What is the length of AB?
А. 8
В. 2
С. 6
D. 4

Answer:

1. 425,300

2. 105,000

3. 45,500

4. 35,500

5. 212.37

Final answer:

The quadratic equation 6x2 – 13x – 5 = 0 is solved using the Master Product method by factoring and solving for 'x' to get the solutions x = -1/3 and x = 5/2.

Explanation:

To solve the quadratic equation 6x2 – 13x – 5 = 0 using the Master Product, we'll first look at the coefficients of the quadratic, which are 6, -13, and -5. The Master Product method involves finding two numbers that multiply to the product of the coefficient of x2 (which is 6) and the constant term (which is -5), and add up to the coefficient of x (which is -13). The product of 6 and -5 is -30, and we're looking for two numbers that multiply to -30 and add up to -13.

These numbers are -15 and 2 because (-15) * 2 = -30 and (-15) + 2 = -13. We can use these numbers to split the middle term, -13x, into -15x and 2x, and rewrite the quadratic equation as 6x2 - 15x + 2x - 5 = 0. Grouping the terms in pairs and factoring by grouping gives us (3x)(2x - 5) + 1(2x - 5) = 0. Factoring out the common binomial (2x - 5), we get (3x + 1)(2x - 5) = 0. Setting each factor equal to zero, we can solve for x: 3x + 1 = 0 or 2x - 5 = 0, which gives us x = -1/3 or x = 5/2.

Answer:

Rotation, then translation

Step-by-step explanation:

At first, the triangle MNQ rotates around the point center Q 180° counter clockwise without change the distance among the three points so it does change the shape the the object.

Then,  we apply translation towards right so that it will became ΔPQN without resizing or rotating the object.

Hence,  transformation(s) can map MNQ onto PQN are Rotation, then translation

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

it is the only net that has 6 squares, and 6 squares make a cube.

Final answer:

To have a standard error less than 5 points, the necessary sample size must be greater than 4. The minimum sample size required is 5.

Explanation:

To calculate the sample size required, we need to use the formula for standard error:

SE = σ/√n

In this case, we want the standard error to be less than 5 points, so we have the inequality:

5 > σ/√n

Multiplying both sides by √n, we get:

5√n > σ

Since we know that the population standard deviation (σ) is 10, we can substitute that value into the inequality:

5√n > 10

Dividing both sides by 5:

√n > 2

Squaring both sides of the inequality:

n > 4

So, the sample size must be greater than 4. However, since sample size is typically an integer value, we round up to the nearest whole number. Therefore, the minimum sample size required is 5

Final answer:

To achieve a standard error of less than 5 with a population standard deviation of 10, a sample size of at least 5 is required.

Explanation:

The question deals with determining the sample size necessary for a specified standard error when the population standard deviation is known.

To find the sample size (n) necessary for a standard error of less than 5, when the population standard deviation (σ) is 10, we use the formula for the standard error of the sample mean, which is σ/sqrt(n).

To want the standard error to be less than 5, set up the inequality 10/sqrt(n) < 5, which simplifies to sqrt(n) > 2.

Solving for n, we square both sides to obtain n > 4.

Thus, we need a sample size greater than 4.

However, as sqrt(4) equals 2, the next whole number that provides a standard error less than 5 is 5.

Therefore, a sample size of at least 5 is needed.

Lynn starts with 14.3 gallons in her gas tank.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

She put 3 7/8 gallons of gas in her gas tank. if there are now 18 1/6 gallons in the tank.

We have to determine the number of gallons did she start with

As per the given question, the required evaluation would be as:

Initial gallons = current gallons - put gallons

Initial gallons = 18 1/6 - 3 7/8

Convert the improper fractions into decimals,

Initial gallons = 18.167 - 3.875

Apply the subtraction operation, and we get

Initial gallons = 14.292 ≈ 14.3

Therefore, she starts with 14.3 gallons in her gas tank.

