Lines a and b are parallel. What is the value of x? 5 10 35 55

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

Thus, the sum of palindromic primes less than 100 is 2+3+5+7+11+101=129.

Palindromic primes are two-digit prime numbers such that the number formed when the digits are reversed is also prime. The sum of all palindromic primes less than 100 is 2+3+5+7+11+101=129.

The first palindromic prime number is 11. We note that for palindromic numbers to be prime, the digits at the units and ten's place must be odd (1, 3, 5, 7, or 9).

Thus, a number would be palindromic if it is formed in the following ways:

a. The tens place would be a digit from the given set of digits

b. The units place would be the same as the digit at the tens place

The primes that fit these criteria are 11, 22, 33, 44, 55, 66, 77, 88, and 99.

However, only 11, 33, 55, and 77 are prime.
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The probability of getting all three multiple-choice questions right in this scenario is therefore:0.25 x 0.25 x 0.25 = 0.015 or 1.5%So, the probability of getting all three questions correct by guessing is 1.5%.

The probability of getting all three multiple-choice questions right in a test that includes several such questions, each with four choices, given that one doesn't know the answer to any of them and guesses on each,

can be determined as follows:

Step 1: Determine the probability of getting one multiple-choice question right, given that there are four choices for each question. The probability is 1/4 or 0.25, because there is one correct answer and three incorrect ones.

Step 2: Multiply the probability of getting the first question right by the probability of getting the second question right, which is also 0.25.

Step 3: Multiply the probability of getting the first two questions right by the probability of getting the third question right, which is again 0.25.

Step 4: Multiply the resulting probability by 100 to convert it to a percentage.

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Answer:

Finding the exact volume is physically impossible, however, you can find a rough estimate by calculating side lengths and that stuff

Step-by-step explanation:

Answer:

2 months

Step-by-step explanation:

The selling price of the sweater = 0.5 x $20 = $30

For every month that the sweater doesn't sell, price is reduced by 20% = 0.2 x $30 = $6

After the first month, price is reduced by $30 - $6 = $24

After the second month, price is reduced by $24 - $6 = $18

Answer: 2 months

Step-by-step explanation: daddy long legs is smart

Step-by-step explanation:

Area of this kit = 1/2 (gf * hf)    

   258 yd^2  = 1/2 (43 * HF )

      HF =   258 *2 / 43 = 12 yds

See solution below

Explanation:

a) 5x - 7 ≤ -2

collect like terms:

5x ≤ -2 + 7

5x ≤ 5

Divide through by 5:

x ≤ 1

From the graph above, the inequality has a solution.

b) 2/3b > -8

Cross multiply:

2 > -8(3b)

2 > -24b

Divide through by -24:

Note: when we divide an inequality by a negative number, the inequality sign changes.

2/-24 < b

-1/ 12 < b

Hence, b > -1/12

Note: To make it easier to graph, I represented b with x

From the graph above, the inequality has a solution.

c) 3w - 7 - w < 2w + 4

2w - 7 < 2w + 4

collect like terms:

2w - 2w < 4 + 7

0 < 11

Note: To make it easier to graph, I represented b with x

From the graph, the solution is for all real numbers.



Answer:

the formulaA= 12BH is use to know the surface area of the triangle prism

Answer:

x = 256

Step-by-step explanation:

-5/8x = -160

Multiply each side by -8/5 to isolate x

-8/5*-5/8x = -160*-8/5

x = 256

The critical value for the given scenario is 1.645

To determine the critical value(s) for a one-mean z-test at the 5% significance level for a right-tailed test, we need to find the value(s) that correspond to a cumulative probability of 0.05 in the right tail of the standard normal distribution.

From the given information, we know that the critical value for a cumulative probability of 0.05 (α = 0.05) is z0.05 = 1.645. This is the value that separates the 5% area in the right tail.

Since the test is right-tailed, the critical value(s) will be the same as the value z0.05 = 1.645.

Therefore, the critical value(s) for a one-mean z-test at the 5% significance level, for a right-tailed test, is 1.645.

In summary, when conducting a one-mean z-test with a right-tailed alternative hypothesis at a 5% significance level, we compare the test statistic to the critical value of 1.645. If the test statistic is greater than 1.645, we would reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

\(\frac{45}{7}\)

Step-by-step explanation:

9 is the same as \(\frac{9}{1}\)

∴ 9 ˣ \(\frac{5}{7}\)

=  \(\frac{9}{1}\) ˣ  \(\frac{5}{7}\)

To multiply two fractions, just multiply their numerators together and their denominators together.

9 x 5 = 45

1 x 7 = 7

∴ \(\frac{9}{1}\) ˣ  \(\frac{5}{7}\)

  = \(\frac{45}{7}\)

Answer:

80% increase

Step-by-step explanation:

The new value is 90.  The old value is 50

(90-50)/ 50

40/50

Multiply by 2 to get over 100

80/100

80% increase

If firm issues​ commercial paper with $1000000 face-value and pays EAR of​ 7.4%, then amount the firm will receive is $981500.

