Answer: u r supposed to solve for substitution/add/subtract and ur answer should be (-2,9)
Step-by-step explanation:
A rectangle has vertices at the points A(-4,-5), B(-4, 3), C(3, 3), and D(3,-5) as
shown below. The distance between points A and D is the length of the rectangle. The
length of the rectangle is
units.
Answer:
7 units
Step-by-step explanation:
You want the distance between A(-4, -5) and D(3, -5).
Distance from coordinatesThe given coordinates are the end points of a horizontal line segment. Its length is the difference of the x-coordinates:
length = 3 -(-4) = 3+4 = 7
The length of the rectangle is 7 units.
__
Additional comment
The width of the rectangle is AB = 3 -(-5) = 8 units. This is the difference of the y-coordinates of the vertical line segment end points.
Express your answer as a decimal (to the nearest hundredth).
What part of an hour is 20 minutes?
0.25
0 0.375
0.50
0.33
Answer:
0.33
Step-by-step explanation:
An hour is 60 minutes. 20 goes into 60 three times, so it is 1/3 of an hour or 0.333333333333, etc. As a percent, 20 minutes is 33.33%. Converted to a decimal, it is 0.33 or 1/3 of an hour
If I had 20 apples and I have to share with 5 peoplw how many apples each would each person get. 20 Points.
Answer:
4 appels if you dont get any but if you get one as well 3
Step-by-step explanation:
Answer:
4 apples
Step-by-step explanation:
Number of apples I have = 20 apples
Number of people = 5 people
Number of apples to be given to each person = 20/5 = 4 apples each
Therefore, each person should receive 4 apples.
Hope this helps! :)
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0), B(6, 0), C(6, 7), D(2, 7). What is the area of rectangle A, B, C, D? square units NEED ASAP 40 POINTS LIGIT
Answer:
\(\boxed{\sf \ \ 28 \ \ }\)
Step-by-step explanation:
Hello,
Please find attached the graph
AB = 6-2 = 4
DA = 7-0 = 7
So the area of the rectangle is AB * DA = 4 * 7 = 28
Hope this helps
Suppose there are two producers in a market with the following supply functions. Supply 1: P=6+0.7Q Supply 2:P=16+0.6Q When the price is [Answer], the total quantity supplied is 250. (In decimal numbers, with two decimal places, please.) Answer:
The price at which the total quantity supplied is 250 is $11.58.
In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.
Supply 1: P = 6 + 0.7Q
Supply 2: P = 16 + 0.6Q
To find the equilibrium price, we set the total quantity supplied equal to 250:
0.7Q + 0.6Q = 250
1.3Q = 250
Q = 250 / 1.3 ≈ 192.31
Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:
P = 6 + 0.7Q
P = 6 + 0.7 * 192.31
P ≈ 6 + 134.62
P ≈ 140.62
Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.
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1. The faculty members at McAdenville High School want to determine whether there are enough students to have a Winter Formal. Sixty-three of the 150 students surveyed said they would attend the Winter Formal. Construct and interpret a 99% confidence interval for p.
The 99% confidence interval is (0.3162, 0.5238). We are 99% confident the true proportion of students attending the Winter Formal is between 31.62% and 52.38%. The 99% confidence interval is (0.3162, 0.5238). There is a 99% chance that a randomly selected student who will attend the Winter Formal lies between 31.62% and 52.38%. The 99% confidence interval is (0.3162, 0.5238). Ninety-nine percent of all samples of this size will yield a confidence interval of (0.3162, 0.5238). The 99% confidence interval is (0.4762, 0.6838). We are 99% confident that the true proportion of students attending the Winter Formal is between 47.62% and 68.38%. The 99% confidence interval is (0.4762, 0.6838). Ninety-nine percent of all samples of this size will yield a confidence interval of (0.4762, 0.6838).
The first statement is correct. The 99% confidence interval is (0.3162, 0.5238). We are 99% confident the true proportion of students attending the Winter Formal is between 31.62% and 52.38%. However, the rest of the statements are incorrect.
