f(2) if f(x) = (x + 1)2

Answer:

5

Step-by-step explanation:

3(2x+1)=7x-2

6x + 3 = 7x - 2

6x - 7x = -2 - 3

-x = -5 /(-1)

x = 5

Answer:

5

Step-by-step explanation:

3 ( 2x + 1 ) = 7x - 2

Step 1 : Remove the parentheses

6x + 3 = 7x - 2

Step 2 : Move the variable to the left-hand side and move extra number the right-hand side

6x + 3 = 7x - 2

-7x  -3   -7x  -3

6x - 7x = -2 - 3

Step 3 : Combine like terms

-x = -5

Step 4 : Change the sign to make x positive

x = 5

SOLUTION : x = 5

Hope this helps :)

The gardner is correct Because the total distance traveled by the roller is greater than the length of the bowling green.

A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

For the gardener to be correct,

8×Perimeter of the roller = Length of the bowling green

Therefore,

Let use first find the perimeter of the roller

Where:

Substitute these values into equation 1

For 8 full rotation,

Comparing the distance for 8 revolution of the roller with the length of the bowling green,

Therefore, the gardner is correct

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Answer:

2 2/9

Step-by-step explanation:

6-4=2

1/3 is equal to 3/9

3/9-1/9=2/9

Combine them

2 2/9

Hope it Helps!

The null and alternative hypotheses can be stated as follows:

c. H0: µ = 12, Ha: µ ≠ 12

The null hypothesis (H0) assumes that the population mean content of the bottles is 12 ounces, indicating perfect adjustment of the filling machine. The alternative hypothesis (Ha) states that the population mean content is not equal to 12 ounces, suggesting that the machine is not in perfect adjustment.

The rejection region for α = 0.01 can be specified as:

c. |t| > 2.68

This means that we would reject the null hypothesis if the absolute value of the calculated t-statistic is greater than 2.68.

To calculate the p-value, we need the t-statistic corresponding to the sample mean and standard deviation. With a sample mean of 11.88 ounces, a standard deviation of 0.35 ounces, and a sample size of 49, we can calculate the t-statistic. The p-value represents the probability of observing a sample mean as extreme as the one obtained, assuming the null hypothesis is true.

The p-value cannot be determined without the t-statistic value or the corresponding degrees of freedom.

Without the p-value, we cannot draw a definitive conclusion. To make a conclusion, we would compare the calculated t-statistic to the critical t-value based on the chosen significance level (α = 0.01). If the calculated t-statistic falls within the rejection region (|t| > 2.68), we would reject the null hypothesis. If the calculated t-statistic falls outside the rejection region, we would fail to reject the null hypothesis.

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Answer:

900 meters long

Step-by-step explanation:

Toby is riding his bicycle at 15 m/s. If it takes him 60 seconds to get to the end of the street. What was the length of the street?

at 15 meters per second for 60 seconds:

= time * speed

60* 15= 900 meters traveled,

so the street is 900 meters long.

Answer:

Step-by-step explanation:

the absolute value of a number is the positive number, meaning the absolute value of these would be |-6| = 6, |-9|=9 |-14|=14 |0|=0

so the answer would be: |-14|, |-9|, |-6|, |0|

the only time it wouldn't be positive is when the negative sign is on the outside. (-|9|=-9 etc.)

Answer:

X=14 , 5 , 2.5 , 9 , 5 , 15 , -2 ,-2 ,-10 , 13 ,- 3 , -11 , 0 , 0.5833..., -1.666....

\(3(9z+4) > 35z - 4\)

\(27z + 12 > 35z - 4\)

\(12 + 4 > 35z - 27z\)

\(16 > 8z\)

\( \frac{16}{8} > z\)

\(2 > z\)

Answer:

Factor the polynomial.

ANSWER:x(x-3)(x-2)

Step-by-step explanation:

To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

On solving the provided question we can say that by herons formula, area of the triangle is, A = 2.828

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

the provided points are Triangle X(1, 6), Y(5, -2), Z(-5, -1)

by herons formula

A = \(\sqrt{s(s-a)(s-b)(s-c)}\)

s = a+b+c/3

s = 5+2+5+/3 =12/3 = 4

Area of the triangle is, A =

\(\sqrt{4(5-4)(4-2)(5-4)} \\A = \sqrt{4*1*2*1} \\A = \sqrt{8} \\A = 2\sqrt{2}\\ A = 2*1.414\\A = 2.828\)

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Answer:

2.828

Step-by-step explanation:

Conditional probability, denoted as P(A|B), represents the probability of event A occurring given that event B has occurred. If events A and B are independent, P(A|B) = P(A) and P(B|A) = P(B).

The notation P(A|B) reads the probability of Event (A occurring given that Event B has occurred). If two events are independent, then the probability of one event occurring (does not affect the probability of the other event occurring). Events A and B are independent if (P(A|B) = P(A), P(B|A) = P(B), P(A|B) = P(B|A)).

To understand the relationship between conditional probability and independent events, let's consider two events A and B. The conditional probability P(A|B) represents the probability of event A occurring given that event B has already occurred. It measures the likelihood of event A happening under the condition that event B has already taken place.

On the other hand, if two events A and B are independent, it means that the occurrence or non-occurrence of one event has no effect on the probability of the other event happening. In other words, the probability of event A happening is not influenced by the occurrence or non-occurrence of event B, and vice versa.

Mathematically, if events A and B are independent, it implies that P(A|B) = P(A) and P(B|A) = P(B). This means that the probability of event A occurring is the same whether or not event B has occurred, and the probability of event B occurring is the same whether or not event A has occurred.

Therefore, the concepts of conditional probability and independent events are related in the sense that if two events are independent, the conditional probabilities P(A|B) and P(B|A) become equal to the unconditional probabilities P(A) and P(B) respectively.

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Answer:

the awnser is that Bently is 6 And Ashton is 4

Step-by-step explanation:

the reason I get this awnser is because it says that bently is 2 years older than Ashton and 3 times so you think what can be times 3 so the first awnser i got was 6 because 6 times 3 equals 18 so then I subtracted 2 from that to create the number of 6 for Bentley and 4 for Ashton

Answer:

Step-by-step explanation:

11m

The correct statement is: µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is approximately Normal.

In statistics, a distribution refers to the way in which a set of data is spread out or distributed across its possible values. In other words, a distribution describes how frequently different values occur in a dataset.

Given by the question.

µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is skewed right.

µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is skewed left.

µ pˆ = 0.1; σ pˆ= √ [(0.1) (0.9)/25]; the distribution is approximately Normal.

µ pˆ = 0.1; we cannot use the formula σ pˆ = √ [(0.1) (0.9)/25]; the distribution is not approximately Normal.

µ pˆ = 0.1; we cannot use the formula σ pˆ = √ [(0.1) (0.9)/25]; the distribution is approximately Normal.

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The company's profit would be -66 dollars if the app price is set to 0 dollars. This means that the company would incur a loss of 66 dollars.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

To find the company's profit when the app price is 0 dollars, we need to evaluate the expression P(x) when x = 0:

P(0) = -2(0-3)(0-11) = -2(-3)(-11) = -2(33) = -66

Therefore, the company's profit would be -66 dollars if the app price is set to 0 dollars. This means that the company would incur a loss of 66 dollars.

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1. Find the graph of the parabola attached below

2. Vertex (-4, 2)   Focus (-7/2, 2)  Directrix (x = -9/2)  Endpoints (-7/2, 1) (-7/2, 3)

For the parabola,  x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,

Vertex → (h, k)

In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴  vertex (-4, 2).

focus → (h, k) = (-4, 2); P = 1/2

Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.

∴  Focus is (-4 + p, 2)

(-4 + 1/2, 2) ⇒ (-7/2, 2)

directrix → x = d

Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.

∴ x = -4 - p   ⇒ x = -4 - 1/2

x = 9/2

focal chord endpoints →

The focus of the parabola is (-7/2, 2).

The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.

Therefore, the endpoints of the focal chord are:

(-7/2, 3) and (-7/2, 1).

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First subtract the difference between the two:

200 - 50 = 150

Now divide that by 2:

150/2 = 75

Bills share is $75

Now add the $50 to 75 to get Ann's share:

75 + 50 = $125

Ann's share is $125

Bill's share is $75

The property used here is the associative property of Multiplication.

According to the Associative property, when 3 or more numbers are added or multiplied, the result (sum or the product) remains the same even if the numbers are grouped in a different way. Here, grouping is done with the help of brackets. This can be expressed as, a × (b × c) = (a × b) × c and a + (b + c) = (a + b) + c.

Given here: 2(5⋅33)=(2⋅5)⋅33

                                =10(33)

                                 =330

Clearly the property a × (b × c) = (a × b) × c is used here

Hence, The property used here is the associative property of Multiplication.

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Given:

The first customer paid $17 for 7 small envelopes  and 3 memo pads.

The second customer paid $28.75 for 12 small  envelopes and 5 memo pads.

To find:

The cost in dollars of each memo pad.

Solution:

Let x be the cost of each small envelop and y be the cost of each memo pad.

The first customer paid $17 for 7 small envelopes  and 3 memo pads.

\(7x+3y=17\)         ...(i)

The second customer paid $28.75 for 12 small  envelopes and 5 memo pads.

\(12x+5y=28.75\)    ...(ii)

Multiply equation (i) by 12 and equation (ii) be 7 to get same coefficient of x.

\(84x+36y=204\)         ...(iii)

\(84x+35y=201.25\)    ...(iv)

Subtracting (iv) from (iii), we get

\(84x+36y-84x-35y=204-201.25\)

\(y=2.75\)

Therefore, the cost of each memo pad is $2.75.

Answer: neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1

Step-by-step explanation:

Areas under the graphs:

Graph A

\((1)(0.5)+(7-2)(0.2)=1.5\\\\\)

Graph B

\(\frac{\pi}{2}(1^{2})=\frac{\pi}{2}\)

As neither of these graphs have an area of 1, neither of them are density curves.

The statement - "neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1" is true.

A few fundamental principles apply to density curves:

Neither curve of Graph A nor of Graph B has the area under the curve summed up as 1, though the curve is above the horizontal axis.

Hence, because neither graph has an area of 1, even if both curves are above the horizontal axis, the statement "neither graph A nor graph B, because, even though both curves are above the horizontal axis, neither graph has an area of 1" is true.

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Answer:

refer to the pic attached for steps

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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Answer:

here ur answer 4/9

Answer:

  80 days

Step-by-step explanation:

For each of the 5 meat choices, there are 4 vegetable choices, so a total of 5·4 = 20 meat/vegetable combinations.

For each of those, there are 4 sauce choices, so a total of ...

  20·4 = 80

meat/vegetable/sauce combinations.

If a different one is ordered each day, it will take Alex 80 days before he must repeat an order.