The sum of the squares of two positive numbers is 41 and the difference of the two squares of the numbers is 9. Find the numbers. If there is more than one pair, use the "or" button.

Answers

Answer 1

Answer:

Step-by-step explanation:

41


Related Questions

Help&EXPLAIN
=============

Answers

Answer:

133

Step-by-step explanation:

No: of figures = 3

Fig 1 = l x b = 12 x 6 = 72

Fig 2 = l x b = 13 x 5 = 45

Fig 3 = s xs = 4x 4 = 16

Fig area=  fig 1+ fig 2+fig 3 = 72+45+16 = 133

Jared bought a 15-pound bag of turkey for
Thanksgiving. His family ate 6 pounds of
the food on the morning of Thanksgiving
and 4% for dinner. Jared decided to use 2
of the remaining turkey to make
sandwiches for lunch. How much turkey, in
pounds, did Jared use to make
sandwiches?

Answers

Answer:

6 jared used six pounds

Step-by-step explanation:

you have it aubtexact what he used the first night and then divide by 4percwnt

Find the area of the following figure:

Answers

Answer:

A = 178 cm^2

Step-by-step explanation:

Split the figure into a trapezoid and a rectangle

Area of trapezoid:

A = ((a+b)/2)*h

A = ((14+8)/2)*10

A = 150

Area of rectangle:

A = w*h

A = 2*14

A = 28

150+28

A = 178 cm^2

2 numbers have a product of 50 and also have a sum of 14 what are the two numbers x •x and x+x

Answers

Answer:

32 and 18

Step-by-step explanation:

This is a question of simultaneous equation.

Let's say the two numbers are x and y.

ATQ,

x+y =50 ——I

x-y=14——II

On adding I and II,

We get 2x=64

Implying x=32

Putting the value of x in equation I,

32+y=50

y=50–32

=18.

The answer is 32 and 18

For married couples living in a certain suburb, the probability that the husband will vote on a bond referendum is 0.21, the probability that the wife will vote on the referendum is 0.28, and the probability that both the husband and the wife will vote is0.15.
A) What is the probability that at least one member of a married couple will vote?
B) What is the probability that a wife will vote, given that her husband will vote?
C) What is the probability that a husband will vote, given that his wife does not vote?

Answers

Answer:

a) 0.34 = 35% probability that at least one member of a married couple will vote.

b) 0.7143 = 71.43% probability that a wife will vote

c) 0.0968 = 9.68% probability that a husband will vote

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

This is used for itens B and C. For item a, we treat the probabilities as Venn sets.

A) What is the probability that at least one member of a married couple will vote?

I am going to say that:

Event A: Husband votes.

Event B: Wife votes.

The probability that the husband will vote on a bond referendum is 0.21

This means that [tex]P(A) = 0.21[/tex]

The probability that the wife will vote on the referendum is 0.28

This means that [tex]P(B) = 0.28[/tex]

The probability that both the husband and the wife will vote is 0.15.

This means that [tex]P(A \cap B) = 0.15[/tex]

At least one votes:

This is [tex]P(A \cup B)[/tex], which is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cup B) = 0.21 + 0.28 - 0.15[/tex]

[tex]P(A \cup B) = 0.34[/tex]

0.34 = 35% probability that at least one member of a married couple will vote.

B) What is the probability that a wife will vote, given that her husband will vote?

Here, we use conditional probability:

Event A: Husband votes:

Event B: Wife votes

The probability that the husband will vote on a bond referendum is 0.21

This means that [tex]P(A) = 0.21[/tex]

Intersection of events A and B:

Intersection between husband voting and wife voting is both voting, which means that [tex]P(A \cap B) = 0.15[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.21} = 0.7143[/tex]

0.7143 = 71.43% probability that a wife will vote.

C) What is the probability that a husband will vote, given that his wife does not vote?

Event A: Wife does not vote.

Event B: Husband votes.

The probability that the wife will vote on the referendum is 0.28

So 1 - 0.28 = 0.62 probability that she does not vote, which means that [tex]P(A) = 0.62[/tex]

Probability of husband voting and wife not voting:

0.21 probability husband votes, 0.15 probability wife votes, so 0.21 - 0.15 = 0.06 probability husband votes and wife does not, so [tex]P(A \cap B) = 0.06[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.62} = 0.0968[/tex]

0.0968 = 9.68% probability that a husband will vote

Three hermit crabs at a pet store cost $ 21.75 . If each hermit crab, h , costs the same amount, which equation can be used to find the cost per hermit crab correctly?

Answers

Answer:

Step-by-step explanation:

$21.75/(3 crabs) = $7.25/crab

a line that separates the plane into two regions​

Answers

Answer:

Two-Half Planes. Or, You can Call it a Boundary line.

Step-by-step explanation:

Answer:

half-planes or boundary region

Step-by-step explanation:

which expression is equivalent to (5m) ^3

Answers

Answer:

5m•5m•5m

Step-by-step explanation:

so you  multiply the factor by itself as many times as the exponent says so if the factor is 5m you would multiply it by the exponent which in this case is 3

5m.5m.5m and 125m³  is the equivalent expressions of the expression (5m)³.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is (5m)³

We have to find the equivalent expression of (5m)³

Equivalent expressions are expressions that work the same even though they look different

(5m)³ can be written as 5m.5m.5m

The value of five cube is one hundred twenty five.

125m³

Hence, 5m.5m.5m and 125m³  is the equivalent expressions of the expression (5m)³.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Can someone answer
q^8÷q^2​

Answers

Answer:

q^6

Step-by-step explanation:

Jamal reads for 1/2 hour on Monday and 1/3 hour on Tuesday.how much more did he read on Monday than on Tuesday?​

Answers

Answer:

1/6 hour, or 10 minutes

Step-by-step explanation:

This is a subtraction problem.

1/2 - 1/3 =

We need a common denominator for 2 and 3. We can use 6.

= 1/2 * 3/3 - 1/3 * 2/2

= 3/6 - 2/6

= 1/6

Answer: 1/6 hours, or 10 minutes

For the following pair of functions, find (f+g)(x) and (f-g)(x).
f(x)= 4x2 + 7x-5 and g(x)= - 9x² + 4x - 13
(f+g)(x) = 0
(Simplify your answer. Type in descending order.)
(f-g)(x) =
(Simplify your answer. Type in descending order.)

Answers

Given:

The functions are

[tex]f(x)=4x^2+7x-5[/tex]

[tex]g(x)=-9x^2+4x-13[/tex]

To find:

The functions [tex](f+g)(x)[/tex] and [tex](f-g)(x)[/tex].

Solution:

We know that,

[tex](f+g)(x)=f(x)+g(x)[/tex]

[tex](f+g)(x)=4x^2+7x-5-9x^2+4x-13[/tex]

[tex](f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)[/tex]

[tex](f+g)(x)=-5x^2+11x-18[/tex]

And,

[tex](f-g)(x)=f(x)-g(x)[/tex]

[tex](f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)[/tex]

[tex](f+g)(x)=4x^2+7x-5+9x^2-4x+13[/tex]

[tex](f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)[/tex]

[tex](f-g)(x)=13x^2+3x+8[/tex]

Therefore, the required functions are [tex](f+g)(x)=-5x^2+11x-18[/tex]

and [tex](f-g)(x)=13x^2+3x+8[/tex].

Please help me if u don’t I will get a bad grade‼️

Answers

Given:

The equation is

[tex]\dfrac{1}{3}x=\dfrac{1}{5}[/tex]

To find:

The coefficient and reciprocal.

Solution:

We have,

[tex]\dfrac{1}{3}x=\dfrac{1}{5}[/tex]

Here, [tex]\dfrac{1}{3}[/tex] is multiplied with x.

So, the coefficient of x is [tex]\dfrac{1}{3}[/tex].

To find the reciprocal, we need to interchange numerator and denominator of a fraction.

So, the reciprocal of [tex]\dfrac{1}{3}[/tex] is [tex]\dfrac{3}{1}=3[/tex]

Therefore, the reciprocal is 3.

If Danny earned $1,000 on a 4 year investment at a rate of 6%, how much was his original investment?

Answers

Answer:

$4,166,67

Step-by-step explanation:

A company manufacturing computer chips finds that 8% of all chips manufactured are defective. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate. Which of the following statement is true about this hypothesis test?
A. It is a two tailed test about a proportion.
B. It is a one tailed test about a mean.
C. It is a one tailed test about a proportion.
D. It is a two tailed test about a mean.
E. None of the above.

Answers

Answer:

A. It is a two tailed test about a proportion

Step-by-step explanation:

We are given;

Population proportion; p= 8% = 0.08

Sample size; n = 450

Defective ones in the sample = 27

Sample proportion; p^ = 27/450 = 0.06

Let's define the hypotheses.

Null Hypothesis; H0: p = 0.08

Alternative hypothesis;Ha: p ≠ 0.08

≠ is used for the alternative hypothesis because we can't really ascertain if the training was going to make things worse.

Thus, this is a two tailed hypothesis test about a proportion.

A contractor is planning the acquisition of bulldozers needed for a new project in a remote area. From prior experience with this equipment he estimates that there is a 60% chance that each bulldozer will be operational for at least six months. If he purchases four bulldozers, it is desired to calculate the probabilities that exactly: 0, 1, 2, 3, and 4 bulldozers will be operational at the end of six months. Please document the following information:

a. Count the number of possible outcomes of the status of each bulldozer at the end of six months:
b. List the five events listed above as a function of the status of each bulldozer at the end of six months documented in 1.); and
c. Calculate the probabilities of these events assuming that the status of each bulldozer is statistically independent of the status of the rest of bulldozers.

Answers

Answer:

0.0256 ; 0.1536 ; 0.3456 ; 0.3456 ; 0.1296

Step-by-step explanation:

P, that each bulldozer will be operational for atleast 6 months = 0.6

p = 0.6 ; q = 1 - p = 1 - 0.6 = 0.4

Number of bulldozers purchased, n = 4

Probability that :

Exactly 0 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 0) = 4C0 * 0.6^0 * 0.4^4

P(x = 0) = 1 * 1 * 0.0256

P(x = 0) = 0.0256

Probability that :

Exactly 1 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 1) = 4C1 * 0.6^1 * 0.4^3

P(x = 1) = 4 * 0.6 * 0.064

P(x = 1) = 0.1536

Probability that :

Exactly 2 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 2) = 4C2 * 0.6^2 * 0.4^2

P(x = 2) = 6 * 0.36 * 0.16

P(x = 2) = 0.3456

Probability that :

Exactly 3 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 3) = 4C3 * 0.6^3 * 0.4^1

P(x = 3) = 4 * 0.216 * 0.4

P(x = 3) = 0.3456

Probability that :

Exactly 4 bulldozer will be operational at the end of 6 months :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 4) = 4C4 * 0.6^4 * 0.4^0

P(x = 1) = 1 * 0.1296 * 1

P(x = 1) = 0.1296

Three different accounts are described below.order the accounts according to their values after 10 years ,from greatest to least

Answers

Answer:

3.You deposit $1000 in an account that earns 9% annual interest compounded semiannually.

1. You deposit $950 in an account that earns 9% annual interest compounded daily.

2. You deposit $1000 in an account that earns 8% annual interest compounded daily.

4. You deposit $1000 in an account that earns 10% simple interest.

Step-by-step explanation:

P.S - The exact question is -

To find - Three different accounts are described below. Order the accounts  

             according to their values after 10 years, from greatest to least.

             1. You deposit $950 in an account that earns 9% annual

                 interest compounded daily.

            2. You deposit $1000 in an account that earns 8% annual

                 interest compounded daily.

             3.You deposit $1000 in an account that earns 9% annual

                 interest compounded semiannually.

              4. You deposit $1000 in an account that earns 10% simple interest.

Proof -

1.)

Value after 10 years = 950( 1 + 0.09)¹⁰

                                 = 950 ( 1.09)¹⁰

                                 = 950(2.37) = 2248.995

⇒Value after 10 years = 2248.995

2.)

Value after 10 years = 1000( 1 + 0.08)¹⁰

                                 = 1000 ( 1.08)¹⁰

                                 = 1000(2.159) = 2158.925

⇒Value after 10 years = 2158.925

3.)

As it is compounded semiannually , so time period is doubles and rate goes half.

Value after 10 years = 1000( 1 + 0.045)²⁽¹⁰⁾

                                 = 1000 ( 1.045)²⁰

                                 = 1000(2.412) = 2411.714

⇒Value after 10 years = 2411.714

4.)

Value after 10 years = 1000×[tex]\frac{10}{100}[/tex]×10 = 1000

∴ we get

2411.714 > 2248.995 > 2158.925 > 1000

⇒ 3.) > 1.) > 2.) > 4.)

So,

3.You deposit $1000 in an account that earns 9% annual interest compounded semiannually.

1. You deposit $950 in an account that earns 9% annual interest compounded daily.

2. You deposit $1000 in an account that earns 8% annual interest compounded daily.

4. You deposit $1000 in an account that earns 10% simple interest.

Subtract. (12+8i)−(7+4i) Enter your answer in the box.

Answers

Answer:

5+12i

Step-by-step explanation:

So 12-7 = 5 and 8i+4i=12i and that equals 5+12i

(12 + 8i) -(7 +4i)
(12 - 7) + (8i - 4i)
5 + 4i

Write the equation of the line in slope intercept from that: Has a slope of m= −2 and goes through (1, 2). please help

Answers

Answer:

y=-2x+4

Step-by-step explanation:

What is the percent of increase from 5,000 to 7,000?

Answers

Answer:

40%

Step-by-step explanation:

The following are the temperatures of 10 days in winter in °C. -5, 1, -2, 7, -3, 9, 7, -5, -2, -5 Work out the mean temperature.

Answers

Answer:

probably 0.2 and sorry if wrong

0.2 because

mean = adding all numbers together then divide by the amount of numbers there is
so -5 + 1 + -2 +7+-3+9+7+-5+-2+-5 = 2 then divide by 10 (cause 10 numbers)
answer = 0.2

Antonio eats 1 slice of pizza in 3 minutes. How long will it take Antonio to eat 4 slices?​

Answers

Answer:

12

4*3

That's the answer

Sujan bought 16 pens for Rs256. how much would he have to pay for one pen he buys next time?

Answers

Step-by-step explanation:

.......................

Answer:

Rs 16

Step-by-step explanation:

Amount of money paid for 16 pens = Rs 256

Amount of money paid for 1 pen =

[tex] \frac{256}{16} = \frac{128}{8} \\ = \frac{64}{4} = \frac{32}{2} \\ = \frac{16}{1} \\ [/tex]

Therefore, amount paid for one pen is Rs 16

-9.4 - 1.4b = b + 0.2
a) no solution
b) -6.7
c) 2.1
d) -4

Answers

Answer:

d) -4

Step-by-step explanation:

-9.4 - 2.4b = 0.2

-2.4b = 9.6

b = -4

good luck, i hope this helps :)

A. Add the following integers.
11.7 + 9 =
12. - 9+ (- 10 ) =
13. (- 14 ) + 5 =
14.9+(-14) =
15.-5+ (-8)=​

Answers

Answer:

11. 16

12. -19

13. -9

14. -5

15. -13

Step-by-step explanation:

Save me Ill give brainliest!!! :)

Answers

Answer:

6/7

Step-by-step explanation:

Answer:

(t+6) × u

hope this helps!!

y=2x-1
y=1/2x+4
find the solution to the system equations

Answers

Answer:

x=10/3 y=17/3

Step-by-step explanation:

Use substitution to solve your equation. Plug in y=2x-1 into y=1/2x+4. This makes (2x-1)=1/2x+4. Simplify this to get 3/2x-1=4. Simplify it again to get 3/2x=5. No one likes fractions so multiply both sides by 2 to get 3x=10. Simplify this and get x=10/3. Plus 10/3 into one of the equations. You can pick anyone but I picked y=2x-1. Because you know x=10/3, you put y=2(10/3)-1. Simplify this and get y=20/3-1. Convert 1 into a fraction and get y=20/3-3/3. Simplify this and get y=17/3.

Therefore,

x=10/3 y=17/3

Hoped this helps you

2x-1=1/2x+4
2x-1/2x=5
3/2x=5
x=10/3
y=17/3

Sylvia had a small box. She filled it with 64 triangle pattern blocks. She said "The volume of this box is 64 cubic units." Do you agree with Sylvia? Why or why not?

Answers

Answer:

I do not agree with Sylvia

Step-by-step explanation:

Given

1 small box

64 triangle pattern blocks

Required

Is she right?

From the question, we understand that she fills the box with 64 blocks.

For the fact that she did this; it does not mean that the volume of the small box is 64 cubic units (even if she filled the box completely and the triangle pattern blocks are identical)

The reason for this is that, the volume of each box may not be 1 cubic unit.

So, first she needs to determine the volume of each pattern block, then multiply by 64. If the result is 64, then the volume of the box is 64 cubic units.

Since, it is not stated, we will not make any assumptions.

Hence, I do not agree with Sylvia.

Use the Normal model N(1156,59) for the weights of steers.
a) What weight represents the 39th percentile?
b) What weight represents the 99th percentile?
c) What's the IQR of the weights of these steers?

Answers

What weight represents 39th percentile

Write in factored form
6x – 3y + 12

Answers

Answer:

3(2x-y+4)

Step-by-step explanation:

find the greatest common factor from all of them..which is 3

and then divide each number by it

3(2x-y+4)

ONLY 1% PEOPLE CAN ANSWER THIS QUESTION CORRECTLY 100 points also brainliest
Simplify
(8 x 5) x b
3 Also is this formula true or false?

Answers

Answer:40b simplified

Step-by-step explanation:

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