"There is a 99% chance that a randomly selected student who will attend the Winter Formal lies between 31.62% and 52.38%." is incorrect, this statement is about a probability of a single student, but the confidence interval is about a probability of the whole population.
"Ninety-nine percent of all samples of this size will yield a confidence interval of (0.3162, 0.5238)." is correct, this statement is true, but it doesn't add any additional information.
"The 99% confidence interval is (0.4762, 0.6838)." is incorrect, this value is not the correct confidence interval.
"We are 99% confident that the true proportion of students attending the Winter Formal is between 47.62% and 68.38%." is incorrect, this statement is not true, as the confidence interval is not (0.4762, 0.6838) but (0.3162, 0.5238)
"Ninety-nine percent of all samples of this size will yield a confidence interval of (0.4762, 0.6838)." is incorrect, as this is not the correct confidence interval.
In conclusion, the faculty members at McAdenville High School can be 99% confident that the true proportion of students who will attend the Winter Formal is between 31.62% and 52.38%.
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If an event is unlikely to occur, its probability will be a negative number.
A) true
B) false
Answer
False
Step-by-step explanation:
The max number is 1 and so the unlikelier the number, the less value the number will be.
For example: The likelyhood of fliping a coin and landing on heads: 0.5
Hopes this makes sense!
The graph shows the relationship between the number
of cups of flour and the number of cups of sugar in
Angela's brownie recipe.
The table shows the same relationship for Jaleel's
brownie recipe.
Jaleel and Angela buy a 12-cup bag of sugar and divide
it evenly to make their recipes.
If they each use ALL of their sugar, how much FLOUR
do they each need?
Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Angela's brownie recipe.
And, The table shows the same relationship for Jaleel's brownie recipe.
Hence, The equation for Angela's brownie recipe is,
Two points on graph are (4, 2) and (2, 1)
⇒ y - 2 = (2 - 1)/ (4 - 2) (x - 4)
⇒ y - 2 = 1/2 (x - 4)
⇒ y - 2 = 1/2x - 2
⇒ y = 1/2x
And, The equation for Jaleel's brownie recipe is,
Two points on graph are (3/2, 1) and (3, 2)
⇒ y - 1 = (2 - 1)/ (3 - 3/2) (x - 4)
⇒ y - 1 = 2/3 (x - 4)
⇒ y - 1 = 2/3x - 8/3
⇒ y = 2/3x - 8/3 + 1
⇒ y = 2/3x - 5/3
So, For Jaleel and Angela buy a 12-cup bag of sugar.
The equation for Angela's brownie recipe is,
⇒ y = 1/2x
⇒ y = 1/2 × 12
⇒ y = 6
The equation for Jaleel's brownie recipe is,
⇒ y = 2/3x - 5/3
⇒ y = 2/3 × 12 - 5/3
⇒ y = 19/3
Thus, Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.
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SOLVE THE SYSTEM3x+y=25x+2y=5
Use the substitution method to solve the system of equations.
Notice that the coefficient of y in the first equation is 1:
\(3x+y=2\)Then, isolate y from the first equation. Next, replace the expression for y in the second equation to obtain a single equation with the x-variable only:
\(\begin{gathered} 3x+y=2 \\ \Rightarrow y=2-3x \end{gathered}\)\(\begin{gathered} 5x+2y=5 \\ \Rightarrow5x+2(2-3x)=5 \end{gathered}\)Solve for x:
\(\begin{gathered} \Rightarrow5x+4-6x=5 \\ \Rightarrow-x+4=5 \\ \Rightarrow-x=5-4 \\ \Rightarrow-x=1 \\ \\ \therefore x=-1 \end{gathered}\)Replace the value of x into the expression for y:
\(\begin{gathered} y=2-3x \\ \Rightarrow y=2-3(-1) \\ \Rightarrow y=2+3 \\ \\ \therefore y=5 \end{gathered}\)Therefore, the solution for the given system of equations is:
\(\begin{gathered} x=-1 \\ y=5 \end{gathered}\)a)ab
b)bh
c)gc
d)fe
help me please
Answer:
Its a
Step-by-step explanation:
Answer:
Letter C) bh
Step-by-step explanation:
Segment bh is straight across cd and parallel line extend in the same direction but never intersect.