To calculate the amount the firm receives from issuing the three-month commercial paper, we need to determine the total interest earned over the three-month period.

The Effective Annual Rate (EAR) of 7.4% indicates the annualized interest rate. Since the commercial paper has 3-month term, we adjust the EAR to account for the shorter period.

To find the quarterly interest rate, we divide the EAR by the number of compounding periods in a year. In this case, since it is a 3-month period, there are 4-compounding periods in a year (quarterly compounding).

Quarterly interest rate = (EAR)/(number of compounding periods)

= 7.4%/4

= 1.85%,

Now, we calculate interest earned on "face-value" of $1,000,000 over 3-months,

Interest earned = (face value) × (quarterly interest rate)

= $1,000,000 × 1.85% = $18,500,

So, amount firm receives from issuing 3-month commercial paper is the face value minus the interest earned:

Amount received = (face value) - (interest earned)

= $1,000,000 - $18,500

= $981,500.

Therefore, the amount that firms receives is $981500.

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An inclined plane of length 8 m is used to lift the load 2 m, using the same effort.

A ramp that helps lift and lower heavy things is called an inclined plane. It is a flat surface that is positioned against a horizontal surface at an angle other than a right angle.

Work is defined as the use of force to move an object over a distance. It is derived as the product of displacement (d) and force (F). Work is given by W = F×d = 25 N×d.

When a body is lifted, we can express work as W = m×g×h where g is gravity and h is height. And the force is written as F = m×g where m is the mass of an object. Then, W = F×h

Calculating the work done to lift the load to 2 m, we get,

W = 100 N×2 m = 200 Nm.

Substitute this value in W = F×h, we get,

200 Nm = 25 N×d

Divide both sides by 25 N, and we get,

\(\begin{aligned}\frac{\mathrm{200\;Nm}}{\mathrm{25\;N}}&=\frac{\mathrm{25\;N\times d}}{\mathrm{25\;N}}\\d&=\mathrm{8\;m}\end{aligned}\)

The value is 8 m. Therefore, the first statement is correct.

The complete question is -

To lift a load of 100 N a distance of 1 m an effort of 25 N must be applied over an inclined plane of length 4 m. What must be done to lift the load 2 m, using the same effort?

A. Use an inclined plane of length 8 m.

B. Use an inclined plane of length 2 m.

C. Use an inclined plane of length 10 m

D. Use an inclined plane of length 16 m.

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The researcher needs a sample size of 105 young urban people (ages 21 to 35 years).

To estimate the proportion of young urban people (ages 21 to 35 years) who go to at least 3 concerts a year, the researcher can use the sample proportion based on previous studies.

Let's denote the proportion as \($p$\). The researcher wants to estimate \($p$\) with a 90% confidence level and be accurate within 2% of the true proportion. This means the margin of error \(($E$)\) should be 2% of \($p$\). The margin of error is calculated using the formula:

\(\[ E = z \cdot \sqrt{\frac{p(1-p)}{n}} \]\)

Where:

- \($z$\) is the z-score associated with the desired confidence level. For a 90% confidence level, the z-score is 1.645.

- \($n$\) is the sample size.

To find the required sample size, we need to solve for \($n$\) in the formula above. Rearranging the formula, we get:

\(\[ n = \left(\frac{z}{E}\right)^2 \cdot p(1-p) \]\)

Substituting the given values, with \(p = 0.35$, $E = 0.02$, and $z = 1.645$\), we can calculate the sample size \(($n$):\)

\(\[ n = \left(\frac{1.645}{0.02}\right)^2 \cdot 0.35(1-0.35) \]\)

Simplifying the equation further:

\(\[ n = 456.025 \cdot 0.35(0.65) \]\)

\(\[ n \approx 104.394 \]\)

Therefore, the researcher should aim for a sample size of at least 105 young urban people (ages 21 to 35 years) in order to estimate the proportion accurately within 2% of the true proportion at a 90% confidence level.

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When Yolanda has chewed, moistened, and mixed the peanut butter and jelly sandwich bite with her saliva, it is called a "bolus".

Given that, Yolanda is eating a peanut butter and jelly sandwich for lunch. She has taken a bite of the sandwich and begun chewing the sticky sandwich. Once the bite of sandwich has been chewed, moistened, and mixed with saliva, it is called a bolus. A bolus is defined as a small rounded mass of a substance, especially of chewed food at the moment of swallowing. So, Yolanda's chewed and moistened peanut butter and jelly sandwich has now become a bolus in her mouth.When Yolanda has chewed, moistened, and mixed the peanut butter and jelly sandwich bite with her saliva, it is called a "bolus."

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The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:

f(x) = A * sin(Bx + C) + D

where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.

Amplitude: The given amplitude is 10. So, A = 10.

Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.

Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.

f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:

41 = 10 * sin(2π/5 * 3 + C) + 31

10 * sin(2π/5 * 3 + C) = 41 - 31

10 * sin(2π/5 * 3 + C) = 10

sin(2π/5 * 3 + C) = 1

To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.

