The table show the total distance d, in kilometers, a truck traveled after t hours. Time in hours (t) Distance in kilometers (d) 0 0 1 100 2 200 3 300 Which equation shows the relationship between d and t? d=300t d=100t d=t+100 d=t+300

Answer:

15

Step-by-step explanation:

I got this answer because I just added up all the x's.

1=3

2=2

3=5

4=3

5=2

3+2= 5

5+5=10

10+3=13

13+2=15

The solution for y(x) = x^2/4 + 2e^-x.

The solution of the differential equation 2yy^2=xe^x that satisfies the initial condition y(0)=2 is y(x) = x^2/4 + 2e^-x.

To arrive at this solution, we can use the method of separation of variables. This method states that we should separate the variables in the equation, integrate the resulting terms, and solve for the unknown constant. In this case, we can write the equation as:

2yy^2 = xe^x
2yy^2/x = e^x

Integrating both sides yields:

∫(2yy^2/x)dx = ∫e^xdx
2y^2ln|x| + c = e^x + c

Solving for y, we have:

2y^2ln|x| = e^x
y^2ln|x| = e^x/2
y^2 = (e^x/2)/ln|x|
y = ±√((e^x/2)/ln|x|)

Substituting in the initial condition y(0)=2, we have:

2 = ±√((e^0/2)/ln|0|)
2 = ±√(1/2)

Since the only possible solution for y(0) = 2 is 2, the solution for y(x) = x^2/4 + 2e^-x.

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Answer:

C

Step-by-step explanation:

Angle Bisector means the line is being split in half evenly. So, when angle 3 is 60, so is angle 4. Angles 1 and 2 are both 30 degrees because 30 + 60 equals to 90 degrees.

I hope this helps!

Answer:

60⁰..................

The probability that Sheri is chosen first and Nikita is chosen second is 1/756.

The probability of Sheri being chosen first is 1/28, since there are 28 contestants and each one has an equal chance of being chosen first.

After Sheri has been chosen, there are 27 remaining contestants, so the probability of Nikita being chosen second is 1/27, since there are now only 27 contestants left and each one has an equal chance of being chosen second.

To find the probability of both events happening together (Sheri being chosen first and Nikita being chosen second), we multiply the probabilities of each event

= 1/28 x 1/27

Multiply the numbers

= 1/756

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The difference between the number of correct and incorrect answers is 34.

To find the difference between the number of correct and incorrect answers, we first need to determine the number of correct answers. We know that the point score is obtained by dividing the final score by 10. In this case, the point score is 45. Since each correct answer is worth 1 point, the number of correct answers is equal to the point score. Therefore, the student answered 45 questions correctly.  

Next, we need to find the number of incorrect answers. Each incorrect answer is worth 4 1-point, so we divide the point score by 4. In this case, 45/4 equals 11.25.

Rounding to the nearest whole number, we get 11. Therefore, the student answered 11 questions incorrectly.  

Finally, we calculate the difference between the number of correct and incorrect answers by subtracting the number of incorrect answers from the number of correct answers: 45 - 11 = 34.

Thus, the difference between the number of correct and incorrect answers is 34.

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Answer:

implicit array sizing

Step-by-step explanation:

The statement "int grades[] = { 100, 90, 99, 80 };" initializes an integer array called "grades" with the values 100, 90, 99, and 80. The given statement is an example of initializing an integer array in C++.

The array is named "grades" and has an unspecified size denoted by the empty square brackets []. The values inside the curly braces { } represent the initial values of the array elements.

In this case, the array "grades" is initialized with four elements: 100, 90, 99, and 80. The first element of the array, grades[0], is assigned the value 100, the second element, grades[1], is assigned 90, the third element, grades[2], is assigned 99, and the fourth element, grades[3], is assigned 80.

The array can be accessed and manipulated using its index values. This type of initialization allows you to assign initial values to an exhibition during its declaration conveniently.

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Mega parsecs (Mpc) stands for trillions of parsecs. This statement is true. Additionally, the question asks about simple and elegant equations found in the course, excluding H = 1/t (or t = 1/H).

Mega parsecs (Mpc) does indeed stand for trillions of parsecs. A parsec is a unit of length used in astronomy to measure vast distances, and mega parsecs represent distances in the order of trillions of parsecs.

Regarding the simple and elegant equations mentioned in the course, excluding H = 1/t (or t = 1/H), one of the options provided, E = mc^2, is a well-known equation from Einstein's theory of relativity. This equation relates energy (E) to mass (m) and the speed of light (c). It is used to understand the equivalence of mass and energy and has had significant success in explaining various phenomena, including nuclear reactions and the behavior of particles.

In conclusion, the statement that mega parsecs (Mpc) stands for trillions of parsecs is true. Additionally, among the given options, E = mc^2 is a widely recognized equation used with great success in various fields, including physics and nuclear science.

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The equation of the line r is y = ₋(10/9)x ₊ 7.

Given, parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope intercept form

equation of line q is y = ₋10/9x ₊ 2

it's already in slope intercept form.

hence slope is:

m = (₋10/9) from the above the equation.

we know that the second line will also have a slope of ₋10/9 and we are given the point (9 , ₋3). We can setup an equation in slope intercept form and use these values to solve for the y inetrcept.

y = mx ₊ b

₋3 = ₋10/9 (9) ₊ b

₋3 = ₋10 ₊ b

b = 7

plug the y intercept back into the equation to get our final answer.

y = ₋(10/9)x ₊ 7

hence  we get the equation of the line r as y = ₋(10/9)x ₊ 7.

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The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

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Equation which is used to find the distance between the given points A and B for the given θ = 28° is equal to AB = x cos28°.

Diagram is attached.

As given in the question,

Diagram is attached.

Given angle θ = 28°

Hypotenuse = x

Two points A and B is on the base

Base - length = AB

In the given triangle,

Equation represents the distance between two points is:

cosθ = base / hypotenuse

⇒ cos 28° = AB / x

⇒ AB = x cos 28°

Therefore, the equation used to represent the distance between two point A and B is equal to AB = x cos28°.

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Answer: 13.46

Step-by-step explanation:

Subtract and you will get 13.46

Answer: 13.46

Step-by-step explanation:

Answer:

a 9% commission is earned on the amount of beauty supplies sold. To find out the amount of commission earned, all you have to do is multiply $895 by 9%. 895 * 9% (0.09) is 80.55. $80.55 is earned in commission, Now, add 450 to that amount. 80.55 + 450 is 530.55. There. Danielle earned a total of $530.55 this week.

Step-by-step explanation:

Answer:

18 quarters

Step-by-step explanation:

1 quarter = 25 cents = $0.25

Hence, the number of quarters in $4.50

Converting $4.50 to cents

$1 = 100 cent

$4.50 = (4.50 * 100)

$4.50 = 450 cents

Number of Quarters in $4.50 :

450 cents / 25 cents

= 18 quarters

Answer:

D

Step-by-step explanation:

"Solution to the system" means when the two lines intersect. As seen in the graph, you can see that the two lines intersect at (3,-4). This was for Question 11

Answer:

68% of  the data is between 5.7 and 7.7 grams.

Step-by-step explanation:

According to the empirical rule for a normal distribution, 68% of data falls within one standard deviation, 95% of data falls within two standard deviation and 99.7% of data falls within three standard deviation.

Given that:

mean (μ) = 6.7 grams, standard deviation (σ) = 1 gram.

From the empirical rule:

68% of  the data is between one standard deviation i.e μ ± σ = 6.7 ± 1 = 5.7, 7.7

Therefore 68% of  the data is between 5.7 and 7.7 grams.

Answer:

each student must make 5 posters in one hour

Step-by-step explanation:

The equitable thing is that each student makes an equal number of posters at the established time, knowing that there must be 60 posters and there are 12 students, these numbers must be divided so we will have the same amount for each student:

60/12 = 5

Which means that each student must make 5 posters in one hour so that everything turns out well

Answer:

  A: the proposed route is 3.09 miles, so exceeds the city's limit

Step-by-step explanation:

The length of the route in grid squares can be found using the Pythagorean theorem on the two parts of the route. Let 'a' represent the length of the route to the park from the start, and 'b' represent the route length from the park to the finish. Then we have (in grid squares) ...

  a^2 = (12-6)^2 +3^2 = 45

  a = √45 = 3√5

and

  b^2 = (6 -2)^2 +4^2 = 32

  b = √32 = 4√2

Then the total length, in grid squares, is ...

  3√5 + 4√2 = 6.7082 +5.6569 = 12.3651

If each grid square is 1/4 mile, then 12.3651 grid squares is about ...

  (12.3651 squares) · (1/4 mile/square) = 3.0913 miles

The proposed route is too long by 0.09 miles.

Answer:

B

Step-by-step explanation:

the slope of the line is the number that multiplies the x

the y intercept is the constant therm

Answer:

Slope=2

y-intercept=(-2)

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Answer:

The y-intercept is -2 and the slope is 2.

Step-by-step explanation:

rise over run lol

The missing sides are;

1) 25

2) 29

3) 14

4) 19

5) 46

6) 4

For a right triangle with an angle θ, the trigonometric ratios are defined as follows:

Sine (sin): the ratio of the length of the side opposite the angle to the length of the hypotenuse. So, sin(θ) = opposite/hypotenuse.

Cosine (cos): the ratio of the length of the adjacent side to the length of the hypotenuse. So, cos(θ) = adjacent/hypotenuse.

1) sin 29 = 12/x

x = 12/sin 29

x = 25

2) Cos 16 = x/30

x = 30 cos 16

= 29

3) Tan 58 = 22/x

x = 22/Tan 58

x = 14

4) Tan 51 = x/15

x = 15 tan 51

= 19

5) Cos 37 = 45/x

x = 45/Cos 37

x = 56

7) Sin 24 = x/9

x = 9 sin 24

= 4

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The odds of selecting a red 9 is 1/26.

Probability of an event E is represented by P(E)  can be defined as (the number of favorable outcomes) / (Total number of outcomes).

Given the total number of cards in a standard deck = 52

there can be  only two red9 as one 9 from heart and one red from diamond.

So the number of outcome for red 9 =2

the probability of odds of selecting red 9 is \(\frac{2}{52}\) which can be further simplified into \(\frac{1}{26}\).

Therefore , The odds of selecting a red 9 is 1/26.

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Answer:

8

Step-by-step explanation:

1 gallon equals 4 quarts so 4*2=8

Answer:

2) The negative reciprocal of 4 is -1/4.

Using the point-slope form of a line (y - y1 = m(x - x1)), where (x1, y1) is the given point (-16, 2) and m is the slope:

y - 2 = -1/4(x - (-16))

y - 2 = -1/4(x + 16)

y - 2 = -1/4x - 4

y = -1/4x - 2

Therefore, the equation of the line perpendicular to y = 4x - 10 that passes through the point (-16, 2) is y = -1/4x - 2. So, the correct answer is A.

3) The given equation is y - 3x = -8. To find the equation of a line perpendicular to this, we need to determine the negative reciprocal of the slope of the given line, which is 3. The negative reciprocal of 3 is -1/3.

Using the point-slope form with the point (3, 2) and the slope -1/3:

y - 2 = -1/3(x - 3)

y - 2 = -1/3x + 1

y = -1/3x + 3

Therefore, the equation of the line perpendicular to y - 3x = -8 that passes through the point (3, 2) is y = -1/3x + 3. So, the correct answer is D.

4) The given line passes through the point (-5, 2) and the origin (0, 0). The slope of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1).

slope = (0 - 2) / (0 - (-5))

slope = -2 / 5

slope = -2/5

The negative reciprocal of -2/5 is 5/2. Therefore, the slope of a line perpendicular to the line passing through (-5, 2) and the origin is 5/2. So, the correct answer is D.

Answer:

The graph of  can be drawn by first draw the graph of  then draw the graph of   by multiplying the y-axis by 4 aand then taking the mirror image of   in x-axis.

Given :

To plot the graph of the function f(x) following steps can be use:

Step 1 - First draw the graph of .

Step 2 - Now, multiply y-axis by 4. After multiplying the y-axis by 4 the graph is called the graph of  .

Step 3 - Now, take the mirror image of  in x-axis. After taking the mirror image in x-axis the graph is called the graph of .

The graph of  is attached below.

From the above steps it can be concluded that the correct graph is shown in option C).

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Step-by-step explanation:

Answer:

The answer is the graph that is shown bellow

Step-by-step explanation:

I took the quiz

Answer:

Edith pagará $57.10 en total por su compra.

Step-by-step explanation:

Dado que Edith compra un kilogramo de jitomate de a $7.50; 4 kilogramos de papa de $9.20 el kilogramo y 2 kilogramo de cebolla de $6.40 el kilogramo, para determinar cuánto pagara en total se debe realizar el siguiente cálculo:

1 x 7.5 + 4 x 9.2 + 2 x 6.4 = X

7.5 + 36.8 + 12.8 = X

44.3 + 12.8 = X

57.1 = X

Por lo tanto, Edith pagará $57.10 en total por su compra.

Answer:

B,C,D

Step-by-step explanation:

B= solve your equation step-by-step.

y

1.75

=4

Step 1: Multiply both sides by 1.75.

y

1.75

=4

(

y

1.75

)*(1.75)=(4)*(1.75)

y=7

----------------------------------------------------------

C=  solve your equation step-by-step.

5y=35

Step 1: Divide both sides by 5.

\(\frac{5y}{5}\) = \(\frac{35}{5}\)

Thus y=7

---------------------------------------------------------

D= solve your equation step-by-step.

22+y=29

Step 1: Simplify both sides of the equation.

y+22=29

Step 2: Subtract 22 from both sides.

y+22−22=29−22

y=7

------------------------------------------------------------

Rodger's weekly unemployment amount is $697.54

What is the total of the quarterly wages of two consecutive quarters?

The total of the of the quarterly wages of two consecutive quarters is the sum of first quarter and second quarter wages

total of quarterly wages=$13,950.80+$13,950.80

total of quarterly wages=$27,901.60

unemployment compensation=total of quarterly wages/26

unemployment compensation=$27,901.60 /26

unemployment compensation=$1,073.14

The weekly unemployment amount is 65% of Rodger's state, unemployment compensation

weekly unemployment=65%*$1,073.14

weekly unemployment=$697.54

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