Answer:
Step-by-step explanation:1/4 times 24 that gives you 6 and then 5 times 24 is $120
PZ ITS URGENTTT
Q2: Find the gradients of each of the following lines.
L1 (b) L2 (c) L3 (d) L4
Answer:
a)It is a vertical line with an undefined slope
b)It is a vertical line with an undefined slope
c)7/4
d)-7/4
Step-by-step explanation:
The formula for gradient of a line is given as;
m=Δy/Δx
where Δy = y₂-y₁ and Δx=x₂-x₁
For L₁
x=2
It is a vertical line with an undefined slope
For L₂
x=-3
It is a vertical line with an undefined slope
For L₃
The points on the line are : (0,-3) and (4,4)
m= Δy/Δx
m= 4--3/4-0
m=7/4
For L₄
The points on the line are : (0,-3) and (-4,4)
m=Δy/Δx
m=4--3/-4-0
m=7/-4
m= - 7/4
4. Using the figure below, find the area of the circle. 10 cm
Answer:
we need the full picture of the circle to see if 10 cm is only half or not
What are 2 or more fractions of each of these??
Answer:
Down below
Step-by-step explanation:
i. 80/100 = 4/5 = 80%
ii. 12.5/100 = 1/8
iii. 10/100 = 1/10
Solve the equation.
3/2y - 5 = -2
Answer:
y= 1/2 is the answer.
Step-by-step explanation:
Answer:
y = 2
Step-by-step explanation:
The ratio table below shows the relationship between the weight of apples purchased and the total cost of the apples. Apple Cost Weight (lb) Total cost ($) 1 2 4 8 6 12 10 20 When the weight of apples is increased by a factor of 4, by what factor does the total cost increase? 3 4 6 8
Answer:
Step-by-step explanation:
4
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The correct option is B, 4.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the table represents the relationship between the weight of apples purchased and the total cost of the apples.
Apple Cost Weight (lb) Total cost ($)
1 2
4 8
6 12
10 20
Now, we look at the table in the first row the weight of the apple is 1lb and the cost is $2. But, when the weight is increased by 4 in the next row the price became $8.
Thus, it can be concluded that When the weight of apples is increased by a factor of 4, then the factor by which the total cost increase is 4.
Hence, the correct option is B, 4.
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Given that lim f(x) = 0 x-a (b) lim lim g(x) = 0 lim h(x) = 1 limp(x) = co lim g(x) = 0, xa f(x) x-a p(x) DETAILS evaluate if the following limits are not indeterminate forms. (If a limit is indeterminate, enter INDETERMINATE.) (a) lim f(x) x-a g(x) h(x) (c) lim x-a p(x) (d) lim P(x) xa f(x)
Thus, lim f(x) x-a g(x) h(x) is not an indeterminate form, lim p(x) is not an indeterminate form, lim p(x) xa f(x) is an Indeterminate form.
Given that lim f(x) = 0 x-a
(b) lim lim g(x) = 0
lim h(x) = 1
limp(x) = co
lim g(x) = 0,
xa f(x) x-a p(x)
DETAILS evaluate if the following limits are not indeterminate forms. (If a limit is indeterminate, enter INDETERMINATE.)(a) lim f(x) x-a g(x) h(x)(c) lim x-a p(x)(d) lim P(x) xa f(x)
Solution: As we know that if the limit of the function does not exist then it is known as indeterminate form. If the limit exists then it is not an indeterminate form.
(a) lim f(x) x-a g(x) h(x)
lim f(x)/g(x)h(x) x-a=lim f(x) x-a/ lim g(x) x-a .
lim h(x) x-a=0/1
=0
So, it is not an indeterminate form.
(b) lim p(x) = Indeterminate form,
0/0(xa)f(x)
lim P(x)/f(x) xa=0/0, which is an Indeterminate form.
(c) lim p(x) x-a=limit exists, so it is not an indeterminate form.
(d) lim P(x) xa f(x)lim P(x)/f(x) xa=Indeterminate form, ∞/0.
Hence, the required conclusion is lim f(x) x-a g(x) h(x) is not an indeterminate form, lim p(x) is not an indeterminate form, lim p(x) xa f(x) is an Indeterminate form.
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Subtract 6(x^2-xy) from 3x(x-y)
\(3 {x}(x - y) - 6 ({x}^{2} - xy) \\ = 3 {x}^{2} - 3xy - 6 {x}^{2} + 6xy \\ = 3xy - 3 {x}^{2} \)
=3x(y-x)
Answer:
-3x ( x - y )
Step-by-step explanation:
3x ( x - y ) - 6 ( x² - x y )
Solve the brackets.
3x² - 3 x y - 6x² + 6 x y
Combine like terms.
3x² - 6x² - 3 x y + 6 x y
-3x² + 3 x y
Factorize the answer.
-3x ( x - y )
Here is a rectangular prism. A. what is the surface area of the figure ? B. What is the volume of the figure ? Next question is A. What is the value of x ? What is the value of y ?
Answer:
A) A = 180 in
B) V = 144 in³
Step-by-step explanation:
A = 2 ( wl + hl + wh)
A = 2 (3 × 8) + (6 × 8) + (3 × 6)
A = 2 [(24) + (48) + (18)]
A = 2 × (90)
A = 180 in
V = w × h × l
V = 3 × 6 × 8
V = 144 in³
Simplify 24 - 15 - 3+ 2.6.
O A. 30
O B. 31
O C. 126
O D. 15
Answer:
D
Step-by-step explanation:
consider the square with side length x . if is the area of a square a and p is the perimeter, then find da/dt in terms dp/dt of for the square expands as time passes.
The rate of change of the area of the square with respect to time, da/dt, can be expressed in terms of the rate of change of the perimeter, dp/dt, as (P/2) * dp/dt.
To find da/dt, the rate of change of the area of a square with respect to time, in terms of dp/dt, the rate of change of the perimeter, we can apply the chain rule of differentiation. The first step is to express the area and perimeter of the square in terms of x. Then, differentiate both sides of the equation and solve for da/dt.
Let's start by expressing the area and perimeter of the square in terms of x. The area of a square is given by A = x^2, and the perimeter is given by P = 4x.
Next, we differentiate both sides of the equation with respect to time, t. Using the chain rule, we have:
dA/dt = dA/dx * dx/dt
The derivative dA/dx represents the rate of change of the area with respect to the side length x, which is 2x. The derivative dx/dt represents the rate of change of the side length with respect to time, which we'll denote as dp/dt.
Substituting these values into the equation, we get:
dA/dt = 2x * dp/dt
Finally, we can express da/dt in terms of dp/dt by substituting 4x for P:
dA/dt = (P/2) * dp/dt
Therefore, the rate of change of the area of the square with respect to time, da/dt, can be expressed in terms of the rate of change of the perimeter, dp/dt, as (P/2) * dp/dt.
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Number 11 please write the equation for the standard function use transformations and critical points of the graph
Solution
- The formula for the vertex form of a quadratic equation is given below:
\(\begin{gathered} y=a(x-h)^2+k \\ where, \\ (h,k)\text{ is the coordinate of the vertex} \end{gathered}\)- The vertex of the quadratic equation is depicted below:
- Thus, the vertex of the quadratic graph is V(2, -2).
- The equation of the graph becomes:
\(y=a(x-2)-2\)- To find the value of "a", we apply the coordinate given (-1, 6). This is done below:
\(\begin{gathered} when\text{ }x=-1,y=6 \\ \\ 6=a(-1-2)^2-2 \\ 6=a(-3)^2-2 \\ 6=9a-2 \\ \text{ Add 2 to both sides} \\ 9a=8 \\ \text{ Divide both sides by -3} \\ \\ a=\frac{8}{9} \end{gathered}\)Final answer
The equation is:
\(y=\frac{8}{9}(x-2)^2-2\)
a contractor records all of the bedroom areas, in square feet, of a five-bedroom house as:100, 100, 120, 120, 180what is the variance? what is the standard deviation?
The variance of the bedroom areas in the five-bedroom house is 864, and the standard deviation is approximately 29.39 square feet.
Mean: (100 + 100 + 120 + 120 + 180) / 5 = 620 / 5 = 124
Squared differences: (24^2, 24^2, 4^2, 4^2, 56^2) = (576, 576, 16, 16, 3136)
Mean of squared differences: (576 + 576 + 16 + 16 + 3136) / 5 = 4320 / 5 = 864
Variance: 864
Standard deviation: √864 ≈ 29.39
Hence, The variance of the bedroom areas in the five-bedroom house is 864, and the standard deviation is approximately 29.39 square feet.
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Solve one sixth times quantity x plus 18 end quantity equals negative 5.
x = −48
x = −138
x = 12
x = 18
pls hurry
Answer:
(a) -48
Step-by-step explanation:
You want the solution to the equation 1/6(x +18) = -5.
2 Step equationThe first step to solving this can be to multiply both sides by 6, eliminating the fraction:
x +18 = -30
The second step can be to isolate the variable by subtracting 18 from both sides.
x = -48
The solution is x = -48.
__
Additional comment
Sometimes you may want to simplify the equation before you start the solution process. Here, you can also start by eliminating parentheses:
1/6x +3 = -5
Now, subtracting 3 gives ...
1/6x = -8
Finally, multiplying by 6, we have ...
x = -48
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Winston’s pay varies directly with the number of hours he works. If he earns $120 for 8 h of work, how much will he earn for 11 h of work?
Answer:
$165
Step-by-step explanation:
120÷8=15
15×11=165
Please answer this for brainliest
someone please help me!!!!!
Answer:
5.8
Step-by-step explanation:
2x + 9.4 = 21
2x = 21 - 9.4
2x = 11.6
x = 11.6/2
x = 5.8
please help with this
Answer:
1/5
Step-by-step explanation:
PLEASE LOOK AT PICTURE! WHOEVER HAD CORRECT ANWSER I WILL MARK BRAINIEST!!!
Answer: 8.1
Step-by-step explanation:
what is negative one eighth of a number is -3/4 as an equation?
will name the brainliest!
Answer:
The equation is \(-\frac{1}{8}\) x = \(-\frac{3}{4}\)
Step-by-step explanation:
The Equation is formed from two sides equal to each other
In the algebraic statement "is" means equalIn the algebraic statement "of" means times (×)∵ One eighth means \(\frac{1}{8}\)
∴ Negative one eighth means \(-\frac{1}{8}\)
→ Assume that the number is x
∵ "of" means times
∴ Negative one eighth of a number = \(-\frac{1}{8}\) × (x)
∴ Negative one eighth of a number = \(-\frac{1}{8}\) x
∵ Negative one eighth of a number is \(-\frac{3}{4}\)
→ "is" means equal, so the left side is \(-\frac{1}{8}\) x and the right side is \(-\frac{3}{4}\)
∴ \(-\frac{1}{8}\) x = \(-\frac{3}{4}\) ⇒ Equation
∴ The equation is \(-\frac{1}{8}\) x = \(-\frac{3}{4}\)
Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard deviation of 3,750. Using the alternative hypothesis Ha:μ>55,000, find the test statistic t and the p-value for the appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places.
Right-Tailed T-Table
probability 0.0004 0.0014 0.0024 0.0034 0.0044 0.0054 0.0064
Degrees of Freedom
54 3.562 3.135 2.943 2.816 2.719 2.641 2.576
55 3.558 3.132 2.941 2.814 2.717 2.640 2.574
56 3.554 3.130 2.939 2.812 2.716 2.638 2.572
57 3.550 3.127 2.937 2.810 2.714 2.636 2.571
58 3.547 3.125 2.935 2.808 2.712 2.635 2.569
59 3.544 3.122 2.933 2.806 2.711 2.633 2.568
60 3.540 3.120 2.931 2.805 2.709 2.632 2.567
Note that in the above case, the p-value for the hypothesis test is approximately 0.999.
How is this so?
To find the test statistic (t) and the p-value for the given hypothesis test, we can use the following formula -
t = (sample mean - hypothesized mean) / (sample standard deviation / √n)
where the sample mean is $56,500 the hypothesized mean is $55,000 the sample standard deviation is $3,750 andn (sample size) is 61.Thus
t = ($56,500 - $55,000) / ($3,750 / √61)
≈ 3.77
Using the t-table with 60 degrees of freedom (corresponding to n-1),we find that the critical value for a right-tailed test with α = 0.05 is approximately 2.632
Comparing the test statistic to the critical value,we see that
t = 3.77 > 2.632
This indicates that the test statistic falls in the critical region.
Next,we need to find the p-value associated with the test statistic.
Since t = 3.77 falls in the right tail of the t-distribution,we can use the t-table to estimate the p-value.
Looking at the t-table,the closest value to t = 3.77 with 60 degrees of freedom is 3.733, which corresponds to a probability of 0.0014.
Since the p -value is the probability of observing a test statisticas extreme or more extreme than the one obtained, we take the complement of the probability - 1 - 0.0014
= 0.9986.
Therefore, the p-value for the hypothesis test isapproximately 0.999
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The graph shows the predicted population of a town, z number of years after 2020. According to the graph, which statement is true?
According to the graph, the true statement is the population will increase more each year than the previous year. The Option B is correct.
