A man climbing a banana tree. Which sentence achieves the purpose of telling the man that what he is doing is dangerous? How do you do that? Be careful! If I tried to do that, I would fall. I wish that I could do that!

The simplified value of (2x - 4)² is 4x² - 16x + 16.

First, let us understand the algebraic identities;

Algebraic identities are equations in which the left hand side of the equation is identically equal to the right hand side of the equation.

Some of the identities are:

We are given (2x - 4)².

Use the identity (a - b)² = a² - 2ab + b² to expand to the given expression.

So, a = 2x and b = 4.

Put it into the identity, we will get;

Therefore,

(2x - 4)² = (2x)² - 2 * 2x * 4 + (4)² = 4x² - 16x + 16

Thus, the simplified value of (2x - 4)² is 4x² - 16x + 16.

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The measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

arc RS = 2(m∠RQS)

Also arc AD = 140°

2(m∠RQS) = 140°

m∠RQS = 140°/2 {divide through by 2}

m∠RQS = 70°

Therefore, the measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

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Answer:

D 160,000

Step-by-step explanation:

just add a zero because there one zero in 10

Answer:

8 pounds of cheaper candy,

17.5 pounds of expensive candy

Step-by-step explanation:

Let's define some variables. Let's say the amount of pounds of candy that sells for $2.20/lb is x, and the $7.30 is y. Now we can write some equations!

x + y = 25.5

\(\frac{2.2x + 7.3y}{25.5} = 5.7\)

We can start substitution. We can say that x = 25.5 - y. Plugging this into our second equation, we get:

y = 17.5

Plugging this in, we find that:

x = 8.

Answer:

10.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions to calculate the hypotenuse.

We know the opposite side from the angle labeled 59 degrees.

sin 59 = opp side / hypotenuse

sin 59 = 9.2/x

x = 9.2/ sin 59

x = 10.733

The Corollary to the polygon is explained below and the  formula to find the measure of each interior angle is  " (n - 2)×180°/n "   .

The Corollary to the polygon Angle Sum Theorem states that : the sum of the interior angles of a regular n gon is written as :

that means , ⇒ Sum of interior angles = (n - 2) × 180° ...equation(1)

In a regular "n-gon" , all the interior angles are said to be congruent.

Let "x" be  measure of each interior angle of a regular n-gon.

So , we can write ;

⇒ Sum of interior angles = (n)×(x)  ;

Equating the above expressions with equation(1),

⇒ (n)×(x) = (n - 2) × 180°  ;

On Solving for x,

⇒ x = (n - 2)×180°/n  ;

Therefore, the measure of each interior angle of a regular "n-gon" is x = (n - 2)×180°/n  .

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The factory must produce 6,400 parts  so that there is 1 ton of scrap aluminum for recycling.

It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling

What is a Ratio?

A quantitative relation between two amounts showing the number of times one value contains in another

1 part produced  ⇒ 5 ounces scrap aluminium recycled.

So, the ratio of parts produced : Scrap of aluminium = 1   : 5  .... (a)

Let us assume for m parts produced ,  1 ton of scrap is recycled.

Also, 1 ton = 2, 000 pounds

and 1 pound = 16 ounces

⇒ 1 ton = 2000 x (16 ounces)  = 32,000 ounces

So, for m parts made in the  factory, 32,000 ounces scrap is recycled.

So, the ratio of parts produced : Scrap of aluminium =  m   : 32,000  .... (b)

From both the given ratio, we get

1   : 5  = m   : 32,000

m=32000/5

m=6400

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The lateral surface area of a rectangular prism is 2(l + w)h sq units.

A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces).

The lateral surface area of a rectangular prism is given by

Where l, w, and h are the length, width, and height, respectively. To find the lateral surface area, we need the values of l, w, and h.

Without these values, it is not possible to determine the lateral surface area of the rectangular prism.

Therefore, the lateral surface area of a rectangular prism is 2(l + w)h sq units.

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Answer:

3A. x=9

3B. m=10

4A. b=21

Answer:

Kindly check explanation

Step-by-step explanation:

H0 : μ = 5500

H1 : μ > 5500

The test statistic assume normal distribution :

Test statistic :

(Xbar - μ) ÷ s/sqrt(n)

(5625.1 - 5500) ÷ 226.1/sqrt(15) = 2.1429 = 2.143

Pvalue from test statistic :

The Pvalue obtained using the calculator at df = 15 - 1 = 14 is 0.025083

α = 0.05

Since ;

Pvalue < α

0.025083 < 0.05 ; Reject H0

The confidence interval :

Xbar ± Tcritical * s/sqrt(n)

Tcritical at 95% = 1.761 ;

margin of error = 1.761 * 226.1/sqrt(15) = 102.805

Lower boundary : (5625.1 - 102.805) = 5522.295

(5522.295 ; ∞)

The hypothesized mean does not occur within the constructed confidence boundary. HENCE, there is significant eveidbce to support the claim that the true mean life of a biomedical device is greater than 5500

The calculated value of m is (5780 - 45y)/35 where the mean of other class is y

To calculate the value of m, we can use the formula for the mean (average) of a set of numbers, which is the sum of the numbers divided by the total number of numbers.

Let x be the mean daily pocket money of the 80 pupils from both classes.

Then we have:

x = 72.25 and x = (total pocket money of 80 pupils) / 80

So, we have

(total pocket money of 80 pupils) / 80 = 72.25

This gives

total pocket money of 80 pupils = 5780

So, we have

35m + (80 - 35) * mean of other class = 5780

Represent the mean of other class with y

So, we have

35m + 45y = 5780

This gives

35m = 5780 - 45y

So, we have

m = (5780 - 45y)/35

Hence, the solution for m is (5780 - 45y)/35

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The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

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Answer:

42

Step-by-step explanation:

Divide 14/2 *6 to get your ratio.

Hope this helps!

:)

Answer:

42

Step-by-step explanation:

Divide 14/2 *6 to get your ratio.

Answer:

Step-by-step explanation:

Let the area of initial square is x, then shaded squares will have area as geometric sequence:

The first term is x, the common ratio is 1/4

Sum of infinite GP is:

By substituting values we get:

Answer:

7 + 6z

Step-by-step explanation:

3z + 3z = 6z, and that isolates the variable (z).

The time taken for the trip will be 12.7 hours.

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

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Answer: 72

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

D. 9/40 would be the answer.

Step-by-step explanation:

formula

sinQ= opp/hyp (9/41)

TanQ= opp/adj (which mean 9 /40)

Answer:

  74 3/8 cubic feet

Step-by-step explanation:

The volume of the tub is the product of the dimensions:

  V = LWH

  = (5 ft)(3.5 ft)(4.25 ft)

  = 74.375 ft³

The tub can hold 74 3/8 cubic feet of water.

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Answer:

C. $7.15

Step-by-step explanation:

3.5(11)= 38.5

2.85(11)= 31.35

38.5-31.35=7.15

Create a system of linear inequalities.

Multiply both sides of the first inequality by 3. Thus, we obtain the following:

Subtract the second inequality from the first inequality.

To obtain the value of x, substitute 16 in the first inequality.

Solve for the number of hours per shop.

Thus,

Problem

Solve for y /9 = 8 /12 Simplify your answer as much as possible

Solution

For this case we can solve for y multiplying 9 in both sides and we got:

The inequality for which the order pair (-5, -7) is a solution will be x + y ≤ 3. Then the correct option is B.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Let's check all the options, then

A)  y ≤ (1/4)x - 1

At (-5, -7), we have

-7 ≤ (1/4)(-5) - 1

-7 ≤ -2.25

This is incorrect.

B)  x + y ≤ 3

At (-5, -7), we have

-5 + (-7) ≤ 3

-12 ≤ 3

This is correct.

The inequality for which the order pair (-5, -7) is a solution will be x + y ≤ 3. Then the correct option is B.

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