Evaluate 4 + s × 12, where s= 1/2
(A) 6
(B) 10
(C) 24
(D) 54

Answer:

y + 8 = 0 (x + 9)

Step-by-step explanation:

y2 - y1 / x2 - x1

0 - (-8) / -9 - (-9)

8/0

0

y + 8 = 0 (x + 9)

Answer:

a=5 days, 3 hours

b= 3 people

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

656 x 106

We will round to nearest hundreds and then multiply.

106 is in between 100 and 200

100 --- 106 ---------------------------------------------------------------------------------------200

The nearest hundred?

It is 100.

Now,

656 is in between 600 and 700,

600 ------------------------------------------------------656-------------------------------------700

It is nearest to 700

So, the problem becomes

700 x 100

7 times 1 is 7, then we put the number of zeros, that is 4 of them, so

700 x 100 = 70000

Answer:

Distributive Property

Step-by-step explanation:

16(4x -1) = 16 · 4x - 16·1
16 is distributed across both terms and multiplied by each term

Answer:

A. 12 f12, 16 f12 and 28 f12

Step-by-step explanation:

The Pythagoras theorem states the addition of squares of the lengths of the two short sides of the right triangle is the same as the square of the length of the hypotenuse. Using the Pythagoras theorem, you may find the correct answer option A

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The area of the rhombus is 17.5 square inches.

The formula to find the area of a rhombus is:

Area = (diagonal1 x diagonal2) / 2

where diagonal1 and diagonal2 are the lengths of the diagonals.

diagonal1 = 7 inches and diagonal2 = 5 inches.

we can plug these values into the formula:

Area = (7 x 5) / 2

Area = 35 / 2

Area = 17.5 square inches

Therefore, the area of the rhombus is 17.5 square inches.

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Step-by-step explanation:

5(r + 9) - 2(1 - r) = 1

5r + 45 - 2 + 2r = 1

7r + 43 = 1

7r = -42

r = -6.

Answer:

r = -6

Step-by-step explanation:

Given equation,

→ 5(r + 9) - 2(1 - r) = 1

Now the value of r will be,

→ 5(r + 9) - 2(1 - r) = 1

→ 5r + 45 - 2 + 2r = 1

→ 5r + 2r + 43 = 1

→ 7r = 1 - 43

→ 7r = -42

→ r = -42/7

→ [ r = -6 ]

Hence, the value of r is -6.

-750 + 350x \(\geq\) 15000

and so it would take 45 weeks to make at least a 15000 dollar profit.

We know right away that the company's profit will be -750 dollars because they took out the loan. Every week then they will be gaining a positive 350 dollars of profit which we will add to that starting value of -750. This "350 per week" is a variable where x is the number of weeks. Due to us having to make at least 15000 dollar profit, we will use a greater than or equal to sign.

-750 + 350x \(\geq\) 15000

Now to solve we have to isolate x

-750 + 350x \(\geq\) 15000

350x \(\geq\) 15750

x \(\geq\) 45

45 weeks

Answer:

see explanation

Step-by-step explanation:

An ordered pair is a set of coordinates (x, y )

This can be o point on a graph or the solution to a system of equations or values from a table

Answer: It's a point on a graph (y,x)

Step-by-step explanation:

Answer:

(x-7)^2 + (y-9)^2 = 25

Step-by-step explanation:

The percentage of the bulbs that have lifetimes that lie within 2 population standard deviations to either side of the population mean is 95.00%.

To solve the problem, we can use the Empirical Rule or the 68-95-99.7 rule, which states that

Approximately 68% of the data falls within one standard deviation of the mean

Approximately 95% of the data falls within two standard deviations of the mean

Approximately 99.7% of the data falls within three standard deviations of the mean

In this case, we want to find the percentage of bulbs that have lifetimes within 2 standard deviations of the mean. We know that the population mean is 153 hours and the population standard deviation is 17 hours.

To find the range of lifetimes that is within 2 standard deviations of the mean, we can use the formula:

Range = mean ± (standard deviation × number of standard deviations)

So, the range of lifetimes that is within 2 standard deviations of the mean is

Range = 153 ± (17 × 2) = 119 to 187

Therefore, approximately 95% of the bulbs have lifetimes that lie within this range.

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Answer:

p = 2 + l w

Step-by-step explanation:

Answer:

To form a right triangle, one of the sides of the triangle must be the hypotenuse and the other two sides must be the legs. The hypotenuse is the longest side of a right triangle and the side opposite the right angle. In this case, the side with length 5x is the hypotenuse. Therefore, the sides with lengths 3x and 24 must be the legs.

We can use the Pythagorean Theorem to determine the value of x that will make this a right triangle. The Pythagorean Theorem states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, we have:

5x^2 = 3x^2 + 24^2

Solving for x, we get:

x = sqrt(24^2/(5^2 - 3^2)) = sqrt(576/16) = 6

Therefore, a value of x = 6 will make this a right triangle.

Step-by-step explanation:

Answer:

PT 1: C

PT 2: B

Step-by-step explanation:

In order to find the volume of a cone use equation

\(V=\pi r^2\frac{h}{3}\)

To find the volume of a cylinder use equation

\(V=\pi r^2h\)

Answer:

30%

Step-by-step explanation:

percentage = (discount/total amount)*100

= (8.40/28)*100=30%

Answer:

i cant see the words

Step-by-step explanation:

\(5n+n=n+n+n+n+n+n=6n\)

Hope this helped

Answer:

Red I think maybe we should try hi friends I am new to this app

The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

To prove that two angles in two triangles are congruent, you must use the Angle-Angle Postulate (AA).  The Angle-Angle Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are congruent.

Therefore, to prove that two angles in two triangles are congruent, you must first show that the two angles have the same measure. This can be done by using the Angle Addition Postulate or by using subtracting the measure of one angle from the measure of the other.

Three vertices and three sides make up a triangle, which is a polygon. The triangle's angles are created when the three sides are joined end to end at a point. The three angles of the triangle sum up to 180 degrees.

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The measured temperatures were 305°F, 310°F, 300°F, and 305°F. The hypothesis testing will compare the observed temperatures to the assumed normal distribution of actual temperatures when the control is set to 300°F.

The hypothesis being tested is denoted as H0, where μ represents the mean actual temperature when the electronic control is set to 300°F. The observed temperatures are compared to the assumed normal distribution to determine if they are significantly different. The hypothesis testing procedure involves calculating the sample mean of the observed temperatures and comparing it to the hypothesized mean of 300°F. Additionally, the variability of the observed temperatures is assessed using statistical methods such as the standard deviation.

Further steps would include determining an appropriate significance level (α) to define the threshold for accepting or rejecting the null hypothesis. This level of significance determines the probability of incorrectly rejecting the null hypothesis. Statistical tests such as a t-test or z-test can be employed depending on the sample size and known population parameters. By comparing the calculated test statistic to the critical value associated with the chosen significance level, a decision can be made regarding the calibration of the electronic control. If the test statistic falls within the critical region, the null hypothesis is rejected, indicating a need for calibration adjustment. Conversely, if the test statistic does not fall within the critical region, the null hypothesis is not rejected, suggesting that the electronic control is properly calibrated.

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Angie should price each cookie at approximately $3.63.

Cost and desired markup must be taken into account when calculating the cookie price.

Cost per treat:

Each cookie costs $2.

Markup:

Angie wants a markup of 65% on the price. We divide the cost of each cookie by the markup percentage to determine the markup:

Markup = 2 * 0.65 = $1.30

All out cost per treat:

The sum of the cost per cookie and the markup amount is the total cost per cookie:

The anticipated amount of waste: $3.30

Angie anticipates that nine percent of the cookies will break and be thrown away. Hence, 91% of the treats will be sold.

Anticipated squander = 0.09

Cost per treat:

To find the cost per treat, we partition the absolute expense per treat by the level of treats that will be sold:

Cost per treat = Absolute expense/(1 - Anticipated squander)

Cost per treat = 3.30/(1 - 0.09)

Cost per treat = 3.30/0.91

Cost per treat ≈ $3.63 (adjusted to the closest penny)

Along these lines, Angie ought to value every treat at roughly $3.63.

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Answer:

6:10

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

The dashes on the lines show they are equal in length.

Therefore, by inspection of the diagram, we can see that the measures of the sides of the smaller triangle (with base 5x) are half the measures of the sides of the larger triangle (with base 70).

Therefore, creating an equation with this information:

    5x = 1/2 x 70

⇒ 5x = 35

⇒ x = 7

Solution:

Note that:

This means that...

Simplify the equation and solve for x.

The value of x is 7.

The probability of having the disease given that the person tests positive twice depends on the prevalence of the disease and the accuracy of the test.

Assuming that a person is tested twice and the results are independent of each other, we can calculate the probability of having the disease given that the person tests positive twice. Let's say the probability of testing positive given that the person has the disease is p, and the probability of testing negative given that the person does not have the disease is q. Also, let's assume that the prevalence of the disease in the population is r.

The probability of testing positive twice given that the person has the disease is p^2. The probability of testing positive twice given that the person does not have the disease is (1-r)^2q^2. The probability of testing positive twice is the sum of these probabilities, which is p^2 + (1-r)^2q^2.

Now we can use Bayes' theorem to calculate the probability of having the disease given that the person tests positive twice. The formula is P(D|++) = P(++|D)P(D) / P(++), where P(D|++) is the probability of having the disease given that the person tests positive twice, P(++|D) is the probability of testing positive twice given that the person has the disease (p^2), P(D) is the prevalence of the disease (r), and P(++) is the probability of testing positive twice (p^2 + (1-r)^2q^2).

Substituting the values, we get P(D|++) = p^2*r / (p^2*r + (1-r)^2q^2). Therefore, the probability of having the disease given that the person tests positive twice depends on the prevalence of the disease and the accuracy of the test. If the prevalence of the disease is high and the test is accurate, then the probability of having the disease given a positive result is also high.

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