a recipe for 24 bran muffins requires 2.25 cups of flour. You want to make 30 bran muffons. which proportion could be solved to find x, the total number of cups of flour needed

Answer:

Step-by-step explanation:

Answer:

this is a line with a slope of 1 and a y-intercept of 3

Answer:

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{0.25}{\sqrt{100}} = 0.06[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.5 - 0.06 = 7.44 ounces.

The upper end of the interval is the sample mean added to M. So it is 7.5 + 0.06 = 7.56 ounces.

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

Answer:

The total amount of pollution discharged during the first 7 years of operation is 1.955 tons

Step-by-step explanation:

Given

[tex]r(t) = \frac{t}{t^2 + 1}[/tex]

Required

The total amount in the first 7 years

This implies that:

[tex]r(t) = \frac{t}{t^2 + 1}; [0,7][/tex]

The total amount is calculated by integrating r(t) i.e.

[tex]v = \int\limits^a_b {r(t)} \, dt[/tex]

So:

[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]

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

We have:

[tex]t^2 + 1[/tex]

Differentiate

[tex]d(t^2 + 1) = 2t[/tex]

Rewrite as:

[tex]2t = d(t^2 + 1)[/tex]

Solve for t

[tex]t = \frac{1}{2}d(t^2 + 1)[/tex]

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So:

Make t the subject

[tex]v = \int\limits^7_0 {\frac{t}{t^2 + 1}} \, dt[/tex]

[tex]v = \int\limits^7_0\frac{1}{2}* {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]

[tex]v = \frac{1}{2}\int\limits^7_0 {\frac{d(t^2 + 1)}{t^2 + 1}} \, dt[/tex]

Integrate

[tex]v = \frac{1}{2}\ln(t^2 +1)|\limits^7_0[/tex]

Expand

[tex]v = \frac{1}{2}[\ln(7^2 +1) - \ln(0^2 +1)][/tex]

[tex]v = \frac{1}{2}[\ln(50) - \ln(1)][/tex]

[tex]v = \frac{1}{2}[3.91 - 0][/tex]

[tex]v = \frac{1}{2}[3.91][/tex]

[tex]v = 1.955[/tex]

Answer:

x^2-3y

5^2-3*8

25-24

1

Step-by-step explanation:

Answer:

It should be c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The answer is A

Very few circles are congruent. Certainly if a circle has a radius of 8 and another one 2 city blocks away also has a radius of 8, both are congruent.  But if one of them has a radius of 4 and the other a radius of 10, they are not congruent.

A does not have to be true.

Answer:

25.13

C=2πr

C=2(3.14)4

Answer:

1 no answer=1/100

2 no answer=1/100

3 no answer=100

Step-by-step explanation:

Answer:

75ft

Step-by-step explanation:

if the shadow of a 6ft = 2.4ft

then the shadow of x=(30/2.4)×6=75

Answer:

D. 78°

Step-by-step explanation:

50°+28°= 78°

_______

9514 1404 393

Answer:

  x = 2 1/3

Step-by-step explanation:

We can examine the equations to see where the solution lies.

f(x) = (2/3) -x

This has an x-intercept where y=0, at x=2/3. It has a y-intercept where x=0, at y=2/3. Its slope is -1.

h(x) = 3 -2x

This has an x-intercept where y=0, at x=3/2. It has a y-intercept where x=0, at y=3. Its slope is -2.

__

In the first quadrant, the graph of h(x) is farther from the origin and steeper than the graph of f(x). The lines must cross in the 4th quadrant at some value of x that is greater than 3/2. The fraction in the definition of f(x) suggests that the solution will be a multiple of 1/3.

The attached table shows a couple of guesses at values of x that would make f(x) = h(x). We find that x = 7/3 is the solution we're looking for.

_____

Additional comment

Repetitive function evaluations are done conveniently and with fewer errors by a calculator or spreadsheet that can work with tables of values. Here, we have used a graphing calculator. These tools are readily available for free on almost any phone, tablet, or desktop computer platform.

Answer:

plot ur x,y coordinates as (0,-8) (1,-8)

Answer:

E. C= 80+ 12n

Step-by-step explanation:

____________

Answer:

[tex]x=4,\\y=8[/tex]

Step-by-step explanation:

Notice that in the diagram, opposite sides are equal. This is true for any rectangle, so even without the equal sides being marked, we'd know that each pair of opposite sides have the same length.

Therefore, we can set up the following equations and solve for [tex]x[/tex] and [tex]y[/tex]:

[tex]2y=y+8,\\y=\boxed{8}[/tex]

[tex]4x-8=2x,\\-8=-2x,\\x=\boxed{4}[/tex]

Answer:

according to me 4 is the answer

Step-by-step explanation:

Answer:

28.35

Step-by-step explanation:

you can use mathswatch or hegarty maths to help u

Answer:

14x

Step-by-step explanation:

14x = 14 x (x) = 14(x)

Answer:

Step-by-step explanation:

Look at the graph at the time given and determine how the line will continue based on its current trajectory;

A. T

B. S

C. 20 minutes

Answer:

B. f(x) = | x + 61 |

Step-by-step explanation:

An absolute value function is known by single vertical parenthesis demarcating the equation on both sides.

The only option with this indication is option B.

B. f(x) = | x + 61 |

This equation can be solved in two ways;

first; f(x) = - (x + 61)

second; f(x) = x + 61

Answer:

65*

Step-by-step explanation:

12x-7+16x+19=180

28x=168

x=6

12(6)-7=65

Answer:

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hope it helps...

have a great day!!

Answer:a

Step-by-step explanation:a

Answer:

Step-by-step explanation:

2

Answer:

1st quartile: 2.6

2nd quartile or median: 3.1

3rd quartile: 3.25

Step-by-step explanation:

Answer:

A = 1/2 × b × h

A = 1/2 × 60 × 30

A = 1/2 x 900

A = 450

--------

A = 1/2 x 6 x 18

A= 1/2 x 54

A = 27

----------

27 + 450 = 477

=477

Step-by-step explanation:

Answer:

x = 0.5

Step-by-step explanation:

[tex]\frac{5}{2x} +3=\frac{4}{x}[/tex]

[tex]2x(\frac{5}{2x} +3)=2x(\frac{4}{x})[/tex]

5 + 6x = 8

5 - 5 + 6x = 8 - 5

6x = 3

[tex]\frac{6x}{6} =\frac{3}{6}[/tex]

x = 0.5

Answer:

Step-by-step explanation:

6x-1+3x+5x+3+4x+8+5x+5=360 degree(sum of exterior angle of a pentagon is 360 degree)

23x+15=360

23x=360-15

x=345/23

x=15

therefore the value of x is 15 degree.

Answer:

a

Step-by-step explanation:

you are correct it is a (decreases) when objects move farther away the strength of the force becomes less.