how many quarts of pure antifreeze must be added to 6 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution

Answer:

50 square meters should be your answer

Step-by-step explanation:

The formula of the Surface Area of a sphere is 4πr2 (4*r*squared)

if the radius of the sphere is 2 m, our formula will become 4π(2)[squared]

let us break this down into two pieces:

4π = 12.5663706144

2[squared] = 4

Then when we multiply our answers:

12.5663706144 * 4 = 50.2654824576

since it says to round it to the nearest whole number, we can round this to 50

I HOPE YOU HAVE A WONDERFUL DAY AND GET THIS CORRECT!!!

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Answer:

x=1/6 or 0.16

Step-by-step explanation:

x has to be whatever makes the equation true.

does 1/3 +2= 4 alone no does it = 4 when you do the 1/3(1/6) yes

Answer:

Angle C

Step-by-step explanation:

By applying sine rule in the given triangle,

[tex]\frac{\text{sinB}}{CD}=\frac{\text{sinC}}{BD}=\frac{\text{sinD}}{BC}[/tex]

[tex]\frac{\text{sinB}}{\text{sinC}}=\frac{\text{CD}}{\text{BD}}[/tex]

Therefore, sides of the given triangle will be in the same ratio as the sine of the angles.

Since, BD > BC > CD

Therefore, Opposite angles of these sides will be in the same ratio.

∠C > ∠D > ∠B

Largest angle of the triangle is angle C.

Answer:

1.5 meters

Step-by-step explanation:

the fabric is 4 meters long

first piece is 1.25 meters long

second piece will be (4-1.25)=2.75 meters long

therefore the second piece is (2.75-1.25) meters longer

Answer:

1.5 meters

Step-by-step explanation:

4 meters - 1.25 meters=2.75m is the length of the second one.

But when they ask how much longer , I think they want you to compare the two pieces meaning to get the answer you have to take 2.75m-1.25m=1.5m thats how much longer the 2nd fabric is longer than the other one.

hope am right

Answer:

The answer is B and C

Step-by-step explanation:

1 Meter is equal to 0.001 Kilometer

1 Centimeter is equal to 0.01 Meters

The unit conversions which has the true measurements are

a) 7 cm = 0.07 m

b) 7,000 m = 7 km

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the unit conversion be represented as A

Let the first measurement be p

where the value of p is

p = 7 cm

From the unit conversion , 1 m = 100 cm

So , 7 cm = 0.07 m

And , let the second measurement be q = 7,000 m

From the unit conversion , 1 km = 1,000 m

7,000 m = 7 km

Hence , the unit conversions are solved

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Answer:

151.4496

Step-by-step explanation:

it has not been rounded or anything that is the exact answer

Answer: 151.45 (151.4496)

Step-by-step explanation:

Formula: A = (a+b)/2 * h

Base = 22.2

Base = 8.52

Height = 9.86

Do the following:

(22.2+8.52)/2 * 9.86 = 151.4496

Answer:

$119.79

Step-by-step explanation:

Formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Given:

P = 90

r = 0.1

t = 3

n = 1

Work:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=90(1+\frac{0.1}{1} })^{3*1}\\\\A=90(1.1)^3\\A=90(1.331)\\A=119.79[/tex]

Answer: x=8

Step-by-step explanation:

We know that it is a square, so the diagonals divide the four triangles evenly.

A whole circle will have 360°. When it is divides into 4, each angle will be

360/4=90°

The vertex of each triangle will be 90°

And the given vertex equation is 8x+26

8x+26=90

8x+26-26=90-26

8x=64

x=8

Hope this helps!! :)

Please let me know if you have any questions

Answer:

B)  x = 12

Step-by-step explanation:

m∡EOU = m∡TQE

m∡EOU =180 - (39+45) = 96°

m∡TQE:  7x + 12 = 96

7x = 84

x = 12

Answer:

[tex]\dfrac{-8}{x+3}[/tex]

Step-by-step explanation:

We need to find an algebraic expression for the given statement i.e. "the quotient of negative eight and the sum of a number and three".

Let the number be x. Quotient means to divide. It means we need to divide -8 and the sum of x and 3.

So, we can write it as follows :

[tex]\dfrac{-8}{x+3}[/tex]

Hence, this is the required solution.

Answer:

A

Step-by-step explanation:

We want to solve the equation:

[tex]5\sin(2x)=3\cos(x)[/tex]

To do so, we can rewrite the equation.