Learn more about Subtraction operations here:

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Answer:

15000.0

Step-by-step explanation:

Answer:

Step 1:  Round to the nearest hundredth

It is already rounded to the tenth so rounded to the hundredth would just add a 0.

14991.10

Answer:  14991.10

If you meant hundreds:

14991.10

Since the tens place is greater or equal to 5, you round up the hundreds place.  This will make the thousands place go up by one.

14991.10

15000

Answer:

Step-by-step explanation:

hello :

look this solution :

Answer:

the probability is 1/12

Step-by-step explanation:

The probability, P(Tails) to get tails is equal to:

[tex]P(Tails)=\frac{1}{2}[/tex]

Because a penny have two possible options heads or tails and tails is one option.

Additionally, the probability P(3) that the number cube get a 3 is equal to:

[tex]P(3)=\frac{1}{6}[/tex]

Because the cube have 6 possible options and 3 is one option.

Now, the probability P(tails and 3) is calculated as a multiplication of P(tails) and P(3). then, P(tails and 3) is equal to:

P(tails and 3) [tex]=\frac{1}{2}*\frac{1}{6}=\frac{1}{12}[/tex]

Answer:

1/12

Step-by-step explanation:

First we calculate the probability of the coin tossed being a tails.

The coin has two sides (heads and tails), so the probability of each case is 1/2, so the probabilty of having a tails is 1/2

For the number cube, we have six possibilities, so the probability of having a number 3 is 1/6

Now, to find the final probability P(tails and 3) we just need to multiply both probabilities:

P(tails and 3) = P(tails) * P(3) = (1/2) * (1/6) = 1/12

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Sum the frequency column to find the total number of students

total = 2 + 9 + 5 + 5 + 3 = 24

number of students finished in less than 20 mins = 2 + 9 + 5 = 16

fraction of students = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex]

Answer:

325 servings

Step-by-step explanation:

Answer:

No because if you are looking for a right triangle its sums have to equal to 90 degrees

Step-by-step explanation:

for example:side a; 30 inches

side B;30 in

c;30 that equals 90 so that is a right triangle

Answer:

No, it is not a right triangle.

Step-by-step explanation:

10.5, 36, and 50 do not form a right triangle.  This can be tested using the Pythagorean theorem.  

10.5^2=110.25

36^2= 1296

50^2=2500

If this was a right triangle, the 10.5 squared and 36 squared would have to equal 50 squared.  

The athlete can cover 4.5 km in 30 minutes. Hence, option C is correct.

Important information:

We need to find the distance covered by the athlete in 30 minutes.

We know that 1 hour = 60 minutes. So,

The distance covered in 60 minutes is 9 km.

The distance covered in 1 minute is [tex]\dfrac{9}{60}[/tex] km.

The distance covered in 30 minutes is [tex]\dfrac{9}{60}\times 30=4.5[/tex] km.

Therefore, the athlete can cover 4.5 km in 30 minutes. Hence, option C is correct.

Find out more above 'Average speed' here:

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Step-by-step explanation:

Putting value of x

(8)2 + 3(8)

64 + 24

= 88

Answer:

The answer is 88

Step-by-step explanation:

since x=8

x^2= 64

3x=3×8

=24

x^2+3x= 64+24

=88

Answer:

16 miles

Step-by-step explanation:

The graph is counting by 2, and there are 8 spaces between the Grocery store and the post office.  8(2) = 16

Answer: 16

Step-by-step explanation:

Answer:

oh yeah thats the 3rd one

Step-by-step explanation:

Answer:

X = -12.54 (I am a Math Class Topper in both 6th Grade an 7th Grade)

Step-by-step explanation:

5 x .27 = 1.35

8x - (3 x .27) = .81

1.35 + 8x - .81 = 7x - 12

        - 7x           - 7x

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

1.35 + X - .81 = -12

              + .81 +.81

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

1.35 + X = -11.19

-1.35         -1.35

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

X = -12.54

Answer:

[tex]y = 1/2x + 6[/tex]

Step-by-step explanation:

Step 1:  Find the equation

[tex](y - y_1) = m(x - x_1)[/tex]

