Which product is equivalent to -7 × 25?

Answer:2

Step-by-step explanation:

Answer:

a) 8cm

b) 19.8cm

Step-by-step explanation:

The key to these types of questions is to keep proportions in mind.

To solve the first question, you want to find the proportion of the smaller triangle to the bigger triangle. The length of AE is 6cm, but the length of AD is (6+4) = 10cm. So the proportion of the bigger triangle to the smaller triangle is 10/6. So to find the lengths of the sides of the bigger triangle, we want to keep this number in mind.

The BE side is parallel to CD, so we have to use length of BE multiplied by the proportion in order to get the length of CD.

CD = 4.8 * (10/6) = 8

CD = 8cm

For the second question, you use the same concept to find all the other side lengths. The only one you need left for the shape EBCD is side BC. Do the same thing you did before, take the length of the side of the smaller triangle that corresponds with side AC on the bigger triangle. In this case, it's AB, which is 4.5cm. Multiply this by 10/6 to get AC.

AC = 4.5 * (10/6) = 7.5

AC = 7.5

But we're not done. We just found the length of AC, but we need the length of BC to calculate the perimeter. To do this, we want to take the length of AC - the length of AB.

7.5 - 4.5 = 3

So the length of BC is 3cm. Now, to find the perimeter, just add all the sides of EBCD together.

4.8 + 4 + 8 + 3 = 19.8cm.

Hope this helps.

Answer:

a) CD = 8 cm

b) Perimeter of EBCD is 19.8 centimeters

Step-by-step explanation:

For this question, you can assume that ΔABE and ΔACD are similar. That's proven by BE ║ CD, but that's not directly relevant to the question so I won't explain it unless you would like me to.

In 2 similar triangles, all corresponding angles are congruent and all corresponding sides have the same scale factor.

For example, in ΔABC and ΔXYZ:

\(\frac{AB}{XY} =\frac{AC}{XZ} =\frac{BC}{YZ}\)

Using those relationships, you can solve for any side in one triangle given the corresponding side in the other triangle.

A)

In the given triangles ΔABE and ΔACD, CD corresponds to BE, so:

\(\frac{CD}{BE} =\frac{AD}{AE}\)

where AD is just 6 + 4 = 10.

\(\frac{CD}{4.8} =\frac{10}{6} \\\\\frac{CD}{4.8} =1.6667\\\\CD=8\)

CD = 8cm

B)

Doing the same thing as above, now find the length of AC:

\(\frac{AC}{AB} =\frac{AD}{AE} \\\\\frac{AC}{4.5} =\frac{10}{6}\\\\\frac{AC}{4.5} =1.6667\\\\AC=7.5\)

Now, to find BC:

\(BC=AC-AB\\BC=7.5-4.5\\BC=3\)

Finally, add up the sides to find the perimeter of EBCD:

\(4.8+3+8+4\\19.8\)

Perimeter of EBCD is 19.8 centimeters

Answer:

Yes

Step-by-step explanation:

They have the same length. The length is 1.

I hope this helps!

Answer:

0.00456

Step-by-step explanation:

Given: Percentage of free throws = 74%

Required:  What is the probability of Glen Davis making none of his next 4 free throw attempts?

Since, there is a free throw 74% of the time, thus, the time he misses = 26% of the time.

To miss four in a row, it is requires to miss the first throw, the second throw, the third throw and also the fourth throw.

Thus, the probabilities of Gien missing will be multiplied.

By using the probability formula -

P ( MMMM) = 26/100 × 26/100 × 26/100 × 26/100

                   = 456976/ 100000000

                   = 0.00456

Therefore, the probability that he will have next 4 free attempts is 0.00456.

Step-by-step explanation:

so, if I understand correctly :

angle A = 22°

angle B = 53°

angle D = 38°

remember : the sum of all 3 angles in every triangle is always 180°.

so,

180 = 22 + 53 + AEB

angle AEB = 180 - 22 - 53 = 105°

per the attributes of crossing lines the angles between them are the same on both sides of any of the lines (just left-right mirrored).

so, CB and AD are crossing lines, therefore

angle AEB = angle CED = 105°

and then

180 = 105 + 38 + C

angle C = 180 - 105 - 38 = 37°

Answer:  -3x+5y=-2 = x=5/3y+2/3  

3x+7y=26 = x=-7/3y+26/3

Step-by-step explanation:

Answer:

A (4,2)

Step-by-step explanation:

edge

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

A) 9

Step-by-step explanation:

⇒ Circumference of a Circle = 2πr

\(36=2\pi r\)

\(r=\frac{36}{2} \pi\)

\(r=\frac{18}{\pi }\)

Length of arc = rθ

θ = angle AC = \(90^o\)

Convert \(90^o\) to radian

= \(\frac{90\pi }{180}\)

= \(\frac{\pi }{2}\)

length of arc = 18/π x π/2

= 9

Answer:

24

Step-by-step explanation:

18+12-6

Answer:

24

Step-by-step explanation:

6+4=10

10-2=8

3*8=24

Answer:

21

Step-by-step explanation:

Well you basically divide 3 and 1/2 by 1/6 which you would you have to simplify the 3 and 1/2 which is 7/2 and switch the denominator and numerator of the 1/6 which would be 6/1 and after you multiply(7/2 x 6/1=42/2) it would be 42/2 which you would have to simplify by dividing 42 and 2 which is 21. There you go I hope this helps.

Answer:

21.

Step-by-step explanation:

That would be  3 1/2 divided by 1/6.

= 7/2 / 1/6

= 7/2 * 6

= 42/2

= 21 glasses.

Answer:

59,0

Step-by-step explanation:

Trust me also on edge

The Magnitude of forces is 59 pounds and Direction angles of forces is  0

The magnitude of force refers to the sum of all the forces that are acting on an object. If all the forces are acting in the same direction, then the magnitude of the force increases. If the forces are acting on an object in different directions, then the magnitude of the force decreases.

To find the resultant force subtract the magnitude of the smaller force from the magnitude of the larger force. The direction of the resultant force is in the same direction as the larger force.

According to the question

Two forces of 17 and 42 pounds both acting in the horizontal direction on a single object.

i.e,

F1 = 17 pounds

F2 = 42 pounds

Now,

As, magnitude of force refers to the sum of all the forces

Direction is also same

Magnitude : 17 + 42 = 59 pounds

Now,

The Direction angles : 0

As they are having same direction so angle will be 0 .

Hence, The Magnitude of forces is 59 pounds and Direction angles of forces is  0

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Answer:

After 17,190 years, the amount of carbon-14 left would be approximately 5 mg.

The half-life of carbon-14 is 5,730 years, which means that every 5,730 years, half of the remaining carbon-14 decays. To calculate the amount of carbon-14 remaining after 17,190 years, we can use the formula:

A = A0 * (1/2)^(t/T)

where:

A0 is the initial amount (80 mg)

t is the time elapsed (17,190 years)

T is the half-life (5,730 years)

A = 80 * (1/2)^(17,190/5,730)

A = 80 * (1/2)^3

A = 80 * (1/8)

A = 10 mg * 1/2

A = 5 mg

Answer:

  ∠MAR = 28

Step-by-step explanation:

Given angle MAR bisected by ray AT to form angle MAT = (6x-4) and RAT = (2x+8), you want to know the measure of MAR.

An angle bisector divides an angle into two congruent parts:

  ∠MAT = ∠RAT

  6x -4 = 2x +8

  4x = 12 . . . . . . . . add 4-2x

  x = 3 . . . . . . . divide by 4

Then the measure of one of the halves is ...

  ∠RAT = 2x +8 = 2·3 +8 = 14

So, the measure of the whole is ...

  ∠MAR = 2·14

  ∠MAR = 28

Answer:

x and all the way to the way to the way to the way

Answer:

options?

Step-by-step explanation:

By analyzing the degrees and leading coefficients, you can determine how the rational function behaves at the extreme ends of the x-axis.

To determine the end behavior of a rational function, you need to examine the degrees of the numerator and denominator polynomials. The end behavior refers to how the function behaves as the input (x-values) approaches positive or negative infinity.

Here are the steps to determine the end behavior of a rational function:

1. Identify the highest power of x in the numerator and denominator. Let's call them n and m, respectively.

2. If n < m, the degree of the denominator is greater than the numerator. In this case, the function's end behavior is determined by the degree of the denominator.

  - If m is even, the function approaches the horizontal axis (y = 0) as x approaches both positive and negative infinity.

  - If m is odd, the function approaches opposite infinities: positive infinity as x approaches negative infinity and negative infinity as x approaches positive infinity.

3. If n = m, the degree of the numerator is equal to the denominator. In this case, the leading coefficients of the numerator and denominator determine the end behavior.

  - The function approaches the ratio of the leading coefficients as x approaches both positive and negative infinity.

4. If n > m, the degree of the numerator is greater than the denominator. In this case, the function's end behavior is determined by the degree of the numerator.

  - If n is even, the function approaches positive infinity as x approaches both positive and negative infinity.

  - If n is odd, the function approaches opposite infinities: positive infinity as x approaches positive infinity and negative infinity as x approaches negative infinity.

By analyzing the degrees and leading coefficients, you can determine how the rational function behaves at the extreme ends of the x-axis.

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Answer:

C.) the length of the arc it intercepts is the same as the length of the radius

Step-by-step explanation:

The length of the arc it intercepts is the same as the length of the

radius option (C) is correct.

It is defined as the combination of points that, and every point has an equal distance from a fixed point (called the center of a circle).

As we know, the relationship between arc length and the central angle:

s = rθ

\(\rm \theta = \dfrac{s}{r}\)

Where 's' is the arc length and θ is the central angle, r is the radius of the circle.

If θ = 1 radian

Then,

s = r

Thus, the length of the arc it intercepts is the same as the length of the

radius option (C) is correct.

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First, re-read the problem until you understand it and can put it into your own words.  I re-wrote it like this:  "Find the area of a rectangle by first finding the length (L) and the width (W)."   [note that I added "find L and W," but that is how I'm going to solve the problem;  I could also have said that we will need the formulas, P=2L+2W and A=LW, but you knew that already, right?).

Translate the problem:

 "The length of a rectangle is 3 ft longer than its width"      means

         L                             =    3             +         W                 (eq1)

 "the perimeter of the rectangle is 30 ft"     means

            P                                = 50                      (eq2)

So, now the math is easy, just find L and W so we can compute the area:

     P = 50 = 2L + 2W                         (eq3; from eq2 and the formula for P)

          50 = 2(3+W)  +  2W              (use eq1 to substitute for L)

          50 = 6 + 2W   + 2W              (distribute)

           50 = 6 + 4W                       (collect terms)

            44 = 4W                        (subtract 6 from both sides)

            11 ft = W                        (divide both sides by 4)

Use the easiest equation (either eq1 or else eq3) to find L:

          L = 3 + W        (eq1)

          L = 3 + 11

         L = 14 ft

What is the area (A)?

          A = L*W

          A = (14 ft) x (11 ft)

          A = 154 sq ft

Answer:

The answer is 15.6.

Step-by-step explanation:

20% of $78 = 15.6

Please mark as brainliest if this helped!

Answer:

22

Step-by-step explanation:

PEMDAS

P-Parentheses

E-Exponents

M-Multiplication

D-Divison

A-Addition

S-Subtraction

5+6•3-1

(6•3=18)

(5+18=23)

23-1=22

Answer:

22

Step-by-step explanation:

P   E   M   D   A   S = Parentheses, exponents, multiplycation, division, addition, and subtraction.

In the problem, it says: 5 + 6 • 3 - 1

In PEMDAS, multiplycation goes first, so 6 • 3 = 18, then addition because it is sooner in the problem, so 18 + 5 = 23 - 1 = 22.

Therefore, Linda bought 21 yards of ribbon. Hence, Linda bought 94 yards of ribbon.

The number of yards of ribbon Linda bought, we need to calculate the difference between the initial balance on the card and the remaining balance after the purchase.

The initial balance on the card was $20. To find the amount spent on ribbon, we subtract the remaining balance ($17.06) from the initial balance. $20 - $17.06 = $2.94

Now, we need to determine how many yards of ribbon Linda could purchase with $2.94, given that the price of the ribbon is 14 cents per yard.

To find the number of yards, we divide the total amount spent ($2.94) by the price per yard (14 cents): $2.94 ÷ $0.14 = 21

Therefore, Linda bought 21 yards of ribbon.

Hence, Linda bought 94 yards of ribbon.

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Total asset turnover is a financial ratio that measures a company's efficiency in generating sales from its total assets. It is calculated by dividing net sales by average total assets.

The formula for total asset turnover is:

Total Asset Turnover = Net Sales / Average Total Assets

Given the information provided:

Net Sales = $3,570 million

Average Total Assets = $3,050 million

Using the formula, we can calculate the total asset turnover:

Total Asset Turnover = $3,570 million / $3,050 million

Total Asset Turnover ≈ 1.1705

Rounded to four decimal places, the total asset turnover for Flask Company is approximately 1.1705.

