Answer:
(7,12),(-12,-7)
Step-by-step explanation:
x^2 + y^2 = 193
x - y = - 5
x = y - 5
(y - 5)^2 + y^2 = 193
y^2 - 10y + 25 + y^2 = 193
2y^2 - 10y + 25 = 193
2y^2 - 10y + 25 - 193 = 0
2y^2 - 10y - 168 = 0
2*(y^2 - 5y - 84) = 0 This factors into
2*( y - 12) (y + 7) = 0
y = 12
in which case x = 12 - 5 = 7
y = - 7
in which case x = -7 - 5 = - 12
x + 2 + (1.5x -6) =16 what is X
Answer:
8+2+(1.5*8-6)
Step-by-step explanation:
8=x
Answer:
x = 8
Step-by-step explanation:
x + 2 + (1.5x - 6) = 16
2.5x - 4 = 16
2.5x = 20
x = 20/2.5
x = 8
reflect point a (1,1) over y axis
Answer:
reflected across the y axis, the point (1, 1) becomes (-1, 1).
Step-by-step explanation:
To reflect a point across the y-axis, all you need to do is negate the x coordinate. That gives you (-1, 1)
Suppose that quiz scores in a beginning statistics class have a mean of 6.6 with a standard deviation of 0.6. Using Chebyshev's Theorem, what is the minimum percentage of quiz scores between 4.8 and 8.4
Answer:
88.89%
Step-by-step explanation:
Calculation for what is the minimum percentage of quiz scores between 4.8 and 8.4
The calculated minimum percentage value of quiz scores between
First step is to calculate the lower k value using this formula
k=(x1−m)/s
Where:
x1 represent first random value 4.8
x2 represent second random value 8.4
m represent mean 6.6
s represent standard deviation 0.6
Let plug in the formula
k=(4.8−6.6)/0.6
k=−1.8/0.6
k=−3
Second step is to calculate the upper k value
k=(x2−m)/s
k=(8.4−6.6)/0.6
k=1.8/0.6
k=3
Now let calculate the minimum percentage
Using this formula
Minimum percentage=1−1/k^2
Let plug in the formula
Minimum percentage=1−1/3^2
Minimum percentage=1−1/9
Minimum percentage=1−0.1111
Minimum percentage=0.8889*100
Minimum percentage=88.89%
Therefore the minimum percentage of quiz scores between 4.8 and 8.4 is 88.89%
Answer:
75%
Step-by-step explanation:
5.2−6.40.6=−2 and 7.6−6.40.6=2.
This means that 5.2 lies 2 standard deviations below the mean and 7.6 lies 2 standard deviations above the mean.
According to Chebyshev's Theorem, at least 75% of data values lie within 2 standard deviations of the mean.
Therefore, we can say that 75% is the minimum percentage of quiz scores between 5.2 and 7.6.
EMERGENCY!!!!
I have fallen and can't get up.
Answer:
do you need a bandaid?
Step-by-step explanation:
Step-by-step explanation:
Wth?
Are u okay??
call 911
James can eat 12 jelly beans per minute, and Jenny can eat 8 jelly beans per minute. How
many minutes will it take Jenny and James to eat a combined total of 100 jellybeans?
Answer:
5 mins.
Step-by-step explanation:
hope his helps good luck
Answer:
5 minutes
Step-by-step explanation:
Please see the attachment. Thank you
One-third of the total number of marbles in a jar are blue and green. There are 24 blue marbles and 18 green marbles. How many marbles are in the jar?
Answer:
126 marbles
Step-by-step explanation:
if 42 is 1/3 of the jar, times it by 3 and that's the total.
Answer:
126 marbles
Step-by-step explanation:
24 - blue
18 - green
42 are blue or green
let 't' = total number of marbles
1/3t = 42
t = 42 x 3 = 126
What’s the answer? I have to pass with my credits for high school
1. Which of the following is an irrational number?
A. 3
B. 3.666...
C. 19
D. Vg
Answer:
Vg
Step-by-step explanation:
All the others are decimals
pls give thanks, 5 star, brainliest
A railroad car container can hold 66,000 pounds. Mr. Evans wants to ship 80 ovens and some freezers in the same container. If each freezer weighs 600 pounds, how many freezers could be shipped in the container. Each oven
weighs
300 pounds
Answer:
70 freezersStep-by-step explanation:
Each oven weights 300 pounds and there 80 ovens:
80*300 = 24000 poundsWeight left for freezers:
66000 - 24000 = 42000 poundsNumber of freezers could be added:
42000/600 = 70Use the discriminant to describe the roots of each equation. Then select the best description.
2 = x2 + 5x
double root
real and rational root
real and irrational root
imaginary root
[tex]2 = {x}^{2} + 5x[/tex]
Arrange the expression into the standard form.[tex]0 = {x}^{2} + 5x - 2 \\ {x}^{2} + 5x - 2 = 0[/tex]
DiscriminantFrom the standard form equation and from the given equation.
[tex]a {x}^{2} + bx + c = 0 \\ a = 1 \: \: \: b = 5 \: \: \: c = - 2[/tex]
Discriminant Formula
[tex]D = {b}^{2} - 4ac[/tex]
Substitute the value of terms in the discriminant formula.
[tex]D = {(5)}^{2} - 4(1)( - 2) \\ D = 25 - 4( - 2) \\ D = 25 + 8 \\ D = 33[/tex]
Discriminant Types
[tex]D > 0 \: \: \: \: 2 \: \: real \: \: roots \\ D = 0 \: \: \: \: 1 \: \: real \: \: root \\ D < 0 \: \: \: imaginary \: \: roots[/tex]
We can rule out the Imaginary root and double root because the discriminant is greater than 0. Therefore, the only choices are either Irrational or Rational.
However, we cannot factor the expression by using two brackets or common factor. We can say that the equation has two real irrational roots.
Answerreal and irrational rootMarisol drove 3 hours from City A to City B. The equation below estimates the distance d, in
miles, Marisol traveled after driving for t hours.
d = 45t
Answer:
Step-by-step explanation:
D*RT
D=45*3
D=135
Marisol drove 135 MI.
The Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
According to the question
Marisol drove for from City A to City B = 3 hours
Equation below estimates the distance d, in miles for t hours.
d = 45t
now , substituting the value
d = 45 * 3
d = 135 miles
Hence, the Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .
To know more about Equation here:
https://brainly.com/question/10413253
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Which equations support the fact that rational numbers are closed under addition?
Select each correct answer.
+0.5 = 1
3/16 +3/16 = 6/16
35+ 5 = 415
V10 + (-V10) = 0
Answer:
3/16+3/16=6/16
Step-by-step explanation:
HOPE ITS HELP YOU
irrational numbers are closed under subtraction true/false
Answer:
False
Step-by-step explanation:
a+(-a)=a-a = 0 which means irrational numbers are not closed under addition or subtraction.
False. Irrational numbers are not closed under subtraction.
Given data:
Closure under subtraction means that if you subtract two irrational numbers, the result will always be another irrational number.
However, this is not true for irrational numbers.
For example, consider the irrational numbers √2 and √2 + √2. Both of these numbers are irrational. However, when we subtract √2 from √2 + √2, we get:
(√2 + √2) - √2 = √2
The result, √2, is still an irrational number. But if we subtract two irrational numbers like √2 from √2, we get:
√2 - √2 = 0
The result, 0, is a rational number, not an irrational number.
To learn more about irrational numbers, refer:
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which equation represents a line parallel to the y axis?
A: y=x
B: x=4
C: y=4
D: y=x+4
What does 8/y + 6 have in common with 8^y + 5?
A. they have the same value
B. both are binomial
C. both are trinomials
D. neither is a polynomial
Answer:
Answer is d because no is a polynomial
Kelly saved 4/5% of her allowance. What is this percent expressed as a fraction and as a
decimal?
Fraction:
Decimal:
Find the slope of the line that passes through (3,-7) and (-6,5).
Answer:
9,12?
Step-by-step explanation:
Given: а | b | c | d and KP = 24
FK
a
Find: KM =
Jane has 12 deck chairs and she has painted 1/4 of them yellow. How many are unpainted?
answer is 9
Step-by-step explanation:
12/4=3
1/4=3
3/4=9
what is F?
H is 5m
I is 8m
G is 10m
Answer: F is 11m.
Step-by-step explanation: Because H,I,G are all increasing their numbers like plus 3, plus 2, and the last one has to be plus 1.
You spent 25% of your monthly wages on rent. If you earned $75,350 last year,
how much did you spend on rent each month?
Select the correct answer. Which level of government relies the most on income tax?
Answer:
The Federal government relies the most on income tax.
Step-by-step explanation:
I WILL GIVE BRAINLESIT PLEASE I NEED HELP!!! 5a. When paying for a restaurant order, a customer spent $20.00 for a $17.00 meal. What percent was the tip? Round to the nearest tenth. 5b. When paying for a restaurant order, a customer's total for food was $30.00. What is a 18% tip for that total?
Answer:
5a. Tip was 17.65%
5b. Total was $35.4
Step-by-step explanation:
5a.
Create the following equation:
17 + 17x = 20
17x = 3
x = 3/17
5b.
Find 18% of 30.
30 x 0.18 = 5.4
Add 5.4 to 30.
30 + 5.4 = 35.4
"" Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 11, −9) and parallel to the line x = −1 + 3t, y = 6 − 3t, z = 3 + 7t
Find the tangent vector T to the given line (t) = 〈 x(t), y(t), z(t) 〉, with parametric equations,
x(t) = -1 + 3t
y(t) = 6 - 3t
z(t) = 3 + 7t
by differentiating (t) component-wise:
T = '(t) = 〈 dx(t)/dt, dy(t)/dt, dz(t)/dt 〉
T = 〈3, -3, 7〉
Scale T by any real number t to get the line through the origin (when t = 0) and the point (3, -3, 7) (when t = 1), which of course runs parallel to '(t). This gives the vector tT. Translate this by any vector v = 〈a, b, c〉 to force this line to pass through the point (a, b, c) instead of the origin, while still remaining parallel. You want the new line to pass through (0, 11, -9), so take v = 〈0, 11, -9〉.
Then the vector equation of the new line is
tT + v = t 〈3, -3, 7〉 + 〈0, 11, -9〉 = 〈3t, 11 - 3t, -9 + 7t〉
with parametric equations
x(t) = 3t
y(t) = 11 - 3t
z(t) = -9 + 7t
Six out of the 12 members of the school choir are boys. In simplest form, what fraction of the choir is boys?
Answer:
1/2
Step-by-step explanation:
Can someone help me?
Answer:
QR is 1.2 due to both triangle are similar
Answer:
the answer should be 0.96 units
Step-by-step explanation:
1.6/2.0=.8
.8x1.2= .96
In a farm, ratio of number of cows to number of hens is 2:3. If the number of legs is 40 more than number of eyes, total of how many hens are there in the farm?
Answer:
30 hens, 20 cows.
Step-by-step explanation:
Step one:
let the number of cows be x
and the number of hens be y
Each cow has 2 eyes, each hen has 2 eyes also.
the total number of eyes is
2x+2y
Each cow has 4 legs, each hen has 2 legs.
the total number of legs is
4x + 2y
Step two:
the number of legs exceeds the number of eyes by 40:
4x+2y - (2x+2y) = 40
open bracket
4x+2y-2x-2y=40
4x-2x=40
2x=40
Divide both sides by 2
x=40/2
x=20
Step three:
we know also that x = 2/3*y, so y = 3/2*x = 3/2 * 20 = 30
30 hens, 20 cows.
Check:
60 + 40 eyes = 100, 60 + 80 legs = 140legs.
Convert the following repeating decimal into a fraction. *
___
2.111
Answer: i think that the only fraction that we can convert this into is 2111/1000
Answer:
[tex]\frac{2111}{1000}[/tex]
Step by step:
2.111 = [tex]\frac{2.111}{1}[/tex]
then, get rid of the decimal sign in 2.111 by multiplying it by 1000 since there are 3 numbers after the decimal point.
your new fraction is [tex]\frac{2111}{1000}[/tex]
A closed box has a square base with side length feet and height feet. Given that the volume of the box is cubic feet, express the surface area of the box in terms of only.
Complete Question:
A closed box has a square base with side length L feet and height h feet. Given that the volume of the box is 39 cubic feet, express the surface area of the box in terms of L only.
Answer:
[tex]A = \frac{156}{L} + 2L^2[/tex]
Step-by-step explanation:
Given
[tex]Volume = 39ft^3[/tex]
Required
Express the surface area in terms of L
Because the box has a square base:
The volume is:
[tex]Volume = Base\ Area * Height[/tex]
Where
[tex]Base\ Area = L * L[/tex]
So, we have:
[tex]Volume = L * L * H[/tex]
Substitute 39 for Volume
[tex]39= L * L * H[/tex]
[tex]39= L^2 * H[/tex]
Make H the subject
[tex]H = \frac{39}{L^2}[/tex]
The surface area (A) of a box with square base is:
[tex]A = 2(LH + LH + L^2)[/tex]
[tex]A = 2(2LH + L^2)[/tex]
Open bracket
[tex]A = 4LH + 2L^2[/tex]
Substitute [tex]\frac{39}{L^2}[/tex] for H
[tex]A = 4L * \frac{39}{L^2} + 2L^2[/tex]
[tex]A = \frac{4L *39}{L^2} + 2L^2[/tex]
[tex]A = \frac{4*39}{L} + 2L^2[/tex]
[tex]A = \frac{156}{L} + 2L^2[/tex]