Answer:
5
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
When you scale down you divide. it showed that 9 = 3. to go from 9 to 3 you divide by 3. So you have to do the same thing for the other number. So, 18 divided by 3, which is 6.
When you scale up you multiply. it showed that 18 = 36. To get from 18 to 36 you multiply by 2. So, you do the same thing to the other number, 9 times 2, which is 18.
Graph -2/3x+3 please
Answer:
It has a slope of -2/3 and the y intercept is 3
Step-by-step explanation:
Mr. Lewis is 63 years old. He wants to take out a five-year level-term life insurance
policy with a face value $700,000. The monthly premium is $72.
2. If he dies after paying for the policy for 24 months, how much will the insurance
company pay his beneficiaries?
The amount insurance company will pay is $700000.
We are given that
Age of Mr. lewis= 63
Policy value= $700,000
Now,
If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.
Therefore, by algebra the answer will be $700000.
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1.If a line passes through the origin, it passes through the point (0, 0) *
TRUE
FALSE
2.What is the gradient of the line which passes through the points ( -3, 0 ) and ( 0, 3 )? *
A - 1
B - ½
C 1
D ½
Answer:
1.TRUE
2.gradient = change in y
_________
change in x
(-3,0) (0,3)
Step-by-step explanation:
m= y2-y1
_____
x2-x1
m=3-0
___
0 --3.
m= 3
__
3
m= 1
therefore 2. C
The Hawaii Visitors Bureau collects data on visitors to Hawaii. The following questions were among 16 asked in a questionnaire handed out to passengers during incoming airline flights.
• This trip to Hawaii is my: 1st, 2nd, 3rd, 4th, etc.
• The primary reason for this trip is: (10 categories, including vacation, convention, honeymoon)
• Where I plan to stay: (11 categories, including hotel, apartment, relatives, camping)
• Total days in Hawaii
a. What is the population being studied?
b. Is the use of a questionnaire a good way to reach the population of passengers on incoming airline flights?
c. Comment on each of the four questions in terms of whether it will provide categorical or quantitative data.
a. Passengers on incoming airline flights, b. Yes, it is a good way, c. 1st, categorical; Reason, categorical; Stay, categorical; Days, quantitative.
The population being studied is passengers on incoming airline flights. Using a questionnaire to collect data from this population is a good way to reach a large number of travelers quickly and easily. The first question is asking about the number of visits to Hawaii, which will provide categorical data. The second question is asking about the primary reason for the trip, which will also provide categorical data. The third question is asking about where the person plans to stay, which will also provide categorical data. The fourth question is asking about the total days in Hawaii, which will provide quantitative data.
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SOmE ONE PLEASE PLEASE I BEG HELP on number 4.
The absolute value function as piecewise function of y = -3(x + 24)/4 and y = 3(x - 38)/4
The absolute value function is commonly understood as a function providing the distance the number is from zero on a number line.
y = 3/4|x-6|-8
y = 3/4(-(x-6))-8
y= 3/4( -x + 6) -8
y = 3(-x + 6 - 32)/4
4y = -3x - 24
y = -3(x + 24)/4
For another function of y
y = 3/4|x-6|-8
y= 3/4( x - 6) -8
y = 3(x - 6 - 32)/4
4y = 3(x - 38)
y = 3(x - 38)/4
The absolute value function as piecewise function of y = -3(x + 24)/4 and y = 3(x - 38)/4
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Perform the following mathematical operation, and report the answer to the appropriate number of significant figures.
1204.2 + 4.72613 = [?]
The answer is not 1208.92613 / 1200
Answer:
1,208.92613
Step-by-step explanation:
this is the answer
What’s the slope I need help
Answer:
-8/3
Step-by-step explanation:
You want the slope of the line shown in the graph.
Slope from point coordinatesWhether counting grid squares on the graph, or using the slope formula, it is convenient to choose two points on the grid where the line crosses the intersection of grid lines.
It appears, the line passes through grid points (1, 4) and (4, -4). Using the slope formula, we find the slope of the line to be ...
m = (y2 -y1)/(x2 -x1)
m = (-4 -4)/(4 -1) = -8/3
The slope of the line is -8/3.
Counting grid squaresThe slope is the ratio of "rise" to "run" for the line. From the two points we see where the line crosses grid intersections, we have a "rise" of -1 from y=4 to y=-4, and a "run" of 3 from x=1 to x=4.
rise/run = -8/3 = slope of the line
(a) The number of terms in an arithmetic progression is 40 and the last is -54. Given that the sum of the 15 terms added to the sum of the first 30 terms is zero. Calculate (1) The first term and common difference, (ii) the sum of the progression.
(i) The first term (a) is 24 and the common difference (d) is -2.
(ii) The sum of the progression is 2520.
i) Finding the first term and common difference:
Given that the number of terms in the arithmetic progression is 40 and the last term is -54, we can use the formula for the nth term of an arithmetic progression to find the first term (a) and the common difference (d).
The nth term formula is: An = a + (n-1)d
Using the given information, we can substitute the values:
-54 = a + (40-1)d
-54 = a + 39d
We also know that the sum of the first 15 terms added to the sum of the first 30 terms is zero:
S15 + S30 = 0
The sum of the first n terms of an arithmetic progression can be calculated using the formula:
Sn = (n/2)(2a + (n-1)d)
Substituting the values for S15 and S30:
[(15/2)(2a + (15-1)d)] + [(30/2)(2a + (30-1)d)] = 0
Simplifying the equation:
15(2a + 14d) + 30(2a + 29d) = 0
30a + 210d + 60a + 870d = 0
90a + 1080d = 0
a + 12d = 0
a = -12d
Substituting this value into the equation -54 = a + 39d:
-54 = -12d + 39d
-54 = 27d
d = -2
Now we can find the value of a by substituting d = -2 into the equation a = -12d:
a = -12(-2)
a = 24
Therefore, the first term (a) is 24 and the common difference (d) is -2.
ii) Finding the sum of the progression:
The sum of the first n terms of an arithmetic progression can be calculated using the formula:
Sn = (n/2)(2a + (n-1)d)
Substituting the values:
S40 = (40/2)(2(24) + (40-1)(-2))
S40 = 20(48 - 39(-2))
S40 = 20(48 + 78)
S40 = 20(126)
S40 = 2520
Therefore, the sum of the arithmetic progression is 2520.
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Owen receives $10 and puts it into his saving account. He adds $0.50 to the account each day for a number of day, d, after that. He writes the expression 10+ 0.5(d-1) to find the amount of money in his account after d days. Which statement about his expression is true?
The true expression about the account is D.) It is the sum of the initial amount and the additional amount after d days.
What does the expression 10+0.5(d−1) represent in Owen's savings account?The answer is D because it represents the sum of the initial amount and the additional amount after d days. The initial amount is $10 and Owen adds $0.50 to the account each day for a number of days, represented by d.
By subtracting 1 from d, the expression ensures that on the first day (when d=1), only the initial $10 is counted. On each subsequent day, the additional amount of $0.50 is added to the total. Therefore, the expression 10+0.5(d−1) gives the amount of money in Owen's account after d days.
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write y+4=-2(x-1) in slope intercept form
Answer:
y=2x-6
Step-by-step explanation:
y+4=-2(x-1)
Since the slope intercept form is in the form of:
y=mx+c
Making above equation in this form.
y+4=-2(x-1)
opening bracket
y+4=2x-2
subtracting both side by 4.
y+4-4=2x-2-4
y=2x-6
This equation is the slope intercept form.
Please help me as soon as possible.
\(\begin{array}{llll} x~-2y=-13\\ 5x+2y=-17\\ \cline{1-1} 6x+0y=-30 \end{array}\qquad \implies 6x=-30\implies x=\cfrac{-30}{6}\implies x=-5 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 1st equation}}{(-5)-2y=-13\implies }-2y=-8\implies y = \cfrac{-8}{-2}\implies y = 4 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (-5~~,~~4)~\hfill\)
HELP URGENT WHATS THE ANWSER
Answer:
-3,-1
Step-by-step explanation:
The point where they intersect is -3,-1
Hope this helps :D Please mark brainliest if correct :D
Answer:
it's going to be 3,3 is the answer
1. Can we add any two matrices
together? If so, explain why; if
not, explain why not and give an
example of two matrices that
cannot be added together.
Step-by-step explanation:
If we add two matrices,
there rows and columns must be the same.
For example, consider matrix
\( \binom{4}{2} \binom{1}{3} + \binom{5}{9} \)
we cant add these matrices by the first martix had 2 colums and 2 rows.
The second has 1 column and 2 rows.
4y-9=15 what does y equal
How many 11-card hands are possible with a 20-card deck?
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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I need to help me with this problem I'm not sure what I'm supposed to do.
Consider a point with rectangular coordinates (x,y).
If x<0 then the polar coordinates of the point are (r,θ) where r≥0 and −π/2≤θ<3π/2and:
r=
θ=
If x≥0 then the polar coordinates of the point are (r,θ) where r≥0 and −π/2≤θ<3π/2 and:
r=
θ=
Answer:
1.24
Step-by-step explanation:
i subtracted 1-1
If m<7 = (7x+5)° and m<4 = 126°, find the value of x.
The value of x is 7 using the concept supplementary.
What is supplementary angle?
Angles that add up to 180 degrees are referred to as supplementary angles.
The image of a transversal angles is added.
Angle 7 = angle 5 since they are vertically opposite angle.
The sum of interior angle on the same side of the transversal is 180 degree.
angle 5 + angle 4 = 180°
Replace angle 5 by angle 7:
angle 7 + angle 4 = 180°
Substitute the value of angle 7 and angle 4:
(7x + 5)° + 126° = 180°
7x+ 131 = 180
Subtract 131 from both sides:
7x = 49
Divide both sides by 7:
x = 7
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describe the effect of the transformation (x,y) --> (x,y+4)
First correct gets brainliest!
A) Vertical stretch without reflection
B) Vertical stretch with reflection
C) Horizontal translation of 4 units
D) Vertical translation of 4 units
Answer:
D. Vertical translation of 4 units.
Step-by-step explanation:
This transformation keeps x the same but shifts y up 4 units (adding 4 to it). This is a vertical shift up 4, which we can also call a vertical "translation."
This graph shows a proportional relationship.
What is the constant of proportionality?
The constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.
A proportional relationship is a mathematical equation that expresses two variables that are in proportion to one another. In this type of relationship, if one variable is multiplied by a certain constant factor, then the other variable will be multiplied by the same constant factor. For example, if the cost of 3 books is $15, then the cost of 6 books will be $30. In this case, the number of books and the cost of the books are in proportion to one another.
The constant of proportionality is the constant factor by which the two variables are multiplied to obtain each other. In other words, it is the ratio between the two variables that remain constant in a proportional relationship. It can be represented by the letter k, and is calculated by dividing one variable by the other.
To find the constant of proportionality from a graph, we need to look at the slope of the line. The slope is the ratio between the change in the y-values and the change in the x-values, which is also known as the rise over run. If the graph shows a proportional relationship, then the slope will remain constant throughout the graph.
For example, if the graph shows the relationship between the number of hours worked and the amount of money earned, and the slope is 10, then the constant of proportionality is 10. This means that for every hour worked, the person earns $10. The equation for this proportional relationship can be written as y = 10x, where y represents the amount of money earned and x represents the number of hours worked.
In conclusion, the constant of proportionality is a crucial aspect of a proportional relationship, as it tells us how much one variable changes in relation to the other. It can be calculated from the equation of the relationship, or from the slope of the graph if it is a linear relationship.
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For each of the 6 coverage areas of a standard homeowners insurance policy, briefly describe what they cover: Dwelling, Other Structures. Personal Property,
Loss of Use, Personal Liability, Medical Payments
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3. A website is offering a promotion, during which customers can buy up to 100 photos for a flat fee. The
cost per photo varies inversely with the number of photos a customer buys, as shown in the table below.
What function models the data?
To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.
To model this relationship, we can use the inverse variation equation, which can be expressed as:
y = k/x
Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.
Let's examine the data given in the table to find the value of k:
Number of Photos (x) Cost per Photo (y)
10 10
25 4
50 2
100 1
We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):
2 = k/50
Solving for k:
k = 2 * 50 = 100
Now that we have the value of k, we can write the function that models the data:
y = 100/x
Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.
A lateral thoracic spine on a 33-cm patient is usually taken using 100 mA (large focal spot), 0.5 seconds, 86 kVp, 40-inch SID, 12:1 grid ratio. If the mA is increased to 400 to stop motion blur from tremors, which of the following technique changes will produce a radiographic density and contrast most similar to the original?
A 0.13 sec and a 86 kVp technical changes are the changes that would have to produce the radiographic density and the contrast that are more similar to the original.
What is the radiographic density?The radio graphic density can de defined to be the total amount or the overall darkening that can be found in a particular radiograph. This is usually known to have a certain type of density range that lies between 0.3 to 2.0 density.
When there is a density that is less than 0.3, the problem is basically because there is the issue of the density which would be found at the base and the fact that the film that is being used has fog in it.
It is known that based on the values that we have here the density and contrast would have to be of the given kvp of 86 and 0.13 seconds in order to be said to be similar to the original.
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Circle A has a diameter of approximately 20 inches and an area of approximately 300 in2.
Circle B has a diameter of approximately 60 inches.
Which of these could be the area of Circle B? Explain your reasoning.
About 100 in2
About 300 in2
About 900 in2
About 2,700 in2
The value that should be the area of the circle, B whole be = About 900 in². That is option C.
How to calculate the area of the given circle?The formula that can be used to calculate the area of a circle = πr²
But area of circle B can be estimated using the dimensions provided for circle A.
That is;
circle A Diameter = 20 in
Circle A area = 300 in²
Circle B diameter = 60 in
Circle B diameter = X
If , 20 in = 300
60 in = X
Make X the subject of formula;
X = 60×300/20
= 18000/20
= 900 in²
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The Bainters want to know how much they would pay on their
loan each year as well as how much they would pay on their loan
after 5 years, 10 years, 15 years, and 30 years. They also want to
determine how much they would pay in interest on their loan
when they repay the entire loan.
What are the amounts?
Your answer should include (remember to show or explain your
calculations)
the total amount paid in loan payments after 1 year
the total amount paid in loan payments after 5 years
the total amount paid in loan payments after 10 years
the total amount paid in loan payments after 15 years
the total amount paid in loan payments after 30 years
the total amount of interest paid on the loan when it is
repaid
The total amounts paid are displayed in the image below:
What is an Interest Rate?The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate.
The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.
How to calculate interest rates
Using S.I:
Simple Interest: The formula for simple interest is I = P x R x T, where I is the interest, P is the principal amount, R is the rate of interest, and T is the time period.
For example, if you borrow $1,000 at a simple interest rate of 5% per year for 3 years, the interest would be calculated as follows: I = $1,000 x 5% x 3 = $150.
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A company manufacturing computer chips finds that 8% of all chips manufactured are defective. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate. The correct value of the Z-statistic is
Answer:
The correct value of the Z-statistic is z = -1.56
Step-by-step explanation:
A company manufacturing computer chips finds that 8% of all chips manufactured are defective.
This means that the null hypothesis is:
\(H_{0}: p = 0.08\)
A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate.
This means that the alternate hypothesis is:
\(H_{a}: p < 0.08\)
z-statistic:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.
0.08 is tested at the null hypothesis:
This means that \(\mu = 0.08, \sigma = \sqrt{0.08*0.92}\)
After training was implemented, a sample of 450 chips revealed only 27 defects.
This means that \(n = 450, X = \frac{27}{450} = 0.06\)
The correct value of the Z-statistic is
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{0.06 - 0.08}{\frac{\sqrt{0.08*0.92}}{\sqrt{450}}}\)
\(z = -1.56\)
Find the probability that a randomlyselected point within the circle fallsin the red shaded area (square).r = 4 cm4.2 cm[? ]%Round to the nearest tenth of a percent.
First, we need to find the area of the circle
\(A_C=\pi r^2=\pi\left(4\right)^2=50.3\text{ }cm^2\)Then we calculate the area of the square
\(A_S=s^2=\left(4\sqrt{2}\right)^2=32\text{ }cm^2\)If 50.3 cm^2 is 100% what percentage represents 32 cm^2
\(\frac{32\left(100\right)}{50.27}=63.6\text{ \%}\)ANSWER
The probability is 63.6 %
a=12, b=5, c= ? what is C
Answer:
17 or 7
Step-by-step explanation:
if im right brainliest pls
?
Franco, Ivanna, and Esther bought school supplies.
Each person spent between $8 and $13.
Franco bought 6 items.
Ivanna bought 3 items.
Esther bought 4 items.
The prices of the items are given below. Drag items to each box to show what each person could have bought.
So I think I had this for Imagine Math, so here is what I got :D;
Franco (6 items): 6 notebooks = 1.89+1.89+1.89+1.89+1.89+1.89= 11.34
Ivanna (3 items): 1 colored thingy + 2 sharped thingy = 4.29+2.45+2.45= 9.19
Esther (4 items): 1 colored thingy + notebook + sharpened thingy = 1.89+2.45+0.54+4.29= 9.17
I really hope this helps :DDDDDDDD
50 Points! Multiple choice algebra question. Photo attached. Thank you!
The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is, 3 / 5
We have to given that;
the terminal side of theta in standard position contains the point (6,-8)
Hence, For given condition we get;
The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,
Here, x = 6, y = - 8
Hence, We get;
r = √x² + y²
r = √6² + 8²
r = √36 + 64
r = √100
r = 10
So, The exact value of cos theta if the terminal side of theta in standard position contains the point (6,-8) is,
cos θ = x / r
cos θ = 6 / 10
cos θ = 3 / 5
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What is the following sum?
5(³3√x)+9(³√x)
0 14 (√x)
14 (2√x²)
0 14 (3√x)
0
X
The solution for the given expression is 14∛x. The correct option is (C).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as below,
5∛x + 9∛x
The given expression can be simplified as follows,
5∛x + 9∛x
Here, both the terms have equivalent variables. So, both are like terms.
As per the rules like terms can be added or subtracted keeping the variable as the same.
Thus, 5∛x + 9∛x = 14∛x
Hence, the given expression can be evaluated as 5∛x + 9∛x = 14∛x.
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