Answer:
22.5
Step-by-step explanation:
Everything equals 180. This means that the 90 degree angle creates half of that would mean that everything on the right side of the 90 degree angle, also has to equal 90 degrees. X=22.5 because you have to combine like terms meaning x + 3x = 90- 4x=90. Divide by 4 on both sides of the equals sign. Plug that into a calculator and you get 22.5 Since it is only asking for the singular x, you don't have to solve for 3x. (It would be 67.5)
Mr. Kimball receives a $3000 annual salary
increase on the anniversary of his hiring if he receives
a satisfactory performance review. His starting salary
was $41,250. Write an equation to show k, Mr.
Kimball's salary after t years at this company if his
performance reviews are always satisfactory.
Answer:
OK so he gets 3000 a year
so 3000t is what we need. thats 3000 times the number of years.
His starting salary is 41250, so we would add that on.
K = 3000t + 41250.
Step-by-step explanation:
Which represent like terms in the model of the equation?
1
O
II-
and
X X and
XX
х
and
and 1
Answer:
Option 2
Step-by-step explanation:
Like terms are terms with the same variable and the same power.
Let's analysis and write the equation of each model to see if which of them has like terms:
Option 1:
We have x x => 2x
1 1 1 => 3
Equation of model=> 2x + 3
2x and 3 are unlike terms
Option 2:
We have x x => 2x
x x x => 3x
Equation of model=> 2x + 3x
2x and 3x are like terms
Option 3:
We have x x x => 3x
1 1 1 => 3
Equation of model=> 3x + 3 (contains unlike terms)
Option 4:
We have x => x
1 => 1
Equation of model=> x + 1 (unlike terms)
✔️The second option is the answer
Find the particular solution to ty''-(1+t)y'+y=t^2e^t.
Complete Question
Find a particular solution to \(ty''-(1+t)y'+y=t^2e^t , t > 0\)
\(y_1 = 1 + t , \ y_2 = e^t\)
Answer:
The solution is \(y_p = -e^{2t} + t + \frac{3t^2}{2} + \frac{t^3}{2}\)
Step-by-step explanation:
Now the given equation is \(ty''-(1+t)y'+y=t^2e^t , t > 0\)
dividing through by t
We have
\(y'' - \frac{1 + t }{t}y' + \frac{1}{t} y = te^t \\\\ let's\ call\ it \ g(t)\)
Now for the given initial value we can generate our Wronskian as follows
\(W(y_1 ,y_2) = | \left y_1} \atop {y_1'}} \right. \left y_2} \atop {y_2'}} \right | = | \left {(1 + t)} \atop {1}} \right. \left e^t} \atop {e^t}} \right | = (1 + t )e^t - e^t = te^t\)
Now applying method of variation of parameters to obtain the particular solution
So here we assume that
\(y_p = v_1 y_1 + v_2 y_2\)
So
\(v_1 = - \int\limits {\frac{y_2 (t) g(t)}{W(t)} } \, dt = - \int\limits {\frac{e^t te^t}{te^t} } = - \int\limits { e^t} } = -e^t\)
And
\(v_2 = - \int\limits {\frac{y_1 (t) g(t)}{W(t)} } \, dt = - \int\limits {\frac{(1 + t) te^t}{te^t} } = - \int\limits (1 + t) = t + \frac{t^2}{2}\)
So
\(y_p = -e^t * e^t + t + \frac{t^2}{2} * 1 + t\)
\(y_p = -e^{2t} + t + \frac{3t^2}{2} + \frac{t^3}{2}\)
What is the equation of the line through (4, 2) and (0, -2)?
Answer:
y=x-2
Step-by-step explanation:
4-0=4 = (change in y)
2--2=4 = (change in x)
change in y/change in x=4/4=1=x
gradient = x
y=x+c
Subtitute any coordinate
2=4+c
c=-2
so
y=x-2
Answer:
y=x-2
Step-by-step explanation:
Slope Intercept Form
y=x-2
Find Slope using equation below
Chose points I chose 2 as y2 and -2 as y2
4 is x2 and 0 as x1
Slope is 1
now choose a point and plug it in for x and y and plug slope in Equation
I chose (4,2)
2=4+b
subtract 4 by both sides
-2=b
Slope Form
So... y=x-2 is the answer
Carlos read 150 words in one minute. He
read 5 times as many words as his younger
brother. How many words did his younger brother
read in one minute?
Answer:
30
Step-by-step explanation:
150/5 = 30
Answer: 30
Step-by-step explanation:
a. Find a power function that models the data below.
b. Find a linear function that models the data
c. Visually determine which model is a better fit.
