Question 1 of 17
Find the volume of the conical paper cup
3 cm
8 cm
OA Bп cm
ОВ. 72 л cm
С. 64 л cm
OD. 24 л cm3
ILL GIVE BRAINLIST:)

Answer:

2 and 3

Step-by-step explanation:

the x-intercept is 2

the y-intercept is 3

Jordan's average rate over the last 2 hours of her trip is 9 miles/hour.

To find Jordan's average rate over the last 2 hours of her trip,

we need to calculate the distance she traveled during that time period.

We know that Jordan was initially 20 miles away from her house and after 4 hours, she was 38 miles away. Therefore, she traveled a distance of 38 miles - 20 miles = 18 miles in the first 4 hours.

To find her average rate over the last 2 hours, we divide the distance traveled in those 2 hours by the time taken. The distance traveled in the last 2 hours is 18 miles (since she traveled 18 miles in the first 4 hours), and the time taken is 2 hours.

Average rate = Distance / Time

Average rate = 18 miles / 2 hours

Average rate = 9 miles per hour

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Answer:

D) 6^5 · 3^5

Step-by-step explanation:

(6 · 3)^5 = 1889568

A) WRONG

(5 · (6 · 3)) = 90

B) WRONG

9^5 = 59049

C) WRONG

6 · 3^5 = 1458

D) CORRECT

6^5 · 3^5 = 1889568

Answer:

4:3 and 4 to 3

Step-by-step explanation:

sorry if I'm wrong

Answer:

2.33 yards

Step-by-step explanation:

3 1/2-3.5

2/3-0.66

0.66 x 3.5 = n

Answer:

1) 3rd one down   1  7/12 ( the one you've selected well doneee)

2)pretty sure its also the 3rd one down ( don't come for me if its wrong)

Step-by-step explanation:

4 1/6 = 25/6

5  3/4= 23/4

25/6   x4=    100/24

23/4  x 6 = 138/24

138/24  - 100/24  = 38/24

divide by 2:

19/12= 1   7/12

588 because that's the surface area minus the lide

The matrix exponential eAt can be expressed as:

eAt = (5/4)*e^(3t/2) * [1 3/5; 2/5 1]

Sketching the phase plane, we can see that it represents a spiral source. The solution X(t) satisfying X(0) = [-2] can be found by substituting

t=0 and X(0) = [-2] in the general solution as follows:

X(t) = e^(3t/2) * [1 3/5; 2/5 1] * [-2]X(t) = [-2e^(3t/2)*(3/5) + 2e^(3t/2); -4e^(3t/2)/5 + 2e^(3t/2)]

Hence, the solution X(t) satisfying

X(0) = [-2] is X(t) = [-2e^(3t/2)*(3/5) + 2e^(3t/2); -4e^(3t/2)/5 + 2e^(3t/2)].

Given system of differential equation is

X'

= AX, where [2 - A

= 3 2

We need to find the general solution, sketch the phase plane and determine its type.The general solution is given by: X(t)

= eAt X(0)

Where eAt is the matrix exponential. Since A is a 2x2 matrix, we can find eAt by using the formula:

eAt

= (I + tA + (t^2/2!)A^2 + (t^3/3!)A^3 + ....)

The matrix exponential eAt can be expressed as:

eAt

= (5/4)*e^(3t/2) * [1 3/5; 2/5 1]

Sketching the phase plane, we can see that it represents a spiral source. The solution

X(t) satisfying X(0)

= [-2]

can be found by substituting t

=0 and X(0)

= [-2] in the general solution as follows:

X(t)

= e^(3t/2) * [1 3/5; 2/5 1] * [-2]X(t)

= [-2e^(3t/2)*(3/5) + 2e^(3t/2); -4e^(3t/2)/5 + 2e^(3t/2)]

Hence, the solution X(t) satisfying

X(0)

= [-2] is X(t)

= [-2e^(3t/2)*(3/5) + 2e^(3t/2); -4e^(3t/2)/5 + 2e^(3t/2)].

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The value of the quadratic equation is x = -4 or 2

a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers, provide that a is not 0.

quadratic equation is written in the form ax²+bx+c= 0

quadratic equation can be solved using factorization

-x²-2x+8=0

multiplying all sides by -1

x²+2x+8=0

by factorization,

x²+4x-2x+8= 0

group into two

(x²+4x)(-2x+8)= 0

x(x+4)-2(x+4) = 0

therefore x-2=0 or x+4=0

x=2 or x =-4

Therefore the value of x in equation −x2 − 2x + 8 = 0 is x= 2 or -4

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Answer:

difference in volume = 26.96h cm³

Step-by-step explanation:

The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,

volume of a trapezoid prism = area of a trapezium × height

area of the base(trapezoid) = 140 cm²

Volume = 140h

Volume of a cylinder = πr²h

where

r = radius

h = height

volume = πr²h

volume = π × 6² × h

volume = 3.14 × 36 × h

volume = 113.04h

To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.

Recall the height are the same

difference in volume = 140h - 113.04h

difference in volume = 26.96h cm³

Answer:

13/4

Step-by-step explanation:

\(f(x) = \frac{7x - 22}{4} \)

\(f(5) = \frac{7(5) - 22}{4} = \frac{35 - 22}{4} = \frac{13}{4} \)

There are two stiff transforms to use:

The fact that the real domain is the domain of quadratic functions makes it possible to identify the solution set.

Thus, we must decide which rigid transformations to apply to f(x) in order to produce g(x). Rigid transformations are transformations applied to geometric loci in the field of Euclidean geometry so that Euclidean distances within the latter are conserved (x).

Following thorough consideration, we come to the conclusion that the two stiff transformations listed below must be used:

Vertical translation 7 units to the plus side.

reflection along the y = 5 line.

The collection of x-values necessary for the function to exist is represented by the solution set.  Due to the fact that both functions are quadratic equations, the entire real domain is described by their solutions.

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Therefore , the solution of the given problem of average comes out to be the average price of a pizza in 2000 was about $9 (or half of $18).

An organised collection's median value is the precise value that makes up the collection's mean. In this case, the ratio between the lowest and highest 50% of the data is a normal but rather probability measure. When finding the middle and mode, a variety of algorithms can be applied in order to identify any unusual or even amounts of values.

Here,

By dividing 72 by the interest rate, we can calculate how many years it will take an investment to double in value at a specific interest rate. This is known as the law of 72. In this instance

With an inflation rate of 3.25 percent, it takes roughly how many years for the price of a pizza to double as a result of inflation:

72 / 3.25 = 22.15 years

In light of this, we can calculate that a pizza cost $9 (half of $18) roughly 22 years ago, which corresponds to the following year:

2022 - 22 ≈ 2000

As a result of inflation running at an average of 3.25% for many years, the average price of a pizza in 2000 was about $9 (or half of $18).

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Answer:

(x4+1)(x2-2)

Step-by-step explanation:

x6-2x4+x2-2

separate them into two different expressions

(x6-2x4)+(x2-2)

factor out the common factor for each expression. For (x6-2x4), it would be x4, and for (x2-2), it would just be 1

x4(x2-2)+1(x2-2)

since there both expressions have the same factor, you can do a reverse of the distribution property and factor it like

(x4+1)(x2-2)

Answer:

(x4+1)(x2-2)

Step-by-step explanation:

By using the formula for the slope of a line that passes through two points, we will get that the slopes are:

a)  3

b)  -2

c) -1.5

d)  -4

e) 1/4

For a line that passes through two points (x₁, y₁) and (x₂, y₂), the slope is given by the formula:

a = (y₂ - y₁)/(x₂ - x₁)

So we will use that for each of the given pairs.

a) The first pair is (3, 2) and (5, 8), so the slope is:

a = (8 - 2)/(5 - 3) = 6/2 = 3

b) The pair is: (-2, -7) and (-4, -3), so the slope is:

a = (-3 + 7)/(-4 + 2) = 4/-2 = -2

c) The pair is (1, -6) and (-2, -4) so the slope is:

a = (-4 + 6)/(-2 - 1) = 2/-3 = -3/2 = -1.5

d)  The pair is (4, -8) and (-2, 16) so the slope is:

a = (16 + 8)/(-2 - 4) = 24/-6 = -4

e) The pair is (-5, 10) and (7, 13) so the slope is:

a = (13 - 10)/(7 + 5) = 3/12 = 1/4

We found all the slopes for the lines that pass through the given pairs of numbers.

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Answer:

scalene

Step-by-step explanation:

you can tell by the shape

The number line that shows the number of miles where A is less expensive has a solution of x > 60

From the question, we have the following parameters that can be used in our computation:

Option    Daily Cost ($) Cost per mile ($)

   A               25                   0.15  

   B                10                    0.40

So, the cost functions are

A = 25 + 0.15x

B = 10 + 0.4x

Where x is the number of miles

When A is less expensive, we have

25 + 0.15x < 10 + 0.4x

Evaluate the like terms

15 < 0.25x

So, we have

0.25x > 15

Divide

x > 15/0.25

Evaluate

x > 60

Hence, the number line is (a)

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The integer fraction of the expression 14x⁻², for x = 7 is 2 / 7.

The expression is expressed as follows:

14x⁻², for x = 7

This simply implies we have to simplify the expression when x = 7.

Therefore, we have to substitute the value of x in the expression. The value of x is 7.

Hence,

using indices law,

x⁻¹ = 1 / x

Therefore,

14x⁻² = 14 / x²

Hence,

14 / x² = 14 / 7²

14 / 7² = 14 / 49

14 / 49 ÷ 7 / 7 = 2 / 7

Therefore, the integer fraction of the expression 14x⁻², for x = 7 is 2 / 7.

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Step-by-step explanation:

Answer:

False

Step-by-step explanation:

You can't add without first doing the terms of 2^3---(PENDAS)

Answer:

The answer is D: -y^4

Step-by-step explanation:

(-1/y^-4) = -1(y^4)/1 = -y^4

Answer:

11.25 months

Step-by-step explanation:

7000-2500

=4500

4500/400

=11.25

plz mark me as brainliest.

The value of the series is frac{11}{18}. This series converges. To see why, we can use the comparison test with the series sum_{n=1}^infty frac{1}{n^2}, which is a known convergent series.

Specifically, we have frac{1}{n(n+3)} < frac{1}{n^2} for all n >= 1, and so by comparison, the given series converges as well.
To find the value of the series, we can use partial fractions to write:
frac{1}{n(n+3)} = frac{1}{3n} - frac{1}{3(n+3)}
Then, we can split up the series into two telescoping sums:
sum_{n=1}^infty frac{1}{n(n+3)} = sum_{n=1}^infty (frac{1}{3n} - frac{1}{3(n+3)})
= (frac{1}{3(1)} - frac{1}{3(4)}) + (frac{1}{3(2)} - frac{1}{3(5)}) + (frac{1}{3(3)} - frac{1}{3(6)}) + ...
Notice that most of the terms cancel out, leaving us with just:
sum_{n=1}^infty frac{1}{n(n+3)} = frac{1}{3} (1 + frac{1}{2} + frac{1}{3})
= frac{11}{18}
Therefore, the value of the series is frac{11}{18}.

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Answer:

b

Step-by-step explanation:

3 1/2 x 3 x 1/2= 5.25 or 5 and 1/4

Answer:

B

Step-by-step explanation:

Little tip, if you don't know a question or aren't sure, pick options b or c, they are statistically the most used options.

The trigonometric expression cos 3x / (sin x · cos x) is equivalent by trigonometric formulas to the trigonometric expression csc x · cos 2x - sec x · sin 2x. (Correct choice: A)

In this problem we find the definition of a trigonometric expression, whose equivalent expression must be found by using algebra properties and trigonometric formulas. First, write the trigonometric function:

cos 3x / (sin x · cos x)

Second, use trigonometric formulas:

cos (x + 2x) / (sin x · cos x)

(cos x · cos 2x - sin x · sin 2x) / (sin x · cos x)

cos 2x / sin x - sin 2x / cos x

csc x · cos 2x - sec x · sin 2x

The equivalent trigonometric expression is csc x · cos 2x - sec x · sin 2x.

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Answer:

They can be simply multiplied by multiplication method

Step-by-step explanation:

20 × 20 = 400

50 × 50 = 2500

Answer:

50x50= 2500   20x20=400

Step-by-step explanation:

hope this helps (:

Answer:

x = 15

Step-by-step explanation:

The sum of the angles in a triangle is 180º

3x + 5x + 4x = 180

Combine like terms

12x = 180

Divide both sides by 12

x = 15

C = 5x

C = 5 * 15

C = 75º