What is the Volume of the triangular prism, in cubic centimeters?

Answer:

24/35 or 0.6857142

Step-by-step explanation:

Answer:

[tex] \frac{24}{35} [/tex]

alternative form:

[tex] 0.685714286 [/tex]

Step-by-step explanation:

[tex]1 \frac{1}{7} \times \frac{3}{5} \\ multiply \: 1 \: and \: 7 \\ \\ \frac{7 + 1}{7} \times ( \frac{3}{5} ) \\ add \: 7 \: to \: 1 \\ \\ \frac{8}{7} \times ( \frac{3}{5} ) \\ remove \: parenthesis \: and \: put \\numerator \: times \: numerator \: and \\ denominator \: times \: denominator \\ \\ \frac{8 \times 3}{7 \times 5} \\ do \: the \: multiplications \\ \\ \frac{24}{35} [/tex]

Answer:

x2+10x+24

Step-by-step explanation:

The expanded expression in standard form is: [tex]x^2 - 10x + 24[/tex]

To expand the expression (x - 4)(x - 6), you can use the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Let's do that step by step:

(x - 4)(x - 6)

Step 1: Multiply x from the first parentheses by both terms in the second parentheses:

[tex]x * x = x^2\\x * -6 = -6x[/tex]

Step 2: Multiply -4 from the first parentheses by both terms in the second parentheses:

-4 * x = -4x

-4 * -6 = 24

Now, put everything together: (x - 4)(x - 6) = [tex]x^2 - 6x - 4x + 24[/tex]

Combine like terms: [tex]x^2 - 10x + 24[/tex]

So, the expanded expression in standard form is:

[tex]x^2 - 10x + 24[/tex]

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Answer:

logx+log(x +1)= log6

Step-by-step explanation:

Please find attached photograph for your answer.

Answer:

A

Step-by-step explanation:

You don't have to do anything, the only equation with a slope of -2 is A.

Answer:

2/5*180=72

360/72=5

as simple as that you just need to read on polygons

Step-by-step explanation:

pls give me brainlyist

Answer:

He sold 7 more small boxes than large boxes

Step-by-step explanation:

Let x be the no of small boxes sold .

Cost of 1 small boxes of oranges = $5

Cost of x small boxes of oranges = 5x

Let y be the no. of large boxes sold

Cost of 1 large boxes of oranges = $9

Cost of y large boxes of oranges = 9y

He sold 17 boxes in all total for 105

So,x+y=17 ---1

So,5x+9y=105 ---2

Substitute the value of x from 1 in 2

5x+9(17-x)=105

5x+153-9x=105

153-105=4x

[tex]\frac{153-105}{4}=x[/tex]

12=x

Substitute value of x in 1

12+y=17

y=17-12

y=5

Difference in no. of boxes = 12-5 = 7

So, He sold 7 more small boxes than large boxes

Answer:

Option B

The directrix of the parabola is parallel to the axis of symmetry

Step-by-step explanation:

The directrix of the parabola is not parallel to the axis of symmetry. It is as a matter of fact, perpendicular to it.

A parabola is actually a set of points that are equidistant from a given point, the focus, and a given line the directrix.

The axis of symmetry is a line that divides the parabola into two equal halves and it always passes through the focus.

The directrix of the parabola is always perpendicular to this axis of symmetry as they always intersect at right angles.

We want to see which one of the given statements is false. We will see that the false one is B: "The directrix of the parabola is parallel to the axis of symmetry"

So in a parabola, we define the axis of symmetry as the vertical line that divides the parabola in two equal parts.

For a general parabola:

y = a*x^2 + b*x + c

The line of symmetry is at:

x = -b/2a

While we know that in a parabola the directrix is a horizontal line.

So the axis of symmetry and the directrix are perpendicular lines.

Then the statement that is false is B: "The directrix of the parabola is parallel to the axis of symmetry"

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Answer:

She earns 5.5 dollars per hour at the library

Step-by-step explanation:

I am going to assume that the questions is "how much she earns per hour at the library?"

Let's call x the amount of dollars earn by hour at the library. We know that she worked for 6 hours, thus she made 6x dollars.

Later her grandma gave her 20 dollars and she has now 53 dollars.

Let's write the equation and solve it

Amount earned + Amount given by her grandma = 53

[tex]6x+20=53\\6x=33\\x=\frac{33}{6}\\x=5.5[/tex]

Thus, based on this information we would have that Kia earns 5.5 dollars per hour.

Answer:

Engineers use the Pythagorean Theorem to figure out measurements of objects.

Answer:

90

Step-by-step explanation:

Answer:

must not be

Step-by-step explanation:

The whole thing equals 360 degrees

Angle B and Angle D are equal; which equals 190 degrees.

Add Angle A to 190 degrees; which is 86 + 190 = 276.

Subtract 360, which is what the whole thing equals, and 276, which is the known angle added together, and you get 56.

In order for this to be a parallelogram, the opposite angles need to be equal.

Since they are not, the answer is must not be.

Step-by-step explanation:

(5x+2y=6)2

10x+4y=12

10x+4y=12 then substract

10x+4y=12

0=0 true so, it have infinite s/n

Answer:

Each parrot Bird ate 1/8 of a bag

Step-by-step explanation:

Here, we are interested in calculating the portion of the bag eaten by each of the pet birds

Firstly, we know he put 1/2 in the feeder, the amount not put in the feeder = 1-1/2 = 1/2 bag

Now this 1/2 bag was shared amongst 4 parrot birds, amount eaten by each of the parrot birds = 1/2 divided by 4 = 1/8 of the bag

Answer:

the answer is 0

Step-by-step explanation:

she had -27 in her bank the she added  27

Answer:

Explanation:

Plato

Answer:

The answer is A

Step-by-step explanation:

Option B. is correct

Polynomial equation are equation of number independent variables having relationship with dependent variable.

Since,
A monomial can have higher exponents so its exponents has probability to get divisible by 3 so when cube root for monomial performed.  
for example [tex]\sqrt[3]{x^3}[/tex] = x

Thus, Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.

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Answer:

option B

Step-by-step explanation:

edge 2023

Answer:

128

Step-by-step explanation:

128 is the right

peanut butter

Answer: -70

Step-by-step explanation: hope I helped

V

=

4

3

π

r

3

=

4

3

·

π

·

6

3

≈

904.77863

Answer:

9

Step-by-step explanation:



Answer:

9 hours per night

Step-by-step explanation:

Assuming a week is 7 days

7 * 12 = 14 days

126/14=9

She slept 9 hours per night

a) Because each pick is independent (we pick and then replace), we just have to find the probability of picking it out once, then cube that. This probability is 4/(3+3+4)=2/5. So, it is 8/125.

b) If we replace it, then we can do it in a strategic way:

The probability of picking it out the first time is 2/5. Now, there are 3 button downs and 9 shirts total.

The second time: 3/9=1/3

Now there are 2 and 8

Third time: 2/8=1/4.

The final probability is 2/5*1/3*1/4=1/30

Answer:

Step-by-step explanation:

x three point shots: 8*3=24

x two point shots: 2*2=4

The point would Anthony score is : 24+4=28

I hope it'll help you much

Thank you for asking

Answer:

Area of parallelogram A = base x height = 2 x 1 = 2 (in2)

Hope this helps

:)

Answer:

Step-by-step explanation:

hello : here is an solution

The equation of the line in point-slope form is y - 6 = -7(x+9)

The equation of a line in point-slope form is expressed as:

y-y0 = m(x-x0)

m is the slope of the line

(x0, y0) is any point on the line

Given the coordinate points (-9, 6) and (-7, -8)

Get the slope of the line:

slope = -8-6/-7+9

Slope = -14/2

Slope = -7

Using the point (-9, 6), the required slope is expressed as:

y - 6 = -7(x-(-9))

y - 6 = -7(x+9)

Hence the equation of the line in point-slope form is y - 6 = -7(x+9)

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Answer:

48.048

Step-by-step explanation:

multiply 77 time 0.60 since 60%in decimal form is 0.60. you then get the answer of that(46.2) and mutiply 0.04 since that the decimal form for 4%. you get 1.848 and add it to 46.2 and get the final answer 48.048. Hope this helped you

Answer:

Value: 10

Step-by-step explanation:

1. Let us first write down the expression, changing it a bit to our convenience: 2(x - 3) + 2x - 4

2. Substitute this value of x into the expression as such:

2(5 - 3) + 2(5) - 4

3. Now we can approach this first part of the problem in two ways:

Option 1. distribute the 2 to the 5 and then the -3, in 2(5 - 3)

Option 2. subtract 3 from 5, then multiply 2 by that value

4. Given such, let us try the 2nd option for simplicity, and carry on with our calculations: 2(2) + 2(5) - 4

5. Now apply algebra and solve this expression:

2(2) + 2(5) - 4 = 4 + 10 - 4 = 14 - 4 = 10

Answer:

x = 2

y = - 1

Step-by-step explanation:

Please see the step by step solution in the picture attached below.

Hope it can help you. Have a nice day!