Answer:
-7/2
Step-by-step explanation:
To find the y coordinate of the midpoint and the y coordinates together and divide by 2
(2+-9)/2
-7/2
Answer:
2 goes in green box
Step-by-step explanation:
(9,2) (-7,-9)
(x1, y1) (x2,y2)
Midpoint is (x1+x2)/2 , (y1+y2)/2
(9-7)/2= 1
(2-9)/2 = -7/2
HELP PLEASEEEEEEEEEEE
Answer:
Which one is at the bottom? if the one at the bottom is 0 then the answer is 0. If its not then its related to pemdas or something else
Step-by-step explanation:
Answer:
? = 4
4 is the answer
Step-by-step explanation:
heart = 21
rainbow = 7
unicorn horn = 9
so, we have
heart + rainbow + rainbow = 35
21 + 7 + 7 = 35
heart + unicorn horn + rainbow = 37
21 + 9 + 7 = 37
rainbow + unicorn horn + unicorn horn =25
7 + 9 + 9 = 25
unicorn horn + unicorn horn + rainbow - heart = ?
9 + 9 + 7 - 21 = 4
please help ILL GIVE BRAINLIEST
Answer:
h = 5
Step-by-step explanation:
30 POINTS FOR THE BRAINLIEST!!!!!
Find the exact value of x and y. (Do not round - no decimals)
Answer x = ____ units
Answer y = ____ units
Explain how you found side length measure below. Be sure to show all of your work.
WILL MARK BRAINLIEST
what type of transformation is described by (x,y) —> (x+2, y+16)?
This transformation takes a vector (x,y) and maps it to the vector (x+2, y+16). In other words, it moves the X coordinate of the vector 2 units to the right, and the Y coordinate of the vector is moved 16 units upwards.
If you would take a set of points and apply this transformation, you would see the entire set moving upwards and to the right, with no stretching ou rotating. This type of transformation is called a translation transformation.
classify the equation 9(a-4)+3(2a+5)=7(3a-4)-6a+7
Answer:
0 = 0 thats my answer
Step-by-step explanation:
100 students are interviewed to see which of biology, chemistry or physics they prefer. 55 of the students are girls. 25 of the girls like biology best. 27 of the boys prefer physics. 23 out of the 29 who prefer chemistry are girls. What percentage of the students prefer biology?
Using percentages we know that 62% or 62 students out of 100 students prefer biology.
What are percentages?In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage.
When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.
Thus, the proportion refers to a component per 100.
The word percent denotes a percentage of 100. It is represented by the symbol "%."
So, according to the given situation:
34 females enjoy biology
Do boys enjoy biology?
It is 34%≤
Then,
27% favor chemistry
10% favor physics.
The calculation would be:
27 + 11 = 38
100 - 38 = 62
Therefore, using percentages we know that 62% or 62 students out of 100 students prefer biology.
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Correct question:
100 students are interviewed to see which of biology, chemistry or physics they prefer.72 of the students are girls. 34 of the girls like biology best. 11 of the boys prefer physics. 24 out of the 27 who prefer chemistry are girls. What percentage of the students prefer biology?
Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuade his customers that he is right, the baker decides to do a hypothesis test. He bakes 10 loaves of bread. The mean height of the sample loaves is 17 cm with a sample standard deviation of 1.9 cm. The heights of all bread loaves are assumed to be normally distributed. The baker is now interested in obtaining a 95% confidence interval for the true mean height of his loaves. What is the lower bound to this confidence interval? 2 cm (round to 2 decimal places) What is the upper bound to this confidence interval? cm (round to 2 decimal places) For the following situations, use RStudio to find the appropriate t-critical values that would be needed to construct a confidence interval. Round all critical values to the second decimal place. 1. n = 15, confidence level is 95%, x= 35 and s = 2.7, t-critical value- 2, n = 37, confidence level is 99%, x= 82 and s = 5.9 t-critical value- 2 3, n 1009, confidence level is 90%, x 0.9 and s-0.04 t- critical value = 2 2
The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm
To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.
The formula for a confidence interval for the population mean (μ) is:
Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))
For the first situation:
n = 15
Confidence level is 95% (which corresponds to an alpha level of 0.05)
x = 35 (sample mean)
s = 2.7 (sample standard deviation)
Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.
The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.
Plugging the values into the formula:
Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))
Calculating the confidence interval:
Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)
Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.
For the second situation:
n = 37
Confidence level is 99% (which corresponds to an alpha level of 0.01)
x = 82 (sample mean)
s = 5.9 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.
The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.
Plugging the values into the formula:
Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))
Calculating the confidence interval:
Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)
Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.
For the third situation:
n = 1009
Confidence level is 90% (which corresponds to an alpha level of 0.10)
x = 0.9 (sample mean)
s = 0.04 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.
The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.
Plugging the values into the formula:
Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))
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5. A map is drawn to a scale of 1: 20 000. (a) The perimeter of a lake is 2.5 km. Find, in cm, the perimeter of the lake on the map. (b) The area of the lake on the map is 12.5 cm². Find, in km², the actual area of the lake.
Step-by-step explanation:
2.5 km = 250000 cm
250000 cm /20000 = 12.5 cm on the map
12.5 cm ^2 x 20 0000 x 20 000 = 5 000 000 000 cm^2 = 500 000 m^2
f(n)=−48⋅(-¼)^n. Complete the recursive formula of f(n)
f(1)=
f(n)=f(n-1)⋅
The function f(n)=−48⋅(-¼)^n is a geometric sequence
The recursive definition of f(n) is f(1) = 12; f(n) = f(n - 1) . -¼
How to determine the recursive formula of f(n)The function is given as:
f(n)=−48⋅(-¼)^n
Calculate f(1)
f(1)=−48⋅(-¼)^1
This gives
f(1) = 12
Calculate f(2)
f(2)=−48⋅(-¼)^2
This gives
f(2) = -3
Calculate the common ratio (r)
r = f(2)/f(1)
So, we have:
f = -3/12
Simplify
r = -1/4
Recall that: r = f(2)/f(1)
This gives
-1/4 = f(2)/f(1)
Make f(2) the subject
f(2) = -1/4* f(1)
Express 1 as 2 - 1
f(2) = -1/4* f(2 - 1)
Substitute 2 for n
f(n) = -1/4* f(n - 1)
Rewrite as:
f(n) = f(n - 1) . -¼
Hence, the recursive definition of f(n) is f(1) = 12; f(n) = f(n - 1) . -¼
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Point K is located at ( 1 , 2 ) on the following coordinate plane. A square that has a perimeter of 20 units will be drawn so that K is one vertex of the square. Which three ordered pairs could represent the location of another vertex of the square? Select the three correct answers.
Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).
To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.
One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.
Using the distance formula, we get:
\(\sqrt{(x-1)^{2} +(y-1)^{2} }\) = 5
Simplifying and squaring both sides, we get:
(x-1)^2 + (y-2)^2 = 25
Expanding the left side and simplifying, we get:
\(x^{2}\) - 2x + \(y^{2}\) - 4y + 20 = 0
Completing the square for x and y, we get:
\((x-1)^{2}\) + \((y-1)^{2}\) = \(6^{2}\)
This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.
Using this method, we can find several possible locations of the other vertices of the square. Three of them are:
(7, 2), (-5, 2), (1, 8)
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2. Caveman Sampson chases a saber tooth tiger at an average speed of 3 miles per hour. The tiger runs at an average speed of 5 miles per hour, but rests for 2 hours after running for 2 hours. How long, in hours, will it take Sampson to catch the tiger if the tiger starts 2 miles in front of him and they start running at the same time?
A. 7 hours B. 6 hours C. 5 hours D. 4 hours
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Answer:
D. 4 hours
Step-by-step explanation:
The tiger will run (5 mi/h)(2 h) = 10 mi in 2 hours. That will put it 2+10 = 12 miles from Sampson's starting location.
Samson can run 12 miles in time ...
time = distance/speed = (12 mi)/(3 mi/h) = 4 h
Sampson will get to the tiger's location after 4 hours, just as the tiger is ending its rest period.
__
The graph shows the position of Sampson (red) and the tiger (blue) x hours after the chase starts. The distance (y miles) is measured from Sampson's starting point, assuming the tiger is running away.
What are the equivalent ratios of 14:6
A : 126:54
B: 91:33
C: .77:30
D: 49:21
E: 7:3
Answer:
E, and A
Step-by-step explanation:
If you divide 14/6 with 2's you get 7/3 and if you multiply 14/6 with 9 you get 126/54
Which expression is equivalent to (4.3x + 4)(−1.8x)?
A. −4.14x2 + 0.08x
B. −7.74x2 − 7.2
C. −7.74x2 − 7.2x
D. −7.74x2 + 7.2x
The expression that is equivalent to (4.3x + 4)(−1.8x) is -7.74x² -7.2x (optionC)
What is equivalent of expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value.
For example, 2a+6 is equivalent to 2(a+3) and will surely have thesame value when a value is substituted for a.
Similar (4.3x + 4)(−1.8x) can be simplified by multiplying -1.8x with both 4.3x and 4
= -7.74x²-7.2x
therefore the equivalent of (4.3x + 4)(−1.8x) is -7.74x²-7.2x.
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how do you find out the surface area of a cuboid
Answer:
SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
PLEASE TELL ME WHAT TO WRITE HERE :’))
Answer: (Answer in explanation)
Step-by-step explanation:
(12)B > 180
Her goal is to make more than 180 so if she wants to sell each book for $12 then so if she sells 14 books or above she would get more than $180.
So B could equal anything 16 and above but in my case I chose 24
(12)24 = 288 > 180
So write a equation like mine that equals a number that's greater than 180. Keep in mind each book sells for $12 each. Then solve for B which is how many books she has to sell to get the number greater than 180.
Simplify The Equation
–9(–8p + 12) – 6p
Answer:
9/8
Step-by-step explanation:
3(2x+1)=7x-2 find the value of x
Answer:
5
Step-by-step explanation:
3(2x+1)=7x-2
6x + 3 = 7x - 2
6x - 7x = -2 - 3
-x = -5 /(-1)
x = 5
Answer:
5
Step-by-step explanation:
3 ( 2x + 1 ) = 7x - 2
Step 1 : Remove the parentheses
6x + 3 = 7x - 2
Step 2 : Move the variable to the left-hand side and move extra number the right-hand side
6x + 3 = 7x - 2
-7x -3 -7x -3
6x - 7x = -2 - 3
Step 3 : Combine like terms
-x = -5
Step 4 : Change the sign to make x positive
x = 5
SOLUTION : x = 5
Hope this helps :)
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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What ratio is equivalent to 8/6
Answer:
3rd option: 32/24
Step-by-step explanation:
8/6 = 4/3
1st option: Now let's change the denominator to 24:
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
2nd option: Now let's change the numerator to 24:
4/3 ==> 24/?
4/3 =
4*6 / 3*6 = 24/18, not 24/32
24/32 = 3/4, not 4/3 ==> don't get confused by this
3rd option: 32/24 is correct [Look at the explanation for 1st option]
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
Hence, the 3rd option is correct.
y = 4cos pi * x + 3
It’s asking me for the function’s transformations I already have vertical stretch and and horizontal shrink there is one last one and the options are:
Translation right 3
-
Translation down 3
-
Translation up 3
-
Translation left 3
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Answer:
Translation up 3
Step-by-step explanation:
Adding 3 to the function value translates its graph up 3 units.
playstation or xbox be smart
Xbox and PlayStation both have their own good features but Xbox wins overall against PlayStation in specs, games, graphics, streaming, remote play, UI and basically everything.
I have played both btw
Any arguments in the comment section
Answer:
Depends
Step-by-step explanation:
If you want better exclusives get a playstation.
UI the playstation UI is better because it is simple.
Game subscriptions. xbox game pass subscription is better because it has more games and most games get released on game pass as soon as they release.
i really need help, can someone please help me with this math question
The functions for this problem are defined as follows:
(t + s)(x) = x³ + 5x².(ts)(x) = \(5x^5\)(t - s)(-2) = -28.How to obtain the functions?The functions for this problem are given as follows:
s(x) = 5x².t(x) = x³.The addition and subtraction functions for this problem are given as follows:
(t + s)(x) = x³ + 5x².(t - s)(x) = x³ - 5x².At x = -2, the numeric value of the subtraction function is given as follows:
(t - s)(-2) = -2³ - 5(-2)²
(t - s)(-2) = -28.
The product function for this problem is given as follows:
(ts)(x) = \(5x^5\)
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Can someone help me please i need help with this problem
Write an equation for a rational function with:
Vertical asymptotes at x = -2 and x = 6
x-intercepts at x = 5 and x = -1
y-intercept at 4
y =
Answer: (-2, 4)
Step-by-step explanation:
Runner A finished a 200-meter race in 5 12 of a minute. The Runner B ran it in 21 25 of Runner A’s time to win the race. How much time did it take Runner B to finish the race? Explain how your arrived at your answer.
The amount of time it took Runner B to finish the race is 21 seconds.
Given the following data:
Distance = 200-meterTo determine the amount of time it took Runner B to finish the race:
How to calculate timeFirst of all, we would calculate the time it took Runner A to finish the race:
Note: A minute is equal to 60 seconds.
For the time taken by Runner A, we have:
Time A = \(\frac{5}{12} \times 60=25\;seconds\)
Time A = 25 seconds.
For the time taken by Runner B, we have:
We know that it took Runner B \(\frac{21}{25} \) of the time taken by Runner A to the finish the race, so we would multiply Runner A’s time by this value.
\(Time \;B=\frac{21}{25} \times 25\)
Time B = 21 seconds.
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3.3 Practice - Piecewise Functions
Find the value of the given function at the indicated domain value.
-X2 - 5x + 2, x < 1
2x2 - 2x + 1,
xs-6
g(x) = x3 - 5x, 1 < x < 11
h) =
3x – x3 -3
3x - 16,
X > 11
(2x - (x - 100
x > 1
1. g(1) =
2. g(11) =
3. h(5) =
4 h(-10) =
5. g(-1) =
6. h(0) =
7. g(20) =
8. h(-4)=
Answer:
Step-by-step explanation:
1. g(1) = (1)³ - 5(1) = - 4
2. At x = 11 function g(x) is not defined,
3. h(5) = 2(5) - | 5 - 10 | = 5
4 h( - 10) = 2( - 10)² - 2(- 10) + 1 = 221
5. g(- 1) = - (- 1)² - 5(- 1) + 2 = - 1 + 5 + 2 = 6
6. h(0) = 3(0) - (0)³ = 0
7. g(20) = - √[3(20) - 16] = - 2√11
8. h(- 4) = not defined
The value of each function is shown below.
What is Function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
From the given function we can find the values as:
g(1) = x³ - 5x
g(1) = 1³ -5 = -4
2. For x= 11 the function g(x) is not defined.
3. h(5) = 2x - |x -10|
h(5) = 4
4. h(-10) = 2x² - 2x + 1
h(-10) = 221
5. g(-1) = -x² -5x + 2
g(-1) = 6
6. h(0) = 3(0) - (0)³
h(0) = 0
7. g(20) = - √[3(20) - 16]
g(20) = - 2√11
8. h(- 4) is not defined for the function h(x).
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A cone has a volume of 2560 Pi cm cubed and a height of 30cm. Find the radius
What is the least common multiple of the numbers 5, 25, and 15?
ОА.
25
B.
50
OC.
75
D.
100
E.
125
Answer:
C. 75
Step-by-step explanation:
Factorize the numbers first
5=5×1
25=5×5
15=5×3
LCM of 5,25,15 will be 5×5×3=25×3=75
PLEASE HELP ASAP!!!!
What is the square of 22?
A.44
B.444
C.844
D.484
Hannah took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.90 plus $3.75 per mile. The total fare was $80.65, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.
Answer: y=3.75x+1.9
Step-by-step explanation: the pick up fee would be the y-intercept and the per mile cost would be the slope.
The equation that can be used to determine the number of miles in the taxi ride is 1.90 + 3.75x = 80.65.
The number of miles traveled is 21 miles.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Pick up fee charges = $1.90
Charges per mile = $3.75
Total fare = $80.65
The number of miles traveled = x
We can write an equation as:
1.90 + 3.75x = 80.65
The number of miles traveled:
1.90 + 3.75x = 80.65
Subtract 1.90 on both sides.
1.90 + 3.75x - 1.90 = 80.65 - 1.90
3.75x = 78.75
Divide both sides by 3.75.
x = 21.
Thus,
The equation that can be used to determine the number of miles in the taxi ride is 1.90 + 3.75x = 80.65.
The number of miles traveled is 21 miles.
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Helps please quick geometry
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Answer:
5) 76°
7) 34°
Step-by-step explanation:
5) An angle bisector creates two congruent angles, so ...
∠WUV = 2(∠1)
9x +4 = 2(5x -2)
9x +4 = 10x -4
8 = x
Then ...
∠WUV = 9(8) +4 = 76
The measure of angle WUV is 76°.
__
7) An angle bisector creates two congruent angles, so ...
∠1 = ∠2
2x -3 = x +7
x = 10 . . . . . . . . add 3-x
Then ...
∠XVW = 2(∠2) = 2(10 +7) = 34
The measure of angle XVW is 34°.