solve system of equations using any method y=3x and 5y+5x=40

Answer:

594 cubic inches

Step-by-step explanation:

you multiply length times width times height to get 594

Answer:594

Step-by-step explanation: times 18x11x3

hope this helps

Answer:

1. B) x = 12

2.C)  -5

3. A) 4

7. C) -4

8. A) -4x -6 = 16x

9. B) 29x = 0

Step-by-step explanation:

okay, number 7 you have to distribute -3 to 6 to get -18. So you get 4 -(3*2y) - 18 = 10. add 18 to both sides to get 4 -(3*2y) = 28. subtract the 4. -(3*2y) = 24. Rever the negative. (3*2y) = -24. Divid by 3; 2y = -8. And divide by 2; y = -4.

Same with number 8 but keeping the 16x.

4x - 2 (4x + 3) = 16x

4x - 8x + - 6 = 16x

-4x + -6 = 16x

9.

4(3 - 4x) = 12

3 - 4x = 3

-4x = 0

x = 0

Now you know x = 0 so anything multipied

with the x is 0. The answer is B.

I hope this helped :)

Answer:

B, D, and E

Step-by-step explanation:

You'll have to distribute each and put them into a full equation again.

A. -3x + 24

B. -3x - 24

C. -3x + 24

D. -3x - 8/3

E. -3x - 24

F. -3x + 24

I bolded the ones that did not equal -3x + 24

so your answer is B, D, and E

The difference between a type II error and a type I error is that a type I error rejects the null hypothesis when it is true (i.e., a false positive). The probability of committing a type I error is equal to the level of significance that was set for the hypothesis test.

The null hypothesis in inferential statistics is that two possibilities are equal. The underlying assumption is that the observed difference is just the result of chance. It is feasible to determine the probability that the null hypothesis is correct using statistical testing.

A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is H0.

Learn more about null hypothesis here

https://brainly.com/question/15980493

#SPJ4

Answer:

It will give you the opposite sign.  

Step-by-step explanation:

If you multiply two negatives you will end up with a positive and vice versa with positives.  The same thing applies to dividing.  

Step-by-step explanation:

Volume =

1/3πr²h

= 1/3×3.14×2²×9

= 37.68 units ³

Hope it will help :)❤

Answer:

  283 m

Step-by-step explanation:

The tangent relation is useful for this.

  Tan = Opposite/Adjacent

This tells us the distance from Rob's height to the ground on the other cliff is ...

  tan(60°) = CB/CA

  CB = CA·tan(60°) = 110·tan(60°)

Similarly, ...

  tan(40°) = CD/CA

  CD = CA·tan(40°) = 110·tan(40°)

Then the height of the smaller cliff is ...

  BD = CB +CD = 110·(tan(60°) +tan(40°)) ≈ 282.8 m

The height of the smaller cliff is about 283 m.

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

The equation can have no solution or as many solutions as possible

Terrence's conclusion that the equation has infinitely many solutions is false

The equation is given as:

101 - 6+ 2 = 4(3x - 1) - 2

Open the bracket

101 - 6+ 2 = 12x - 4 - 2

Collect the like terms

12x = 101 - 6+ 2 + 4 + 2

Evaluate the like terms

12x = 103

Divide both sides by 12

x =103/12

The above shows that the equation has one solution

Hence, Terrence's conclusion that the equation has infinitely many solutions is false

Read more about equation solutions at:

https://brainly.com/question/7784687

This \(\rm P(Z\geq 1.7)\)  is equivalent to  \(\rm 1-P(Z\leq 1.7)\)

It is given that the  \(\rm P(Z\geq 1.7)\)

It is required to find which statement is equivalent to \(\rm P(Z\geq 1.7)\)

The statements are:

\(a) \ \rm P(Z\geq -1.7)\\b) \ \rm 1-P(Z\geq -1.7)\\c) \ \rm P(Z\leq 1.7)\\d) \ \rm 1-P(Z\leq 1.7)\)

It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.

We have the \(\rm P(Z\geq 1.7)\)

We know that:

\(\rm P(Z\leq a)=P(Z\geq -a)\\\rm P(Z\geq a)=P(Z\leq -a)\)

If we compare statement (a) and statement (c), we will see these options are not equivalent to  \(\rm P(Z\geq 1.7)\)

For statement (b) if we plot the graph for the given statement we will get the negative area of the bell curve hence it is also incorrect.

For statement (d) if we plot the graph for the given statement we will get the positive area which is equivalent to the \(\rm P(Z\geq 1.7)\)

Thus, the \(\rm P(Z\geq 1.7)\)  is equivalent to  \(\rm 1-P(Z\leq 1.7)\)

Know more about the normal distribution here:

https://brainly.com/question/12421652

Answer:

the correct answer is x=5

Answer:

C. 5

Step-by-step explanation:

The given data can be presented as follows;

\(\begin{array}{ccc}x&&y\\2&\leftrightarrow &1\\3&\leftrightarrow &4\\4&\leftrightarrow &6\\5&\leftrightarrow &7\\6&\leftrightarrow &6\\7&\leftrightarrow &3\\8&\leftrightarrow &2\\9&\leftrightarrow &1\\10&\leftrightarrow &1\end{array}\)

We find the sum of the data points as follows;

n = 1 + 4 + 6 + 7 + 6 + 3 + 2 + 1 + 1 = 31

The median will be located in the (n + 1)/2 th data point

Therefore the median is the (31 + 1)/2 = 16th data point

The sum of the first three bars on the histogram = 11

The sum of the first four bars on the histogram = 18

Therefore, the 16th data point is located in the fourth bar which has x value of 5

The median is therefore, C. 5

Answer:

a

Step-by-step explanation:

The most inaccurate version of pi in history was likely that of the ancient Egyptians, around 1650 BCE.

The value they used was approximately 3.125, which is quite different from the true value of pi (approximately 3.14159).

Explanation of how this value was derived and its context in history:
1. The ancient Egyptians were known for their achievements in mathematics, especially in the field of geometry.

They used their knowledge to construct monumental structures like the pyramids.
2. To calculate the area of a circle, the Egyptians used a formula that approximated pi as the ratio of the circumference to the diameter of the circle.

They likely derived this value from their observations and measurements of circular objects.
3. The value they used for pi, approximately 3.125, can be found in the Rhind Mathematical Papyrus, an ancient Egyptian mathematical document dating back to around 1650 BCE.

This document contains several mathematical problems and solutions, including those related to geometry.
4. Although the ancient Egyptians' approximation of pi was inaccurate compared to the true value, it served their purposes at the time and was an impressive achievement considering the tools and knowledge available to them.
5. Over time, mathematicians continued to refine the value of pi, with more accurate approximations being developed by scholars like Archimedes (circa 287-212 BCE), who calculated pi to be between 3.1408 and 3.1429.
In summary, the most inaccurate version of pi in history was likely that of the ancient Egyptians, who used a value of approximately 3.125 around 1650 BCE.

This value, though far from the true value of pi, was still a significant achievement for their time.

For similar question on version.

https://brainly.com/question/25605883

#SPJ11

Answer:150

Step-by-step explanation:

600/4=150  (150)3=450  450+150=600

Answer: 150 dollars

Step-by-step explanation: Because the dryer is equal to washer divided by 3 you can substitute Washer/3 in the equation

W+ W/3=600

multiply both sides by 3

3W+W=1800

4W=1800

Divide both sides by 4

The answer to W is 450 dollars which you then divide by three to get 150 dollars

The exact values of the remaining trigonometric functions are listed below:

Case 3: cos θ = 3 / 5, tan θ = 4 / 3, cot θ = 3 / 4, sec θ = 5 / 3, csc θ = 5 / 4

Case 4: sin θ = √11 / 6, tan θ = √11 / 5, cot θ = 5√11 / 5, sec θ = 6 / 5, csc θ = 6√11 / 11

Case 5: cos θ = 8√73 / 73, sin θ = 3√73 / 73, tan θ = 3 / 8, cot θ = 8 / 3, csc θ = √73 / 3

Case 6: sin θ = 1 / 2, cos θ = √3 / 2, tan θ = √3 / 3, sec θ = 2√3 / 3, csc θ = 2

In this problem we find four cases of trigonometric functions, whose exact values of remaining trigonometric functions must be found. The trigonometric functions are defined below:

sin θ = y / √(x² + y²)

cos θ = x / √(x² + y²)

tan θ = y / x

cot θ = x / y

sec θ = √(x² + y²) / x

csc θ = √(x² + y²) / y

Now we proceed to determine the exact values of the trigonometric functions:

Case 3: y = 4, √(x² + y²) = 5

x = √(5² - 4²)

x = 3

cos θ = 3 / 5

tan θ = 4 / 3

cot θ = 3 / 4

sec θ = 5 / 3

csc θ = 5 / 4

Case 4: x = 5, √(x² + y²) = 6

y = √(6² - 5²)

y = √11

sin θ = √11 / 6

tan θ = √11 / 5

cot θ = 5√11 / 5

sec θ = 6 / 5

csc θ = 6√11 / 11

Case 5: x = 8, √(x² + y²) = √73

y = √(73 - 8²)

y = 3

cos θ = 8√73 / 73

sin θ = 3√73 / 73

tan θ = 3 / 8

cot θ = 8 / 3

csc θ = √73 / 3

Case 6: x = √3, y = 1

sin θ = 1 / 2

cos θ = √3 / 2

tan θ = √3 / 3

sec θ = 2√3 / 3

csc θ = 2

To learn more on trigonometric functions: https://brainly.com/question/25618616

#SPJ1

Answer:

x = -2

Step-by-step explanation:

alot to explain soo

Answer: B. X = -2

Step-by-step explanation:

-9x + 1 = -x + 17 (add x to both like terms).

-8x + 1 = 17 (subtract 1 from both sides).

-8x = 16 (divide 8 by both sides)

X = -2

Hope this helped. :)

Answer:

I'm gonna say the first one

Answer:

$ 7800

Step-by-step explanation:

P'(t) = 3t² + 10t + 6

\(P(t) = \int\limits^a_b {P'(t)} \, dt\)

For the 4th year, the limits are [3,4]

\(P(t) = \int\limits^4_3 {3t^2 + 10t + 6} \, dt\\\\= [\frac{3t^3}{3} + \frac{10t^2}{2} + 6t]^{^4}__{3}\\\\\)

\(=[\frac{3(4)^3}{3} + \frac{10(4)^2}{2} + 6(4)]-[\frac{3(3)^3}{3} + \frac{10(3)^2}{2} + 6(3)]\\\\=[\frac{3(64)}{3} + \frac{10(16)}{2} + 24]-[\frac{3(27)}{3} + \frac{10(9)}{2} + 18]\\\\= [64 + 5(16) + 24]-[27+5(9) + 18]\\\\= 168-90\\\\= 78\)

= $ 7800

Answer: Standard Form

Step-by-step explanation:

In the slope intercept form, you can only solve for one equation at a time.

Ex: y = -2.5x + 15

but when using standard you can easly get the answer for both ticket prices

Ex: 25x + 10y = 150

5r + 2g = 30 is the linear equation that best describes the scenario.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given this, Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10.

Let "r" be the Number of reserved tickets she bought

and "g" be the number of  general admission tickets she bought

Money spent od reserved ticket = 25 * r

Money spent in general tickets = 10 *g

Since she totals spent 150$

Thus, the equation will be

25r + 10g = 150

Divide by 5 into both the sides

5r + 2g = 30

therefore, The linear equation that represents the given situation is 5r + 2g = 30.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ2

Answer:

if m and n are parallel then the value of x is 11

Answer:

B

Step-by-step explanation:

Spirit has a fixed fee of 20 dollars and it charges 0.05 per minute so that would be 0.05x. The other one only charges 0.15 per minute so 0.15x.

Answer:

35/48

Step-by-step explanation:

You just want to focus on the 8th graders. Add add the total number of students together to get your denominator. Then just put what your # of  bass students are and that is your probability in fraction form. ( the fraction can't be simplified smaller than it already is.)

the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.

To find the probability that the claim will be rejected assuming the manufacturer's claim is true, we need to calculate the probability of having 70 or fewer patients cured out of 100.

First, we need to determine the mean (μ) and standard deviation (σ) of the binomial distribution.

For a binomial distribution, the mean (μ) is given by μ = n * p, where n is the number of trials (100 patients) and p is the probability of success (0.73).

μ = 100 * 0.73 = 73

The standard deviation (σ) of a binomial distribution is given by σ = sqrt(n * p * (1 - p)).

σ = sqrt(100 * 0.73 * (1 - 0.73)) = sqrt(100 * 0.73 * 0.27) = sqrt(19.71) ≈ 4.44

Next, we will use the normal distribution to approximate the binomial distribution. Since the sample size is large (n = 100) and both np (100 * 0.73 = 73) and n(1 - p) (100 * 0.27 = 27) are greater than 5, the normal approximation is valid.

We want to find the probability of having 70 or fewer patients cured, which is equivalent to finding the cumulative probability up to 70 using the normal distribution.

Using the z-score formula:

z = (x - μ) / σ

For x = 70:

z = (70 - 73) / 4.44 ≈ -0.6767

Now, we can use a standard normal distribution table or a calculator to find the cumulative probability up to z = -0.6767.

The cumulative probability P(X ≤ 70) is approximately 0.2489.

Therefore, the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.

Learn more about Probability here

https://brainly.com/question/32117953

#SPJ4

The approximate difference between Calvin and Makayla's number of years of money invested is 2 years.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

\(A=P\left(1+\dfrac{r}{t}\right)^{t}\)

Here, \(A\) is the final amount (principal plus interest amount) on the principal amount of \(P\) with the rate of \(r\) in the time period of \(t\).

Calvin deposits $400 in a savings account and Interest rate is 5 present compounded monthly.

As the final amount Calvin has $658.80 in c years. Thus the monthly compound interest can be given as,

\(658.8=400\left(1+\dfrac{5}{12\times100}\right)^{12c}\\\dfrac{658.8}{400}=\left(\dfrac{1205}{1200}\right)^{12c}\\c\cong10\rm years\)

Now Makayla deposits $300 in a different savings account that accrues 6% interest compounded quarterly. The final amount she gets is $613.4 in m years. Thus,

\(613.4=300\left(1+\dfrac{6}{12\times100}\right)^{12m}\\\dfrac{613.4}{300}=\left(\dfrac{1206}{1200}\right)^{12m}\\c\cong12\rm years\)

Thus, the approximate difference in the number of years that Calvin and Makayla have their money invested is 2 years.

Learn more about the compound interest here;

https://brainly.com/question/24274034

Answer:

B. Makayla invests her money 2 years longer.

Step-by-step explanation:

edge

Answer:

Best of luck! I hope your exam goes well!!!

Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

The mass of the solid is 7π/2 units.

The task is to calculate the mass of the solid.

Step-by-step solution: The solid occupies the region between the unit sphere at the origin and a sphere of radius 2 with the center at the origin. The spherical coordinates in 3D space are (r,θ,φ), where:r = radius, θ = polar angle, φ = azimuthal angle.

The equations of the given sphere are r=1 for the unit sphere and r=2 for the second sphere.

Using spherical coordinates, the solid can be defined as 1≤r≤2, 0≤θ≤2π, 0≤φ≤π.

The density is equal to the distance from the origin, i.e. ρ = r.

The mass of the solid is given by the triple integral ρ dV taken over the solid, where dV is the volume element in spherical coordinates.dV = r²sin φ dφdθdr

The limits for the triple integral are: 0 ≤ θ ≤ 2π, 0 ≤ φ ≤ π, and 1 ≤ r ≤ 2.M = ∭ρ dV = ∭r(r²sin φ) dφdθdr= ∫[0,2π]∫[0,π]∫[1,2] r³sin φ drdφdθ= ∫[0,2π]∫[0,π] -cos φ [r⁴/4]₁ ₂ drdφdθ= ∫[0,2π]∫[0,π] 7/4 cos φ dφdθ= ∫[0,2π] 7sin φ/4 ]₀  π dθ= 14π/4= 7π/2 units.

The mass of the solid is 7π/2 units.

To know more about azimuthal angle visit:

https://brainly.in/question/11338310

#SPJ11

Answer:

5.94

Step-by-step explanation:

To find the mean, you need to add the numbers and divide it by however many numbers you have.

4.7 + 4.2 + 8.2 + 9.5 + 3.1 = 29.7

There are 5 numbers, so divide the sum by 5

29.7/5 = 5.94

The mean of the data set 4.7, 4.2, 8.2, 9.5, 3.1 will be 5.94.

The mean is the straightforward meaning of the normal of a lot of numbers.

The data set is given below.

4.7, 4.2, 8.2, 9.5, 3.1

Then total number of the term are 5.

Then the mean will be

Mean = (4.7 + 4.2 + 8.2 + 9.5 + 3.1) / 5

Mean = 29.7 / 5

Mean = 5.94

More about the mean link is given below.

https://brainly.com/question/521501

#SPJ2

The ratio of the density of cube A to the density of cube B as required in the task content is; 81 : 128.

It follows from the task content that the ratio of the density of cube A to cube B is to be determined.

Recall that the density of an object is given as its mass to volume ratio.

Therefore, given that the volumes are equal; it can be inferred that the density and mass are directly proportional.

Ultimately, the required density ratio can be estimated from the given masses as;

Density of A : Density of B = 81 : 128.

Consequently, the required ratio is; 81 : 128.

Read more on direct proportion;

https://brainly.com/question/1266676

#SPJ1