Find the value of x. A. 53–√ in B. 241−−√ in C. 55–√ in D. 9

Let's look at the corresponding ratios:

[tex]\frac{AB}{ED}=\frac{24}{30}=\frac{4}{5}\\

\frac{BC}{DC}=\frac{16}{20}=\frac{4}{5}\\

\frac{AC}{EC}=\frac{21}{28}=\frac{3}{4}\\[/tex]

And we see that the three aren't equal.

Hence, $\Delta ABC$ and $\Delta EDC$ are not similar.

Answer:

°[Option 3] => Triangle ABC and Triangle EDC are not similar

Step-by-step explanation:

The angles nor the sides are congruent in this image.

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Answer:

k=0

Step-by-step explanation:

8(4k-4)=5k-32

32k-32=-5k-32

32k-32+32=-5k-32+32

32k=-5k

32k+5k=-5k+5k

37k=0

37k/37=0/37

k=0

Answer:

k=0

Step-by-step explanation:

To solve for k, we need to first distribute the 8 through the parenthesis.

32k-32=-5k-32

Lets add 5k to both sides.

37k-32=-32

add 32 to both sides

37k=0

divide 37 from both sides

k=0

Answer:

Approximately [tex]58.28\; \rm m \cdot s^{-1}[/tex].

Step-by-step explanation:

The velocity of an object is the rate at which its position changes. In other words, the velocity of an object is equal to the first derivative of its position, with respect to time.

Note that the arrow here is launched upwards. (Assume that the effect of wind on Mars is negligible.) There would be motion in the horizontal direction. The horizontal position of this arrow will stays the same. On the other hand, the vertical position of this arrow is the same as its height: [tex]y = 62\, t - 1.86\, t^2[/tex].

Apply the power rule to find the first derivative of this [tex]y[/tex] with respect to time [tex]t[/tex].

By the power rule:

Therefore:

[tex]\begin{aligned}\frac{dy}{d t} &= \frac{d}{d t}\left[62 \, t - 1.86\, t^2\right] \\ &= 62\,\left(\frac{d}{d t}\left[t\right]\right) - 1.86\, \left(\frac{d}{d t}\left[t^2\right]\right) \\ &= 62 \times 1 - 1.86\times\left(2\, t) = 62 - 3.72\, t\end{aligned}[/tex].

In other words, the (vertical) velocity of this arrow at time [tex]t[/tex] would be [tex](62 - 3.72\, t)[/tex] meters per second.

Evaluate this expression for [tex]t = 1[/tex] to find the (vertical) velocity of this arrow at that moment: [tex]62 - 3.72 \times 1 =58.28[/tex].

Answer:

58.28 m/s

Step-by-step explanation:

y = 62t - 1.86t²

Speed, S = dy/dt = 62 - 2(1.86)t

S = 62 - 3.72t

When t = 1

S = 62 - 3.72 = 58.28 m/s

Answer:

320 sq in

Step-by-step explanation:

4(1/2*8*16) + (8*8)

= 4(64) + (64)

= 5(64)

= 320

Answer:

m = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (7, 3)

m = [tex]\frac{3+3}{7-5}[/tex] = [tex]\frac{6}{2}[/tex] = 3

Answer:

Step-by-step explanation:

[tex]8-11 =-3\\\\b. -8+10 = 2\\\\c. 13+(-6) = 13-6 \\= 7\\\\d. 7-(-3)\\= 7+3\\=10\\\\e.-5-(-2)\\=-5+2\\=-3\\\\f. -15-(-25)\\=-15+25\\=10\\\\g. -3+(-6)-(-9)\\= -3-6+9\\=-9+0\\=0\\\\h.-20-(-9)-(-8)\\=-20+9+8\\-20+17\\=-3\\\\[/tex]

[tex]-2+3-(-4)+(-5)\\-2+3+4-5\\= 1-1\\=0\\\\\\b. 18-(-10)+(-19)-8\\=18+10-19-8\\28-27\\=1\\\\c. 65+(-72)-(-45)\\= 65-72+45\\=-7+45\\=38[/tex]

Answer:

I would not separate the same edges when making a second net. Also,  I would make sure that the result cannot be rotated or flipped so that it is the same  as the first.

