A person who weighs 125 pounds on Earth would weigh 47 2/10 pounds on Mercury. Set up a proportion and solve using means and extremes to determine how much a child who weighs 50 pounds on Earth would weigh on mercury.

Answer:

Less than, acute, equal to, and right

Step-by-step explanation:

correct on edge.

Use the drop-down menus to complete the statements.

42 is less than 3^2 + 362.

Therefore, △JKL is acute.

5^2 is equal to 3^2 + 4^2.

Applying the same method, △ABC is right.

Your question is incomplete. Please read below to find the content.

Less than, acute, equal to, and right are the correct drop-down menus.

An angle that is measuring much less than ninety degrees is called an acute angle. This perspective is smaller than the proper angle (that is equal to 90 stages). For an instance, ∠30°, ∠forty-five°, ∠60°

Any shape that could be a rectangular or a rectangle, will have its corners equal to ninety tiers or right angle. A proper attitude is therefore referred to as a ninety-diploma perspective. In geometry, the figure formed through two rays, referred to as the perimeters of the angle, sharing a common endpoint, known as the vertex of the angle is referred to as an attitude.

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Answer:

Part A: The cube root of a positive number is a positive number.

Part B: x = 3

A. Howie is wrong because he implied that the answer could be negative. B. The correct answer is x = 3.

When Howie attempted to solve the equation [tex]\(x^3 = 27\)[/tex], he mistakenly concluded that x = -3 was a solution.

However, [tex]\((-3)^3\)[/tex] is equal to -27, not 27. Therefore, -3 is not a valid solution to the equation.

Howie's answer was incorrect because he mistakenly included x = -3 as a solution, which does not satisfy the equation [tex]\(x^3 = 27\).[/tex]

The revised answer should only include the correct solution x = 3. The equation [tex]\(x^3 = 27\)[/tex] has only one real solution, which is:

x = 3

The value of the function f(x) = -5x when x = 0 is 0. This point also represents the y-intercept of a declining straight line graph.

To find the value of the function f(x) when x equals 0, we simply substitute 0 for x in the given function. The function provided is f(x) = -5x, which implies a linear relationship between y and x. Therefore:

f(0) = -5(0) = 0

The value of f(x) at x = 0 is 0, which also represents the y-intercept of the graph. Since the coefficient of x is negative, we know the graph is a declining straight line. However, at the point where x = 0, the graph will intersect the y-axis.

Answer:Sheila

Step-by-step explanation:

Answer:

Mathew invested $600 and $2400 in each account.

Solution:

From question, the total amount invested by Mathew is $3000. Let p = $3000.

Mathew has invested the total amount $3000 in two accounts. Let us consider the amount invested in first account as ‘P’

So, the amount invested in second account = 3000 – P

Step 1:

Given that Mathew has paid 3% interest in first account .Let us calculate the simple interest [tex](I_1)[/tex] earned in first account for one year,

[tex]\text {simple interest}=\frac{\text {pnr}}{100}[/tex]

Where  

p = amount invested in first account

n = number of years  

r = rate of interest

hence, by using above equation we get [tex](I_1)[/tex] as,  

[tex]I_{1}=\frac{P \times 1 \times 3}{100}[/tex] ----- eqn 1

Step 2:

Mathew has paid 8% interest in second account. Let us calculate the simple interest [tex](I_2)[/tex] earned in second account,

[tex]I_{2} = \frac{(3000-P) \times 1 \times 8}{100} \text { ------ eqn } 2[/tex]

Step 3:

Mathew has earned 4% interest on total investment of $3000. Let us calculate the total simple interest (I)

[tex]I = \frac{3000 \times 1 \times 4}{100} ----- eqn 3[/tex]

Step 4:

Total simple interest = simple interest on first account + simple interest on second account.

Hence we get,

[tex]I = I_1+ I_2 ---- eqn 4[/tex]

By substituting eqn 1 , 2, 3 in eqn 4

[tex]\frac{3000 \times 1 \times 4}{100} = \frac{P \times 1 \times 3}{100} + \frac{(3000-P) \times 1 \times 8}{100}[/tex]

[tex]\frac{12000}{100} = \frac{3 P}{100} + \frac{(24000-8 P)}{100}[/tex]

12000=3P + 24000 - 8P

5P = 12000

P = 2400

Thus, the value of the variable ‘P’ is 2400  

Hence, the amount invested in first account = p = 2400

The amount invested in second account = 3000 – p = 3000 – 2400 = 600  

Hence, Mathew invested $600 and $2400 in each account.

Answer:

2y^2. 8/4 = 2 and y^7/y^5 is y^2 i don't know if this is what you completely asked for but here is the answer

Step-by-step explanation:

Division of the given polynomial [tex]8y^{7}[/tex]  ÷ [tex]4y^{5}[/tex]is equal to [tex]2y^{2}[/tex].

" Division is defined as the distribution of a given quantity into equal parts as per the given condition."

Formula used

[tex]a^{m}[/tex]  ÷ [tex]a^{n}[/tex] [tex]= a^{m-n} , m > n[/tex]

According to the question,

Given polynomial,

[tex]8y^{7}[/tex]  ÷ [tex]4y^{5}[/tex]

Division of given polynomial also use the formula we get,

[tex]8y^{7}[/tex]  ÷ [tex]4y^{5}[/tex]

[tex]= 2 y^{7-5} \\\\= 2y^{2}[/tex]

Hence, division of the given polynomial [tex]8y^{7}[/tex]  ÷ [tex]4y^{5}[/tex]is equal to [tex]2y^{2}[/tex].

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70000000 the reason that this is the answer to this is because if multiply 10 by 7 you will have 70 and just add 6 zeros

Answer:

Its 700000

Step-by-step explanation:

Answer:

first one. Since its X crosses or passes (2,0)

Step-by-step explanation:

The value of function represents with same domain f(x)= g(x) is f(2) = g(2) and f(0) = g(0).

We know that two functions f and g are said to be equal if:

(i) f and g have same domain D

(ii) for all x ∈ D, f(x) = g(x)

Thus, we must select the response that best captures the situation where f(x) = g. (x)

Considering the fact that f(x) and g(x) are defined on the same domain

If they are equivalent for all values of x in the domain, then f(x) = g(x).

Thus, f(2) = g(2) and f(0) = g(0)

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Answer:$1,199

Step-by-step explanation:

$1,199 X 5.25%=$1,261.95

Answer:

C

Step-by-step explanation:

Given

2r + (t + r) ← distribute parenthesis by 1

= 2r + t + r ← collect like terms

= 3r + t

Which is not represented by the given options → C

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• cot x = [tex]\frac{cosx}{sinx}[/tex]

• sec x = [tex]\frac{1}{cosx}[/tex] and cosec x = [tex]\frac{1}{sinx}[/tex]

Consider the left side

[tex]\frac{cotx}{secx}[/tex]

= [tex]\frac{cosx}{sinx}[/tex] × cosx

= [tex]\frac{cos^2x}{sinx}[/tex]

= [tex]\frac{1-sin^2x}{sinx}[/tex]

= [tex]\frac{1}{sinx}[/tex] - [tex]\frac{sin^2x}{sinx}[/tex]

= cosec x - sin x

= right side ⇒ verified

Vertical angles are the same,

Set the two equations to equal each other to solve for x:

5x-7 = 8x-55

Subtract 5x from both sides:

-7 = 3x -55

Add 55 to both sides:

3x = 48

Divide both sides by 3:

x = 48 /3

x = 16

Now you have a value for x, solve angle D:

8x -55 = 8(16) - 55 = 128 - 55 = 73 degrees.

Answer:

The answer is m∠D is 73.

Step-by-step explanation:

In order to determine the answer, we have to know about vertical angles.

Vertical Angles are the angles opposite each other when two lines cross. These angles share the same vertex. I have attached an image that shows vertical angles.

So, according to the definition:

m∠C=m∠D

m∠C=5x-7

m∠D=8x-55

[tex]5x-7=8x-55\\5x-8x=-55+7\\-3x=-48\\x=\frac{-48}{-3}\\ \\x=16[/tex]

m∠D=8*16-55=73

Finally, the angle m∠D is 73.

[tex]\text{Hello there!}\\\\\text{You're solving for x, meaning that you have to get x by itself}\\\\\text{Solve for x in the inequality:}\\\\-6 <x-1 <9\\\\\text{Add 1 to both sides}\\\\\large\boxed{-5<x<10}[/tex]

In order to get the answer to this question you will have to use PEMDAS and solve.

[tex]6\times7-3^2\times9+4^3[/tex]

Using PEMDAS:

[tex]3^2=3\times3=9[/tex]

[tex]4^3=4\times4\times4=64[/tex]

[tex]6\times7-9\times9+64[/tex]

[tex]6\times7=42[/tex]

[tex]9\times9=81[/tex]

[tex]42-81+64[/tex]

[tex]81+64=145[/tex]

[tex]42-145[/tex]

[tex]42-145=-103[/tex]

[tex]=-103[/tex]

Therefore your answer is "-103."

Hope this helps.

Answer:

The value of the expression is 25.

Step-by-step explanation:

Consider the provided expression.

[tex]6 \times 7 - 3^2 \times 9 + 4^3[/tex]

First simplify the exponents.

[tex]3^2=9\ and\ 4^3=64[/tex]

Substitute the value of exponents in the provided expression.

[tex]6 \times 7 - 9 \times 9 + 64[/tex]

[tex]42- 81+ 64[/tex]

[tex]106- 81[/tex]

[tex]25[/tex]

Hence, the value of the expression is 25.

Answer:

The answer is 1/2

Step-by-step explanation:

If you look at the distance between P and R and the dilation between P' and R' you would get 4 and 2. This the scale dilation is 1/2. Multiply 1/2 by 4 and you would get 2.

Answer:

1/2

Step-by-step explanation:

Answer:

@misterking_59 i 2,000 no prb

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Length 9 (3+6)

Width 3

Perimeter = 2 times length + 2 times width

18 + 6 = 24

The polynomial function of least degree with zeros -3, -2, and 4 is f(x) = (x+3)×(x+2)×(x-4), which is a cubic polynomial.

The polynomial function of least degree with given zeros of -3, -2, and 4 is derived from the fact that if a polynomial has zeros at x=a, x=b, and x=c, then it can be represented as f(x) = k×(x-a)×(x-b)×(x-c), where k is any non-zero constant. Given the zeros -3, -2, and 4, the polynomial function is:

f(x) = k×(x+3)×(x+2)×(x-4)

Because the question does not specify a leading coefficient, we can assume k=1 for the least degree polynomial. Thus, the final form of the polynomial would be:

f(x) = (x+3)×(x+2)×(x-4)

Expanding this would give us a cubic polynomial, which is the polynomial of least degree that satisfies the condition of having exactly these three zeros.

Answer:

7x/2

Step-by-step explanation:

7x=2y

1) Divide both sides by 2:

y=7x/2

Answer:

19.125

Step-by-step explanation:

multiply 15.5 by 3 and then divide the answer by 4

Final answer:

To find the distance Adrian's paper airplane traveled, convert Yanni's distance to an improper fraction, calculate 3/4 of that, and then convert back to a mixed number. Adrian's paper airplane flew 11 5/8 feet.

Explanation:

The question asks us to calculate the distance Adrian's paper airplane traveled, given that it is 3/4 of the distance Yanni's airplane traveled, which was 15 1/2 feet. First, we need to convert Yanni's distance to an improper fraction. This gives us 31/2 feet. To find 3/4 of this distance, we multiply 31/2 feet by 3/4:

(31/2) × (3/4) = (31 × 3) / (2 × 4) = 93/8 feet.

Now, we convert the improper fraction back to a mixed number to find the distance. This gives us 11 5/8 feet (since 93 divided by 8 is 11 with a remainder of 5).

Therefore, Adrian's paper airplane traveled a distance of 11 5/8 feet.

Answer:

The house increases by $23,580 and he current value of the house is $285,580

Step-by-step explanation:

A house on the market was valued at $262,000. After several years, the value increased by 9%.

The first part of the question is to find by how much the house's value increase in dollars, to calculate this, we will simply find;

9% of $262,000

= [tex]\frac{9}{100}[/tex]   × $262 000

= [tex]\frac{2358000}{100}[/tex]

=$23580

Therefore, the house's value increase by $23580

The second part of the question is to fin the current value of the house. Hence;

Current value of the house = $262,000 + $23580=$285,589

Therefore the current value of the house is $285,589

Answer:

frist add 3 plus 2 then multiply it by 21 and then you will get 105 and 105 will represent d

Answer: Casey had the most votes.

Order from most to least: Casey (12/30), Bo (9/30), Avery (8/30), Daisy (1/30).

Step-by-step explanation:

We need to firstly get then all to have the same denominator.

15 * 2 = 30

4 * 2 = 8

Avery = 8/30

10 * 3 = 30

3 * 3 = 9

Bo = 9/30

5 * 6 = 30

2 * 6 = 12

Casey = 12/30

Daisy = 1/30

Answer:

Casey had the most votes

Step-by-step explanation:

2021, lol

Answer:

Cos(A) = 10/26

Tan(C) = 10/24

Step-by-step explanation:

cos = adjacent/hypotenuse

tan = opposite/adjacent

Answer:

Cos(A) = 10/26

Tan(C) = 10/24

The two angles given, X and 2x are supplementary angles which when added together need to equal 180 degrees.

Set up an equation to solve for x:

x + 2x = 180

Simplify:

3x = 180

Divide both sides by 3:

x = 180/3

x = 60 degrees.

Answer:

A

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

Given : Function f of x equals 4 times one third to the 2 times x power.

To find : Rewrite the function using properties of exponents ?

Solution :

Writing the function in numeric terms,

f of x equals 4 times one third to the 2 times x power

i.e. [tex]f(x)=4\times (\frac{1}{3})^{2x}[/tex]

Solve the expression,

[tex]f(x)=4\times (\frac{1}{3}^2)^{x}[/tex]

[tex]f(x)=4\times (\frac{1}{9})^{x}[/tex]

i.e. f of x equals 4 times one ninth to the x power.

Therefore, Option 1 is correct.