Solving a system of equations we can see that the two numbers are:
x = 0.35
y = -14.35
How to find the two numbers?Let's say that the two numbers are x and y.
We know that the numbers multiply to -5 and add to -14, then we can write a system of equations:
x*y = -5
x + y = -14
To solve the system of equations we can isolate x on the second equation to get:
x = -14 - y
Replace that in the other equation to get:
(-14 - y)*y = -5
-14y - y² + 5 = 0
So we have a quadratic, using the quadratic formula we will get:
\(y = \frac{14 \pm \sqrt{(-14)^2 - 4*5*-1} }{2*-1} \\\\y = \frac{14 \pm 14.7}{-2}\)
Then the two numbers are:
y = (14 + 14.7)/-2 = -14.35
x = (14 - 14.7)/-2 = 0.35
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make v the subject of the formula in H=m(v²-u²)/2gx
Answer:
\(v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}\)
Step-by-step explanation:
The given formula is :
\(H=\dfrac{m(v^2-u^2)}{2gx}\)
We need to find the formula for v.
Cross multiplying the given formula.
\(H\times 2gx=m(v^2-u^2)\)
Dividing both sides by m. So,
\(\dfrac{H\times 2gx}{m}=\dfrac{m(v^2-u^2)}{m}\\\\(v^2-u^2)=\dfrac{H\times 2gx}{m}\)
Adding both sides by u².
\((v^2-u^2)+u^2=\dfrac{H\times 2gx}{m}+u^2\\\\v^2=\dfrac{H\times 2gx}{m}+u^2\\\\\text{So},\\\\v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}\)
Hence, this is the required formula.
Final question no more lives
who ever gives me correct answer will get brainliest
The time take to fill the pool will be 494 hours.
How to calculate the TimeInlet pipe fills in 38 hours = 1 pool
Inlet pipe fills in 1 hours = 1/38
Drain pipe empty in 39 hours = 1 pool
Drain pipe empty in 1 hour = 1/39
If both pipes are opened together then in pool fills in 1 hour = 1/38 - 1/39
= 1/1482
Therefore, 1/1482 fills in 1 hour.
. Therefore, 1/3 will be:
= 1/3 × 1482
= 494 hours.
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PLEASE HELP WORTH 25 POINTS
Model with Mathematics The outline of a park is
shown in the diagram. Each square on the grid represents
a square yard. Use shapes to model the area of the park.
Explain your reasoning and justify your calculations.
Answer:
We are trying to calculate the area of the park by modeling it with shapes. To start, the larger rectangle (green) toward the top is the easiest to calculate. Its length is 8 yards and its width is 4 yards, so the area would be 8 x 4 = 32 yards^2.
Next, the 3 rectangles at the bottom (white). The one in the middle has a length of 4 yards and a width of 3 yards, so its area is 4 x 3 = 12 yards^2. The two rectangles to either side are the same size, so together their area will be 2 x 4 x 3 = 24 yards^2.
Now that we have modeled the park with 3 shapes, we need to add the areas together to get the total area. So, we have 32 + 12 + 24 = 68 yards^2. The total area of the park is 68 yards^2.
Step-by-step explanation:
The area of the park is about :
95 + 27 = 122 yards
We have the following information available from the question is:
The outline of a park is shown in the diagram. Each square on the grid represents a square yard. Use shapes to model the area of the park.
Now, According to the question:
Each square on the grid represents a square yard, and as we can see from the figure that the complete square is about 95, the incomplete grid is about 27,
So the area of the park is about :
95 + 27 = 122 yards
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i got like 4 more left ;)
Answer:
oof
Step-by-step explanation:
This figure was created with three different rectangles. Find the total area in square centimeters.
The total area for the figure is given as follows:
288 cm².
How to obtain the area of a rectangle?The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:
A = lw.
The dimensions of each rectangle are given as follows:
8 cm and 9 cm.9 cm and 12 cm.9 cm and 12 cm.Hence the total area is given as follows:
A = 8 x 9 + 2 x 9 x 12
A = 288 cm².
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5h-6-8+7h what’s the answer ?
A rectangle has a width of 24 inches and a height of 12 inches. A second rectangle is proportional to the first and has a width of 6 inches. What is the height of the second rectangle
The height of the second rectangle is 3 inches.
How to solve the side of a rectangle?The rectangle has a width of 24 inches and a height of 12 inches. A second rectangle is proportional to the first and has a width of 6 inches.
The height of the second rectangle can be found as follows:
Two variables have a proportional relationship if the ratios of the variables are equivalent.
Hence, using the proportion,
let
x = height of the rectangle
24 / 12 = 6 / x
24x = 12 × 6
24x = 72
divide both sides by 24
x = 72 / 24
x = 3 inches
Therefore,
height of the second rectangle = 3 inches
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On a standardized exam, the scores are normally distributed with a mean of
195 and a standard deviation of 50. Find the z-score of a person who scored
330 on the exam.
The z-score of a person who scored 330 on the exam is approximately 2.7.
To find the z-score of a person who scored 330 on the exam, we can use the formula for calculating the z-score:
z = (x - μ) / σ
where:
z is the z-score
x is the raw score (330 in this case)
μ is the mean (195 in this case)
σ is the standard deviation (50 in this case)
Substituting the values into the formula, we get:
z = (330 - 195) / 50
z = 135 / 50
z = 2.7
The z-score of a person who scored 330 on the exam is 2.7.
The z-score measures the number of standard deviations a particular data point is away from the mean.
In this case, a z-score of 2.7 indicates that the person's score of 330 is 2.7 standard deviations above the mean score of 195.
The z-score is useful for comparing data points across different normal distributions or for determining the relative position of a data point within a distribution.
A positive z-score indicates a value above the mean, while a negative z-score indicates a value below the mean.
In this context, a z-score of 2.7 suggests that the person's score is relatively high compared to the average performance on the exam.
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A jogger runs 15 miles in 2 hour and continues jogging at the same rate.
What is the jogger's speed in miles per hour?
Answer:
7.5 miles per hour
Step-by-step explanation:
7.5 = 1 mile + 7.5= 1 mile =15= 2 miles
2 1.3.3 Quiz: Random Sampling
Question 1 of 10
Three national news networks are trying to estimate what percentage of
American voters support a particular presidential candidate. To estimate the
population parameter, each of the three networks collect data from a simple
random sample of voters. Here are the numbers of voters in the networks'
random samples:
• Network A: 3800 voters sampled
• Network B: 3500 voters sampled
• Network C: 3250 voters sampled
Which sample is likely to have the least variability?
A. The Network A sample
OB. The Network B sample
OC. The Network C sample
Answer:
A. The Network A sample
Step-by-step explanation:
The variability of a dataset is a measure of how values in the dataset deviates from the mean value, the variability of a dataset is usually measured using the variance and standard deviation of the data values.
In statistics, variability is curbed by increasing the sample size of the data as larger values in the sample usually means that the sample mean will be close to the population mean. Hence, since network A has the highest number of Sampled voters, then Network A will likely have lesser variability than both Network B and C. Similarly, Network B will likely have lesser variability than Network C.
Network A: 3800 voters sampled
• Network B: 3500 voters sampled
• Network C: 3250 voters sampled
Answer:
A.
Step-by-step explanation:
Just took the test
What value of xwill make x3/2=8 true?
Answer:
is it x to the power of 3 or 3x over 2=8?
Step-by-step explanation:
Answer:
x = ∛2^4 which is approx. 2.5
Step-by-step explanation:
x³/2 = 8/1
cross-multiply to get:
x³ = 16
x³ = 2^4
multiply each exponent by 2/3
x^(3·2/3) = 2^(4·2/3)
x² = 2^8/3
take square root of each side:
x = 2^(8/3 · 1/2)
x = 2^4/3
x = ∛2^4
find the product in lowest terms 24/18x2/17x34/3
Answer:
Step-by-step explanation:
To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:
(24/18) * (2/17) * (34/3)
First, we can simplify the fractions by reducing any common factors in the numerators and denominators:
24/18 = (212)/(29) = 12/9 = 4/3
2/17 = 2/17
34/3 = (2*17)/3 = 34/3
Now we can multiply the simplified fractions:
(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153
The product of the given fractions in lowest terms is 272/153.
Anybody can help me with this one?
Answer:
look pic
Step-by-step explanation:
the -1/4 is the slope and 5 is where you start
does anybody know what to do here?
Answer:
m=6
Step-by-step explanation:
38+8m+4=90
42+8m=90
8m=90-42
8m=48
m=6
Help me ASAP!!!!!!!!!!
The difference in height of the two checkpoints is 3487 feet.
What do you mean by above sea level?The term above mean sea level (AMSL) refers to the elevation (on the ground) or altitude (in the air) of any object, relative to the average sea level datum.
Given here: The table containing the altitude of different checkpoints in a race.
Height above mean sea level is a measure of the vertical distance (height, elevation or altitude) of a location in reference to a historic mean sea level taken as a vertical datum.
The altitude of checkpoint 1 is -164 and Checkpoint 2 as 3487
Thus Difference in the height of the two checkpoints is
3487-(-164)
3651 feet lower.
If the top of a hill rises 291 feet above checkpoint 1 we get
-164+291=127 feet
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4(×+2)=20
please help me ASAP
Answer: 4(x+2)=20
(x+2)=20/4
x=5-2
=3
verification:-
4(3+2)=20
4(5)=20
20=20
L.H.S=R.H.S
x=3
If DE =11 and CE =27, what is CD?
Answer:
16
Step-by-step explanation:
Subtract DE from CE and you will get the value of CD
27 - 11 = 16
Question One:
If a raw score corresponds to a z-score of 1.75, what does that tell you about that score in relation to the mean of the distribution?
Question Two:
What if the raw score corresponds to a z-score of -0.85?
Question One:A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.
Question Two: , the raw score is relatively lower than the mean.
If a raw score corresponds to a z-score of 1.75, it tells us that the raw score is 1.75 standard deviations above the mean of the distribution. In other words, the raw score is relatively higher than the mean. The z-score provides a standardized measure of how many standard deviations a particular value is from the mean.
A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.
Question Two:
If a raw score corresponds to a z-score of -0.85, it tells us that the raw score is 0.85 standard deviations below the mean of the distribution. In other words, the raw score is relatively lower than the mean. The negative sign indicates that the raw score is below the mean.
To understand the meaning of a z-score, it is helpful to consider the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a distribution. A z-score allows us to compare individual data points to the mean in terms of standard deviations.
In the case of a z-score of -0.85, we can conclude that the raw score is located below the mean and is relatively lower compared to the rest of the distribution. The negative z-score indicates that the raw score is below the mean and is within the lower portion of the distribution. This suggests that the raw score is relatively smaller or less than the average value in the distribution.
By using z-scores, we can standardize and compare values across different distributions, allowing us to understand the position of a raw score relative to the mean and the overall distribution.
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0.52 0.25 0.75 0.620 0.062 from smallest to largest
Answer:
0.062; 0.25; 0.52; 0.620; 0.75
You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickets for $7 each.
When t=3 what is the total amount of money received?
Answer: $132
Step-by-step explanation:
(3t + 2) = 55
(2t + 5) = 77
$55 + $77 = $132
Identify the graph of the inequality 2(2x-1)+7< 13 or -2x+5-10.
From the resulting solution, the correct linear inequality graph is Graph C.
Solving inequality expressionGiven the inequality equation below:
2(2x-1)+7< 13 or -2x+5 ≤ -10.
Simplify the expression
2(2x-1)+7< 13
Expand
4x - 2 + 7 < 13
4x + 5 < 13
4x < 13 - 5
4x < 8
x < 2
For the inequality -2x+5 ≤ -10.
-2x+5 ≤ -10
-2x ≤ -15
x ≥ 7.5
Hence the solution to the given system of inequalities are x < 2 and x ≥ 7.5
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Hurry and answer this please I have to have this right or I'll have to be held back.From a group of 5 boys and 3 girls, a boy AND a girl will be selected to attend a conference. In how many ways can the selection be made?
Answer:
15 ways
Step-by-step explanation:
girl 1 and boy 1
girl 2 and boy 1
girl 3 and boy1
girl 1 and boy 2
girl2 and boy 2
girl 3 and boy 2
girl 1 and boy 3
girl 2 and boy 3
girl 3 and boy 3
girl 1 and boy 4
girl 2 and boy 4
girl 3 and boy 4
girl 1 and boy 5
girl 2 and boy 5
girl 3 and boy 5
What is the area of the figure?
Answer:
졌던 냥 샷 세 새 새 휴 여ㅔ헤헤헤헤헤헤하리ㅎㄴ하왕허웋ㅇ헝후오ㅡ아ㅗ여ㅏㅕ라ㅕ라ㅗㅇ렁셔 요 쇽뎌ㅕ려래ㅛ요ㅓㅓㅛ요ㅏ다ㅛ 또훙서 유ㅓ가ㅗㅗ히ㅓ
ㅍ피ㅓ리ㅓ히ㅓㅓ히ㅗ챠ㅗㅗ료ㅡ쵸ㅏㅇ
Step-by-step explanation:
ㅇㅎ겨개ㅛ교ㅑ아ㅛ려ㅐㄹ서넣요ㅏㅗㅏ차ㅗ셔ㅏ 로 홀ㅛㅕㅑ쇼ㅑ겻효ㅕ 껴ㅛㅕㅛ교ㅑ교ㅐ료ㅏ래ㅕ새ㅕ리ㅕㅐㅕㅔㅑㅣㅕ셔ㅐ ㅕㅣ셔ㅐㄱㅕㅔ샹샹허텋요ㅑ오툐ㅏ어ㅣ래ㅕ촤쳐ㅐ료ㅑ와타ㅛ낳와탸ㅛ와촤야ㅛ 유ㅗㅡ촤우ㅗ퇴롸러ㅣ혀ㅣ라ㅛㅌ샤 ㅗㅣ래ㅛ려ㅣ랴ㅛ아ㅗ처ㅣ촤여ㅣ리ㅕㅓ쵸ㅐ려ㅣㅓㅓㅣ리ㅓㄹㅗㅏ려ㅣ려ㅣ려ㅣㅣㅕㅛㅑㅓㅛ나굣이셔서ㅣㅣ시서ㅣ서소니서서서성섯여ㅣ햐ㅔㅅ하ㅕㅓ퍄샤도ㅕㅐ요ㅏㅗ럇냐ㅛ려ㅔㅐㅈ서ㅕㅣ세ㅕ엿처억 ㅣㅕ려
The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer about a complaint is normally distributed, with a mean of 10.1 minutes and a standard deviation of 2.8 minutes. What is the probability that for a randomly chosen customer with a complaint, the amount of time spent resolving the complaint will be as follows. (Round your answers to four decimal places.)(a) less than 10 minutes (b) longer than 5 minutes (c) between 8 and 15 minutes
Answer:
0.6395 ; 0.9657 ; 0.7333
Step-by-step explanation:
Given that:
Mean (m) = 10.1
Standard deviation (s) = 2.8
Obtain the following probabilities :
a) less than 10 minutes
P(x < 10)
Z = (x - m) / s
Z = (10 - 10.1) / 2.8
Z = 0.1 / 2.8
Z = 0.0357142
P(Z < 0.357) = 0.6395 ( Z probability calculator)
(b) longer than 5 minutes
P(x > 5)
Z = (x - m) / s
Z = (5 - 10.1) / 2.8
Z = −1.821428
P(Z < - 1.821) = 0.9657 ( Z probability calculator)
(c) between 8 and 15 minutes
P(8 < x < 15)
P(x < 8)
Z = (x - m) / s
Z = (8 - 10.1) / 2.8
Z = − 0.75
P(Z < - 0.75) = 0.22663 ( Z probability calculator)
P(x < 15)
Z = (x - m) / s
Z = (15 - 10.1) / 2.8
Z = 1.75
P(Z < 1.75) = 0.95994 ( Z probability calculator)
P(Z < 1.75) - P(Z < - 0.75)
0.95994 - 0.22663 = 0.7333
Calculate the loss on selling 50 shares of stock originally bought at 13 3/4 and sold at 12
The loss on selling 50 shares of stock would be 87.50.
To calculate the loss on selling 50 shares of stock originally bought at
\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.
First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.
Next, we calculate the difference between the purchase price and the selling price:
\(13.75 - 12 = 1.75.\)
Finally, we multiply the difference by the number of shares sold:
\(1.75 \times50 = 87.50.\)
Therefore, the loss on selling 50 shares of stock would be 87.50.
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Share your own multi-step combination problem
My own multi-step combination problem is given below:
Amanda was planning a dinner party for 10 people, and she want to choose a menu of 3 fruit , 2 meat pie, and 2 desserts. Amanda have a total of 5 fruit , 4 meat pie, and 3 desserts to choose from. How many different dinner menus can Amanda create?How do you solve the multi-step combination?To solve this problem, Amanda need to use the formula for combinations and it is:
nCr = n! / (r! x (n-r)!)
where:
n = total number of items to select from
r is the number of items to select.
First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:
5C3
= 5! / (3! x (5-3)!)
= 10
Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be
4C2
= 4! / (2! x (4-2)!)
= 6
Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:
3C2
= 3! / (2! x (3-2)!)
= 3
To have the total number of dinner menus, we have to multiply these three numbers together:
= 10 x 6 x 3
= 180
Therefore, one can say that Amanda have 180 different dinner menus that she can be create.
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What is the missing value from the set of data if the mean is 4?
{5,2,_,2,4,8}
Answer: The missing value from the data set is 4.
Step-by-step explanation: Let's put it from least to greatest to figure it out...
2, 2, (4, 4,) 5, 8,
It would have to be 4, because 8 divided by 2 will equal 4. And because there's an even amount of numbers we have to add two numbers then divide it by 2.
4 + 4 = 8
8 ÷ 2 = 4
The mean is 4, and the missing value from the data set is 4.
I hope this helps!
Mrs. Mathews buys deli meat for her kids lunches every week. This week she buys 3.75 pounds of ham. If she used 0.25 pounds of ham for each sandwich, how many sanwhiches can she make?
it's good but if u r hard-working
Answer:
15 sandwiches
determine the slope of the line that contains the given point C(0,1) D(3,3)
Answer:
\(m=\frac{2}{3}\)
General Formulas and Concepts:
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)
Step-by-step explanation:
Step 1: Define
C (0, 1)
D (3, 3)
Step 2: Find m
Substitute: \(m=\frac{3-1}{3-0}\)Subtract: \(m=\frac{2}{3}\)Find an equation of the tangent plane to the given parametric surface at the specified point. I and the tangent plane. r(u,v)=u cos v hat xi +u sin y dot y +vk ; u = 5 v = pi / 3
The equation of tangent plane to the given parametric surface \(r(u,v) = u.cos(v)i + u.sin(v)j + vk\) is \(\frac{\sqrt3}{2}x - \frac{5}{2}y + 5z = \frac{5\pi}{3}\) .
The given parametric surface is
\(r(u,v) = u.cos(v)i + u.sin(v)j + vk\)
The tangent vectors are
⇒ \(r_u = \frac{dx}{du} i+ \frac{dy}{du}j + \frac{dz}{du}k\)
⇒ \(r_u =\) \(r(u,v) = cos(v)i + sin(v)j + 0k\)
⇒ \(r_v = \frac{dx}{dv} i+ \frac{dy}{dv} j+ \frac{dz}{dv} k\)
⇒ \(r_v =\) \(r(u,v) = -u.sin(v)i + u.cos(v)j + 1k\)
The normal vector to the tangent plane is
\(r_u r_v = \left[\begin{array}{ccc}i&j&k\\cos(v)&sin(v)&0\\-usin(v)&ucos(v)&1\end{array}\right]\)
⇒ \(r_u r_v =\) \(sin(v)i - cos(v)j + u.k\)
When u = 5, v = \(\frac{\pi }{3}\), the normal vector becomes
⇒ \(sin(\frac{\pi}{3})i - cos( \frac{\pi}{3})j + k\)
⇒ \(\frac{\sqrt{3} }{2}i - \frac{1}{2} j + k\)
The point on the surface corresponding to the u = 5 & v= \(\frac{\pi}{3}\) is
\(r(5, \frac{\pi}{3}) = (5)cos(\frac{\pi}{3})i + (5)sin(\frac{\pi}{3})j + (\frac{\pi}{3})k\\r(5, \frac{\pi}{3}) = \frac{5}{2}i + \frac{5\sqrt3}{2}j + \frac{\pi}{3}k\)
If a is the position vector of a point on the plane & n is a vector normal to the plane, then the equation of the plane is
⇒ (r - a).n = 0
⇒ \((x - \frac{5}{2}) . ( \frac{5\sqrt3}{2}) + (y - \frac{5\sqrt3}{2}).(- \frac{5}{2}) + (z - \frac{\pi}{3}).(5) = 0\)
⇒ \(\frac{\sqrt3}{2}x - \frac{5}{2}y + 5z = \frac{5\pi}{3}\)
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