Within 3 hours, the temperature in Oceanside falls by 8 degrees. If the temperature is now at 67 degrees Fahrenheit, what was the temperature 3 hours ago?

Answer:

the answer is 1 and 3 true and other false

The value of f left parenthesis 3 right parenthesis is 45.

According to the statement

We have given that the F(x) = 5(x)^2

and we have to find the value when Sophia have a 3 right parenthesis.

So, Parenthesis are used in mathematical expressions to denote modifications to normal order of operations.

And now we have to find the value for 3 right parenthesis

And for this purpose we have to put the value X= 3 in the f(x) then

F(x) = 5(x)^2

F(3) = 5(3)^2

F(3) = 5*9

F(3) = 45.

here the value of 3 right parenthesis is 45.

So, The value of f left parenthesis 3 right parenthesis is 45.

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The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).

To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).

For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.

Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.

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In order to have an average speed of 6 miles per hour over the entirety of the trip, the man would need to travel 15 miles in the next 2 1/2 hours. This means that he would need to travel at a speed of 6 miles per hour for the remainder of the trip.

The probability that the mean weight of two fruits picked at random falls between 360 grams and 491 grams is approximately 0.9554 or 95.54%.

To solve this problem, we need to use the formula for the sampling distribution of the sample mean:

x' = μ/√n

where x' is the sample mean, μ is the population mean, and n is the sample size.

Given that the population mean is 443 grams and the standard deviation is 34 grams, we can calculate the standard error of the sample mean:

SE = σ/√n

  = 34/√2

  ≈ 24.04 grams

Now we need to standardize the sample mean to a standard normal distribution using the z-score formula:

z = (x' - μ)/SE

The probability that the sample mean falls between 360 grams and 491 grams is equivalent to the probability that the z-score falls between:

z = (360 - 443)/24.04 ≈ -3.45 and z = (491 - 443)/24.04 ≈ 1.99

Using a standard normal table or calculator, we can find the probability that the z-score falls between -3.45 and 1.99, which is approximately 0.9554.

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To solve the given equation, we need to complete the square. First, we can factor out 4 from the equation to get 4(x^2 - 1/4x) = 0. To complete the square, we need to add (1/2)^2 = 1/16 to both sides of the equation. This gives us 4(x^2 - 1/4x + 1/16) = 1. We can simplify this to (2x - 1/2)^2 = 1/4.

Taking the square root of both sides gives us 2x - 1/2 = ± 1/2. Solving for x, we get x = 1/4 or x = 0. Therefore, the smaller value of x is 0 and the larger value of x is 1/4. Completing the square helps us find the values of x that satisfy the equation by manipulating it into a form that can be more easily solved.
To solve the equation 4x² - x = 0 by completing the square, follow these steps:

1. Divide the equation by the coefficient of x² (4): x² - (1/4)x = 0
2. Take half of the coefficient of x and square it: (1/8)² = 1/64
3. Add and subtract the value obtained in step 2: x² - (1/4)x + 1/64 = 1/64
4. Rewrite the left side as a perfect square: (x - 1/8)² = 1/64
5. Take the square root of both sides: x - 1/8 = ±√(1/64)
6. Solve for x to find the two values: x = 1/8 ±√(1/64)

The smaller value: x = 1/8 - √(1/64)
The larger value: x = 1/8 + √(1/64)

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Answer:

7 feet

Step-by-step explanation:

10 - 3 = 7

Answer:

164+3.28

Step-by-step explanation:

(16.4)(10)+(16.4)(0.2)

164+3.28

167.28

The weaker inequality 1/2 · 3/4 ··· 2n-1/2n < 1/√(3n) holds for all positive integers n, but using mathematical induction, the basis step works, although the inductive step fails.

a) If we try to prove the inequality 1/2 · 3/4 ··· 2n-1/2n < 1/√(3n) using mathematical induction, we can see that the basis step works. When n = 1, we have 1/2 < 1/√3, which is true.

Now, let's consider the inductive step. Assuming that the inequality holds for some positive integer k, we need to show that it also holds for k+1, i.e., we assume 1/2 · 3/4 ··· 2k-1/2k < 1/√(3k) and we want to prove 1/2 · 3/4 ··· 2k-1/2k · (2k+1)/(2k+2) < 1/√(3k+3).

If we attempt to manipulate the expression, we can simplify it to (2k+1)/(2k+2) < 1/√(3k+3). However, we cannot proceed further to prove this inequality, as it is not necessarily true. Therefore, the inductive step fails, and we cannot establish the original inequality using mathematical induction.

b) However, mathematical induction can still be used to prove the stronger inequality 1/2 · 3/4 ··· 2n-1/2n < 1/√(3n+1) for all integers greater than 1. We can start by verifying the case where n = 1, which gives us 1/2 < 1/√4, which is true.

Now, assuming the inequality holds for some integer k, we can multiply both sides of the inequality by (2k+3)/(2k+2) to get:

(1/2 · 3/4 ··· 2k-1/2k) · (2k+3)/(2k+2) < 1/√(3k+1) · (2k+3)/(2k+2).

Simplifying the expression on both sides, we have:

(2k+3)/(2k+2) < 1/√(3k+1) · (2k+3)/(2k+2).

We can observe that the right side of the inequality is less than 1/√(3k+3) by multiplying the denominator of the right side by (2k+3)/(2k+3). Hence, we obtain:

(2k+3)/(2k+2) < 1/√(3k+3).

This establishes the inequality for k+1, and thus, we have proven the stronger inequality using mathematical induction.

By verifying the case where n = 1 separately, we can conclude that the weaker inequality 1/2 · 3/4 ··· 2n-1/2n < 1/√(3n) holds for all positive integers n, as it follows from the proven stronger inequality using mathematical induction.

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Answer:

y>2x+8:  Dashed    x+1/2y is less than or equal to 12:  Solid      y is greater than or equal to 2/3x-6:  Solid     -4x+2y<10:  Dashed

Step-by-step explanation:

If there is a < or > sign, it is dashed, because the answer you get is not part of the solution (it is either less than or greater than the solution). If it is a less than or greater than or equal to sign (with the line under it) the line will be solid because the answer you get is part of the solution.

The boundary line will not be included in the solution set. Therefore, the boundary line will be dashed. The table shows the following:

Dashed if the boundary line is not included in the solution set.

Solid if the boundary line is included in the solution set.

The inequalities that will have a dashed boundary line are:

y > 2x + 5

x + y ≤ 12

The inequalities that will have a solid boundary line are:

y ≤ 2x - 6

-4x + 2y - 10 ≤ 0

Here is an explanation of why each inequality will have the boundary line that it does:

y > 2x + 5

This inequality is not equal to 2x + 5, so the boundary line will not be included in the solution set. Therefore, the boundary line will be dashed.

x + y ≤ 12

This inequality is equal to x + y ≤ 12, so the boundary line will be included in the solution set. Therefore, the boundary line will be solid.

y ≤ 2x - 6

This inequality is equal to y ≤ 2x - 6, so the boundary line will be included in the solution set. Therefore, the boundary line will be solid.

-4x + 2y - 10 ≤ 0

This inequality is not equal to -4x + 2y - 10, so the boundary line will not be included in the solution set. Therefore, the boundary line will be dashed.

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The total probability of a girl having a "K-name" is 3/8. The total probability of there being a girl in the club is 5/8.

Therefore, the conditional probability of having a girl with a "K-name" given that there is a girl in the club can be calculated as follows:

P (Girl | K-name) = P (K-name | Girl) × P (Girl) / P (K-name) = 2/5 * 5/8 / 3/8 = 2/3

Therefore, the probability of a girl with a K-name given that there is a girl in the club is 2/3.

In a club consisting of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve, and Samuel), we are asked to find P(Girl | K-name).

We can use Bayes' theorem to calculate the conditional probability of this event. This theorem states that the probability of an event given another event can be calculated as the product of the probability of the second event Therefore, the probability of a girl having a "K-name" given that there is a girl in the club is 2/3.

The conditional probability of there being a girl in the club given that a girl has a K-name is 2/3.

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The woman tells Lela and Devon that she's sorry because she feels bad that her children took the ring.

The woman's apology could stem from a sense of responsibility and guilt for her children's actions. She may feel remorseful because her children took the ring without her knowledge or permission. She could feel a sense of personal accountability for their behavior as their parent, believing that she should have been more vigilant or instilled better values in them.

Additionally, the woman's apology might also be driven by her empathy and understanding of the impact the incident has had on Lela and Devon. She could be aware of the emotional distress caused by the loss of the ring and genuinely regretful that her children were involved in the situation.

By apologizing, the woman may be expressing her regret and remorse for the unfortunate events surrounding the ring. It signifies her recognition of the wrongdoing and a desire to convey empathy and understanding towards Lela and Devon.

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Answer:

15:00 PM and 3:00 PM ,they mean the same exact thing

Step-by-step explanation:

Answer:

(A)

Step-by-step explanation:

(2.45+1.65)c-x=4.12

Given that,

The equation of line is y=7/5x+ 6 and that passes through the point (2,-6).

To find,

The equation of line that is perpendicular to the given line.

Solution,

The given line is :

y=7/5x+ 6

The slope of this line = 7/5

For two perpendicular lines, the product of slopes of two lines is :

\(m_1m_2=-1\\\\m_2=\dfrac{-1}{7/5}\\\\=\dfrac{-5}{7}\)

Equation will be :

y=-5x/7+ b

Now finding the value of b. As it passes through (2,-6). The equation of line will be :

\(-6=\dfrac{-5}{7}(2)+b\\\\ -6=\dfrac{-10}{7}+b\\\\b=-6+\dfrac{10}{7}\\\\b=\dfrac{-32}{7}\)

So, the required equation of line is :

y=-5x/7+ (-32/7)

\(y=\dfrac{-5x}{7}-\dfrac{-32}{7}\)

Answer:

one-hundred and seventy-five and four hundreths

Step-by-step explanation:

Answer:

Third one

Step-by-step explanation:

y=x+3

Answer:

Let's define x as the number of text messages send.

y as the number of 1,000 minutes talk per month.

(so we can write y = N/1000) where N is exactly the number of minutes that you talked that month.

> The equation for Dash is:

C1(x, y) = $80

>The equation for AB&C

C2(x,y) = $0,20*x + $55*y

> Horizon

C3(x,y) = $0.10*x + $75*y.

Now, which company you should go for?

Well, it depends on the values of x and y that you have.

if in your case you have x > y, you may want to go with Horizon, because the price per text is smaller.

if you usually talk, you may want to go with AB&C because the slope for y is smaller.

If you send a lot of texts and talk a lot, then Dash is the best option, because there is no dependence with the variables x, y

The total number of seeds that Josiah would plant would be = nR×S

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

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The property of real numbers illustrated by the equation 21 + 19.7 - 19.7 = 21 is the additive identity property.

The additive identity property states that the sum of any number and zero is equal to the original number. In the given equation, the number 21 is added to 19.7 and then subtracted by 19.7. The result is equal to 21, which is the original number.

In this case, the number 0 acts as the additive identity. When we add or subtract zero to any number, it doesn't change the value of the original number. So, in the equation, the subtraction of 19.7 and addition of 19.7 cancel each other out, leaving the original number 21.

Thus, the equation 21 + 19.7 - 19.7 = 21 illustrates the additive identity property, showing that adding or subtracting zero does not change the value of a number.

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The sum of the first 10 terms of the given geometric series is 1,953,124.

In a geometric series, each term is obtained by multiplying the previous term by a constant ratio. Let's denote the first term of the series as 'a' and the common ratio as 'r'. We are given that the 4th term is -250 and the 9th term is 781,250. Using this information, we can write the following equations:

a * \(r^3\) = -250    (equation 1)

a * \(r^8\) = 781,250  (equation 2)

Dividing equation 2 by equation 1, we get:

\((r^8) / (r^3)\) = (781,250) / (-250)

\(r^5\) = -3,125

r = -5

Substituting this value of 'r' into equation 1, we can solve for 'a':

a * \((-5)^3\) = -250

a * (-125) = -250

a = 2

Now that we have determined the values of 'a' and 'r', we can find the sum of the first 10 terms using the formula:

Sum = a * (1 - \(r^{10}\)) / (1 - r)

Substituting the values, we get:

Sum = 2 * (1 - \((-5)^{10}\)) / (1 - (-5))

Sum = 2 * (1 - 9,765,625) / 6

Sum = 2 * (-9,765,624) / 6

Sum = -19,531,248 / 6

Sum = -3,255,208

Therefore, the sum of the first 10 terms of the geometric series is -3,255,208.

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The type of set that allows you to position rollers diagonally and set from multiple points of origin is an oblong set.

An oblong set is a type of parallel set consisting of two parallel rectangular bars or blocks, with rollers positioned diagonally between them. The oblong shape of the set allows for the rollers to be positioned at a diagonal angle, which can be useful when setting up workpieces that need to be adjusted at an angle or from multiple points of origin.

In contrast, a half oval set and a half circle set are both types of circular sets that consist of rollers positioned in a semi-circular shape. These types of sets are useful for supporting workpieces that have a curved or circular shape, but they do not provide the flexibility to position rollers at a diagonal angle or from multiple points of origin.

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The expression f(x + h) - f(x) h/h can be evaluated using the given function f(x) = 3x + 2. The expression simplifies to 3h + 3 when f(x) = 3x + 2 is substituted into it.

To explain further, let's break down the expression step by step.

First, we substitute f(x) with its given expression 3x + 2:

f(x + h) - f(x) = (3(x + h) + 2) - (3x + 2)

Next, we simplify the expression:

= 3x + 3h + 2 - 3x - 2

The x terms cancel out, and the constant terms cancel out as well:

= 3h

Finally, we divide the expression by h/h to maintain the integrity of the expression while cancelling out the h in the denominator:

= 3h + 3

Therefore, when f(x) = 3x + 2 is used, the given expression simplifies to 3h + 3.

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The real area of the terrace is 300 square meters. If the scale of the drawing is 1:200, it means that 1 cm on the drawing represents 200 cm in real life. Therefore, to find the real dimensions of the terrace.

We need to multiply the dimensions on the drawing by 200.

The length of the terrace in real life is:

7.5 cm x 200 = 1500 cm

The width of the terrace in real life is:

10 cm x 200 = 2000 cm

The area of the terrace in real life is:

1500 cm x 2000 cm = 3,000,000 cm²

To convert the area to square meters, we need to divide by 10,000 (since 1 m² = 10,000 cm²):

3,000,000 cm² ÷ 10,000 = 300 m²

Therefore, the real area of the terrace is 300 square meters.

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To compare the two different numbers 12 and 23 using different sentences are :

a. Twelve is less than twenty three or twenty three is greater than twelve.

b. 12 < 23 or 23 > 12.

Choose two numbers:

Let the numbers be 12 and 23.

Two different sentence to compare the considered numbers we have,

First method is using words.

a. twelve is less than twenty three.

Twenty three is greater than twelve.

Second method is symbolic method :

b. 12 < 23

'<' symbol represents less than.

23 > 12

'>' symbol represents the greater than.

Therefore, using two different method to compare two numbers are :

a. Word method : Twelve is less than twenty three or twenty three is greater than twelve .

b. Symbolic method : 12 < 23 or 23 > 12.

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By solving this system, we can find the value of a for which v is in the set H.

To find the value of a for which v is in the set H, we need to check if v can be expressed as a linear combination of the vectors in H.
Let's denote the vectors in H as v1, v2, and v3:
v1 = ⎣ ⎡ ​ -5 -4 1 -1 ​ ⎦ ⎤ ​
v2 = ⎣ ⎡ ​ 0 -3 -5 -4 ​ ⎦ ⎤ ​
v3 = ⎣ ⎡ ​ 0 0 4 -5 ​ ⎦ ⎤ ​
We can express v as a linear combination of these vectors as follows:
v = c1 * v1 + c2 * v2 + c3 * v3
Substituting the given values of v:
⎣ ⎡ ​ 5 a -19 3 ​ ⎦ ⎤ ​ = c1 * ⎣ ⎡ ​ -5 -4 1 -1 ​ ⎦ ⎤ ​ + c2 * ⎣ ⎡ ​ 0 -3 -5 -4 ​ ⎦ ⎤ ​ + c3 * ⎣ ⎡ ​ 0 0 4 -5 ​ ⎦ ⎤ ​
To find the values of c1, c2, and c3, we can set up a system of equations. Solving this system will give us the value of a:
5 = -5c1
a = -4c1 - 3c2
-19 = c1 + 4c2 + 4c3
3 = -c1 - c2 - 5c3
By solving this system, we can find the value of a for which v is in the set H.

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Answer:

A) solutions (1,-2) & (-1,-8)

Step-by-step explanation:

i just used desmos, so im sorry that im not able to explain

Answer:

g(-9)+h(-9)=59

the answer is B

Answer:

8000 (Estimated) and the real difference would be 7934

Step-by-step explanation:

An estimated difference would be 8000, we get this number by subtracting 23,000 from 31,000 to make the subtraction much faster. The real answer to this would be 7934 which is pretty close to 8000 which is the estimation

The solution to the inequality -32 < -4x is x < 8.

Given the inequality in the question:

-32 < -4x

To solve the inequality -32 < -4x, we need to isolate the variable x.

-32 < -4x

Divide both sides of the inequality by -4.

Note that, if we are dividing by a negative number, the direction of the inequality sign will flip.

Hence:

-32 / -4 > -4x / -4

-32 / -4 > x

8 > x

Next, rewrite the inequality in the standard form, with x on the left side.

x < 8

Therefore, x < 8 is the solution to the inequality.

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