Question 7 of 10
The equation below describes a parabola. If a is positive, which way does the
parabola open?
y = ax²
O A. Up
B. Right
O C. Left
D. Down

Answer:

2m-17

Step-by-step explanation:

-20+1/4(8m+12)

-20+2m+3

2m-20+3

2m-17

the answer is -20+ (8m+12/4)

We cannot claim that the newsletter publisher's statement is incorrect. Hence, the conclusion is uncertain.

The newsletter publisher's claim is uncertain after performing a test at the 0.02 level of significance as the testing firm fails to reject the null hypothesis.

In this case, we cannot claim that the publisher's statement is incorrect without additional tests and proof. Here is an explanation of the above statement.

A hypothesis test is conducted to find out whether or not there is sufficient evidence to contradict a hypothesis. In this case, the hypothesis test's null hypothesis claims that the newsletter publisher's statement is correct.

The alternate hypothesis claims that the newsletter publisher's claim is incorrect. As a result, the null hypothesis is represented by \(H_0\):

p = 0.71 (71%) and

the alternate hypothesis is represented by \(H_a\):

p ≠ 0.71 (71%).

Where 'p' denotes the percentage of newsletter readers who own a Rolls Royce.

The test statistic for a sample proportion can be calculated by

z = (p - P) / √(P(1 - P) / n)

Where 'p' denotes the sample proportion,

P denotes the population proportion, and

n denotes the sample size.

A two-tailed test is used because the alternate hypothesis is written as \(H_a\):

p ≠ 0.71 (71%).

At a 0.02 significance level, the test statistic's critical value is ±2.58 (round off) Because the test statistic does not fall in the rejection region, we fail to reject the null hypothesis.

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Answer:

153.8 grams of sugar is needed

Step-by-step explanation:

Answer:

93.6g

Step-by-step explanation:

54.6g/7=7.8g

7.8*12=93.6

To find out how much Akin has in the box, we first need to find the value of one unit and by calculating Akin has 48 in the box.

Akin has 3/8 of money in his box. The value of 3/8 of money is 4.80. We need to find the total amount of money Akin has in his box. The given information is enough to calculate the total amount of money Akin has. We can calculate the total amount of money Akin has in two steps.Firstly, we need to find the value of one unit. The value of one unit is calculated by dividing the given value with its fraction. Here, the value of one unit can be calculated by dividing 4.80 by 3/8, which is

(4.80 x 8) / 3 = 12.

So, the value of one unit is 12.Secondly, we need to find out the total number of units in Akin’s box. Since 3/8 of the money is 4.80, 1/8 of the money is

(4.80 ÷ 3) × 1 = 1.60.

Therefore, the total number of units in the box is 4 units. So, the total value of the money in the box is:

Total value of the money in the box = Value of one unit × Total number of units= 12 × 4= 48

Therefore, Akin has 48 in the box.

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Answer:

B. Centers: the sea turtles have a greater median age than the koi

D. Spreads: the ages of the koi are more spread out

Step-by-step explanation:

The difference between the center and spread of the data distribution of koi and sea turtles as shown in the dot plots are as follows:

==>Median:

For Koi, the median value is the 14th value represented by the 14th dot on the plot, which is 30.

The median value for koi is between the 7th and the 8th value represented by dots on the plot. The average of both values will give us 55 as the median value for koi.

Therefore, the median age of sea turtle is greater than that of koi.

==>Spread:

Koi has a range of 45 (60-15), while sea turtles have a range of 20 (65-45). Invariably, mere looking at the dot plot, we can conclude that ages of the koi are more spread out.

Answer:

B.) Centers: the sea turtles have a greater median age than the koi

D.) Spreads: the ages of the koi are more spread out

Step-by-step explanation:

:p

The perimeter of the rectangle can be expressed as 2x + 84/x in terms only of x.

The perimeter of the rectangle can be expressed as:

2x + 2y

In this case, x is the width and y is the length.

Since we know the area of the rectangle is 42 in², we can use the formula for the area of a rectangle to solve for the length,

y = 42 / x.

Substituting this into the expression for the perimeter, we get,

2x + 2(42/x).

This simplifies toL

2x + 84/x.

Thus, the perimeter of the rectangle is 2x + 84/x in terms only of x.

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We are given the following information:

The value of ''x'' is not an integer.

This, therefore, means that there is no true solution to the question

Answer:

5/6

Step-by-step explanation:

Answer: 11/2

Reciprocal: 2/11

Step-by-step explanation: 11/2 is 5.5 (between 5 and 6) the reciprocal or 11/2 is 2/11

Answer:

???????????????????????

Step-by-step explanation:

sorry di ko po alam yung sagot pasensiya na po

Given :

Parallel lines are

x – 2y = 3 and 2x – 4y = 12

Step-by-step explanation:

Lets write the given lines in slope intercept form y=mx+b

\(x -2y = 3 \\-2y=-x+3\\Divide \; both \; sides \; by -2\\y=\frac{x}{2} -\frac{3}{2}\)

From the above equation , y intercept of first line is \(\frac{-3}{2}\)

Solve the second equation for y and find out y intercept

\(2x-4y=12\\-4y=-2x+12\\Divide \; by \; -4\\y=\frac{1}{2} x-3\)

y intercept of second line is -3

To find the distance between parallel lines, we subtract the y intercepts

\(\frac{-3}{2} -(-3)=\frac{-3}{2} +\frac{6}{2} =\frac{3}{2} =1.5\)

Answer:

The distance between the parallel lines = 1.5

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Answer:

an = 1.2 + (n - 1) 1.5

Step-by-step explanation: opt A on edg

The radius of the fifth sphere  or the value of r is 14.14

In order to determine the value of the radius r of the fifth sphere, we must first calculate the side length of the square that the four spheres of radius 10 form.

Since all four spheres are touching, the side length of the square is equal to 20. Thus, the area of the square is equal to 400. Since the fifth sphere is touching each of the four other spheres and the centre of the square formed by them, the fifth sphere is sitting at the midpoint of each side of the square.

Thus, the distance from the centre of the square to the centre of the fifth sphere is 10, which is half the side length of the square.  Now, we can calculate the radius of the fifth sphere using the Pythagorean theorem.

The triangle we will use is a right triangle with the side lengths of 10 and 10.

Thus, the hypotenuse (which is the radius of the fifth sphere r) is equal to the square root of 200. Therefore, the radius of the fifth sphere is approximately 14.14.

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Answer:

A. Pair 1

Step-by-step explanation:

B is just repositioned, C is a reflection, and D is also a reflection.

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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The answer is:

y=2x+3

Answer:

answer my recent post i gave 50 pts

Step-by-step explanation:

i wanna say 3:5 im not sure im sorry!

=======================================================

Explanation:

The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.

Those angles add to the other angles to form a full 360 degree circle.

Let x be the measure of angle SPT and angle TPU.

86 + 154 + 60 + x + x = 360

300 + 2x = 360

2x = 360-300

2x = 60

x = 60/2

x = 30

Each red angle is 30 degrees.

Then,

angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)

angle SPQ = (30) + (30) + (86)

angle SPQ = 146 degrees

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

Another approach:

Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:

360 - 214 = 146 degrees

Answer:

Step-by-step explanation:

Student's t test for correlated groups reduces to Student's t test for single samples using difference scores. Therefore, the correct answer is (b).

In a t test for correlated groups (also known as paired-samples or dependent-samples t test), the same group of participants is measured twice, under two different conditions or at two different times. The difference between the two measurements for each participant is calculated and used as the sample data. The t test for correlated groups compares the mean difference score to zero to determine if there is a significant difference between the two conditions or times.

