The location of the circumcenter of angle ABC is:

A. point D
B. point E
C. point F

Answer:

1) b

2) c

3) d

4) a

Step-by-step explanation:

divide!

Step-by-step explanation:

Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value

26 I think (i'm not sure please correct me.)

Answer:

hi

Step-by-step explanation:

first of all,we should do this:

1 year is 12 month

amd 4 year is 48 month(12×4)

then we must add 2 months (wich is given) to 48

He was 50 months old when he started school

and we should find how old is he now

11 ×12=132months

132+1=133months

133-50=83 ( he has been 83 months in school)

let's turn it to years 6 years 11 months

( for finding years you should divide 83 to 12)

hope it helps

Answer:

(-4, -1)

Step-by-step explanation:

"A translation by 2 units to the left and 5 units down" would be: \((x,y)\rightarrow(x-2,y-5)\)

Apply the rule to point P:

\((-2,4)\rightarrow(-2-2,4-5)\rightarrow\boxed{(-4,-1)}\)

P' should be be (-4, -1).

Hope this helps.

The required points after the translation of  P (-2, 4) under a translation by 2 units to the left and 5 units down is P'(-4, -1).

Point P' is the image of P (-2, 4) under a translation by 2 units to the left and 5 units down. What are the coordinates of P' is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
P (-2, 4)
under a translation by 2 units to the left and 5 units down.
P becomes P'
Coordinate of the P' = (-2 - 2 , 4 - 5)
                                  = (-4, -1)

Thus, the required points after the translation of  P (-2, 4) under a translation by 2 units to the left and 5 units down is P'(-4, -1).

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The equation which can be used to represent each situation, in terms of x, is;

A = 80 + 2x

B = 45 + 3x

The interval of miles driven, x, for which Company A is cheaper than Company B is when x = 35 miles

Let

Company A:

A = 80 + 2x

Company B:

B = 45 + 3x

Company B > Company A:

45 + 3x > 80 + 2x

collect like terms

3x - 2x > 80 - 45

x > 35

In conclusion, the interval of miles driven, x, for which Company A is cheaper than Company B is 35 miles.

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Answer:

\(60^{o}\) or \(\frac{\pi}{3}\)

Step-by-step explanation:

The P-value = 0.000332 < 0.05, we reject H0 and conclude that there is a linear relationship between the index of exposure and cancer mortality. The correct option is D.

Hypothesis testing is a statistical tool that enables scientists to draw conclusions about populations using sample data. To put it another way, it allows you to evaluate the validity of a claim.

Hypothesis testing is the method by which we determine whether the findings of an investigation or experiment are likely to have occurred by chance.

It involves creating two opposing hypotheses (H0 and H1) and gathering evidence (in the form of sample data) to determine which hypothesis is more probable.

Since the P-value = 0.000332 < 0.05, we reject H0 and conclude that there is a linear relationship between the index of exposure and cancer mortality.

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Answer:

Slope = 20

y-intercept = 60

Step-by-step explanation:

Answer: Slope formula is given as

Pick two points on the line and use their coordinates. Let's pick (1, 80) and (2, 100).

Let, Plug the values above into the formula for slope: The slope of the graph is 20.

The y-intercept is the point where the line intercepts the y-axis.

y-intercept = 60.

Answer:

C

Step-by-step explanation:

John:

y = x +30

y = 5x + 50

Roberta:

y = 5x + 2

Conclusion:

You can see that John's boat was farther from the start and traveled faster because when John traveled for 5 hours, he traveled 50 miles while Roberta only traveled 25 miles for the same time.

Hello There!

Your correct answer is C.

There is no way to explain but when I put A it is incorrect but when I read that it was wrong I wanted to let other people that it was incorrect. Thanks!

Hope this helps to all you ape.x learners!!

(Tuesday, March 2/2021)

If we make the substitution $x=u-A/3$ in the cubic equation $x^3+Ax^2+Bx+C=0$, we get a cubic polynomial in $u$ that has no square term. This is because the substitution effectively removes the $x^2$ term from the original equation.

The substitution $x=u-A/3$ can be seen as a linear transformation of the variable $x$. This transformation has the following effect on the cubic equation:

x^3+Ax^2+Bx+C = (u-A/3)^3 + A(u-A/3)^2 + B(u-A/3) + C

```

Expanding the right-hand side of this equation, we get:

u^3 - 3Au^2/3 + A^2u/9 + Au^2 - 2A^2u/9 + Bu - A^2/9 + C

This simplifies to $u^3 + (A-1)u^2 + (B-2A)u + C$. As you can see, the $x^2$ term has been removed.

This transformation can be useful for solving cubic equations because it makes the problem simpler. The cubic equation in $u$ is easier to solve because it has no square term.

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Answer:

x = 77

Step-by-step explanation:

103+x = 180

x = 77

Answer:

10 action 45 rented 50 percent

Step-by-step explanation:

Option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A: -3 - 4.9x = 12.8

B: 4.9x - (-3) = 12.8

C: 3+ 4.9x = 12.8

D: (4.9 - 3)x = 12.8

E: 12.8 = 4.9x + 3

We have a statement:

A negative 3 less than 4.9 times a number, x, is the same as 12.8.

We can write in a mathematical form:

4.9x - (-3) = 12.8

or

4.9x + 3 = 12.8

or

12.8 = 4.9x + 3

Thus, option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

Answer: 12,620,256

Step-by-step explanation:

Given: The camera shop socks eight different types of batteries and there re at least 31 batteries of each type.

Here we want to select r= 31 batteries from n= 8 kinds of batteries, then formula we use to find number of ways is \(^{n+r-1}C_r=\ ^{31+8-1}C_{31}\)

\(=^{38}C_{31}=\dfrac{38!}{31!(38-31)!}\\\\=\dfrac{38!}{31!7!}\\\\=\dfrac{38\times37\times36\times35\times34\times33\times32\times31!}{31!\times5040}\\\\=12620256\)

Hence, the number of ways can a total inventory of 31 batteries be distributed among the eight different types = 12,620,256

Answer:

3.75, Terminating

Step-by-step explanation:

To answer this, we simply have to find what 3/4 is as a decimal. So, we know that in order to make 4/4, or 1, we need 4 parts. Let's say that 4/4 would equal 100, so we need to divide 100 into 4 parts:

100 / 4 = 25

Now, to find what 3/4 is, all we have to do is multiply 25 by 3:

25 * 3 = 75

And that is our decimal form, we just need to add the 3:

3.75, and since .75 doesn't keep on repeating, it just stops at .75, this is a terminating decimal

Hope this helps! :)

The best estimate for the cost per pound is $1.29.

Option B is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the graph, we have the two coordinates.

(10, 13) and (4, 5)

Now,

Slope:

= (5 - 13 ) / (4 - 10)

= -8 / -6

= 4/3

= 1.3

Thus,

The cost per pound is $1.3

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Answer:

i believe the answer is...C

Step-by-step explanation:speed(memory) or s(m)

Step-by-step explanation:

Dependent variable states that  a variable whose value dependent upon the dependent variable.

For example:

x is the independent variable and f(x) is the dependent variable

Given the statement:

The speed of a computer depends on the amount of memory.

Let m represents the amount of memory and s represents the speed of a computer.

m = Independent variable

s(m) = Dependent variable on m

Then

Answer:speed (memory), or s(m)

Step-by-step explanation:

The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

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Part A: x + y = 50y = x + 20

Part B:Ted spends 30 minutes practicing the breaststroke every day.

Part C:No, it is not possible for Ted to have spent 45 minutes practicing the butterfly stroke because it exceeds the total time spent swimming, which is 50 minutes.

Part A: Let x be the number of minutes Ted practices the butterfly stroke every day.

Let y be the number of minutes Ted practices the breaststroke every day.

Based on the given information, we can set up the following system of linear equations:

x + y = 50 (Equation 1) - Total time spent swimming is 50 minutes.

y = x + 20 (Equation 2) - Ted practices the breaststroke for 20 minutes longer than the butterfly stroke.

Part B: To find the time Ted spends practicing the breaststroke, we substitute Equation 2 into Equation 1:

x  (x + 20) = 50

2x + 20 = 50

2x = 50 - 20

2x = 30

x = 30 / 2

x = 15

Therefore, Ted spends 15 minutes practicing the butterfly stroke every day.

To find the time spent practicing the breaststroke, we substitute the value of x into Equation 2:

y = 15 + 20

y = 35

Ted spends 35 minutes practicing the breaststroke every day.

Part C: No, it is not possible for Ted to have spent 45 minutes practicing the butterfly stroke if he practices for a total of exactly 50 minutes and practices the breaststroke for 20 minutes longer than the butterfly stroke.

According to Equation 1, x + y = 50, and we found that x (time spent on the butterfly stroke) is 15. Therefore, if the butterfly stroke is practiced for 15 minutes, the maximum time for the breaststroke (y) would be 35 minutes, as per Equation 2.

Since 45 minutes is greater than the maximum possible time of 35 minutes for the butterfly stroke, it is not possible for Ted to have spent 45 minutes practicing the butterfly stroke while satisfying the given conditions.

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Answer:

x=2

Step-by-step explanation:

4(x+1)+4x-1 = 19

or, 4x+4+4x-1 = 19

or, 8x+3 = 19

or, 8x = 19-3

or, x = 16/8

or, x = 2

Answer:

Step-by-step explanation:

\(4(x - 1) + 4x – 1= 19\)

Expand

\(4(x-1)=4x-4\\\\4x-4 +4x-1=19\)

Collect like terms and simplify

\(4x +4x=19+4+1\\\\8x = 24\)

Divide both sides of the equation by 8

\(\frac{8x}{8} =\frac{24}{8} \\\\x = 3\)

Answer:

uh?

Step-by-step explanation:

The value of x corresponds to option B: 10.5 as the figure provided has two congruent figures inside it.

From the given image, we can consider that that the two triangles- one for which side x is given, and another for which measurements of both sides are given- are congruent. This is because they both have one common side and one angle equal to another at a vertex (refer image).

Thus, we have:

(x / 19.3) = (3.9 / 7.2)

Then, attempting to find the value of x we have:

x = (3.9 / 7.2) × (19.3)

= 10.5

Therefore, option B gives the measure of the side x of the given triangle, where x = 10.5.

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Answer:

Here’s the answer! Best of luck.

Step-by-step explanation:

The convolution integral y(t) = x(t) * h(t) for the given pair of signals x(t) and h(t) can be computed as follows:

y(t) = ∫[x(τ) * h(t - τ)] dτ

1) x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1)

The convolution integral becomes:

y(t) = ∫[δ(τ) * δ(t - τ - 2) * (τ - 1)] dτ

To evaluate this integral, we consider the properties of the Dirac delta function. When the argument of the Dirac delta function is not zero, the integral evaluates to zero. Therefore, the integral simplifies to:

y(t) = δ(t - 2) * (t - 1)

The convolution result y(t) is equal to the shifted impulse response h(t - 2) scaled by the factor of (t - 1). This means that the output y(t) will be a shifted and scaled version of the impulse response h(t) at t = 2, delayed by 1 unit.

In summary, for x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1), the convolution integral y(t) = x(t) * h(t) simplifies to y(t) = δ(t - 2) * (t - 1).

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The population was approximately 800,000 organisms at 14.7 hours and 172.7 hours after the culture was started. Rounded to the nearest hour, the times are 15 hours and 173 hours respectively.

To find the time(s) at which the population was 800,000, we need to solve the equation:

800,000 = -1592r^2 + 90,000t + 40,000

We can rearrange this equation to get:

1592r^2 = 90,000t - 760,000

r^2 = (90,000t - 760,000)/1592

Now we can substitute r^2 into the original equation:

P = -1592[(90,000t - 760,000)/1592] + 90,000t + 40,000

Simplifying this equation gives us:

P = -90t^2 + 570t + 40,000

Now we can set P equal to 800,000 and solve for t:

800,000 = -90t^2 + 570t + 40,000

Subtracting 800,000 from both sides gives:

-890,000 = -90t^2 + 570t

Dividing by -10 gives:

89,000 = 9t^2 - 57t

Rearranging this equation gives:

9t^2 - 57t - 89,000 = 0

Using the quadratic formula, we get:

t = (57 ± sqrt(57^2 - 49(-89,000))) / (2*9)

t ≈ 14.7 hours or 172.7 hours

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B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

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Answer:

125

Step-by-step explanation:

You can find the interior angle next to the angle with the value of 100, because a straight line has an angle of 180, so that angle would be 80. You can do the same with the interior angle next to 135, with that angle having a value of 45.

The interior angles of a triangle always have the sum of 180, so to get the last interior angle add 80+45 and then subtract that from 180. That angle would be 55.

To get Y take the value of the interior angle subtract 55 from 180, which would be 125.

Y-intercept is the point where the line crosses the y-axis, at this point x=0.

X-intecept is the point where the line crosses the x-axis, at this point y=0.

To identify the x intercept and y intercept, we are going to substitute x=0 and y=0 in the function:

y=7/2(0)-2

y=-2 ---> y-intercept

0=7/2x-2

2=7/2x

2*2/7=x

x=4/7---> x-intercept