[tex](y - (5)) = 1/2(x - (-2))[/tex]

[tex]y - 5 = 1/2(x + 2)[/tex]

[tex]y - 5 + 5 = 1/2x + 1 + 5[/tex]

[tex]y = 1/2x + 6[/tex]

Answer:  [tex]y = 1/2x + 6[/tex]

Answer:

35a+55b=c

35x3=105

55x2=110

105+110=215

c=215

she rode her bike for 215 mins= 3 hours and 58 mins

Step-by-step explanation:

To estimate the perimeter, we use the given information of the width of the rectangle, which is 1.25 cm. Assuming the lengths are similar, we estimate them to be 1.25 cm as well. Using these measurements, we calculate the perimeter of the figure to be approximately 5 cm.

To estimate the perimeter of the figure, we need to determine the measurements. The given information states that the rectangle is at least 1.0 cm wide but not 2.0 cm wide. Using the tick marks on the ruler, we can estimate the width to be 1.25 cm. Since the perimeter of a rectangle is the sum of all its sides, we find the perimeter by multiplying the width by 2 and adding it to the sum of the two lengths. However, we don't have information about the lengths, so we can't find the exact perimeter, but we can estimate it based on the width. Assuming the lengths are similar, we can use the estimated width of 1.25 cm to estimate the lengths as well.

To estimate the lengths, we can assume that each length is greater than the width. Let's assume the lengths are also 1.25 cm. The perimeter can then be estimated by multiplying the width by 2 and adding it to the sum of the two lengths: (1.25 cm * 2) + (1.25 cm + 1.25 cm) = 2.5 cm + 2.5 cm = 5 cm. Therefore, we estimate the perimeter of the figure to be approximately 5 cm.

The estimated perimeter of the pentagon is 19 units.

To estimate the perimeter of the given pentagon, we need to find the length of each side and add them together. The pentagon has a base of four units and the other sides are three units each.

To find the perimeter, we add the lengths of all the sides. In this case, the base has a length of four units, and there are five sides of three units each.

Calculating the perimeter:
4 + 3 + 3 + 3 + 3 + 3 = 19 units

Therefore, the estimated perimeter of the pentagon is 19 units.

Answer: C -1.9

Step-by-step explanation:

The rate of change of this simple index over 1 week given the change in the stock prices is -1.9%.

The rate of change is the difference in the total value of the simple index.

Total value of the simple index at day 1 = (4000 x $3.15) + (5000 x $4.30) + (6000 x $4.60) = $61,700

Total value of the simple index at day 8 = (4000 x $3.50) + (5000 x $3.90) + (6000 x $4.50) = $60,500

Rate of change = (60,500 / 61700) - 1 = -1.9%

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The answer is -1

Step-by-step explanation:

Answer: all real numbers expect ZERO

Step-by-step explanation:

Answer:

7 birds

Step-by-step explanation:

Let b = number of birds

c = number of cats

We know there were 13 birds and cats

b+c =13

It is $2 per bird and $5 per cat for a total of $44

2b+5c =44

 Solve b+c =13 for c by subtracting b from each side

c = 13-b

Now we can substitute this into the second equation

2b+5c =44

2b + 5(13-b) =44

Now distribute

2b+65 -5b = 44

Combine like terms

-3b +65 =44

Subtract 65 from each side

-3b +65-65 =44-65

-3b = -21

Divide each side by -3

-3b/-3 = -21/-3

b=7

There were 7 birds

We could also find the number of cats

c =13-7

c =6

Answer:

7 birds

Step-by-step explanation:

No. of birds: x

No. of cats: y

2x + 5y = 44

x + y = 13

x = 13 - y

2(13 - y) + 5y = 44

26 - 2y + 5y = 44

3y = 18

y = 6

x = 13 - 6

x = 7

Answer: 27

Step-by-step explanation:

Answer:

[tex]2\pi \: r \\ 2 \times \pi \times 7 \\ = 14\pi[/tex]

Answer:

1808.64

Step-by-step explanation: