Suzy has 26 stickers. Bill has 4 times as many stickers as Suzy . How many stickers does bill have ?

Answer:

Step-by-step explanation:

To find the vertex, we need to put this into vertex form, which is done by completing the square on the quadratic. Begin by moving the 8 over to he other side of the equals sign:

[tex]3x^2-6x=-8[/tex]

Now factor out the 3:

[tex]3(x^2-2x)=-8[/tex]

Now take half the linear term, square it, and add it to both sides. Our linear term is 2. Half of 2 is 1, and 1 squared is 1:

[tex]3(x^2-2x+1)=-8+3[/tex]

We added a 3 on the right because 3 times the 1 we added in is 3. Cleaning that up a bit gives us the perfect square binomial on the left and -5 on the right:

[tex]3(x-1)^2=-5[/tex]

and when we move the -5 back over by adding we have

[tex]3(x-1)^2+5=y[/tex] and our vertex is seen to be (1, 5)

The notation "m^2" is a shorthand way of saying "square meters".

Chances are you'll simply type in the number and leave out the units, as that's already taken care of.

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Work Shown:

area = base*height

area = 8*3

area = 24 square meters

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Explanation:

We simply multiply the base 8 and height 3 and that's our answer. It's not a trick question even if it might seem like it.

The side that's 7 meters long is never used. The base and height are always perpendicular to one another, which means that they form a right angle (aka 90 degree angle).

The area formula of a parallelogram and rectangle are the same. We can think of a non-rectangular parallelogram as a slanted rectangle in a sense. Imagine you had stacks of blocks to form a rectangle. Now imagine nudging that stack slightly to one side. The blocks themselves don't change, so the area of one wall doesn't change. All that's changed is the shape.

[tex]4.[/tex]

Given,

Number of Red pens = 4.

Total number of Pens = ?

They given just 4 red pens. Then, the total number of pens = 4.

Answer:

119 cm

Step-by-step explanation:

20 - 3 = 17

(140/20)(17) = 119 cm

Answer:

97.656

Step-by-step explanation:

75.12 * 1.3 = 97.656

Answer:

22.536

Step-by-step explanation:

=75.12 × 30÷100

= 75.12 × 0.3

= 22.536

= 22.54

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

Set up a proportion with corresponding sides. The two sides marked with a small line in them represent that those sides are equal. Therefore, the side marked 30 is broken into two lines of equal length (each 15).

Thus, we can set up the following proportion:

[tex]\frac{x}{20}=\frac{15}{30},\\\\30x=300,\\\\x=\boxed{10}[/tex]

Coterminal angles are angles in standard position with the same terminal side. For example, angles measuring 120° and – 240° are coterminal.

Answer:

(D)

Step-by-step explanation:

Angles 2 & 6 are called corresponding angles in the diagram and they are congruent if the lines c & d are parallel. Since they are, that means lines c & d are parallel.

Answer:

2

Step-by-step explanation:

Answer:

A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that [tex]n = 1012, \pi = \frac{374}{1012} = 0.3696[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}[/tex]

[tex]E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]

[tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]

A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

It was not letting me add my answer for some reason, but my image is attached below. I hope this helped you.

Answer: C

4×20=80

19+17+15+13+7+5+3+1 = 80

Answer:

4 x 20

Step-by-step explanation:

Step 1. Add all the numbers 19+17+15+13+7+5+3+1 = 80

Step 2. Find the equation that matches the sum. Eliminate the answers you know are wrong. 4 x 20 = 80 is another way of writing all those numbers.

Hope this helps and thanks :)

Answer:

b

Step-by-step explanation:

Answer:

0.5 ft per min

Step-by-step explanation:

in 80 minutes the radius expanded by 40%

we can set up a proportion of percent change over minutes:

.4/80 = r/1

cross-multiply to get:

80r = .4

r = .005 or 1/2 of a foot per minute.

Hope It Helps :)

The radius of the spill changing between the time of the spill was noticed and the arrival of the response team is 2/7.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Let the radian of the spill at time t be μ(t).

Since, radian increases at a constant rate, we have,

dμ/dt = k

r(t) = kt + c

At t = 0, r = 60 m

60 = k(0) + c

c = 60

At, t = 70, r(70) = 80 m

80 = k(70) + 60

20 = 70k

k = 20/70

k = 2/7

Then, r(t) = 2/7t + 60 and the rate of change of radian of the spill is 2/7 per min.

To know more about equation:

https://brainly.com/question/29657983

#SPJ5

Answer:

7. 123

8. 38

9. 68

10. 65

11. 113

12. 52

Step-by-step explanation:

Answer:

7) 123°

8) 38°

9) 68°

10) 65°

11) 113°

12) 52°

Answer:

462

Step-by-step explanation:

(11)C(6) = 11! ÷ 6! 5!

= (11 x 10 9 x 8 x 7) / (5 x 4 x 3 x 2)

= 462

Answer:

30 degrees

Step-by-step explanation:

102+48=150

180-150= 30 degrees

Hope this helped! :)

Answer:

I honestly don't know I'm just trying get my points up

Step-by-step explanation:

Sorry bestie

Answer:

B x >= 11

Step-by-step explanation:

80 miles total, 14 miles already done => 80-14=66 miles left.

66 miles distributed evenly across 6 days means 66/6=11

We have four copies of '2' and one copy of '5' multiplied together

This is the same as saying 2^4*5

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Explanation:

Divide 80 over the smallest prime factor, which is 2

80/2 = 40

Divide that result over 2

40/2 = 20

Keep going until you cannot divide by 2 anymore

20/2 = 10

10/2 = 5

We stop here because 5/2 isn't a whole number. We also stop here since 5 is prime. Circle all the primes that show up and you should have four copies of 2 and one copy of 5.

Therefore: 2*2*2*2*5 = 80

In shorthand, this condenses to 2^4*5 = 80

The factor tree is shown below. Other factor trees are possible.

Answer:

$34,500

Step-by-step explanation:

1% of 550,000 = 5,500

33,000÷ 5,500 = 6%

1% of 575,000 = 5,750

5,750 x 6 = 34,500

Answer:

Step-by-step explanation:

The volume of the rectangular prism is:

Answer:

the required number of telephone orders to complete the 400 interviews is 3433

Step-by-step explanation:

Given the data in the question;

Let us represent the telephone numbers the researcher orders to complete the 400 interviews with Y.

Thus, The working phone numbers = 70% × Y

Now, number of ATM users = 45% × The working ph0ne numbers

⇒ 45% × ( 70% × Y )

number of ATM users = 0.45 × 0.70 × Y = 0.315Y

Thus; Number of people contacted that agrees to complete the survey will be;

⇒ 37% × number of ATM users

⇒ 0.37 × 0.315Y = 0.11655Y

so, since the researcher needs at least 400 interviews

Hence;

0.11655Y ≥ 400

Y ≥ 400 / 0.11655

Y ≥ 3432.0034 ≈ 3433

Therefore, the required number of telephone orders to complete the 400 interviews is 3433

Answer:

(-3,3) and (4,0) are inside the triangle.

Answer:

C. 12.04 inches

Step-by-step explanation:

Diagonal of a prism cam be solved using the extension of Pythagorean theorem which is given as:

d² = x² + y² + z²

x = 10 in.

y = 6 in.

z = 3 in.

d² = 10² + 6² + 3²

d² = 100 + 36 + 9

d² = 145

d = √145

d = 12.0415946

d = 12.04 inches (nearest hundredth)

Answer:

I think it is 1/4x not sure but try it