A triangle in the coordinate plane has coordinates of (2,3), (-4,-5), and (-2, 4). It is reflected about the y-axis. What are its new coordinates?
A) (-2,3), (4,-5), (2,4)
B) (-2,-3), (4,5), (2,-4)
C) (2,-3), (-4,5), (-2,-4)
D) (-2,-3), (-4,-5), (-2,-4)
Please help!! Write a real-world problem for each inequality. 3x + 10 > 30
Answer:
I have the same question but instead of 30 its 10.
Step-by-step explanation:
70 POINTS!!!!!!!!!!!!!! HELP PLEASE
1. Apply the properties of integer exponents to write equivalent numerical expressions. Show all work.
Ex. 32 • 3-5 = 3-3 =
a. 4^1 • 4^2
b. 5^3 • 5^-6
c. 32 • 31
d. 6^5 • 5^-7
2. Select two of the above expressions (one multiplication and one division) and explain how you simplified them.
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
When bases are same in multiplication, add exponents.
1) a. 4^1 × 4^2
4^(1+2)
4^3
b. 5^3 × 5^-6
5^(3+-6)
5^(-3)
c. 3^2 × 3^1
3^(2+1)
3^3
d. 6^5 × 5^-7
0.0995328
2. I added the exponents. For the last one, I evaluated by calculator.
The perimeter of a rectangle is 60 meters.if the length of the rectangle is 14 meters.what is the width of the rectangle?
Final answer:
To find the width of a rectangle given its length and perimeter, apply the formula for the perimeter of a rectangle and solve for the width.
Explanation:
The width of the rectangle can be found by using the formula for the perimeter of a rectangle:
P = 2(length + width)
Given that the length is 14 meters and the perimeter is 60 meters, you can substitute these values to find the width.
60 = 2(14 + width)
60 = 28 + 2w
2w = 32
w = 16
Therefore, the width of the rectangle is 16 meters.
Rebecca left her house and walked 2 blocks east. She turned and walked 5 blocks north to get to the library. If each block is 1/4 of a mile, how far is he direct route from Rebecca’s house to the library?
Rebecca's direct route from her house to the library is approximately 1.35 miles, calculated using the Pythagorean theorem with her eastward walk of 0.5 miles and northward walk of 1.25 miles (2 blocks east and 5 blocks north, each block being 1/4 mile).
To find the direct route from Rebecca's house to the library, we can use the Pythagorean theorem since the distance forms a right triangle.
First, we calculate the distance Rebecca walked east: 2 blocks * (1/4 mile/block) = 1/2 mile.
Then, we find the distance she walked north: 5 blocks * (1/4 mile/block) = 5/4 miles.
Next, we square both distances: (1/2)^2 = 1/4 and (5/4)^2 = 25/16.
Now, we add these squares together: 1/4 + 25/16 = 16/64 + 100/64 = 116/64.
Taking the square root gives us the direct route distance: √(116/64) ≈ √1.8125 ≈ 1.35 miles.
So, the direct route from Rebecca's house to the library is approximately 1.35 miles.
Kelly builds a dog run that is 3 feet wide and has an area of 12 square feet. The length of the dog run is feet. Kelly's brother builds another dog run that is also. 3 feet wide, but its area is double that of Kelly’s dog run. What is he length of Kelly’s brother’s dog run?
On the freeway, it is unsafe to drive too slowly or too quickly. The safest driving speeds on the freeway near Allan's town were scientifically determined to be between the minimum and maximum speeds (in miles per hour) according to the equation lx-551 42. Which equation can be used to determine the maximum safe driving speed?
X-55=4.2
X-55=-4.2
X+55=4.2
X+55=-4.2
Step-by-step explanation:
the first option is the right answer
Answer 3.a,3.b,3.c for 20 points
give the quotient and remainder for 693 divide by 16
A number that is formed by repeated multiplication by the same factor is a
An exponential number is the product of the base multiplied by itself "n" times.
A number that is formed by repeated multiplication by the same factor is called an exponential number or a power. It is typically represented in the form "a^n," where "a" is the base and "n" is the exponent. The exponent indicates how many times the base is multiplied by itself.
For example:
2³ is read as "2 raised to the power of 3," and it means 2 × 2 × 2 = 8.
3² is read as "3 raised to the power of 4," and it means 3 ×3 × 3 × 3 = 81.
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A cross section of an attic is shaped like a trapezoid. It has an area of 37.4 square meters one base is 6.4 meters and the other base is 12.3 meters long. What is the height of the cross section
Final answer:
To find the height of the trapezoid, use the formula for the area of a trapezoid which is (1/2) x (sum of bases) x height. Calculate the height by substituting the given values for the area, and the lengths of the bases into the formula to find the height as 4 meters.
Explanation:
Area of a trapezoid = (1/2) x (sum of bases) x height
Given area = 37.4 m², base1 = 6.4 m, base2 = 12.3 m
37.4 = (1/2) x (6.4 + 12.3) x h
37.4 = (1/2) x 18.7 x h
h = (37.4 x 2) / 18.7 = 4 meters
A rectangular prism has a length of 1 1/2 meters, a width of 3 meters, and a height of 5 1/2 meters. Enter the volume of the prism as a mixed number in simplest form in the box. m³
Answer:
Simplest for 36 1/5
Step-by-step explanation:
25 + 156 + 1/2 = 363/2 = 181 1/2
181÷5=36 R1
181.5=36 1/5
a regular hexagon has a radius of 20in what is the approximate area of the hexagon
Answer:
B- 1,038 in.2
Step-by-step explanation:
edge 2022
Last year, a property manager bought five identical snow shovels and six identical bags of salt. The total cost of the snow shovels was $172.50, before tax and each bag of salt cost $6.20, before tax.
This year, the property manager bought two identical snow shovels and four identical bags of salt. The total cost of the snow shovels was $70.38, before tax, and the total cost of the bags of salt was $26.04, before tax.
Determine the item with the greatest percent increase in the rice from last year to this year. Be sure to include to the precent increase of this item to the nearest percent.
The item with the greatest percent increase in price from last year to this year is the bag of salt, with a 5% increase.
The item with the greatest percent increase in price from last year to this year is the bag of salt, with a 5% increase, compared to the 2% increase for the snow shovels.
To determine the item with the greatest percent increase in price from last year to this year, we need to calculate the price per unit for each item both years and compare the percentage increases. Last year, the property manager bought five snow shovels for $172.50, meaning each shovel costs $34.50 ($172.50 \/ 5). This year, two snow shovels cost $70.38, so each costs $35.19 ($70.38 \/ 2). To find the percent increase for the snow shovels, we subtract last year's price from this year's price, divide by last year's price, and multiply by 100: (($35.19 - $34.50) \/ $34.50) \times 100 = 2% (rounded to the nearest percent).
For the bags of salt, each cost $6.20 last year. This year, the total cost for four bags was $26.04, so each costs $6.51 ($26.04 \/ 4). Using the same formula for percent increase, we get the percent increase for the bags of salt: (($6.51 - $6.20) \/ $6.20) \times 100 = 5% (rounded to the nearest percent).
Therefore, the item with the greatest percent increase in price from last year to this year is the bag of salt, with a 5% increase.
cougar park is shaped like a parallelogram and has an area of 1/16 sqaure mile. Its base is 3/8 mile. What is its height?
The area of parallelogram can be found using the formula:
[tex] Area = b* h [/tex]
Where b= base length and h= height.
We are given :
Area =1/16 square mile and
Base = 3/8 mile
Plugging the values in the formula to find height,
[tex] 1/16 = 3/8* h [/tex]
height = 1/6 mile
So height of parallelogram is 1/6 miles.
Carl is going to make a frame for a picture. The dimensions of the frame need to be 2 feet by 18 inches. How long must the board be that Carl uses for his frame?
20 in.
20 ft
3 1/2ft
7 ft
Answer:
I answer is D
Step-by-step explanation:
7ft
I hope this helps! :)
Select all possible numbers that when replaced with the "?" in the set of ordered pairs {(3, 4), (–2, –5), (?, 0)} would create a function.
A.–5
B .–2
C. 0
D. 3
E. 7
Translate the algebraic expression shown below into a verbal expression
Fraction with variable x in numerator and 10 in the denominator.
A)The sum of ten and some number
B)The quotient of some number and ten
C)The product of some number and ten
D)The difference of ten and some number
Answer:
it is B)The quotient of some number and ten
Step-by-step explanation:
What is the area of this figure? Enter your answer in the box.
Andrew has $8.85 in dimes and quarters. the number of dimes he has is 3 more than twice his number of quarters. How many quarters does Andrew have?
WRITE AN INEQUALITY FOR EACH PRBLEM AND SOLVE 1. Arthur earned $136 in three weeks. he goes back to school in one more week. he needs at least $189 to buy the new coat that he wants for school. how much must arthur earn in the next week? 2. Marna is playing a game where you score -5 points each time you guess the correct answer. The goal is to get the lowest score. To win the game. Marna must have a score less than -80 points. How many correct answers does Marna need to win the game?
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Find the slope,including units, and write a sentence to interpret the slope in detail. Write an equation for the water level, y, after x days. In how many days will the water level be 26 feet? Graph the equation
Explanation of slope, equation, and days to reach a specific water level in a river.
Explanation:Slope: The slope represents the rate of change in water level per day. In this case, the slope is -0.5 feet/day, indicating that the water level is decreasing by 0.5 feet each day.
Equation: The equation for the water level after x days is y = 34 - 0.5x.
Days to reach 26 feet: To find when the water level will be 26 feet, you can solve the equation 26 = 34 - 0.5x to get x = 16 days. Therefore, it will take 16 days for the water level to reach 26 feet.
What is the inverse function of a(b)=12•b+9/2
To find the inverse of the function a(b) = 12b + 9/2, swap 'a' and 'b', then isolate 'b' by subtracting 9/2 and dividing by 12. This gives the inverse function as a = (b - 9/2) / 12.
Explanation:To find the inverse of a function, you need to rearrange the equation so that the independent variable 'b' becomes the dependent variable. In your function, a(b) = 12b + 9/2, first you need to solve for 'b'. Here are the steps:
Swap 'a' and 'b' to get: b = 12a + 9/2 Isolate 'b' by subtracting 9/2 from both sides: b - 9/2 = 12a Divide both sides by 12 to solve for 'a': a = (b - 9/2) / 12
So the inverse function of a(b) = 12b + 9/2 is a = (b - 9/2) / 12.
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A circle has a radius of 119.3 millimeters.
What is the circumference of this circle?
Use 3.14 for pi. Round your final answer to the nearest tenth.
Enter your answer as a decimal in the box.
mm
The cost of going to the big playland park for a family is given by C = 15x + 50, where C represents the cost and x represents the number of family members. How many family members went if it cost them $125?
Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place.
Create a pattern with the rule n+3
Answer:
6, 7,8,9,10
When we set n= 3
Step-by-step explanation:
Step one
The rule n+3 states that we are allowed to add 3 to any number starting from n
Step two
To practically express this rule
Say n = 3
The pattern is
= 3+3, 4+3, 5+3,6+3,+3
= 6, 7 ,8 ,9 ,10
In this exercise we have to create a pattern by placing a rule, so this pattern is:
[tex]n+3=5, 6, 8, 10...[/tex]
We know that it is not an unknown that can be any value, so the values of n will only be prime numbers and its formula can be described as:
[tex]n= prime \ numbers\\n+3= rule\\2+3=5\\3+3=6\\5+3=8\\7+3=10[/tex]
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The ratio of lipsticks to eyeshadow is 1:9. The ratio of eyeshadow to mascara is 3:2. Given I have 3 more eyeshadows than mascaras how many lipsticks do i have?
We can find L using [tex]\( L = \frac{1}{9}E \)[/tex]:
[tex]\[ L = \frac{1}{9} \times 9 = 1 \][/tex]
So, you have 1 lipstick.
To solve this problem, we'll work step by step.
Let's denote:
- L as the number of lipsticks.
- E as the number of eyeshadows.
- M as the number of mascaras.
Given:
1. The ratio of lipsticks to eyeshadows is 1:9, which means L:E = 1:9 .
2. The ratio of eyeshadow to mascara is 3:2, which means E:M = 3:2 .
3. You have 3 more eyeshadows than mascaras, so E = M + 3.
First, we'll use the information to establish the relationship between L, E, and M.
From the ratio L:E = 1:9, we can express L in terms of E:
[tex]\[ L = \frac{1}{9}E \][/tex]
From the ratio E:M = 3:2, we can express M in terms of E:
[tex]\[ M = \frac{2}{3}E \][/tex]
Now, we can substitute E = M + 3 into the equation for M:
[tex]\[ M = \frac{2}{3}(M + 3) \][/tex]
3M = 2(M + 3)
3M = 2M + 6
M = 6
Now that we have found M, we can find E using E = M + 3:
E = 6 + 3 = 9
Now that we have found E, we can find L using [tex]\( L = \frac{1}{9}E \)[/tex]:
[tex]\[ L = \frac{1}{9} \times 9 = 1 \][/tex]
So, you have 1 lipstick.
write this ratio in another way 11/12
Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this problem.
Brittany is painting a mural on one of the walls in her room. The mural is in a parallelogram-shaped frame. The area of the mural is 1056 in² and the base is 32 inches.
What is the height of the mural?
Enter your answer in the box.
[___]in
Answer:
The height is 33 inches.
Step-by-step explanation:
A=bh
1056=32xb
÷32 ÷32
33=h