Here,
a+b=20
ab=50
we know that,
[tex]\tt{ (a+b)^2=a^2+b^2+2ab }[/tex] ⠀
According to the question,
[tex]\tt{(20)^2=a^2+b^2+2×50 }[/tex] ⠀
[tex]\tt{ 400=a^2+b^2+100 }[/tex] ⠀
[tex]\tt{ a^2+b^2=400-100 }[/tex] ⠀
[tex]\tt{a^2+b^2=300 }[/tex] ⠀
Answer:
a² + b² = 300
Step-by-step explanation:
a + b = 20 ; ab = 50
(a +b)² = a²+ b² + 2ab
a² + b² + 2ab = (a + b)²
a² + b² + 2*50 = (20)²
a² + b² + 100 = 400
a² + b² = 400 - 100
a² + b² = 300
What percentage of the students surveyed eat no more than 3 whole servings of fruits and vegetables daily
Answer:
Step-by-step explanation:
The missing histogram file is attached in the image below.
From the graph, deduce that:
the servings of fruits and vegetable number of students
0 1
1 4
2 5
3 10
4 8
5 3
6 0
7 1
Thus, the percentage of students surveyed that eat more than 3 whole servings is:
= starting from 4 = (8+3+0+1)/32 = 0.375
Find the unit rate. 210 miles in 7 hours
That means you need to find out how many miles are traveled in 1 hour.
Your answer should be written like this: ____ miles in 1 hour OR ____miles per hour OR ____ mph and you need to fill in the blank with your answer!
Answer:
the answer will be 30 mikes per hour
Step-by-step explanation:
A fish swims 30 miles every 5 hours. How many miles does the fish swim each hour?
A. 15 miles
B. 5 miles
C. 150 miles
D. 6 miles
Answer:
6 miles
Step-by-step explanation:
30 divided by 5 equals six, therefore six miles.
Answer:
i think it is 6
Step-by-step explanation:
you divided 30 by 5
an oil tank loses 32% of its contents every hour. Peter says the tank will have lost 95% of its original contents by the end of the sixth hour. Is peter correct
Answer:
it lose 90 percent in 3 hours so peter is incorrect
Step-by-step explanation:
8 Classes
G how to change you..
3. Using the graph provided determine the experimental probability,
expressed as a reduced fraction, of rolling 1 or 5 when a number cube is
rolled 50 times.*
20 points
Number Cube Experiment
14
12
10
10
9
8
6
Number of Rolls
O NO
6
2. 3
5
Number Showing
Answer:
14
Step-by-step explanation:
Ariana went shopping for a new video game. The listed price of the video game was
$36, but the price with tax came to $37.08. Find the percent sales tax.
Answer:
I think it should be around 0.03%
Step-by-step explanation:
hope that helps:)))
Answer:
3%
Step-by-step explanation:
Someone please help me with this question
Answer:
Jinsoul from Loona
Step-by-step explanation:
In order to solve this problem, you must do the famous math operation: Jinsoul from Loona
Have a nice day!
make b the subject of the formula a=squareroot of b+16
Step-by-step explanation:
a=
[tex] a = \sqrt{b + 16} \\ a { }^{2} = b + 16 \\ b = a {}^{2} - 16[/tex]
What c-value makes the set of ratios equivalent. HELP ASAP
Answer:
6 ---------> 2x : 48 = 3 : 12
9 ---------> 2 : 3 = 6 : x
16 --------> 12 : 15 = x : 20
24 -------> 4 : 7 = x : 42
Step-by-step explanation:
The scatter plot shows a correlation between the number of participants and the year of
the snowboarding competition.
The line of regression models that correlation.
Enter a number to complete each statement.
Answers:
In 2003, there were 32 ...
The model predicts ... 40 ...
... 8 below what the model predicted
In 2003, there were 32 ...
-> We find the x-axis of 2003 and look up until we hit the line, then we find the y-coordinate for that point
-> 32
The model predicts ... 40 ...
-> The green 8 with an arrow shows the prediction
-> 40 - 8 = 32
-> 40
... 8 below what the model predicted
-> The green 8 shows the difference in the prediction and the actual participation
-> 8
Please help me.
What is the equation of the line?
Answer:
[tex]y = \frac{-7}{3}x -12[/tex]
Step-by-step explanation:
Point-slope form is [tex]y-y_1= m (x-x_1)[/tex]. The [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] have to be substituted for with real values in order to make an equation of a line. From there, you can isolate [tex]y[/tex] to turn it into slope-intercept form.
1) First, let's find the slope of the line, which is represented by the variable [tex]m[/tex]. Use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values of one point, [tex]x_2[/tex] and [tex]y_2[/tex] are the x and y values of another point. For this problem, let's use the given points (-3, -5) and (-6, 2):
[tex]\frac{(2)-(-5)}{(-6)-(-3)} \\= \frac{2+5}{-6+3} \\= \frac{7}{-3}[/tex]
Thus, the slope is [tex]\frac{7}{-3}[/tex].
2) Now that we have the slope, let's substitute it into the point-slope formula. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point that the line intersects so you could either use (-3, -5) or (-6,2), but for this answer, I used (-6,2). (The answer will always be the same no matter which point you choose.) Substitute these values then isolate y to put it in slope-intercept form:
[tex]y-(2) = \frac{-7}{3} (x-(-6))\\y -2 = \frac{-7}{3} (x+6)\\y-2 = \frac{-7}{3}x-\frac{42}{3} \\y -2 = \frac{-7}{3}x-14\\y = \frac{-7}{3}x-12[/tex]
So, [tex]y = \frac{-7}{3}x -12[/tex] is the answer.
Find the unknown angle measure by solving for the given variable.
Answer:
10 1/2
Step-by-step explanation:
Help pls! 37 points.
Answer:
7 squares
Step-by-step explanation:
Key skills: Counting, Averages
1) Based on what I counted, there are 11 columns, and 53 squares. If you want an average of 5 squares per column and you have 12 columns, the total number of squares you want is 60.
2) Since there are already 53 squares present, you need 60-53 = 7 squares more.
Hope you understood and have a nice day!!
answer:
should be 7 squares.
Consider the monthly payment formula M=Pr(1+r)^n/(1+r)^n-1. what is the name of the formula you get if you solve for P? what about if you solve for n? what special function do you need to use when solving for n?
WRITTEN RESPONSE QUESTION PLEASE ANSWER ASAP WILL AWARD BRAINLIEST.
Answer:
0.0061
Step-by-step drip check:
The name of the formula you get if you solve for P could be "Principal (loan amount)" "Term of the loan (in months)" or "Number of monthly payments"
Logarithms;
[tex]n = \dfrac{ ln[1 - \dfrac{Pr}{M} ]}{ln(1+r)}[/tex]
What is Monthly Payment Formula?Consider the monthly payment formula
[tex]M= \dfrac{Pr(1+r)^n}{(1+r)^n-1}[/tex]
where: M = monthly payment.
P = principal loan amount.
r = interest rate per month (in decimal form).
n = term of the loan (in months).
If we will solve for P, the name of the formula is "Principal (loan amount)".
If we solve for n, the formula is "Term of the loan (in months)" or "Number of monthly payments".
When solving for n, we have to use logarithms:
[tex]M (1+r)^n-1=Pr(1+r)^n\\\\\dfrac{1}{ (1+r)^n} = 1 - \dfrac{Pr}{M} \\\\ln\dfrac{1}{ (1+r)^n} = ln[1 - \dfrac{Pr}{M} ]\\\\\\n = \dfrac{ ln[1 - \dfrac{Pr}{M} ]}{ln(1+r)}[/tex]
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Find the perimeter of the figure to the right
6 yards
8 4/5 yard
9 2/3 yards
8 yards
List the number from least to greatest.
Answer:
1. $1430
2. $930
3. $1070
4. 105
96
-20
-76
-560
Andrea paid $60.75 for 9 sandwiches. Each sandwich costs the same amount.
Use the drop down menus to write an equation for the price, p, of one sandwich.
P x _______=____??
Answer:
Px9=60.75
Step-by-step explanation:
what is 25% of 12???
Answer:
3
Step-by-step explanation:
%25 is 1/4
1/4 of 12 is 3
Answer:
3
Step-by-step explanation:
25% is equal to 1/4. Of means multiply. Therefore, you would just multiply 1/4 and 12. Your answer should be 3.
please help on the last question im gonna do 40 points
HELP PLEASE IF GET RIGHT I WILL GIVE BRAINLIST
Answer:
y=-3/2x+3
Step-by-step explanation:
y intercept is 3 and the slope is going down so its negative
put the numbers in
order
2.6
6.2
2.06
0.62
Answer:
Put the numbers in
order
2.6
6.2
2.06
0.62
Step-by-step explanation:
Answer:
If your looking for the answers from least to greatest it goes,
0.62, 2.06, 2.6, 6.2
Which equation best represents the weight, w, of this alligator, n, weeks after hatching?
Answer:pretty sure its 0.25n+6
Step-by-step explanation: that seems the most reasonable
please help ASAP 25 pts + brainliest, please show or explain answer
Answer:
B. .60
Step-by-step explanation:
With reference angle A
perpendicular (p) = 6
hypotenuse (h) = 10
Then
Sin A
= p/h
= 6 / 10
= 0.6
Answer:
Option B
Step-by-step explanation:
We know that
[tex] \sin( \alpha ) = \frac{side \: opposite \: to \: \alpha }{hypotenuse \: of \: triangle} [/tex]
where [tex] \ alpha [/tex] is an angle of a triangle.
In the triangle given above , [tex] \ alpha = angle A [/tex]. So,
[tex] \sin(a) = \frac{6}{10} = 0.60[/tex]
PLS HELP PLSPLSPLS thank you!!!!
An angle measures 80° less than the measure of its complementary angle. What is the measure of each angle
Answer:
let the angle be x and the complementary angle be y
so, x+y=90 and given,
x=y-80
solving both the equations,
x = 5
y = 85
so the angles are 5 and 85
What is 10x9 and 9x10
Answer:
90 for both of them
Answer:
90
Step-by-step explanation:
1+1+1+1+1+1+1+1+1=9 then add a 0
Solve for x x/12+6=8
x=
Answer:
X=24
Step-by-step explanation:
X/12 + 6 = 8
we can multiply the equation to 12 to make it simple. We get:
X + 72 = 96
So X = 96-72=24
On a coordinate plane, point A is 7 units to the left. Point B is at (0, 0). Point C is 7 units to the right. Point D is 7 units up .Point E is 7 units down.
Which point is located at (0, –7)?
Answer:
E
Step-by-step explanation:
The point (0, 7) in located in the 1st quadrant
2.7.–2.5 = 6.75
A . agree
b. disagree; a negative times a negative is positive
C. disagree; a positive times a negative is negative.
PLEASE answer quick
Y=2x^2 - 8x+3 graph the equation
Answer:
Graph is below.
Step-by-step explanation:
The solutions of the equations are : x = [8 ± √ 40] / 4
Given,
Y=2x² - 8x+3
Now,
To get the solution of equation equate it to 0 .
2x² - 8x+3 = 0
By quadratic formula,
x = -b ± √ b² - 4ac/2a
Substitute the values in the formula,
x = [8 ± √ 64 - 4(2)(3)] / 2* 2
x = [8 ± √ 40] / 4
Now plot the points in the graph. The graph is attached below.
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