Solve for a.
a
2
8
a =
✓ [?]
Pythagorean Theorem: a2 + b2 = c2
Enter

If they together at the same rate for the same amount of time, they will solve 48 math problems,

From the question, we can see that two mathletes solve 32 math problems in a certain amount of time, this can be written as:

In order to determine the number of problems for 3 mathletes, this is expressed as:

DIvide both expressions:

Cross multiply

2x = 3* 32

x = 3 * 16

x = 48math problems

Hence if they together at the same rate for the same amount of time, they will solve 48 math problems,

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Answer:

Answer: LCM of 4, 6, and 8 is 24.

Answer:

Step-by-step explanation:

8 → 8, 16, 24, 32, 40

4 → 4, 8, 12, 16, 20, 24, 28, 32, 36

6 → 6, 12, 18, 24, 30, 36

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So the LCM is 24.

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- Hope it helps!

- Have a good day!

Answer:

Slope = 3/2

y-intercept = -4

x  |  y

0  -4

2   -1

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

18/3/4. 18 divided by 3/4 is 18x4/3 which is 72/3=24

Answer:

yes

Step-by-step explanation:

Answer: The slope is -32

Explanation:

Start with the slope formula:

m= (y2 - y1) / (x2 - x1)

Substitute point values in the formula

m = (-25 - 7) / (85 - 84)

Simplify each side of the equation

m= (-25 - 7) / (85 - 84) = -32/1

Solve for slope (m)

m= -32

Answer:

$2.5/game

Step-by-step explanation:

To find Slope, Change of rate

find two points on the graph

I selected : (4,14) and (8, 24)

Slope: y2-y1/x2-x1

24-14/8-4

10/4

5/2

=2.5

so the rate of change is $2.5/game

Answer:

ñññ

Step-by-step explanation:

Answer:

[tex]x=-9\pm6i[/tex]

Step-by-step explanation:

[tex]6x^2+108x+707=5[/tex]

[tex]6x^2+108x+702=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-108\pm\sqrt{(108)^2-4(6)(702)}}{2(6)}[/tex]

[tex]x=\frac{-108\pm\sqrt{-5184}}{12}[/tex]

[tex]x=\frac{-108\pm72i}{12}[/tex]

[tex]x=-9\pm6i[/tex]

Answer:

true

Step-by-step explanation:

Line l and line m are parallel to each other which means the statement is true.

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The statement is True !

In the given figure, the two lines are parallel to one another ~ because pair of corresponding angles are equal.

it tells you the answer..

The product of matries [tex]\left[\begin{array}{cc}5&-2\\-6&2\end{array}\right][/tex]  and [tex]\left[\begin{array}{c}-1\\-1\end{array}\right][/tex]is option c. [tex]\left[\begin{array}{c}-3\\4\end{array}\right].[/tex] By perform matrix multiplication of 2x2 matrix with 2x1 matrix.

Given the matrices:

[tex]A = \left[\begin{array}{cc}5&-2\\-6&5\end{array}\right][/tex]

[tex]B = \left[\begin{array}{c}-1\\-1\end{array}\right][/tex]

To find the product, perform matrix multiplication.

Using the given matrices, the multiplication can be done as follows:

[tex]\left[\begin{array}{cc}5&-2\\-6&2\end{array}\right] \times \left[\begin{array}{c}-1\\-1\end{array}\right][/tex]

Multiply each element in the corresponding row of the first matrix by the corresponding column of the second matrix and summing the products.

[tex]=\left[\begin{array}{cc}(5\times-1)+(-2\times-1)\\(-6\times-1)+(2\times-1)\end{array}\right][/tex]

On multiplying the term in brackets gives:

[tex]=\left[\begin{array}{cc}-5+2\\6-2\end{array}\right][/tex]

On performing the algebraic sum gives:

[tex]=\left[\begin{array}{cc}-3\\4\end{array}\right][/tex]

Therefore, the product of the matrices is [tex]\left[\begin{array}{cc}-3\\4\end{array}\right].[/tex]

Matrix multiplication is an important operation in linear algebra and has applications in various fields, including physics, computer science, and engineering.

It allows us to perform transformations, solve systems of equations, and represent linear relationships between variables.

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Answer:

This is what i got

Using the t-distribution, it is found that:

a)

The null hypothesis is [tex]H_0: \mu = 3.1[/tex]

The alternative hypothesis is [tex]H_1: \mu \neq 3.1[/tex]

b)

c) t = 1.853

d) Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

Item a:

At the null hypothesis, it is tested if the estimate of 3.1 cups per day is correct, that is:

[tex]H_0: \mu = 3.1[/tex]

At the alternative hypothesis, it is tested if the estimate is not correct, that is:

[tex]H_1: \mu \neq 3.1[/tex]

Item b:

This is a two-tailed test, as we are testing if the mean is different of a value, with 12 - 1 = 11 df and a significance level of 0.05,  hence, the critical value is [tex]t^{\ast} = 2.2[/tex].

Then, the decision rule is:

Item c:

We can find the standard deviation for the sample, hence, the t-distribution is used.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters, with the help of a calculator for the sample mean and standard deviation, are given by: [tex]\overline{x} = 3.425, \mu = 3.1, s = 0.6077, n = 12[/tex]

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.425 - 3.1}{\frac{0.6077}{\sqrt{12}}}[/tex]

[tex]t = 1.853[/tex]

Item d:

Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

A similar problem is given at https://brainly.com/question/24826023

Answer:

Negative Correlation

Step-by-step explanation:

The plot looks like it's going downwards. If it was an equation, it'd be something with y = -x +b.

Answer:

Step-by-step explanation:

3.6

Answer:

hope this helps

Step-by-step explanation:

192 fl oz. = 6 quarts

to get this you divide the fluid ounces by 32.

Answer:

Step-by-step explanation:

-6x+5y=0 and −5x+5y=−5

Subtract the second from the first:

-6x+5y=0

5x-5y= 5

-x = 5

x = -5

15*X/100=12

15x=1200

X=1200/15

x=80

See attachment for answer and math work.

The value of x that will make the expression equal is 4. Option B is correct.

Given the indices expression;

[tex]3^{2x+1} = 3^{x+5}[/tex]

Since the base values are the same, they will cancel out to have:

[tex]2x + 1 = x + 5[/tex]

Collect the like terms:

[tex]2x - x = 5 - 1\\x = 4\\[/tex]

Hence the value of x that will make the expression equal is 4

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Answer:

the correct option is C which is 4

Step-by-step explanation:

jesus loves you!!!!!!!!!

Answer:

Acute

Step-by-step explanation:

Answer:

a = - 2, [tex]\frac{9}{4}[/tex] , b = 2, - [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Since x = 1, y = 2 is a solution to the equations , then substitute these values into the 2 equations and solve for a and b

a + 2b = 2 → (1)

b + 2a² = 10 → (2)

In (1) subtract 2b from both sides

a = 2 - 2b → (3)

Substitute a = 2 - 2b into (2)

b + 2(2 - 2b)² = 10 ← expand parenthesis using FOIL

b + 2(4 - 8b + 4b²) = 10 ( simplify left side )

b + 8 - 16b + 8b² = 10 ( subtract 10 from both sides )

8b² - 15b - 2 = 0

Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term

product = 8 × - 2 = - 16 and sum = - 15

The factors are - 16 and + 1

Use these factors to split the b- term

8b² - 16b + b - 2 = 0 ( factor first/second and third/fourth terms )

8b(b - 2) + 1(b - 2) = 0 ← factor out (b - 2) from each term

(b - 2)(8b + 1) = 0

Equate each factor to zero and solve for b

b - 2 = 0 ⇒ b = 2

8b + 1 = 0 ⇒ 8b = - 1 ⇒ b = - [tex]\frac{1}{8}[/tex]

Substitute these values into (3) and evaluate for a

b = 2 ⇒ a = 2 - 2(2) = 2 - 4 = - 2

b = - [tex]\frac{1}{8}[/tex] ⇒ a = 2 - 2(- [tex]\frac{1}{8}[/tex] ) = 2 + [tex]\frac{1}{4}[/tex] = 2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex]

The possible values of a and b are 8, -3 or 9/4 , -1/8 respectively.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equations are,

ax + by = 2            (1)

and bx + a²y = 10        (2)

Also, x = 1 and y = 2 are the solution of the equation,

Substitute x = 1 and y = 2in equation (1),

a(1) + b(2) = 2

a + 2b = 2       (3)

Further substitute x = 1 and y = 2 in equation (2),

b(1) + a²(2)  = 10  

2a² + b = 10         (4)

By solving equation (3) and (4),

The possible values of a are 8 and 9/4.

And possible value of b are -3 and -1/8.

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Answer:

14

Step-by-step explanation:

Answer:

Step-by-step explanation:

3

+

1

−

1

=

1

0

−

1

3

=

9

3

3

=

9

3

=

3   answer

answer is D

graduent should be m¹×m²=-1

and should be the inverse of the other

Answer:

  720

Step-by-step explanation:

The digit 2 is the second digit left of the decimal point in the number ...

  720

_____

2517 --- 2 is in the thousands place

342 --- 2 is in the ones place

720 --- 2 is in the tens place

518.2 --- 2 is in the tenths place

The best account if one plans to make frequent withdrawals via check or debit card is A. Checking account

Checking accounts:

Checking accounts are best when a person wants easy access to their money because they can get to it via checks or debit cards. The drawback however, is that interest on these accounts are low.

In conclusion, option A is correct.

Find out more about checking accounts at https://brainly.com/question/21714367.

Answer:

Andre has 4 pounds of Broccoli and 6 pounds of Zucchini.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

6 pounds of Zucchini, and 4 pounds of broccoli equals to $17 and 2 pounds of Zucchini, and 7 pounds of broccoli equals to $17. Hope this helps.

Answer: -2

Step-by-step explanation:

9e-7=7e-11

-7e         -7e

2e-7=-11

   +7  +7

2e=-4

/2   /2

e=-2

Answer:

m/s ...................................