Recall the double-angle identity for sine:

[tex]\sin(2x)=2\sin(x)\cos(x)[/tex]

By substitution:

[tex]5\left(2\sin(x)\cos(x)\right)=3\cos(x)[/tex]

Distribute:

[tex]10\sin(x)\cos(x)=3\cos(x)[/tex]

We can subtract 3cos(x) from both sides:

[tex]10\sin(x)\cos(x)-3\cos(x)=0[/tex]

And factor:

[tex]\cos(x)\left(10\sin(x)-3\right)=0[/tex]

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0 and we cannot divide by 0. Hence, we should subtract and then factor.

Answer:

A. cosx(10sinx-3)=0

Step-by-step explanation:

5(2sinxcosx)=3cosx

10sinxcosx-3cosx=0

cosx(10sinx-3)=0

Answer:

e. A matched pairs t-test for a mean difference

Step-by-step explanation:

When the observations from two samples are paired either naturally or by design we find the differences between the two observations of each pair.Treating the differences as a random sample from a normal population with mean ud= u1-u2 and unknwn standard deviation σd we perform one sample t- test on them. This is called the paired difference t- test or a paired t- test.

Suppose 10 young recruits are given a physical training by the Army . Their weights are recorded before and after the training. These observations constitutes natural pairing .

When we eliminate the undesireable sources of variation to take observations in pairs , this is called pairing by design.

Answer:

 (g-f)(x) =  x²-7x -1

Step-by-step explanation:

hello :

g(x)=x²-5x        f(x)=2x+1      

(g-f)(x) =g(x) - f(x) = x²-5x- (  2x+1 ) =  x²-5x -   2x-1

 (g-f)(x) =  x²-7x -1

Answer:

I think that's right. But the angle in the corner actually might be the 28 degrees. One sec this question is a little confusing

Step-by-step explanation:

Answer:

1/20 of 2 minutes = 6 seconds

Answer:

1/20; 0.05; 5%

Step-by-step explanation:

Well, 2 minutes is 120 seconds, 6/120 simplified is 1/20, and decimal form would be 0.05, which is 5%

Answer:

0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

3.5% of the people in the area where a large wedding is to be held are pollotarian.

This means that [tex]p = 0.035[/tex]

300 guests

This means that [tex]n = 300[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.035[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.035*0.965}{300}} = 0.0106[/tex]

What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals?

This is 1 subtracted by the pvalue of Z when X = 0.05. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.05 - 0.035}{0.0106}[/tex]

[tex]Z = 1.41[/tex]

[tex]Z = 1.41[/tex] has a pvalue of 0.9207

1 - 0.9207 = 0.0793

0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals

Answer:7.93%

Step-by-step explanation:

Answer:

15.70

Step-by-step explanation:

Answer:

78.5

Step-by-step explanation:

Formula: a = πr², r = d/2

Given: π = 3.14, d = 10

Sub: a = (3.14)r²

Find r.

r = 10/2

r = 5

Sub: a = (3.14)5²

Simplify: a = (3.14)25

Solve: a = 78.5

The answer is 78.5.

If this truly helped you, help me out by thanking me.

-Xax.

Answer:

8

Step-by-step explanation:

Answer:

The car gets 35 miles per gallons.

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

The x values (inputs) are used multiple times (the 4 has 2 arrows coming out of it). Only y values can be repeated, but not X values.

If this truly helps you, help me out too, and thank me.

-Xax

Answer:

No

Step-by-step explanation:

A function gives only one output per input, which means an x value can only give one y value. Assuming the right side is f(x) and the left is x:

-4 points to both 12 and 15 which isn't possible for a function

Answer:

B

Step-by-step explanation:

Answer:

2pi

2pi radians are equal to 360 degrees. After this point, the function f(x) = sin(x) repeats its values again. Each cycle is 2pi radians long.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

brainliest?

Answer:

x = 10

Step-by-step explanation:

Let's draw the center of the circle S and the segments SE and SD.

SE is perpendicular to EF (as EF is tangent to circle).

That means FED + DES = 90deg

We also know that DSE = 120deg

And because the SED is an isosceles triangle, we know that angle measures for DES and SDE are equal.

DES = (180deg - 120deg) / 2 = 30deg

FED = 90deg - DES = 90deg - 30deg = 60deg

7x - 10 = 60

7x = 70

x = 10

Answer:

ok

Step-by-step explanation:

whats the question?

Answer:

Hi! The answer to your question is -10

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka