Answer:
The answer is "[tex]10 \ units^2[/tex]"
Step-by-step explanation:
Given:
[tex]C= \frac{1}{2}\\\\A_C= 40\\\\A_D= ?\\[/tex]
The factor of scale (c) is the ratio of the two polygons, and the area ratio is the scale factor square.
Formula:
[tex]\frac{A_D}{A_C} =C^2[/tex]
[tex]A_D = \frac{40}{4}\\\\A_D= 10[/tex]
A data set consists of 6 different whole numbers. The difference between the largest value and the smallest value is 21 and the median is 40. What is the largest possible mean of this data set?
Answer:
We have a data set with 6 whole numbers:
{A, B. C, D, E, F}
The median, in this case, will be the mean of the two middle numbers, C and D.
Median = (C + D)/2 = 40
We also know that the difference between the largest and the smallest number is 21, where the largest number is F and the smallest number is A, then:
F - A =21.
And the mean will be:
Now we want to take the largest possible numbers such that we end having the largest mean of the whole set, then we can start by taking:
(C + D)/2 = 40
Here we can just take:
C = 39
D = 41
Now our set is:
{A, B, 39, 41, E, F}
Now, A and B should be the largest possible whole numbers (and they must be smaller than 39
The two options are:
B = 38
A = 37
Now our set is:
{37, 38, 39, 41, E, F}
Now, remember that:
F - A = 21
F - 37 = 21
F = 21 + 37 = 58
Then our set will be:
{37, 38, 39, 41, E, 58}
And for E, we should pick the largest number that we could.
In this case, the only restrictions we have for E are that it must be larger than 41, and smaller than 58.
The largest number that meets those conditions is the number 57.
Then our set will be:
{37, 38, 39, 41, 57, 58}
And the mean of this set is:
Mean = (37 + 38 + 39 + 41 + 57 + 58)/6 = 45
Its not a quiz/test its homework thats due in a bit :)
Just to clear any misunderstandings that might arise
Answer:
MN = 25
Step-by-step explanation:
If LN=45, then the addition of both quantities will be 45.
LN = 3x + 2 + x + 19
3x + 2 + x + 19 = 45
4x + 21 = 45
4x = 45 - 21 = 24
x = 6
Now that we found the value of "x", we can find the lenght of MN
MN = x + 19
MN = 6 + 19
MN = 25
Hope it was helpful ;)
Answer: MN = 25
Step-by-step explanation:
Since the length is already given we just add the equations equal to it.
45 = 3x + 2 + x + 19 Combine like terms
45 = 4x + 21 Subtract 21 from both sides
24 = 4x Divide by 4
x = 6
Now we plug x into the equation needed.
X + 19
6 + 19 = 25
20 is what percent of 52? Round your answer to the nearest 10th
HELPPPP PLEASEE!!!
In 1990, Jamaica's population of 2,466,000 was expected to grow exponentially by 1.1% each year. What is the domain of the exponential function that represents the situation if
1990 represents year 0?
a. y _> 2,466,000
b. all real numbers
c. y_> 0
d. x _>0
Answer:
answer is b they all add up
Step-by-step explanation:
The domain of the exponential function can take values is option (B) all real numbers is the correct answer.
What is an exponential function?Exponential function involves exponents. An exponential function is an function with exponents where the exponent (or) a part of the exponent is a variable. The population increase or decrease can be modeled as exponential function.
For the given situation,
In 1990, Jamaica's initial population,P₀ = 2,466,000
Rate of population growth,r = 1.1% = 0.011
Let x be the number of years
Then the population growth can be written as
[tex]P(x)=P_{0}(1+r)^{x}[/tex] ------- (1)
Now substitute the above values,
⇒ [tex]P(x)=2466000(1+0.011)^{x}[/tex]
For x=0,
⇒ [tex]P(0)=2466000(1+0.011)^{0}[/tex]
⇒ [tex]P(0)=2466000(1)[/tex]
⇒ [tex]P(0)=2466000[/tex]
If we need to find the population growth in future years, we need to use positive values of x.
If we need to find the population growth in past years, we need to use negative values of x.
If we need to find the intermediate values, then we need to use rational numbers.
Hence we can conclude that the domain of the exponential function can take values is option (B) all real numbers is the correct answer.
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A mural is painted on the walls of a local business. It measures 7.5 ft long and 3.5 ft wide. The owner would like
to add a border, but it can only be bought in sections that are 1 yd long.
How many sections of border would need to be bought to go all the way around the mural?
Answer:
24 sections
Step-by-step explanation:
8 + 8 = 16
4+ 4 = 8
16 + 8 = 24
7. As x increases without bound, which of the following eventually has greater function values than all the others for the same value of z?
A. f(x) = 3x^2
B. f() = 2x ^3
C. f(x)3(2)
D. f(x) = 3x + 2
Answer:
Yh
Step-by-step explanation:gg
Answer:
the answer is that i truly am gay and that i will always be gay.
Step-by-step explanation:
Jackson, Christabelle and Janessa have $438. Jackson has 3 times as much money as Christabelle. Janessa has $263 more than Jackson. How much money does Jackson have?
Answer: Jackson has $75
Step-by-step explanation:
Step 1
Let the amount of money Christabelle has = x
Let the amount of money Jackson has = 3x
and the amount of money Janessa has= 3x+ 263
Such that the total money they all have which = $438 be expressed as
Christabelle's money +Jackson's money + Janessa's money= $438
x+ 3x+ 3x+ 263 = 438
Step 2 ---Solving
x+ 3x+ 3x+ 263=438
7x= 438-263
7x=175
x =175/7
x=25
Therefore,
Christabelle = $25
Jackson = 3x= 3 x25 = $75
Janessa= 3x+ 263= $75+263=$338
Read the excerpt from "Bone Detective."
Diane stood in front of a mirror and stuck out her tongue. It looked like a rosy pink welcome mat to her delicate insides. Her usual rubber mold formula was out of the question—too toxic. She wondered, What is safe to swallow, fast and easy to apply, and hardens quickly into a firm mold?
One of her horse-riding pals, a veterinarian named Mary Wright, had the answer: alginate. Mary told Diane that alginate was a pink gummy material used to make molds of teeth. If it was safe for pets, it should be safe for a tiger.
And people, too, Diane thought.
At her lab she mixed the alginate powder with water to form a paste. Standing in front of a mirror, she scooped up a blob and spread it on her tongue. She pressed it down with her fingers to get out any air bubbles. Not bad, she thought. Tastes just like spearmint. She decided to make an extra-thick mold to make it easier to peel off. So, she added another gloopy blog—and another.
With her thickened tongue hanging out, Diane padded around the lab doing odds and ends while the material set. After about 10 minutes, she peeled off the alginate slowly and carefully. It was fragile—bendable and easy to tear—but it made an excellent impression of her tongue.
Which action in the excerpt illustrates that Diane is dedicated to her work?
She makes a mold of her own tongue.
She performs odd jobs around the lab.
She stands in front of the mirror.
She goes horseback riding with a friend.
Answer:
A. She makes a mold of her own tongue.
Step-by-step explanation:
this question should go in English if i'm not wrong
Answer:
its A i just did the assignment
Step-by-step explanation:
i got it right
Select the correct answer.
What is the value of y in the triangle?
y
30°
60°
6
O A.
3
OB. 6
C. 673
D.
33
This is a special kind of right triangle, called a 30-60-90 triangle.
Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x[tex]\sqrt{3}[/tex]. And across from the 90 degree angle, the side is equal to 2x.
Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.
2x = 6
x = 3
Then, we are looking for the side opposite of the 60 degree angle. So its value is x[tex]\sqrt{3}[/tex].
x = 3
3 * [tex]\sqrt{3}[/tex] = 3 [tex]\sqrt{3}[/tex]
y = 3[tex]\sqrt{3}[/tex] (option D)
Hope this helps!! :)
The value of y for the given triangle will be 3√3, hence option (D) will be correct.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
Right angle triangles are triangles in which one angle is 90°.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
Given a right-angle triangle
Let the side opposite to 30° is perpendicular and the remaining y will be base.
By trigonometric relation
cosx = base/hypotenuse
cos30° = y/6
y = 6 × cos30° ⇒ y = 6 × √3/2
y = 3√3 hence the value of the hypotenuse or y will be 3√3.
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What is the expanded form of this number?
18.029
Step-by-step explanation:
18.029= (1×10)+(8×1)+(2×1100)+(9×1100)
Paul raised $48 for a local charity. Sara raised $8. How many times as much money did Paul raise than Sara?
Answer:
answer is 6
Step-by-step explanation:
48/8=6
hope this helps!
Answer:
6
Step-by-step explanation:
48/8=6
A rectangular garden is to cover 416 square feet of area. If the width is 10
feet less than the length, find the dimensions of the garden.
Answer:
Length = 26 feet, Width = 16 feet
Step-by-step explanation:
Let the length be l.
Width b = l-10
The area of a rectangular garden, A = 416 feet²
We need to find the dimensions of the garden. The area of a rectangular shaped object is given by :
[tex]A=lb\\\\l(l-10)=416\\\\l^2-10l-416=0\\\\l=26\ ft,-16\ ft[/tex]
Neglecting the negative value, the length of the garden is 26 feet and the width is 12-10 = 16 feet.
A man ran 20 miles in 2 hours. Calculate the average time that it took the man to run each mile in minutes.
Answer:
he ran 3 miles in 8 mins
Step-by-step explanation:
3r+2b
1) 2
2) 2b
3) 3
4) 3r
Answer:
the answer is 3r + 2b
Step-by-step explanation:
because they are two completely different terms, they need to have both same terms like: 2r + 3r= 5r, you can do that because they are like terms, Let me know if I'm right
what is the original length of a cube if, after a one-inch thick slice is cut from one of the sides the volume that remains is 180 cubic inches
Answer:
343 - 49 = 294? Yepper. So the answer is 7.
Step-by-step explanation:
Please give thanks to all my answers and please mark as brilliant and please follow me
Anna is 11 5/6 years old. Morgan is 1 1/3 years older than Anna and Jane is 1 1/4 years older than Morgan. How old is Jane?
Answer:
18
Step-by-step explanation:
A football field is 160 feet wide and 100 yards long from goal line to goal line. In feet, how far is it
from one corner of the goal line to the opposite corner of the other goal line (diagonally)? (Give
answer to the nearest foot). 1 yard = 3 feet.
Answer:
howdy
Step-by-step explanation:
Edward deposited $8,500 into a savings account 5 years ago. The simple interest rate is 3%. How
much money did Edward earn in interest?
Answer:
1275
Step-by-step explanation:Step-by-step explanation:
For us to get the Simple interest, we have to use the formula:
= PRT
= Principal × Rate × Time
= $8500 × 5% × 3
= $8500 × 5/100 × 3
= $8500 × 0.05 × 3
= $1275
Laura has two jobs to help pay for her weekly expenses.
• Laura can work at most 20 hours per week.
She needs to earn at least $120.
• Laura's dog-walking job pays $9.00 per hour.
• Laura washing cars pays $11.00 per hour.
Create the system of inequalities to model Laura's situation where x represents the hours she spends dog-walking
and y represents the hours she spends washing cars.
Answer:
x*$9.00 + y*$11.00 ≥ $120
x + y ≤ 20 hrs
Step-by-step explanation:
we have the variables:
x = hours she spends dog-walking
y = hours she spends washing cars.
We know that she wins $9.00 per hour of dog-waling, and she wins $11.00 per hour of washing cars, then the total amount of money she wins per hour is:
x*$9.00 + y*$11.00
And she needs to earn at least $120, then we have the inequality:
x*$9.00 + y*$11.00 ≥ $120
And we also know that she can work, at most, 20 hours per week, then:
x + y ≤ 20 hrs
Then the system of inequalities that represents this situation is:
x*$9.00 + y*$11.00 ≥ $120
x + y ≤ 20 hrs
tanks the question below
Answer:
Option AStep-by-step explanation:
Your choice is correct, this is A
y-intercept is the coordinate of the point at which discount is zero and amount spent is $7.5
Answer:
Option A
Step-by-step explanation:
Your choice is correct, this is A
y-intercept is the coordinate of the point at which discount is zero and amount spent is $7.5
is a rule that assigns each value of the independent valable to
one value of the dependent variable.
Answer here
Answer:
For different x values ,we get unique y value. So, Yes the Statement is true that , A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.
Step-by-step explanation:
Please help me! I'm confused. Also, do not put any nonsense answers please. Thanks!
Answer:
use order of operations, PEMDAS.
p(paranthesis), e(exponents), m(multiplication), d(division), s(subtraction).
3 + 3 x (-4) ÷ 2 ÷ (1 - (-5))
so first work with whats in parenthesis
3 + 3 x (-4) ÷ 2 ÷ 6
now, exponents, we dont have any, so move to multiplication.
3 + (-12) ÷ 2 ÷ 6
now, we will do division
3 + (-6) ÷ 6
3 + (-1)
now add
and you get
2
but 2 isn't an option so i must have done something wrong, but I believe your answer should be B. 3
I hope this helps you!
EDIT: IF ANYONE ELSE IS LOOKING AT THIS FOR HELP THE CORRECT ANSWER IS B. 3
Vrite down the mathematical name of this 3-D shape.

Answer:
cube
cuboid
cylindrical
sphere
cone
solve each equation below showing every step checking your solution is optional
Answer:
x=4
Step-by-step explanation:
Answer:
for question d, 58.3 repeated
Step-by-step explanation:
cross multiply 3x=175
175/3= 58.3 repeated or 58 and one third.
Angie and Kelly are playing a card game. Angie has 37 points. She has 5 points less than Kelly. How many points does Kelly have?
A) 42
B)45
C)32
Answer:
42 a
Step-by-step explanation:
brailest plz
Solve 20x - 8 = 18x + 6
Answer:
x = 7
Step-by-step explanation:
Combine like terms:
2x = 14
x = 7
Complete the table.
Original Price
Percent of Discount 25%
Sale Price $40
The original price is $53.33, as per linear equation.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."
Given, the percent of discount 25% = 0.25.
Sale price $40.
Let, the original price is x.
Therefore, [x - (x × 0.25)] = 40
⇒ (x - 0.25x) = 40
⇒ 0.75x = 40
⇒ x = (40/0.75)
⇒ x = 53.33
Therefore, the original price is $53.33.
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Pls 79 points and no fake I will report you
Answer:
A: False
B: False
C: True
D: False
E: True
Step-by-step explanation:
Every true answer has a reasonable amountable difference.
Surprised to see someone not faking for points?
Hope this helped!
Write this is standard form and give degree
Rewrite as equivalent rational expressions with denominator (2u
3)(x + 1)(u - 4):
5
Зи
2u2 - u - 3 2u2_1lu + 12
The equivalent rational expressions with denominator (2u - 3)(x + 1)(u - 4);
[tex]\frac{5}{(2u - 3)(u + 1)} , \frac{3u}{(2u-3)(u-4)}[/tex]
We want to rewrite the rational expression;
5/(2u² - u - 3), 3u/(2u² - 11u + 12)
Now, the denominator 2u² - u - 3;
From online factorization calculator, the factors of 2u² - u - 3 are;
(2u - 3) and (u + 1)
Similarly, the denominator (2u² - 11u + 12);
From online factorization calculator, the factors of (2u² - 11u + 12) are;
(2u - 3) and (u - 4)
Thus, our expressions are now;
[tex]\frac{5}{(2u - 3)(u + 1)}, \frac{3u}{(2u-3)(u-4)}[/tex]
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