What does population increase means?in geography context, a population growth means the increase in the number of humans on Earth. In human history, the population size was relatively stable. But with innovation and industrialization, energy, food, water, and medical care became more available and reliable.
On this graph, we can observed how the population increases from 80,000 to 100,000, 120,000, 140,000, 160,000, 180,000, 200,000, 220,000. 240,000, 260,000 and 280,000 on the Y-Axis. Therefore, the statement that population will increase more each year than the previous year is true.
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A man finds a purse with an unknow number of ducats in it. After he spends 1/4, 1/5, and 1/6 of the amount, 9 ducats remain. It is required to find out how much money was in the purse.
The total amount of money in the purse was approximately 23 ducats. A man finds a purse with an unknown number of ducats in it. After he spends 1/4, 1/5, and 1/6 of the amount, 9 ducats remain. To find the initial amount in the purse, let's represent it as "x".
He spent (1/4)x, (1/5)x, and (1/6)x. The sum of these fractions plus the remaining 9 ducats equals the total amount:
(1/4)x + (1/5)x + (1/6)x + 9 = x
To solve this equation, first find a common denominator for the fractions, which is 60. Rewrite the equation with the common denominator:
(15/60)x + (12/60)x + (10/60)x + 9 = x
Combine the fractions:
(37/60)x + 9 = x
Now, isolate x on one side of the equation:
9 = (23/60)x
To find x, divide both sides by (23/60):
x = 9 / (23/60)
x = 9 * (60/23)
x = 540/23
Since x represents the number of ducats, it should be a whole number. So, we round it to the nearest whole number:
x ≈ 23
Therefore, there were approximately 23 ducats in the purse initially.
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Find the area. The figure is not drawn to scale.
a
1440 in.2
b
1188 in.2
c
138 in.2
d
69 in.2
Answer:
A
Step-by-step explanation:
40 x 36 = 1440 in.2
In δabc, ab = x, bc = y, and ca = 2x. a similarity transformation with a scale factor of 0.5 maps δabc to δmno, such that vertices m, n, and o correspond to a, b, and c, respectively. if om = 5, what is ab? a. ab = 2.5 b. ab = 10 c. ab = 5 d. ab = 1.25 e. ab = 2
The value of ab in the similarity transformation from triangle abc to triangle mno is 5
How to determine the value of ab?The given parameters are:
ab = x, bc = y, and ca = 2x
om = 5
The scale factor from abc to mno is 0.5.
So, we have:
0.5 * ca = om
Substitute om = 5
0.5 * ca = 5
Divide both sides by 0.5
ca = 10
Recall that:
ca = 2x
So, we have:
2x = 10
Divide by 2
x = 5
Recall that:
ab = x
So, we have:
ab = 5
Hence, the value of ab is 5
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Construct an augmented matrix for this linear system: x − y − 4z = 5 2x 2z = 0 4x y z = 3.
The augmented matrix is,
\(\left(\begin{array}{ccccc}1&-1&-4&|&5\\2&0&2&|&0\\4&1&1&|&3\end{array}\right)\)
We have given system of linear equation is,
\(x - y - 4z = 5,2x + 2z = 0 ,4x +y +z = 3.\)
What is the meaning of augmented matrix?In an augmented matrix, each row represents one equation in the system and each column represents coefficients (with signs) of variables or the constant terms.
So, the first row is
\(1\ -1\ -4\ 5\)
the second row is
\(2\ 0\ 2\ 0\)
and the third row is
\(4\ 1\ 1\ 3\)
Therefore the augmented matrix for this linear system is,
\(\left(\begin{array}{ccccc}1&-1&-4&|&5\\2&0&2&|&0\\4&1&1&|&3\end{array}\right)\)
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The augmented matrix for the given linear equations will be constructed as follows
\(\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right] \left[\begin{array}{ccc}5&\\0\\3\end{array}\right]\)
What will be the augmented matrix of the given linear equations?The augmented matrix is generally a matrix form of the given linear equations and the coefficient of the variables are arranged in the form of a matrix.
The given equation has three variables so the matrix form will be of \(3\times3\)
The given linear equations are
\(x-y-4z=5\\2x+0y+2z=0\\4x+y+z=3\)
From the above equations, we will make an augmented matrix.
\(\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right] \left[\begin{array}{ccc}5&\\0\\3\end{array}\right]\)
The first equation will be followed by the first row of the matrix and the rest will be followed the same.
Thus the augmented matrix for the given linear equations will be constructed as follows
\(\left[\begin{array}{ccc}1&-1&-4\\2&0&2\\4&1&1\end{array}\right] \left[\begin{array}{ccc}5&\\0\\3\end{array}\right]\)
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function notation of g(x)-3x-8;g(-3)
The value of the function at -3 is g(-3) = -17 .
A function from set X to set Y is created by assigning an element from set Y to each element in set X. The function's domain and codomain are respectively referred to as the sets X and Y as a whole.
A function from the set X to the set Y assigns each element of X exactly one element of Y. The function's domain and codomain are respectively referred to as the sets X and Y as a whole.The collection of all pairings (x, f (x)) that distinctively represent a function is known as the graph of a function, which is a typical technique for lighting the function.We know that g(x) = 3x-8
Therefore we substitute the value of x with -3 to get g(x) .
g(-3) = 3(-3)-8 = -9 - 8 = -17
Therefore the value of the function is -17.
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The television show 50 Minutes has been successful for many years. That show recently had a share of 24 , meaning that among the TV sets in use, 24% were tuned to 50 Minutes. Assume that an advertiser wants to verify that 24% share value by conducting its own survey, and a pilot survey begins with 11 households have TV sets in use at the time of a 50 Minutes broadcast. (Round answers to four decimal places) Find the probability that none of the households are tuned to 50 Minutes. P (none) = Find the probability that at least one household is tuned to 50 Minutes. P( at least one )= Find the probability that at most one household is tuned to 50 Minutes. P( at most one) = If at most one household is tuned to 50 Minutes, does it appear that the 24% share value is wrong? (Hint: Is the occurrence of at most one household tuned to 50 Minutes unusual?) no, it is not wrong yes, it is wrong
The probability that none of the households are tuned to 50 Minutes is 0.4693. The probability that at least one household is tuned to 50 Minutes is 0.5307. The probability that at most one household is tuned to 50 Minutes is 0.5307. Since the probability of at most one household being tuned to 50 Minutes is relatively high (0.5307), it suggests that the 24% share value might be inaccurate.
To find the probability that none of the households are tuned to 50 Minutes, we need to calculate the complement of at least one household being tuned to the show. The complement is 1 minus the probability of at least one household tuning in. Therefore,
P(none) = 1 - P(at least one) = 1 - 0.5307 = 0.4693.
Similarly, to find the probability of at least one household being tuned to 50 Minutes, we can calculate the complement of none of the households tuning in. This is simply 1 minus the probability of none of the households tuning in. Therefore, P(at least one) = 1 - P(none) = 1 - 0.4693 = 0.5307.
The probability that at most one household is tuned to 50 Minutes is the sum of the probabilities of none and only one household tuning in. Since the probability of at least one household tuning in is 0.5307, the probability of at most one household tuning in is also 0.5307.
Since the probability of at most one household being tuned to 50 Minutes is relatively high (0.5307), it suggests that the 24% share value might be inaccurate. If the actual share value were 24%, we would expect a lower probability of at most one household tuning in. However, since the probability is relatively high, it indicates that the share value might be wrong or inaccurate. Further investigation or a larger sample size might be necessary to confirm the accuracy of the share value.
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NO ONE IS HELPING ME :((((((((
The height, h, of a stomp rocket (propelled by a short blast of air) above the ground after t seconds is given by the equation h(t)=5+100t−16t2. Here is a graph that represents h.
1. What does the 5 in the equation represent?
2. What does 100t in the equation mean in terms of the rocket?
3. Approximately when does the rocket hit the ground?
4. What domain makes sense for the function in this context?
Answer:
Given equation and the graph of it:
h(t) = 5 + 100t − 16t²1. What does the 5 in the equation represent?
5 represent a height of the release of the rocket2. What does 100t in the equation mean in terms of the rocket?
100t is determining the maximum height that the rocket can reach3. Approximately when does the rocket hit the ground?
As per the graph it is after 6.3 seconds it was launched4. What domain makes sense for the function in this context?
Domain of the function is:
0 ≤ t ≤ 6.3This is the time the rocket is in the air until it hits the ground
Answer: it will hit the ground around 6.2 seconds
The domain is 0 ≤ t ≤ 6.3
Select the equivalent expression.
Answer:
D
Step-by-step explanation:
Answer:
the answer is d
hope it helps !!
please help lol
“the opposite of a positive number is always zero,positive or negative which one is it!
Answer:
the opposite of a positive number is always negative