Answer:
It is congruent to the angle F, as they are similar triangles.
Is (-6, 8) a solution to this system of equations?
y = 8
7x + 4y = -10
yes
Or
no
Answer:
7(-6) + 4(8) = -42 + 32 = -10, so (-6, 8) is the solution to this system of equations.
The answer is Yes.
5/2 pounds to ounces
5/2 pounds is equal to 40 ounces.
We have to find the 5/2 pounds to ounces
1 pound is equal to 16 ounces.
To convert 5/2 pounds to ounces, we can multiply by 16:
5/2 pounds × 16 ounces/pound = 40 ounces
Therefore, 5/2 pounds is equal to 40 ounces.
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Write an equation of the line using function notation.
Slope 0; through (−3,−2)
The equation of the line is f(x)=
The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.
Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.
This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.
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What percentage of growth is needed annually to reach 400,000 in 3 years if today I have 200,000
Answer:
approx 26%
Step-by-step explanation:
you try find the multiplier
200000 * 1. ???? ^3= 400000
rearrange equation
\(\sqrt[3]{\frac{400000}{200000} }\) = multiplier
1.25992105
subract one
0.25992105
multiply by 100 to get percentage
25.9%
rounded to whole number = 26%
Match the functions f(x, y, z) with the description of their gradients. No reasons needed.
(a) x2 + y2 + z2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(b) x2 + y2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(c) 1/x2 + y2 + z2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(d) 1/x2 + y2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
Answer:
1. C points radially outward from origin
2. A. Points radially outward from z origin
3. D. Radially inwards toward origin
4. B. Inwards towards the z axis
Step-by-step explanation:
1.
X²+y²+z² = f(x,y,z)
Vector P<x,y,z>
2<x,y,z> = 2p
The answer is c points radially outward from origin
2.
X²+y² = f(x,y)
<2x,2y,0>
Points radially outward from z axis
3.
D. Points radially inwards toward origin
4.
B. Points radially inwards toward the z axis.
Please check attachment for solutions to answers 3 and 4
find the inverse of each function
Answer:
c
Step-by-step explanation:
assume base 10
-logy = x
\( \frac{1}{ log(y) } = x\)
log base x y = 5 turns into the format x^ 5 = y
implement that to get c
A survey was given to a random sample of 1750 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 350 respondents said that they preferred Candidate A. At the 95% confidence level, what is the margin of error for this survey expressed as a proportion to the nearest thousandth? (Do not write
±).
The margin of error for this survey, expressed as a proportion to the nearest thousandth, is 0.021.
To calculate the margin of error for a survey, we need to use the formula:
Margin of Error = Critical Value * Standard Error
1. The critical value is determined based on the desired level of confidence. Since we want a 95% confidence level, we need to find the critical value associated with a 95% confidence interval.
2. For a 95% confidence interval, the critical value is approximately 1.96. This value corresponds to a standard normal distribution.
3. The standard error represents the standard deviation of the sample proportion. It can be calculated using the formula:
Standard Error = sqrt[(p * (1 - p)) / n]
where p is the sample proportion (proportion of respondents who preferred Candidate A) and n is the sample size.
4. In this case, the sample proportion is 350/1750 = 0.2 (or 20% in percentage terms). The sample size is given as 1750.
5. Plugging the values into the formula, we get:
Standard Error = sqrt[(0.2 * (1 - 0.2)) / 1750] = sqrt(0.00022857) ≈ 0.015.
6. Finally, we can calculate the margin of error:
Margin of Error = 1.96 * 0.015 ≈ 0.029.
Rounding the margin of error to the nearest thousandth, we get 0.029, which is equivalent to 0.021 when expressed as a proportion without the ± symbol.
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someone plsss help again
math is not my forte
Answer:
I think its D
Help thid helps!
If one wanted to solve the equation below using the quadratic formula, what would be the b value used to substitute into the quadratic equation.
3x 2 − 2 = - 5x
Answer:
b = 5
Step-by-step explanation:
All quadratic equations are formed in the format of \(a^{2}\) + bx + c = 0
Using this formula, we can re-arrange the equation to fit the given format.
\(3x^{2}\) - 2 = -5x
\(3x^{2}\) + 5x - 2 = 0
5 is plugged in for "b" in this equation, therefore b = 5.
Which point is part of the intersection of planes ACD and MHG?
A point that is part of the intersection of planes ACD and MHG is: Point B.
How to Find the Points of Intersection of Planes?A plane has at least three points that lie on it. When two planes intersect, they do so at some certain points. This means that two intersecting planes share some points in common alone the line of their intersection.
In the diagram given, plane ACD and plane MHG intersect along line BA. This means that both planes share points A and B in common.
Therefore, we can state that a point that is part of the intersection of planes ACD and MHG is: Point B.
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On a map, Peach Street is modeled by the equation 4x - y = 7. Apple Street is perpendicular to Peach Street and passes through the point
(12, 2). Find the equation that models Apple Street (1 point)
A. Y=1/4x+5
B. Y=-1/4x-1
C. Y=1/4x-1
D. Y=-1/4x+5
Did you ever get the answer
Write a congruence statement for the above triangles pt.2
The value of angle A and C is 14° and 121° respectively
What is the sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
The sum of angle in a triangle is 180°
Therefore 45+6x-5+x-7 = 180
collect like terms
45-5-7+6x+x =180
33+7x = 180
7x = 180 - 33
7x = 147
x = 147/7
x= 21
therefore the value of angle A = ( 21-7) = 14°
and angle C = 6(21) - 5
C = 126-5
C = 121°
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original price $28 and mark up 16%
Answer:
$32.48
Step-by-step explanation:
Find 116% of $28.(sorry if this sentence was confusing)
x = 116% of $28
x 116%
_______=_______
$28 100%
116 x 28 = 3,248
3,248/100= 32.48
= 32.48
20 points!!!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!!!!!! In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats. due in 40 min
help
There are 15 cats in the animal shelter.
What is equation?An equation in which is the highest power of to the variables 1 is knowns as the linear equation. Mathematically: it is an algebraic equations that can be also written in the form of ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.
In order to solve this problem, we must set up a proportion. Proportions are an equation that states that two ratios are equal. In this case, we are looking for the number of cats (c) in the animal shelter.
Let's set up the proportion.
5/3 = 25/c
We can then solve for c by multiplying both sides by c.
5c/3 = 25
c = 15
Therefore, there are 15 cats in the animal shelter.
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construct thruth table for each of the following Statement
Rhonda I just got home from
In a lab, a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio of the amount of the 30% solution to the amount of 5% solution used to create the 10% solution?
Answer:
1:4
Step-by-step explanation:
if the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height
Please Guyz I Want Full Solved Not Just Answer Please
Answer:
50 cm
Step-by-step explanation:
let x be the heigth we are looking for.
Each rectangle that covers the cuboid is the product of two dimensions \((60\cdot40;\ 60x;\ 40x)\)
Since it's a cuboid, we assume opposite sides are equal.
