Answer:
1) y=4x+5, 2) y=-2x+2, 3)y= 4/3x+4
Step-by-step explanation:
1) y=4x+5
2) y=-2x+c
-4= -2(3)+c
-4=-6+c
+6 +6
2=c
y=-2x+2
3) 4-0/0--3
4/3= gradient
y= 4/3x+c
4= 4/3(0)+c
4=0+c
4=c
y= 4/3x+4
which type of unemployment is characterized by a worker looking for a job when there is no reason that he or she should not find one
Answer:
Frictional unemployment
Step-by-step explanation:
If you have the following options:
A. Structural unemployment
B. Periodic unemployment
C. Frictional unemployment
D. Seasonal unemployment
Answer:
Frictional unemployment
Step-by-step explanation:
Just did test
How can you use a single measure to describe a data set?
Answer:
There are many ways to describe a data set using a single measure. Some common ways are to find the mean, median, or mode of the data set.
Step-by-step explanation:
A single measure can be used to describe a data set in the form of a statistic. This statistic can be used to measure the central tendency, dispersion, or shape of the data set. For example, the mean can be used to describe the central tendency of a data set, while the standard deviation can be used to describe the dispersion of a data set.
The spinner shown is spun twice. Express your answer
as a simplified fraction.
7. Find P(the two numbers have an even sum).
8. Find P(two even numbers).
7) The probability that the two numbers have an even sum is: 0.5
8) The probability that the two are even is: 0.25
How to find the probability in a spinner?7) We want to find the probability that the two numbers have an even sum.
The only combinations that produces an even sum are:
(1, 3), (3, 1), (1, 1), (2, 2), (2, 4), (4, 2), (4, 4), (3, 3)
The other combinations of numbers are:
(1, 2), (1, 4), (2, 1), (4, 1), (2, 3), (3, 2), (3, 4), (4, 3)
Thus, we have a total of 16 combinations and the probability that the two numbers have an even sum is:
P(two numbers with even sum) = 8/16 = 0.5
8) The probability that the two are even is:
4/16 = 1/4
= 0.25
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A pie is split into 3 equally sized
pieces.
Each piece has an area of 79 in?
What is the total area of the pie?
the total area of the pie is 237
Find the product
-2/9(-5/3)=
Answer: i believe its 10/27 im not sure tho
Step-by-step explanation:
Answer:
-2/9 (−5 /3)
(−2 /9) (−5 /3)
=
(−2)/(−5) / (9)/(3)
=
10/27
(Decimal: 0.37037)
Step-by-step explanation:
Hope this helps!
help any tutor help
The hypotenuse of the 30-60 right triangle is ____________, if the shortest side is x
1. x
2. x sqaure root 3
3. 2x
9514 1404 393
Answer:
3. 2x
Step-by-step explanation:
The side ratios of a 30-60-90 triangle are in the ratios ...
1 : √ : 2
The longest side is 2 times the length of the shortest side. If the shortest side is x, the longest side is 2x.
find the area of the triangular prism
The total surface area of the triangular prism using the net is 96 square units
Calculating the total surface area using the net.From the question, we have the following parameters that can be used in our computation:
The net of a triangular prism
The surface area of the triangular prism from the net is calculated as
Surface area = sum of areas of individual shapes that make up the net of the triangular prism
Using the above as a guide, we have the following:
Area = 2 * 3 * 7 + 6 * 7+ 2 * 1/2 * 2 * 6
Evaluate
Area = 96
Hence, the surface area is 96 square units
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help needed. due today TT
There is a linear relationship between the number of people in a group and the cost to enter a museum. The museum charges $20 for two people and $28 for three people.
Part C: Using your work from Part A, complete this prompt: How many people can enter the museum for $100?
