1. Which line has a slope of 1, and which has a slope of 2?

2. Use a ruler to help you graph a line whose slope is 1/3. Albee this line a

The volume of the solid is combined of a cone, cylinder, and hemisphere is

329.7 cubic cm.

The volume of a cone is (1/3)πr²h.

The volume of a cylinder is πr²h.

The volume of half a sphere or a hemisphere is (1/3)πr³.

The given figure has a volume combined of a cone, cylinder, and hemisphere.

∴ The volume of the solid is = (1/3)π(3)²×5 + π(3)²×(8) + (2/3)π(3)³ cubic cm.

= (47.1 + 226.08 + 56.52) cubic cm.

= 329.7 cubic cm.

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Answer:

Step-by-step explanation:

Two washing machines are offered at $480, with one marked down 50% and the other marked down 30% and another 20% off. You want to know why the first machine has a better price, and what that price is.

The price after a 50% markdown is ...

  $480 × (1 -50%) = $480 × 0.50 = $240 . . . first machine sale price

The price after a 30% markdown is ...

  $480 × (1 -30%) = $480 × 0.70

After the additional 20% markdown, the price is ...

  ($480×0.70) × (1 -20%) = $480 × 0.70 × 0.80

  = $480 × 0.56 ≈ $269

The first machine is a better deal, because The 50% markdown is off the original price.

The 30% markdown on the second machine is off the original price, but the additional 20% is off the reduced price. Hence the total markdown is not as great as on the first machine.

Answer: 1+1=7

Step-by-step explanation: wheres the question

The Triple Intergral of the given expression is [tex]4 \pi \times ln (\frac{a}{b})[/tex]

[tex]\int\limits \int\limits \int\limits_w \frac{dx dy dz}{(x^2 + y^2 + z^2)^{\frac{3}{2}}}[/tex]

[tex]\text{Where } x^2 + y^2 + z^2 = a^2 \text{ and } x^2 + y^2 + z^2 = b^2, 0 < b < a[/tex]

Changing to Spherical Coordinates

[tex]b \leq \rho \leq a, 0 \leq \theta \leq 2 \pi, 0 \leq \phi \leq \pi[/tex]

[tex]\therefore x^2 + y^2 + z^2 = \rho^2; dx dy dz = \rho^2 sin \phi .d\phi .d\theta. d\rho[/tex]

[tex]\implies \int\limits^a_b \int\limits^{2\pi}_{0} \int\limits^{\pi}_{0} \frac{1}{\rho^3} \rho^2 sin \phi .d\phi .d\theta. d\rho[/tex]

[tex]=\int\limits^a_b {\frac{1}{\rho}} \, d\rho \int\limits^0_{2\pi} d\theta \int\limits^{\pi}_0 \sin{\phi} \, d\phi[/tex]

[tex]= [ln \rho]^{a}_{b} [\theta]^{2\pi}_{0} [-\cos \phi]^{\pi}_{0}[/tex]

[tex]= [\ln a - \ln b] \times [2\pi] \times [- \cos \pi - (-\cos 0)][/tex]

[tex]= 2\pi \times 2 \times (\ln a - \ln b)[/tex]

[tex]= 4 \pi \, \ln{\frac{a}{b}}[/tex]

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Answer:

593

Step-by-step explanation:

sana makatulong hindi ko sure

The Question is based on the concept of Linear Equations and its answer will vary as the values of x and y varies

What is Linear Equations?

A linear equation is an algebraic equation in which the unknown variable is represented by a linear combination of terms and constants. It is a mathematical expression that can be written in the form ax + b = c, where a, b, and c are constants, and x is an unknown variable. Linear equations can be used to describe and solve a variety of real-world problems, such as finding the cost of a product or the distance between two points. Linear equations are also used in the fields of calculus, geometry, and physics.

Here we will just take value of x = 1 and y = 2 to show how this works
putting these values in all 6 Linear Equations we will get that
2x+y = 2(1)+2= 2+2 = 4
similarly in other 5 Question.
3x+2y = 7
3y + 2x = 8
10x + 4y + 2x = 10 + 8 + 2 = 20
6y + 5x = 12 + 5 = 17
7x + 4y = 7 + 8 = 15

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Forecast Absolute is (d-1)

What is Forecast Absolute?

Absolute value refers to the fact that even a negative gap between the actual and anticipated demand turns positive. 25 divided by 4 equals 6.25, so. Since the demand error is not proportional, the MAD computation performs best when applied to a single product.

1026.62 25.62

990.38 138.62

954.15 113.15

917.91 126.09

881.67 130.33

845.44 142.44

809.20 127.20

772.97 60.97

736.73 90.73

700.49 14.49

664.26 244.74

628.02 159.02

591.78 25.78

555.55 67.55

519.31 168.69

483.07 191.93

446.84 143.84

410.60 29.60

(d-2) 111.15

(d-3) y = 1062.86 + (-36.24)*x

(e) decrease by 36.24

(f)

374.37

338.13

301.89

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In linear equation, 4,600 mph is the rate of change.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

The satellite Space Explorer flies 82800 miles.

time = 18 hours

= 82800/18

= 4,600 mph.

