What is the range of the absolute value function below?

Answer:

x-1+5x+1=180, 6x=180, x=30

Step-by-step explanation:

Step-by-step explanation:

the surface area is the sum of all areas of the individual outside faces/sides.

so, what do we see here, what outside sides do we have here ?

of course, we have to assume that this is a regular object (left and right sides are the same).

2 right-angled triangles (left and right).

1 rectangle in the back.

1 rectangle at the bottom.

1 times rectangle in the front.

the area of a right-angled triangle is

leg1 × leg2 / 2

in our case that is

6 × 2.5 /2 = 3 × 2.5 = 7.5 mm²

we have 2 of these triangles :

2×7.5 = 15 mm²

the area of the rectangle in the back is

8 × 6 = 48 mm²

the area of the rectangle at the bottom is

8 × 2.5 = 20 mm²

the area of the rectangle in the front is

8 × 6.5 = 52 mm²

the surface of the object is the sum of all that :

15 + 48 + 20 + 52 = 135 mm²

Answer: x = 50

Step-by-step explanation:

In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.

The answers are a)the sample mean, which is $1,235. b) margin of error = $58.50. c)95% .d)the average monthly rent is at least $1,300.e)The z-score for a 92% confidence interval is 1.75.

a) The sample mean is the point estimate of the true mean monthly rent for one-bedroom apartments available for rent near BCIT, which is $1,235.

(b) At a 95% confidence level, the margin of error on the true mean monthly rent estimate is calculated as follows:

Margin of error = Z * (standard deviation / square root of sample size), where Z is the desired confidence level's z-score, which is 1.96 for a 95% confidence level.

Thus, the margin of error is equal to 1.96 * (150 / sqrt(36)) = $58.50.

(c) The 95% confidence interval for the true mean monthly rent is calculated as follows:

Lower value = point estimate minus margin of error = $1,235 minus $58.50 equals $1,176.50

Upper estimate + margin of error = $1,235 + $58.50 = $1,293.50.

(d) To see if the confidence interval supports the friend's claim that the average monthly rent for a one-bedroom apartment available for rent near BCIT is at least $1,300, we need to see if the lower limit of the confidence interval is greater than or equal to $1,300.

Given that the confidence interval is $1,176.50 $1,300, we can conclude that the confidence interval does not support the friend's claim that the

average monthly rent is at least $1,300. As a result, the answer is "No."

(e) A standard normal distribution table or calculator can be used to calculate the z-score corresponding to a 92% confidence interval.

A 92% confidence interval has a z-score of 1.75. (to two decimal places).

To know more about confidence interval visit:-

https://brainly.com/question/29680703

#SPJ1

collect the like terms

Answer is C

Answer:

c

Step-by-step explanation:

The amount of rainfall is an illustration of inverse functions, and rates.

The function is given as: R = f(t)

(a) Interpret f(6) = 4.8

This means that:

The amount of rainfall at 6 seconds is 4.8 cm

(b) Interpret f'(6) = 0.5

f'(6) represents the rate of the function

So, this means that:

The rate at which rain falls at 6 seconds is 0.5 cm per second

(c) Interpret f^-1(5) = 14

f^-1(6) represents the inverse function

So, this means that:

The time at which 5 cm of rain falls, is 14 seconds

(d) Interpret f^-1'(5) = 1.5

f^-1'(5) represents the rate of the inverse function

So, this means that:

The rate of time when 5 cm of rain falls is 1.5 seconds per cm

Read more about functions, inverse and rates at:

https://brainly.com/question/15634149

The simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

Let us solve the given algebraic expression by the long division method:

We are given the expression:

(2x^3 + 3x + 7) / (x^2 + x + 10)

We need to perform the division of the given algebraic expression:

x^2 + x + 10  ) 2x^3 + 3x + 7 ( 2x - 2

                       2x^3 + 2x^2 + 20x

                     -         -            -        

                         -2x^2 - 17x + 7

                         -2x^2 - 2x  - 20

                         +        +       +          

                                  -15x + 27

So,

quotient = 2x - 2

remainder =  -15x + 27

Thus, the simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

To learn more about algebraic expression visit:

https://brainly.com/question/28884894

#SPJ1

Combining like terms yields 7x⁵ - x³ - x² + 4x.

Answer:

One possible function that meets the requirements is \(f(x) = 5\, \sin((1/2)\, x + (\pi / 2))\).

Step-by-step explanation:

In general, a sinusoidal function is of the form \(f(x) = A\, \sin(\omega\, x + \varphi) + D\), where \(A\), \(\omega\), \(\varphi\), and \(D\) are constants.

The constant \(A\) determines the amplitude of this sinusoidal function. The amplitude is \((1/2)\) the vertical distance between maxima and minima. In this question, the vertical distance between maxima and minima is \((5 - (-5)) = 10\), such that \(A = (1/2) \, (10) = 5\).

The constant \(D\) determines the midpoint between maxima and minima. In this question, the midpoint between minima (\(y = (-5)\)) and maxima (\(y = 5\)) is \((1 / 2)\, ((-5) + 5) = 0\). Hence, \(D = 0\).

The constant \(\omega\) determines the period of this sinusoidal function. The period of \(f(x) = A\, \sin(\omega\, x + \varphi) + D\) is \((2\, \pi / \omega)\), such that:

In this question, assume that there is no minima between \(x = 0\) and \(x = 2\,\pi\) (exclusive). Hence, \((\pi / \omega) = 2\,\pi\), and \(\omega = (1/2)\).

The constant \(\varphi\) shifts the sinusoidal function horizontally. After finding \(A\), \(D\),  and \(\omega\), substitute in a point on the graph of this function to find the value of \(\varphi\!\). For example, since \((0,\, 5)\) is a point on the graph of \(f(x) = A\, \sin(\omega\, x + \varphi) + D = 5\, \sin((1/2)\, x + \varphi)\):

\(5\, \sin((1/2)\, (0) + \varphi) = 5\).

\(5\, \sin(\varphi) = 5\).

One possible value of \(\varphi\) would be \((\pi / 2)\).

Hence, one possible formula satisfying the requirements is \(f(x) = 5\, \sin((1/2)\, x + (\pi / 2))\).

Answer:

7, 4 or 11

Step-by-step explanation:

     No matter what n, k, or z is, 7 + 4 will always be constant. If you need to go farther, 7 + 4 is 11.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

It is a valid conclusion

Step-by-step explanation:

Answer:

First look at the number of bricks alone.

Going from 50 bricks to 60 bricks is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 60/50

Next look at the time alone.

Going from 30 minutes to 20 minutes is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 30/20

Now you can just multiply everything.

= 5*60/50*30/20

= 5*6/5*3/2

= 90\10

= 9.

9514 1404 393

Answer:

  f(g(3)) = 35

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  f(g(3)) = f(2·3 -3) = f(6 -3) = f(3)

  f(3) = 2·3² +6·3 -1 = 2·9 +18 -1 = 36 -1 = 35

  f(g(3)) = 35

Answer:

59

Step-by-step explanation:

b^3 is 27

2(27) is 54

54+5 is 59

if u mean (2b)^3 then 2b is 6

6^3 is 216

plus 5 is 221

Answer: It is 59 For part 2 But for part 1 it is 3

Step-by-step explanation:

After inviting an additional friend to help, Estella and her friends can make a total of 5 glasses of lemonade, which is an additional 1 glass.

Suppose Estella was making lemonade alongside three friends and decides to invite an additional friend to help.

The number of additional glasses of lemonade Estella and her four friends can produce will depend on several factors, such as the recipe's ingredients, the size of the glasses, and the capacity of the lemonade container.

Suppose each person can make a glass of lemonade using half a lemon, a tablespoon of sugar, and a cup of water.

To make five glasses of lemonade, Estella and her friends would need 2.5 lemons, 5 tablespoons of sugar, and 5 cups of water.

Suppose Estella has enough lemons, sugar, and water to make 20 glasses of lemonade, and each glass is eight ounces.

After inviting her friend to help, Estella and her four friends can make a total of 25 glasses of lemonade, which is an additional 5 glasses.If each person makes a glass of lemonade that is six ounces in size, Estella and her friends can produce 30 glasses of lemonade.

With an additional friend, they can make 35 glasses of lemonade, which is an additional 5 glasses.Suppose Estella's recipe only produces one glass of lemonade per person.

To learn more about : total

https://brainly.com/question/9879870

#SPJ8

The matching expressions are:

\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

for such more question on matching expressions

https://brainly.com/question/12270624

#SPJ8

Answer:

hi wyd

Step-by-step explanation:

I want to know how u did this summer 1 time ok

Answer:

a)0.519

b)requirements for constructing a confidence interval about p are satisfied.

c)0.488, and 0.550

d)yes this is because there is no possibility

that the true proportion is not captured in the confidence interval.

e)

0.450, 0.512

Step-by-step explanation:

a)The point estimate for the population proportion of adult Americans who believe that televisions are a luxury they could do without can be calculated as

521 of that adult that indicated that televisions are a luxury they could do without/1003 adults surveyed,

p = 521/1003

= 0.519.

b)

np(1-p)=1003×(0.519)×(1-0.519)

=250.39≥10 and the sample size is less than 5% of the population

therefore, requirements for constructing a confidence interval about p are satisfied.

c) we were given 95% confidence,

Then α=(1-0.95)

= 0.05

From the Z-tables,we can get the critical value is Z , which is (0.05/2) = Z (0.025) = 1.96

confidence interval can the be calculated using the formula below

- p ± Z*√ p (1 – p)/n

=0.519 ± 1.96√0.519×(1 – 0.519)/(1003)

= 0.519 ± 1.96×0.0158

0.519 ± 0.031

= 0.488, and 0.550

d) yes this is because there is no possibility

that the true proportion is not captured in the confidence interval.

e)the sample size can be calculated as

P=x/n

=(1003-521)/1003

=0.481

But we're given 95% confidence interval

Then

α=(1-0.95)=

0.05

From the Z-tables,we can get the critical value is Z , which is (0.05/2) = Z (0.025) = 1.96

Then convidence interval=

- p ± Z*√ p (1 – p)/n

=0.481 ± 1.96√0.481×(1 – 0.481)/(1003)

0.450, 0.512

Step-by-step explanation:

-13 x 4 = -52

-52 x 0.5 = -25

-2 x 0.5 = -1

-1 + -25 = -26

Answer:

C -1/2

Step-by-step explanation:

midpoint = sum of end points divide by 2.

here, midpoint = (-3+2)/2

=(-1/2)

Answer:

- 1 / 2

Step-by-step explanation:

→ Add the 2 numbers together

-3 + 2 = -1

→ Divide answer by 2

- 1 ÷ 2 = - 1 / 2 or - 0.5

Answer:

Isosceles right triangle

Answer:

It is a scalene triangle because 2 angles are equal and one angle is different .

Step-by-step explanation:

please mark as brainliest and follow me!!!!!...

Answer:

No roots

Step-by-step explanation:

the discriminant Δ = 12²-4×(-10)×(-9) = -216

since ∆ is negative then the equation -10x^2 + 12x − 9 = 0 has no solution .

Answer:

Sale Price = $42 (answer). This means the cost of the item to you is $42. You will pay $42 for a item with original price of $56 when discounted 25%. In this example, if you buy an item at $56 with 25% discount, you will pay 56 - 14 = 42 dollars.

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

The original price is $56.

The discount is 25% off.

To solve the equation, turn 25 into a decimal. The you multiply it by 56.

25 to a decimal = 0.25

56 * 0.25 = 14

The answer is 14. That means the thing that is being bought is $14 off.

So, you have to subtract 56 and 14.

56 - 14 = 42

Step-by-step explanation:

2+7+5+3+4=21

if there was a picture i could calculate the miles it would take if they went straight home instead of making turns

Answer:

Most likely B.}21 inches,

Please mark me brainliest

Answer:

The answer is B, 21 inches

Step-by-step explanation:

You find what happened with the width which is time 3. Then you multiply 7 by 3 to get 21!

Hopefully that helps! Please mark BRAINILEST

Answer:

d. 38

Step-by-step explanation:

AB = AD - BD = 54 - 36 = 18

AC = AB + BC = 18 + 20 = 38

Answer: -5/6

Step-by-step explanation: 53/6= 8 5/6 -5/6=8

Answer:

Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

Answer:

Pythagorean theorem:

a^2 + b^2 = c^2

12^2 + b^2 = 24^2

144 + b^2 = 576

b^2 = 432

b=20.8

Let me know if this helps!