the answer is 283.4
I can't write a formula
elsa made 20,000 in taxable income last year. Suppose the income tax rate is 10% for the first 9,000 plus 16% for the amount over 9,000
Answer:
Elsa's income tax for last year was 2,660 dollars.
Step-by-step explanation:
Are lines of latitude on a globe examples of lines in elliptic geometry? Explain why or why not.
Answer:
No, lines of latitude on a globe are not examples of lines in elliptic geometry. Elliptic geometry is a non-Euclidean geometry in which there are no parallel lines, and the sum of the angles in a triangle is greater than 180 degrees. However, lines of latitude on a globe are examples of lines in spherical geometry, which is a type of elliptic geometry. In spherical geometry, lines of latitude are great circles, which are the largest circles that can be drawn on a sphere and are analogous to the equator on Earth. Unlike lines in Euclidean geometry, great circles on a sphere do not maintain a constant distance from each other and intersect at two points on the sphere.
Step-by-step explanation:
89.600-47.131 How to regroup and show my work
By using all steps below we can regroup the 89.600 - 47.131 = 42.469.
What is the tenth place?The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredth place. The remaining digits continue to fill in the place values until there are no digits left.
To regroup and show your work for the subtraction problem 89.600 - 47.131, you can line up the numbers vertically with the decimal points aligned, like this:
89.600 - 47.131 =
Start by subtracting the one's place (0 - 1). Since 0 is less than 1, you need to borrow 1 from the tens place, which becomes 8 - 1 = 7.
The one place becomes 10 + 0 - 1 = 9.
89.600 - 47.131 = 2.469
Next, subtract the tenth place (0 - 3). Since 0 is less than 3, you need to borrow 1 from the one place, which becomes 9 - 1 = 8.
The tenth place becomes 10 + 0 - 3 = 7.
89.600 - 47.131 = 42.469
Finally, subtract the hundredth place (9 - 1), which gives 8.
89.600 - 47.131 = 42.469
Therefore, By using all the above steps we can regroup the 89.600 - 47.131 = 42.469.
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- TRAIN The table shows the number of riders on the train each day for
two weeks. Compare and contrast the measures of variation for
both weeks.
Number of Riders on the Train
Week 1
Day
Monday
Tuesday
Wednesday
Thursday
Friday
72
84
78
67
86
se 1 Chapter 11 Statistical Measures
Week 2
79
86
75
49
137
Answer:
8
Step-by-step explanation:
Number of Riders on the Train
Week 1
Day
Monday
Tuesday
Wednesday
Thursd
A worker earns 4000 naira per month,how much does he earn in 1/2 a year
The worker will earn 24,000 naira in 1/2 year
How to calculate the amount of money that the worker will earn?A worker earns 4000 naira per month
The amount he earns in 1/2 year can be calculated as follows
1/2 of a year is 6 months
The amount of money the worker will earn in six months can be calculated as follows
= 4,000 × 6
= 24,000
Hence the worker will earn 24,000 naira in 1/2 of a year(six months)
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Mr. Clark suspended 2 out of every 5 students in the 9th grade. If there are 200 total 9th grade students, how many were suspended?
Mrs. Kim buys 2 x pounds of ham. Mrs. Lee buys 2.5 less pounds than Mrs. Kim. If the amount Mrs. Lee buys is y pounds of ham, express y in terms of x.
the amount Mrs. Lee buys in pounds of ham is given by y = 2x - 2.5.
Why it is and what is pound ?
If Mrs. Kim buys 2x pounds of ham, then Mrs. Lee buys 2.5 less pounds, or (2x - 2.5) pounds of ham.
We are asked to express the amount Mrs. Lee buys in terms of x, so we can write:
y = 2x - 2.5
Therefore, the amount Mrs. Lee buys in pounds of ham is given by y = 2x - 2.5.
Pound is a unit of measurement used to quantify weight or mass. It is abbreviated as "lb" or "lbs" and is commonly used in the United States and other countries. One pound is approximately 0.45 kilograms.
The pound is defined as exactly 0.45359237 kilograms, which is based on the international avoirdupois pound. In everyday use, the pound is often used to measure the weight of objects such as food, animals, and people.
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Kevin uses 48 ounces of dried apples and 22 ounces of dried
cranberries to make a fruit snack. He plans to sell the snacks
in pound containers. How many containers will he fill? Will
any fruit snack be left over?
Kevin will have 6 ounces of fruit snack left over after filling the 4 pound containers.
Describe Measurement units?There are several systems of measurement units, including the International System of Units (SI), the United States customary system, and the British imperial system. The SI is the most widely used system and is based on seven base units, including the meter (length), kilogram (mass), second (time), ampere (electric current), kelvin (temperature), mole (amount of substance), and candela (luminous intensity).
To determine how many containers Kevin can fill, we need to first calculate the total weight of the fruit snack.
Total weight of the fruit snack = Weight of dried apples + Weight of dried cranberries
= 48 ounces + 22 ounces
= 70 ounces
Since there are 16 ounces in 1 pound, we can convert the total weight to pounds as follows:
Total weight in pounds = 70 ounces ÷ 16 ounces/pound
= 4.375 pounds
Therefore, Kevin can fill 4 pound containers with fruit snack, with 0.375 pounds of fruit snack left over.
To determine if any fruit snack will be left over, we need to convert the remaining weight of 0.375 pounds back to ounces:
0.375 pounds × 16 ounces/pound = 6 ounces
Therefore, Kevin will have 6 ounces of fruit snack left over after filling the 4 pound containers.
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In a certain study, the chances of encountering a car crash on the road are stated as "5 in 17." Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.
Answer:
Step-by-step explanation:
To convert a degree of likelihood to a probability value, we use the formula:
probability = number of favorable outcomes / total number of possible outcomes
In this case, the chances of encountering a car crash on the road are stated as "5 in 17", which means there are 5 favorable outcomes (encountering a car crash) out of 17 possible outcomes (driving on the road).
So, the probability of encountering a car crash can be calculated as:
probability = 5/17
This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 1 in this case. Therefore, the probability of encountering a car crash on the road is:
probability = 5/17 ≈ 0.2941
Since the probability value is between 0 and 1 inclusive, we can express the indicated degree of likelihood as a probability value of approximately 0.2941.
x
2
+7x=
�
x
Solving Quadratics by Factoring
The solutions to the quadratic equation [tex]X^2 + 7X = 0[/tex] are X = 0 and X = -7.
What is quadratic equation?
A quadratic equation is a polynomial equation of the second degree, which means it contains one or more terms that are raised to the power of two. The standard form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
where a, b, and c are constants, and x is the variable. The value of x that satisfies the equation is called the root or solution of the quadratic equation.
Quadratic equations can have one, two, or no real solutions, depending on the value of the discriminant [tex]b^2 - 4ac[/tex]. If the discriminant is positive, the equation has two real solutions; if it is zero, the equation has one real solution; and if it is negative, the equation has no real solutions but two complex solutions.
To solve the quadratic equation [tex]X^2 + 7X = 0[/tex] by factoring, we first write it in the standard form:
[tex]X^2 + 7X = 0[/tex]
Next, we factor out the common factor X:
X(X + 7) = 0
Now, we can apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. In this case, we have:
X = 0 or X + 7 = 0
Solving for X in each equation, we get:
X = 0 or X = -7
Therefore, the solutions to the quadratic equation X^2 + 7X = 0 are X = 0 and X = -7.
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Question:
[tex]X^2 + 7X = 0[/tex]
Solving Quadratics by Factoring
find the angle x in each question below. give reasons for your answer
The measure of x from the angles of the parallel lines are solved
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
Let the figure be represented as A
Now , let the missing angle be represented as x
a)
Let the figure be A
Now , the measure of m∠x = 125° ( corresponding angles )
So , the measure of angle x = 125°
b)
Let the figure be A
Now , the measure of m∠x = 57° ( alternate interior angles )
So , the measure of angle x = 57°
c)
Let the figure be A
Now , the measure of m∠x = 70° ( Vertically opposite angles are same )
So , the measure of angle x = 70°
d)
Let the figure be A
Now , the measure of m∠x = 180° - 105°( co interior angles add up to 180° )
So , the measure of angle x = 75°
e)
Let the figure be A
Now , the measure of m∠x = 180° - 53°( co interior angles add up to 180° )
So , the measure of angle x = 127°
f)
Let the figure be A
Now , the measure of m∠x = 180° - 133° ( corresponding angles )
So , the measure of angle x = 47°
Hence , the measures of angles are solved
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Use implicit differentiation to find the equation of the tangent line to the curve xy^3+xy= 14 at the point ( 7 , 1 ). The equation of this tangent line can be written in the form y = mx+b where m is:
and b is:
Answer: [tex]$m=-\frac{1}{22}$[/tex] [tex]$b=\frac{15}{22}$[/tex]
Step-by-step explanation:
To find the equation of the tangent line to the curve [tex]$xy^3+xy= 14$[/tex] at the point [tex]$(7,1)$[/tex] we need to first find the derivative of the equation with respect to x using implicit differentiation.
Taking the derivative of both sides with respect to x:
[tex]$\frac{d}{dx}(xy^3+xy)=\frac{d}{dx}(14)$[/tex]
Using the product rule and chain rule:
[tex]$y^3+x(3y^2\frac{dy}{dx}+y)=0$[/tex]
Simplifying and solving for [tex]$\frac{dy}{dx}$[/tex]
[tex]$\frac{dy}{dx}=-\frac{y}{3y^2+1}$[/tex]
Now we can substitute x=7 and y=1 into this equation to find the slope of the tangent line at the point (7,1):
[tex]$m=\left.-\frac{y}{3y^2+1}\right|_{(7,1)}=-\frac{1}{22}$[/tex]
So the slope of the tangent line is [tex]$-\frac{1}{22}$[/tex]
To find the y-intercept, we can use the point-slope form of the equation of a line:
[tex]$y-1 = m(x-7)$[/tex]
[tex]$y=mx+(1-7m)$[/tex]
Therefore, the equation of the tangent line to the curve [tex]$xy^3+xy=14$[/tex] at the point (7,1) can be written as:
[tex]$y=-\frac{1}{22}x+\frac{15}{22}$[/tex]
So [tex]$m=-\frac{1}{22}$[/tex] and [tex]$b=\frac{15}{22}$[/tex]
What is the area of this rhombus?
Enter your answer in the box.
m²
Answer:
area = 16
Step by step
there are a group of 80 students 90% of them are right handed. how many students are right handed?
Answer:
72 of the students are right handed.
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
90 x 80
100
= 72
i need help sadly
what is 60% of 120?
Please don't scam already got scammed 2 Times :(
The box plot represents the number of students who used a computer in the media center in 12 days.
A box plot uses a number line from 28 to 84 with tick marks every 1 unit. The box extends from 44 to 70 on the number line. A line in the box is at 60. The lines outside the box end at 30 and 82. The graph is titled Computer Use, and the line is labeled Number of Students.
Determine which of the following is the five-number summary of the data.
Min: 30, Q1: 48, Median: 62.5, Q3: 70, Max: 82
Min: 35, Q1: 48, Median: 61.5, Q3: 70, Max: 79
Min: 30, Q1: 44, Median: 60, Q3: 70, Max: 82
Min: 30, Q1: 48, Median: 61, Q3: 70, Max: 80
Answer: im sorry you got scamed :( but heres the answer the answer is C! Min: 30, Q1: 44, Median: 60, Q3: 70, Max: 82
Step-by-step explanation:
How do i know this? well if you look at the box plot it shows you that! it shows a tick on 30, 44, 60, 70 and 82 to its corresponding quartiles. and answer C is the only one that shows this. therefore the answer is C!
PLEASE ANSWER QUICK!!❌❌
Find the slope of a line perpendicular to the line whose equation is 9x - 3y = 81.
Fully simplify your answer.
Answer:
slope = 1/3
Step-by-step explanation:
9x-3y=81
-9x -9x
3y/3= -9x + 81/3
y = -3x +27
is perpendicular to...
y = 1/3x + 27
=. Xavier wants to buy a new TV. Before he goes to the store, he measures his TV and notes that it is 56 inches long and 33 inches wide. When Xavier gets to the store, he realizes that TVs are measured by their diagonal length! What is the diagonal length of his current TV?
The diagonal length of his current TV is 65 inches.
What is Pythagoras Theorem?Pythagoras theorem states that for a right-angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude. It can be used to find the diagonal of a rectangle if we know the length and the width.
As per the given data:
Length of the TV (l) = 56 inches
Width of the TV (b) = 33 inches
To find the diagonal length (d) of the TV:
From Pythagoras theorem:
[tex]d = \sqrt{l^2 +b^2}\\d = \sqrt{(56)^2 +(33)^2}\\d = \sqrt{3136 +1089}\\d = \sqrt{4225}\\d = 65 inches[/tex]
Hence, the diagonal length of his current TV is 65 inches.
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Dan has 16 pencils. Quentin gives him
5 more pencils. Choose all the ways you
can use to find how many pencils Dan
has in all.
016 +5
o 16 + 4+
o 16-5
The way we can find the pencil Dan has in total is 16+5
What is word problem?A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math.
This word problem are interpreted to mathematical equations.
San has 16 pencils with him before,
Quentin gives him more 5 pencils
then the total pencil Dan will have is obtained by adding all the pencils together,
= 16+5
= 21 pencils
therefore the total number of pencil is found by 16+5 = 21
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In the given equation, b is a positive constant.
The sum of the solutions of the equation is 5.
What is the value of b?
x²(x+3)(x - b) = 0
Answer:
0
Step-by-step explanation:
X^2(x+3)(x-b)=0x2 = 0x =√0x= 0
(hope this helps you <:)
11.6%=x*17.8%+ (1-X)* 8.4%
To solve for x in the equation:
11.6% = x × 17.8% + (1 - x) × 8.4%
We can first convert the percentages to decimal form:
11.6% = 0.116
17.8% = 0.178
8.4% = 0.084
Substituting these values into the equation, we get:
0.116 = x 0.178 + (1 - x) × 0.084
Next, we can simplify the equation by distributing the (1 - x) term:
0.116 = x × 0.178 + 0.084 - x × 0.084
Simplifying further by combining like terms, we get:
0.116 = 0.178x + 0.084 - 0.084x
0.116 = 0.094x + 0.084
Subtracting 0.084 from both sides of the equation, we get:
0.032 = 0.094x
Finally, dividing both sides of the equation by 0.094, we get:
x = 0.3404 or approximately 0.34
Therefore, x is approximately 0.34
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what is the area of the triangle
The triangle has a surface area of 12 square centimetres.
We can apply the following formula to determine the triangle's area:
Area = base x height x half
The triangle's height in this instance is 4 cm, while its base is 6 cm. We can therefore determine the area by substituting these values into the formula as follows:
Area: 0.5 by 6.4 by 4.4 cm
Amount = 12 cm2
Hence, the triangle has a surface area of 12 square centimetres.
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7/25 equivalent in percents
In Mrs. stones class 18 out of 20 students turned in their homework on time. What percent of the class turned in their homework on time?
Answer: 90%
Step-by-step explanation:
18/2=9
20/2=10
9 out of 10 is 90%
Answer: 81.82%
Step-by-step explanation: A percentage is a number or ratio that can be expressed as a fraction of 100.
here, we have,
given that,
In Mrs. Stone's class, 18 out of 22 students turned in their homework on time.
now,
the percent of the class turned their homework in on time is,
18/22 * 100
=81.82%
- Calculate how many pupils there are in the class if there are 21 girls.
There are 37 pupils in the class.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, the ratio of girls to boys is 4:3, this means that for every 4 girls, there are 3 boys.
We can use this ratio to find the number of boys in the class. Let's set up a proportion:
4 girls : 3 boys = 21 girls : x boys
where x is the number of boys in the class.
To solve for x, we can cross-multiply:
4 girls * x boys = 3 boys * 21 girls
4x = 63
x = 15.75
We can't have a fractional number of students, so we need to round up to the nearest whole number. This means there are 16 boys in the class.
Total number of pupils = 21 girls + 16 boys = 37 pupils
Therefore, there are 37 pupils in the class.
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Complete question:
the ratio of girls to boys is 4:3. Calculate how many pupils there are in the class if there are 21 girls.
A school sells tickets to the school play through an online ticket company each ticket cost $8 and the company charges a $2.50 processing fee per order write an equation to represent the relationship between the number of tickets bought t and the total cost c with an equation
Answer:
c = 8t + 2.5
Step-by-step explanation:
The total cost c of buying t tickets is given by:
c = 8t + 2.5
Answer:
The total cost of buying t tickets can be represented by the equation:
c = 8t + 2.50
Where:
c is the total cost in dollars
t is the number of tickets bought
Ayden filled up his car with gas before embarking on a road trip across the country. The car uses 2 gallons of gas for every hour driven, and after driving for 4 hours, there were 4 gallons of gas left in the tank. Write an equation for
�
,
G, in terms of
�
,
t, representing the number of gallons of gas remaining in Ayden's gas tank after
�
t hours of driving.
The solution is,
Total capacity: 12 gallons
Equation: G = 12 - R*t
What is mathematical expression?A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
here, we have,
Let R be rate of gas consumption by car = 2 gallons/hr
Let G be the gallons in the car left
let g be the gallons used by the car while driving
Driven time, t = 4 hrs
Remaining gas =4 gallons
according to the question,
consumption rate, R = g/t
After driving for 4 hours
2 = g/4
g = 2*4 = 8 gallons
remaining gas = 4 gallons
therefore, total capacity of the car = 8 + 4 = 12 gallons
equation in terms of gas left,
G = 12 - R*t
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HI can someone please help me with these 2 questions!!
The statement that is not correct is FG/RS = EF/OS, the correct option is C.
What are similar triangles?A side of one triangle = k times corresponding side of its similar triangle
where k is the scale factor, constant for one pair of similar triangles. Now when we will take their ratio, the value of k cancels out, leaving no difference between first triangle or second triangle, but only caring if they are similar or not(which depends on angles).
Thus, the trigonometric functions depend only on angles.
We are given that;
Triangles EFG and QRS are similar
Now,
Option A states that EF/QR = CE/SQ, which is true by the definition of similarity of triangles.
Option B states that FG/RS = EG/QS, which is also true by the definition of similarity of triangles.
Option D states that 4GE/SQ = FE/RQ, which is also true as corresponding sides are proportional.
However, option C states that FG/RS = EF/OS, which is not necessarily true. There is no direct relationship between side OS and triangle EFG, so the ratio FG/RS cannot be equated to the ratio EF/OS.
Therefore, by the given similar triangles answer will be FG/RS = EF/OS.
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A road-building company plans to construct a bridge across a pond to connect Main Street and Second Street, as shown in the diagram below. How long will this bridge need to be? Show your work.
The bridge needs to be 1.6 miles long. The solution has been obtained by using Pythagoras theorem.
What is Pythagoras theorem?
According to the Pythagorean Theorem, the square of a right-angled triangle's hypotenuse side is equal to the sum of the squares of its other two sides.
We are given a right angled triangle with base 3 miles and the hypotenuse 3.4 miles.
The perpendicular is given to be 'x'.
Using Pythagoras theorem, we know that
⇒Hypotenuse² = Perpendicular² + Base²
⇒(3.4)² = x² + 3²
⇒11.56 = x² + 9
⇒x² = 2.56
⇒x = 1.6 miles
Hence, the bridge needs to be 1.6 miles long.
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for problem 5 need p value
a) The correct null and alternative hypotheses are: given in option A:
H₀: Pkids = Padults
Ha: Pkids < Padults
b) the p-value is 0.004 (rounded to three significant figures).
a) The correct null and alternative hypotheses are:
H₀: Pkids = Padults (The proportion of kids who eat cereal for breakfast is equal to the proportion of adults who eat cereal for breakfast)
Ha: Pkids < Padults (The proportion of kids who eat cereal for breakfast is less than the proportion of adults who eat cereal for breakfast)
b) To test this claim, we can use a two-sample z-test for proportions. We calculate the test statistic as follows:
z = (phat1 - phat2) / √(p*(1-p)*(1/n1 + 1/n2))
where phat1 and phat2 are the sample proportions, n1 and n2 are the sample sizes, and p is the pooled proportion. The pooled proportion is calculated as:
p = (x1 + x2) / (n1 + n2)
where x1 and x2 are the number of successes in each sample.
Using the given data, we have:
phat1 = 70/95 = 0.737
phat2 = 35/58 = 0.603
n1 = 95
n2 = 58
x1 = 70
x2 = 35
p = (70 + 35) / (95 + 58)
= 0.680
Then, the test statistic is:
z = (0.737 - 0.603) / √(0.680*(1-0.680)*(1/95 + 1/58))
= 2.62
Using a standard normal distribution table or calculator, we find the p-value associated with a z-score of 2.62 is approximately 0.004.
Therefore, the p-value is 0.004 (rounded to three significant figures).
Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the proportion of kids who eat cereal for breakfast is less than the proportion of adults who eat cereal for breakfast.
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Full Question:
Cereal for Breakfast. A parent claims that kids eat cereal for breakfast more often than adults. A statistics-loving friend of the parent does some internet research and finds the following polling data. Of 95 kids polled, 70 of them say cereal is their most common breakfast. Of 58 adults polled, 35 of them say cereal is their most common breakfast. Test the parent's claim using these data.
a) Select the correct null and alternative hypotheses
H₀: Pkids = Padults
Ha: Pkids < Padults
H₀: Pkids = Padults
Hat Pkids ≠ Padults
H₀: Pkids = Padults
Ha: Pkids > Padults
b) Find the p-value (round to three significant figures).