If x=3 and y=7, evaluate the following expression: 100 − 3 ( 3 − 4x )

Answer:

The dimensions of the iphone are 2 inches by 7 inches.

Step-by-step explanation:

Given that,

The dimensions of an iPhone are x – 2 and x + 3.

The area of an iphone is 14 sq inches

We need to find the dimensions of the iPhone. It is in the shape of a rectangle. Its area is given by :

[tex]A=l\times b\\\\(x-2)(x+3)=14\\\\x^2-2x+3x-6=14\\\\x^2+x-6-14=0\\\\x^2+x-20=0\\\\x^2+5x-4x-20=0\\\\x(x+5)-4(x+5)=0\\\\(x-4)(x+5)=0\\\\x=4\ and\ x=-5[/tex]

Neglecting negative value

First dimension = (x-2) = (4-2) = 2 inches

Other dimension = (x+3) = (4+3) = 7 inches

Hence, the dimensions of the iphone are 2 inches by 7 inches.

Answer:41 m

Step-by-step explanation:

Lets use the Pythagoras thermos to solve

40^2+9^2=c^2

1600+81=c^2

1681=c^2

41=c

The value of the hypotenuse is 41

I see you already attempted this question and got it right, Good job!

Answer:

41

Step-by-step explanation:

Use the Pythagorean theorem to sovle this problem. The Pythagorean theorem states the following,

[tex]a^2 + b^2 = c^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve for the unknown,

[tex](9)^2 + (40)^2 = c^2\\\\81 + 1600 = c^2\\\\1681 = c^2\\\\41 = c[/tex]

Answer:

MAD would be more similar than mean

Step-by-step explanation:

Without doing any calculations, I assumed that the average value for each neighbor is different since their dot plots surround different areas. The MAD is the mean absolute deviation where it shows how distributed are the dot plots compared to the average value. In this case, I can tell that both neighborhoods having a very similar distribution of dot plots relative to their average/mean. Hope this helps!

Answer:

Part A: To find the volume of a cylinder, we need the dimensions of the cylinder such as the radius of the base of the cylinder and the height of the cylinder.

Part B: We have given the base of the refraction cup as a half-circle, we can calculate the radius of the base.

The diameter is given as 8 cm so, the radius would be half of the diameter.

r = 4cm

Part C:  If you put two refraction cups together, we get the full three-dimensional shape that is a circle.

Part D: The formula for the volume of a cylinder is V=pi r^2 h.

Part E: The volume of a refraction cup =

= 4/3 (3.14)(8)

= 33.49

Part F: The relationship between the value D and the value from Part D is as follows

The volume of a cylinder = 3 times the volume of a refraction cup

Step-by-step explanation:

Answer: ...BEDMAS..

steps,..

70×2+20×30+19

140+600+19

740+19

=759

.... and I'm not all fine lol...wau guy??

Answer:

same shape and size

Step-by-step explanation:

Answer:

Similarity in my opinion

Answer:

we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.

Step-by-step explanation:

H0 : μ = 582

H1 : μ < 582

Test statistic :

T = (xbar - μ) ÷ σ/√n

Xbar = 515 ; n = 20 ; σ = 120

T = (515 - 582) ÷ 120/√20

T = -67 / 26.832815

T = 2.50

Pvalue at t score = 2.50 ; df = 19 is 0.0187

At α = 0.0187

Pvalue > α ; Hence, we fail to reject the Null

Hence, we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.

Answer:

5 f

Re-order terms so that constants are on the left

. 5

5 f

solution

5 f

Answer:

number 3

Step-by-step explanation:

thats my calcue

Answer:

3

Step-by-step explanation:

1 hour = 60 minutes.

1/4 of an hour = 60 minutes / 4 = 15 minutes.

15 minutes / 5 minutes segments = 3

There are 3 five-minute segments in 1/4 of an hour

Answer:

C.

Step-by-step explanation:

Answer is C. because there are a total of 60 minutes in 1 hour. We know that there is 30 minutes in half a hour. Half of 30 minutes is 15 minutes and it takes 3 five minute segments to get 15 minutes.

You can do it like this 60 * 1/4 = 60/4

60/4 = 15/1

15 = 5 * 3

Answer:

0.18

Rounded

0.2

Step-by-step explanation:

Answer:

12593

Step-by-step explanation:

tell me if this hepls

Ur should be noted that Kathy Lehner owes approximately $1,311.97.

Previous balance (10/1): $1,164

Credit (10/3): $79 credit. This reduces the balance, so the new balance is $1,164 - $79 = $1,085.

Charge: King Soopers (10/12): $148 charge. This increases the balance, so the new balance is $1,085 + $148 = $1,233.

Payment (10/15): $310 credit. This reduces the balance, so the new balance is $1,233 - $310 = $923.

Charge: Delta (10/25): $321 charge. This increases the balance, so the new balance is $923 + $321 = $1,244.

Charge: Holiday Fun (10/30): $61 charge. This increases the balance, so the new balance is $1,244 + $61 = $1,305.

Interest calculation: $1,305 * (6% * (31/365)) = $6.9698 (rounded to the nearest cent, which is $6.97).

Finally, to determine the total amount owed, we add the balance and the interest:

Total amount owed: $1,305 + $6.97 = $1,311.97

Therefore, Kathy Lehner owes approximately $1,311.97.

