42 pushups in 3 minutes in a unit rate

Answer:

4c² - 17c + 32

Step-by-step explanation:

To expand (c -2)², use the identity (a - b)² = a² - 2ab + b²

(c - 2)² = c² - 2*c*2 + 2²

            = c² - 4c + 4

Use FOIL method to find (3c + 1)(c -4)

(3c  + 1)(c - 4) = 3c*c  - 3c *4 + 1*c - 1*4

                     = 3c² - 12c + 1c - 4

                      = 3c² - 11c  - 4  {Combine like terms}

7(c - 2)² - (3c + 1)(c -4) = 7*(c²- 4c + 4) - (3c² - 11c - 4)

Multiply each term of c² - 4c + 4 by 7 and each term of 3c² - 11c - 4 by (-1)

                                    = 7c² - 7* 4c + 7*4  - 3c² + 11c + 4

                                     = 7c² - 28c + 28 - 3c² + 11c + 4

                                     = 7c² - 3c² - 28c + 11c + 28 + 4

 Combine like terms,

                                     = 4c² - 17c + 32

Answer: 140

Step-by-step explanation:

Answer:

24/1

Step-by-step explanation:

24/1. because when you dive you get 24. 24 in fraction form is 24/1.

Answer:

a) x=4.1,y=6.8 b) x= ,y=

Step-by-step explanation:

a)Tn= a+(n-1)d

a=1.4

d=unknown

to find d use the terms given to solve

using the fourth term

9.5=1.4 + (4 -1)d

9.5= 1.4+(3)d

9 5-1.4=3d

8.1=3d

8.1/3=3d/3

2.7 =d

To find x

Tn=a+(n-1)d

x=1.4+(2-1)2.7

x= 1.4+(1×2.7)

x=1.4+2.7

x=4.1

To find y add 2.7 to x

y=4.1+2.7

y=6.8

The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.

Given that

So after analysis, we can conclude that The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.

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The statement "There is a rigid transformation taking Rhombus P to Rhombus Q" is false.

To determine whether there is a rigid transformation that takes Rhombus P to Rhombus Q, we can compare the side lengths and angles of the two rhombuses. If they are the same, then a rigid transformation can exist.

Looking at Rhombus P, we can see that all sides have length 4, and opposite angles are congruent. Therefore, Rhombus P is a square.

For Rhombus Q, we can use the Pythagorean theorem to find that the length of each side is sqrt(20), or approximately 4.472. Opposite angles are also congruent, so Rhombus Q is not a square.

Since the two rhombuses have different side lengths, there is no rigid transformation that can take Rhombus P to Rhombus Q. Therefore, the statement "There is a rigid transformation taking Rhombus P to Rhombus Q" is false.

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5x + 3y = 1 Equation (1)

x + 2y= 3 Equation (2)

Isolating x in the equation 2, we have:

x = 3 - 2y

Replacing x=3- 2y in the equation 1, we have:

5(3 - 2y) + 3y = 1

15 -10y + 3y = 1 (Distributing)

15 -7y = 1 (Adding like terms)

-7y = 1 - 15 (Subtracting 15 on both sides of the equation)

-7y = -14 (Subtracting)

y= -14/(-7) (Dividing by - 7 on both sides of the equation)

y = 2

Replacing y=2 in the equation 2

x = 3 - 2*2

x= 3 - 4 (Multiplying)

x= -1 (Subtracting)

The answers are : x= -1 and y=2.

area of rectangle = length×breadth

area of square = side×side

Answer:

(m,n) is (-2,2)

Step-by-step explanation:

Elimination means that we should rewrite one of the two equations as an expression of one of the variables isolated, and then use that definition isn the other equation.  It is also called "substitution."

Lets use the first equation and rewrite it so that the variable m is isolated:

3m-4n=-14

-4n = -3m-14

n = (3/4)m +(7/2)

Now use this definition of n in the second equation:

3m+2n=-2

3m+2((3/4)m +(7/2)) = -2

3m + (3/2)m + 7 = -2

4.5m = -9

m = -2

Now use m= -2 in either equation to find n.

3m-4n=-14

3(-2)-4n=-14

-6 -4n = -14

-4n = -8

n = 2

The solution of this system of equations is (-2,2).

See the attached graph, with x and y used in place of m and n.

Answer:

GCF, Greatest Common Factor

Step-by-step explanation:

Hope this helped

Answer:

The answer is -10 or 1

Step-by-step explanation:

by doing multjoke for each and subtracting

The measure of angles are

The length of the hypotenuse of the right triangle = 11 inches

The length of the one leg = 10 inches

Then the length of the other leg is the square root of the sum of the hypotenuse square and one leg square

Then the equation will be

The length of the other leg = \(\sqrt{11^2-10^2}\)

= \(\sqrt{121-100}\)

= 4.58 inches

Therefore AC = 11 inches

AB = 10 inches

BC = 4.58 inches

The angle B = 90 degrees

Consider the angle A

cos θ = Adjacent side / hypotenuse

cos θ = 10 /11

θ = 24.61 degrees

Consider the angle C

cos θ = Adjacent side / Hypotenuse

cos θ = 4.58 / 11

θ = 65.39 degrees

Hence, the measure of angles are

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a. The probability that one of the selected adults wears glasses is 0.323.

b. The expected number of adults not wearing glasses in this selection is 4.

c. The probability that more than three but no more than five of the selected adults will not be wearing glasses is 0.451.

d. The standard deviation of the number of adults not wearing glasses in this selection is 1.385.

(a) To find the probability that one of the selected adults wears glasses, we can use the binomial distribution formula:

P(X = k) = \({}^nC_k\) × \(p^k\) × \((1-p)^{(n-k)}\)

where n is the number of trials (in this case, 10), k is the number of successes (in this case, 1), p is the probability of success (in this case, 0.6), and (1-p) is the probability of failure (in this case, 0.4).

Substituting these values, we get:

P(X = 1) = \({}^nC_k\) × \(0.6^1\) × \(0.4^9\)

= 10 × \(0.6^1\) × \(0.4^9\)

= 0.323

So the probability that one of the selected adults wears glasses is 0.323.

(b) To find the expected number of adults not wearing glasses, we can use the formula:

E(X) = n × (1 - p)

where n is the number of trials (in this case, 10) and p is the probability of success (in this case, 0.6).

Substituting these values, we get:

E(X) = 10 × (1 - 0.6)

= 4

So the expected number of adults not wearing glasses is 4.

(c) To find the probability that more than three but no more than five of the selected adults will not be wearing glasses, we can use the binomial distribution formula again:

P(3 < X < 6) = P(X = 4) + P(X = 5)

Substituting the values using the formula, we get:

P(X = 4) = 10 choose 4 × \(0.4^4\) × \(0.6^6\)

= 210 × \(0.4^4\) × \(0.6^6\)

= 0.250

P(X = 5) = 10 choose 5 × \(0.4^5\) × \(0.6^5\)

= 252 × \(0.4^5\) × \(0.6^5\)

= 0.201

Therefore,

P(3 < X < 6) = P(X = 4) + P(X = 5)

= 0.250 + 0.201

= 0.451

So the probability that more than three but no more than five of the selected adults will not be wearing glasses is 0.451.

(d) To find the standard deviation of the number of adults not wearing glasses, we can use the formula:

SD(X) = √(n × p × (1 - p))

Substituting the values, we get:

SD(X) = √(10 × 0.6 × 0.4)

= 1.385

So the standard deviation of the number of adults not wearing glasses is 1.385.

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Answer:

The degree of the given expression is 2

Step-by-step explanation:

the degree of equation is 2

hope it is helpful to you

Answer: 100,000

Step-by-step explanation: 1,000,000 divided by 10.

Answer:

3 parallelograms

Step-by-step explanation:

To find the mean number of calories in the sample of hamburgers, we sum up all the calorie values and divide by the total number of hamburgers.

340 + 350 + 300 + 250 + 270 + 340 = 1850

To calculate the mean, we divide the sum by the number of hamburgers:

1850 / 6 = 308.33

Therefore, the mean number of calories in the sample of hamburgers is 308.3 (rounded to one decimal place).

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Answer:

\(\left( 3-2i\right) \left( 3+2i\right) =13\)

Step-by-step explanation:

Note :

i² = −1

(a - b)(a + b) = a² - b²

________________

\(\left( 3-2i\right) \left( 3+2i\right) =3^{2} - (2i)^2\)

                         \(=9 - (2)^2\times i^2\)

                         \(=9 - 4(i)^2\)

                         \(=9-4\times(-1)\)

                         \(=9+4\)

                         \(=13\)

Answer: (3 – 2i)(3 2i)=13

Step-by-step explanation:

edge2020

Answer:

40-d

Step-by-step explanation:

Answer:

Correct option: C -> Y=2(x-4) has a x- intercept of 4

Step-by-step explanation:

To find the y-intercept of the equation y = 2x - 8, we just need to find the value of y when x = 0:

\(y = 2*0 - 8 = -8\)

To find the x-intercept of the equation y = 2x - 8, we just need to find the value of x when y = 0:

\(0 = 2*x - 8\)

\(2x = 8\)

\(x = 4\)

So the y-intercept is -8 and the x-intercept is 4.

Correct option: C -> Y=2(x-4) has a x- intercept of 4

Memorizing algebra rules can be challenging, but a few strategies may help: Practice, Mnemonics, Repeat, and Use flashcards.

It's important to note that memorizing rules is not the best approach to understanding the concepts, the best approach is to understand the concepts, and the rules will come naturally.

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Answer:

$125

Step-by-step explanation:

pls mark brainly, tyy

The relationship between the variables c and b is c = \(\frac{50}{3}b\)

A variation is a relation between a set of values of one variable and a set of values of other variables. Direct variation. In the equation y = mx + b, if m is a nonzero constant and b = 0, then you have the function y = mx (often written y = kx), which is called a direct variation.

if c ∝ b

Then,

c = kb where k is a constant

When c = 50, b = 3

substituting into the equation above,

50 = 3k

k = 50/3

substitute k into the equation

c = \(\frac{50}{3}b\)

In conclusion c is related to b by the equation c = \(\frac{50}{3}b\)

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The equation that has the solution \(x = \frac{5 \pm \sqrt{7}}{3}\) is 3x^2 - 10x + 6 = 0

The solution is given as:

\(x = \frac{5 \pm \sqrt{7}}{3}\)

The solution to a quadratic equation is

\(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

By comparing both equations, we have:

-b = 5

b^2 - 4ac = 7

2a = 3

Solve for b in -b = 5

b = -5

Solve for a in 2a = 3

a = 1.5

Substitute values for a and b in b^2 - 4ac = 7

(-5)^2 - 4 * 1.5c = 7

Evaluate

25 - 6c = 7

Subtract 25 from both sides

-6c = -18

Divide by - 6

c = 3

So, we have:

a = 1.5

b =  -5

c = 3

A quadratic equation is represented as:

ax^2 + bx + c = 0

So, we have:

1.5x^2 - 5x +3 = 0

Multiply through by 2

3x^2 - 10x + 6 = 0

Hence, the equation that has the solution \(x = \frac{5 \pm \sqrt{7}}{3}\) is 3x^2 - 10x + 6 = 0

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The expression 40 + 30m = c represents the cost of the gym membership for m months option (A) 40 + 30m = c is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The local gym is offering this new promotion:

An enrollment fee of $40 and a monthly fee of $30.

Let m be the total number of months

Total monthly fee = 30m

Total cost(including the enrollment fee of $40) = 40 + 30m

Let the total cost is c:

c = 40 + 30m

If in the linear expression, one variable is present, then the bis known as the linear expression in one variable.

Thus, the expression 40 + 30m = c represents the cost of the gym membership for m months option (A) 40 + 30m = c is correct.

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Answer: 4=X

Step-by-step explanation:

You divide 4x by itself, and divide 16 by 4x leaving you with X and 4 (I'm pretty sure)

Answer:

x=2,-2

Step-by-step explanation:

first you subtract x^4 from both sides

second subtract 16  from both sides

third Divide both sides by -1

fourth take root.