Answer:
Your answer is x = 47.
Step-by-step explanation:
First, you need to move the constant to the right-hand side and change its sign.
4x = 180 + 8
Now, you need to add the numbers.
4x = 188
Last but not least, you need to divide both sides of the equation by 4, which gets you to:
x = 47
Celeste is planting a rectangular flower garden in which the width will be 4 feet less than its length. She has decided to put a birdbath within the garden that will occupy a space 3feet by 4 feet how many feet are now left for planting? Express your answer on factored form
Answer:
(L-6)(L+2)
Step-by-step explanation:
Let L be the length of the flower garden.
Then the width will be L-4.
The area of the flower garden = L*(L-4) =L²-4L
The area of the birdbath is 3*4 = 12 ft²
The area of the remaining space for planting is
= Area of flower garden - area of birdbath
L² - 4L - 12We can factor the expression as follows:
L² - 4L - 12 L²-(6-2)L-12L²-6x+2x-12taking common frome each two terms
L(L-6)+2(L-6)(L-6)(L+2)Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.
Given the two functions, which statement is true? f(x) = 3x, g(x) = 3x + 5 Question 12 options: g(x) is translated up 5 units compared to f(x) g(x) is translated left 5 units compared to f(x) g(x) is translated down 5 units compared to f(x) g(x) is translated right 5 units compared to f(x)
The correct statement is: g(x) is translated up 5 units compared to f(x).
The correct answer is A.
To determine the translation between the two functions, we can observe that the only difference between them is the constant term.In f(x) = 3x, there is no constant term, so the graph of f(x) passes through the origin (0, 0).In g(x) = 3x + 5, there is a constant term of 5 added to the function. This means that the graph of g(x) is shifted vertically upward by 5 units compared to the graph of f(x).Therefore, g(x) is translated up 5 units compared to f(x).The correct answer is A.
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i need help
can you look over this picture and see what the answer is
Answer:
AC = 12
Step-by-step explanation:
If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
AC/AE = AB/AD
Substitute the given numbers:
x/x+15 =8/18
18x= 8(x+15)
18x = 8x+120
10x = 120
x = 12
AC=12
Consider the given functions. Function 1 Function 2 Function 3 x g(x) 0 5 1 7 2 9 3 11 4 13 Which statement about the functions is true?
Answer:
they are real numbers that are being used to answer this function
just had this problem
In a sequence of numbers,
a₁ = -6, a3 = 4, a5 = 14, a6 = 19,
and a 24. Based on this
information, which equation
can be used to find the nth
term in the sequence, an?
Answer:
Step-by-step explanation:
To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.
From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.
Using the given values of a₁, a₃, and a₅, we can find the first few differences:
a₃ - a₁ = 4 - (-6) = 10
a₅ - a₃ = 14 - 4 = 10
So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:
a₂ = a₁ + d = -6 + 10 = 4
a₄ = a₃ + d = 4 + 10 = 14
a₆ = a₅ + d = 14 + 10 = 24 - 1
a₇ = a₆ + d = 24 - 1 + 10 = 33
Now, we can find the second difference between consecutive terms:
a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0
a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5
a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9
Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:
an = an² + bn + c
Substituting the values we know, we get three equations:
a₁ = a₁² + b₁ + c --> -6 = c
a₃ = a₃² + b₃ + c --> 4 = 9a + b + c
a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c
Solving this system of equations, we get:
a = 1/2, b = 19/2, and c = -6
Therefore, the equation for the nth term in the sequence is:
an = (1/2)n² + (19/2)n - 6.
Suppose that continuous random variables X and Y have a joint probability density function given by: f X,Y
(x,y)={ c⋅x 2 y,0,0≤x≤2;0≤y≤2 otherwise 1. Define the mode of a continuous random variable to be the point at which the density is maximized, if such a point exists. What is the mode of YY?
2. What value of cc makes this a valid probability density function?
3. What is the expected value of YY, E[Y]E[Y]?
4. What is the variance of YY, V[Y]V[Y]?
And , the Y's variance is \(V[Y] = E[Y^2] - (E[Y])^2 = 2 - 1^2 = 1.\)To find the mode of Y, we need to find the value of y that maximizes the joint probability density function\(f_X, Y(x,y).\)
To do this, we can fix x to be a particular value and then find the value of y that maximizes \(f_X, Y(x,y).\)
For any fixed x between 0 and 2, the function\(f_X, Y(x,y)\) is maximized at y = 1, since this is the only value of y that depends on x and maximizes the function\(cx^2y.\) Therefore, the mode of Y is 1.
To find the value of c that makes this a valid probability density function, we need to ensure that the integral of \(f_X, Y(x,y)\)over the entire sky-plane is equal to 1. We can set up the integral as follows:
integral from 0 to 2 of (integral from 0 to 2 of cx^2y dy) dx
= integral from 0 to \(2 of [c*x^2/2 * y^2]\)evaluated from 0 to 2 dx
= integral from 0 to 2 of \(c*x^2 x2d\)
= [2c/3 * x^3] evaluated from 0 to 2
= (16c/3)
For this to equal 1, we must have c = 3/16. Therefore, the valid probability density function is:
f_X,Y(x,y) = { (3/16)x^2y, 0 <= x <= 2, 0 <= y <= 2; 0, otherwise }
To find the expected value of Y, we need to integrate Y times the joint probability density function f_X, Y(x,y) over the entire xy-plane:
E[Y] = integral from 0 to 2 of (integral from 0 to 2 of y*f_X, Y(x,y) dy) dx
= integral from 0 to 2 of \([(3/16)*x^2/2 * y^2]\) evaluated from 0 to 2 dx
= integral from 0 to 2 of (3/16)*x^2 dx
= [3/16 * x^3/3] evaluated from 0 to 2
= 1
Therefore, the expected value of Y is 1.
To find the variance of Y, we first need to find the second moment of Y by integrating Y^2 times the joint probability density function f_X, Y(x,y) over the entire xy-plane:
E[Y^2] = integral from 0 to 2 of (integral from 0 to 2 of y^2*f_X, Y(x, y) dy) dx
= integral from \(0 to 2 of [(3/16)*x^2/3 * y^3]\) evaluated from 0 to 2 dx
= integral from \(0 to 2 of (3/8)*x^2 dx\)
= \([3/8 * x^3/3]\) evaluated from 0 to 2
= 2
And , the Y's variance is
\(V[Y] = E[Y^2] - (E[Y])^2 = 2 - 1^2 = 1.\)
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you bought 12 red apples and 15 green apples to make a pie?
what is the ratio of the number of red apples to the total number of apples simplified?
Answer:
4:9
Step-by-step explanation:
12 red apples and 27 apples in total so it would be 12:27. Just divided it by 3
I think that's what the question is asking...
1. Which of the following is equivalent to 6/10? 5/9 9/15 8/12 36/100
Study these equations:
f(x) = 2x – 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
h(x) = 6x2 – 10x – 4
h(x) = 6x2 – 12x – 4
h(x) = 6x2 + 2x – 4
h(x) = 6x2 + 14x + 4
Answer:
6x2-10x-4
Step-by-step explanation:
hx=(2x-4)(3x+1)
hx=2x(3x+1)-4(3x+1)
hx=6x2+2x-12x-4
hx=6x2-10x-4
‼️PLEASE HELP MY FINAL IS TODAY‼️‼️‼️
9. Determine mzB. Round to the nearest degree.
35
C
B
a.
34°
43°
C. 47°
d. 56°
b.
24
Answer:
The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.
let y1,y2 be independent random variables both having the uniform(0,1) distribution. re- call that the density function and distribution function of a uniform random variable y
A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function.
A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. Accordingly, the likelihood of any specific outcome of y is the same, and the likelihood of any range of outcomes is equal to the length of the range. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function. Accordingly, the length of the range multiplied by the likelihood of any specific occurrence yields the cumulative probability of any range of outcomes. Since the likelihood of any specific result in that range is 1 and the range's length is 0.5, for instance, the cumulative probability of 0 y 0.5 is 0.5. Since the likelihood of any given result within that range is still 1, but the range's length is 0.5, the cumulative probability of 0.5 y 1 is 0.75. The chance of any range of outcomes for y1 and y2 if they are independent random variables both having the uniform(0,1) distribution is just the sum of their respective cumulative probabilities.
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Help me PLEASEEE!!! ASAP
From the top of a building 30 meters high, the angle of elevation to the top of a monument is found to be equal to the angle of depression to the foot of the monument. Find the height of the monument.
The height of the monument is 30 meters.
We have,
Let's assume the height of the monument is "h" meters.
From the top of the building, the angle of elevation to the top of the monument is equal to the angle of depression to the foot of the monument. This forms a right triangle with the building, the monument, and the ground.
In this triangle, the opposite side of the angle of elevation is the height of the building, which is given as 30 meters.
The opposite side of the angle of depression is the height of the monument, which is "h" meters.
Since the angles of elevation and depression are equal, the triangle is an isosceles triangle.
Therefore, the opposite sides are equal in length.
By setting up the equation:
h = 30
Thus,
The height of the monument is 30 meters.
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Consider Mary's experiment regarding whether learning of 6th graders on a math lesson is affected by background noise level. Mary has collected her data. What is the null hypothesis for her study? What is the alternative hypothesis for her study? What are the assumptions that must be met about her data before she can correctly use an independent t-test to test the hypotheses? Why? How would she see if her data met these assumptions? How much room does she have to violate any of these assumptions and still get accurate results from the t-test? Explain and support your answers
Answer:
Check the answers to the questions below
Step-by-step explanation:
a) If \(\mu_1\) is the average learning rate of the 6th graders without background noise level and \(\mu_2\) is the average learning rate of the 6th graders with background noise level
The Null Hypothesis is that the learning rate of the 6th graders is not affected by the background noise level.
Null hypothesis, \(H_0: \mu_1 = \mu_2\)
b) The Alternative Hypothesis is that the learning rate of the 6th graders is affected by the background noise level.
Alternative hypothesis, \(H_a: \mu_1 \neq \mu_2\)
c) Assumptions that must be met about the data before she can correctly use independent t-test
There must be random selection of the 6th graders
That the two groups are normally similar in their learning abilities
The division of students into the two groups should be at random
d) She has to make these assumptions to prevent bias and inaccuracy of results. If these assumptions are not made, the outcome of the experiment may not reflect the true effect of background noise on the learning of the 6th graders.
She can still get accurate results if she include some bias in the selection to prove a particular result.
Which side lengths form a right angle?
Choose all answers that apply:
A) 3, square root 27, 6
B) 8, 15, 17
C) 5, 5, square root 50
Answer:
B and C
Step-by-step explanation:
Using the Pythagorean theorem a²+b²=c², those are the correct answers
Rewrite 6 as a fraction with the denominator being 7
Answer:
42/7
Step-by-step explanation:
Change 6 to a fraction by putting a 1 under the 6.
6 becomes 6/1
Then multiply by 7/7 to change the denominator to 7 as was asked for in the question.
6/1 × 7/7
= 42/7
When you multiply fraction × fraction, you multiply top×top and bottom×bottom.
6 rewritten as a fraction with the 7 on the bottom is 42/7
which one of the following is a solution to |2x-1|>3 A.2, B.-1, C.-2, D.1, E.None of these
If the area of a rectangle is x^2+13x+36 and the length is x+9 what is the width
Answer:
width = (x+4)
Step-by-step explanation:
Answer:
Width is x+4 units
Step-by-step explanation:
Since the area of a rectangle is length*width, then width=area/length:
-9 | 1 13 36
____-9 -36_
1 4 | 0
Therefore, the width of the rectangle is x+4 units
A woman bought some goods for $240 and sold it and made a profit of 20%. how much did she sell it?
Answer:
$288
Step-by-step explanation:
10% of 240 is 240 / 10 = 24
24 X 2 = 48
240 + 48 = $288
Answer:
$288 ....brainliest appreciated pls
Step-by-step explanation:
20/100 × 240 = 48dollars
so...the selling price becomes 240+48 = $288
Suppose Ax = b has a solution. Explain why the solution is unique precisely when Ax = 0 has only the trivial solution. Choose the correct answer. 0
A. Since Ax = b is inconsistent, its solution set is obtained by translating the solution set of Ax-0. For Ax-b to be inconsistent, Ax = 0 has only the trivial solution.
B. Since Ax-b is consistent, its solution set is obtained by translating the solution set of Ax-0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax 0 is a single vector, and that happens if and only if Ax 0 has only the trivial solution.
C. Since Ax = b is inconsistent, then the solution set of Ax = 0 is also inconsistent. The solution set of Ax = 0 is inconsistent if and only if Ax = 0 has only the trivial solution.
D. Since Ax = b is consistent, then the solution is unique if and only if there is at least one free variable in the corresponding system of equations. This happens if and only if the equation Ax 0 has only the trivial solution.
Answer:
B. Since Ax-b is consistent, its solution set is obtained by translating the solution set of Ax=0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax= 0 is a single vector, and that happens if and only if Ax 0 has only the trivial solution.
Step-by-step explanation:
the answer to the question is answer B. and here is the explanation below
let us imagine that the equation ax = b has a solution
now our goal will be to show that the solution of ax =b when ax = 0 has only trivial solution.
ax = 0 is homogenous
if this equation was consistent for b, we define
ax = b to be a set of vector that has the form
w = m + gh(h is a subscript)
gh is a solution of ax = 0
from what we have above, ax=b is in the form ofw= m+gh
with
m = solution of ax=b
gh = soulution of ax=0
ax = 0 has only trivial solution
gh = 0
with gh = 0
ax=b is w=m
so ax = b is unique.
PLEASE HELP 30 POINTS WILL MARK BRAINLIEST
Solve the equation below for x.
cx - 4 = 7
A. x = c/11
B. x = c/3
C. x = 11/c
D. x = 3/c
Step-by-step explanation:
To solve the equation cx - 4 = 7 for x, we need to isolate the variable x.
First, we add 4 to both sides of the equation:
cx - 4 + 4 = 7 + 4
This simplifies to:
cx = 11
Next, we divide both sides of the equation by c to solve for x:
(cx) / c = 11 / c
The c cancels out on the left side, leaving us with:
x = 11 / c
Therefore, the solution to the equation is x = 11 / c.
So, the correct option is C. x = 11/c.
How many mL are there in 3,700 microliters?
Answer:
3.7 mL
Step-by-step explanation:
How do you solve this??
21 a(little 6) b(little 5)
————————————
7 a(little 3) b
\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
To solve this problemWe can use the rules of exponents and simplify the terms with the same base.
Dividing the coefficients: 21 / 7 = 3.
For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)
Similarly,\(b^5 / b = b^(5-1) = b^4\).
Putting it all together, the simplified expression is:
\(3a^3b^4.\)
Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
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Evaluate : -35 ÷ (-7) =
Answer:
-35/-7=5
Step-by-step explanation:
Diviser par de nombre négatif alors sa devient positif pareil pour la multiplication
A quarter is tossed. How many total number of outcomes are there? total number of outcomes
Answer:
2
Step-by-step explanation:
Answer:
2 is the correct answer please mark brainliest
Step-by-step explanation:
can someone help with this problem
Check the picture below.
Who is Euclid and what is his contributions?
Answer:
Ancient Greek mathematician Euclid was a logician and geometer. The Elements book, often regarded as the "father of geometry," laid the theoretical groundwork for the discipline's development up until the early 19th century.
what is the quolotient of the division below
96÷3
answers: 13 23 31 42
Answer: The answer would be 32
Step-by-step explanation: 96 divided by 3 is 32
Customer: "I don't think that your questions are relevant to our discussion
A. Let me explain how my questions are related to our discussion.
B. I didn't mean to sound negative. Let me start over.
C. I am trying to be nice. I think you took what I said the wrong way.
D. I am very interested in what you have to say.
E. I apologize that you do not find them helpful.
The best response to such statement will be "Let me explain how my questions are related to our discussion" which is option (A)
What you should know about Customer DissatisfactionThe statement the customer made shows that he is disappointed with whatever the situation is.
Customer dissatisfaction refers to the feeling of displeasure, frustration, or disappointment that a customer experiences when their expectations are not met by a product or service they have purchased or received. It can arise from various factors, such as poor quality, ineffective communication, slow response times, inadequate support, or a mismatch between customer needs and what is being offered.
To prevent customer dissatisfaction, businesses must focus on providing high-quality products and services, being responsive and attentive to customer needs, and proactively addressing any issues or concerns that arise.
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The relative values of the mean and median are typically of data that have a significant skew to the left what are the relative values of the mean and median
The required, mean for the specific data set will also be greater than the median.
What is Statistic?Statistics is the study of mathematics that deals with relations between comprehensive data.
Here,
The relative values of the mean and median are typical of data that have a significant skew to the left, If the data set significant skew to the left implies that the mean of the data set is greater than the median of the data set.
Thus, the required, mean for the specific data set will also be greater than the median.
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