Answer:
B(-1,4)
Explanation:
Given: The midpoint of AB = M(0,3)
Coordinates of A = (1,2)
We substitute these values into the midpoint formula.
\(\begin{gathered} M(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}) \\ M(0,3)=(\dfrac{1+x_2}{2},\dfrac{2+y_2}{2}) \end{gathered}\)Equating the x-coordinates, we have:
\(\begin{gathered} \dfrac{1+x_2}{2}=0 \\ 1+x_2=0 \\ x_2=-1 \end{gathered}\)Equating the y-coordinates, we have:
\(\begin{gathered} \dfrac{2+y_2}{2}=3 \\ 2+y_2=6 \\ y_2=6-2 \\ y_2=4 \end{gathered}\)The coordinates of B are (-1,4).
Need a lot of helpppp
Answer:
A
Step-by-step explanation:
A is a triangular prism
IM just a little bit slow
Answer:
71°
Step-by-step explanation:
31-3x+19x-5=90
16x=90-26
16x=64
x=4
m<R=19x-5 = 19(4)-5 = 76-5 = 71
Answer:
x = 4
∠R = 71°
Step-by-step explanation:
COMPLEMENTARY ANGLES: TWO ANGLES WITH A SUM OF 90°.
\(31 - 3x + 19x - 5 = 90\)
To make this problem easier to solve, we can combine like terms.
\(26 + 16x = 90.\)
Now, we can proceed.
First, subtract 26 from 26 and 90.
\(26 - 26 = 0.\) (cancels itself out).
\(90 - 26 = 64.\\\)
Now, we are left with 16x = 64.
Lastly, we divide the number in front of the variable by the answer.
\(64/16 = 4\)
Therefore, the value of x is 4.
-------------------------------------------------------------------------------------------------------------
Now that we have the value of x, we can use this value to replace the variable (x).
\(19x - 5\)
\(19 * 4 - 5 = 71.\)
Therefore, the value of ∠R is 71°.
Make a table for each function rule. Then graph each equation using the points you created.
F (x) = 2x - 5
F (x) =-3x +6
F (x) =2/3x +4
Answer:
1.f(x)=2x-5
i will take the set {-2,-1,0,1,2}
f(-2)=2(-2)-5
=-4-5
=-9
f(-1)=2(-1)-5
=-2-5
=-7
f(0)=2(0)-5
=-5
f(1)=2(1)-5
=-3
f(2)=2(2)-5
=-1
so the coordinates of the function is {-9,-7,-5,-3,-1}
2.f(x)=-3x+6
i will the take the set {-2,-1,0,1,2} too
f(-2)=-3(-2)+6=6+6=12
f(-1)=-3(-1)+6=3+6=9
f(0)=-3(0)+6=6
f(1)=-3(1)+6=-3+6=3
f(2)=-3(2)+6=-6+6=0
{12,9,6,3,0}
3.f(x)=2/3.x+4
{-2,-1,0,1,2}
f(-2)=2/3(-2)+4=-4/3+4=(-4+12)/3=8/3
f(-1)=2/3(-1)+4=-2/3+4=(-2+12)/3=10/3
f(0)=2/3(0)+4=4
f(1)=2/3(1)+4=2/3+4=(2+12)/3=14/3
f(2)=2/3(2)+4=4/3+4=(4+12)/3=16/3
{8/3,10/3,4,14/3,16/3}
you're can graph those coordinates
actually you can take other coordinates...
CMIIW
,
what's 1+1 wrong answers only if you guess 2 or 11 your done
Answer: 2
Step-by-step explanation:
Change 75m to decimeters
Answer:
750 decimeters
Step-by-step explanation:
1 meter is equal to 10 decimeters.
so 75 times 10 equals your answer: 750 decimeters
Hope that helps!
Triangle XYZ has vertices at (0, 8). (6, 0), and (-4, 0). Which statements about triangle XYZ are Select ALL that apply.
Answer:
Area is 40 units
Perimeter is 28.94, which is approx 29 units
ANSWERS: B and D
Step-by-step explanation:
Area: 1/2(10x8)=40
Perimeter:
4^2 + 8^2 = 80 sqrt(80) = 8.94
6^2 + 8^2 = 100 sqrt(100) = 10
distance from -4 to 6 is 10.
10 + 10 + 8.94 is 28.94, which is approx 29 units.
Two cylinders, a and b, each started with different amounts of water. The graph shows how the height of the water changed as the volume of water increased in each cylinder. Match the graphs of a and b to Cylinders P and Q. Explain your reasoning. height in centimeters b volume in milliliters P
To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.
Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.
The reasoning behind this is as follows:
Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.
Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.
In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.
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sat question I can’t seem to understand fully.
The value of m + n is given as follows:
A. 18.
How to obtain the value of m + n?The exponential expression for this problem is defined as follows:
\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)
Applying the power of power rule, we have that the exponents are given as follows:
x: 5/5 + 3/4 = 1 + 3/4 = 7/4.y: 6/5 + 4/4 = 6/5 + 1 = 11/5.Then the values of m and n are given as follows:
m = 7, n = 11.
Thus the sum is given as follows:
m + n = 7 + 11 = 18.
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Rammy has $9.60 to spend on some peaches and a gallon of milk. Peaches cost $1.20 per pound, and a gallon of milk cost $3.60.
The inequality 1.20x + 3.60 < 9.60 models this situation, where x is the number of pound of peaches. solve the inequality. How many pounds of peaches can Rammy buy?
Answer:
Rammy can buy 5 pounds of peaches
Step-by-step explanation:
1.20(5) + 3.60 = 9.60
subtract the cost of the gallon from the total amount and then divide the leftover cost $6 by $1.20 and you'll get 5.
CAN SOME TELL ME THE ANSWER
Answer:
54 kids per bus
Step-by-step explanation:
first take 7-331 and you get 324 divided by 6= 54
Given the function P(x) = x3 + 4x² + kx + 15, for what value of k is
(x+3) a factor of P(x)?
The value of k is 8
x + 3 is a factor of P(x) using the factor theorem if P(-3) = 0.
Since P(x) = x³ + 4x² + kx + 15
P(-3) = (-3)³ + 4(-3)² + k(-3) + 15
P(-3) = -27 + 4(9) - 3k + 15
P(-3) = -27 + 36 - 3k + 15
Collecting like terms
P(-3) = 24 - 3k
Since P(-3) = 0, since x + 3 is a factor, we have that
24 - 3k = 0
Adding 3k to both sides, we have
3k = 24
Dividing both sides by 3
k = 24/3
k = 8
So, the value of k is 8
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Enter the number that belongs in the green box
PLEASE HELP FAST
3(1 – 2x) > 3 – 6x
For x
Answer:
the statement is false for any value of x
Step-by-step explanation:
Answer:
\( \boxed{ x < 0}\)
Step-by-step explanation:
\(if \to : \\ 3(1 – 2x) > 3 – 6x \\ then \to : \\ 3(1 – 2x) > 3 – 6x = \\ 3 - 6x > 3 - 6x = \\ - 3 + 3 > - 6x + 6x \\ 0 > x( -6 + 6) \\ 0 > x(0) \\ x < \frac{0}{0} \\ \boxed{ x < 0}\)
find the value of 4x-6y when x=3 and y=-5
Answer:
\(\bold{42}\)
Step-by-step explanation:
Hi there!
4x-6y
Plug in the values of x and y:
\(\bold{4(3)-6(-5)}\)
\(\bold{12+30}\)
\(\bold{42}\)
Thus, \(\bold{42}\) is our final answer.
Hope it helps! Enjoy your day!
~Just a teen willing to help others
\(\bold{GazingAtTheStars}\)
Whats (c) ????????????? ????
Answer:
11
Step-by-step explanation:
yeah-ya............ right?
Check the picture below.
a victorian building has one room in the shape of a rhombus. if the vertical ceiling height is 10 ft, find the floor area to be used in calculating a volume of air in the room.
The floor area of a rhombus is equal to (1/2) × diag1 × diag2 is equal to 100 ft^2
diag1 = sqrt((10 ft)^2 + (10 ft)^2)
diag2 = sqrt((10 ft)^2 + (10 ft)^2)
Floor area = (1/2) × (sqrt((10 ft)^2 + (10 ft)^2)) × (sqrt((10 ft)^2 + (10 ft)^2))
= (1/2) × (14.14 ft) × (14.14 ft)
= 100 ft^2
1. Find the length of the diagonals of the rhombus.
diag1 = sqrt((10 ft)^2 + (10 ft)^2)
diag2 = sqrt((10 ft)^2 + (10 ft)^2)
2. Use the formula for the floor area of a rhombus.
Floor area = (1/2) × diag1 × diag2
3. Substitute the diagonals into the formula.
Floor area = (1/2) × (sqrt((10 ft)^2 + (10 ft)^2)) × (sqrt((10 ft)^2 + (10 ft)^2))
4. Simplify.
Floor area = (1/2) × (14.14 ft) × (14.14 ft)
= 100 ft^2
Find the length of the diagonals of the rhombus (sqrt((10 ft)^2 + (10 ft)^2)). Use the formula for the floor area of a rhombus (1/2 × diag1 × diag2). Substitute the diagonals into the formula and simplify to find the floor area (100 ft^2).
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Together, teammates Pedro and Ricky got 2685 base hits last season. Pedro had 285 more hits than Ricky. How many hits did each player have?
Answer:
Ricky has 1204 hits and Pedro has 1481 hits.
Step-by-step explanation:
Answer: pedro had 1,200 and ricky had 1,485
Step-by-step explanation: all i did was 2685 - 285 which equals 2,400. then i did 2,400 divided by 2 which was 1,200, pedro had 1.200 hits.
1,200 add 285 equals 1,485. ricky has 1,485. to double check add 1,200 and 1,485 and you should get 2,685
what is 4/5 divided by 8/9
Use the following table to find the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Students on the Student Government Board
On-Campus Housing Off-Campus Housing
Freshman 2 2
Sophomore 2 4
Junior 0 3
Senior 4 2
Graduate Student 2 0
The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).
1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:
Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19
2. Calculate the total number of graduate students on the Student Government Board:
Total Graduate Students = 2 + 0 = 2
3. Calculate the total number of students living in on-campus housing:
Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10
4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:
Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19
5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:
Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19
6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:
Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19
7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.
8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).
9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.
Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).
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Given ADEF: ARST, find the scale factor
Answer:
the scale factor is 3/4
x = 16×3/4 = 12
Step-by-step explanation:
the only side length we have for both triangles is the short left side.
we see that we get ED from SR and need to transform 4 into 3. how do we do that ?
well,
4×f = 3
f = 3/4
that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).
therefore,
x = EF = ST×f = 16×3/4 = 4×3 = 12
Answer:
The scale factor is 4/3 and x is 12
Step-by-step explanation:
→ Divide RS by DE
4 ÷ 3 = 4/3
→ Divide the answer by 16
16 ÷ 4/3 = 12
The last dividend of Delta, Inc. was $5.95, the growth rate of dividends is expected to be 3.14 percent, and the required rate of return on this stock is 11.88 percent. What is the stock price according to the constant growth dividend model?
Round the answer to two decimal places.
Your Answer:
The stock price according to the constant growth dividend model is $68.11 (rounded to two decimal places).
What is stock price?The market value of a share of ownership in a publicly traded corporation is referred to as a stock price.
It is the price that investors are prepared to pay to purchase or sell the company's shares at a specific time, depending on the company's financial performance, its future growth prospects, and the state of the market as a whole.
Investors, analysts, and other members of the financial community pay careful attention to the stock price as it is frequently viewed as a significant indicator of the company's overall worth and health.
According to the constant growth dividend model, the stock price (P) is given by the formula:
P = D / (r - g)
where D is the last dividend, r is the required rate of return, and g is the growth rate of dividends.
Substituting the given values, we get:
P = 5.95 / (0.1188 - 0.0314)
P = 5.95 / 0.0874
P = 68.11
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Triangle ABC with vertices at A(4, 3), B(3, −2), C(−3, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.
The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).
1. Start by calculating the distance between the vertices of the original triangle ABC:
- Distance between A(4, 3) and B(3, -2):
Δx = 3 - 4 = -1
Δy = -2 - 3 = -5
Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26
- Distance between B(3, -2) and C(-3, 1):
Δx = -3 - 3 = -6
Δy = 1 - (-2) = 3
Distance = √((-6)² + 3²) = √45 = 3√5
- Distance between C(-3, 1) and A(4, 3):
Δx = 4 - (-3) = 7
Δy = 3 - 1 = 2
Distance = √(7² + 2²) = √53
2. Apply the scale factor of 1.5 to the distances calculated above:
- Distance between A' and B' = 1.5 * √26
- Distance between B' and C' = 1.5 * 3√5
- Distance between C' and A' = 1.5 * √53
3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):
- A' is located Δx units horizontally and Δy units vertically from A.
- Δx = 1.5 * (-1) = -1.5
- Δy = 1.5 * (-5) = -7.5
- Coordinates of A':
x-coordinate: 4 + (-1.5) = 2.5
y-coordinate: 3 + (-7.5) = -4.5
4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).
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How should a random heterogeneous material be sampled in order to construct a representative sample?
Answer:
Explained below.
Step-by-step explanation:
Heterogeneous denotes to a form with different components or features, give the impression as uneven or varied.
A heterogeneous population or sample is the one where each and every individual has a diverse value for the distinctive characteristic one is interested in.
To select a representative sample from the random heterogeneous material one should divide the material into segments and then use random number, either by the random number table or by the random number generator, to select random segments of the material.
A three-way intersection is sometimes called a
T-intersection
Y-intersection
Both a and b
Neither a nor b
Answer:
Both A and B
Step-by-step explanation:
Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.
from the given graph: state it's
a) amplitude
b) period
c) function of the graph:
Step-by-step explanation:
The amplitude is 2. Amplitude means height from the x-axis to the crest/trough.
The period is 2pi. It is from crest to crest (next crest) or trough to trough (next trough).
Note that crest are the highest points of a wave, and that troughs are the lowest points of a wave. (we are talking about transverse waves, but this is more of a physics thing).
Function of graph:
By playing around in a graphing calculator, I got the equation to be
2 (cos (x + pi/2)).
the 2 changes the amplitude, and the + pi/2 shifts the graph by pi/2 to the left.
need help with this question bad
Answer:
y = \(\frac{4}{3} x\)
Step-by-step explanation:
The equation is y = \(\frac{4}{3} x\). To draw the line, take two points (0, 0) and (3, 4). You can draw a straight line connecting those points.
Answer:
Step-by-step explanation:
this woukd have to make y = \(\frac{4}{3}\)x in order for the rest to become proportional with the x axis. so im pretty sure this is correct
im not 100% on this one, because im going through something else right now, but im 87% sure that this is correct. hope this helped :)
A rectangular field is four times as long as it is wideIf the perimeter of the field is 300yards, what are the field's dimensions?
Answer:
Length = 120 yards, width = 30 yards.
Step-by-step explanation:
Lets use \(l\) for length and \(w\) for width.
The perimeter of a rectangular field is \(2l + 2w\). We can construct the following equations:
\(4w = l\).
\(2l + 2w = 300.\)
If we plug \(4w\) in for \(l\) into the second equation, we get:
\(2w + 2(4w) = 300.\)
\(2w+8w = 300.\)
\(10w = 300.\)
\(w= 30.\)
Plug 30 in for \(w\) into the first equation.
\(l = 4*30 = 120.\)
Length = 120 yards, width = 30 yards.
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question.
Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell us?
70 54 46 85 61 81 45 6 35 39 3
The mean is 47.73.
The median is 46.
The dataset has no mode.
The midrange is 44.
What is the mean, mode, median and midrange?
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
Mean = (70 + 54 + 46 + 85 + 61 + 81 + 45 + 6 + 35+ 39 + 3) / 11
= 525 /11 = 47.73
Median is a measure of central tendency that is used to determine the number that is at the center of a set of values when the numbers are arranged in either ascending or descending order.
3, 6, 35, 39, 45, 46, 54, 61, 70, 81, 85
The median is 46.
Mode is the most frequent number in a dataset. The jersey numbers only occur once. Thus, there is no mode.
Midrange is the average of the maximum and minimum values of the dataset.
Midrange = (maximum value + minimum value) / 2
Midrange = (3 + 85) / 2
Midrange = 88 / 2
Midrange = 44
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Selena picks 1/2
bushel of apples in 1/3 hour. How many bushels of apples does Selena pick in
one hour at this rate?
Please help :) <3
Answer:
1.5 bushels/hour
Step-by-step explanation:
0.5 bushels per ⅓ hour = 1.5 bushels per hour. (Multiple by the reciprocal of 3.)
Answer:
200 apples Selena picks (I could possibly be wrong)
You dont have to help but it would be nice if you would :)
Ethan invested $25,000 in an account that earns 4.25% simple interest. If Ethan doesn't make any additional deposits or withdrawals, how much interest will he have earned after 9 years?
Answer:
I think it might be $36,360.06
Step-by-step explanation: