Solve using substitution y = -4x + 10 y = -x + 1.
will give brainleist if correct
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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:

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:

$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:

The Part A answer would be 25% selling price. For Part B 10% would be the retail for the book.

Step-by-step explanation: 40% the less price 25% then next 25% less 10%.

Answer:

409 i would say

Step-by-step explanation:

very sorry is its wrong!!! :(

Answer:

prob d im guessing :^)

Step-by-step explanation:

tell me if i got it right or wrong i will fix if needed

Answer:

2/5+1/5=3/5

Step-by-step explanation:

What I think ur trting to say; Noah is thinking of two fractions that have the same sum of 3/5. Each fraction has a numerator of 1. What are the denimonitors of the fractions? Enter your answers in the box

answer

2 and 10

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:

B

Step-by-step explanation:

brainliest?

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:

I have come to the conclusion that it is A. 112,000

Answer:

d) 127,000 members

Step-by-step explanation:

In this problem we have an exponential function of the form

where  a is the initial value

b is the base

The base is equal to  b=1+r

r is the average rate

In this problem we have  a=23,000 members

r=5%=5/100=0.05

b=1+0.05=1.05

substitute

x ----> is the number of years since 1985

How many members will there be in 2020?

x=2020-1985=35 years

substitute in the function

Round to the nearest thousand

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: 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:

The point estimate for the true difference between the population means is of -2.62 years.

The 95% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -3.4 years and -1.84 years.

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem, and subtraction between normal variables.

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]

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the mean, while the standard deviation is the square root of the sum of variances.

A sample of 138 cars owned by students had an average age of 5.13 years. The population standard deviation for cars owned by students is 3.45 years.

This means that:

[tex]\mu_{s} = 5.13, \sigma_{s} = 3.45, n = 138, s_s = \frac{3.45}{\sqrt{138}} = 0.2937[/tex]

A sample of 111 cars owned by faculty had an average age of 7.75 years.  The population standard deviation for cars owned by faculty is 2.08 years.

This means that [tex]\mu_{f} = 7.75, \sigma_{f} = 2.08, n = 111, s_f = \frac{2.08}{\sqrt{111}} = 0.2658[/tex]

Difference between the true mean ages for cars owned by students and faculty.

s - f

Mean:

[tex]\mu = \mu_s - \mu_f = 5.13 - 7.75 = -2.62[/tex]

This is the point estimate for the true difference between the population means.

Standard deviation:

[tex]s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2937^2+0.2658^2} = 0.3961[/tex]

Confidence interval:

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 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = zs = 1.96*0.3961 = 0.78[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is -2.62 - 0.78 = -3.4

The upper end of the interval is the sample mean added to M. So it is -2.62 + 0.78 = -1.84

The 95% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -3.4 years and -1.84 years.

Answer:

8

Step-by-step explanation:

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:

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:

B

Step-by-step explanation:

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:

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:

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:

Hi! The answer to your question is -10

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

ok

Step-by-step explanation:

whats the question?

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

To learn more about unit conversion click :

https://brainly.com/question/19420601

#SPJ2

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!!!

Please rate and heart if my answer helped you!!!!

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:

 (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