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The value of f(x) =sin²x if 0≤x≤[tex]\frac{3\pi }{4}[/tex] using the Riemann sum is 0

By definition, the Riemann sum is a certain kind of approximation of an integral by a finite sum.

The given function is:

f(x) =sin²x if 0≤x≤3x/4

From the function, there are three sub intervals. The intervals include

n=3

a=0

b=[tex]\frac{3\pi }{4}[/tex]

The Riemann sum state that [tex]\frac{(b-a)}{n} =\frac{\pi }{4}[/tex]

C₁=[tex]\pi[/tex]/4

c₂=[tex]\pi[/tex]/2

C₃=[tex]\frac{3\pi }{4}[/tex]

The Riemann sum=[( [tex]3\pi[/tex]/4)-0]/3 = [tex]\pi[/tex]/4

When evaluated gives 12π=12π

Evaluate the function to get f(x)=0

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Answer:

option b .....is answer

a. The percentage of students in the reference population scored above 775 is of: 16%.

b. The middle 95% of scores were between 400 and 900.

c. Approximately 160 students scored below 525.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

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

The mean and the standard deviation in this problem are given as follows:

[tex]\mu = 650, \sigma = 125[/tex]

Then the proportion of students who scored above 775 is one subtracted by the p-value of Z when X = 775, hence:

Z = (775 - 650)/125

Z = 1.

Z = 1 has a p-value of 0.84.

1 - 0.84 = 0.16, hence the percentage is of:

0.16 x 100% = 16%.

By the Empirical Rule, the middle 95% of scores are within 2 standard deviations of the mean, hence:

The proportion of students who scored below 525 is the p-value of Z when X = 525, hence:

Z = (525 - 650)/125

Z = -1.

Z = -1 has a p-value of 0.16.

Then the amount out of 1000 students is of:

0.16 x 1000 = 160 students.

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Answer:

No solution.

Step-by-step explanation:

The question is asking how many solutions this has. For example:

1+2=x

x would be 3 and can only be 3, so this would have only one solution

Another example:

x>1

This is stating that x is greater than 1, which can be 2,3,4,5,etc. It goes infinitely long, which means It has infinite solutions.

One example of an equation having no solutions is:

x>3

x<1

This is stating that x is greater than 3, and that it's less than 1, which is impossible, aka no solution.

Process in image.

The ratio of sand to cement is 1:4, which means that for every 4 units of cement, there are 1 unit of sand. If we let x represent the number of bags of cement, then the number of bags of sand is 4x.

We are given that there are 100 bags of sand, so we can set up the equation:

4x = 100

x = 100 / 4

x = 25

Therefore, 25 bags of cement are needed to mix with 100 bags of sand.

Hope this helps

Answer:

$11.5876 (please give brainiest)

Step-by-step explanation:

9.82x1.18=11.5876

Answer:

yes

Step-by-step explanation:

im assuming the "x" is multiplication so 16 x y is 16y

Answer: x=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 4

The vertex of a parabola is the point on the graph where the parabola reaches its highest or lowest point. In the case of a quadratic function, the vertex is always of the form (h, k), where h is the x-coordinate of the vertex and k is the y-coordinate of the vertex.

The function g(x) = f(-x) - 2 can be obtained from the function f(x) by replacing all instances of x with -x and then subtracting 2 from the result. This transformation will flip the parabola over the y-axis and shift it down by 2 units.

The vertex of the parabola resulting from the function g(x) will be the point where the parabola reaches its highest or lowest point after this transformation. Since the parabola is flipped over the y-axis and shifted down by 2 units, the vertex of the resulting parabola will have the same x-coordinate as the original vertex (-6) and a y-coordinate that is 2 units lower than the original y-coordinate (5 - 2 = 3).

Therefore, the vertex of the function g(x) = f(-x) - 2 is (-6, 3).

welcome to this website

I hope this helps

Answer:

57

Step-by-step explanation: mental math.

The correct interpretation of the p-value of the hypothesis is given as follows:

If 15% of teenagers get 8 to 10 hours of sleep each school night, there is a 35% probability that the sample proportion would be 0.19 or more different by chance alone.

At the null hypothesis, it is tested if the proportion is of 15%, that is:

H0: p = 0.15.

At the alternative hypothesis, it is tested if the proportion is different of 15%, that is:

H1: p ≠ 0.15.

We have a two-tailed test, as we are testing if the proportion is different of a value, meaning that the p-value gives the probability of the sample proportion differing by 0.15 at least by the proportion that it differed.

The p-value of this test is given as follows:

0.35.

Hence the first option is correct.

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The statements that are true for a translation are:
The distances between points on the polygon are preserved by the transformation.
The distance between corresponding points in the image and pre-image is constant.
These statements are true for a translation because when an object is translated, it is shifted a certain distance in a certain direction. This means that the distances between points on the polygon remain the same and the distance between the corresponding points in the image and pre-image is constant.

Translation is the process of converting written, spoken, or visual information from one language into another. It is a complex process involving both linguistic knowledge and cultural understanding. Professional translators use a range of techniques to accurately convey the meaning of a text, including knowledge of grammar, syntax, and idiomatic expressions. Translators also take into account the cultural context of the text, ensuring that the translation reflects the same cultural references and nuances as the original. Translation can also refer to the conversion of DNA sequences from one form to another, such as from RNA to protein.

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Answer: C. no solution

Step-by-step explanation:

4x+y=5        (1)

8x+2y=-6     (2)

Multiply both parts of the equation (1) by 2:

8x+2y=10

8x+2y=-6

The left-hand sides of the system of equations are equal to each other,

and the right-hand sides of the system of equations are not equal

to each other, hence, the system of equations has no solution

Answer:

Step-by-step explanation:

The second Yards box is:

3.33 repeating

The third Feet box is:

15

The fourth Feet box is:

21

Answer:

2 dollars 50 cents

Step-by-step explanation:

3 boxes = 6 dollars

1 box = 2 dollars

100 - 20 = 80

2 dollars = 80 percent

50 cents = 20 percent

2 dollars 50 cents = 100 percent

For the typical glass thickness of 3.12 mm, the 95% two-sided confidence interval will be (3.067,3.173).

An area created using fixed-size samples of data from a population (sample space) that follows a particular probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers.

Here,

mean x=3.12 mm

Standard deviation s=0.14 mm

number of sample n=21

two-sided confidence interval,

=x±tₐ÷₂(s/√n)

a=1-0.95

a=0.05

t₀.₀₅,₂₀=1.725

=3.12±1.725*(0.14/√21)

=3.12±1.725*(0.14/4.58)

=3.12±1.725*0.0306

=3.12±0.053

=(3.067,3.173)

The 95% two-sided confidence interval for the mean glass thickness of 3.12 mm will be (3.067,3.173).

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For x=9 movies, the costs of A and B are equal and the equation in terms of A is A=22+2x.

When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. For instance, an equation in French is described as having one or more variables, whereas in English, an equation is any properly written formula that consists of two expressions linked by the equals sign.

Determine which values of the variables result in the equality to be true in order to solve an equation with variables.

For plan A, cost is $22 and $2 per movie then, for x movies

A=22+2x

For plan B, cost $13 and $3 per movie then, for x movies

B=13+3x

The costs of A and B equal then,

22+2x=13+3x

x=9

For x=9 movies, the costs of A and B are equal  and the equation in terns of A is A=22+2x.

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The simplified exponential expression for this problem is given as follows:

6x^4y.

The exponential expression in this problem is defined as follows:

2x² multiplied by 3yx².

The first step to simplify the expression is multiply the numeric coefficients, as follows:

2 x 3 = 6.

Then:

2x² multiplied by 3yx² = 6x²yx².

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, hence:

x²x² = x^(2 + 2) = x^4.

Thus the simplified exponential expression is presented as follows:

6x^4y.

As the variable y is elevated to exponent y and not multiplied, while there were two exponential terms with the variable x, which is why it was multiplied.

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The approximate volume of Spaceship Earth is given as follows:

D. 2,350.878.75 cubic feet.

We are given the circumference of Spaceship Earth, hence we can use it to obtain it's radius.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

At it's center, the Spaceship Earth is a circle, hence it's radius is calculated as follows, from it's circumference:

2πr = 518.1

r = 518.1/2π

r = 82.86 feet.

Now we consider that the entire Spaceship Earth has an spherical format, hence it's volume is given as follows:

V = (4/3)πr³.

Hence the volume in cubic inches is calculated as follows:

V = (4/3)π(82.86)³

V = 2,382,996.45 cubic feet.

Which is closest to option D.

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The amount of money that Ian would need to invest to be able to make up to $108,000 in 6 years with an interest rate of 5% compounded continuously would be = $80,000

Interest rate is the rate at which an individual receives a particular amount of money due to an investment made over a period of time.

The current value of account(A) = $108,000

The number of years for investment (t)= 6 years.

The interest rate(r)= 5% = 0.05 (in decimal).

Using the formula, A = Pe^rt

108,000 = P e ^ 0.05× 6

108,000 = Pe^0.3

108,000 = P × 1.3499

P = 108,000/1.3499

P = $80,000 ( approximated to the nearest whole number)

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