So each rectangle is counted twice:
\(Area=2(60\cdot40+60x+40x)=14800\)
Now, we just isolate x:
\(60\cdot40+60x+40x=7400\\2400+100x=7400\\100x=5000\)
Answer:50 cm
What is $49.90 at 10% off
MATH Topic - Coordinate system and Linear graphs Q.1) Complete the following tables and plot the points on the graph paper to represent the equations given below 1 2 3 X y=x+1 y=-3x (x, y) (x, y)
Step-by-step explanation:
Given Question
Complete the following tables and plot the points on the graph paper yo represents the equations given below :-
\(\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = x + 1 & \sf & \sf & \sf \\ \\ \sf (x,y)& \sf & \sf & \sf \\ \end{array}} \\ \end{gathered} \\ \)
and
\(\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = - 3x & \sf & \sf & \sf \\ \\ \sf (x,y)& \sf & \sf & \sf \\ \end{array}} \\ \end{gathered} \\ \)
\(\large\underline{\sf{Solution-}}\)
Given that,
\(\rm \longmapsto\:y = x + 1\)
On substituting x = 1, we get
\(\rm \longmapsto\:y = 1 + 1\)
\(\rm \longmapsto\:y = 2\)
On substituting x = 2, we get
\(\rm \longmapsto\:y = 2 + 1\)
\(\rm \longmapsto\:y = 3\)
On substituting x = 3, we get
\(\rm \longmapsto\:y = 3 + 1\)
\(\rm \longmapsto\:y = 4\)
Hence,
\(\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = x + 1 & \sf 2 & \sf 3 & \sf 4\\ \\ \sf (x,y)& \sf (1,2) & \sf (2,3) & \sf (3,4)\\ \end{array}} \\ \end{gathered}\)
Now, draw a graph using the points (1 , 2), (2 , 3) & (3 , 4)
---------------------------------------------
Given equation is
\(\rm \longmapsto\:y = - 3x\)
On substituting x = 1, we get
\(\rm \longmapsto\:y = - 3 \times 1\)
\(\rm \longmapsto\:y = - 3\)
On substituting x = 2, we get
\(\rm \longmapsto\:y = - 3 \times 2\)
\(\rm \longmapsto\:y = - 6\)
On substituting x = 3, we get
\(\rm \longmapsto\:y = - 3 \times 3\)
\(\rm \longmapsto\:y = - 9\)
Hence,
\(\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = - 3x & \sf - 3 & \sf - 6 & \sf - 9\\ \\ \sf (x,y)& \sf (1, - 3) & \sf (2, - 6) & \sf (3, - 9)\\ \end{array}} \\ \end{gathered}\)
Now, draw a graph using the points (1 , - 3), (2 , - 6) & (3 , - 9)
match each term with its definition. experimental group dependent variable control group operational definition independent variable
A dependent variable is precisely what it sounds like, just like an independent variable. It is something on which other elements depend.
A test score, for instance, may be a dependent variable because it could vary based on a number of variables, including how much you studied, how much sleep you got the night before the test, and even how hungry you were. Typically, when attempting to establish a connection between two variables, the goal is to determine what causes the dependant variable to vary in the manner that it does.
Many people struggle to recall which variable is the independent variable and which variable is the dependent variable.
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Nicole has 144 role-playing cards and $9
to buy more cards. She and her friends buy
another set that costs $27. They evenly
split the cost and the cards in the set. How
many cards does Nicole have after she buys
part of a set with her friends?
Answer:
192 cardsStep-by-step explanation:
It seems the set consists of 144 cards.
Nicole pays for the:
9/27 = 1/3 of the setso she gets proportional amount of cards:
1/3*144 = 48 cardsTotal number of cards Nicole has now:
144 + 48 = 192Please help me it’s due today at 11:59
matt had 4/6 bag of peanuts. He ate a quarter of what was in the bag. How much of a full bag of peanuts did Matt eat?
Matt ate 1/6 of the bag of peanut
Matt had 4/6 bag of peanut
He ate a quarter of what was in the bag
The amount of peanut he ate can be calculated as follows
= 4/6 × 1/4
= 4/24
= 1/6
Hence Matt ate 1/6 of the bag of peanut
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A countertop is in the shape of a trapezoid. The lengths of the bases are 70.5 and 65.5 inches long. The area of the countertop is 1224 square inches. Write and solve and equation to find the height of the countertop.
Answer:
18.
Step-by-step explanation:
We know that the formula to find the height of a trapezoid is: ((a+b)/2)*h.
Using this, we'll get: 18, which is your answer. You can plug in the numbers if you want to confirm this.
Please give brainliest, thank you :)
1/6 of the age of a mother is the age of her daughter.
if the difference of their age is 35 find the age of mother
Answer:
The age of the mother is 42 years, while the age of the girl is 7 years.
Step-by-step explanation:
Given that 1/6 of the age of a mother is the age of her daughter, to determine the age of the mother if the difference of their age is 35, the following calculations must be performed:
6 - 1/6 = 5/6
5/6 = 35
35/5 = 7
7 + 35 = 42 = 7 x 6
7 = 7 x 1
Therefore, the age of the mother is 42 years, while the age of the girl is 7 years.
Greg is a novice cook trying to perfect his baked potato recipe. He decides to put
many. potatoes in the oven and invites all his friends over. Every few minutes he
takes a potato out of the oven and asks some friends to rate its taste on a scale
from 1 to 10, where 10 is excellent.
For each taste, Greg writes down the number of minutes the potato spent in the
oven, x, as well as its rating from 1 to 10, y.
The least squares regression line of this data set is:
y = 0.109x + 1.437
What rating does this line predict for a potato spending 67.11 minutes in the oven?
Round your answer to the nearest integer,
Al’s Produce Stand sells 6 tomatoes for $0.90. Barbara’s Produce stand sells 11 tomatoes for $1.54. Which produce stand has the better buy on tomatoes? Choose the best solution.
Answer:
Barbara's Produce Stand has the best buy on tomatoes
Step-by-step explanation:
Average Value
We need to determine which produce stand has the best buy on tomatoes. We'll calculate the average cost of each tomato in both stands and select the one that has the lowest cost.
Al's Produce Stand sells 6 tomatoes for $0.90, The average cost per tomato is $0.90/6=$0.15
Barbara's Produce Stand sells 11 tomatoes for $1.54. The average cost per tomato is $1.54/11=$0.14
Since the latter's cost is less than the first one, Barbara's Produce Stand has the best buy on tomatoes
Find the solutions of the quadratic equation –9x2 + 49 = 0.
Answer:
x = 7/3
Step-by-step explanation:
Given equation:
–9x² + 49 = 0To determine the value of "x", we need to isolate the x-variable and it's coefficient on one side of the equation. This can be done by subtracting 49 to both sides of the equation.
⇒ –9x² + 49 - 49 = 0 - 49⇒ –9x² = -49We can see that the negative sign in on both sides of the equation. Remove it by dividing -1 to both sides of the equation.
⇒ –9x² = -49⇒ -9x²/-1 = -49/-1⇒ 9x² = 49Clearly, we can see that 9x² and 49 are perfect squares. Therefore,
⇒ 9x² = 49⇒ (3x)² = (7)²Take square root both sides of the equation:
⇒ √(3x)² = √(7)²⇒ 3x = 7To determine the value of "x", we need to isolate it "completely". This can be done by dividing 3 to both sides of the equation
⇒ 3x/3 = 7/3⇒ x = 7/3Therefore, the value of "x" must be 7/3.
Answer:
x = 7∕3, –7∕3
Step-by-step explanation:
To find the solutions of the quadratic equation -9x^2 + 49 = 0, we can solve for x by isolating x^2 first:
-9x^2 + 49 = 0
-9x^2 = -49
Dividing both sides by -9, we get:
x^2 = 49/9
Taking the square root of both sides, we get:
x = ± 7/3
Therefore, the solutions of the quadratic equation -9x^2 + 49 = 0 are x = 7/3 and x = -7/3.
what's the inverse of f(x)=(x+3)^5
Answer:
The inverse is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x) = (x+3)^5
Finding the inverse,
\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)
We replace x with y and vice versa
so,
\(x = (y+3)^5\)
Solving for y,
the the 5th root,
\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)
hence the inverse function is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x)=(x+3)×5
Y=5X+15
now
interxchanging x and y we get,
x=5y+15
5y=x-15
y=x-15/5
therefor f~1(x)=x-15/5
Please help me ASAP ASAP ASAP
Answer:
d = 4√5
Step-by-step explanation:
d² = 8² + 4²
d² = 64 + 16
d² = 80
d =√80
d = √(16 * 5)
d = 4√5
Answer:
Step-by-step explanation:
hard to see graph ....