Solve the inequality.
x+7 > 18
The solution is
Graph the solution.

Answer:

x = 60

Step-by-step explanation:

(x+22) + (x+6) + (x-28) = 180

x + 22 + x + 6 + x - 28 = 180

x + x + x + 22 + 6 - 28 = 180

3x = 180

x = 180/3

x = 60

Answer:

8+3+23

Step-by-step explanation:

9514 1404 393

Answer:

  6.5 cm

Step-by-step explanation:

The Pythagorean theorem applies. You want c for a=1.6, b=6.3.

  c² = a² +b²

  c² = 1.6² +6.3² = 2.56 +36.69 = 42.25

  c = √42.25 = 6.5

The length of the hypotenuse is 6.5 cm.

b = -8

Hope I helped!!!!!!

Answer:

k = m(x) - f(x)

Step-by-step explanation:

m(x) = f(x) +k

m(x) - f(x) = k

Answer:

[tex]d= 3.61\ units[/tex]

Step-by-step explanation:

The points (missing) from the question are:

-2,1 and -5,3

Required

Evaluate [tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

In the points given:

[tex](x_1,y_1) = (-2,1)[/tex] and [tex](x_2,y_2) = (-5,3)[/tex]

Substitute these values in [tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

[tex]d= \sqrt{(-5 - (-2))^2 + (3 - 1)^2[/tex]

[tex]d= \sqrt{(-3)^2 + (2)^2[/tex]

[tex]d= \sqrt{9 + 4[/tex]

[tex]d= \sqrt{13[/tex]

[tex]d= 3.61\ units[/tex] -- approximated

Answer:

m<1 = 62°

m<2 = 45°

m<3 = 24°

Step-by-step explanation:

Hi!

Let me walk you through it!

The first step is to find angle 1.

Angle 1 is supplementary with the angle 118°

So we do 180° - 118° = 62°

m<1 = 62°

Then we find angle 2.

There are two ways to do this

The sum of interior angles in a triangle is 180°

So we do 180° - (73 + 62°)

Open parenthesis:

180° - 73° - 62° = 45°

You can also use the exterior angle theorem

118° = 73° + m<2

Same to both sides:

45° = m<2

So

m<2 = 45°

Now, using this information, we can find angle measure 3.

Now we look at the big triangle. Again, there are two ways to do this.

First way:

m<1 + 49° + m<2 + m<3 = 180°

Plug in known-values

62° + 49° + 45° + m<3 = 180°

Combine like terms:

156° + m<3 = 180°

Same to both sides:

m<3 = 24°

Second way:

Exterior angle theorem.

118° = m<2 + m<3 + 49°

Plug in known-values:

118° = 45° + m<3 +49°

Combine like terms:

118° = 94° + m<3

Same to both sides:

24° = m<3

So m<3 = 24°

There you go! You just need to take it step-by-step and you can get the answer. Be open-minded, don't just try to go for a certain angle, see what you can do, and work from there. It all comes together at the end.

Let me know if you have any questions, have a good day!

Answer:

1181.15

Step-by-step explanation:

This question is incomplete, the complete question is;

Data on oxide thickness of semiconductors are as follows: 425, 430, 414, 419, 421, 436, 418, 412, 430, 434, 423, 426, 408, 437, 435, 428, 412, 426, 409, 439, 422, 426, 414, 416

(a) Calculate a point estimate of the mean oxide thickness for all wafers in the population. (Round your answer to 3 decimal places.)

(b) Calculate a point estimate of the standard deviation of oxide thickness for all wafers in the population. (Round your answer to 2 decimal places.)

(c) Calculate the standard error of the point estimate from part (a). (Round your answer to 2 decimal places.)

Answer:

a) point estimate of the mean oxide thickness for all wafers in the population is 423.333

b) point estimate of the standard deviation of oxide thickness for all wafers in the population is 9.23

c) the standard error of the point estimate from part (a) is 1.88

Step-by-step explanation:

Given the data in the question;

x = 425, 430, 414, 419, 421, 436, 418, 412, 430, 434, 423, 426, 408, 437, 435, 428, 412, 426, 409, 439, 422, 426, 414, 416.  

a)

To determine the mean;

we sum the total value divided by the sample size.

mean x" =  (425 + 430 + 414 + 419 + ............... + 414 + 416) / 24

mean x'' =   10160/ 24    

mean x" = 423.3333 ≈ 423.333

Therefore; point estimate of the mean oxide thickness for all wafers in the population is 423.333

b)  standard deviation

we can determine the population standard deviation us the formula;

S.D(X) = √[ (ⁿ∑_[tex]_{i=1}[/tex] ([tex]X_{i}[/tex] - X")²) / n ]

= √[ {(425-423.3333)² + (430-423.3333)² +......+ (416-423.3333)² } / 24 ]

= √[ 1957.333 / 24 )

S.D(X) = 9.03  

Note, the point of estimate of the variance population is biased estimate.

The unbiased point estimate of oxide thickness for all wafers in the population will be;

S.D(X) = √[ (ⁿ∑_[tex]_{i=1}[/tex] ([tex]X_{i}[/tex] - X")²) / (n-1) ]

= √[ {(425-423.3333)² + (430-423.3333)² +......+ (416-423.3333)² } / (24-1) ]

= √[ 1957.333 / 23 )

S.D(X) = 9.225 ≈ 9.23

Therefore, point estimate of the standard deviation of oxide thickness for all wafers in the population is 9.23

c) the standard error  

SE (X") = S.D / √n

since the standard deviation is the unbiased estimate for the population, so;

SE (X") = 9.23 / √24

SE (X") = 1.884 ≈ 1.88

Therefore, the standard error of the point estimate from part (a) is 1.88

Answer:

Step-by-step explanation:

Remember that the sides of a 30-60-90 triangle are in the ratio 1:√3:2

Since the horizontal leg is half the hypotenuse, it must be a 30-60-90 triangle, and x° = 30°

Answer:

D. [tex] 9 \sqrt{2} [/tex]

Step-by-step explanation:

Side length of square = Perimeter/4 = 36/4 = 9

Length of diagonal (x)

[tex] = length \: of \: side \sqrt{2} \\ \\ = 9 \sqrt{2} [/tex]

Answer:

one time.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

1/2 b*h

Step-by-step explanation:

for rectangle it is b*h means double of that traingle

Answer:

Step-by-step explanation:

Change in one year:

Change after 5 years:

Answer:

-24

Step-by-step explanation:

12(-2)+5(3)-15

-24+15-15

-24+15

-9-15

= -24

Answer:

Step-by-step explanation:

area of base = 22in×12in = 264 sq in

Height of tank = volume/(base area) = 3960/264 = 15 inches

Lateral area = 2(22 × 15) + 2(12 × 15) = 660+360=1020 sq in

Surface area = base area + lateral area= 264+1020=1284 sq in

Answer:

The answer is -5n + 4x - 7y + 6

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

Brainly, Please?

Step-by-step explanation:

(1x+12/5)=18

X=18-12/5

X=15..6

Answer:

hello

Step-by-step explanation:

Answer:

3562.6 m³

Step-by-step explanation:

In this question, we have to find the volume of a cylinder.

The formula to find the volume of a cylinder is V = πr²h

Plug in your values and solve.

Solve:

V = π(9)²(14)

V = π(81)(14)

V = π(1,134)

V = 3562.566069

Round to the nearest tenths place.

V = 3562.6

Don't forget that the units for volume is already cubed, or to the power of 3.

Your final answer would be 3562.6 m³

Answer:

674.6

Step-by-step explanation:

If the hundreths place is 4 or less, then you stay the same in the tenths place, if it is 5 or more, you go up 1 in the tenths place

Answer:

Step-by-step explanation:

Answer:

Y=6

Step-by-step explanation:

5(6)+1=31

30+1=31

Answer:

y=6

Step-by-step explanation:

5y+1=31

simplify

5y=30

divide both sides by 5

y=6

Answer:

1. x = 15°

2. y = 12

Step-by-step explanation:

1. Determination of the value of x.

(5x – 5) + 110 = 180 (Adjacent angles add up to 180)

5x – 5 + 110 = 180

5x + 105 = 180

Collect like terms

5x = 180 – 105

5x = 75

Divide both side by 5

x = 75/5

x = 15°

2. Determination of the value of y.

3y – 4 = 2y + 8 (opposite sides are equal)

3y – 4 = 2y + 8

Collect like terms

3y – 2y = 8 + 4

y = 12

Answer:

8 percent

Step-by-step explanation:

There is an 8 percent increase, because if you do 20 cents divided by 250 cents, you get 0.08, which is 8 percent. Also to double check, you can do 250 * 1.08. By the way, that is some rip off lunch.

Answer:

-3/2

Step-by-step explanation:

go up 3 and left 2