pls help pls pls hii lol bye hahaha math fractions lol. videostar

Answer:

V1  = Base x Height = 43 x 15 = 645 (mm3)

V2 = Base x Height = 12 x 7 = 84 (mm3)

Hope this helps!

:)

Answer:

1) 645 mm³

2) 84 cm³

Step-by-step explanation:

Volume of prism:

Base area × height

1) 43 × 15 = 645 mm³

2) 12 × 7 = 84 cm³

Answer:

Since f(-1) = 0 and f(-2) = 0, we can set up two equations:

(-1)³ + p(-1)² - q(-1) - 4 = 0

(-2)³ + p(-2)² - q(-2) - 4 = 0

Simplifying each equation, we get:

-1 + p - q - 4 = 0

-8 + 4p - 2q - 4 = 0

Simplifying further, we get:

p - q = 5

2p - q = 6

Solving for p and q, we can add the two equations together to eliminate q:

p - q + 2p - q = 5 + 6

3p - 2q = 11

Then, we can substitute the value of q from the first equation into this equation to solve for p:

3p - 2(q + 5) = 11

3p - 2q - 10 = 11

3p - 2q = 21

3p - 2(5 + p) = 21

p - 10 = 7

p = 17

Substituting this value of p into either equation for q, we get:

q = p - 5 = 12

Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:

-1 | 1 17 -12 -4

|__ -1 -16 28

1 1 12

This gives us the factorization:

f(x) = (x + 1)(x² + x + 12)

To find the solutions, we can use the quadratic formula on the quadratic factor:

x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)

x = (-1 ± sqrt(1 - 48)) / 2

x = (-1 ± sqrt(-47)) / 2

x1 = (-1 + i(sqrt(47))) / 2

x2 = (-1 - i(sqrt(47))) / 2

Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.

Step-by-step explanation:

give me thanks for more! your welcome bud!

The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

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Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

Answer: (6,11π/6).

Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so

because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.

So the final answer is (6,11π6).

Kamryn would save $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

To determine the amount of interest Kamryn will save by raising her credit score from 665 to 680, we need to compare the interest rates associated with each credit score range.

According to the given information, a credit score of 665 falls within the range of 580-669, where the corresponding simple interest rate is 10.358%.

Let's calculate the interest Kamryn would pay on a loan of $13,250.00 at an interest rate of 10.358%.

Interest = Principal * Rate

= $13,250.00 * 0.10358

≈ $1,370.56

Therefore, if Kamryn were to borrow $13,250.00 with a credit score of 665, she would pay approximately $1,370.56 in interest.

Now, let's consider the scenario where Kamryn raises her credit score to 680. A credit score of 680 falls within the range of 670-739, where the corresponding simple interest rate is 9.132%.

Calculating the interest with a credit score of 680:

Interest = Principal * Rate

= $13,250.00 * 0.09132

≈ $1,210.57

Thus, if Kamryn were able to raise her credit score from 665 to 680, she would save approximately $1,370.56 - $1,210.57 = $159.99 in interest.

Therefore, Kamryn would save approximately $159.99 in interest by raising her credit score from 665 to 680 when borrowing $13,250.00 with a simple interest rate loan.

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Answer:

-1/6

I hope this helps!

Answer:

E. 38°

Explanation:

A rhombus has 360° interior angle.

Half of the other side has 180° angle.

Solve for x:

sum of interior angles = 180°

x + 14 + x + 14 + x + x = 180°

4x + 28° = 180°

4x = 180° - 28°

4x = 152°

x = 152°/4 = 38°

Sum of half interior angles=180°

So

Option E

Answer:

Step-by-step explanation:

5t + 2m

m = 7 t = 2

Substitute the above values into the expression

That's

5(2) + 2(7)

10 + 14

24

Hope this helps you

Answer:

thx

Step-by-step explanation:

Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

Answer:

61 miles per hour

Step-by-step explanation:

244 miles in 4 hours

divide miles by hours

unit rate 61 miles per hour

Answer:

\(\huge\boxed{61mph}\)

Useful Information:

Velocity=distance/time

\(v=\frac{s}{t}\)

Step-by-step explanation:

In order to work out the velocity in miles per hour, you would divide the distance travelled of 244 miles by the time in hours of 4, which gives you 61mph.

1) Divide 244 by 4

\(\frac{244}{4}=61mph\)

Answer:

The equation is    x+3<12  

The answer is       x<9

Step-by-step explanation:

(The sum of a number = x) (and = +) (three is less than twelve = 3<12)

This means the equation is x+3<12, so then you subtract 3 from both sides and end up with x<9

Hope this helps :)

The value of variable x is,

⇒ x = 42

We have to given that;

In a right triangle,

⇒ sin (x + 10)° = cos (4x - 4)°

Now, We can simplify as;

⇒ sin (x + 10)° = cos (4x - 4)°

⇒ cos (90 - (x + 10))° = cos (x - 4)°

⇒ 90 - (x + 10) = x - 4

⇒ 90 - x - 10 = x - 4

⇒ 80 + 4 = 2x

⇒ 2x = 84

⇒ x = 42

Thus, The value of variable x is,

⇒ x = 42

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Based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid.

The teacher surveyed his homeroom class about their post-graduation plans. He found out that most of his students plan to become soldiers.

An inference is a conclusion that can be drawn from a given set of data. In this case, the inference that can be made is that a significant number of students in the homeroom class plan to become soldiers.Therefore, the inference is valid based on the data provided.

However, it is essential to keep in mind that the sample size in the homeroom class is relatively small and may not be representative of the entire population. If the teacher had surveyed a more extensive and diverse population, the results might have been different.

In conclusion, based on the information provided, the inference that a significant number of students in the homeroom class plan to become soldiers is valid. However, this may not apply to the entire population, and it is crucial to consider the sample size when drawing inferences.

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Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

Answer:

250

Step-by-step explanation:

I have an easy way of doing this that works for me. Since there are 65 more cheeseburgers, you can subtract 65 from the total number, which leaves you with 500. Then, you just divide that number by 2 and your quotient (250) is the number of hamburgers.

Answer:

250 hamburgers and 315 cheeseburgers

Step-by-step explanation:

565-65=500

then u divide 500 by 2 which =250 hamburgers sold then you add 65 to get the cheeseburgers

Answer:

1. 59  2.90  4.31   3. Sorry I dunno

Step-by-step explanation:

1. the 59 degrees is the same.

2. It's a perfect angle

3. Sorry

4.180-90-59=31

Answer:

the circumference of the circle is 24π feet

Step-by-step explanation:

The area of a circle is A = πr^2, where r is the radius. So, if the area is 144π ft^2, we can solve for the radius:

144π = πr^2

r^2 = 144

r = 12

The circumference of a circle is given by the formula C = 2πr, so substituting in the value of the radius, we find:

C = 2π * 12

C = 24π

The function rule for g(x) is h(x) = (x - 0)² - 7.

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided about the vertex (0, -7) and other points (-3, 2), we can determine the value of a as follows:

f(x) = a(x - h)² + k

2 = a(-3 - 0)² - 7

2 + 7 = 9a

9 = 9a

a = 1

Therefore, the required quadratic function in vertex form is given by:

h(x) = a(x - h)² + k

h(x) = (x - 0)² - 7

h(x) = x² - 7

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a. The chance that X is between 20 and 25 is 50%, or 0.5.

b. The probability that X is either 1 or 100% that it is less than or equivalent to 25.

c. There is a 100% chance that X falls between 15 and 25.

d. There is zero chance that X will be less than or equivalent to 15.

Since the random variable X is uniformly distributed over the interval [15,25], its probability density function is given by:

f(x) = 1/(25-15) = 1/10 for 15 ≤ x ≤ 25

(a) To find P(20≤X≤25), we need to integrate the probability density function over the interval [20,25]:

P(20≤X≤25) = ∫20²⁵ f(x) dx = ∫20²⁵ 1/10 dx = (25-20)/10 = 0.5

So the probability that X lies between 20 and 25 is 0.5 or 50%.

(b) To find P(X≤25), we need to integrate the probability density function over the entire interval [15,25]:

P(X≤25) = ∫15²⁵ f(x) dx = ∫15²⁵ 1/10 dx = (25-15)/10 = 1

So the probability that X is less than or equal to 25 is 1 or 100%.

(c) To find P(15≤X≤25), we need to integrate the probability density function over the entire interval [15,25]:

P(15≤X≤25) = ∫15²⁵ f(x) dx = ∫15²⁵ 1/10 dx = (25-15)/10 = 1

So the probability that X lies between 15 and 25 is 1 or 100%.

(d) To find P(X≤15), we need to integrate the probability density function over the interval [15,15] (which is just a single point):

If X is uniformly distributed over the interval [15, 25], it means that the probability of X taking any value within this interval is the same. Therefore, we can use the formula for the uniform distribution to find the probability of X being less than or equal to 15:

P(X ≤ 15) = (15 - 15) / (25 - 15) = 0 / 10 = 0

Here, we are dividing the difference between 15 and 15 (which is 0) by the width of the interval (which is 10), as the probability of X being less than or equal to 15 is zero, since X is not allowed to take any value less than 15.

Therefore, the probability of X being less than or equal to 15 is 0.

Since X is a continuous random variable, its probability of taking on any specific value is zero. Therefore, the probability that X is less than or equal to 15 is 0.

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Answer:

w= 3 feet

h= 5 feet

Step-by-step explanation:

H=height; W=width=2H-7ft

W=2H-7ft

2H+4W=22ft Substitute for W

2H+4(2H-7ft)=22ft

2H+8H-28ft=22ft Add 28 ft to each side.

10H=50ft

H=5 ft ANSWER 1: The bookshelf is 5 feet high.

W=2H-7ft=2(5ft)-7ft=10ft-7ft=3ft

ANSWER 2: the bookshelf is 3 feet wide.

CHECK:

2H+4W=22ft

2(5ft)+4(3ft)=22ft

10ft+12ft=22ft

22ft=22ft

Hope this helps!

Answer:

x = 1, x = 5

Step-by-step explanation:

Solutions to a graph are where x=0 or where the function crosses the x axis. It is difficult to see the numbers but if we assume it goes up one number for each line we find that the line crosses the x axis at 1 and 5.

Answer:

i dont understand it either

Step-by-step explanation:

Answer:

Meee tooo yeahhh

Cause I'm really bad at math

Answer:

Step-by-step explanation:

If you complete the square and double the time to get back to the surface you will have your answer.

d = 2(t^2 - 4t) - 10; Take 1/2 of - 4 and square it. Add the result inside the brackets.

d = 2(t^2 - 4t + (4/2)^2 ) - 10  

d = 2*(t^2 - 4t + 4) - 10 - 2*4  

Did you notice I put the 2*4 outside the brackets and turned it into a minus. The reason that happened is to offset what is inside the brackets that was added here.

d = 2(x - 2)^2 - 18; t^2 - 4t + 4 is a perfect square. that 2 inside the brackets is critically important.  

The 18 is the maximum depth below the surface of the water. (Poor choice of words. Technically - 18 is a minimum). But you want to use t - 2 to make it into 0.     t - 2 = 0 ; t =2  

What that means is that it took 2 minutes to get 18 meters below the surface of the water. He will break the surface of the water 2 minutes later. I don't exactly know how to answer the question. It is 2 minutes to get from the minimum depth to the surface. It is 4 minutes to get to the surface when he begins his dive.

Come back to the surface means d=0

Take positive

t=5s

A 90% confidence interval places the true mean normal body temperature between 98.14269 and 98.35577.

library(UsingR)

attach(normtemp)

print(normtemp)

hist(normtemp$temperature)

shapiro.test(normtemp$temperature)

qqnorm(normtemp$temperature)

qqline(normtemp$temperature)

We can observe that the data follows a normal distribution from the histogram and q plot.

The points in the q plot fall on a straight line and correspond to a normal distribution.

P-value = 0.2332, P>0.05, from the Shapiro test

hence, we fail to reject null htpothesis.

On accepting the null hypothesis we get to know that the data follows normal distribution.

The output for the given code will be ,

data: normtemp$temperature

t = 1527.9, df = 129, p-value < 2.2e-16

alternative hypothesis: true mean ≠0

90 percent confidence interval:

98.14269 98.35577

sample estimates:

mean of x

98.24923

Therefore , we can conclude that ,

The true mean normal body temperature is believed to be between 98.14269 and 98.35577 with a 90% confidence interval.

98.6 is not included in the 90% confidence interval.

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The statement which median describe about Grace's data set is 2 is the middle number when the number of pets in the data set is arranged from least to greatest.

The median of the data is the middle value of the data set when it arrange in ascending or descending order.

Grace collected data from twenty of her friends about the number of pets they have.  The median number of pets is two.

Median=2

By the definition of median of data set, the median two tells that the middle value of the pet is 2 when arranged in high to low point.

Thus, the statement which median describe about Grace's data set is 2 is the middle number when the number of pets in data set is arranged from least to greatest.

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Answer: 5x + 2x + x = (5 + 2 + 1)x = 8x

Step-by-step explanation:

The given expression is: 5x + 2x + x.

We can simplify it by combining the like terms with the same variable, which are the terms with x.

5x + 2x + x = (5 + 2 + 1)x = 8x

Therefore, the expressions equivalent to 5x + 2x + x are:

A. (5+2+1)x

D. 8x

Option B, 8x3, and option C, 8, are not equivalent to the given expression.

Answer:

a and d

Step-by-step explanation:

b and c would not be an option because you still need tobfind the variable for x and you have to get your variables alone.