Hope this helps
What the reciprocal of 6 , 13, 1/2
Answer:
1/6, 1/13, and 2
Step-by-step explanation:
The reciprocal of a number is simply "1" divided by that number.
Reciprocal of 6 = 1/6
Reciprocal of 13 = 1/13
Reciprocal of 1/2 = 2
Therefore, the reciprocals of 6, 13, and 1/2 are 1/6, 1/13, and 2
Hope this helps!
Answer:
1/6, 1/13, 2
Step-by-step explanation:
The reciprocal of a number is the inverse of that number.
6 is the same as 6/1, and the inverse (formed by basically flipping the fraction) is 1/6
Then, for 13, we can do the same thing. 13/1 inverted is 1/13, and 1/2 inverted is 2/1, or just 2.
Hope that helps :)
1. Find all points with coordinates of the form (a, a) that are a distance 8 from P(−7, 1).
(x, y) = ( )
(x, y) = ( )
2. Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.) Center C (-3, 4) passing through P (3, 1)
3. Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.) Center at the origin, passing through P (3, -6)
4. Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.) Endpoints of a diameter A(6, −7) and B (−2, 9)
1. The required coordinates must be in the form (a, a), the required points are given by the following coordinates:(-51/64, -51/64) and (51/64, 51/64).
2. The equation of the circle is given by: (x + 3)^2 + (y - 4)^2 = 58.
3. The equation of the circle is given by: x^2 + y^2 = 45.
4. The equation of the circle is given by: (x - 2)^2 + (y - 1)^2 = 80.
1. We are required to find all points with coordinates of the form (a, a) that are a distance of 8 from the point P (-7,1).
Let the required point be (a, a).
According to the distance formula, the distance between the two points is given by:
√[ (a -(-7))^2 + (a - 1)^2 ] = 8
Simplifying, we get: √[ (a + 7)^2 + (a - 1)^2 ] = 8
Squaring both sides, we get: (a + 7)^2 + (a - 1)^2 = 64a^2 + 14a + 50 = 64
a^2 + 14a - 14a + 1 + 50= 64a^2 + 51
Solving the quadratic equation: 64a^2 + 51 = 0
On solving, we get the following values of 'a':
a = (-51/64) or a = (51/64)
Since the required coordinates must be in the form (a, a), the required points are given by the following coordinates:(-51/64, -51/64) and (51/64, 51/64).
2. We are required to find the equation of the circle that satisfies the stated conditions.
The center of the circle is (-3, 4) and it passes through the point P (3, 1).
Let (x, y) be any point on the circle.
Then, by the distance formula, we have:(x - (-3))^2 + (y - 4)^2 = (radius)^2
Since the point P (3, 1) is on the circle, we can use this point to get the value of the radius:
(3 - (-3))^2 + (1 - 4)^2 = (radius)^2
Simplifying, we get: radius = √(49 + 9) = √58
Therefore, the equation of the circle is given by:(x + 3)^2 + (y - 4)^2 = 58.
3. We are required to find the equation of the circle that satisfies the stated conditions.
The center of the circle is at the origin (0,0) and it passes through the point P (3, -6).
Let (x, y) be any point on the circle.
Then, by the distance formula, we have:
x^2 + y^2 = (radius)^2
Since the point P (3, -6) is on the circle, we can use this point to get the value of the radius:
3^2 + (-6)^2 = (radius)^2
Simplifying, we get: radius = √(45)
Therefore, the equation of the circle is given by: x^2 + y^2 = 45.
4. We are required to find the equation of the circle that satisfies the stated conditions.
The endpoints of a diameter are A(6, −7) and B (−2, 9).
The midpoint of the line segment AB is the center of the circle.
The coordinates of the midpoint are given by: [ (6 + (-2))/2 , (-7 + 9)/2 ] = (2, 1)
Therefore, the center of the circle is (2, 1).
The radius of the circle is half the length of the line segment AB.
Using the distance formula, we have:√[ (6 - (-2))^2 + (-7 - 9)^2 ] = √(64 + 256) = √320
Therefore, the radius of the circle is √320/2 = 4√5.
The equation of the circle is given by: (x - 2)^2 + (y - 1)^2 = 80.
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June’s portfolio includes 177 shares of parchar special effects, 213 shares of giaco household goods, and 152 shares of raxin accounting. if parchar special effects pays a yearly dividend of $8.21 per share, giaco household goods pays $6.97 per share, and raxin accounting pays $11.44 per share, how much does june earn in dividends per year? a. $4,449.82 b. $4,676.66 c. $3,777.74 d. $6,200.48
June's earning in dividends per year will be $4676.66
What will be junes earning?Earnings are the profit that a company produces in a specific period, usually defined as a quarter or a year. After the end of each quarter
It is given in the question that:
No. of shares of Parchar Special Effects = 177
If Parchar Special Effects pays a yearly dividend of $8.21 per share
So, It pays a yearly dividend for 177 shares
= \(177\times 8.21=1453.17\)
No. of shares of Giaco Household Goods = 213
Giaco Household Goods pays $6.97 per share
So, It pays a yearly dividend for 213 shares
= \(213\times6.97=1484.61\)
No. of shares of of Raxin Accounting= 152
Raxin Accounting pays $11.44 per share
So, It pays a yearly dividend for 152shares
= \(152\times 1.44=1738.88\)
So,June earn in dividends per year
=\(1453.17+1453.17+1738.88=4676.66\)
Hence June earn $4676.66 dividends per year
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Answer:
B
Step-by-step explanation:
$4,676.66
Please help!! Pleaseeee
Make a greatest five digit number (5 different digits) with 1 is always at tens placea.99817b.98716c.98761
Answer:
a. 99817
Step-by-step explanation:
The 9 in the thousands place is larger than the 8 in the thousands place in the other two options.
Hope this helps!
write an expanded form and find the sum . plzz solve it 100% right...
Step-by-step explanation:
n = 0 : 2(0) -1 = -1
n = 1 : 2(1) - 1 = 1
n = 2 : 3
n = 3 : 5
n = 4 : 7
n = 5 : 9
sum = -1 + 1 + 3 + 5 +7 + 9 = 25
In a survey of men in a certain country (ages 20 - 29), the mean height was 64.7 inches with a standard deviation of 2.9 inches. (a) What height represents the 90th percentile? (b) What height represents the first quartile?
Answer:
Step-by-step explanation:
(a) To find the height that represents the 90th percentile, we would need to use a standard normal distribution table and a Z-score. We need to first find the Z-score corresponding to the 90th percentile by solving for Z using the formula:
Z = (x - μ) / σ
Where x is the height at the 90th percentile, μ is the mean height (64.7 inches), and σ is the standard deviation (2.9 inches).
Z = (x - 64.7) / 2.9
Since the 90th percentile corresponds to a Z-score of 1.28, we can use the above formula to find x:
x = μ + Zσ
x = 64.7 + (1.28)(2.9)
x = 68.9 inches
So, the height that represents the 90th percentile is 68.9 inches.
(b) To find the first quartile (25th percentile), we would use a Z-score of -0.67.
x = μ + Zσ
x = 64.7 + (-0.67)(2.9)
x = 62.3 inches
So, the height that represents the first quartile is 62.3 inches.
Which of the following best describes the technique used to graph the equation y = 9x + 4using the slope and y-intercept?
A. Mark a point at 4 on the y-axis, go down 9 and right one and mark this point.
B. Mark a point at 9 on the y-axis, go up 4 and right one and mark this point.
C. Mark a point at 4 on the y-axis, go up 9 and right one and mark this point.
D. Mark a point at 9 on the y-axis, go up 4 and left one and mark this point.
Answer:
C
Step-by-step explanation:
Answer:
Mark a point at 4 on the y-axis, go up 9 and right one and mark this point.
Step-by-step explanation:
Solve each system using substitution.
y = 2x
6x - y = 8
3x + 5y = 2
x + 4y = -4
Answer for 50 BRAINLIST!!!
Answer:
\((2, 4)\rightarrow\text{First system}\)
\((4, -2)\rightarrow\text{Second system}\)
Step-by-step explanation:
First system:
We can substitute 2x for y:
\(6x-y=8\\6x-2x=8\\4x=8\)
Divide both sides by 4
\(x=2\)
Substitute 2 for x to solve for y:
\(y=2x=2(2)=4\)
\((x, y)=(2, 4)\)
Second system:
We can isolate x in the second equation by subtracting 4y from both sides:
\(x=-4-4y\)
Now, substitute this value for x in the first equation:
\(3(-4-4y)+5y=2\\\)
Distribute the 3 to each term in the parentheses:
\(3(-4)+3(-4y)+5y=2\\-12-12y+5y=2\\-12-7y=2\)
Add 12 to both sides:
\(-7y=14\)
Divide both sides by -7
\(y=-2\)
Now, substitute -2 for y to solve for x:
\(x=-4-4y=-4-4(-2)=-4+8=4\)
\((x, y)=(4, -2)\)
Enter the sum of numbers as a product of their GCF. 75 + 30 The sum of the numbers as a product of their GCF is
Answer: 75+30 = 15 x 7
Step-by-step explanation:
The given expression is 75+30 (=105) which defines the sum of 75 and 30.
Prime factorization of 75 and 30 are as below:
75 = 5 x 5 x 3
30 = 5 x 3 x 2
GCD (75,30) = 5x 3 = 15 [Note: GCD = Greatest common divisor]
Consider 75+30 = (15 x 5) + (15 x 2) [75 = 15 x 5 and 30= 15 x 2]
= 15 (5+2) [taking 15 as common ]
= 15 x (7)
(=105)
So, 75+30 which is sum of the numbers and it is expressed as 15 x 7 which a product of their GCF.
A rectangular prism measures 2 in. by 4 2/3in. by 3 in.
A Noah says. "It takes more cubes with edge length of 2/3 in. than cubes with edge length of 1/3 in. to pack the prism." Do you agree with Noah? Explain your thinking
B How many cubes with edge length of 1/3 in. would pack the prism? Explain your thinking.
C Show or explain how you can use your answer from part b to determine the volume of the prism in cubic inches.
Noah's statement that "It takes more cubes with edge length of 2/3 in. than cubes with edge length of 1/3 in. to pack the prism." is incorrect
How to determine if Noah is rightFrom the question, we have the following parameters that can be used in our computation:
A rectangular prism measures 2 in. by 4 2/3in. by 3 in.
Using the above as a guide, we have the following:
Volume = (2 * 4 2/3 * 3)
Evaluate
Volume = 28
The number of cubes of 2/3 in it can take is
Number = 28/([2/3)^3] = 94.5
The number of cubes of 1/3 in it can take is
Number = 28/([1/3)^3] = 756
756 is greater than 94.5
Hence, Noah's conclusion is incorrect
How many cubes of 1/3 in are in the prismIn (a), we have
756 cubes of 1/3 in are in the prism
The explanationTo determine, the volume we multiply the number of cubes by the volume of the cube
ie. Volume = 756 * (1/3)^3
Volume = 28
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Heyy, If anyone can find the answer to this question, I’ll literally be in your DEBT
\(Answer: the\ number\ is\ \boxed{-26}\)
Step-by-step explanation:
\(2(n-4)=3(n+6)\\2(n)-2(4)=3(n)+3(6)\\2n-8=3n+18\\2n-8-18=3n+18-18\\2n-26=3n\\2n-26-2n=3n-2n\\-26=n\\Thus,\\n=-26\)
The graph shows the locations of point C and point D. Point E is graphed at (n, 2).
