this zigzag crystal vase has a height of 10 inches. The cross sections parallel to the base are always rectangles that are 6 inches by 3 inches long.

If we assume the crystal itself has no thickness, what would be the volume of the vase? ​NO LINKS!!!

9514 1404 393

Answer:

Step-by-step explanation:

The properties of equality say the value of the variable does not change if the same function is performed on both sides of the equal sign.

a) 4x +7 = 19   ⇒   4x = 12

The value -7 was added to both sides. Equivalently, 7 was subtracted from both sides. The Subtraction Property of Equality was used.

__

b) 2x/3 = 8   ⇒   2x = 24

Both sides were multiplied by 3. The Multiplication Property of Equality was used.

__

c) 5x -6 +2x = 22   ⇒   7x -6 = 22

Terms 5x and 2x were combined and written as 7x. We call this Combine Like Terms.

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

DEF is similar to CBA

because angle

angle C = angle D

angle B = angle E

angle A = angle F

The ratio is

10.8/5.4 = 9/4.5 = 6.4/3.2 = 2

Answer: 7.2$

hope it helps :)

step-by-step explanation:

Cost of each box = 3$

Cost of 3 boxes without 20% coupon = 9$

With 20% off Coupon = 9 by 100 multiplied by 20

                                     (the zero's cut with each other leaving)

                                     = 9 by 10 multiplied by 2

                                     (9 multiplied by 2 = 18)

                                     = 18 by 10

                                     (18 divided by 10 = 1.8)

                                     = the 20% of 9$ is equal to 1.8

                                        when subtracted with the total cost leaves 7.2$

Answer:

b

Step-by-step explanation:

Answer:

d = √85

Step-by-step explanation:

d^2 = (X2 - X1)^2 + (Y2 - Y1)^2

= (2 - 0)^2 + (6 + 3)^2

= 4 + 81

d = √85

Answer:

x=3 and x=-2 is the root of given eq

Answer:

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.?

x = –2 or x = 3 is the answer

Step-by-step explanation:

Answer:

1/720 = 0.0014 = 0.14% probability he dials the correct telephone number on the first try.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order of the digits is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Desired outcomes:

One correct number, so [tex]D = 1[/tex]

Total outcomes:

3 non-repeated digits, so permutations of 3 digits from a set of 10(all digits). So

[tex]T = P_{10,3} = \frac{10!}{7!} = 10*9*8 = 720[/tex]

What is the probability he dials the correct telephone number on the first try?

[tex]p = \frac{D}{T} = \frac{1}{720} = 0.0014[/tex]

1/720 = 0.0014 = 0.14% probability he dials the correct telephone number on the first try.

Answer:

21.161

Step-by-step explanation:

use Pythagoras theorem ti find your slant height

then you use your formula which

[tex]1 \3\pi {r }^{2} h[/tex]

Answer:

11%

I think im sorry if im wrong

Step-by-step explanation:

Answer:

The actual temperature is: -6.92

Step-by-step explanation:

Given

[tex]y = -26 + 1.3x[/tex]

Required

Find x when [tex]y = -35[/tex]

Substitute [tex]y = -35[/tex] in [tex]y = -26 + 1.3x[/tex]

[tex]-35 = -26 + 1.3x[/tex]

Collect like terms

[tex]1.3x = 26 - 35[/tex]

[tex]1.3x = -9[/tex]

Solve for x

[tex]x =-9/1.3[/tex]

[tex]x =-6.92[/tex]

Answer:

Odd function

Step-by-step explanation:

....

Answer:

B. 40 oz.

Step-by-step explanation:

Answer:

The probability of getting a letter which is not E is 13/15.

Step-by-step explanation:

DANIEL BERNOULLI

The total number of elements in sample space = 15

The probability of getting letter E is

= 2/15

The probability of getting a letter which is not E is

[tex]1 - \frac{2}{15}\\\\\frac{13}{15}[/tex]

Answer:

3. sin(43) = a/17

a = 17sin(43)

= 11.594

≈ 11.6

4. sin(35) = 6/b

b · sin(35) = 6

b = 6/sin(35)

= 10.46

Answer:

The correct option is (A).

Step-by-step explanation:

The given expression is :

[tex]\dfrac{14x^4y^6}{7x^8y^2}[/tex]

The numerator contains 14x⁴y⁶ and the denominator is 7x⁸y².

We can write it as :

[tex]\dfrac{14x^4y^6}{7x^8y^2}=\dfrac{7\times 2\times x^4\times y^2\times y^4}{7x^4\times x^4\times y^2}[/tex]

Canceling the common terms,

[tex]=\dfrac{2y^4}{x^4}[/tex]

So, the correct option is (A).

Answer:

b sum

Step-by-step explanation:

Answer:

Unobserved effect.

Step-by-step explanation:

The unobserved effect of heterogeneity is correlated with the observed explanatory variables. Population heterogeneity is bias in unobserved pre treatment factors which affect the outcome even without treatment.

Answer to your question is B. f(x)= 1/(x+4)^2

The equation of the rational function is f(x) = 1/(x + 4)^2

From the figure, we have the following property:

Vertical asymptote at;

x = -4

Add 4 to both sides

x + 4 = 0

Square both sides

(x + 4)^2 = 0

The above means that the denominator of the equation of the graph is (x + 4)^2

So, we have:

f(x) = 1/(x + 4)^2

Hence, the equation of the rational function is f(x) = 1/(x + 4)^2

Read more about rational function at:

https://brainly.com/question/1851758

#SPJ6

Answer:

(30-2)*180 calculate and get ur answer

Answer:

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction.

Answer:

87/100

Step-by-step explanation:

Answer:

(-4) ^6

Step-by-step explanation:

(-4)*(-4)*(-4)*(-4)*(-4)*(-4)

There are six (-4)'s multiplied together

(-4) is the base and 6 is the exponent

(-4) ^6

Answer:

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

Also

The order in which the food and drinks are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Beverages:

3 from a set of 15. So

[tex]B = C_{15,3} = \frac{15!}{3!12!} = 455[/tex]

Appetizers:

3 from a set of 10. So

[tex]A = C_{10,3} = \frac{10!}{3!7!} = 120[/tex]

Desserts:

3 from a set of 13. So

[tex]D = C_{13,3} = \frac{13!}{3!10!} = 286[/tex]

How many different ways can Luisa pick the food and drinks to serve at the bridal shower?

By the fundamental counting principle, as beverages, appetizers and desserts are independent:

[tex]T = B*A*D = 455*120*286 = 15,615,600[/tex]

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

Step-by-step explanation:

hey :) if you need help download algebrator. I use it ALL the time pls download it and try it out. it'll give you explanations

Answer:

a) x = 7/2

b) x = 4/3

c) x = 1/2

d) x = 13/7

Step-by-step explanation:

(this is the same process for every one of them. I did C for you)

Let's solve your equation step-by-step.

6x=3

Step 1: Divide both sides by 6.

6x/6 = 3/6

x=1/2

Answer:

10.7

Step-by-step explanation:

17.445 - 6.76= 10.685

10.685 is 10.7 when rounded to the nearest tenth!

Answer:1 real solution

Step-by-step explanation:

Answer:

B. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3.

Answer:

1. False

2. True

3. False

Step-by-step explanation:

Answer:

Where are the graphs?

Step-by-step explanation: