Step-by-step explanation:
(x - 60)° and 90° are supplementary angles on a straight line.
Therefore x - 60 + 90 = 180 and x = 150.
Damien had $96.22 in his savings account. He withdrew some of the money to purchase clothes for school. He now has $37.86 in his account. How much money did Damien withdraw?
Answer:
I think the answer would be $58.35
Step-by-step explanation:
Answer:
$58.36
Step-by-step explanation:
you have $96.22 subtract 37.86 from that since its what he has left
$96.22 - $37.86= $58.36
Help, it's due today
:(
Answer:The first 1 is 98
The second one I have no idea sorry-
Same with third one
and forth 1 sorry I cant help u with the last 3 I hope someone else does :)
Step-by-step explanation:
What do the following two equations represent? Y-3=2(x-3) and y+5=2(x+1)
Answer:
A The same line.
Step-by-step explanation:
During the summer, Mr. Brust does a lot of napping (and snoring)! In a typical nap, Mr. Brust will snore on average 320 times (or the ratio of naps to snores is 1 nap : 320 snores). Find the total number of times Mr. Brust snored last summer during naps in July and August if he took one nap everyday.
Answer: Mr Brust snored a total of 19,840 times last summer
Step-by-step explanation:
Mr Brust snores in the ratio of 1 nap : 320 snores or 1 nap = 320 snores
Given that he took a nap everyday, last summer We have that .
For the month of July,
he had 31 naps( 31 days are in July)
Number of snores he made =31 x 320=9,920 snores
For the month of August
he also took 31 naps ( 31 days are in AugusT)
Number of snores he made = 31 x 320=9,920 snores
Therefore Mr Brust snored a total of 9,920+ 9,920 =19,840 times
which of the following transformation carry the given regular polygon onto itself
The required transformation of the regular polygon to onto itself is a rotation by the angle of 360° around its own center or any point in the plane.
Given that,
To determine which transformation carries the given regular polygon onto itself.
Here,
According to the question as asked.
There are only 2 usual possible ways of transforming a regular polygon that will onto itself as,
(1) A perfect rotation of 360° around its own center.
(2) A rotation of 360° around any point in the space and plane containing the regular polygon.
Thus, the required transformation of the regular polygon to onto itself is a rotation by the angle of 360° around its own center or any point in the plane.
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HELP ME NO LINKS :( ........................
Answer:
-1
Step-by-step explanation:
y=y
x+5=-3x+1
x+3x=1-5
4x=-4
x=-4/4
x=-1
None of the answers I got is an answer choice
Answer:
N/A
Step-by-step explanation:
1. subtract 3 from both sides to isolate the square root and its coefficient
5√(5-x) = - 10
2. divide both sides by 5 to isolate the square root
√(5-x) = -2
this means that the square root of something would be negative, which is not possible
Find the product.
−32⋅4⋅12(10−8)
Enter your answer as a number, like this: 42
Answer:
-3072
Step-by-step explanation:
-32(4)(12)(10-8)
-32(4)(12)(2)
-128(12)(2)
-3072
4. What fraction of 2hrs 15 minutes is 1/4 of an hour?
The fraction of 2 hrs 15 minutes to 1/4 of an hour is 1/9.
What is fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Since,
1 hour = 60 minutes.
2 hours = 120 minutes.
2 hours 15 minutes = 120 + 15 = 135 minutes.
1/4 of an hour = 60/4 = 15 minutes.
So, the fraction is,
\(\frac{15}{135} = \frac{1}{9}\)
Therefore, the fraction of 2 hrs 15 minutes to 1/4 of an hour is 1/9.
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helen rolls a dice and flips a coin.
calculate the probability
Answer:
1/12
Step-by-step explanation:
dice rolling=1/6
coin flipping=1/2
Hence probability=1/6×1/2
Answer:
Dice roll = 1/6
Coin flip = 1/2
Consider sampling the signal x(t) = sin (2πt). Sketch the FT of the sampled signal for the following sampling intervals:
(i)- Ts=1/8
(ii)-Ts= 1/3
(iii)- Ts=1/2
The FT of the sampled signal will have spectral replicas centered around:
i) ±8, ±16, ±24, and so on.
ii) ±3, ±6, ±9, and so on.
iii) ±2, ±4, ±6, and so on.
When sampling a continuous-time signal, it is important to consider the effect of the sampling interval on the frequency content of the sampled signal. The Fourier Transform (FT) of the sampled signal can provide insights into this effect. Let's examine the FT of the sampled signal x(t) = sin(2πt) for different sampling intervals:
(i) Ts = 1/8:
With a sampling interval of Ts = 1/8, the sampling frequency (Fs) is the reciprocal of Ts, which is 8. The Nyquist frequency (Fnyquist) is Fs/2, which is 4. Since the original signal x(t) has a frequency component of 1, which is less than Fnyquist, the FT of the sampled signal will exhibit spectral replicas around multiples of the sampling frequency Fs. Therefore, the FT of the sampled signal will have spectral replicas centered around ±8, ±16, ±24, and so on.
(ii) Ts = 1/3:
With a sampling interval of Ts = 1/3, the sampling frequency Fs is 3, and the Nyquist frequency is Fs/2, which is 1.5. The original signal x(t) has a frequency component of 1, which is also less than Fnyquist. Similar to the previous case, the FT of the sampled signal will exhibit spectral replicas around multiples of the sampling frequency Fs. Therefore, the FT of the sampled signal will have spectral replicas centered around ±3, ±6, ±9, and so on.
(iii) Ts = 1/2:
With a sampling interval of Ts = 1/2, the sampling frequency Fs is 2, and the Nyquist frequency is Fs/2, which is 1. The original signal x(t) has a frequency component of 1, which is equal to Fnyquist. This is known as the critical sampling rate. At the critical sampling rate, the FT of the sampled signal will have spectral replicas that touch or overlap, resulting in aliasing. Therefore, the FT of the sampled signal will exhibit overlapping spectral replicas centered around ±2, ±4, ±6, and so on, due to aliasing effects.
In summary, for the given signal x(t) = sin(2πt), the FT of the sampled signal will exhibit spectral replicas centered around multiples of the sampling frequency, with the extent and overlap of the replicas determined by the specific sampling interval.
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Help please!!!!
Amara has taken out a fixed rate mortgage for $125,000 at 4.04% for 20 years, or 240 months. Her payments are $730. What is the total cost of the loan?
A. $130,050
B. $175,200
C. $211,680
D. $226,000
Answer:
B. $175,200
Step-by-step explanation:
Monthly payment
$730Number of payments
240Total cost of the loan is:
$730*240 = $175200Correct answer choice is: B
Answer:
Hello, the total cost of the loan is $175,200 i have the same question on my previous exam and did the work to double check
i need help plz need it
Answer:
\(y=-3x+10\)
Step-by-step explanation:
y=mx+b is the slope intercept form.
Exposure to dust at work can lead to lung disease later in life. One study measured the workplace exposure of tunnel construction workers. Part of the study compared 115 drill and blast workers with 220 outdoor concrete workers. The mean exposure for the drill and blast workers was compared to the mean exposure for the outdoor concrete workers. Assuming the datasets meet all conditions for the validity of a t-test, which one of the below is the best t-test to use in this instance? A. We cannot do a t-test, because we are only observing the situation. B. two-sample t-test (two independent samples) C. a paired t-test D. one-sample t-test
The best t-test to use in this instance would be the two-sample t-test (two independent samples).
This is because the study compared two different groups of workers with different levels of exposure to dust.
The datasets meet the conditions for the validity of a t-test, as they are independent and have a normal distribution.
Option A is incorrect, as a t-test can be used to analyze the data.
Option C is also incorrect, as a paired t-test would be used when comparing two related samples, such as before and after exposure.
Option D is not applicable, as a one-sample t-test would be used when comparing a sample mean to a known population mean.
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What is the measure of x in triangle ABC?
A. 41°
B. 61°
C. 31°
D. 51°
Answer:D.51
Step-by-step explanation:180-68-61=51
Answer:
68+61+X=180°
129+X=180°
X=180°-129
X=51°
(a) what is the probability that the first sample following the mean shift produces a statistics that plots inside the control limits?
The probability that the first sample following the mean shift produces a statistics that plots inside the control limits: β ^{m-1}( 1-β )
What is Probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Pr(shift found on mth sample) = Pr (not detected for (m-1) samples) x Pr (detected on mth)
= [ 1-(1-β) ]^{m-1} ( 1-β )
=β ^{m-1}( 1-β )
the anticipated number of subgroups to be examined before the shift is seen
ARL=1/{1-β}
Shift not detected on the first sample following the shift:
Pr = 1-(1-β) = β
Pr n successive samples that are outside of the control limits
= ( 1- β )^{n}
f) the likelihood that at least one out of n consecutive statistical plots will fall outside the control limit.
=[1- ( 1- β )]^{n}
=β^{n}
Hence, The probability that the first sample following the mean shift produces a statistics that plots inside the control limits is β ^{m-1}( 1-β )
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X+2y=0 4y=-2x graphed
Helpp
The system of equations has infinite solutions.
How to solve the system of equations?Here we have the system of equations:
x + 2y = 0
4y = -2x
And we want to solve it graphically. To do so, we need to graph both of the equations in the same coordinate axis, and find the point where the graphs intercept.
In the graph below you can see that there is only one line, that happens because both of the equations represent the same line.
Then the system of equations has infinite solutions.
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what is the domain of the function shown in the graph below?
The domain of the function shown in the graph above include the following: D. {x|x ≥ -4}.
What is a domain?In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.
In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
By using set builder notation, the domain of this function shown in the graph above can be written as follows;
Domain = {-4, ∞}
Domain = {x|x ≥ -4}
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For 15-20, solve each equation. Identifyany extraneous roots. I don’t need explanations, i’ve completed it until: x^3+6x^2+4x+24=0
we have the equation
\((8x-16)^{\frac{1}{3}}=x+2\)elevated to the cubic on both sides
\((8x-16)=(x+2)^3\)Expand the right side
\(\begin{gathered} (8x-16)=(x+2)^2(x+2) \\ (8x-16)=(x^2+4x+4)^(x+2) \\ (8x-16)=x^3+2x^2+4x^2+8x+4x+8 \\ 8x-16=x^3+6x^2+12x+8 \\ x^3+6x^2+12x+8-8x+16=0 \\ x^3+6x^2+4x+24=0 \end{gathered}\)For the cubic equation
For x=-6
the equation is equal to zero
so
x=-6 is a root
Divide the cubic function by the factor (x+6)
x^3+6x^2+4x+24 : (x+6)
x^2+4
-x^3-6x^2
-------------------------
4x+24
-4x-24
--------------
0
therefore
x^3+6x^2+4x+24=(x+6)(x^2+4)
Solve the quadratic equation
x^2+4=0
x^2=-4
x=2i and x=-2i
the solutions are
x=-6
x=2i
x=-2i
Verify in the original equation
For x=-6
\(\begin{gathered} \sqrt[3]{(8(-6)-16)}=-6+2 \\ -4=-4\text{ ----> is true} \end{gathered}\)The solution is x=-6x=2i and x=-2i are not solutions for the given equation
which graph represents the line that has intercepts at (5,0) and (0,-4)?
Answer:
H.
Step-by-step explanation:
The graph goes through 5 of the x -axis and -4 on the y axis
Answer:
graph H. represent the line that has intercepts at (5,0) and (0,-4)
Which function has an inverse that is a function?
give the total number of isomers with the formula [pd(c2o4)2i2]2–.
The total number of isomers with the formula [Pd(C2O4)2I2]2– is 3150.
There are two parts to this answer: the first part is to determine the coordination number of the central palladium (Pd) atom, and the second part is to determine the number of possible isomers based on the coordination number.
To determine the coordination number, we need to count the number of ligands (the molecules that bind to the central atom) attached to the Pd atom. In this case, we have four oxalate (C2O4) ligands, each of which contributes two atoms (a total of eight atoms), and two iodide (I) ligands, each of which contributes one atom (a total of two atoms). This gives us a total of 10 ligands attached to the Pd atom. Since each ligand can only form one bond with the Pd atom, the coordination number is 10.
Next, we need to determine the number of possible isomers. Isomers are molecules with the same chemical formula but different arrangements of atoms. For this complex ion, there are two types of isomers: geometrical and optical.
Geometrical isomers arise from the fact that the ligands can be arranged around the central atom in different ways. In this case, since there are 10 ligands, there are a total of 10!/[(4!2!2!)x2] possible geometrical isomers, or 3150.
Optical isomers arise when there are non-superimposable mirror images of the molecule. However, since this complex ion has a plane of symmetry, it is achiral and does not have optical isomers.
Therefore, the total number of isomers with the formula [Pd(C2O4)2I2]2– is 3150.
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A company wants to compare three different point-of-sale promotions for its snack foods. The three promotions arePromotion 1: Buy two items, get a third free.Promotion 2: Mail in a rebate for $1.00 with any $2.00 purchase.Promotion 3: Buy reduced-price multipacks of each snack food.The company is interested in the average increase in sales volume due to the promotions. Fifteen grocery stores were selected in a targeted market, and each store was randomly assigned one of the promotion types. During the month-long run of the promotions, the company collected data on increase in sales volume (Y, in hundreds of units) at each store, to be gauged against average monthly sales volume (X, in hundreds of units) prior to the promotions. Let Z1 = 1 if promotion type 1, or 0 otherwise. Let Z2 = 1 if promotion type 2, or 0 otherwise. The sample data are shown in the following table.a. State an ANACOVA regression model for comparing the three promotion types, controlling for average pre-promotion monthly sales.b. Identify the model that should be used to check whether the ANACOVA model in part (a) is appropriate. Carry out the appropriate test.c. Using ANACOVA, determine adjusted mean increases in sales volume for the three promotions, and test whether they differ significantly from one another. (Note: Mean pre-promotional average sales volume = 33.6667; unadjusted mean increases in sales volume were 13.4 for promotion 1, 12.4 for promotion 2, and 17.6 for promotion 3.)
a. The ANACOVA regression model for comparing the three promotion types, controlling for average pre-promotion monthly sales, can be stated as:
Y = β0 + β1X + β2Z1 + β3*Z2 + ε
Where:
Y represents the increase in sales volume (dependent variable).
X represents the average pre-promotion monthly sales volume (covariate).
Z1 and Z2 are indicator variables for promotion types 1 and 2, respectively.
β0, β1, β2, and β3 are the coefficients to be estimated.
ε is the error term.
b. To check whether the ANACOVA model is appropriate, the assumption of linearity between the covariate (X) and the dependent variable (Y) should be tested. This can be done using a scatterplot of Y against X and examining the pattern of the data points. Additionally, a residual plot can be used to assess the assumption of homogeneity of variances.
c. To determine the adjusted mean increases in sales volume for the three promotions and test for significant differences, the ANACOVA model can be fitted using the given data. The estimated coefficients can be used to calculate the adjusted means for each promotion type, while controlling for the average pre-promotion monthly sales.
The statistical analysis will provide the adjusted mean increases in sales volume for each promotion type, and a hypothesis test can be conducted to determine if there are significant differences among the promotions
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HELP!!!!!!
i’m uneducated and i don’t know how to do this:(
i’ll give a brainist to that correct response:)
Answer: Xy=7
Step-by-step explanation: so if xz is the median it hits in the middle of WY and since the legnth of WY is given the length of xy is 7
6q+4-q+5 please answer quickly ik this question may seem easy but I’m not that smart hah
Answer:
5q + 9
Step-by-step explanation:
The Concept in that Question is adding Like-Terms
6q + 4 - q + 5 = ( 6q - q ) + ( 4 + 5 ) = 5q + 9
Find the distance between the points (-4,1) and ( – 4, -8).
Answer: 9 units
Step-by-step explanation:
If you draw this one out, you should be able to notice that it is only a vertical distance it travels, which means that the difference in y-units should give you the distance.
A carpenter needs to cut 24-inch pieces of wood from a board that is 17 feet in length. What is the greatest number of 24-inch pieces the carpenter can cut from 6 of these boards of wood?
The greatest number of 24 inch pieces the carpenter can cut from 6 boards of wood is 51.
How to find the greatest number of 24 inches pieces that can be cut from the board?A carpenter needs to cut 24-inch pieces of wood from a board that is 17 feet in length.
Therefore, the greatest number of 24 inches pieces the carpenter can cut from 6 of these boards of wood can be calculated as follows:
let's convert from feet to inches.
17 feet = 204 inches
1 board = 204 inches
6 board = ?
cross multiply
length of 6 board = 204 × 6
length of 6 board = 1224 inches
Hence,
greatest number of 24 inch that can be cut from 6 boards = 1224 / 24
greatest number of 24 inch that can be cut from 6 boards = 51
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write the sentence as an equation, 341 is the same as 19 divided by b
Answer:
19/b =341
Step-by-step explanation:
Division in algebra is shown in fractions so if you put 19 over b it means 19 divided by b.
Given that f(x)=2x + cos(2) is one-to-one, use the formula (f-1)'(x) = 1 /(f'( f '-1)(x))) to find (f 1)'(1) =
(f-1)'(1) = 1 / (2 - sin(2)).
Given that f(x)=2x + cos(2) is one-to-one, we can use the formula (f-1)'(x) = 1 /(f'( f-1)(x))) to find (f-1)'(1).
First, we need to find f'(x). The derivative of f(x) is f'(x) = 2 - sin(2).
Next, we need to find f-1(x). Since f(x) is one-to-one, we can switch x and y and solve for y to find the inverse function. So we have:
x = 2y + cos(2)
x - cos(2) = 2y
y = (x - cos(2))/2
Therefore, f-1(x) = (x - cos(2))/2.
Now we can plug in f'(x) and f-1(x) into the formula (f-1)'(x) = 1 /(f'( f-1)(x))) to find (f-1)'(1):
(f-1)'(1) = 1 / (f'( f-1)(1))
(f-1)'(1) = 1 / (2 - sin(2))
Therefore, (f-1)'(1) = 1 / (2 - sin(2)).
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HELPPPP
If f(x) = 2x + 1, what is f(x) when x = 3?
1
7
ОООО
13
19