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1)  the language L1 is accepted by this PDA.

2) the language L2 is accepted by this PDA.

To draw trans diagram of a PDA for the following languages, we need to proceed as follows:

(1) The language, L1 = {an c bn : n ≥ 0}, can be represented in the form of a PDA as follows:

We can explain the above trans diagram as follows:

Initial state is q0.

Stack is initiated with Z.

We make a transition to q1, upon reading a, push 'X' onto the stack.

We remain in q1 as long as we read 'a' and continue pushing 'X' onto the stack.

The transition is made to q2 when 'c' is read. In q2, we keep on poping 'X' and reading 'b'.

Once we pop out all the Xs from the stack, we move to the final state, q3.

Thus the language L1 is accepted by this PDA.

2) The language L2 = {an b2n : n ≥ 0}, can be represented in the form of a PDA as follows:

We can explain the above trans diagram as follows:

Initial state is q0.

Stack is initiated with Z.

We make a transition to q1, upon reading a, push 'X' onto the stack.

We remain in q1 as long as we read 'a' and continue pushing 'X' onto the stack.

The transition is made to q2 when 'b' is read.

In q2, we keep on poping 'X' and reading 'b'.

Once we pop out all the Xs from the stack, we move to the final state, q3.

Thus the language L2 is accepted by this PDA.

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The expression represents a correct solution to the equation 6(x+4)= 20 is x= -2/3

We know, that the equation is:

6(x+4)=20

6x + 24 = 20

Now, Subtract 24 from both sides

6x + 24 = 20

6x + 24-24 = 20-24

Simplify the expression in the equation

6x + 24-24 = 20-40

6x=-4

Divide both sides by the same factor

6x=-4

6x/6 =-4/6

Simplify the expression

Cancels numbers that are both numerators and denominators X=-4/6 X=-2/3

Therefore, the correct solution to the equation is x=-2/3

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Answer:

jimmy got 30,000

Step-by-step explanation:

10,000

the wife got 60% = 60,000

jimmy got 3x prince = 30,000

prince = 10,000

The p-value of the test statistic will be equal to -1.5.

A statistic employed in statistical hypothesis testing is known as a test statistic. A hypothesis test is often defined in terms of a test statistic, which can be thought of as a numerical summary of a data set that distils the information into a single value that can be used to conduct the test.

The formula for test statistics:

Test statistic = z =

A sample of patients n = 160

Patients insured =x =80

P = x/n

P = 80/ 160

P = 1/2

P = 0.5

P₀ = 56/100

P₀ = 0.56

Putting the values we get:

\(Z =\dfrac{P-P_o}{\sqrt{\dfrac{P_o-(1-P_o)}{n}}}\)

\(Z =\dfrac{0.5-0.56}{\sqrt{\dfrac{0.56-(1-0.56)}{150}}}\)

Z=  -0.06/0.04

Z = - 1.5

Therefore, the p-value of the test statistic will be equal to -1.5.

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If we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

Let Y = 2 - X, where X is an exponential random variable with mean 1.

To show that Y is negatively correlated with X, we need to show that Cov(X,Y) < 0.

Cov(X,Y) = E[XY] - E[X]E[Y]

Since X and Y are both exponentially distributed with mean 1, we have:

E[X] = 1, E[Y] = 2 - E[X] = 1

E[XY] = E[X(2-X)] = 2E[X] - E[X^2] = 2 - Var(X)

Var(X) = E[X^2] - (E[X])^2 = 1 - 1^2 = 0

Therefore, Var(X) = 0, which means that E[XY] = 2, and Cov(X,Y) = E[XY] - E[X]E[Y] = 2 - 1*1 = 1 > 0.

Since Cov(X,Y) > 0, we know that Y is positively correlated with X. To find a random variable that is negatively correlated with X, we can use Y = 3 - X instead.

Therefore, if we let Z = 3 - X, then Z is another exponential random variable with mean 1 that is negatively correlated with X.

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Answer:

14

Step-by-step explanation:

14 becuase if it was 3 times as many as Kate got then you would have to do the opposite than what it is asking so you would have to divide and you would get 14

Ali do be famous doe lol

Answer:

Kate's photo got 14 likes

Step-by-step explanation:

42 divided 3 is 14