Answer:
11 people could enter for $100
Step-by-step explanation:
According to the information given:
$28=3 people
$20=2 people
so it goes up by 8 dollars for every person added
20-8= 16, the original fee, meaning the sequence formula would be:
8n+8 (n being the number of people)
if 8n+8=100
8n=92
n=11.5 rounded down would be 11
A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold? please show the steps to solve THANK YOU!!!!
Answer:
5 oranges and 10 apples were sold
Step-by-step explanation:
Let x be the number of oranges sold and y be the number of apples sold
Since 15 fruits were sold in all we get the following equation
x + y = 15 ....................[1]
Each orange costs $1 so if x oranges were sold that would fetch x dollars in sales = x dollars in sales
Each apple costs $2 so if y apples were sold, that would result in 2y dollars in sales
Total sales in $ = x + 2y and we know this is $25 so we get the second equation as
x + 2y = 25 ..................[2]
Look at the two equations. The coefficient of the x term is the same. We can eliminate the x term by subtracting equation [1] from equation [2] as follows:
x + 2y = 25
-
x + y = 15
-----------------
y = 10
(2y - y = y and 25-15 = 10)
Now that we know y = 10, we can use equation [1] to find x
x + 10 = 15
which makes x = 5
ANSWER
5 oranges and 10 apples were sold
Find the height of a triangle if the area is 42 square units and the base is 7 units.
Answer:
12
Step-by-step explanation:
84 divided by 7 because the formula for a triangle is b x h divided by 2 = area
7 x 12 = 84 divided by 2 = 42
Rewrite 4(30+5) using the Distributive Property of Multiplication over Addition.
Answer:
Step-by-step explanation:
4(30+5)
4(30)+4(5)
120+20
140
Point of intersections=
A die has been rolled 120 times and the results recorded in the table opposite.
Complete the relative frequency column
Do you think this dice is fair? Give a reason for your answer
Number
Frequency
Relative frequency
1
10
2
28
3
16
4
34
5
16
6
16
Answer:
the dice is not fair
Step-by-step explanation:
The dice is not fair because why would you roll a dice for 120 times
Solve for x.
Show work
Answer:
x=11.34
Step-by-step explanation:
Find the constant rate of change for each linear function and interpret its meaning
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}\)
Which set(s) of numbers does the 20−−√20 belong to? (click all that apply)
Natural Number
Whole Number
Integer
Rational numbers
Irrational Number
please help me
Given : The number is \(\sqrt{20}\).
To find: Set(s) of numbers in which \(\sqrt{20}\) belong to.
Solution:
We know that,
Natural Number \(=\{1,2,3,...\}\)
Whole Number \(=\{0,1,2,3,...\}\)
Integer \(=\{...-3,-2,-1,0,1,2,3,...\}\)
Rational numbers \(=\{-2,0,3.4,\dfrac{1}{2}\text{ etc}\}\)
Irrational numbers \(=\{\sqrt{2},\sqrt{3},\pi, 1.25436...\text{ etc}\}\)
We have,
\(\sqrt{20}=\sqrt{4\times 5}\)
\(\sqrt{20}=\sqrt{4}\times \sqrt{5}\)
\(\sqrt{20}=2\times \sqrt{5}\)
\(\sqrt{20}=2\sqrt{5}\)
So, \(\sqrt{20}\) is the product of a non zero rational number, i.e., 2 and an irrational number, i.e., \(\sqrt{5}\).
We know that product of a non zero rational number and an irrational number is always irrational.
So, \(\sqrt{20}\) is an irrational number.
Therefore, the correct option is 5.
-16 + 5x = -7(-6 + 8x) + 3 solvde for x
Answer:
X=1
Step-by-step explanation:
Graph the following features:
• Y-intercept = 3
Slope = -3
Answer:
A general linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept (the point at which the line intersects the y-axis).
In this case, we know that the line should intersect the y-axis (the vertical one) at y = 3 (in the point (0, 3))
And the slope is -3, then the equation of the line is:
y = -3*x + 3
To graph this line the general way is to find two points of the line.
So we need to evaluate the function in two different values of x.
In this case, we already know that the line passes through the point (0,3), then we only need to find another point.
To do it, we can just replace the x-value for a value we want, like x = 1
Then the y-value will be:
y = -3*(1) + 3 = -3 + 3 = 0
Then we also have the point (1, 0).
Now that we have two points, we can graph them and draw a line that connects the point, that line is the graph of our linear equation.
An example of this can be seen below.
The 2017 population of California was 39,536,653 and of Arizona was 7,016,270. Compute and compare the rate of pedestrian fatalities per 100,000 residents.
Answer:
Step-by-step explanation:
In 2017, California led the nation with 858 pedestrian fatalities. Arizona had only 216. The 2017 population of California was 39,536,653 and of Arizona was 7,016,270. Compute and compare the rate of pedestrian fatalities per 100,000 residents.
Solution
The pedestrian fatality rate for California per 100,000 residents
= pedestrian fatality in California / total population in California × 100,000
= (858 / 39,536,653) × 100,000
= 2.17 people per 100,000
The pedestrian fatality rate for Arizona per 100,000 residents
= pedestrian fatality in Arizona / total population in Arizona × 100,000
= (216 / 7,016,270) * 100,000
= 3.08 people per 100,000
This means that, though California may have a higher number of pedestrian fatalities compared to Arizona, the rate of pedestrian fatalities per 100,000 residents in California is lower compared to Arizona.
what is the most effluence first step to isolate the variable term on one side of this equation -9x=-4x+5
The equation for the line of best fit relating the weight of a child in kilograms y in relation to the child's age in years x. Which of the following
statements is true?y = 3x +3.25
O A The average weight in kilograms is 3 times the age.
OB. The average weight in kilograms is 3 times the height
O C. The average child is 3 years old.
D. The average child weighed 3.25 kg at birth.
Answer: D
Step-by-step explanation:
It is D because using the equation y=3x +3.25 you can see that the y intercept is 3.25 which means in zero years the child will weigh 3.25 or weighs 3.25 kg at birth.
Simplify the following by removing parentheses and combining terms
-(2q+6)+3(2q+4)-2q
Answer:
2q+6
Step-by-step explanation:
So basically, you would do this.
-2q-6+6q+12-2q
Next
-4q+6q = 2q
12-6=6
2q+6
Answer:
2q + 6
Step-by-step explanation:
To simplify, we will use the distributive property.
-(2q + 6) simplifies to -2q - 6 (In this case we are distributing the - sign or -1)
3(2q + 4) simplifies to 6q + 12
So if we recombine: -2q - 6 + 6q + 12 - 2q
Let's combine like terms (q's with q's, numbers with numbers)
-2q + -2q + 6q = 2q
-6 + 12 = 6
So if we recombine: 2q + 6
12y^2+12y-3y^3 = 124-(y+5)
Answer:
\({ \tt{12 {y}^{2} + 12y - 3 {y}^{3} = 124 - (y + 5)}} \\ 3 {y}^{3} - 12 {y}^{2} - 12y = - 124 + (y + 5) \\ {3y}^{3} - 12 {y}^{2} - 12y = - 124 + y + 5 \\ { \tt{3 {y}^{3} - {12y}^{2} - 11y + 119 = 0 }}\)
Ten years into your 15-year $600,000 mortgage begun in October 2015, you inherit your rich uncle's estate and decide to pay off the outstanding principal on your mortgage. What is that amount? (Do not round the payment amount to the nearest cent. Round the final outstanding principal to the nearest cent.)
You need to pay mortgages of $6370 monthly.
