The area of Nevada, based on map measurements converted to actual miles using the map's scale, is calculated to be approximately 156,800 square miles.
Explanation:The question relates to finding the area of the state of Nevada using its scaled measurements from a map. Given that the scale on the map is 1/2" to 20 miles, and the physical distances measured on the map are 8" wide and 12.25" long, we need to convert these measurements into actual miles before calculating the area. To do this conversion, we set up a proportion based on the scale given:
0.5 inch/20 miles = 12.25 inches/x milesBy cross-multiplying, we find that x, the actual length in miles, is approximately 490 miles. Having converted both the width (8" which is equivalent to 320 miles) and the length, we can now calculate the area of the trapezoid that represents Nevada. Assuming the shape is close to rectangular for simplicity, the area would be width × length, or:
Area = 320 miles × 490 miles = 156,800 square miles.
Carl can type 150 words in 3 minutes. How many words can he type in 1 minutes
Answer: 50 words per minute
Step-by-step explanation: You need to find the unit rate, so you solve 150=3x to get x=50
Does the bowling ball have more potential energy or kinetic energy just before it hits the ground
Yo sup??
Since you haven't mentioned the reference potential therefore we will consider it to be ground.
Since just before hitting the ground there is negligible amount of kinetic energy and also the velocity is very high hence we can say that it will have more kinetic energy than potential energy.
Hope this helps.
Given g(x) =
√x-4
and
h(x) = 2x-8.
What are the restrictions on the domain of goh?
Answer:
[6 , +∞[
Step-by-step explanation:
Domain of g is all x≥4
domain of f is all real numbers
domain of goh is all real numbers x that verify 2x-8≥4 ⇒ x≥6
The restriction on the domain of goh is x ≥ 4.
Explanation:To find the restrictions on the domain of goh, we need to consider the compositions of the two functions g(x) and h(x).
It is important to note that the square root function √x has a restriction on its domain. The expression inside the square root must be greater than or equal to zero. So, for g(x), we have x - 4 ≥ 0. Solving for x, we find that x ≥ 4.
Now, let's consider the composition goh(x). We substitute h(x) into g(x) as follows: goh(x) = g(h(x)) = g(2x-8).
The domain of h(x) is all real numbers, so we don't have any restriction for h(x). However, when we substitute h(x) into g(x), we must make sure that the resulting expression is within the domain of g(x), which is x ≥ 4. Therefore, the restriction on the domain of goh is x ≥ 4.
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In a group of 120 seventh graders. 30% have completed their science project. How many students have completed their science project.
Answer: 36
Step-by-step explanation:
120 students is the same as 100%, so you would divide 120 by 100 and your quotient would be 1.2 Then you multiply 30 by 1.2, since you would multiply 100 by 1.2 to get 120. 30×1.2=36. So 36 seventh graders have completed their science project.
I’m confused can someone help me
Answer:
1. This equation of m<a + m<c = m<b - m<c wouldn't be correct unless the measure of angle c was 0. So technically there is no statment to make that equation true.
2. Angle addition postulate.
3. Transitive property of equality.
4. Substitution property.
Step-by-step explanation:
You might want to recheck and see if these are the correct answer they seem to be to me. Im only in 10th grade so i kind of just learned this.
If you have any questions feel free to ask in the comments - Mark
Also when you have the chance please mark me brainliest.
A certain math teachers likes to keep a box of prizes to distribute to students. The math teacher likes to keep at least twice as many prizes in the box as she has students. If the math teacher currently has 109 students and the box has 88 prizes in it, Determine hw many prizes she would need to buy.
A. 109
B. 108
C. 130
D. 218
Option C
Math teacher would need to buy 130 prizes
Solution:
Given that,
Math teacher currently has 109 students and the box has 88 prizes in it
The math teacher likes to keep at least twice as many prizes in the box as she has students
So, she wants the number of prizes to be twice the number of students
Therefore,
number of prizes = 2 x 109 students
number of prizes = 2 x 109 = 218 prizes
The box has 88 prizes in it
Therefore, number of prizes she would need to buy is:
⇒ 218 - 88 = 130
Thus she would need to buy 130 prizes
helppppppppppppppppppppppp
GF = 11, GE = 28, HF = 14, [tex]DG=5\sqrt3[/tex]
Solution:
Given data:
DE = 11, GH = 14
In rectangle, opposite sides are equal.
DE = GF
GF = 11
Property of a rectangle:
The diagonals of a rectangle are equal in length and they bisect each other.
Half of diagonal GE = GH = 14
GE = 2 × GH
= 2 × 14
GE = 28
HF is also a half of the diagonal DF.
By property of a rectangle, GH = HF
HF = 14
Diagonal of a rectangle formula:
[tex]D=\sqrt{\text{length}^2+\text{breadth}^2}[/tex]
[tex]14=\sqrt{DG^2+11^2}[/tex]
Squaring on both sides, we get
[tex]196={DG^2+121}[/tex]
[tex]{DG^2=196-121}[/tex]
[tex]{DG^2=75}[/tex]
Taking square root on both sides, we get
[tex]DG=5\sqrt3[/tex]
Hence GF = 11, GE = 28, HF = 14, [tex]DG=5\sqrt3[/tex].
Solve for x.
x2 + 8x + 15 = 0
Answer: x=−3 or x=−5
Step-by-step explanation:
Step 1: Factor left side of equation.
(x+3)(x+5)=0
Step 2: Set factors equal to 0.
x+3=0 or x+5=0
x=−3 or x=−5
Answer:
These are the answers
Step-by-step explanation:
4 in.
10. Jaylon created this
stained-glass window.
The upper two corners are
quarter circles, each with a
radius of 4 inches. Find the
area of the window. Use
3.14 for .
26 in.
12 in. -
Answer:
305.12 square inches
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The area of the window is equal to the area of a rectangle, plus the area of two quarter circles plus the area of the smaller square between the two upper corners
so
Find the area of rectangle
[tex]A=(12)(26-4)=264\ in^2[/tex]
Find the area of the two quarter circle
[tex]A=2[\frac{1}{4}(3.14)(4^2)][/tex]
[tex]A=25.12\ in^2[/tex]
Find the area of the smaller square between the two upper corners
[tex]A=(12-8)(4)=4^2=16\ in^2[/tex]
The total area is equal to
[tex]A=264+25.12+16=305.12\ in^2[/tex]
Jaylon's stained-glass window consists of two quarter circles with a radius of 4 inches each and a rectangle with dimensions 4 inches (height) by approximately 25.12 inches (width). The total area of the stained-glass window is approximately 125.6 square inches.
To find the area of the stained-glass window that Jaylon created, we'll break it down into its constituent shapes: two quarter circles and a rectangle.
Quarter Circles:
Each quarter circle has a radius of 4 inches.
The formula for the area of a quarter circle is (1/4) * π * r^2, where r is the radius.
For each quarter circle:
Area = (1/4) * π * (4)^2
≈ (1/4) * 3.14 * 16
≈ 12.56 square inches (rounded to two decimal places).
Since there are two quarter circles, the total area contributed by the quarter circles is:
Total Area of Quarter Circles = 2 * 12.56
≈ 25.12 square inches.
Rectangle:
The rectangle's height is the same as the radius of the quarter circles, which is 4 inches.
The width of the rectangle can be found by calculating the circumference of a circle with a radius of 4 inches (since it will form the other two sides of the rectangle).
The circumference of a circle is given by 2 * π * r.
So, the width of the rectangle is:
Width = 2 * π * 4
≈ 25.12 inches.
Area of the rectangle:
Area = length * width
≈ 4 * 25.12
≈ 100.48 square inches.
Total Area:
The total area of the stained-glass window is the sum of the areas of the quarter circles and the rectangle:
Total Area = Area of Quarter Circles + Area of Rectangle
≈ 25.12 + 100.48
≈ 125.6 square inches.
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How are the properties of exponents used to rewrite expressions?
Answer: The five exponent properties are
Product of Powers: When you are multiplying like terms with exponents, use the product of powers rule as a shortcut to finding the answer. It states that when you are multiplying two terms that have the same base, just add their exponents to find your answer.
Power to a Power.: When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. ... Then multiply the two expressions together. You get to see multiplying exponents (raising a power to a power) and adding exponents (multiplying same bases).
Quotient of Powers.: When you are dividing like terms with exponents, use the Quotient of Powers Rule to simplify the problem. This rule states that when you are dividing terms that have the same base, just subtract their exponents to find your answer. The key is to only subtract those exponents whose bases are the same.
Power of a Product: The Power of a Product rule is another way to simplify exponents. ... When you have a number or variable raised to a power, it is called the base, while the superscript number, or the number after the '^' mark, is called the exponent or power.
Power of a Quotient.: The Power of a Quotient rule is another way you can simplify an algebraic expression with exponents. When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the exponent or power
You can use these any way you want to rewrite an equation.
Hope this helped
:D
The properties of exponents are rules to simplify expressions with powers, which include adding exponents when multiplying like bases, multiplying exponents when raising powers to powers, and subtracting exponents when dividing like bases.
Explanation:The properties of exponents are mathematical rules used to rewrite expressions involving powers in simpler or alternative forms. These properties are essential for performing operations with exponents and include rules for multiplying, dividing, and raising powers to powers.
Examples of Exponent Properties
Multiplying Powers with the Same Base: 10³ × 10² = 10³+2 = 10µ.
Raising a Power to a Power: (5³)⁴ = 5³×4 = 5¹², or 5 multiplied by itself 12 times.
Negative Exponents: 2.4 x 10⁻² tells you to move the decimal point to the left twice, which equals 0.024.
Application of Exponent Properties
To apply these properties, you would systematically use the appropriate rule based on the operation you're performing. For multiplication, add the exponents when the bases are the same. For powers, multiply the exponents. For division, subtract the exponents when the bases are the same. Using these rules simplifies complex expressions and makes it easier to work with exponents in algebra and science.
Luna mixes 3/4 cup of orange juice with 3/8 cups of cranberry juice. She gives 5/8 cup of the juice to mags. How much is left in Luna's glass?
Answer:
Step-by-step explanation:
A triangular right prism is cut perpendicular to the base. What is the shape of the cross section?
hexagon
rectangle
trapezoid
triangle
Alex flies airplanes. His plane ascends 100 feet above the ground level in 20 seconds. What is the rate of the ascension in feet per second?
You divide 20 by 100
What is the ratio between the pair of sides 50 m and 30 m?
Answer:
It is 5 to 3
Step-by-step explanation:
Which expression is equivalent to (3m^-1n^2)^4/(2m^-2n)^3? Assume M does not equal 0 and does not equal 0.
Answer:
[tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex] [tex]=\frac{81m^{2}n^{5}}{8}[/tex]
Step-by-step explanation:
[tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]
[tex]=\frac{(3^4m^{-4}n^8)}{2^3m^{-6}n^3}[/tex]
[tex]=\frac{(3^4m^{-4+6}n^{8-3})}{2^3}[/tex]
[tex]=\frac{3^4m^{2}n^{5}}{2^3}[/tex]
[tex]=\frac{81m^{2}n^{5}}{8}[/tex]
What is the value of X to the power of 3+4 when X equals six
Answer: x=279,936
Step-by-step explanation:
See attachment
Are the expressions -0.5(3x + 5) and -1.5x + 2.5 equivalent? Explain why or why not
Answer:
Step-by-step explanation:
-0.5(3x + 5) and -1.5x + 2.5
-0.5(3x + 5)...distribute the -0.5 thru the parenthesis
-1.5x - 2.5
no, these are not equivalent.... one is -1.5x + 2.5 and the other is -1.5x - 2.5....not the same
Answer:
Both expressions are not equal
Step-by-step explanation:
First expression is
-0.5(3x + 5)
By multiplying
-1.5x - 2.5
2nd expression is
-1.5x + 2.5
Only Sign is different with 2.5 in both cases
Delta pays Pete Rose $360 per day in the maintenance department at air port. Pete became I'll Monday and went home after 1/5 of a day. What did he earn on monday?
Answer:
$72 earned on monday
Step-by-step explanation:
Delta pays Pete Rose $360 per day in the maintenance department at air port. Pete became I'll Monday and went home after 1/5 of a day
Delta works for only 1/5 of the day
To get the amount earn , multiply the work done by the rate
[tex]\frac{1}{5} \cdot 360 =72[/tex]
So $72 earned on monday
Pete Rose earns $360 per full day of work. On Monday, he worked for 1/5 of the day before becoming ill. By calculating 1/5 of his daily rate, we find that Pete earned $72 for that day.
Explanation:The student's question is about calculating Pete's earnings for the part of the day he worked before he became ill. Since Pete earns $360 for a full day, we want to find out what he earns for 1/5 of that day, as 1/5 of the day is the amount of time he worked before going home.
Step-by-Step CalculationFirst, determine Pete's daily earnings, which is given as $360.Since Pete worked only 1/5 of the day, we multiply his daily earnings by the fraction of the day worked, which is 1/5.This calculation is done by dividing the daily earnings by 5: $360 ÷ 5.The result is $72, which is the amount Pete earned for the part of the day he worked.Therefore, on Monday, Pete earned $72.
Solve for y.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
-65y + 19 < -2y +41
Answer:
y>- 22/63
Step-by-step explanation
-65y+19<-2y+41
-65y+2y<41-19
-63y<22
y>-22/63
The solution to the inequality is y > -22/63.
How to solve for yTo solve the inequality -65y + 19 < -2y + 41 for y, we'll follow these steps:
-65y + 19 < -2y + 41
First, we'll combine like terms by moving the terms with y to the left side and the constant terms to the right side:
-65y + 2y < 41 - 19
-63y < 22
Next, we'll isolate y by dividing both sides of the inequality by -63. Remember that when we divide by a negative number, the inequality sign flips:
y > 22 / -63
Simplifying the fraction:
y > -22/63
Therefore, the solution to the inequality is y > -22/63.
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An explanation would be appreciated! Will mark BRAINLIEST for best answer! #3
Answer:8:24
Step-by-step explanation:
So since it is 1:3 and 2 dozen is 24 so 24 divided by 3 = 8 so now it’s 8:24
what is 12 divided by 3045 and a mixed number
Answer:
253.75
Step-by-step explanation:
PLZ HELP I WILL GIVE BRAINLIEAST FOR FIRST LEGIT ANSWER!!
Rectangle PQRS is rotated 90° clockwise about the origin.
Answer:
R' (-4,1)
Step-by-step explanation:
Since the current coordinates is (-1, -4) and when rotating clock wise it would put into the second quadrant, which would mean the points would flip and the sign for the Y coordinate would change.
Answer:
i think the answer is A R' (4, -1)
The shape below is transformed to another shape.
Which shape could be its image?
Answer:
The 4th Image
Step-by-step explanation:
what is the value of y?
Answer:
see here our answer is 60 degrees now how I will tell u see u know the sum of triangle that is 180 degrees now add up. y +y + 60 = 180 and solve it u will get ur correct answer
comment if u have doubt
Answer:
60
Step-by-step explanation:
Because you would 180/3 and will get 60
Steve is trying to determine the proper rectangular pan to use for his banana bread recipe. He has four different pans that he can use, each with the same length and width but all with different heights. If Steve has 112.5 cubic inches of banana bread batter, and the base of each pan is 45 square inches, what is the height of the pan that he should use for the batter to completely fill the pan? A. 1.75 inches B. 2.5 inches C. 3.25 inches D. 4 inches
Answer:
it is B 2.5
Step-by-step explanation:
The height of the pan that he should use for the batter to completely fill the pan is 2.5 inches.
What is Volume?From this interactive, formula for volume is V = l w h (volume equals length times width times height) and can also be written V = B h (volume equals the area of the base times the height).
The volume is equal to the product of the area and height of the shape. Volume = Base Area x Height.
Given:
Base Area= 45 sq. inches
Volume= 112.5 cubic inches
So,
Volume= Base Area x Height
112.5 = 45 x Height
Height= 112.5 / 45
Height = 2.5 inches
Hence, the height of the pan that he should use for the batter to completely fill the pan is 2.5 inches.
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Three cylinders have a height of 8 cm. Cylinder 1 has a radius of 1 cm. Cylinder 2 has a radius of 2 cm. Cylinder 3 has a radius of 3 cm. Find the volume of each cylinder.
Answer:
Step-by-step explanation:
The volume formula for a cylinder is B*h
B : the area of the base
h : the height
Cylinder 1
The volume is 8pi
Cylinder 2
The volume is 32pi
Cylinder 3
The volume is 72pi
Answer:
Cylinder 1: V = 8π
Cylinder 2: V = 32π
Cylinder 3: V = 72π
Step-by-step explanation:
The volume of the cylinder of radius r and height h is calculated using the form: V = π r² h
Cylinder 1: r = 1 cm and h = 8 cm
Volume of Cylinder 1 = π r² h = π 1² * 8 = 8π
Cylinder 2: r = 2 cm and h = 8 cm
Volume of Cylinder 2 = π r² h = π 2² * 8 = π * 4 * 8 = 32π
Cylinder 3: r = 3 cm and h = 8 cm
Volume of Cylinder 1 = π r² h = π 3² * 8 = π * 9 * 8 = 72π
What is the equation of the line that passes through the point 7,-3 and has a slope of -5
Answer:
Y=-5x+32
Step-by-step explanation:
So you would plug in (7,-3) into y=mx+b. Solve the problem and you get -3=-35+b. So b would equal 32 because -35+32 is -3
a persona initials are created using first letter of their first name, middle name, and last name. How many initials are possible?
Answer:
17576 Combinations.
Step-by-step explanation:
There are 26 letters in the Current English Lexicon (Alphabet), If there are 3 letters in a person's initials, then our equation would turn out to be "26³ = 17576". So, There are 17576 different possible combinations.
Final answer:
The total number of possible initials a person can have, using the first letters of their first name, middle name, and last name in the English alphabet, is 17,576. This is calculated by multiplying the number of alphabet letters (26) for each initial, resulting in a product of 26 x 26 x 26.
Explanation:
To calculate the number of possible initials a person can have from their first name, middle name, and last name, we must consider that each initial can be any letter from the English alphabet, which has 26 letters. Since each initial is independent of the others, the total number of possible initials is found by multiplying the number of options for each initial together.
The calculation is as follows:
First name initial: 26 possibilities (A-Z)
Middle name initial: 26 possibilities (A-Z)
Last name initial: 26 possibilities (A-Z)
So, the total number of possible initials would be:
26 (for the first name) x 26 (for the middle name) x 26 (for the last name) = 17,576 possible initials.
I need someone to help me on this Solve -17<-195-r
Answer:
r > -178
Step-by-step explanation:
Solving the equations means to find what "r" can be for the equation to be true.
If the sign < confuses you, you can always write = then change it back.
To find "r", we need to isolate it. To do this, we move "r" to the left side, and every other number to the right side. When you move something to the other side, remember you need to do the reverse operation on both sides.
I want to move -195 first. The opposite is +195.
-17 < -195 - r
-17 + 195< -195 + 195- r Add 195 to both sides. 195 cancels out on the right
-17 + 195 < -r Simplify left right by add 195 to -17
178 < -r The opposite of multiply by -1 is divide by -1.
178/-1 < -r/-1 Divide both sides by -1.
178/-1 < r "r" is isolated now. Simplify left side
-178 < r Answer is found. Put variable on left side. Remember the keep the open side of the symbol facing "r".
r > -178 The solution is when "r" is greater than -178.
The graph shown is a scatterplot which point on the scatterplot is an outliner??Help
Answer:
d
Step-by-step explanation: