Answers
Answer:
19
Step-by-step explanation:
note that
(a + b)² = a² + b² + 2ab , that is
a² + b² + 2ab = (a + b)² ← subtract 2ab from both sides
a² + b² = (a + b)² - 2ab
= 5² - 2(3)
= 25 - 6
= 19
Answer:
19
Step-by-step explanation:
since value of both a+b and a*b are given
formula for a^2 + b^2 is (a+b)^2-2*a*b
Substituting those value,
a^2+b^2=5^2-2*3
i.e. 25-6
=19
Related Questions
Help plz I really need it
Answers
Answer:
translation then reflection
Step-by-step explanation:
Solve: (3/4) divided by 6 (2/3)
Answers
Answer:
0.1875
Step-by-step explanation:
3/4/6(2/3)
3/4/12/3
3/4/4
0.75/4
=0.1875
can someone help me on this one
Answers
Guys I am going to run out of points. Help with 19?
I don't need an explanation.
Answers
Answer:
A.) 20x + 2y = 500
B.) y-intercept = 250; its meaning is how many boxes of pencils they started with.
C.) x-intercept = 25; How many T-shirts they can sell at most
Step-by-step explanation:
2y - 500 = -20x
20x + 2y - 500 = 0
20x + 2y = 500
y-intercept = 250; its meaning is how many boxes of pencils they started with.
20x + 2y = 500
20(0) + 2y = 500
2y = 500
2y/2 = 500/2
y = 250
x-intercept = 25; How many T-shirts they can sell at most
20x + 2y = 500
20x + 2(0) = 500
20x = 500
20x/20 = 500/20
x = 25
Mario is tracking the progress of his plant's growth. After 4 days the plant was 5 cm high. 13 days later the plant was 18.5 cm tall.
What is the rate of growth of the plant?
How tall was the plant when Mario planted it?
How tall will the plant be after 20 days?
Answers
Answer:
sjdhdjdbdkendbdidjdnd
I need help with this question plsss
Answers
Answer: maybe its 6
Step-by-step explanation:
i think its 6 because it has +3 so maybe adding 3+3
The bank agrees to give you a loan of $7,000 with 1% simple interest over 2 years. How much will your monthly payments be?
Answers
Answer:
25550 is The Answer i think
Liam owns a small business selling bagels. He knows that in the last week 60 customers paid cash, 24 customers used a debit card, and 24 customers used a credit card. Based on these results, express the probability that the next customer will pay with a debit card as a percent to the nearest whole number.
Answers
Given :
Liam owns a small business selling bagels. He knows that in the last week 60 customers paid cash, 24 customers used a debit card, and 24 customers used a credit card.
To Find :
Based on these results, express the probability that the next customer will pay with a debit card as a percent to the nearest whole number.
Solution :
Probability that next person will pay with a debit card in percentage is :
[tex]P = \dfrac{\text{Number of customer used debit card}}{\text{Total number of customers}}[/tex]
[tex]P = 100\times \dfrac{24}{60 + 24 + 24}\\\\P = 100 \times \dfrac{24}{108}\\\\P = 22 \ \%[/tex]
Hence, this is the required solution.
Answer:51
Step-by-step explanation:
Please answer this question, worth ten points
Answers
Answer: 39.9
Step-by-step explanation: 9.5×4.2
Answer:
The answer is 39.9
Step-by-step explanation:
The formula for a parallelogram is base multiplied by height so 9.5 × 4.2 is equal to 39.9 :) hope this helps
George is buying peaches and kiwis. He buys p peaches at $4.29 each and k kiwis at $2 each. What expression would you write to show the total cost of the peaches and kiwis?
Answers
Answer:
Step-by-step explanation:
the total cost, c will be
c= p(4.29)+k(2)
An economist in Kenya argued that 3.5% of all SMES would file for bank loans next year. For a random sample of 100SMES estimate the probability that at least 3 will file bank loans next year
Answers
Answer: 0.6841
Step-by-step explanation:
Given: Probability of all SMES would file for bank loans next year = 3.5% = 0.035
Sample size : n = 100
Binomial probability distribution formula :
[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]
The probability that at least 3 will file bank loans next year :
[tex]P(x\geq3)=1-P(x<3)\\\\=1-(P(x=0)+P(x=1)+P(x=2))\\\\=1-(^{100}C_0(0.035)^0(1-0.035)^{100}+\ ^{100}C_1(0.035)^1(1-0.035)^{99}+^{100}C_2(0.035)^2(1-0.035)^{98})\\\\=1-(0.3159)\\\\=0.6841[/tex]
Hence, the required probability= 0.6841
Please help me, I am bad at math so please help
A gum tree reached a height of 150 ft in 15 years. Cathy and Darla write different equations to find the yearly average growth g of the tree. Cathy writes 15g = 150. Darla writes 150/15 = g. Do these equations have the same solution? Explain.
Answers
Answer:
Yes, they have the same answer because because 150/15 = 10 and in the equation 15g = 150, you have to solve it by dividing 150 by 15 which gets 10. Therefor, they are the same.
Step-by-step explanation:
Answer: They have the same solution.
Step-by-step explanation: 15g=150 has an answer of 10 ft. (divide 150 by 15 to get g alone.) 150/15=g has an answer of 10 as well. (Simplify to find g.)
Ben gets 5 more presents than his naughty little sister Gwen this holiday season. If together they receive 21 presents, how many
presents does each kid receive?
Answers
9514 1404 393
Answer:
Ben: 13Gwen: 8Step-by-step explanation:
The given relations give rise to two equations:
b = g + 5
b + g = 21
Using the first to substitute for b in the second, we have ...
(g +5) +g = 21
2g = 16 . . . . . . . subtract 5
g = 8 . . . . . . . . . divide by 2
b = 8 +5 = 13
Ben got 13 presents; Gwen got 8.
Trent saved up $500 for summer vacation. If he spends $25 a week for eight weeks, how much money does he have left? Explain? (Can somebody help plz- )
Answers
Answer:300
Step-by-step explanation:
25*8 =200
500-200=300
Answer:
$300
Step-by-step explanation:
25 a week for 8 weeks is a total of 25*8 or 200 so he spent $200
500 - 200 is 300 so he has $300 left
A truck driver has to make a delivery at a location that is 230.2 miles away. She drives an average of 55 miles each hour for 3.25 hours. If the truck driver continues at the same speed, will she make it to the location in the next hour?
and how many does she or he have to go
Answers
Answer:
The driver will make it to the location in the next hour
Step-by-step explanation:
First, find how many miles they traveled in 3.25 hours, by multiplying 55 by 3.25:
55(3.25)
= 178.75
Then, add 55 to this to see if the driver will make it in the next hour:
178.75 + 55
= 233.75
Since this is greater than 230.2, this means they will make it to the location.
So, the driver will make it to the location in the next hour.
Answer:
Yes
Step-by-step explanation:
Since the truck driver is going at an average speed of 55 miles per hour and has already driven for 3.25 hours that means she has already covered a distance of ...
55 * 3.25 = 178.75 miles
If she continues at the same speed and travels for one more hour that means that she would cover another 55 miles which would put her at a total distance of ...
178.75 + 55 = 233.75 miles
Therefore, the answer would be Yes she would arrive at her location. ;)
Use the diagram of a prism to answer the question. 4 cm, 2 cm, 3 cm. What is the total surface area of the prism?
Answers
Answer:
52cm3
Step-by-step explanation:
in 2010 an item cost $200. The price increase by 1.5% each year. How much wil it cost in 2030?
Round
your
answer to the nearest cent.
Answers
Step-by-step explanation:
Let P be price after t year . From the formula of compounding
P = 9 (1.015)^t
Taking log to the base e on both sides
ln P = ln 9 + t ln 1.015
= (2.197 + .0149t )
P = e^{(2.197+.0149t)}
what are the common multiple of 4 and 6 between 1 and 42
Answers
Answer: 300
Step-by-step explanation:
Which system of linear inequalities is represented by the
graph?
O y > x-2 and x- 2y < 4
O y > + 2 and x + 2y < 4
Oy>X-2 and x+ 2y < 4
Oy>x-2 and x +2y<-4
Answers
Answer:
y > x - 2.
2*y + x < 4
The correct option is the third one.
Step-by-step explanation:
First let's find the red shaded part.
We can see that the shade is above the line, then we will have something like:
y > a*x + b
where a*x + b is the equation for the line.
a is the slope, and b is the y-intercept.
In the graph, we can see that the line intercepts the y-axis at y = -2, then we have:
b = -2
To find the slope we need two points of the line, we can use the points (0, -2) and (2, 0)
We know that for a line that passes through the points (x1, y1) and (x2, y2) the slope is:
a = (y2 - y1)/(x2 - x1)
Then for this line, the slope will be:
a = (0 - (-2))/(2 - 0) = 2/2 = 1
Then the equation for this line is:
1*x - 2
And the inequality is:
y > x - 2.
Now for the blue one, the shaded part is below the line, then we will have:
y < a*x + b
In this case, the y-intercept is y = 2.
And we can see that this line passes through the points (0, 2) and (4, 0)
Then the slope is:
a = (0 - 2)/(4 - 0) = -2/4 = -1/2
Then this inequality is:
y < (-1/2)*x + 2
If we rewrite this as the ones shown in the options, we have:
y < (-1/2)*x + 2
2*y < -x + 2*2
2*y + x < 4
Then the two inequalities are:
y > x - 2.
2*y + x < 4
Then the correct option is the third one:
The system of linear inequalities y > x - 2 and x + 2y < 4 is represented by the graph
InequalityInequality is an expression that shows the non equal comparison of two or more numbers and variables
Given the inequalities y > x - 2 and x + 2y < 4, plotting the two inequalities using the geogebra online graphing tool.
The solution of the inequality on the graph is the very dark region.
Find out more on Inequality at: brainly.com/question/24372553
5 more than the product of 23 and a number n
Answers
Answer:
23n +5
Step-by-step explanation:
break down the expression into parts
5 more is +5
product is multiplication of 23 and n so 23n
then put it together
please give thanks :)
Consider this equation: 9x - 7 - 3x + 9 = x + 7 + 5x + 9. How many solutions does this equation have?
Answers
Step-by-step explanation:
9x - 7 - 3x + 9 = x + 7 + 5x + 9
6x + 2 = 6x + 16
2 = 16
Since 2 = 16 is false, there exist no real solutions for x.
Final Answer: No Solution. The equation would have 0 solutions.
Steps/Explanations:
Hey there! The answer is No Solution because -7 = 7. If 7 = 7, then it would be true and have one solution, which is not the case here.
Step 1: You should cancel [tex]9[/tex] on both sides.
[tex]9x - 7 - 3x = x + 7 + 5x[/tex]
Step 2: Simplify [tex]9x - 7 - 3x[/tex] to [tex]6x - 7[/tex].
[tex]6x - 7 = x + 7 + 5x[/tex]
Step 3: Simplify [tex]x + 7 + 5x[/tex] to [tex]6x + 7[/tex].
[tex]6x - 7 = 6x + 7[/tex]
Step 4: You'll need to cancel [tex]6x[/tex] on both sides.
[tex]- 7 = 7[/tex]
Step 5: Since [tex]-7 = 7[/tex] is false, there would be no solution.
No Solution
~I hope I helped you :)~
if the length of two sides of a triangle are 7 and 10 the length of the third side may be
A. 1
B.3
C.2
D.4
explain
Answers
Answer:
D. 4
Step-by-step explanation:
Let's look at all the options first. All of the options are below 7 and 10, hence we can deduce that it is not the hypotenuse. Looking at 7 and 10, we see that 10 is the larger number, and hence we know that 10 is the hypotenuse.
Hence, as the other two sides added up in a triangle must be larger than the hypotenuse, the only available option is 4, since 4 + 7 = 11 > 10.
Hope this helped!
solve this equation 3.5z – 2.7z = –6
Answers
Answer:
z=-7.5
Step-by-step explanation:
Answer:
z = -7.5
Step-by-step explanation:
First you have to simplify the equation:
0.8z = -6
Then you have to isolate the z, and to do so you have to divide both sides by 0.8.
0.8/0.8z = -6/0.8
The answer then comes out to be z = -7.5
please solve for x
-377=x-1,000
Answers
Answer:
623
hope this helped?
Use the graph to solve the system of linear equations.
x - y = 4
4x + y = 1
Answers
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The value of x and y is 1 and -3.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4y = 6 is an equation.
2x = 4 is an equation.
4x - 6x + 6x = 6 is an equation.
We have,
x - y = 4 _____(1)
4x + y = 1 _____(2)
From (1) we get,
x = 4 + y ____(3)
Putting (3) in (2) we get,
4x + y = 1
4 (4 + y) + y = 1
16 + 4y + y = 1
16 + 5y = 1
Subtract 16 on both sides.
5y = 1 - 16
5y = -15
Divide both sides by 5.
y = -3
Now,
Putting y = -3 in (3) we get,
x = 4 + y
x = 4 - 3
x = 1
Thus,
The value of x and y is 1 and -3.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
pls help needed asap
Answers
what is the value of -2 1/6 - 1 1/4 + 1 3/4
Answers
Answer:
Step-by-step explanation:
-2 1/6-1 1/4 +1 3/4
[tex]=-\frac{13}{6} -\frac{5}{4} +\frac{7}{4} \\(L.C.M. ~of ~6,4,4=12)\\=\frac{-26-15+21}{12} \\=-\frac{20}{12}\\=-\frac{5}{3} \\=-1 \frac{2}{3}[/tex]
Use the pencil,plot the point (3 1/2, 2 3/4)
Answers
Answer:
The diagram of the plotting point [tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex] is attached below.
Step-by-step explanation:
Given the points
[tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)[/tex]
as
[tex]3\frac{1}{2}=\frac{7}{2}=3.5[/tex]
[tex]2\frac{3}{4}=\frac{11}{4}=2.75[/tex]
so the point can be visualized as:
[tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex]
Now, we can check the point x = 3.5, and determine the corresponding value y = 2.75 and plot the point at the location (x, y) = (3.5, 2.75)
The diagram of the plotting point [tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex] is attached below.
For the diagram below let m∠1 = (7x + 5)°, m∠2 = (9x − 8)°, and m∠3 = (11x − 15)°. A triangle with exterior angles 1, 2, 3. Complete the work shown to find the m∠3. Set the sum of the exterior angles to 360° and solve for x. 7x + 5 + 9x − 8 + 11x − 15 = 360 27x − 18 = 360 27x = 378 x = 14 Substitute the value of x into the expression that represents mAngle3. mAngle3 = 11(14) – 15 mAngle3 = °
Answers
Answer:
139
Step-by-step explanation:
Answer:
I put 139 and got it right!
Step-by-step explanation:
hope this helps :)
The population of bears in a national forest is changing according to the function N(t)=850(1.04)t , where t is the time in years, and N(t) is the number of bears. Which statement explains how the bear population is changing?
Answers
Answer:
The statement is that the population increases at a rate of 4% per year
Step-by-step explanation:
The function is given as;
N(t) = 850(1.04)^t
The general equation form for a representation as this is;
P = I(1 + r)^t
Where I is the initial value and P is the present value
r is the rate of increase
t is the time
Thus, we have that;
1 + r = 1.04
r = 1.04-1
r = 0.04
0.04 is same as 4/100 which is same as 4%
So the statement about how the population of bear is changing is that the population increases at a rate of 4% each year