Answer:
(3 7/8, 2 3/4)
Step-by-step explanation:
To find the midpoint, the formula is (x1-x2)/2 and (y1-y2)/2. So, in this case, our x1 is 4 1/2 and our x2 is -3 1/4. Subtract x2 from x1 and you will get 7 3/4. Then, divide by 2 to get 3 7/8. This is our x-coordinate.
Our y1 is 3 3/4 and our y2 is -1 3/4. Subtract y2 from y1 to get 5 1/2. Then divide by two to get 2 3/4. This is our y-coordinate.
Now we have our x and y coordinates.
(3 7/8, 2 3/4)
Solve 2y - 3 = 4y +6.
I
y=
Answer:
-9/2
Step-by-step explanation:
Begin by subtracting 2y from both sides
(2y - 2y) - 3 = (4y - 2y) + 6
-3 = 2y + 6
Then, subtract 6 from both sides
(-3 - 6) = 2y + (6 - 6)
-9 = 2y
Finally, divide by 2 on each side
(-9/2) = (2y/2)
y = -9/2
What number should be added to both sides of the equation to complete the square? x2 + 3x = 6 (StartFraction 3 Over 2 EndFraction) squared 3 62
Answer:
b
Step-by-step explanation:
The number that should be added to the equation is n = ( 3/2 )²
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
To complete the square for the quadratic equation x^2 + 3x = 6, we need to add a constant term to both sides that will make the left-hand side a perfect square trinomial
First, we need to find the coefficient of the x-term, which is 3. Then we take half of this coefficient, which is 3/2, and square it, giving us 9/4.
To complete the square, we add this value to both sides of the equation:
x² + 3x + 9/4 = 6 + 9/4
The left-hand side can now be factored as a perfect square trinomial:
(x + 3/2)² = 33/4
To solve for x, we take the square root of both sides:
x + 3/2 = ±√(33/4)
x = -3/2 ± (1/2)√33
Hence , the number we need to add to both sides of the equation to complete the square is 9/4
To learn more about quadratic equations click :
https://brainly.com/question/25652857
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Write the polynomial in standard form.
- 4 + 3x - 522
Answer:
3x-526
Step-by-step explanation:
the 3x would go in the beginning. then you subtract (-4-522)= -526.
Need help what’s the solution for b^2-14b=0
Answer:
b = 0 b = 14
Step-by-step explanation:
b^2-14b=0
Factor out a b
b(b-14) = 0
Using the zero product property
b =0 b-14=0
b = 0 b = 14
Is 6.584 a rational
number?
Answer:
Step-by-step explanation:
To get rid of the decimal point in the numerator, we count the numbers after the decimal in 6.584, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 1000 to get the following fraction: 6584 / 1000
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 6584 and 1000 is 8. When we divide the numerator and denominator by 8, we get the following: 823 / 125
Therefore, 6.584 as a fraction is as follows: 823 / 125
a manager bought some stamps she gave 1/3 of them to the cashier and 1/5 of them to her secretary.if the secretary received 40 fewer stamps than the cashier how many did the cashier receive?
Answer:
The cashier received 100 envelopes
Step-by-step explanation:
let the number of stamps bought be x.
Cashier will receive 1/3 *x = x/3
Secretary will receive = 1/5 * x = x/5
Now we are told that the secretary received 40 fewer.
This means that the difference between the amounts they received is 40
Mathematically;
x/3 - x/5 = 40
2x/15 = 40
x = (15 * 40)/2 = 600/2 = 300
The cashier received x/3 = 300/3 = 100
Answer:
Cashier received 100 stamps
Step-by-step explanation:
1/3 to cashier
1/5 to secretary
Total stamps=x
Cashier=(1/3)x
Secretary=(1/5)x
Secretary received 40 fewer stamps than the cashier
Difference between cashier and secretary share=40
1/3x-1/5x=40
(2/15)x=40
40×15=2x
600=2x
x=300
Cashier=(1/3)x
=(1/3)300
=100
Solve and graph. Thank you so much!
Answer:
Step-by-step explanation:
6 + x/2 >= -4
x/2 >= -10
x >= -20
solution is b
Each person in Plimouth was given a plot of land 16.7 m wide by 40.8 m long. The Alden family had four members. What was the square area of the plot of land they were allotted?
Answer:
They were allotted 2725.44 meters² of land.
Step-by-step explanation:
Well a member of the Alden family gets 16.7 meters×40.8 meters or 681.36 meters². Now since there are 4 of them, we multiply how much land one Alden family gets by 4 members.
681.36 m²×4 people = 2725.44 meters²
Answer:
2,725.44 square meters
Step-by-step explanation:
We can do all of the necessary math at once:
(16.7 m)(40.8 m)(4 persons) = 2,725.44 square meters
In a random survey of 226 college students, 20% reported being "only" children (no siblings). The standard deviation is 2%.
Determine the confidence interval that is likely to contain the percent of all students nationwide who are only children.
Answer:
The confidence interval that is likely to contain the percent of all students nationwide who are only children is (0.1505,0.2554)
Step-by-step explanation:
Total number of students = n = 226
We are given that 20% reported being "only" children (no siblings).
Number of students being "only" children (no siblings) [tex]= 20\% \times 226=\frac{20}{100} \times 226=45.6\sim46[/tex]
So, x = 46
[tex]p=\frac{x}{n}=\frac{46}{226}=0.203[/tex]
Z at 95% is 1.96
Formula for confidence interval for sample proportion :
[tex]CI=p \pm Z \times \sqrt{\frac{p(1-p)}{n}}[/tex]
Substitute the values in the formula :
[tex]CI=0.203 \pm 1.96 \times \sqrt{\frac{0.203(1-0.203)}{226}}\\CI=(0.1505,0.2554)[/tex]
Hence the confidence interval that is likely to contain the percent of all students nationwide who are only children is (0.1505,0.2554)
What’s the error mica make?
Step-by-step explanation:
She should have added 2 to the 3, not 1 because on the right side, she added 1, but that was being multiplied by 2 so to balance the equation she should add 2 to the 3. Hope this helps!
La base de una cartulina rectangular mide 8 cm de altura si le recortamos 3 cm a su altura el area de la nueva cartulina seria 126 cm calcula las dimenciones de la cartulina inicial
Answer:
[tex]w=8cm\\h=18.75cm[/tex]
Step-by-step explanation:
Let:
[tex]w=Width\\h=Initial\hspace{3}height\\h_m=Modified\hspace{3}height\\\\Where:\\\\h_m=h-3[/tex]
The area of the cardboard can be calculated using the formula to find the area of a rectangle:
[tex]A=w*h[/tex]
The area of the new cardboard would be:
[tex]A=w*h_m\\\\Where:\\\\w=8\\h_m=h-3\\A=126[/tex]
So:
[tex]126=8*(h-3)\\\\126=8h-24[/tex]
Solving for h:
[tex]126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm[/tex]
Therefore, the dimensions of the initial cardboard are:
[tex]w=8cm\\h=18.75cm[/tex]
Translation:
Sea:
[tex]w=Ancho\\h=Altura\hspace{3}inicial\\h_m=Altura\hspace{3}modificada\\\\Donde:\\\\h_m=h-3[/tex]
El área de la cartulina se puede calcular usando la fórmula para encontrar el área de un rectángulo:
[tex]A=w*h[/tex]
El área de la nueva cartulina sería:
[tex]A=w*h_m\\\\Donde:\\\\w=8\\h_m=h-3\\A=126[/tex]
Entonces:
[tex]126=8*(h-3)\\\\126=8h-24[/tex]
Resolviendo para h:
[tex]126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm[/tex]
Por lo tanto, las dimensiones de la cartulina inicial son:
[tex]w=8cm\\h=18.75cm[/tex]
can i get help please?? Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of Earth? (Use 3.14 for π) A. 2,512,000 miles B. 25,120 miles C. 1,256,000 miles D. 12,560 miles
Answer:
B
Step-by-step explanation:
Circumference is 3.14*d
Where d is the diameter.
3.14*8000
= 25120
The Earth has a circumference of 25120 miles approximately.
Answer:
B. 25,120 miles.
Step-by-step explanation:
Circumference = π * diameter
= 3.14 * 8000
= 25,120 miles.
Can someone help me with this please and don’t guess I really need help
Answer:
it should be (5,4)
Step-by-step explanation:
♊♊♊
Answer:
A would be reflected across to (5,-4), so, the bottom answer.
Step-by-step explanation:
For reflections across an axis, all I really do is count how many units a point is from the axis you are reflecting across, and then count the many on the other side of the axis. On this problem, A was 4 units above the x-axis, and 5 from the y-axis. I just counted 8 units down, or, 4 units down from the x-axis, and since I didn't change where my point was on the y-axis, it landed on the point (5,-4).
You cast a fishing lure from 4 feet above the water. Its travel is given by the function h = -16t^2 + 24t + 4, where t = time in seconds. After how many seconds will it reach a height of 12 feet?
Answer:
Fishing lure will be at a height of 12 feet after 0.19 and 1.31 seconds
Step-by-step explanation:
Travel of a fishing lure has been given by the expression,
h = -16t + 24t + 4
where h = height of the fishing lure
t = time or duration of travel
Height traveled by the fishing lure = 12 - 4 = 8 feet
For h = 8 feet,
8 = -16t² + 24t + 4
-16t² + 24t + 4 - 8 = 0
16t² - 24t + 4 = 0
4t² - 6t + 1 = 0
t = [tex]\frac{6\pm\sqrt{(-6)^{2}-4(4)(1)}}{2\times 4}[/tex]
= [tex]\frac{6\pm\sqrt{36-16}}{8}[/tex]
= [tex]\frac{6\pm\sqrt{20}}{8}[/tex]
= [tex]\frac{6\pm2\sqrt{5}}{8}[/tex]
= 1.31, 0.19 seconds
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2 l plus 2 w equals 16, where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle? 7 in. 8 in. 9 in. 10 in.
Answer:
7 in.
Step-by-step explanation:
When 7 in. is used this is what happens
2(7) + 2(w) = 16 in.
14 + 2w = 16 in.
Because the 7 in. option leaves room for the value of the width unlike the others.
Answer: 7 inches
Step-by-step explanation:
I took the test on this and scored 100%
Write the explicit formula for the sequence. Then find the fifth term in the sequence.
a1= 3, r=-3
Answer:
a) Explicit Formula : aₙ = 3. (-3)ⁿ⁻¹
b) Fifth term : a₅ = 243
Step-by-step explanation:
This sequence above is the Geometric sequence. The Geometric sequence is calculated using the formula
aₙ= a1.rⁿ⁻¹
where a1 = first term
r = common ratio
n = number of terms
From the above question, we are given
a1= 3, r=-3 and asked to find the explicit formula.
The explicit formula using the geometric sequence formula =
aₙ = 3. (-3)ⁿ⁻¹
b) The fifth term in the sequence is calculated as
aₙ = 3. (-3)ⁿ⁻¹
Where n = 5
a₅ = 3.(-3)⁵⁻¹
a₅ = 3.(-3)⁴
a₅= 243
.the difference of thirteen and six, multiplied by a number
Step-by-step explanation:
If n represents the number, then you get;
n(13-6) or n(7) or n * 7
Marilyn is playing a game where she draws a slip of paper with the words "Rock, Paper, Scissors" written on each slip from a hat. She then flips a coin. She predicts "Paper" and calls Tails. She wins if she is correct. What is the probability she will win?
Answer:
1/6
Step-by-step explanation:
In a game of "Rock, Paper, Scissors", there are three possibilities. The probability that Marilyn will get Paper is given as
1/3
In a coin flip, the probability that it will land on tails is
1/2
Therefore, the probability that she will win if she predicts "Paper" and calls Tails is the product of the individual probabilities:
1/3 * 1/2 = 1/6
What is an expression equivalent to 2(7 x + 3 - x ) ??
Answer: Simplify the expression.
12x+6
Step-by-step explanation:
your answer is 12x+6
can someone please answer this math question
Answer:
The answer is in the picture
Our math team had m students last year, but this year it has already n students! By what percent did the number of students grow?
Answer:
(n-m)/m * 100%
Step-by-step explanation:
The original amount is m
The new amount is n
Take the new amount and subtract the original amount
(n-m)
Divide by the original amount
(n-m)/m
Multiply by 100 %
(n-m)/m * 100%
Answer:
(n-m)/m*100
Step-by-step explanation
trust me its the answer i checked with rsm math homework and it was correct
Guillermo is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by g(x)=\dfrac{1}{20}x(x-100)g(x)= 20 1 x(x−100)g, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 20, end fraction, x, left parenthesis, x, minus, 100, right parenthesis How many seconds after diving will Guillermo reach his lowest altitude?
Answer: 140
Step-by-step explanation:
Answer: 50
Step-by-step explanation:
Khan academy answer
in scientific notation, how can you tell if it is less than or greater than 1? Explain
Answer: See below
Step-by-step explanation:
In scientific notation, you can tell that it is greater or less than 1 by looking at the exponent. The scientific notation looks like _.__×10⁻. Note: The little lines are blanks for you to fill in. The dot at the bottom is a decimal.
If the exponent on top of 10 is positive, you are moving the decimal to the right side, making the number greater.
If the exponent on top of 10 is negative, you are moving the decimal to the left side, making it smaller and smaller.
By those statements, you can tell if a number is greater or less than 1 by looking at the exponent.
Which table represents exponential growth?
Answer:
You haven't linked any tables?
Step-by-step explanation:
The manager of a clothing store in the mall wants to collect data to find out customers' opinions of the brands of clothing sold at the store. Which group should he survey to collect the best data?
A.
twenty customers who asked to share their opinions of the clothing brands with the store manager
B.
twenty-five customers who visited the store but did not purchase any clothes
C.
thirty randomly selected customers who shopped at the clothing store
D.
forty randomly selected people in the mall parking lot
Answer:
c
Step-by-step explanation:
Its wouldn't be A since there are numbers bigger than 20 B is not correct since it said 25 people that did not buy any clothes so you would not get a good opinion its not D because out of the 40 people some could have not bought anything from the store. Its C because its the biggest number of people that actually shopped and got things from that store
Answer:
Answer:
c. Thirty randomly selected customers who shopped at the clothing store.
Step-by-step explanation:
determine the slope of a line that passes through A(-4, 7) and B(6,3)
Answer:
-2/5
Step-by-step explanation:
The slope is found by
m= (y2-y1)/(x2-x1)
= (3-7)/(6 - -4)
= -4/(6+4)
- 4/(10)
= -2/5
Answer:
[tex]m=\frac{-2}{5}[/tex]
Step-by-step explanation:
Use the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the numbers (coordinates) given, like so:
[tex]m=\frac{3-7}{6+4}[/tex]
[tex]m=\frac{-4}{10}[/tex]
Simplify:
[tex]m=\frac{-2}{5}[/tex]
Tanmay had some chocolates with him. He gave one-third of them to Akash and one-fifth of them to Sharad. Tanmay could do so without breaking any chocolate. Which of these could be the number of chocolates Tanmay had in the beginning?
Answer:
The possible value of X are;
15, 30, 45, 60 etc
Step-by-step explanation:
The parameters given are
Number of chocolates Tanmay had = X
Number of chocolates Tanmay gave to Akash = 1/3 × X
Number of chocolates Tanmay gave to Sharad = 1/5 × X
Whereby 3 and 5 are factors of X, therefore;
3 × 5 = 15 is the lowest single factor of X
The possible values of X starting from the lowest factor are given as follows;
15 × 1 = 15
15 × 2 = 30
15 × 3 = 45
15 × 4 = 60
Hence, the possible value of X are the arithmetic progression a + (n - 1)×d
Where:
a = 15
n = 1, 2, 3, 4, ...
d = 15
Which includes;
15, 30, 45, 60
You are studying for your final exam of the semester. Up to this point, you received 3 exam scores of 81%, 62%, and 94%. To receive a grade of B in the class, you must have an average exam score between 80% and 89% for all 4 exams including the final. Find the widest range of scores that you can get on the final exam to receive a grade of B in the class. [80,81] [76,100] [83,100]
1. Write the following in decimal form and say what kind of decimal expansione Suppose we want to
N.
non-terminating non-recurring lyi
many such numbers.
An example of such a number is 0.150150015000150000...
the previous section, yo
I number has a decimal
to represent it on the n
EXERCISE 1.3
1
nber line. We know t
13.
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(iii) 4
11
8
So, let us look close
2
3
329
(vi)
mber line between 2 a
13
11
400
enam
s into 10 equal parts
2. You know that = = 0.142857. Can you predict what the decimal expansions of
rision as in Fig. 1.11 (
4 5 6
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are, without actually doing the long division? If so, how?
ficulty in observing th
clear view of the san
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Answer: ...
Step-by-step explanation:
Factor the given quadratic function x2 + 9x = 36.
Answer:
(x + 12)(x - 3)
Step-by-step explanation:
[tex] {x}^{2} + 9x = 36 \\ {x}^{2} + 9x - 36 = 0 \\ {x}^{2} + 12x - 3x - 36 = 0 \\ x(x + 12) - 3(x + 12) = 0 \\ (x + 12)(x - 3) = 0[/tex]