Step-by-step explanation:

Answer:

Sofia will order 7 more rolls of sushi (84 pieces) and pay $56

Step-by-step explanation:

They need at least 100 pieces of sushi

Sofia had ordered and paid for 24 pieces of sushi already

Sushi comes in rolls

Each roll=12 pieces at $8

R=additional rolls that Sofia orders

Additional sushi= Needed sushi - ordered sushi

=100-24

=76 pieces of sushi

Each roll has 12 pieces

76/12=6.33

Sofia has to order in rolls

So, she will order 7 more rolls of sushi of 12 pieces each

12*7=84 pieces

Recall, that they needed at least 100 pieces, so the number of pieces could be more than 100

If Sofia orders 84 pieces + the already ordered 24 pieces

Total pieces=108 pieces

She has paid for 24 pieces (3 rolls) at $8 per roll

7 rolls=$8*7

=$56

♡ The Question/Task(s)! ♡

✦ || 1) Which inequality describes this scenario?

✦ || 2) What is the least amount of additional money Sofia can spend to get the sushi they need?

︶꒦︶꒷︶︶ʚ♡ɞ︶︶꒷︶꒦︶

♡ The Answer(s)! ♡

✦ || 1) The inequality is, "24 + 12R ≥ 100"!

✦ || 2) They need 56 Dollars!

I apologize if the answer is incorrect! ♡

︶꒦︶꒷︶︶ʚ♡ɞ︶︶꒷︶꒦︶

♡ The Step-By-Step Process! ♡

✦ || Sofia needs the sushi she's already ordered plus the additional sushi to be at least 100 pieces. We can represent this with an inequality whose structure looks something like this:

(sushi already ordered) + (additional sushi) [≤ or ≥] 100

Then, we can solve the inequality for R to find how many additional rolls Sofia needs to order. Sofia has already ordered and paid for 24 pieces. Each roll has 12 pieces, and R represents the number of additional rolls, so the number of additional pieces from these rolls is 12R. The number of pieces she's already ordered plus the additional pieces needs to be greater than or equal to 100 pieces. Since she can't order partial rolls, Sofia needs to reserve 7 additional rolls. And each roll costs $8, so ordering 7 additional rolls costs 7 ⋅ $8 = $56.

︶꒦︶꒷︶︶ʚ♡ɞ︶︶꒷︶꒦︶

♡ Tips! ♡

✦ || No Tips Provided!ヽ(>∀<☆)ノ

Answer:

C. [tex]g\,\circ \, f (x) =g(f(x))[/tex]

Step-by-step explanation:

Let be [tex]f(x) = x-500000[/tex] the excedent on annual sales and [tex]g(x) = 0.2\cdot x[/tex] the bonus factor, to determine the bonus amount a composition of [tex]f(x)[/tex] is [tex]g(x)[/tex] must be done. That is:

[tex]g\,\circ \, f (x) =g(f(x))[/tex]

Hence, the right answer is C.

1. The first step here is to arrange the data set's form least to greatest,

Sherelle:  26, 39, 56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72, 73, 74, 75, 81, 83, 84, 85

Venita:  44, 45, 51, 51, 53, 53, 55, 57, 58, 62, 65, 66, 69, 69, 70, 73, 75, 77, 78, 79

Now we can determine our 5 - number summary based on the numbers respective positions.

First Data Set,

(Five - Number Summary) - Minimum : 26, Quartile 1 : 60, Median : 69.5, Quartile 3 : 75, Maximum : 85

Second Data Set,

(Five - Number Summary) - Minimum : 44, Quartile 1 : 53, Median : 63.5, Quartile 3 : 73, Maximum : 79

2. This part is based on your drawings of the box and whisker plots, so you would have to figure that part out by yourself.

3. First off we know that our data set is composed of the years from 1900, so let's rewrite the set based off of the actual year -

Sherelle:  1926, 1939, 1956, 1958, 1960, 1962, 1965, 1966, 1966, 1968, 1971, 1972, 1972, 1973, 1974, 1975, 1981, 1983, 1984, 1985

Venita:  1944, 1945, 1951, 1951, 1953, 1953, 1955, 1957, 1958, 1962, 1965, 1966, 1969, 1969, 1970, 1973, 1975, 1977, 1978, 1979

( a ) Now in Sherelle's defence, she can say that the lowest coin date in her group is 1926, comparative to Venita's group - the lowest coin date in hers being 1944. Therefore, she is more likely to have the 1916 coin, after all that date is the lowest overall in both their data set.

( b ) In Venita defence, she can say that the mean of her data set is lower than the mean of Sherelle's data set. Take a look at the calculations below,

Sherella's Mean : [tex]\frac{39336}{20}[/tex] = [tex]\frac{9834}{5}[/tex] = 1966.8,

Venita's Mean : [tex]\frac{39250}{20}[/tex] = [tex]\frac{3925}{2}[/tex] = 1962.5

( c ) I would say Sherella's bag would most likely contain the 1916 coin. The mean is a prominent factor, but their mean(s) only differ by a very small quantity. That too, Sherella's bag contains the lowest coin in both their groups, and though that is not a prominent factor, it could be that she does have the 1916 coin.

Answer and explanation:

A negative correlation means a relationship between two variables whereby each variable affects the other such that an increase in one variable means a decrease in the other and vice versa. This is the situation with the correlation graph/scatter plot of Dr. Hotchkins: An increase in stress would cause a decrease in emotional well being and vice versa

An Outlier is a data point on the scatter plot that does not fall into the pattern of the correlation graph. From the above, 4 points are outliers: extremely high points on stress and emotional well being. These points would affect (increase or decrease) the correlation coefficient depending on where they fall in the pattern. In this case there are 4 outliers out of 60 data points and we know that the more outliers there are the more effect they have on the correlation coefficient and vice versa(also depending on where the outlier is on the scatter plot)

Answer:

S = x + 10

R = 2x + 10

Step-by-step explanation:

If R is Roberto's age, and S is his sister's age, then:

R = S + x

R − 10 = 2 (S − 10)

Solve with substitution.

S + x − 10 = 2 (S − 10)

S + x − 10 = 2S − 20

S = x + 10

R = 2x + 10

Answer:

By factoring we get:

(x -9) * (x -9) = 0

The answers are

x = 9 and x = 9

Step-by-step explanation:

Answer:it’s A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of a triangle is given by the formula:

● A = (b×h)/2

b is the base and h is the heigth.

■■■■■■■■■■■■■■■■■■■■■■■■■■

Draw the heigth. This gives you two small right triangles.

Let's focus on the right one containing 45°.

● sin 45° = h/8

● h = sin 45° × 8 = 4√(2)

■■■■■■■■■■■■■■■■■■■■■■■■■■

Replace h by its value in the area formula. The base is 17

● A = (17× 4√(2))/ 2

● A = 34√(2)

● A = 48.08

Round to the nearest unit

● A = 48

Answer:

Area = 48 sq. units

Step-by-step explanation:

will make it short and simple.

area of a triangle = 1/2 * a * b * sinФ

area = 1/2 * 17 * 8 * sin(45°) = 48 sq. units

There are 12 factors which are perfect squares is 1,  4,  9,  16,  36,  64,  81, 144,  324, 576, 1296, 5184.

Factors can be define splitting the value in multipliable values.

Factorization of 15552
= 1 * 4 * 4 * 4* 9 * 9 * 3

Perfect squares can be formed by above factors are
= 1,  4,  9,  16,  36,  64,  81, 144,  324, 576, 1296, 5184.

Thus, there are 12 factors which are perfect squares is 1,  4,  9,  16,  36,  64,  81, 144,  324, 576, 1296, 5184.

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Find the z-score for both 75% and 82% then subtract them.

Z-score for 75%:

75 -75 /7 = 0-7 = 0

Using empirical rule, This translates to a percentile if 50%

Z-score for 82%

82-75 /7 = 7/7 = 1

Using empirical rule, this translates to 84.13%

Answer = 84.13-50 = 34.13% round to 34%

Answer:

34%

Step-by-step explanation:

Well 75+7=82 and one hop on the graph is 34%.

Answer:

Step-by-step explanation:

The only place that the function is increasing is [-3, -1] (learn your interval notation). At x = -3, y = -11; at x = -2, y = -6 (-6 is greater than -11); and at x = -1, y = -1 (-1 is greater than -6). The next x value, 0, returns a y value of -2. But -2 is less than -1, the value before it, so it begins deceasing again at x = 0.

Based on the values given in the table for f(x), the interval of x-values that show the function increasing is (-3, -1).

The value of f(x) was decreasing from 34 until it got to -11 where it then started to rise again. The relevant value of x here is -3.

The value then began to rise until it reached -1 where it then fell to -2. The x value here is -1.

The interval of x-values where the function is increasing is therefore (-3, -1).

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Answer:

[tex] \boxed{\sf B. \ 2x^{2} + 11} [/tex]

Given:

f(x) = 3x² + 2

g(x) = x² - 9

To Find:

(f - g)(x)

Step-by-step explanation:

[tex]\sf (f -g)(x) = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(3x^{2} + 2) - (x^{2} - 9) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3x^{2} + 2 - x^{2} + 9 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3x^{2} - x^{2} + 2 + 9 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(3x^{2} - x^{2}) + (2 + 9) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2x^{2} + (2 + 9) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2x^{2} + 11 [/tex]

Answer:

1 hour= 4.5 miles

18 miles= 4 hours

Step-by-step explanation:

Answer:

  swap the middle two steps to put them in order

Step-by-step explanation:

The steps in order would be ...

Answer:

0.88175960442

Step-by-step explanation:

The square root of 0.7775 is 0.88175960442

The value of standard deviation will be;

⇒ 0.8803

What is mean by square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The value of Variance = 0.7775

Now,

Since, The standard deviation is the square root of the variance.

Hence, We can formulate;

The value of standard deviation = √0.7775

                                                 = 0.8803

Thus, The value of standard deviation will be;

⇒ 0.8803

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Answer:

See below.

Step-by-step explanation:

p: Atlanta is the capital of Georgia.

q: There are 4 feet in a yard.

p is true; q is false

11. p V q:

Atlanta is the capital of Georgia, or there are 4 feet in a yard.

Truth value: true since one of the statements is true.

12. p ▲ q:

Atlanta is the capital of Georgia, and there are 4 feet in a yard.

Truth value: false since not both statements are true.

13. p ▲ ~q:

Atlanta is the capital of Georgia, and there are not 4 feet in a yard.

Truth value: true since both of the statements are true.

11. ~p V q:

Atlanta is not the capital of Georgia, or there are 4 feet in a yard.

Truth value: false since both statements are false.

Answer:

Step-by-step explanation:

Answer:

Hey there!

You would write that as 2(9-n), where n is the number.

Hope this helps :)

Answer:

31 Feets

Step-by-step explanation:

Given the expression for the height of a baseball:

Height(t) = -16t^2 +64t +3

Height in Feets ; time (t) in seconds

Height of baseball after 3.5 seconds :

Height(3.5) = -16(3.5)^2 + 64(3.5) + 3

Height = - 16(12.25) + 64(3.5) + 3

Height = - 196 + 224 + 3

Height = 31 Feets

Height after 3.5 seconds = 31 feets

Answer:

2c +7d

Step-by-step explanation:

2c+2d+5d

Combine like terms

2c + d(2+5)

2c +7d

Answer:

The simplified answer of this expression is 2c + 7d

Step-by-step explanation:

For this problem, you will have to combine like terms.

2c + 2d + 5d

Combine 2d and 5d.

2c + 7d

Answer:

The ratio of the number of mangoes in the $3 stack to those in the $6 stack is 1 : 2

Step-by-step explanation:

Let the number of mangoes bought by the grocery store be n. Also let the number of mango sold for $3 in one stack be x and the number of mango sold for $6 in the second stack be y.

Therefore:

x + y = z                                  (1)

Also, the mangoes was sold at break even price, that is the cost of the mango and the price it was sold for was the same. Therefore:

Cost of buying = Price it was sold for

The cost of the mango = 5z and the price it was sold for = 3x + 6y

3x + 6y = 5z                            (2)

Substituting z = x + y in equation 1

3x + 6y = 5(x + y)

3x + 6y = 5x + 5y

6y - 5y = 5x - 3x

y = 2x

x / y = 1/ 2 = 1 : 2

The ratio of the number of mangoes in the $3 stack to those in the $6 stack is 1 : 2

Answer:

8 turns

Step-by-step explanation:

If we want to take a full turn, we'd turn around 360° since we'd be in the same position.

If we turn in intervals of 45°, we need to find how many times 45 goes into 360. To do this, we can divide.

[tex]360\div45=8[/tex]

Hope this helped!

Answer:

It will take 8  45 degree angles to make a full turn

Step-by-step explanation:

360 degrees is a full turn

360/45 =8

It will take 8  45 degree angles to make a full turn

Answer:

The answer is

Step-by-step explanation:

Circumference of a circle( C) = πd

where d is the diameter

π = 3.142

From the question

d = 1.8cm

Substitute d = 1.8 into the above formula

Circumference of the circle is

3.142 × 1.8

= 5.6556

We have the final answer as

Hope this helps you

Work Shown:

A = P*(1+r/n)^(nt)

A = 500*(1+0.04/1)^(1*3)

A = 562.432

A = 562.43

Answer: $562.43

Step-by-step explanation:

The initial start up amount is 500  and we want to expressed this as an exponential function. So since we know the initial value we need to find the rate of change. So if you earn 4% interest you are earning 4% percent more on top the actual 100%.

So 100%  + 4 % = 104% = 1.04  

The common difference is 1.04.

so  500 * 1.04^n= A where n is the number of years and A is the total amount.

A = 500 * [tex]1.04^{3}[/tex]  

A= 562.43

Answer:

x = -4 + 3 i or x = -4 - 3 i

Step-by-step explanation:

Solve for x:

(x + 4)/(x + 5) = (x - 5)/(2 x)

Hint: | Multiply both sides by a polynomial to clear fractions.

Cross multiply:

2 x (x + 4) = (x - 5) (x + 5)

Hint: | Write the quadratic polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

2 x^2 + 8 x = (x - 5) (x + 5)

Hint: | Write the quadratic polynomial on the right hand side in standard form.

Expand out terms of the right hand side:

2 x^2 + 8 x = x^2 - 25

Hint: | Move everything to the left hand side.

Subtract x^2 - 25 from both sides:

x^2 + 8 x + 25 = 0

Hint: | Using the quadratic formula, solve for x.

x = (-8 ± sqrt(8^2 - 4×25))/2 = (-8 ± sqrt(64 - 100))/2 = (-8 ± sqrt(-36))/2:

x = (-8 + sqrt(-36))/2 or x = (-8 - sqrt(-36))/2

Hint: | Express sqrt(-36) in terms of i.

sqrt(-36) = sqrt(-1) sqrt(36) = i sqrt(36):

x = (-8 + i sqrt(36))/2 or x = (-8 - i sqrt(36))/2

Hint: | Simplify radicals.

sqrt(36) = sqrt(4×9) = sqrt(2^2×3^2) = 2×3 = 6:

x = (-8 + i×6)/2 or x = (-8 - i×6)/2

Hint: | Factor the greatest common divisor (gcd) of -8, 6 i and 2 from -8 + 6 i.

Factor 2 from -8 + 6 i giving -8 + 6 i:

x = 1/2-8 + 6 i or x = (-8 - 6 i)/2

Hint: | Cancel common terms in the numerator and denominator.

(-8 + 6 i)/2 = -4 + 3 i:

x = -4 + 3 i or x = (-8 - 6 i)/2

Hint: | Factor the greatest common divisor (gcd) of -8, -6 i and 2 from -8 - 6 i.

Factor 2 from -8 - 6 i giving -8 - 6 i:

x = -4 + 3 i or x = 1/2-8 - 6 i

Hint: | Cancel common terms in the numerator and denominator.

(-8 - 6 i)/2 = -4 - 3 i:

Answer: x = -4 + 3 i or x = -4 - 3 i