This can be seen as equivalent to a t test for single samples using difference scores, where the mean difference score is compared to a known or hypothesized value of the population mean difference. In fact, the formula for calculating the t statistic is the same in both cases.

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Answer:

m∠ ACB = 60°

Step-by-step explanation:

If AB║CD  if m∠

Answer: She bought 6 $5 magazines and 5 $4 magazines

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

40.5 multiplied by 21 is 850.5

"From a table of integrals, we know that for \(\(a \neq 0\)\) and \(\(b \neq 0\):\)

\(\[\int \cos(at) \, dt = \frac{1}{a} \cdot \cos(at) + \frac{1}{b} \cdot \sin(bt) + C\]\)

and

\(\[\int e^a t \cos(bt) \, dt = \frac{e^{at}}{a} \cdot \cos(bt) + \frac{b}{a^2 + b^2} \cdot \sin(bt) + C\]\)

Use this antiderivative to compute the following improper integral:

\(\[\int_{-\infty}^{0} \cos(3t) \, dt = \lim_{{T \to \infty}} \int_{0}^{T} e^t \cos(3t) \, e^{-st} \, dt = \lim_{{T \to \infty}} \text{ if } s \neq 1, \, \text{ or } \lim_{{T \to \infty}} \text{ if } s = 1.\]\)

For which values of \(\(s\)\) do the limits above exist? In other words, what is the domain of the Laplace transform of \(\(\frac{1}{\cos(3)} \cdot e^t \cos(3t)\)\)?

Evaluate the existing limit to compute the Laplace transform of  on the domain you determined in the previous part:

\(\[L\{e^t \cos(3t)\\).

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Answer:

x=16/5

y=1

Step-by-step explanation:

To find the x, substitute in 0 for y and solve for x.

0=10x−32

Solve the equation.

Rewrite the equation as 10x−32=0

Add 32 to both sides of the equation.

10x=32

Divide each term by 1010 and simplify.

10x/10=32/10

x=32/10=16/5

Answer: Option C.

Step-by-step explanation:

Ok, first, a linear function is something of the shape of:

y = a*x + b.

And the graph of those functions is a line, as the name implies, so we can discard that option.

So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.

Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.

Then the correct option is C, nonlinear, and a relationship.

Evaluate

tan

(

7

π

4

)

Ans: -1

Explanation:

tan

(

7

π

4

)

=

tan

(

−

π

4

+

8

π

4

)

=

tan

(

−

π

4

+

2

π

)

=

=

tan

(

−

π

4

)

=

−

tan

(

π

4

)

=

−

1

\(1) \: tan( - \pi) = tan(\pi) = \frac{sin(\pi)}{cos(\pi)} = \frac{ \: \: \: 0}{ - 1} = 0\)

\(2) \: tan (\frac{ { - 7\pi} }{4} ) = tan \: ( \frac{ \pi}{4} + \frac{ - 8\pi}{ \: \: 4} ) \\ = tan \: ( \frac{\pi}{4} - 2\pi) = tan \: ( \frac{\pi}{4} ) = 1\)

Hope this helps :)

The resulting equivalent expression is -2k + 6

Equivalent expression.

Equivalent expression means an expressions that work the same even though they look different. If we said the two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

Given,

Here we have the expression -2k - (-5) + 1

Now, we have to combine the like terms and then we have to solve it in order to find the equivalent expression.

First, we have to write the given expression,

=> -2k - (-5) + 1

Here we know that (-) x (-) = (+), therefore, the given expression is rewritten as follows:

=> -2k + 5 + 1

Here the only like term is the constant 5 and 1, so, we have to combine these constant, the  we get the expression like the following;

=> -2k + (5 + 1)

No, we have to add the constant in order to get the equivalent expression,

=> - 2k + 6

Therefore, the equivalent expression i s -2k + 6.

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Answer:

The radical form of 3 2/3 is

\( \sqrt[3]{3 {}^{2} } \)