CASLAN what i 56+95X4567/9

Answer:

Hey there!

p(x)=7x+25

7x+25=60

7x=35

x=5

Let me know if this helps :)

We get the values of y in the table by replacing the value of x in the equation.

Here we have the equation

y = x² - 3x - 6.

In the question, we are given a table where the value of x ranges from - 3 to 6. Some points have the value of y given and some need to be filled.

Hence we need to fill in the values of y for -2, 0, 1, 2, 3, and 5

Fitting the value of x in -3 we get

y = (-3)² - 3(-3) - 6

= 9 + 9 - 6 = 12

for x = -2

y = (-2)² - 3(-2) - 6

= 4 + 6 - 6 = 4

for x = -1

y = (-1)² - 3(-1) - 6

= 1 + 3 - 6 = -2

Similarly, for 0 we have

y = (0)² - 3(0) - 6

= -6

for x = 1

y = (1)² - 3(1) - 6

= 1 - 3 - 6 = -8

for x = 2

y = (2)² - 3(2) - 6

= 4 - 6 - 6 = -8

for x = 3

y = (3)² - 3(3) - 6

= 9 - 9 - 6 = -6

for x = 5

y = (1)² - 3(1) - 6

= 25 - 15 - 6 = 4

Hence we get the table

x     -3    -2    -1     0    1    2    3    4    5    6

y     12    4     -2   -6   -8  -8   -6  -2    4    12

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Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

The nurse is responsible for giving Medication G in a quantity of 30 mL, which is approximately equivalent to 1.014 fluid ounces.

First, we need to convert 0.6 g to mg:

0.6 g = 600 mg

Next, we need to calculate how many mL are needed to deliver 600 mg of Medication G. From the label, we know that there are 100 mg of Medication G in 5 mL, so we can set up a proportion:

100 mg / 5 mL = 600 mg / x mL

Cross-multiplying, we get:

100x = 5 * 600

Simplifying, we get:

x = 30 mL

Finally, we can convert 30 mL to fluid ounces. There are 29.5735 mL in one fluid ounce, so:

30 mL / 29.5735 mL/oz ≈ 1.014 fl oz

Therefore, the nurse should administer 30 mL (or approximately 1.014 fluid ounces) of Medication G.

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As the firm develops a specific sort of sensor and ships them in boxes of four, each sensor weighed 10 grams at first.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.

Here,

Let's call the original weight of each sensor "w". The total weight of 4 sensors would be 4w.

With the new design, each sensor weighs 9 grams more, so each sensor weighs w + 9 grams. The total weight of 4 sensors is 76 grams, so we can write an equation:

4(w + 9) = 76

Expanding the left-hand side and solving for w, we have:

4w + 36 = 76

4w = 40

w = 10

So each sensor originally weighed 10 grams as company manufactures a special type of sensor, and packs them in boxes of 4 for shipment.

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The probability is 0.01087 (rounded to five decimal places).

Let's first consider the possible positions the piece can be in after 8 moves. Since the piece can only move up or to the right, it can be in any position on the line that goes from the starting position (lower left corner) to the upper right corner of the grid. Since there are 8 moves, this line consists of 9 points. We can count the number of ways the piece can get to each of these points using combinations.

For example, to get to the point that is 4 inches up and 4 inches to the right of the starting position, the piece must move up 4 times and to the right 4 times, in any order. This is equivalent to choosing 4 moves out of the 8 total moves to be "up" moves, which can be done in C(8,4) = 70 ways. Similarly, the number of ways to get to each of the other 8 points on the line can be calculated using combinations.

Now we need to find the number of ways the piece can end up at a point that is exactly 4 inches away from the starting position. There are two such points on the line, which are 4 inches up and 4 inches to the right, and 4 inches to the right and 4 inches up, respectively. The total number of ways the piece can get to either of these points is C(8,4) + C(8,4) = 140.

Therefore, the probability that the center of the piece will be exactly 4 inches away from where it started after 8 moves is 140 divided by the total number of ways the piece can end up, which is C(8+8,8) = C(16,8) = 12,870.

The probability is therefore:

P = 140/12,870 = 0.01087 (rounded to five decimal places).

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The first five terms of the sequence are {-9, 54, -324, 1944, -11664}.Hence, the first five terms of the sequence are {-9, 54, -324, 1944, -11664}.

Given that a1 = -9 and an = -6an-1 to find the first five terms of an: {a1, a2, a3, a4, a5}

We have to use the formula an = -6 an-1 to find the next terms.

The first term a1 is given to us. So, a1 = -9

We can use the formula an = -6an-1 to find the next term using a1= -9 an1 = -6 * a1 = -6 * (-9) = 54

Thus the first two terms of the sequence are {-9, 54}.

We can use the formula an = -6an-1 to find the third term an2 = -6 * an1= -6 * 54 = -324

Thus the first three terms of the sequence are {-9, 54, -324}.

We can use the formula an = -6an-1 to find the fourth term an3 = -6 * an2= -6 * (-324) = 1944

Thus the first four terms of the sequence are {-9, 54, -324, 1944}.

We can use the formula an = -6an-1 to find the fifth term an4 = -6 * an3= -6 * (1944) = -11664

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Answer:

domain) all real numbers

range) all real numbers

Step-by-step explanation:

y=15-9x

there are no illegal values for x that would make the equation invalid so domain is all real numbers

this line is not flat so range is also all real numbers

Answer:

B, C and E

Step-by-step explanation:

Given

See attachment for table

Required

Select two correct options

Checking the greatest maximum

The maximum of each function is:

\(f(x) = 14\)

\(g(x) = 49\)

\(h(x) = 0\)

Compare these three values, we have:

\(g(x) > f(x) > h(x)\)

Because:

\(49 > 14 > 0\)

This means that g(x) has the greatest maximum --- option E

Checking the x intercept

When a function equals 0, then it has an x intercept

Of the three functions, we have:

\(f(0) = 0\)

\(h(0) = 0\)

g(x) do not equal 0, at all

This means that only f(x) and h(x) have x intercept --- option B

Checking the least maximum

The minimum of each function is:

\(f(x) = -14\)

\(g(x) = \frac{1}{49}\)

\(h(x) = -28\)

Compare these three values, we have:

\(h(x) < f(x) < g(x)\)

Because:

\(-28 < -14 < \frac{1}{49}\)

This means that h(x) has the least minimum --- option C

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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The distance traveled is equal to sin^2(θ), as seen before.

To find the distance traveled by a particle with position (x, y) as t varies in the given time interval, we need to first find the parametric equations for x and y in terms of t, and then compute the arc length of the curve.

Given x = sin^2(t) and y = cos^2(t), we first find the derivatives of x and y with respect to t:
dx/dt = 2 * sin(t) * cos(t)
dy/dt = -2 * sin(t) * cos(t)

Next, we compute the square root of the sum of the squares of the derivatives:
sqrt((dx/dt)^2 + (dy/dt)^2) = sqrt((2 * sin(t) * cos(t))^2 + (-2 * sin(t) * cos(t))^2) = sqrt(4 * sin^2(t) * cos^2(t) + 4 * sin^2(t) * cos^2(t)) = 2 * sin(t) * cos(t)

Now, we can find the distance traveled by integrating the above expression with respect to t over the given time interval (0, θ):

Distance traveled = ∫(2 * sin(t) * cos(t) dt) from 0 to θ

Using the substitution u = sin(t), du = cos(t) dt, we get:

Distance traveled = ∫(2 * u du) from 0 to sin(θ)

Now, integrating with respect to u, we get:

Distance traveled = u^2 | from 0 to sin(θ) = (sin^2(θ)) - (0^2) = sin^2(θ)

The length of the curve can be computed as the arc length:

Length of the curve = ∫(2 * sin(t) * cos(t) dt) from 0 to θ

As we computed earlier, the distance traveled is equal to sin^2(θ). Therefore, the distance traveled by the particle is the same as the length of the curve.

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Answer:

42 cm

Step-by-step explanation:

the first triangle is 7 times bigger than the second triangle. ( 4 x 7 = 28)

so to find out line EG, you times 6 cm by 7. which is 42

The answer is C. 1/10 of a centimeter.

Answer:

19.) \(\frac{y^3}{2x^{2} }\)

20.) \(\frac{3s}{7t^3}\)

21.) \(23a^9b^8\)

22.) \(34x^8y^{14}\)

Step-by-step explanation:

Glad to help

--Chris Jackson [High School Junior: Calculus Senior Honor Student]

Answer:

Step-by-step explanation:

Coco

My fav movie?

Space Jam 2

Prob since I’ma basketball fan :)))

The time when the two airplanes will be at the same altitude is in 6 minutes.

The altitude is 18000m.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

The airplane is preparing to land at an airport and it is 33,600 feet above the ground and is descending at the rate of 3,100 feet per minute. This will be:

= 33600 - 3100m

At the same airport, another airplane is taking off and will ascend at the rate of 2,500 feet per minute. This will be 2500m.

Equate them together

33600 - 3100m = 2500m

Collect like terms

2500m + 3100m = 33600

5600m = 33600

Divide

m = 33600 / 5600

m = 6

From 33600 - 3100m

Put m = 6

33600 - 3100(6)

33600 - 18600

= 18000

Altitude is 18000m

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Answer:

I think the answer is 25 feet

Step-by-step explanation:

5 / 7.25 = .6896551724

.6896551724 x 36.25 = 25

Answer:

We are given the system of equations:

y = x - 1 (equation 1)

y = -3x - 5 (equation 2)

To solve this system of equations using the substitution method, we need to solve one of the equations for one variable and substitute the result into the other equation. Let's solve equation 1 for y:

y = x - 1

Now we can substitute this expression for y in equation 2:

x - 1 = -3x - 5

We will now solve for x:

4x = -4

x = -1

We can substitute this value of x back into equation 1 or equation 2 to find the value of y:

Using equation 1:

y = x - 1

y = -1 - 1

y = -2

Using equation 2:

y = -3x - 5

y = -3(-1) - 5

y = 2

Therefore, the solution to the system of equations is (x, y) = (-1, -2) or (x, y) = (-1,2).

The mean temperature of the orange juice is 5 °F greater than the mean temperature of the water

From the question, we are to calculate how much greater the mean temperature of the orange juice is than the mean temperature of the water

From the given chart,

Mean temperature of orange juice = \(\frac{59+65+72+78+85+81}{6}\)

Mean temperature of orange juice = \(\frac{440}{6}\)

Mean temperature of orange juice = 73.33 °F

Mean temperature of water = \(\frac{55+62+68+71+79+75}{6}\)

Mean temperature of water = \(\frac{410}{6}\)

Mean temperature of water = 68.33 °F

Difference in temperature = 73.33 °F - 68.33 °F

Difference in temperature = 5 °F

Hence, the mean temperature of the orange juice is 5 °F greater than the mean temperature of the water

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The probability of the number of people who say auto racing is their favorite sport being more than 37 can be calculated using statistical methods.

This would require information on the total number of people surveyed, the number of people who said auto racing is their favorite sport, and other relevant data.

Depending on the specific scenario, the probability could be estimated or calculated exactly.

However, without this information, it is not possible to provide a specific answer to the question.

Therefore, it is important to have all relevant information and data before calculating probabilities or making any conclusions about the likelihood of an event occurring.

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Answer: Yes, there is a relationship. As time increases, texting speed decreases.

Step-by-step explanation:

that is for the people looking for the correct answer.

The correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.

Although the points plotted on the graph are completely scattered. There exists a basic relationship between the points, as time increases, texting speed decreases, moving from the left side of the graph to the right side of the graph. Hence, the correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

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Answer:

96.05

Step-by-step explanation:

Answer:

96.05

Step-by-step explanation:

85 times 113

9605

divided by 100

96.05

Answer:

• Yes

• p+0.18p

• 1.18p

Explanation:

Let the original price of the item = p dollars.

If there is an 18% markup, the new price of the item will be:

Yes, the price of the item with an 18% markup is the same as multiplying the original price by 1.18.

Yes, the price of the item with an 18% markup is the same as multiplying the original price by 1.18.

Given that, the original price of an item is p dollars.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the original price of the item = p dollars.

If there is an 18% markup, the new price of the item will be

New price = p + 18% of p

= p + 0.18p

= 1.18p

Yes, the price of the item with an 18% markup is the same as multiplying the original price by 1.18.

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The cash flow to stockholders for 1998 is -$4 million.

To calculate the cash flow to stockholders for 1998, follow these steps:

Identify the dividends paid: Brandy's Candies paid $23 million in dividends during 1998.

Determine the net common stock repurchases: Brandy's Candies made net common stock repurchases of $27 million during 1998.

Subtract the net common stock repurchases from the dividends paid: $23 million - $27 million = -$4 million.

The resulting cash flow to stockholders for 1998 is -$4 million, indicating a net outflow of cash from stockholders.

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False. We would anticipate the second-year GPA to be slightly higher than the 40th percentile based on the regression impact.

How does your GPA translate?

Given this,

 A student who has a first-year GPA in the 40th percentile

is likely to have a second-year GPA in the same range.

The scatter plot is shaped like a football.         ————— (False)

If the scatter diagram is shaped like a football, then all of the data points are drawn in a circle. As a result, the data does not fit well.

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The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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The value of the expression is r'(t) = (4, 6t, 12t²), T(1) = (2/7, 3/7, 6/7), r''(t) = (0, 6, 24t), r'(t) ร r''(t) = 144t³.

We are given the vector-valued function r(t) = (4t, 3t², 4t³).

To find r'(t), we need to take the derivative of each component of r(t) with respect to t:

r'(t) = (d/dt)(4t), (d/dt)(3t²), (d/dt)(4t³)

r'(t) = (4, 6t, 12t²)

To find T(1), we need to evaluate r'(t) at t = 1 and then divide by the magnitude of r'(1):

r'(1) = (4, 6(1), 12(1)²) = (4, 6, 12)

| r'(1) | = sqrt(4² + 6² + 12²) = sqrt(196) = 14

T(1) = r'(1) / | r'(1) | = (4/14, 6/14, 12/14) = (2/7, 3/7, 6/7)

To find r''(t), we need to take the derivative of each component of r'(t) with respect to t:

r''(t) = (d/dt)(4), (d/dt)(6t), (d/dt)(12t²)

r''(t) = (0, 6, 24t)

Finally, to find r'(t) ร r''(t), we need to take the dot product of r'(t) and r''(t):

r'(t) ร r''(t) = (4, 6t, 12t²) ร (0, 6, 24t)

r'(t) ร r''(t) = 0 + 6t(6t) + 12t²(24t)

r'(t) ร r''(t) = 144t³

Therefore, we have:

r'(t) = (4, 6t, 12t²)

T(1) = (2/7, 3/7, 6/7)

r''(t) = (0, 6, 24t)

r'(t) ร r''(t) = 144t³

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