In the diagram at right, DE is a midsegment of triangle ABC. If the area of triangle ABC is 96 square units, what is the area of triangle ADE? Explain how you know.​

A recipe calls for ¾ cups of molasses. If you triple the recipe, 9/4 cups of molasses would be needed

An equation is an expression that shows the relationship between two or more numbers and variables.

A recipe calls for ¾ cups of molasses. If you triple the recipe, the molasses is:

Amount of molasses needed = 3 * (3/4) cup = 9/4 cups

A recipe calls for ¾ cups of molasses. If you triple the recipe, 9/4 cups of molasses would be needed

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Answer:

touches

crosses

Step-by-step explanation:

[tex]x=a[/tex] is said to be a zero of a function [tex]f(x)[/tex] if [tex]f(a)=0[/tex]

A zero say [tex]x=a[/tex] has a "multiplicity" equal to [tex]n[/tex], if the factor [tex](x-a)^n[/tex] appears in the polynomial.

When a real zero [tex]x=a[/tex] of a polynomial function [tex]f[/tex] is of even multiplicity, the graph of [tex]f[/tex] touches the x-axis at [tex]x=a[/tex], and when it is of odd multiplicity, the

graph of [tex]f[/tex] crosses the x-axis at [tex]x=a[/tex].

Answer:

5832

Step-by-step explanation:

18 × 18 = 324

324 × 18 = 5832

Answer:

7/16 of the shoes were either sandals or clogs.

Step-by-step explanation:

Find a CD, which is 16.

Because we multiplied the denominator, we multiply the numerator as well.

3/8 becomes 6/16.

Now, because both of the denominators are the same, we are free to add both of the fractions together.

6/16 + 1/16 = 7/16.

Because this fraction isn't reducible, the answer will be 7/16.

Answer:

Any number that is greater than 10

Step-by-step explanation:

Tammy is wanting to run more than 28 miles. Having already ran 18, she has to run 10 more to even reach 28 miles in total. She wants to run MORE than 28 so the number of miles she has yet to run in possibility is any number that is GREATER than 10.

ex: 11, 12,13, 14.....

f(x) = |7m + 4| = 1

First equation by taking positive modules

7m + 4 = 1

7m = -3

m = -3/7 . Ans.

Second equation by taking negative modules

-7m - 4 = 1

-7m = 5

m = -5/7 . Ans.

∴ m = [ -5/7 U -3/7 ] Ans .

Answer:

0.0000000006

Step-by-step explanation:

6* 10^-10= 0.0000000006

basically think of it as moving the decimal back 10 times.

Answer:

b

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

answer is -2

Step-by-step explanation:

5+3=8

8-10= -2

Answer: they are complementary but not necessarily congruent

Step-by-step explanation:

Answer:

5/4

Step-by-step explanation:

6 1/4 is equal to 25/4 and if you do 5 times 5/4 you get 25/4 which is 6 1/4

Answer:

5/4

Step-by-step explanation:

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

[tex]a_{n} = a_0 + (n-1)d[/tex]

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

[tex]S_{n} = \frac{n(a_1+a_n)}{2}[/tex]

ai = ai-1 + 6

This means that [tex]d = 6[/tex]

In this question:

Sum of the first 800 terms, so [tex]n = 800[/tex]

First term is -53, so [tex]a_1 = -53[/tex]

The 880th term is:

[tex]a_{880} = -53 + (880-1)*6 = 5221[/tex]

Sum

[tex]S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920[/tex]

The sum of the first 880 terms in the sequence is 2,273,920.

Answer:

I'm confused as to what your asking?

Answer:

y= 2x +1

Step-by-step explanation:

slope 9-7/4-3 = 2/1= 2

y-7 = 2(x -3)

y-7 = 2x -6

y = 2x +1

Answer:

-9b+2n-4+2b

-7b+2n-4 is your answer

Answer:

315.5cubic in

10.4 x 4.5 x 6.5=

Step-by-step explanation:

Answer:

$38.75

Step-by-step explanation:

$465/12=$38.75

The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3

To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:

Since for all x > 0, we have:

Thus, by the limit comparison test:

converges if and only if converges.

