Solve the system of equations: y=x-3. y=x^2+2x-4

Answer:8, 6, and 7 are the three factors of the above expression

Step-by-step explanation:

8, 6, and 7 are factors

p and n are variables

Answer:

z⁹ hope that helps you ...

Answer:

b = 30°

Step-by-step explanation:

a + b + 90° = 180°

60° + 90° + b = 180°

150° + b = 180° ( subtract 150° from both sides )

b = 30°

Therefore, we can say with 95% confidence interval that the true difference in mean body temperatures between men and women is between -1.144 and -0.056 degrees Fahrenheit.

a) Hypothesis test setup:

Let μ1 be the population mean body temperature of men and μ2 be the population mean body temperature of women.

Null hypothesis: H0: μ1 = μ2 (The mean body temperature is the same for men and women)

Alternative hypothesis: Ha: μ1 ≠ μ2 (The mean body temperature differs for men and women)

We will use a two-sample t-test for independent samples to test this hypothesis.

b) The exact p-value for the two-sample t-test with the given data is 0.0117. This p-value indicates that if the null hypothesis were true, the probability of obtaining a sample as extreme as the observed sample (or more extreme) is 0.0117. Since this p-value is less than the commonly used significance level of 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to indicate that mean body temperatures differ for men and women.

c) To construct a 95% confidence interval for the difference in population means (μ1 - μ2), we can use the following formula:

CI = (x1 - x2) ± tα/2,ν * SE

where x1 and x2 are the sample means for men and women, tα/2,ν is the t-value for the desired confidence level and degrees of freedom (df), and SE is the standard error of the difference in sample means.

Using the given data, we have:

x1 = 97.5, x2 = 98.4

s1 = 0.35, s2 = 0.366

n1 = 8, n2 = 9

df = n1 + n2 - 2 = 15

t0.025,15 = 2.131 (from t-distribution table)

SE = sqrt(s1^2/n1 + s2^2/n2) = 0.126

CI = (97.5 - 98.4) ± 2.131 * 0.126

CI = (-1.144, -0.056)

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Answer:

6

Step-by-step explanation:

10 x 6 = 60

5 x 6 = 30

60 - 30 = 30

If 66 sixth graders are randomly selected, the probability that the sample mean would be greater than 92.25 wpm is approximately 0.2142 or 21.42%.

If the sample size is sufficient, we can apply the theorem of central limitation to determine the pattern of distribution of sample means. Since n = 66 is a big enough number in this situation, we may use a normal distribution to roughly comparable the distribution of the sample means.

The general population's mean, which is 89 wpm, is the same as the mean value of the sample means. The following formula can be used to identify the average deviation of the sample means, commonly referred to as the standard deviation or error of the mean:

Standard error is equal to standard deviation squared.(sample size) Standard deviation: 16 squared(66) standard deviation: 1.969 Using the following formula, we can now standardise the sample mean: The formula for z is (sample mean - population mean) / standard error. z = (92.25 - 89) / 1.969 z = 1.732

We may determine the probability when a standard normal random variable is greater than 1.732 using the standard normal distribution table or calculator. This likelihood is roughly 0.0429, or 4.29%. we must remember that rather than just looking for any random variable, we are seeking for the probability that a sample mean is higher than 92.25 wpm. As a result, we must use the sample mean distribution, which we roughly categorized as a normal distribution.

The z-score must then be converted using the following formula to its original units of measurement: Sample mean equals population mean plus z times the standard error. 89 + 1.732 * 1.969 is the sample mean.

92.25 is the sample mean.

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Given :

Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug.

To Find :

How many mugs did Jack make if he had 28.88 lbs of clay left over.

Solution :

Clay required to make 1 mug, r = 0.72 lbs.

Amount of clay left after making sculpture is, T = 28.88 lbs.

Now, number of clay mug Jack can make is :

\(n = \dfrac{28.88}{0.72}\\\\n= 40.11\)

Since, number of mug cannot be in decimal, so we take the floor value.

Therefore, number of mug that can be prepared is 40 .

The debate over whether alcohol misuse is biologically determined or culturally influenced is most relevant to the issue of nature versus nurture.

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The 9th term of the given sequence, where each term is obtained by multiplying the previous term by 3, is 39366.

To find the 9th term of the sequence, we need to identify the pattern or rule that governs the sequence. Let's examine the given sequence: 6, 18, 54.

By observing the terms, we can see that each term is obtained by multiplying the previous term by 3. In other words, each term is three times the preceding term.

Using this pattern, we can find the 9th term by successively multiplying the previous term by 3:

6 × 3 = 18 (2nd term)

18 × 3 = 54 (3rd term)

54 × 3 = 162 (4th term)

162 × 3 = 486 (5th term)

486 × 3 = 1458 (6th term)

1458 × 3 = 4374 (7th term)

4374 × 3 = 13122 (8th term)

13122 × 3 = 39366 (9th term)

Therefore, the 9th term of the sequence is 39366.

The sequence follows a pattern where each term is obtained by multiplying the previous term by 3. By identifying this pattern, we can derive the formula for finding any term in the sequence. In this case, to find the 9th term, we multiply the 8th term (13122) by 3, which gives us 39366 as the 9th term.

This pattern is a common example of a geometric sequence, where each term is obtained by multiplying the previous term by a constant ratio. In this case, the ratio is 3. By understanding the pattern and applying it repeatedly, we can find any term in the sequence.

By observing the pattern and applying the multiplication rule, we can derive the formula for finding any term in the sequence. In this case, by multiplying the 8th term (13122) by 3, we obtain the 9th term of 39366. Understanding the pattern and the underlying concept of a geometric sequence allows us to extend the sequence and find any desired term.

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Answer:

a. y(t) = - 1/2gt² + y₀ b. \(t = \frac{v_{0} +/- \sqrt{v_{0} ^{2} + 2 y_{0}g } }{g }\)

Step-by-step explanation:

Let the quadratic function y(t) = v₀t - 1/2gt² + y₀ represent the quadratic function that models the height above the ground of the projectile.

a. Maximum Height

At maximum height, the velocity, v₀ = 0, so substituting v₀ = 0 into the equation, we have

y(t) = v₀t - 1/2gt² + y₀

y(t) = 0 × t - 1/2gt² + y₀

y(t) = 0 - 1/2gt² + y₀

y(t) = - 1/2gt² + y₀

b. Time when the projectile reaches the ground

The time when the projectile reaches the ground is gotten when y(t) = 0, So

y(t) = v₀t - 1/2gt² + y₀

0 = v₀t - 1/2gt² + y₀

re-arranging, we have

1/2gt² - v₀t - y₀ = 0

Using the quadratic formula,

\(t = \frac{-(-v_{0}) +/- \sqrt{(-v_{0}) ^{2} - 4 X (-y_{0}) X\frac{g}{2} } }{2 X \frac{g}{2} } \\= \frac{v_{0} +/- \sqrt{v_{0} ^{2} + 2 y_{0}g } }{g }\)

Answer:

Option B: 6342

Step-by-step explanation:

Answer: 6342

Step-by-step explanation:

906 x 7 = 6342

Answer: The exponential format of  algebraic expressions is an expression that includes an exponent. All expressions containing exponents are written in exponential format.

Step-by-step explanation:
• How to represent the same number of iterative multiplications

By writing a number as the basis for the number of repetitions

It is written as a small number in the upper right corner.

• Small numbers are called exponents, exponents, powers, or orders.

e.g. 10 x 10 x 10 x 10 = 10^4

Answer:

a shortcut way of writing repeated multiplication involving base and exponents  

Step-by-step explanation:

i think this is the answer

Answer:

salary = $ 500 + 0.105 sales

Step-by-step explanation:

Weekly Income = 500 + 0.105S   where S= weekly sales

in x, y math format that's

y=500+0.105x

Economics often uses Q for quantity and Y for income

so,

Y=500+0.105Q

Hope this answer helps you :)

Have a great day

Mark brainliest

The mean of eight numbers is 25, and when two extra numbers are included the mean of the ten numbers is 24. This means that the two extra numbers must be lower than 25 in order to bring down the mean of the ten numbers to 24.

To find the mean of the two extra numbers, we need to subtract the sum of the first eight numbers from the sum of all ten numbers.

The sum of the first eight numbers is 8 x 25 = 200, and the sum of all ten numbers is 10 x 24 = 240.

Subtracting 200 from 240 gives us 40.

Since there are two extra numbers, we need to divide 40 by 2 to find the mean.

the mean of the two extra numbers is 40 / 2 = 20.

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Answer: -12

Step-by-step explanation: 8 - 5 / (1/2) * 2

We need to follow PEMDAS.

8 - 5 / (1/2) * 2

8 - 10 * 2

8 - 20

-12

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Angle of observation is changing at a rate of -1/15 radians per second (or about -3.8 degrees per second).

We can solve this problem using the concept of related rates. Let's call the distance between the person and the hot air balloon "d" and the height of the hot air balloon "h". We are given that:

d = 400 feet (constant)

dh/dt = -20 ft/sec (because the hot air balloon is coming down)

We want to find dθ/dt, the rate at which the angle of observation is changing.

We can start by drawing a right triangle with the hot air balloon at the top, the person at the bottom left, and the ground at the bottom right. The angle of observation is the angle at the person's location between the ground and the line connecting the person to the hot air balloon:

perl

Copy code

         /|

        / |

     h /  | d

      /   |

     /θ   |

    /_____|

       d

We can use the tangent function to relate h, d, and θ:

tan(θ) = h/d

Taking the derivative of both sides with respect to time t, we get:

sec²(θ) dθ/dt = (dh/dt)/d - h/(d²) (dd/dt)

Plugging in the values we know, we get:

sec²(θ) dθ/dt = (-20)/400 - h/(400²) (0)

When the hot air balloon is 300 feet above the ground, we can use the Pythagorean theorem to find h:

h² + d² = (400)²

h² + (300)² = (400)²

h = sqrt(400² - 300²) = 200 sqrt(2)

So, we can plug in d = 400, h = 200 sqrt(2), and dh/dt = -20 into our equation:

sec²(θ) dθ/dt = (-20)/400 - (200 sqrt(2))/(400²) (0)

sec²(θ) dθ/dt = -1/20

To solve for dθ/dt, we need to find sec(θ). We can use the Pythagorean theorem to find the length of the hypotenuse of the right triangle:

sqrt(h²+ d²) = sqrt((200 sqrt(2))² + (400)²) = 400 sqrt(3)

So, we have:

tan(θ) = h/d = (200 sqrt(2))/400 = sqrt(2)/2

sec(θ) = sqrt(1 + tan²(θ)) = sqrt(1 + (sqrt(2)/2)²) = sqrt(3)/2

Therefore:

dθ/dt = (-1/20) / (sqrt(3)/2)² = (-1/20) * (4/3) = -1/15

So, the angle of observation is changing at a rate of -1/15 radians per second (or about -3.8 degrees per second).

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  Angle Q = 31°  

  Angle R = 118°

   Angle S = 31°

Answer:

$250.00

Step-by-step explanation:

twenty $1 bills- 20 x 1 = 20

six $5 bills- 6 x 5 = 30

four $10 bills- 4 x 10 = 40

five $20 bills- 5 x 20 = 100

thirty $1 bills- 30 x 1 = 30

four $5 bills- 4 x 5 = 20

five $10 bills- 5 x 10 = 50

one $20 bill- 1 x 20 = 20

Add the bold totals together and get the final answer of $250.00

Answer:

B) Rotation, then Reflection

Answer:

11 miles

Step-by-step explanation:

Given that :

Distance traveled in first hour = 4 5/6 miles

Distance traveled in the next hour = 4 5/6 + 1 1/3

Therefore, the total distance traveled in 2 hours equals :

4 5/6 miles + (4 5/6 miles + 1 1/3 miles)

29/6 + 29/6 + 4/3

L. C. M of denominator = 6

(29 + 29 + 8) / 6

= 66 / 6 miles

= 11 miles

Distance traveled in 2 hours =. 11 miles

Answer:

ksb said did bud did did it did did gc victory in suf did did zudbxudng jc fn facing did fjgduf bdyrut during their fyrhfb hi f f7djdufj fhdf. Is A

Answer:divideing by the whole number

Step-by-step explanation:

Answer:

mnt should be 120 degrees because 35 + 25 = 60 and 180 - 60 is 120 ( the triangles are a mirrored image of each other because the line lengths are the same)

Answer:

Step-by-step explanation:

What is the measure of angle IJK?

To find the measure of angle IJK, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We can start by finding the measure of angle KJH, which is 180 - 84 - 50 = 46 degrees.

Next, we can use the fact that angles IJH and IJK are vertical angles (opposite angles formed by the intersection of two lines), so they have the same measure. We know that angle IJH has a measure of 84 degrees, so angle IJK also has a measure of 84 degrees.

Therefore, the measure of angle IJK is 84 degrees.

Answer:

8

Step-by-step explanation:

Answer:

18 and 1 Over 6 meters squared

Step-by-step explanation:

Hello There!

We can find the area of a square by multiplying its side by itself ( more specifically squaring it)

So the area of the square is equal to

\(4.25^2\\4.25*4.25=18.06\)

so the area of the square is 18.06

Answer:

the answer is 7

Step-by-step explanation:

12-5=7 and seven equals u

Answer:

7

Step-by-step explanation:

5 + u = 12

To make this equation simpler, why don't we isolate the variable u?

5 + u = 12

-5  -5

u = 12 - 5

u = 7

Hope you find good memes!

Answer:

d) m + s = 20

m = 5

Step-by-step explanation:

m + 3s = 50

m + s = 20

m + 3(20-m) = 50

m + 60 - 3m = 50

60 - 2m = 50

60 = 50 + 2m

60 - 50 = 2m

10 = 2m

5 = m

Answer:

\(t=3c-8\)

Step-by-step explanation:

It seems like your question is incomplete, so I will assume it is asking for an expression that represents how many cookies Anna has left.

Let t represent the total number of cookies left. Let's build this expression. If each batch contains c cookies, and there are 3 batches, the total number of cookies baked is 3 times c. Since she ate 8 cookies, 8 must be subtracted from that total. Therefore:

\(t=3c-8\)

Hope this helps!

Answer:

(2) The statement is true.

-1 < r < 1