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Answer:

x = 5

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h is height )

Here A = 20, b = (x + 3) and h = (2x - 5) , then

[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ← multiply both sides by 2

(x + 3)(2x - 5) = 40 ← expand left side using FOIL

2x² + x - 15 = 40 ( subtract 40 from both sides )

2x² + x - 55 = 0 ← in standard form

(x - 5)(2x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5

But x > 0 , so x = 5

Answer:

I think it's a

Step-by-step explanation:

Answer:

0.7704 = 77.04% probability that he is through grading before the 11:00 P.M. TV news begins

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Distribution of n values from a normal distribution:

If we take n values from a normally distributed variable, the mean is [tex]\mu*n[/tex], and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]

There are 46 students in an elementary statistics class. For each student, the mean is of 5 min and a standard deviation of 4 min.

This means that

[tex]\mu = 46*5 = 230[/tex]

[tex]s = 4\sqrt{46} = 27.13[/tex]

(a) If grading times are independent and the instructor begins grading at 6:50 P.M. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 P.M. TV news begins?

This is the probability that he finishes grading in 4 hours and 10 minutes, that is, 4*60 + 10 = 250 minutes, which is the pvalue of Z when X = 250.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this distribution

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{250 - 230}{27.13}[/tex]

[tex]Z = 0.74[/tex]

[tex]Z = 0.74[/tex] has a pvalue of 0.7704

0.7704 = 77.04% probability that he is through grading before the 11:00 P.M. TV news begins

Q) What percentage of sudents who passed the test completed the review sheet

A)

19/27*100

=70.37%

Nearest 10th of a percent

=70%

Answer:

Solution given:

4x+3x=10x-45[exterior angle is equal to the sum of two opposite interior angle]

45=10x-7x

x=45/3

x=15

now.

<B=4x=4×15=60° is your answer

The required measure of ∠B is 60° for the given triangle.

An exterior Angle is defined as an angle produced on the outside of a polygon by extending the sides of the polygon.

According to the shown figure, we have:

The external angle is ∠BCG = 10x - 45.

And, two interior angles as ∠A = 3x, and ∠B = 4x.

As we know that the sum of two opposite interior angles equals the exterior angle.

So, we can be written as follows:

4x + 3x = 10x - 45

45 = 10x - 7x

x = 45/3

x = 15

So, the measure of ∠B is:

∠B = 4x

∠B = 4 × 15

∠B = 60°

Thus, the required measure of ∠B is 60°.

Learn more about the exterior angles here :

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Answer:

thanks so much! you too :)

Step-by-step explanation:

Answer:

same to you.

Explanation:

Answer:

y - 9 = 1/2(x + 3)

Step-by-step explanation:

find the slope that is perpendicular to line y = -2x + 8, which is the negative reciprocal slope: 1/2

substitute the new slope 1/2 and the given/known point (-3, 9) into the point-slope form:

=> y - 9 = 1/2(x - (-3)) => y - 9 = 1/2(x + 3)

point-slope form:

Answer:

The right answers are 1,4 and 6

Answer:

x-3 =0

6=2x

x^2 = 9

Step-by-step explanation:

substitute the values, and you will get the answer!

have a great day!!

answer is 9

Change the sign of the exponent by rewriting the base as its reciprocal

3^2

raise 3 to the power of 2

you get 9

Answer:

Step-by-step explanation:

we need the arc length formula . it's Arc length = 2πr (θ/360)

Arc length = 2π5 (144/360)

Arc length = 12.56637 cm  

Answer:

N=10

3n+6=36

3n-2=28

Step-by-step explanation:see photo

Answer:

x = 3

Step-by-step explanation:

Once again we want to use the relationship stated earlier

Where A * B = C * D

Once again imagine that the segments in the given problem have letters

A = x

B = 12

C = x + 1

D = 9

Now we create an equation using the relationship

12 * x = 9(x+1)

now we solve using basic algebra

step 1 distribute the 9 to the x and the 1

9 * x = 9x

9 * 1 = 9

now we have 12x = 9x + 9

step 2 subtract 9x from each side

12x - 9x = 3x

9x - 9x cancels out

now we have 3x = 9

step 3 divide each side by 3

3x/3=x

9/3=3

we're left with x = 3

Answer:

x = 3 / C. 3

Step-by-step explanation:

Hope this helps

Answer:

It’s (-3, -4)

Step-by-step

I did this program too.

9514 1404 393

Answer:

  16 and 10

Step-by-step explanation:

Let x and y represent the two integers.

  x = 2y -4 . . . . . one is 4 less than twice another

  x^2 +y^2 = 356 . . . . the sum of their squares is 356

We can solve these using substitution.

  (2y -4)^2 +y^2 = 356 . . . . substitute for x

  5y^2 -16y +16 = 356 . . . .  simpify

  5y^2 -16y -340 = 0 . . . . . put in standard form

  (5y +34)(y -10) = 0 . . . . . . factor*

  y = 10 . . . . . the only positive solution

  x = 2(10) -4 = 16

The integers are 16 and 10.

_____

* A graphing calculator can provide useful insight as to the factors.

Answer:

16 and 10 is the answer.

Step-by-step explanation:

Answer:

A

Step-by-step explanation: