=========================================================
Explanation:
A = (4,5) is one endpoint
B = (-1, 4) is the midpoint
C = (x,y) is the other endpoint
For now, focus on the x coordinates of each point
A and C have x coordinates of 4 and x respectively
Add them up and divide in half. Set this equal to the x coordinate of B
(4+x)/2 = -1
4+x = 2*(-1)
4+x = -2
x = -2-4
x = -6 which is the x coordinate of point C
Repeat this same idea for the y coordinates
(5+y)/2 = 4
5+y = 2*4
5+y = 8
y = 8-5
y = 3 which is the y coordinate of point C
Therefore, point C is located at (-6, 3)
--------------------------
To verify the answer, you can use the distance formula to calculate the following segment lengths: AB and BC
You should find that AB = BC. This is because the midpoint splits segment AC into two smaller equal pieces.
Another way to verify the answer is to use the midpoint formula on points A(4,5) and C(-6,3). The result of using this formula should be B(-1,4) mentioned earlier.
Find the value of the expression below, given that n = 2
( 3 + n to the 4th power ) - 112
Answer:
the answer is 513
Step-by-step explanation:
because(3+2)⁴-112=
625-112=513
On the first day it was posted online, a music video got 1850 views. The number of
views that the video got each day increased by 20% per day. How many total views
did the video get over the course of the first 5 days, to the nearest whole number?
Answer:
You can use a function to solve this.
Since we are talking about percents, this will be an exponential function.
The general form of exponential function is where a is the y intercept and b is the rate of change.
For this question, we have a percentage thingamajig here. The first thing we need to do is convert the percentage to a decimal. So if it is a 16% increase, we will convert that to 1.16. 1.16 will be the variable b
The video got 250 views on the first day. So that means the variable a will equal 250.
The final function will be:
To finally solve this, we need to replace f(x) with f(12) and the other x in the formula with 12 as well. This is because the question is asking for the number of views in 12 days.
So after solving the function, we get 1484.0067... but since we can't have a fraction of a view, we will round that down to 1484 views.Step-by-step explanation:
The total number of views after 5 days is 3836.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, on the first day it was posted online, a music video got 1850 views.
The number of views that the video got each day increased by 20% per day.
Sn = a(1 – r)ⁿ/(1 – r)
S₅= 1850(1+0.2)⁵/(1+0.2)
= (1850×1.2⁵)/1.2
= 4603.392/1.2
= 3836.16
≈ 3836
Therefore, the total number of views after 5 days is 3836.
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researchers observed 50 random people brush their teeth and recorded the number of seconds each person spent brushing. from the sample, they found a mean time of 41.5 seconds. further, their calculations revealed that this estimate is within a margin of error of 2.45 from the true average time that all people spend brushing their teeth. write the interval estimate that will estimate the true average time that people spend brushing their teeth. write your answer using inequality notation:
Answer:
The interval estimate is:
41.5 - 2.45 ≤ true average time ≤ 41.5 + 2.45
or
38.05 ≤ true average time ≤ 44.95
Inequality notation:
[38.05, 44.95]
The interval estimate that will estimate the true average time that people spend brushing their teeth is [39.05, 43.95] seconds.
Given that the mean time spent brushing teeth from the sample is 41.5 seconds, and the margin of error is 2.45 seconds, we can construct a confidence interval estimate using the formula:
(sample mean) ± (margin of error)
Substituting the given values, we get:
41.5 ± 2.45
Simplifying, we get:
[39.05, 43.95]
Therefore, we can be 95% confident that the true average time that all people spend brushing their teeth falls within this interval.
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what is the slope of this line?? someone please help
Answer:
-2.5
Step-by-step explanation:
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9
Inga could use the first, third and the fourth equation for solving the given quadratic equation.
What is a quadratic equation?
A quadratic equation is any algebraic equation that may be written in standard form as where x denotes an unknown number and where a, b, and c denote known values, where a = 0.
1. 2 (\(x^{2}\) + 6x + 9) = 3 + 18
This can be simplified by using the multiplication and the addition operation on both the sides.
2. x + 3 = ± \(\sqrt{\frac{21}{2} }\)
This can be solved using the quadratic formula and obtaining the values for x.
3. 2 (\(x^{2}\) + 6x) = 3
This again can be simplified by using the multiplication and the addition operation on both the sides.
Hence, Inga could use the first, third and the fourth equation for solving the given quadratic equation.
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The complete question has been attached below.
∠3 is a supplement of ∠4, and m∠3 = 119*. Find m∠4
Answer:
∠4 = 61
Step-by-step explanation:
hope this helps
What is the x-intercept of the equation: 3x+6y=42
Answer:
( 14 , 0 )
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3*x+6*y-(42)= Pull out like factors :
3x + 6y - 42 = 3 • (x + 2y - 14)
Equations which are never true: Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
please help me with this
at what rate (in ft/s) is his distance from second base decreasing when he is halfway to first base? (round your answer to one decimal place.)
When he is halfway to the first base, the distance between the second base and the distance is decreasing at the rate of about 10.73 ft/s.
The length of the side of the base is 90 ft. Its speed is 24 ft/s.
Let x = distance he has run at time t and
D = distance from second base at time t, then speed dx/dt = 24 and we calculate dD/dt where x = 45.
From Pythagorean Theorem,
\(D^{2} =(90-x)^{2} +90^{2}\) ,
differentiating with respect to t
2D*dD/dt = 2 (90 − x) (−1) dx/dt + 0
D*dD/dt = − (90 − x)dx/dt
Now, when x = 45,
D =\(\sqrt{(90-45)^{2}+90^{2} }\)
\(=\sqrt{45^{2}+90^{2} }\)
by substituting D we get,
\(\sqrt{45^{2}+90^{2} }\)dD/dt = − (90 − 45) · 24
dD/dt = −45 · 24/\(\sqrt{45^{2}+90^{2} }\)
= −10.73 ft/s
Hence, when he is halfway to the first base, the distance between the second base and the distance is decreasing at the rate of about 10.73 ft/s.
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The answer choice’s at
A.x
B.y
C.k
D.s
Answer both plzzz ASAP
Answer:
I think the answer is 2 because the top of black is 3 units but then the top of blue is 6 units. and 3×2=6. im mot completely sure tho
can someone help me solve this?
The answer is B: 1/16
Don’t mind the other work. What are the independent and dependent variables of number 6?
Answer:pour some milk on it so you dont gotta do it
Step-by-step explanation:
Ur teacher will kick you out of the class and try drying the paper but ends up throwing it away
Determine the solution that exists to the equation below.
8(j-4)=2(4j-16)
Answer:
infinite solutions
Step-by-step explanation:
8(j-4)=2(4j-16)
Distribute
8j - 32 = 8j - 32
Subtract 8j from each side
8j-8j -32 = 8j-8j -32
-32 = -32
This is always true so there are infinite solutions
Answer:
All Real Numbers Are Solutions
Explanation:
8(j − 4) = 2(4j − 16)
[ Simplify both sides of the equation ]
8(j − 4) = 2(4j − 16)
(8)(j) + (8)(−4) = (2)(4j) + (2)(−16) (Distribute)
8j + −32 = 8j + −32
8j − 32 = 8j − 32
[ Subtract 8j from both sides ]
8j − 32 − 8j = 8j − 32 − 8j
−32 = −32
[ Add 32 to both sides ]
−32 + 32 = −32 + 32
0 = 0
Therefore, all real numbers are solutions.
is f(x)=–3?
–7
–4
4
5
Answer:
4 is the answer...........
_4 is the best answer of this question
PLS HELP
WHAT IS THE WIDTH AND THE LENGTH?!
Answer:
The width is 8.27 inches and the length is 11.69 inches
Step-by-step explanation:
210/25.4=8.27
297/25.4=11.69
____________ is a particular combination of levels of the factors involved in a study. Choose one
A treatment
The sampling design
The factor level
An analysis of variance
A treatment is a particular combination of levels of the factors involved in a study.
In experimental design and research, a treatment refers to a specific combination of levels of the factors being studied. Factors are the variables or conditions that researchers manipulate or observe in order to analyze their effects on the outcome of interest. Each factor can have different levels or values, and a treatment represents a specific combination of these levels.
For example, consider a study examining the effects of fertilizer type (factor) on plant growth. The factor "fertilizer type" may have two levels: organic and synthetic. A treatment would then be a specific combination of these levels, such as "organic fertilizer" or "synthetic fertilizer." Researchers would assign different treatments to different groups or plots to compare their effects on plant growth.
By systematically varying the treatments, researchers can assess the impact of different factor levels on the outcome variable and draw conclusions about their relationships. The concept of treatments is essential for conducting experiments and allows researchers to understand the effects of specific combinations of factors in a controlled and structured manner.
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If you use a 0.02 level of significance in a (two-tail) hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean is 950 if you use the Z test? Which of the following decision rules is correct?
A. Reject H0 if -2.05 < Zstat +2.05.
B. Reject H0 if Zstat < -2.05 or Zstat > + 2.05.
C. Reject H0 if Zstat< -2.33 or Zstat > +2.33.
D. Reject H0 if -2.33 < Zstat < +2.33.
The correct decision rule for a test hypothesis with a significance level of 0.02, with two tails, is given as follows:
C. Reject H0 if Zstat< -2.33 or Zstat > +2.33.
What is the relation between the p-value and the conclusion of the test hypothesis?The decision regarding the null hypothesis depends on if the p-value is less or more than the significance level:
If it is more, the null hypothesis is not rejected, meaning that the result obtained on the research study is not statistically significant.If it is less, it is rejected, meaning that the result obtained on the research study is statistically significant.For a two-tailed test with a significance level of 0.02, the critical value is given as follows:
z = 2.33.
Hence the decision rule is given as follows:
|z| < 2.33 -> p-value < 0.02 -> do not reject H0.|z| > 2.33 -> p-value > 0.02 -> reject H0.Hence option C is the correct option for this problem.
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a rectangle is 14 cm long and 10 cm wide. if the length is reduced by x cms and its width is increased also by x cms so as to make it a square then its area changes by
the change in the area of the rectangle is given by the expression -6x - x^2 cm².
The original area of the rectangle is given by the product of its length and width, which is 14 cm * 10 cm = 140 cm². After modifying the rectangle into a square, the length and width will both be reduced by x cm. Thus, the new dimensions of the square will be (14 - x) cm by (10 + x) cm.
The area of the square is equal to the side length squared, so the new area can be expressed as (14 - x) cm * (10 + x) cm = (140 + 4x - 10x - x^2) cm² = (140 - 6x - x^2) cm².
To determine the change in area, we subtract the original area from the new area: (140 - 6x - x^2) cm² - 140 cm² = -6x - x^2 cm².
Therefore, the change in the area of the rectangle is given by the expression -6x - x^2 cm².
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ignore the 7. Appreciate if its done quickly. No need to graph. Just solve inequality
Answer:
\(x \leq -1\)
Step-by-step explanation:
divide both sides by -4
-2 >= x - 1
(FLIP THE INEQUALITY!!!)
now add 1 to both sides
-1 >= x
flip the equation
x <= -1
that is your answer
a college basketball player makes 70% of his free throws. at the end of a game, his team is losing by two points. he is fouled attempting a three-point shot and is awarded three free throws. assuming each free throw is independent, what is the probability that he makes at least two of the free throws?
As a college basketball player makes 70% of his free throws, there is a 0.833 chance that he will convert at least two of them.
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, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Here,
free throws made by a college basketball player=70%
=70/100
the probability that he makes at least two of the free throws,
=(70/100)²+(70/100)³
=0.833
The probability that he makes at least two of the free throws will be 0.833 as free throws made by a college basketball player in 70%.
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Answer:
As a college basketball player makes 70% of his free throws, there is a 0.833 chance that he will convert at least two of them.
Step-by-step explanation:
Use the drawing tools to form the correct answer on the graph.Plot function g on the graph.[6,-7
Kindly, check below
1) As we can see, this is a piecewise function. So, let's plot that accordingly to each interval.
2) So, we can represent that this way:
Note that the open dot does not include the endpoint. And closed dots include the endpoints.
Thus, this is the answer.
It’s a math question about pumpkins look at image
Answer:
A :)
Step-by-step explanation:
in the question it says "the price (y) in dollars" and before says "the weight (x) in ounces
Answer:
A
Step-by-step explanation:
I think
A question on my test:
Solve each equation over the interval [0°, 360°). If a decimal approximation is necessary, round to four decimal places. cos 2x -cos x-2 = 0
Answer:
180degrees
Step-by-step explanation:
Given the expression cos^2x - cos x - 2 = 0
Let P = cos x
P^2 - P - 2 = 0
Factorize
P^2 - 2P + P - 2 =0
P(P-2)+1(P-2) = 0
P-2 = 0 and P + 1 = 0
P = 2 and P = -1
Since P = cos x
cos x = -1
x = arccos(-1)
x = 180degrees
Hence the require angle is 180degrees
Find the value of x. Geometry
╭⋟───────────────
\(\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}\)
Given,
< BAG = 2x°
< BAC = 90° [ < EAF = 90° (vertically opposite angles are equal to each other)]
< CAD = x°
____________________
Value of x = ?
____________________
From the figure we can see that,
< BAG + < BAC + < CAD = 180° (supplementary angles)
____________________
So to solve,
\( < BAG + < BAC + < CAD = 180 \\ 2x + 90 + x = 180 \\ 2x + x + 90 = 180 \\ 3x + 90 = 180 \\ 3x = 180 - 90 \\ 3x = 90 \\ x = \frac{90}{3} \\ x = 30\)
⏩ The value of x is \(\boxed{30}\)
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
\(RainbowSalt2^{2}2^{2}\) ღ
───────────────⋞╯
Sandy and Tom went for a run. Sandy started running 12 seconds before Tom. Sandy runs 7 meter per second. Tom runs 9 meters per second. How long did it take for both Sandy and Tom to cover the same distance?
It took both Sandy and Tom 54 seconds to cover the same distance.
To solve this problemWe can set up an equation based on their relative speed
Take the supposition that Tom needs "t" seconds to travel the distance. Sandy started jogging 12 seconds before Tom, so it will take her "t + 12" seconds longer to complete the same distance.
To determine the distance traveled by Sandy, multiply her speed (7 meters per second) by her time (t + 12) seconds. Tom's distance traveled may be determined by dividing his speed (9 meters per second) by his time (t) seconds.
Equating the distances covered by Sandy and Tom:
7(t + 12) = 9t
Expanding the equation:
7t + 84 = 9t
Subtracting 7t from both sides:
84 = 2t
Dividing both sides by 2:
t = 42
Tom traveled the distance in 42 seconds as a result. We add the 12-second lead Sandy had to determine the time it took for both Sandy and Tom to travel the same distance:
t + 12 = 42 + 12 = 54
So, it took both Sandy and Tom 54 seconds to cover the same distance.
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one year there were 581 thousand power boats registered and 38 manatee deaths due to power boats. what is the residual for this year?
The residual for this year, cannot be accurately determined without additional data. Residual refers to the difference between observed and predicted values in a statistical model, and in this case, no prediction or expected value is provided to calculate the residual.
However, it is worth noting that monitoring and conservation efforts play a crucial role in minimizing manatee deaths caused by power boats. In order to calculate the residual, we need both the observed and predicted values. However, in the given information, only the observed values are provided—581 thousand power boat registrations and 38 manatee deaths. Without a predicted value or expected number of manatee deaths, we cannot calculate the residual. The concept of a residual is commonly used in statistical modeling to assess the accuracy of a prediction or estimate. It represents the difference between the observed value and the predicted value based on a statistical model. In this case, without any prediction or expected value, we lack the necessary information to calculate the residual. Nonetheless, it is important to address the issue of manatee deaths caused by power boats. These deaths can have a significant impact on manatee populations and their conservation. Conservation efforts, such as speed limits, designated manatee protection zones, and public awareness campaigns, are implemented to reduce the risks to manatees from power boat collisions. Monitoring the number of manatee deaths and implementing measures to mitigate these risks are crucial steps in protecting these gentle creatures and ensuring their long-term survival.
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Tammy sells beaded necklaces. Each large necklace sells for $5.20 and each small necklace sells for $4.90 . How much will she earn from selling 1 large necklace and small 7 necklaces?
Answer: $39.50
Step-by-step explanation:)
Can I have help on this one
Answer:
4. 40°
5. 15
6.
I hope this helps. I don't know the last one.
10 points!!!!! Do 14 and 15 only hurry please.
Answer:
8. x = 16
9. x = 10
14.
m ∠RSU = 130°
m ∠UST = 50°
15.
m ∠RSU = 124°
m ∠UST = 56°
Step-by-step explanation:
8.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is , (x + 15)° = 31°
x = 31 - 15 = 16
9.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is ,
(6x - 4)° = 56°
6x = 56 + 4
6x = 60
x = 10
14.
13x + 5x = 180° [straight line angles ]
18x = 180
x = 10
m ∠RSU = 130°
m ∠UST = 50°
15.
4x + 12 + 2x = 180° [ straight line angles]
6x = 180 - 12
6x = 168
x = 28
m ∠RSU = 4(28) + 12 = 112 + 12 = 124°
m ∠UST = 2(28) = 56°
Answer:
14. 13x+5x
=18x
180(angles on a st. line)= 18x
180/18
=10
RSU=13*10=130
UST=5*10=50
How to do dis?????????
Answer:
-1
Step-by-step explanation:
f(x) =3x-7
x=2
f(x)=3×2-7
f(x)=6-7
f(x)=-1