = 30

Therefore, $8.40 is 30% of $28.

Answer:

13

Step-by-step explanation:

Hope this is helpful

The average value of a function over the interval to be -π/4 + C/3π.

In this case, we need to calculate the average value of y=xsin(x) over the interval [0,3π/2]. To calculate this, we must first calculate the integral of the function over the interval. This is done by finding the antiderivative of the function and then evaluating the antiderivative at the upper and lower limits of the interval. The antiderivative of the function is -cos(x) + sin(x)x + C. Evaluating this at the lower and upper limits of the interval, we get 0-0 + 0 + C = C. To calculate the average value of the function, we divide the integral by the length of the interval. The length of the interval is 3π/2, so the average value of the function over the interval is the integral divided by 3π/2. Evaluating the integral, we get -cos(3π/2) + sin(3π/2)(3π/2) + C. Substituting in the values, we get -(-1) + 1(3π/2) + C = -π/2 + C. Finally, dividing this by 3π/2, we get the average value of the function over the interval to be -π/4 + C/3π.

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The number of text messages sent by carla in a month is 34.

What is an algebric equation ?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

For given question,

Phone service = $35

For each text message = $0.50

Total bill = $52

Let x be the no. of total text messages.

Equation:  52 = 35 + 0.50x

Solving for x,

52 - 35 = 0.50x

17 / 0.50 = x

34 = x

The number of text messages sent by carla in a month is 34.

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Answer:

dimension

speed =distance/time

[S]=M^0L¹T-¹

Answer:

If rounded to the nearest tenth of a cubic foot, would be: 927587.2

Step-by-step explanation:

The equation of finding the equation of the volume of a sphere is "4π\(\frac{radius^{3} }{3}\)"

If values are inserted in for radius as 60.5, the answer will be 927587.2 when rounded to the nearest tenths.

Hope this helps!