What is mortgage?A mοrtgage is an agreement between yοu and a lender that gives the lender the right tο take yοur prοperty if yοu fail tο repay the mοney yοu've bοrrοwed plus interest. Mοrtgage lοans are used tο buy a hοme οr tο bοrrοw mοney against the value οf a hοme yοu already οwn
In this case,
P = $600000
r = 13.10 % = 0.131 [Credit card rate fοr Octοber 2015]
t = 15years
n = 12 [Cοmpοunded mοnthly]
Monthly payment = \($ \rm \frac{r \times P}{n} \times \left[1 - (1 +\frac{r}{n}) - nt \right]\)
= \($ \rm \frac{0.131 \times 600000}{12} \times \left[1 - (1 +\frac{0.131}{12}) - 12 \times 15 \right]\)
= 6550 - 180
= 6550 - 180
= 6370
Thus, You need to pay mortgages of $6370 monthly.
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What single decimal multiplier would you use to decrease by 1% followed by a 4% increase?
Answer:
The single decimal multiplier is 1.0296.
Step-by-step explanation:
Multipliers:
For a decrease of a%, we multiply by: \(\frac{100-a}{100}\)
For a increase of a%, we multiply by: \(\frac{100+a}{100}\)
For consecutive changes, we multiply the multipliers.
Decrease of 1%
Multiplication by \(\frac{100-1}{100} = \frac{99}{100} = 0.99\)
Increase of 4%
Multiplication by \(\frac{100+4}{100} = \frac{104}{100} = 1.04\)
Consecutive:
0.99*1.04 = 1.0296
The single decimal multiplier is 1.0296.
What's the solution to the following linear system?
y = 4x + 1
y = 4x
Question 4 options:
(−2, 3)
(4, 0)
Infinitely many solutions
No solution
Answer:
No solution
Step-by-step explanation:
4x = 4x + 1
0 unequal to 1
Answer: D. No solution
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The diameter of a circle is 8cm. Find its circumference to the nearest tenth.
Answer:
\(C = 25.1 \text{ cm}\)
Step-by-step explanation:
We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:
\(C = \pi d\)
Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).
↓ plugging in the given radius
\(C = 8\pi \text{ cm}\)
↓ rounding to the nearest tenth
\(\boxed{C = 25.1 \text{ cm}}\)
geometry! please help gracias!
The equation of the conic represents a circle with an area of 36π square units.
What kind of conic does a quadratic equation represent?
In this problem we find the equation of the conic in general form, on which we need to determine what kind of conic it represents. This can be done by finding the standard form of the equation by means of algebra properties, using a strategy known as completing the square. The quadratic equation in general form is described by the quadratic equations of the form:
A · x² + B · y² + C · x + D · y + E · x · y + F = 0
Now we proceed to find the standard form of the equation. First, write the equation in standard form:
x² + y² - 3 · x + 6 · y = 7 · x + 2
x² + y² - 10 · x + 6 · y - 2 = 0
Second, complete the square:
(x² - 10 · x + 25) + (y² + 6 · y + 9) = 2 + 25 + 9
(x - 5)² + (y + 3)² = 36
The standard form of the quadratic equation indicates the equation of a circle with a diameter of 12 units and a center at (h, k) = (5, - 3). The area of the circle is calculated below:
A = 0.25π · D²
Where D is the diameter of the circle, in units.
A = 0.25π · 12²
A = 36π
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Adam is baking 4 pizzas. Each pizza is a rectangle. It takes Adam 35 minutes to bake the pizzas. He divides each pizza into the equal-size square slices shown.
Adam multiplies to find the total number of square Slices for each pizza.
For each pizza tell the factors Adam multiplies .
For Pizza 1, Adam multiplies 6 by 6 slices
For Pizza 2, he multiplies 6 by 7 slices
For Pizza 3, he multiplies 4 by 7 slices, while
for Pizza 4, he multiplies 4 by 8 slices.
What is multiplication?A product is the outcome of multiplication or an expression that indicates factors to be multiplied in mathematics.
To put it another way, we may deduce that in math, multiplying implies adding equal groups.
The number of items in the group grows as we multiply. A multiplication issue includes the two elements and the product. The factors in the multiplication problem, 4 7 = 28, are the numbers 4 and 7, while the result (product) is the number 28.
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