2π/5 * 3 = π/2 - C

6π/5 = π/2 - C

C = π/2 - 6π/5

Now we have all the values to construct the sinusoidal function:

f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31

Simplifying further:

f(x) = 10 * sin(2π/5 * x - 2π/10) + 31

f(x) = 10 * sin(2π/5 * x - π/5) + 31

Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

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Answer:

x>7

Step-by-step explanation:

The circle is open so seven is not included which eliminates the second and fourth choice.

x<7 means x is less than seven which is wrong.

x> means x is greater than seven.

Answer:

x > 7

Step-by-step explanation:

We see that the arrow is going to the right, signaling greater than.

We know that it is not greater than or equal to, since the dot is not shaded.

So, the answer is x > 7.

Answer:

66666.67 miles/hr

Step-by-step explanation:

Given that:

Earth complete its orbit of the Sun which is 584 million miles

Time taken to complete the orbit = 365 days

To find:

Speed of earth in miles per hour = ?

Solution:

First of all, we need to convert the distance in miles and time in hours to get our answer.

Let us have a look at the conversion units:

1 day = 24 hours

So, 365 days = 24 \(\times\) 365 hours = 8760 hours

Distance traveled = 584 million miles

1 million miles = 1000000 miles

584 million miles = 584000000 miles

Formula for speed is given as:

\(Speed = \dfrac{Distance}{Time}\)

Let us put the values of Distance and time given in miles and hours to get the speed in miles/hr.

\(Speed = \dfrac{584000000}{8760}\\\Rightarrow \bold{Speed = 66666.67\ miles/hr}\)

So, the answer is: 66666.67 miles/hr

Verified the identity 49 cos⁴ x - 49 sin⁴ x = 49 cos 2x.

Let's discuss it further below.

To verify the identity 49 cos⁴ x - 49 sin⁴ x = 49 cos 2x, we will factor the expression, and then use a Pythagorean Identity and a Double-Angle Formula to simplify.

Step 1: Factor the expression
49 cos⁴ x - 49 sin⁴ x = 49(cos⁴ x - sin⁴ x)

Step 2: Apply the difference of squares formula
49(cos⁴ x - sin⁴ x) = 49((cos² x + sin² x)(cos² x - sin² x))

Step 3: Use the Pythagorean Identity
Since cos² x + sin² x = 1, we can substitute 1 for (cos² x + sin² x):
49(1)(cos² x - sin² x) = 49(cos² x - sin² x)

Step 4: Use the Double-Angle Formula
The Double-Angle Formula for cosine is cos 2x = cos² x - sin² x. Therefore, we can substitute cos 2x for (cos² x - sin² x):
49(cos² x - sin² x) = 49 cos 2x

So, we have verified the identity 49 cos⁴ x - 49 sin⁴ x = 49 cos 2x.

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If we allow the number of edges between any two nodes to be more than two, we would need to use the adjacency matrix to accurately store that graph information.

The adjacency matrix is a matrix representation of a graph where the rows and columns represent the vertices and the values in the matrix represent the number of edges between two vertices.

In this case, we could have values greater than 1 in the matrix to represent multiple edges between two vertices.

On the other hand, the adjacency list data structure would not be able to accurately store this information, as it represents each vertex and its adjacent vertices in a linked list format.

It would be difficult to represent multiple edges between two vertices using this data structure.

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Answer: (x,y) -> (x,-y)

Step-by-step explanation:

If you take any point, for example (-1,1) from the blue shape, you have to multiply the y value by -1 to get to (-1,-1) for the red shape. You can test it out with any point on the two figures.

Also, by looking at it, you can see that it is a reflection over the x axis and a reflection over the x axis always just multiplies the y value by -1.

Answer:

Below in bold.

Step-by-step explanation:

6 hours 12 minutes = 6.2 hours

7 hours 18 minutes = 7.3 hours.

Average speed = distance / time

So for West to East,  average speed =  3800 / 6.2 = 612.9 km/hour.

- and  for East to West,  average speed =  3800 / 7.3  = 520.5  km/hour.

These values are correct to the nearest tenth.

Answer:

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

Divide the number of players by the number of rackets.

In this case, there are 15 players and 12 rackets.

So the rate of players per racket would be:

The probability Amelie spins either an odd number or a red number is:

P = 4/5

We want to find the probability of spinning a red or odd number, this is equal to the quotient between the number of odd numbers + the number of red numbers and the total number of numbers in the spinner.

Then there are 5 + 3 = 8 numbers that are either red or odd, and a total of 10 numbers, this means that the probability of spinning an odd number or a red number is:

P = 8/10 = 4/5

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Answer:

y=2(x−4)2−19

Step-by-step explanation:

PLS BRAINLIEST

Answer:

I would recommend using photomath and math away for stuff like this :D

Step-by-step explanation:

use these apps save you lot of time

Answer:

1440 different trucks

Step-by-step explanation:

Multiply all of the choices for each part:

3 possible bodies * 4 possible engines * 3 possible transmission types * 8 possible colors * 5 possible options packages

And, you get:

3 * 4 * 3 * 8 * 5

= 1440 different trucks

Answer:

4320 trucks

Step-by-step explanation: