Answer:
377 is answer
Step-by-step explanation:
12.33-25 +6
396-25+6
377
Determine the degree measure of one angle of a 45-sided regular polygon.
The measure of an interior angle (in degrees) of an [tex]n[/tex]-sided regular polygon is [tex]\frac{180(n-2)}{n}[/tex].
[tex]n=45 \implies \frac{180(n-2)}{n}=\boxed{172^{\circ}}[/tex]
The degree measure of one angle of a 45-sided regular polygon is 172°.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Here, the polygon has 45 sides.
To find the measure of an interior angle of a regular polygon,
we make use of the formula for each angle = (n - 2) × 180 / n.
The formula calculated is only valid in cases of regular-sided polygons.
n = 45 substituting the value of n to the formula.
(n - 2) × 180 / n
= 180 ( 45-2) / 45
= 180 x 43 / 45
= 7740 / 45
= 172°
Therefore, the measure of one angle is 172°.
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The formula v(t)=14t+29 represents the cost of renting a moving van. The variable t represents the number of hours the moving van is rented for. If the cost of renting the
moving van is $439, how many hours was it rented for? Round to the nearest whole number.
Answer:
29 hrs
Step-by-step explanation:
439 = 14t + 29
439-29 = 14t
410 = 14t
t = 410/14
t= 29.28
t = 29
PLEASE HLEP I WILL MARK U BRANLIEST I REALLY NEEED HELPPPP
Answer:
Step-by-step explanation:
-1<x<0
x<0
so x is negative.
Hence -x is positive.
and -1<x
or
x>-1
or
x+1>0
x+5=x+1+4>0+4
hence x+5 is positive.
x is negative .
∴x-2 is negative.
f(x)=(+)×(+)×(+)×(-)=-
B
PLEASE ANSWER CLEARLY
Aisha is working two summer jobs, making $7 per hour babysitting and $8 per hour landscaping. Last week Aisha worked 2 more hours babysitting than hours landscaping and earned a total of $134. Write a system of equations that could be used to determine the number of hours Aisha worked babysitting last week and the number of hours she worked landscaping last week. Define the variables that you use to write the system.
The number of hours Aisha worked babysitting and landscaping last week is 7.9 hours and 9.9 hours respectively
Step-by-step explanation:
2. The ratio of the number of men to the number of women in a parade is 5:3. The ratio of the number of children to of adults is 1:2.
a) Find the ratio of the number of men to the number of women to the number of children.
b) If there are 1 440 people altogether, find the number of women.
The ratio of the number of men to women to adults is 5 : 3 : 4 and the number of women is 360
The ratio of the number of men to women to children.From the question, we have the following ratios that can be used in our computation:
Men : Women = 5 : 3
Children : Adults = 1 : 2
This means that
Children : Men : Women = 1 : 2(Men : Women)
So, we have the following representation
Children : Men : Women = 1 : 2(5/8 : 3/8)
Open the brackets
Children : Men : Women = 1 : 5/4 : 3/4
Multiply through by 4
Children : Men : Women = 4 : 5 : 3
Rewrite the ratio as
Men : Women : Children 5 : 3 : 4
The number of women in the paradeHere, we have
People = 1440
Recall that
Men : Women : Children 5 : 3 : 4
So, we have
Women = 3/(5 +3 + 4) * 1440
Evaluate the sum
Women = 3/12 * 1440
Evaluate the products
Women = 360
Hence, the number of women is 360
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Which of the following is NOT consistent with the display shown above?
The statement that is not consistent with the display of the graphs of the z-distribution and of the z-distribution is given as follows:
The critical value for the t-distribution with this degrees of freedom will be less than 0.68.
What is shown by the graph?The graph shows two curves, given as follows:
The z-distribution curve.The t-distribution curve.The z-distribution curve is more centered around the mean, meaning that most it's sample means will be closer to the mean than for the t-distribution.
Along the tails, the t-distribution curve is higher, meaning that it has a higher percentage of sample means around the tails and a higher critical value.
The critical value of 0.68 is for values one standard deviation for the mean for the z-distribution, while for the t-distribution it is higher, hence it is the false statement.
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Which side lengths form a right triangle?
Choose all answers that apply:
A
B
4, 8, 12
2, √/5,3
2,2, √8
Based on the Pythagorean theorem, the set of side of lengths that will form a right triangle are:
2, √5, 3
2, 2, √8
What are the Side Lengths that can Form a Right Triangle?Based on the Pythagorean theorem, any set of side lengths that will form a right triangle would have the following relationship:
b² = a² + c², where b is the longest side or the hypotenuse of the right triangle and "b and c" are the lengths of the legs of the triangle.
For side lengths, 4, 8, and 12, we have:
12² = 4² + 8²
144 = 16 + 64
144 = 80 [not true, cannot form a right triangle]
For side lengths, 2, √5, 3, we have:
3² = (√5)² + 2²
9 = 5 + 4 [true, this set will form a right triangle]
For side lengths, 2, 2, √8, we have:
(√8)² = 2² + 2²
8 = 4 + 4
8 = 8 [true, this set will form a right triangle]
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Question 1 options: James is observing the population of the fish he put into a pond. He built a pond and populated it with 900 fish. The population of the fish doubles every year.
The equation by using x represent the number of years and y represent the number of fish is y=900×(2)ˣ.
Given that,
James is keeping an eye on the fish population in the pond he created. He constructed a pond and added 900 fish to it. Every year, the fish population doubles.
We have to find the equation by using x represent the number of years and y represent the number of fish.
We know that,
We get
Number of fish at starting =900
Number of fish after 1 year =900×2=1800
Number of fish after 2 year =1800×2=3600=900×(2)²
Number of fish after 3 year =3600×2=7200=900×(2)³
So,
Here we can see that the number of fish are in Geometric progression (G.P) with a=900 and r=2
So,
Tₙ=arⁿ⁻¹
We get
y=900×(2)ˣ
Therefore, The equation by using x represent the number of years and y represent the number of fish is y=900×(2)ˣ.
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6. order from least to greatest. 0.4,4/6,40.5%,11/25
Answer:
Answer:
Step-by-step explanation:
[tex]0.4, 40.5, \frac{11}{25}, \frac{4}{9}[/tex]
Step-by-step explanation:Given numbers :
[tex]0.4, 40.5, \frac{11}{25}, \frac{4}{9}[/tex]
Let's convert percent and fraction into like decimals.
[tex]\frac{4}{9}\ = 0.444[/tex]
We know that to convert percentage into decimals, we need to divide it by 100, we get
[tex]40.5 = \frac{40.5}{100} = 0.405[/tex]
[tex]\frac{11}{25} = 0.400[/tex]
Now , placing the above decimal numbers in order from least to greatest
[tex]0.400, 0.405, 0.440, 0.444[/tex]
[tex]=0.4, 40.5, \frac{11}{25}, \frac{4}{9}[/tex]
Pronghorn Company purchased a delivery truck for $26,000 on January 12022. The truck has an expected salvage value of $1.280 and is expected to be driven 103,000 miles over its estimated useful life of 10 years. Actual miles driven were 12,700 in 2022 and 10,200 in 2023
compute the depreciation expense using
A) Striaght-line Method
B) Units Of Activity Method
C) Declining Balance method
The computation of the depreciation expense using the following methods are as follows:
2022 2023
A) Straight-line Method $2,472 $2,472
B) Units Of Activity Method $3,048 $2,448
C) Declining Balance method $5,200 $4,160
What is the depreciation expense?The depreciation expense is the periodic recognition of the cost for a long-term asset over its useful life.
The costs of long-term assets are spread over their estimated life through depreciation, depletion, or amortization.
The various depreciation methods include:
Straight-line methodUnit-of-activity methodDouble-declining-balance methodSum-of-the-years-digit methodModified accelerated recovery systems (MACRS).The cost of the delivery truck on January 1, 2022 = $26,000
Expected salvage value = $1,280
Depreciable amount = $24,720
Estimated useful life = 103,000 miles or 10 years
Depreciation Expenses:
Straight-line method = $2,472 annually ($24,720/10)
Units of activity method per mile = $0.24 ($24,720/103,000)
2022 = $3,048 (12,700 x $0.24)
2023 = $2,448 (10,200 x $0.24)
Declining-balance method rate = 20% (100/10 x 2)
2022 = $5,200 ($26,000 x 20%)
2-23 = $4,160 ($20,800 x 20%)
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A recipe requires 1 1/4 cups of sugar for every 1/3 of a cup of salt. What is the unit rate of salt to sugar in the recipe?
Answer:
3 3/4 cups of sugar per cup of salt
Step-by-step explanation:
To find the unit rate of salt to sugar in the recipe, we need to divide the number of cups of sugar by the number of cups of salt. In this case, the unit rate of salt to sugar is 1 1/4 cups of sugar divided by 1/3 of a cup of salt, which can be simplified to 3 3/4 cups of sugar per cup of salt.
Answer:
The unit rate of cups per teaspoon is 1 1/3
Step-by-step explanation:
-A recipe calls for 2 by 3 cup of sugar for every 1 by 2 teaspoon of vanilla.
Based on the above information, the calculation is as follows:
=(2/3)/(1/2)
=(2/3)/(1/2)
=(2/3)x(2/1)
=(2x2)/(3x1)
=(4/3)
= 1 1/3
Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term. f(x) = 2x+x5
Therefore the given function is a polynomial function consisting of the constant 0 and the leading term 1.
What is polynomial function?A polynomial function is a function in an equation that only employs non-negative integer powers or only positive integer exponents of a variable, such as in a quadratic equation, cubic equation, etc. For instance, the polynomial 2x+5 has an exponent of 1.
Here,
Exponents are positive integers for the polynomial function given.
The positive integer 2x has an exponent of 1.
[tex]x^{5}[/tex], where is a positive integer with exponent 5, and.
Real numbers like 5 and 1 are among the coefficients in the function.
Consequently, a polynomial describes the function.
Having a degree of 5, it is a polynomial.
A polynomial is written in standard form by beginning with the term with the highest exponent and writing the remaining terms in descending order of terms with lower exponents.
Standard form for the polynomial is f(x)=2x+ [tex]x^{5}[/tex].
consisting of the constant 0 and the leading term 1.
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Below are two parallel lines with a third line intersecting them.
Answer: 132 degrees
Step-by-step explanation:
Because the lines are parallel, and the line intersecting them is straight, the angle on top should be the same as the angle on the bottom.
So that makes x=132
1. In a triangle∆ABC, if DE is parallel to BC, AD
DB
=
3
4
and AC = 15 cm, then the length AE is:
(a) 45 (b) 23/7 (c) 1 (d) 45/7
The length of the segment AE on the triangle is 45/7
How to determine the length of AE?From the question, we have the following parameters that can be used in our computation:
DE parallel to BC,
Also, we have
AD/DB=3/4
The above parameters mean that
AD/AB = AE/AC
Also, we know that
AB = AD + DB
From the ratio values, we have
AB = 3 + 4
Evaluate the sum
AB = 7
Updating the initial ratio, we have
AE/15 = 3/7
Multiply both sides by 15
So, we have the following representation
AE = 15 * 3/7
Evaluate the products
AE = 45/7
Hence, the length of AE is 45/7
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Evan added -2 1/2+4 and got six 1/2 draw arrows on the number line to represent the problem and explains Evans error
Evan made a mistake to add. As the sign of 4 positive and the sign of [tex]2\frac{1}{2}[/tex]. The subtraction operation must be performed for this.
What is a number line?
The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever.
The given expression is
[tex]-2\frac{1}{2}[/tex] +4
It can be written as 4 [tex]-2\frac{1}{2}[/tex] .
Now perform the subtraction operation:
= 4 - 5/2
= (8-5)/2
=3/2
= [tex]1\frac{1}{2}[/tex]
The number line that represents the given operation is attached below.
Evan added 4 and [tex]2\frac{1}{2}[/tex] which is incorrect way.
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What is the solution to this equation
x^2+4x-12=0
Answer:
x = 2 or –6
Step-by-step explanation:
x² + 4x –12 = 0
x² +6x –2x –12 = 0
x(x + 6) –2( x + 6) = 0
(x–2)(x+6)= 0
x–2= 0
x= 2.
x+6= 0
x= –6
x = 2 or –6
Water boils at a minimum temperature of 100 degrees Celsius. Which inequality represents this scenario? 100 > b 100 < b 100 ≤ b 100 ≥ b
The inequality which represents the range of temperature at which water boils is 100 ≤ b thus, option (C) is correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given,
Water boils at a minimum temperature of 100 degrees Celsius.
Suppose b is the temperature at which water boils.
100 ≤ b
Hence "The inequality which represents the range of temperature at which water boils is 100 ≤ b".
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I need help with this
Answer:
D
Step-by-step explanation:
5*1 = 5
5*2 = 10
5*3 = 15
5*4 = 20
5*5 = 25
Jody takes out a 30-year mortgage for $300,000 at 3.524% APR. Her monthly payment is $1,350. She pays $186,175 in interest over those 30 years.
What is the total amount she will pay for the house?
If her monthly payment is $1,350. She pays $186,175 in interest over those 30 years. The total amount she will pay for the house will be $ 672175.
What is APR?The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on borrowing money in the form of interest but APR is applied annually.
It is given that, Jody takes out a 30-year mortgage for $300,000 at 3.524% APR. Her monthly payment is $1,350. She pays $186,175 in interest over those 30 years.
1 year = 12 month
30 year = 360 month
We have to find the total amount she will pay for the house,
Total amount = Monthly payment × 360 + intreast over 30 years
Total amount =1,350 × 360 + 186,175
Total amount =$ 672175
Thus, if her monthly payment is $1,350. She pays $186,175 in interest over those 30 years. The total amount she will pay for the house will be $ 672175.
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64 - (-2)⁵ ÷ 2³ + (-1)³ · (0.5)²
To solve this expression, we need to use the rules of order of operations, which dictate the order in which mathematical operations should be performed. The order of operations is typically abbreviated using the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Using the order of operations, we can solve the expression as follows:
64 - (-2)⁵ ÷ 2³ + (-1)³ · (0.5)²
= 64 - (-2)⁵ ÷ 8 + (-1)³ · 0.25
= 64 - (-32) ÷ 8 + (-1)³ · 0.25
= 64 + 32 + (-1)³ · 0.25
= 96 + (-1)³ · 0.25
= 96 + (-1) · 0.25
= 96 - 0.25
= 95.75
Therefore, the final result of the expression is 95.75
A teacher gives students independent reading 1/2 time for 1 hour,three times a week.Represent the total amount of reading time for a week as a mixed number and an improper fraction.
The aggregate sum of perusing time for seven days as a blended number and an ill-advised part will be 1 ¹/₂ hour.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
An educator gives understudies free understanding 1/2 time for 1 hour, three times each week.
The aggregate sum of perusing time for seven days as a blended number and an ill-advised division is given as,
⇒ 1/2 x 3
Simplify the expression, then we have
⇒ 1/2 x 3
⇒ 3/2
⇒ 1 ¹/₂ hours
The aggregate sum of perusing time for seven days as a blended number and an ill-advised part will be 1 ¹/₂ hour.
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What is the slant height of the cone?
The slant height of the cone is 12.6 units
What are solids ?
A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.
h= 12
diameter = d = 8
so, radius, r = d/2 = 8/2 = 4
Formula for slant height , l is:
l = √(h² + r²) = √(12² + 4² )
= √(144 + 16) = √160 = 12.649 ≈ 12.6 units
The slant height of the cone is 12.6 units
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X+3/2(-1/2x+5/3)+2=3x-1
Answer: x= 2
Step-by-step explanation:
X+3/2(-1/2x+5/3)+2=3x-1
= x - 3/4x + 15/6 +2 = 3x -1
= 1/4x + 15/6 + 2 = 3x -1
= 1/4x + 27/6 = 3x -1
= 1/4x + 33/6 = 3x
= 33/6 = 11/4 x
= x = 2
The_______states that the part equals the percent multiplied by the whole
The percentage equation states that the part equals the percent multiplied by the whole.
What is percent?
A percentage is a number that indicates how much is 100 and can also be expressed as a decimal or fraction.
What is Percentage Equation?
Percentage equations allow you to find parts or ratios of amounts (or wholes). Percentages are specified with a % sign after the number of hundredths.
The formula for percentage equation is given below
Percent=(Part/Whole)x100
Example: 45 is 60% of what number?
Modifying the above percentage equation, we get
Whole= (Part/Percent) x 100
⇒Whole= (45/60) x 100
⇒Whole= (3/4) x 100
⇒Whole= 3 x 25
⇒Whole= 75
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PLEASE HELP ME WITH THIS QUESTION
Draw an example of a polynomial with
-Degree of 5
-Positive lead coefficient
-Zeros at -5, -2, 0, 3, 6
The required polynomial is x⁵ - 2x⁴ - 35x³ + 36x² + 180x.
What is a polynomial?A polynomial is an algebraic expression.
A polynomial of degree n in variable x can be written as,
a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.
Given, We have to construct a polynomial of degree 5, a positive lead
co-efficient and zeros or roots are -5, -2, 0, 3, 6.
If roots are -5, -2, 0, 3, 6 factors are (x + 5), (x + 2), (x + 0), (x - 3), (x - 6).
∴The required polynomial is (x + 5)(x + 2)(x + 0)(x - 3)(x - 6).
= x(x + 5)(x + 2)(x - 3)(x - 6).
= (x² + 5x)(x² - 3x + 2x - 6)(x - 6).
= (x² + 5x)(x² - x - 6)(x - 6).
= (x² + 5x)(x³ - 6x² - x² + 6x -6x + 36).
= (x² + 5x)(x³ - 7x²+ 36).
= x⁵ - 7x⁴ + 36x² + 5x⁴ - 35x³ + 180x.
= x⁵ - 2x⁴ - 35x³ + 36x² + 180x.
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Type the expression as a radical.
Step-by-step explanation:
in a fraction as exponent the numerator defines the pure exponent of the base, and the denominator gives the degree of root of the base.
so, this is
[tex] \sqrt[5]{y^{3} } [/tex]
Answer:
[tex] \sqrt[5]{ {y}^{3} } [/tex]
Step-by-step explanation:
When converting an expression with a fractional exponent to its radical form, the base number goes inside the radical(which means it becomes the radicand) along with the numerator(which remains an exponent). Whereas the denominator of the exponent becomes the index, or what dictates whether the radical is a square root, cube root, etc.
EX:
[tex] {y}^{ \frac{a}{m} } = \sqrt[m]{ {y}^{a} } [/tex]
Topic: Simplifying Fractions
Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (including zeroj depending on your answer
Simplify to lowest terms and find an equivalent fraction that has a denominator of 32.
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Question : 9782
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The equivalent fraction for 12/16 will be A. 3/4, 24/32
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.
It should be noted that equivalent fraction for 12/16 will be found by reduction to lowest term. This will be:
12/16 = 3/4
Also multiply the numerator and denominator by 8 will give 24/32. In conclusion, the correct option is A.
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A group of friends wants to go to the amusement park. They have no more than $85 to spend on parking and admission. Parking is $9.75, and tickets cost $10.75 per person, including tax. Use the drop-down menu below to write an inequality representing pp, the number of people who can go to the amusement park.
The maximum number of individuals who can visit the amusement park is 4.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question
The number of persons who can visit the theme park will be determined by the inequality that can be used to compute x and the information provided in the question:
8 + 23(x) ≤ 100
8 + 23x ≤ 100
23x ≤ 100 - 8
23x ≤ 92
x ≤ 92/23
x ≤ 4
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What is the equation in slope-intercept form of the line that passes through the point (3,4) and is parallel to the line represented by y=3x−2?
y=3x+7y
y=3x−5y
y=−3x+5y
y=−3x−7
The equation in slope-intercept form of the line that passes through the point (3,4) and is parallel to the line represented by y=3x−2 is y = 3x - 5.
How to represent equation in slope intercept form?The equation of a line can be represented in slope intercept form, point slope form, standard form and general form.
Linear equation in slope intercept form is as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the line that passes through the point (3,4) and is parallel to the line represented by y = 3x −2.
parallel lines have the same slope.
Therefore, the slope of the line is 3.
The y-intercept can be found as follows:
using (3, 4)
y = 3x + b
4 = 3(3) + b
b = 4 - 9
b = -5
Therefore, the equation in slope intercept form is y = 3x - 5.
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Twenty-five people in a survey were asked to give their current checking account balances. Use the balances shown in the following list to complete the frequency distribution table.
$220
$337
$29
$60
$201
$519
$462
$290
$131
$572
$227
$111
$124
$509
$331
$306
$439
$28
$504
$431
Fill in the missing information.
Class Intervals
Class Frequency
(Account Balances) (Number of People)
$0-$99
$431
$83
$451
$417
$341
CIP
Twenty-five people in a survey were asked to give their current checking account balances and the frequency = 4.
What is frequency and example?
The frequency of a particular data is the number of times the data value occurs. We represent the frequency of a data value by f. For example, if five students got an A in science, and then the grade A is said to have a frequency of 5.Given that;
Class intervals Class frequency
(Account Balance) (No of people)
$0 - $99 ?
Entries in this ($0 - $99) range are $29 , $60 , $28 , $83 = 4
Therefore, class frequency (no of people) = 4
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