Which ordered pairs are solutions to the equation x+6y=4?
Answer:
(10 , -1)
Step-by-step explanation:
(10)+6(-1)=4
10-6=4
bcore: 9/ 120 5/17 answered Question 7 You deposit $4000 in an account earning 7% interest compounded monthly. How much will you have in th account in 10 years? Submit Question
Answer:
8038.65
Step-by-step explanation:
[tex]4000(1+\frac{.07}{12})^{12*10}=8038.65[/tex]
On a piece of paper, graph y = -x2 + 4x - 3 and identify the zeros. Then determine which answer choice matches the graph that you drew and correctly identifies the zeros.
Answer:
C. 1 and 3
Step-by-step explanation:
A group of 12 friends bought tickets for an afternoon concert. However, not all of the friends were able to sit together. Tickets for floor seats cost $15 each, and tickets for tier seats cost $70 each. The total cost of the tickets was $345. How many tickets for tier seats did they purchase
Answer:
3 tier seats tickets
Step-by-step explanation:
Let the friends that bought floor seats be x and let the friends that bought tier seats be y.
Thus;
x + y = 12 - - - (eq 1)
Floor seats tickets cost $15 each, and tier seats tickets cost $70 each. The total cost of the tickets was $345. Thus;
15x + 70y = 345 - - - (eq 2)
Let's make x the subject in eq (1)
x = 12 - y
Putting this for x in eq 2 gives;
15(12 - y) + 70y = 345
180 - 15y + 70y = 345
55y = 345 - 180
55y = 165
y = 165/55
y = 3
Put 3 for y in x = 12 - y to get;
x = 12 - 3
x = 9
Thus, they purchased 9 floor seats tickets and 3 tier seats tickets
The graph below shows the graphs of the linear function Y = 7x and the exponential function y=7%.
Which statement is true?
1. The growth rate of the exponential function exceeds the growth rate of the linear function for -1sx53.
2. The growth rate of the exponential function exceeds the growth rate of the linear function for 0≤x≤3.
3. The growth rate of the exponential function exceeds the growth rate of the linear function for-15xs1.
4. The growth rate of the exponential function exceeds the growth rate of the linear function for 1sxs 3.
Answer:
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 > x > 3
Step-by-step explanation:
edg2020 thank me latter
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.
We have,
The graph of the linear function y = 7x is a straight line with a constant slope of 7, while the graph of the exponential function y = 7% is an increasing curve that starts at y = 1 and approaches y = infinity as x increases.
To compare the growth rates of the two functions, we can look at their derivatives.
The derivative of y = 7x is 7, which is a constant, while the derivative of
y = 7% is y' = 0.07y, which is proportional to y.
Now,
For x < 0, the growth rate of the linear function y = 7x exceeds the growth rate of the exponential function y = 7%.
This eliminates options 1 and 3.
For x > 0, the growth rate of the exponential function y = 7% exceeds the growth rate of the linear function y = 7x, since the derivative of the exponential function is proportional to the function itself.
This eliminates option 2.
Thus,
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.
Learn more about functions here:
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How is the graph below misleading?
different widths of the bars
too large of increments used
y-axis doesn't begin at zero
broken y-axis
Answer:
A is the right answer
Step-by-step explanation:
the y axis can start at 0 and the y axis isn't broken. and the increments aren't to large so most reasonable will be A
Answer:
different widths of the bars
Step-by-step explanation:
the y-axis does begin at 0, the increments are reasonable, and the y-axis is not broken
the widths of the bars are visibly different, so that answer makes the most sense.
The hours of daylight, y, in Utica in days x from January 1, 2013 can be modeled by the equation y = 2.89sin(0.0145x-1.40) + 10.99. How many hours of daylight, to the nearest tenth, does this model predict for February 21, 2013?
Answer:
9.3 hours
Step-by-step explanation:
Given
[tex]y = 2.89\sin(0.0145x-1.40) + 10.99.[/tex]
Required
Hours of sunlight on Feb 21, 2013
First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013
[tex]days = 52[/tex]
So:
[tex]x = 52[/tex]
So, we have:
[tex]y = 2.89\sin(0.0145x-1.40) + 10.99.[/tex]
[tex]y = 2.89\sin(0.0145*52-1.40) + 10.99.[/tex]
[tex]y = 2.89\sin(0.754-1.40) + 10.99.[/tex]
[tex]y = 2.89\sin(-0.646) + 10.99.[/tex]
[tex]y = 2.89*-0.6020 + 10.99.[/tex]
[tex]y = -1.740 + 10.99.[/tex]
[tex]y = 9.25[/tex]
[tex]y = 9.3[/tex] --- approximated
PLEASE HELP !!! WILL MARK WHOEVER GETS IT RIGHT AS BRAINLIEST !!
Answer:
Last one (x + 4, y - 1).
Step-by-step explanation:
From the point, you go right 4 (going right on a graph is positive).
From there, you go down 1 (going down on a graph is negative).
I need help pls and thank you
Answer:
unbounded region
A feasible region that cannot be enclosed in a closed figure is known as an unbounded region. A feasible region is a set of all possible points of an optimization problem that satisfy the problem's constraints; feasible sets may be bounded or unbounded.
Step-by-step explanation:
(2x+8)-(x-8) PLS HELP
Suppose g(m) varies inversely with M and g (m) = 3.5 when m = 10.
What is the value of m when g (m) = 5 ?
Answer:
m =7.
Step-by-step explanation:
Let the constant number = k.
g(m) = k/m,
3.5 = k/10,
k = 35.
Thus, when g(m) = 5 = 35/m, m = 7.
A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces. When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans. Find a linear relationship in the form y=mn+b that gives the yield when n stalks are planted.
Answer:
[tex]y = -\frac{1}{3}m + 41[/tex]
Step-by-step explanation:
Linear equation:
A linear function has the following format:
[tex]y = mn + b[/tex]
In which m is the slope and b is the y-intercept.
When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans.
This means that these two points belong to the line: (30,31), (36,29).
Finding the slope:
When we have two points, the slope is given by the change in the output divided by the change in the input.
Change in the output: 29 - 31 = -2
Change in the input: 36 - 30 = 6
Slope:
[tex]m = \frac{-2}{6} = -\frac{1}{3}[/tex]
Thus
[tex]y = -\frac{1}{3}m + b[/tex]
Finding b:
We take one of the points and replace on the equation.
(30,31) means that [tex]m = 30, y = 31[/tex]. Thus
[tex]y = -\frac{1}{3}m + b[/tex]
[tex]31 = -\frac{1}{3}(30) + b[/tex]
[tex]31 = -10 + b[/tex]
[tex]b = 41[/tex]
Thus
[tex]y = -\frac{1}{3}m + 41[/tex]
II ZPQR measures 75', what is the measure of SQR?
22
0 45°
0 539
097
Answer:
53degrees
Step-by-step explanation:
Find the diagram attached
<PQR = 75degrees
From the diagram'
<SQR + <PQS = <PQR
<SQR + 22 = 75
<SQR = 75-22
<SQR= 53degrees
Hence the measure of <SQR is 53degrees
Which of the following terms have a GCF of ? Select two options.
Answer:
hi please upload the photo so we can help :)
Answer:
A:12p^3r and D:54p^3
Step-by-step explanation:
given the points (-4,8)and(6,-12)
1 Determine the midpoint of the line segment connecting the points.
2 Determine the distance separating the two points
Answer:
1.
[tex]midpoint = ( \frac{ - 4 + 6}{2} , \: \frac{ - 12 + 8}{2} ) \\ = (1, \: - 2)[/tex]
2.
[tex]distance = \sqrt{ {( - 4 - 6)}^{2} + {( - 12 - 8)}^{2} } \\ = \sqrt{500} \\ = 22.4 \: units[/tex]
If a distribution for a quantitative variable is thought to be nearly symmetric with very little variation,and a box and whisker plot is created for this distribution,which of the following is true?
A) The box will be quite wide but the whisker will be very short.
B) The left and right-hand edges of the box will be approximately equal distance from the median.
C) The whiskers should be about half as long as the box is wide.
D) The upper whisker will be much longer than the lower whisker.
Answer:
B). The left and right-hand edges of the box will be approximately equal distances from the median.
Step-by-step explanation:
The 'symmetry' si described as a 'satisfying arrangement of a balanced distribution of the elements of the whole' while a 'symmetry group' is characterized as a group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.
As per the given conditions, the second statement asserts a true claim regarding the keeping of edges of left, as well as, right-hand side's boxes at equal intervals from the median. This will help in making the arrangement fulfilling while keeping a little scope for the variation. Thus, option B is the correct answer.
find the missing angle measure in each triangle. Then classify the triangle as acute, right, or obtuse. PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
17
Answer: The missing angle is 32 degrees.
Step-by-step explanation: All the degrees in a triangle sum up to 180 degrees. Add the two known angles and subtract the sum from 180
Hope this helps! :)
HII TYSM IF YOU ANSWER ILL GIVE BRAINLIEST did I get some of these right? if not lmk :)
Khalfan height in inches is 30 inches. What is his height in feet.
Answer:
2.5 ft
Step-by-step explanation:
there are 12 inches in a foot, so divide the number of inches by 12
30 ÷ 12 = 2.5
2.5 feet (ft)
hope this helped!
Answer:
If Khalfan is 30 inches, he is 2.5 feet
Step-by-step explanation:
1 foot is 12 inches, so to get closest to 30, you double 12 to 24, and then you add another 6 inches, which is half of 1 foot, and there you go! You're welcome!
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For this line 3x−4y−12=0, which statement is true? 1- The x-intercept is 4, and the y-intercept is 3. 2-The x-intercept is 4, and the y-intercept is -3 3-The x-intercept is 3, and the y-intercept is -4. 4-The x-intercept is 3, and the y-intercept is 4.
9514 1404 393
Answer:
2. The x-intercept is 4, and the y-intercept is -3
Step-by-step explanation:
The given equation is in general form. I find it easier to see the intercepts when the equation is written in standard form:
3x -4y = 12
Setting y=0 and solving for x, we have the x-intercept:
3x = 12 ⇒ x = 12/3 = 4
Setting x=0 and solving for y, we have the y-intercept:
-4y = 12 ⇒ y = 12/-4 = -3
The x-intercept is 4; the y-intercept is -3.
PLEASE HELP!
A 95% confidence interval is found to be (28, 32). The sample standard deviation is 7, and the sample size is 49. If you wanted a smaller interval, what could you do? A. Decrease the sample size to 36. B. Increase the standard deviation to 10. C. Increase the confidence level to 99.7%. O D. Increase the sample size to 64. SUBMIT
Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:
D. Increase the sample size to 64.
What is the margin of error of a confidence interval?It is given by the following formula:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
z is the critical value(direct proportional with the confidence level).s is the standard deviation.n is the sample size.For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.
More can be learned about margin of error at https://brainly.com/question/25779324
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A)Chris and Alex Were Building a sand Castle. They Decided to make it into a cone shape. After some time, the diameter of the the sand shaped cone was 12in and the height was 7in. What is the exact volume of the sand cone?
B) the kids kept adding sand, ten minutes later the volume of the sand cone had increased by 30%. what is the exact volume of the sand cone now?
Answer:
A.) 84π | B.) 546π/5
Step-by-step explanation:
A.)
V(Cone) = πr²(h/3) where r = radius and h = height.
r = d/2 where d = diameter.
r = 12/2 = 6
V(Cone) = π(6)²(7/3) = π(36)(7/3) = 84π
B.)
84π · 0.3 = 126π/5
84π + 126π/5 = 546π/5
which undefined term can contain parallel lines?
if 12 people at a party shake Hands once and only once with everyone else how many handshakes occur
serian 144 apretones de manos en total
Answer:
66
Step-by-step explanation:
hope it helps :)
what is the solution of the equation 3x=12 round your answer to the nearest ten thousandth
Answer:
2.2916
Step-by-step explanation:
Imagine bannanas flying into your room? I mean I couldn't imagine that either but im just saying
How many 1/3 servings are in 36 servings?
Answer:
108
Step-by-step explanation: When you want to find out how much a fraction fits into a number, you have to multiply it by how much it takes to make 1 whole number using the fraction. 1/3 requires 3 of them to make 1 whole number. This means that 36 can be multiplied by 3, which gives us the answer of 108
Answer:
108 of 1/3 servings are in 36 servings.
Step-by-step explanation:
3/1 multiples 3 become 1.
1 multiple 36 and equal 36,
so,3 multiple 36.
3×36=108
HELP!!!
A spherical baseball has a diameter of 5 inches and weighs 7 grams per cubic inch. What is the closest weight of the baseball rounded to the nearest gram?
Answer:
69
Step-by-step explanation:
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A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin's work and find his error. ($30.65)(0.60) = $18.39
*Please give an explanation longer than 1 sentence :,)
Answer:
Kelvin’s error is that when he got the final result, that was the amount that was marked down. He still needed to find the price after the original price was marked down by that number wich in this case is $18.39. So using one of his steps, 30.65(0.6)=18.39. We can subtract 30.65 (original price) and 18.39 (mark down price). You’d get 11.26 dollars as the final price.
hi I need help on this
Answer:
144 cm³ or 144 cubic centimeters
Step-by-step explanation:
Volume = Area triangle * height
Area triangle = 1/2 ( 3 x 8) = 1/2( 24) = 12
12 x 12 = 144 cm³
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