We can evaluate  using the power rule of integration:

where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:

∫(1/x^4) dx from 1 to infinity = lim as b → infinity

=>

=> 0 - (-1/3)

=> 1/3

Since the integral  dx converges by comparison to a convergent integral, and its value is 1/3.

To learn more about  Convergent integral :

Note: The full question is

Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1

Answer:

252

Step-by-step explanation:

Types of main courses available = 9

Types of drinks offered = 7

Types of deserts = 4

Number of different meals consisting of a main course, a drink and a desert offered

Using the combination rule :

9C1 * 7C1 * 4C1

nCr = n! ÷ (n-r)!r!

So using calculator we obtain :

9 * 7 * 4 = 252

The answer is (sin x - 2 sin 3x cos x) / (1 - 2 cos² x). To simplify the given expression, we can use the identity sin 2x = 2sin x cos x.

Substitute the numerator with sin x - sin 3x. Substitute the denominator with sin² x - cos² x to get a common factor.

Substitute sin² x with (1 - cos² x) to get sin x - sin 3x / (1 - cos² x - cos² x).Then substitute sin² x with (1 - cos² x) to get sin x - sin 3x / (1 - 2 cos² x).

Now, use the identity sin 2x = 2sin x cos x to simplify the numerator. sin x - sin 3x can be written as sin x - sin (x + 2x) which equals sin x - [sin x cos 2x + cos x sin 2x].

Now, simplify the expression: sin x (1 - cos² x - cos² x) - sin x cos 2x - cos x sin 2x. We will simplify this expression further, leading us to get sin x (1 - 2 cos² x) - sin 2x cos x.

Finally, the expression becomes sin x (1 - 2 cos² x) - sin 2x cos x / (1 - 2 cos² x). Therefore, the answer is (sin x - 2 sin 3x cos x) / (1 - 2 cos² x).

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Answer:

the answer would be c

Step-by-step explanation:

the answer would be c because its a fraction

Answer:

[tex]t=-2.86[/tex]

Step-by-step explanation:

From the question we are told that:

Sample 1 [tex]n_1=8[/tex]

Sample 1 mean blood pressure [tex]\=x_1=89mmHg[/tex]

Sample 1 variance [tex]\sigma_1=81[/tex]

Sample 2 [tex]n_2=8[/tex]

Sample 2 mean blood pressure [tex]\=x_2=105mmHg[/tex]

Sample 2 variance [tex]\sigma_2=169[/tex]

Generally the equation for the test of statistic is mathematically given by

[tex]t=\frac{\=x_1-\=x_2}{\sqrt{\frac{\sigma_2}{n_1}+\frac{\sigma_2}{n_2} } }[/tex]

[tex]t=\frac{89-105}{\sqrt{\frac{81}{8}+\frac{169}{8} } }[/tex]

[tex]t=-2.86[/tex]

therefore the samples test for comparing the two population means

[tex]t=-2.86[/tex]

Answer:

8 nights

Step-by-step explanation:

MATH

Answer:

B

Step-by-step explanation:

Answer:

X and y are supplementary.

Step-by-step explanation:

Choose the first option:

x + y = 180 degrees is the relationship that is always true.

Answer:

249

Step-by-step explanation:

301 - 52 = 249

Answer:

1/2 + 1/4 _ 1/3 = 0.91667

Step-by-step explanation:

Answer:

B. 5(2x+5)

Step-by-step explanation:

Factor 5 out of 10x+25. and you get 5(2x+5)

Answer:

B. 5(2x + 5

Step-by-step explanation:

If you have any questions feel free to ask in the comments

Answer:

21/3 or 7/1

Step-by-step explanation:

Answer:

21/3

Step-by-step explanation:

hope this helps you

Answer:

The third wine costs $5.70 per litre

Step-by-step explanation:

so we've got 2 parts $4.50 wine, 3 parts $5 wine and 4 parts x wine. The result is $5.20 per part.

2l*$4.50/l + 3l*$5/l + 4l*x = (2l+3l+4l)*$5.20/l

$9 + $15 + 4l*x = $46.80

4l*x = $22.80

x = $5.70/l