Answers
❣ [̲̅R̲̅][̲̅e̲̅][̲̅f̲̅][̲̅e̲̅][̲̅r̲̅]
[̲̅T̲̅][̲̅h̲̅][̲̅e̲̅]
[̲̅A̲̅][̲̅t̲̅][̲̅t̲̅][̲̅a̲̅][̲̅c̲̅][̲̅h̲̅][̲̅m̲̅][̲̅e̲̅][̲̅n̲̅][̲̅t̲̅] ❣
❣❣... ℏ✺℘ḙ !т ℏḙℓ℘ṧ ʏ✺ṳ...❣❣
Answer:
The possible solution that is obtained from the system of equation are:
(1,3) and (6,13)
Step-by-step explanation:
We are asked to find the solution set of the given system of equation as:
[tex]y=x^2-5x+7-----------(1)[/tex]
and [tex]y=2x+1--------(2)[/tex]
We know that the solution of the system of equations is the possible set of x and y-values that satisfy both the equations.
Or we may say the point of intersection of the graph that is obtained from both the equations.
We solve the system by substitution method as:
We put the value of y from equation (1) in equation (2) to obtain:
[tex]x^2-5x+7=2x+1[/tex]
which is further written by combining the like terms as:
[tex]x^2-5x-2x+7-1=0\\\\x^2-7x+6=0\\\\x^2-6x-x+6=0\\\\x(x-6)-1(x-6)\\\\(x-1)(x-6)=0[/tex]
Hence, we get the possible values of x as:
x=1 and x=6
Also the value of y when x=1 is:y=2×1+1=2+1 ( Putting the value of x in equation (2))
y=3
when x=6 we have the value of y as:y=2×6+1
y=13
Hence, the possible solutions are:
(1,3) and (6,13)
Related Questions
Consider the following hypothesis test:H0: 20Ha: < 20A sample of 60 provided a sample mean of 19.6. The population standard deviation is 1.6.A sample of 60 provided a sample mean of 19.6. The population standard deviation is 1.6.a. Compute the value of the test statistic (to 2 decimals). If your answer is negative, use minus "-" sign.b. What is the p-value (to 3 decimals)?d. Using = .05, what is the critical value for the test statistic (to 3 decimals)? If your answer is negative, use minus "-" sign. _______What is the rejection rule using the critical value?Reject H0 if z ____ _____
Answers
Answer:
a: z = -1.936
b: 0.0265
d: z < -1.645
Reject H0 if z < -1.645
Step-by-step explanation:
We are given:
H0: µ = 20
HA: µ < 20
n = 60, sample mean: 19.6, σ = 1.6
Since the alternate hypothesis has a < sign in it, it is a left tailed test. The < or > sign in the alternate hypothesis points towards the rejection region.
For a: We need to calculate the test statistic for our situation. This is done with a z-score formula for samples.
For b: we need to use the z-score table to look up the p-value for the score we calculate in part a. The p-value is 0.0265. This means that there is only about a 2.65% chance that the sample values were a result of random chance.
For d: Since the significance level is 0.05, and this is a one tailed test, we have a critical value of z < - 1.645. This means that if the z-score we calculate in part a is less than -1.645, we will reject the null hypothesis
See attached photo for all the calculations!
The test statistic is approximately -4.84 with a p-value close to 0. The critical value is approximately -1.645. The rejection rule is to reject H0 if z < -1.645.
Explanation:a. To compute the test statistic, we can use the formula: z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Given x = 19.6, μ = 20, σ = 1.6, and n = 60, we can calculate the test statistic as follows:
z = (19.6 - 20) / (1.6 / √60) = -1 / 0.2062 ≈ -4.84
b. The p-value can be determined by looking up the test statistic in the standard normal distribution table. However, in this case, the test statistic is already given as -4.84. The p-value associated with this test statistic is extremely small (close to 0), indicating strong evidence against the null hypothesis.
d. For a significance level α = 0.05, the critical value can be obtained by finding the z-score that corresponds to a cumulative probability of 1 - α = 0.95. Looking up this value in the standard normal distribution table, we find that the critical value is approximately -1.645.
The rejection rule using the critical value is: Reject H0 if z < -1.645.
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ABC paint company needs to paint the outside of the building shown. They will also need to paint the roof. What is the surface area that needs to be painted?
3,100 ft 2
4,600 ft 2
4,100 ft 2
4,300 ft 2
see image
Answers
Answer:
3100ft
Step-by-step explanation:
There are 2 sides to the prism that have an area of 50ft * 10ft or 500ft. The total of those will be 500ft * 2 or 1000ft. There are 2 more sides to the prism that have an area of 30ft * 10ft or 300ft. The total would be 300ft * 2 or 600ft. Then the last two sides to the prism have an area of 50ft * 30ft or 1500ft. Since we're imagining this prism to be a house, you can't paint the floor (well, I guess you could but I think they want us to leave that part out because you can't pick the house up to paint the bottom that would be ridiculous). So the surface area is each area added, or 1000ft + 600ft + 1500ft = 3100ft.
Answer:
3,100 ft^2
Step-by-step explanation:
jamal feeds 14.4 pounds of dog food to the 24 dogs at a shelter. each dog gets the same amount of food. six of the dogs eat only 0.4 pound of food each. how much food is left in the bowls of these six dogs in all?
A . 0.2lbs
B. 0.6lbs
C. 1.2lbs
D. 12lbs
Answers
Answer:
1.2 pounds
Step-by-step explanation:
As mentioned in the question,
14.4 pounds of foods is distributed among 24 dogs.
Therefore, each dog gets: [tex]\frac{14.4 (pounds)}{24} = 0.6 pounds[/tex]
6 dogs eat only 0.4 pounds, so the amount left: ( 0.6 - 0.4 ) = 0.2 pounds
Hence, the total food left in the bowls of six dogs = 6 * 0.2 = 1.2 pounds
The landscaper charges a rate of $40 per hour to plant trees.Amelia paid a total of $725 for the trees and for the landscaper to plant them. How many hours did it take the land scaper to plant the trees?
Answers
23.5 hours is the anser yeteressdfdsfsjufrhhmrgijfjfxkjvnrtjeigrjiegre
There were 4 apple trees planted and 3 pecan trees. 2 peach trees for 3 pecan trees. If there 24 peach trees, how many apple trees would you have?
Answers
➷ 4 : 3
? : 3 : 2
The overall ratio is:
4 : 3 : 2 for apple trees to pecan trees, to peach trees.
24/2 = 12
12 x 4 = 48
There would be 48 apple trees.
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The ratio of any number should be taken in its simplest form only. If there were 24 peach trees, then 48 apple trees you would have.
If 4 apple trees are planted then 3 pecan trees are planted.
If 2 peach trees are planted then 3 pecan trees are planted.
Therefore, the ratio will be:
Apple Trees Pecan Trees
4 3
Peach Trees Pecan Trees
2 3
Thus, the ratio is 4:3:2.
Two values are equal to 24 peach trees.
One value is equal to the 12 trees.
The value of an apple is 4, therefore the number of apple trees will be 48 trees.
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Use the table of values below to select the correct statement.
A.
The function f is linear and is growing by equal differences over equal intervals. The growth rate is 6.
B.
The function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245%.
C.
The function f is exponential and is growing by equal factors over equal intervals. The growth factor is 600%.
D.
The function f is linear and is growing by equal differences over equal intervals. The growth rate is 3.5.
Answers
Answer:
do u know the answer??
i think it is The function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245%.
Step-by-step explanation:
The function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245% option (B) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x
where a is a constant and a>1
We have a table in which the x, and f(x) data are shown.
As we can see the value of f(x) is increasing rapidly for every x.
The exponential function is:
y = a(1+r)×
After plugging all points and finding the value of a and r
y = 6.9402(2.4495)×
The exponential growth factor = 1 + r = 2.4495 ≈ 2.45 or 245%
Thus, the function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245% option (B) is correct.
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Please help with this question! Thanks!! I will mark brainliest if it lets me!
Answers
Answer:
[tex]\large\boxed{D)\ y=\dfrac{1}{5}x+5}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have the y-intercept (0, 5) ⇒ b = 5
and the other point (5, 6).
Put the coordinates of the point to the formula of a slope:
[tex]m=\dfrac{6-5}{5-0}=\dfrac{1}{5}[/tex]
Finally we have the equation:
[tex]y=\dfrac{1}{5}x+5[/tex]
Linda has a bag of marbles. She chooses a marble from the bag, writes down the color, and places the marble back in the bag. She repeats this process 130 times. Linda calculates the relative frequency of each color marble. Outcome Orange Green Black Yellow Blue Relative frequency 0.18 0.20 0.19 0.22 0.21 Which statement about Linda's experiment is true? The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Linda's experiment. The outcomes appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Linda's experiment. The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Linda's experiment. The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Linda's experiment.
Answers
Answer:
this is the correct answer 100% correct dont forget to friend request me bye
Step-by-step explanation:
graphing a line given its slope and y-intercept
graph the line - 3 / 2 and y-intercept -2
the fraction is negative
Answers
Answer:
see below for a graph
Step-by-step explanation:
One point can be plotted at the y-intercept: (0, -2). Since the slope tells you the line drops 3 units for each 2 units to the right, the point (2, -5) will be another point on the line. The graph will go through those two points.
Two people become infected with a virus that spreads quickly. Each day that passes, the number of infected people triples. How can the number of infected people be determined from the number of days that have passed?
Answers
Answer:
Raise 3 to the number of days and then multiply this value by 2.
Step-by-step explanation:
TTM/Imagine Math.
The correct answer is:
C. Raise the number of days to the third power and then multiply this value by 2.
Sure, here's a step-by-step solution:
1. Initial Number of Infected People: Start with the initial number of infected people, which is 2 in this case.
2. Exponential Growth Model: Use the exponential growth model to represent the increase in the number of infected people each day. The model is given by the formula [tex]\(I = a \cdot 3^D\)[/tex], where:
- [tex]\(I\)[/tex] is the number of infected people,
- [tex]\(a\)[/tex] is the initial number of infected people (which is 2),
- [tex]\(3\)[/tex] represents the tripling effect each day, and
- [tex]\(D\)[/tex] is the number of days that have passed.
3. Raise 3 to the Power of Number of Days: Raise 3 to the power of the number of days that have passed. This accounts for the tripling effect each day.
4. Multiply by Initial Number of Infected People: Multiply the result from step 3 by the initial number of infected people (which is 2). This gives the total number of infected people after the given number of days.
So, to determine the number of infected people from the number of days that have passed, raise 3 to the power of the number of days and then multiply this value by 2. Therefore, option C is the correct answer.
The correct question is:
Two people become infected with a virus that spreads quickly. Each day that passes, the number of infected people triples. How can the number of infected people be determined from the number of days that have passed?
A. Raise 3 to the number of days and then multiply this value by 2 .
B. Add the number of days to 2 and then multiply this sum by 3.
C. Raise the number of days to the third power and then multiply this value by 2 .
D. Multiply the number of days by 3 and then add 2 to this product.
Find the area of the parallelogram. HELP ASAP!!
Answers
Answer:
A) 300 cm2
Step-by-step explanation:
First you have to find height
use Pythagorean theorem: a2 + b2 = c2
[tex]h^{2}+ 8^{2} = 17^{2}[/tex]
h2 + 64 =289
h2 = 289-64
h2 = 225
h= 15
now the area
A = a * h
A = 20 * 15
A = 300 cm2
Answer:
[tex]\large\boxed{A=300\ cm^2}[/tex]
Step-by-step explanation:
The formula of an area of a parallelogram:
[tex]A=bh[/tex]
b - base
h - height
Use the Pythagorean theorem to calculate a height h:
[tex]h^2+8^2=17^2[/tex]
[tex]h^2+64=289[/tex] subtract 64 from both sides
[tex]h^2=225\to h=\sqrt{225}\\\\h=15\ cm[/tex]
Calculate the area:
[tex]A=(20)(15)=300[/tex]
(Q5) Decide if the function is an exponential function. If it is, state the initial value and the base. y=3.1^x
Answers
Answer:
D
Step-by-step explanation:
Exponential equation takes the form [tex]y=ab^x[/tex] where
a is the initial value ( a ≠ 0), and
b is the base ( b ≠ 1)
The equation given can be written as [tex]y=3.1^x\\y=1*3.1^x[/tex]. Thus, it is an exponential equation.
So a = 1 and b = 3.1
Thus we can say that the initial value = 1 and the base is 3.3
What is the inequality for this verbal description?
The value of y is greater than the sum of negative eight times the value of x and nine
Answers
Answer:
B
Step-by-step explanation:
We can see Part by Part to get this question.
"The value of y is greater than.." -- this part implies y >"The sum of negative 8 times x and 9" -- we need to multiply -8 and x and SUM it to 9. thus we have:-8*x + 9
Now we can finally write:
y > -8x + 9
Answer choice B is right.
John wrote 1/5 of a paper in 1/4 of an hour how long did it take him to write an entire paper?\
Answers
Answer:
[tex]1\frac{1}{4}\ hours[/tex]
Step-by-step explanation:
we know that
using proportion
[tex]\frac{(1/4)}{(1/5)}\frac{hour}{paper}=\frac{x}{1}\frac{hour}{paper} \\ \\x=5/4\ hours[/tex]
covert to mixed number
[tex]5/4\ hours=1\frac{1}{4}\ hours[/tex]
How many ways can 8 players be chosen from 10 players
Answers
Graph the following equation
[tex]f(x) = \frac{(2x+3)(x-6)}{(x+2)(x-1)}[/tex]
If you can. Also, what is the Oblique Asymptote.
Answers
Answer:
Graphic attached
Step-by-step explanation:
The oblique asymptote of the function has the shape of a line of the form
[tex]y = mx + b[/tex]
We need to find the slope m and the intercept b.
The oblique asymptote is found by these two limits:
[tex]m = \lim_{x \to \infty}\frac{f(x)}{x}\\\\b = \lim_{x \to \infty}[f(x) - mx][/tex]
If [tex]f(x) = \frac{(2x+3)(x-6)}{(x+2)(x-1)}[/tex] then:
[tex]m = \lim_{x \to \infty} \frac{\frac{(2x+3)(x-6)}{(x+2)(x-1)}}{x}\\\\m = \lim_{x \to \infty} \frac{2x^2-9x-18}{x^3 +x^2 -2x}\\\\m = 0[/tex]
The slope is 0. Therefore the function has no oblique asymptote.
Horizontal asymptote:
[tex]y = 2[/tex]
Vertical asymptote
[tex]x = -2\\x = 1[/tex]
20 PTS!!!! What is the probability that a randomly selected person is on the swim team? Express the probability as a percent rounded to the nearest tenth of a percent. Enter your answer in the box.
Answers
There are 67 total people and 28 people on the swim team.
The probability of picking someone on the swim team would be 28/67 which is equal to 41.8%
Answer:
The probability that a randomly selected person is on the swim team is 41.79%
Step-by-step explanation:
ProbabilityProbability means possibility of occurrence. It is a branch of mathematics which deals with the occurrence of particular event out of total random events.The favorable event will be 28
The total no of event will be 67
So The probability will be = [tex]\frac{no of favorable events}{Total no of event}[/tex]
= [tex]\frac{28}{67}[/tex]
= 41.79%
Thus the probability that a randomly selected person is on the swim team is 41.79% .
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The circumference of a circular rug is 24.8 meters. What is the area of the rug? Use 3.1 for pi
Answers
Answer:
49.6 square meters
Step-by-step explanation:
first, circumference is 2*pi*r, so we want to find r. so we take 2*pi*r=24.8 and solve for r which is 4.
Now, area is pi*r^2 so pi*4^2 = pi*16 = 49.6
First, let’s find the radius of the rug. The radius is equal to the circumference divided by 2pi, or 2 * 3.1, which is 6.2, in this case.
24.8/6.2
4
The radius is 4. The area of a circle is pi times the radius squared.
3.1 * 4^2
3.1 * 16
49.6
So, the area of the rug is 49.6 square meters.
What is the value of x?
Answers
Answer:
x = 35
Step-by-step explanation:
Since they are vertical angles, the angles are congruent and therefore you can set them equal to each other.
4x + 20 = 3x + 55
Have x on one side of the equation by subtracting 3x from both sides.
x + 20 = 55
Subtract 20 from both sides of the equation.
x = 35
FIND THE DEGREE MEASURE OF ANGLE DPR.
Answers
[tex]\widehat{DPR}=\frac{1}{2}(\stackrel\frown{ET}-\stackrel\frown{DR}) = \frac{1}{2} (118 - 26) = \frac{92}{2} = 46°[/tex]
A printer 8s typesetting a book and he needs pn piece of type for each digit in the page number of the book and each piece of type can be used only once for example page 3 and page 33 will require 3 piece of type how many twos will he need to number pages 1 through 232?
Answers
Answer:
Step-by-step explanation:
Compute the greatest prime factor of 9951
Answers
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷The greatest prime factor is 9951 is 107.
You divide 9951 by 3, and you get 3317.
You divide 3317 by 31 (which is a prime number), and you get 107, which is also a prime number.
✽
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TROLLER
the solution set of this inequality?
−2x+7<23
Answers
I think the answer is x > -8.
Answer:
x > - 8
Step-by-step explanation:
Given
- 2x + 7 < 23 ( subtract 7 from both sides )
- 2x < 16 ( divide both sides by - 2 )
Remembering to reverse the inequality symbol when dividing/ multipkying by a negative quantity, hence
x > - 8 ← reversed symbol
Ben missed math class because he was sick. He has 10 math problems he needs to complete for homework and submit by 4pm. Ben does not know how to solve the math problems and does not want to get a bad grade. How can Ben use his self advocacy skills to help himself?
Answers
Answer: Ben could ask his peers or a trusted adult for help, or Ben could use reliable sources to help him with any questions he might have. Ben could also try his best, if he doesn't get a good grade at least he doesn't have a missing assignment.
Step-by-step explanation:
A circle has a radius of 4/9 units and is centered at (-6.2,5.8). Write an equation of this circle
Answers
Answer:
[tex](x+6.2)^2 + (y-5.8)^2 = \frac{16}{81}[/tex]
Step-by-step explanation:
The vertex form of the equation of a circle is [tex](x-h)^2 + (y-k)^2 = r^2[/tex] where (h,k) is the center of the circle and r is the radius. This circle has center (-6.2, 5.8) and r= 4/9. Substitute h = -6.2, k = 5.8 and r = 4/9 into the vertex form. Then simplify for the equation.
[tex](x-h)^2 + (y-k)^2 = r^2\\(x--6.2)^2 + (y-5.8)^2 = \frac{4}{9}^2\\ (x+6.2)^2 + (y-5.8)^2 = \frac{16}{81}[/tex]
Mark needs 2 3/4 cups of sugar to make cookies he has 1 7/8 cups of sugar how much more sugar does mark need
Answers
so, we have the denominators of 4 and 8, thus our LCD will just be 8, but let's firstly convert the mixed fractions to improper fractions and find their difference.
[tex]\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}}~\hfill \stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{11}{4}-\cfrac{15}{8}\implies \stackrel{\textit{using LCD of 8}}{\cfrac{(2)11~~-~~(1)15}{8}}\implies \cfrac{22-15}{8}\implies \cfrac{7}{8}[/tex]
A football stadium holds 52,000 fans. A college student is doing research and determines that on any given game day, the home team has five times as many fans as the visiting team. In order to help the student in his research, he represents the number of home team tickets as H and the visiting team’s tickets as V.
Which system of equations does the college student use to determine how many tickets each team gets?
Answers
Answer:
Option d
Step-by-step explanation:
We know that 52,000 fans can fit into the stadium.
Then the amount of tickets that can be sold must equal 52,000.
If we call H the number of tickets for the home team and call V the number of tickets for the visiting team, then:
[tex]H + V = 52,000[/tex]
Then, we know that the local team has 5 times more fans than the visiting team. So we can write that:
[tex]H = 5V\\H-5V = 0[/tex]
Finally, the system of equations sought is:
[tex]H - 5V = 0\\H + V = 52 000[/tex]
Simplify the given equation. please don't solve for x! it says SIMPLIFY!
17x - 6 + 3x - 5 = x + 11 + 4x
Answers
Answer:
x= 22/15
Step-by-step explanation:
20x-11=5x+11
20x-5x=11+11
15x=22
Which pay is equivalent to 16 $ per hour A) 48 for 3 hours B)120 for 12 hours C) 60 for 5 hours D) 96 for 9 hours
Answers
Answer:
The answer is A. 48 divided by 3 equals 16. Therefore, if you earn $48 for 3 hours, then you are earning $16 per hour.
Step-by-step explanation:
Hey there!
The correct answer is A. $48 for 3 hours
I figured this out by multiplying 16 by 3 which equals 48
Hope this helps you!
God bless ❤️
xXxGolferGirlxXx
a pipe cleaner 20cm long. it is bent into a rectangle. use a quadratic model to calculate the dimensions that give the maximum area.
Answers
Answer:
5 cm by 5 cm
Step-by-step explanation:
The perimeter of this rectangle is 20 cm, and the relevant formula is
P = 20 cm = 2W + 2L. Then W + L = 10 cm, or W = (10 cm) - L.
The area of the rectangle is A = L·W, and is to be maximized. Subbing (10 cm) - L for W, we get A = L[ (10 cm) - L ], or A = 10L - L²
Note that this is the equation of a parabola that opens down. With coefficients a = -1, b = 10 and C = 0, we find that the x-coordinate of the vertex (which is the x-coordinate of the maximum as well) is
x = -b / (2a). Subbing 10 for b and -1 for a, we get:
x = -[10] / [2·(-1)] = 10/2, or 5.
This tells us that one dimension of the rectangle is 5 cm.
Since P = 20 cm = 2L + 2W, and if we let L = 5 cm, we get:
20 cm = 2(5 cm) + 2W, or
10 cm = W + 5 cm, or W = 5 cm.
Thus, choosing L = 5 cm and W = 5 cm results in a square, which in turn leads to the rectangle having the maximum possible area.
The dimensions that give the maximum area is 5 cm by 5 cm.
Given:
The perimeter of this rectangle is 20 cm, and formula for perimeter is
P= 2(W+L)
P = 20 cm = 2W + 2L.
Then W + L = 10 cm,
or W = (10 cm) - L.
The area of the rectangle is A = L·W, and is to be maximized.
On substituting the values, we get A = L[ (10 cm) - L ], or A = 10L - L²
Note that this is the equation of a parabola that opens down. With coefficients a = -1, b = 10 and C = 0, we find that the x-coordinate of the vertex (which is the x-coordinate of the maximum as well) is
x = -b / (2a). Subbing 10 for b and -1 for a, we get:
x = -[10] / [2·(-1)] = 10/2, or 5.
This tells us that one dimension of the rectangle is 5 cm.
Since P = 20 cm = 2L + 2W, and if we let L = 5 cm, we get:
20 cm = 2(5 cm) + 2W, or
10 cm = W + 5 cm, or W = 5 cm.
Therefore, choosing L = 5 cm and W = 5 cm results in a square, which in turn leads to the rectangle having the maximum possible area.
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