The distance from point D to point E is equal to the distance from point D to point C.
What is the distance from point D to point E? What is the value of n? Enter your answers in the boxes.
Answer:
4,n=4
Step-by-step explanation:
D=(n,-2) and E=(n,2)
the distance from D to E ,
√{(n-n)^2+(-2-2)^2}=√16=4
the co-ordinate of point C=(0,-2)
given,DC=DE
→√{(n-0)^2+(-2+2)^2}=√16
→n^2=16
therefore,n=4
i’m confused on this please help
Answer:
C) On average, children grow about 9 inches every 2 years.
Step-by-step explanation:
Think about what the slope 9/2 means:
Slope is Change in Y / Change in X which is Change in Height / Change in Age, so 9 inches / 2 years means that on average, children grow about 9 inches every 2 years.
Please help me on my assignment I have to do it before taking the test
Answer:
26
Step-by-step explanation:
w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26
WHO's BIRTHDAY was on 24 January?
my bday was yesterday
mentors can u please not remove this because i want this to be here and I WILL be VERy HApy
happy belated birthday!
Trevor currently pays $3,592.40 per month for his mortgage payment. That is 1.6% more than it was last year, due to refinancing. What was the previous payment amount? Round your answer to the nearest cent.
Answer:
$3534.9216
Step-by-step explanation:
1.6% of 3,592.40 = 57.4784
3,592.40 - 57.4784 = 3534.9216
2x - 30 = 9x - 128
Find the value of x
Answer:
2x-30 =9x-128
-30+128= 9x-2x
98= 7x
x= 98/7
14
Answer:
x= 14
Explanation is in the picture below :)
Valerie has 2 envelopes in each of her 3 drawers. Each envelope has 6 stickers. How many stickers does she have in all?
Answer:
36
Step-by-step explanation:
2 envelopes x 3 drawers = 6 envelopes.
Each envelope has six stickers.
6 x 6 = 36
Answer:
36
Step-by-step explanation:
As the heart beats, blood pressure increases and decreases. This happens cyclically at the rate of the person’s heart beat. A doctor is monitoring the blood pressure of a patient whose heart rate is 70 beats per minute. The maximum blood pressure over the course of a 10-minute period is 120 mm/Hg and the minimum is 60 mm/Hg. Find a sine function that models the person’s blood pressure as a function of time (in minutes). F(x) = 30 sin(140πt) 90 f(x) = 60 sin(70πt) 30 f(x) = 60 sin(140πt) 90 f(x) = 30 sin(70πt) -60.
Sin function goes up and down, standard amplitude is 1 unit. The sin function modelling the given situation is \(f(x) = 30\sin(\dfrac{\pi x}{5}) + 90\)
How does sine function works?Suppose that we've got
\(f(x) = a\sin(bx + c) + d\)
It has got
Amplitude or maximum height from average motion horizontal axis = a+dAnd thus, the minimum low from horizontal axis is -a (sin ranges from -1 to 1, and multiplying a to it make it range from -a + d to a).Period of wave: \(\dfrac{2\pi}{b}\)Phase shift (horizontal left shift) = c/bHorizontal line around which wave moves is: y = dThe situation given has:
Maximum blood pressure as 120 mm/Hg = a + d
Minimum blood pressure as 60 mm/Hg = -a + d
Thus, adding both will give:
\((a+d) + (-a + d) = 120 + 60\\2d = 180\\d = 90\)
Thus, as a + d = 120, thus, a = 120-d = 120 - 90 = 30
Now, The period is given to be 10 minutes, or we get:
\(\dfrac{2\pi}{b} = 10\\\\b = \dfrac{\pi}{5}\)
Since count started from 0, thus, c= 0
Therefore, the sine function modelling the given situation is:
\(f(x) = a\sin(bx + c) + d \\\\f(x) = 30\sin(\dfrac{\pi x}{5}) + 90\)
Here x is the number of minutes passed.
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Answer:
A
Step-by-step explanation: