Answer 3.a,3.b,3.c for 20 points
write this ratio in another way 11/12
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.
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.
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.
The dimensions of a parallelogram are reduced by half of its original dimensions. Determine how the perimeter of the parallelogram will be affected by the change in the dimensions of the original parallelogram..
reduced by a factor of one-fourth
reduced by a factor of one-half
increased by a factor of two
increased by a factor of four
Answer:
reduced by a factor of one-half
Step-by-step explanation:
Let one side of the parallelogram be 'a'
and the other side of the parallelogram is 'b'
Therefore the perimeter of the parallelogram given by,
P = 2 ( a + b )
Now when the dimensions are reduced to half of its original dimensions.
Then,
one side of the parallelogram be a/2
and the other side of the parallelogram is b/2
Now the new perimeter will be
P = 2 ( a/2 + b/2 )
P = 2 { (a + b)/2 }
P = a + b
Thus this clearly shows that the perimeter is reduced to one-half of the original perimeter when the dimensions are reduced by half.
Plz answer both for 10 points.!!! Thx for the help.
give the quotient and remainder for 693 divide by 16
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.
Learn more about Inverse function here:https://brainly.com/question/38141084
#SPJ11
In the United States, travel and tourism supported more than _____ jobs in the year 2010 alone.
A.5 million
B.7.5 million
C.15 million
D.20 million
will give brainliest just please answer correctly.............Im so bad at math :(
Answer:
7.5 million
Step-by-step explanation:
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?
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.
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)
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
anwser the question quickly!
In the kite ABCD m ACD=105 and m DAB=100. Find m DCB
Use the commutative property of multiplication to write a related multiplication sentence 3 x 4 = 12
what property is 2p+(3q+2)=(2p+3q)+2
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
Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place.
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
Garrick and Zan are measuring the heights of seedling plants for science class.
Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.
CLEAR CHECK
Because Garrick's plant is... than Zan's plant, each millimeter of error results in a ....percent error.
Garrick's measurement was ... millimeters off and Zan's was... millimeters off, so Garrick's measurement was ... % off and Zan's was
Answer: Garrick's plant is shorter than Zan's plant.
Each millimeter of error results in a 11.11% percent error.
Garrick's measurement was 2 millimeters off and Zan's was 12 millimeters off.
Garrick's measurement was 20% off and Zan's was 12% off.
Step-by-step explanation:
Since we have given that
In case of Garrick's plant:
Actual height of his plant = 10 mm
Measured height of his plant = 8 mm
In case of Zan's plant :
Actual height of his plant = 100 mm
Measured height of his plant = 88 mm
So, clearly Garrick's plant is shorter than Zan's plant.
Difference in actual height of plants of Garrick and Zan is
[tex]100\ mm-10\ mm=90\ mm[/tex]
similarly, difference in measured heights of plants of Garrick and Zan is
[tex]88\ mm-8\ mm\\\\=80\ mm[/tex]
Percent error will be
[tex]\frac{90-80}{90}\times 100\\\\=\frac{10}{90}\times 100\\\\=11.11\%[/tex]
So, Each millimeter of error results in a 11.11% percent error.
Error in Garrick's plant :
[tex]Actual-Measured\\\\=10-8\\\\=2\ mm[/tex]
Percent error is given by
[tex]\frac{2}{10}\times 100\\\\=20\%[/tex]
Similarly,
Error in Zan's plant ;
[tex]Actual-Measured\\\\=100-88\\\\=12\ mm[/tex]
Percent error is given by
[tex]\frac{12}{100}\times 100\\\\=12\%[/tex]
Garrick's measurement was 2 millimeters off and Zan's was 12 millimeters off.
So, Garrick's measurement was 20% off and Zan's was 12% off.
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?
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?
Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
A picture of a rectangle is shown with one side labeled as x-4 and another side labeled as 5x+2
A) 5x^2 + 18x - 2
B) 5x^2 + 13x + 2
C) 5x^2 - 18x - 8
D 5x^2 + 13x + 8
What is the area of this figure? Enter your answer in the box.
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:
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
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:
1 Design your own real-world scenario in which the solution requires the Pythagorean Theorem. Use complete sentences to describe the scenario.2 Model your real-world scenario with an equation and a sketch.3 In two or more complete sentences, explain the steps necessary to solve for the missing value in your real-world scenario. Include the solution in your explanation.