0
х
y
1
2
2
7
3
13
4
22
5
32
6
44
a. The power function is y=0
(Use integers or decimals for any numbers in the expression. Round to the nearest thousandth as needed)
Using Visual inspection, the model which fits the data in the distribution better is the power function.
The power and linear functions can of the data can both be modeled using technology,
Using Technology :
The power function in the form \( y = Ax^{B} \) which models the data is \( 1.926x^{1.662} \)
The linear function in the form \(y = Bx + A \) which models the data is \( y = 7.429x - 8.333\)
Where A = intercept and B = slope From the model, correlation coefficient given by the power and linear models are 0.999 and 0.986 respectively. Hence, the power model is a better fit for the data than the linear model.Therefore, Inspecting the models visually, the power function fits the data better as the points on the curve are closer to the regression line than on the linear model.
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I will give BRAINLIEST if correct the question is in the photo attached please answer Part A
Answer:
0-2 sec
Step-by-step explanation:
From the graph you can see the height is going UP from 0-2 sec...from then on it is going downward....
simplified form for 2x(y+3)-4xy?
Answer:
-2xy+6x
Step-by-step explanation:
WILL MARK BRAINLIEST!
I thought of a three-digit number. If I add all the possible two-digit numbers made by using only the digits of this number, then one third of this sum is equal to the number I thought of. What is the number I thought of?
Answer:
198
Step-by-step explanation:
If you add 11,18, 19, 81, 88, 89, 91, 98, 99 then the sum would be 594 then dividing by 3 would be 198.
PLZ MARK BRAINLIEST!!!
A single ticket to the magic show costs ttt dollars, but there is a discount of 5\%5%5, percent per ticket if a group buys 101010 tickets.
The expression 10t-10\cdot 0.05t10t−10⋅0.05t10, t, minus, 10, dot, 0, point, 05, t describes the total cost of buying 101010 tickets for a group.
Match each amount in the situation with the expression that represents it.
Situation
Expression
(Kahn academy)
The total cost for the group of ten people after discount is 10 t - 0.5 t.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Discount = 5%
Total tickets= 10
We have t represents the cost of one ticket.
So, For 10 person the cost of the ticket = 10t
Now, after discount the price of tickets
= 5% of 10t
= 0.5 t
Hence, the total cost for the group of ten people after discount is 10 t - 0.5 t.
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Select the correct answer. Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100
Answer: C
she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.
which of the following must describe an irrational number? (1pt) a number with a nonterminating decimal expansion a number with a non repeating decimal expansion a number with a repeating or terminating decimal expansion a number with a non repeating and non terminating decimal expansion.
Answer:
a number with a non repeating and non terminating decimal expansion.
Step-by-step explanation:
Irrational numbers are numbers which cannot be expressed as fractions, they are real numbers which cannot be expressed as rational numbers such as the square root of natural numbers other than perfect squares.
Irrational numbers are non repeating, non terminating decimal numbers with no group of the digits repeated. Therefore the decimal expansion does not terminate but continues without repetition example is π.
There are 380 people in a talent show. They have 21 rows. They want everyone in each row to be even. How many people are in each row???
The quantity of people in each row is = 18
Calculation of people in each rowThe total number of people in the talent show = 380
The total number of rows in the show = 21
For every one in each row to be even the total number of people should be divided by the available number of rows. That is,
380/21 = 18.1
Therefore, the quantity of people in each row is approximately = 18.
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HCF of 560 and 729 :)
The HCF of 560 and 729 is 1.
To find the HCF of 560 and 729, we use the Euclidean algorithm as follows;HCF of 560 and 729:Step 1: Divide the larger number by the smaller number, then find the remainder.729 ÷ 560 = 169 remainder 169Step 2: Divide the smaller number (i.e., 560) by the remainder (i.e., 169).560 ÷ 169 = 3 remainder 53.
Step 3: Divide the remainder from step 1 (i.e., 169) by the remainder from step 2 (i.e., 53).169 ÷ 53 = 3 remainder 10Step 4: Divide the remainder from step 2 (i.e., 53) by the remainder from step 3 (i.e., 10).53 ÷ 10 = 5 remainder 3Step 5: Divide the remainder from step 3 (i.e., 10) by the remainder from step 4 (i.e., 3).10 ÷ 3 = 3 remainder 1.
Step 6: Divide the remainder from step 4 (i.e., 3) by the remainder from step 5 (i.e., 1).3 ÷ 1 = 3 remainder 0The HCF of 560 and 729 is the last non-zero remainder, which is 1.
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How do you find the height and radius of the cylinder with just the volume?
Suppose Dante borrows $7000 at an interest rate of 9% compounded each year assume that no payments are made on the loan
Answer:
then daniel has to pay $7630 dollars
Step-by-step explanation:
A cyclist travels at an average speed of 18 mph for 2 hours.
How far did she travel in miles?
Answer:
36
Step-by-step explanation:
18 miles per hour so for 2 hours which is double, she should have traveled 36 miles.
Good Luck!
Convert 600 meters to yards.
Answer:
656.167979 Yards
Answer:
6.562 yards
Step-by-step explanation:
To change the distance we apply the formula [yd] = [6] / 0.9144.
Spelled out, we divide the length in meters, 6, by 0.9144 and get rounded to three decimals:
6 m to yd = 6.562 yd
What is the value of h in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
Answer:
what's the diagram??
Step-by-step explanation:
what's the diagram??
-1≤x≤0. The average rate of change of over the interval
the average of -1 and 0, will be 0.5.
What is inequality?
Mathematical expressions with inequalities on both sides are known as inequalities. In an inequality, we compare two values as opposed to equations. In between, the equal sign is changed to a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Olivia is chosen for the 12U softball team. What age is Olivia? Because it doesn't mention "equals," you are unaware of Olivia's age. But since you already know Olivia's age to be below or equal to 12, you can write it as Olivia's Age 12. This scenario relates to disparities in the real world.
The average slope over the longer intervals will be the average of the slopes in the (same length) intervals that make up the longer interval.
-1 ≤ x ≤ 0 : average of -1 and 0, so 0.5.
Hence the average of -1 and 0, will be 0.5.
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whats bigger 12/3 or 27/7
Answer:
12/3 = 4 > 27/7= 3 6/7
Step-by-step explanation:
12/312/3 i think
Step-by- step explanation:
1 step: 12/3 =12 times 9/3 times 9 =108/27 hope i helped
3.1 Which basic property of operations was used in each of the following
calculations?
3.1.1 25 x 4 = 4 x 25 = 100
3.1.2 412 412 412 + (-412) = 0
3.1.3 25 +37
-
=
= 20 + 5+ 30+7
= 20 +30 +5+7
= 50+ 12 = 62
3.1.1 The basic property of operations used is the commutative property of multiplication.
3.1.2 The basic property of operations used is the additive inverse property.
3.1.3 The basic property of operations used is the associative property of addition.
3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.
3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.
3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.
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Determine the intercepts of the line. Do not round your answers. y = − 3 x + 12
Ira invests $4000 into an account that earns 0.6% simple interest annually. Which statement best describes the relationship between the number of years Ira has his money invested and the balance in any year
The Amount of money that she received at the end of the read is $4024, the relationship between the number of years Ira has his money invested and the balance in any year differs by $24 which is the simple interest.
Amount invested by Ira = P = $4000
The rate of Interest (r) = 0.6 %
Time period (t) = 1 year.
The simple interest is given by,
\(S.I. = \frac{P*r*t}{100}\)
Now, putting the values in the formula, we get:
\(S.I. = \frac{4000*0.6*1}{100} =24\)
Hence, the simple interest will be $24
Now, the Amount/balance that she received in the year is A = P +S.I
A = P+S.I.
A = 4000 +24 = $4024
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Answer:
The relationship is linear. His account increases each year by a constant value of $24.
Step-by-step explanation:
took the test
find the value of for 19 degrees of freedom and an area of 0.010 in the right tail of the chi-square distribution curve. enter the exact answer from the chi-square distribution table.
The right tail of the chi-square distribution curve's value for 19 degrees of freedom and an area of 0.010 is 3.162.
To find the value of chi-square for 19 degrees of freedom and an area of 0.010 in the right tail of the chi-square distribution curve, we need to consult a chi-square distribution table. The table will list the chi-square values corresponding to different degrees of freedom and areas of the right tail of the distribution. In this case, the table should list the chi-square value corresponding to 19 degrees of freedom and an area of 0.010 in the right tail of the distribution. The value of this chi-square is 3.162, which is the exact answer from the chi-square distribution table.
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Which of these is an example of business ownership?
Answer:
Examples are a hair salon franchise, a coffee shop, and a gas station.
Step-by-step explanation:
Help pls ASAP plssss
Answer:
y=2x-1
Step-by-step explanation:
The y-intercept is -1
The slope is 2
Suppose the natural level of output is $60 billion of real GDP and that people expect a price level of 100. On the following graph, use the purple line (diamond symbol) to plot this economy's long-run aggregate supply (RAS) curve. Then use the orange line segments (square symbol) to plot the economy's short-run aggregate supply (AS) curve at each of the following price levels: 90, 95, 100, 105, and 110
The purple line would be plotted at the level of output $60 billion, and the orange line segments would be plotted at 90, 95, 100, 105, and 110 respectively.
1. Plot the purple line at the level of output $60 billion.
2. Plot the orange line segments at 90, 95, 100, 105, and 110 respectively.
The long-run aggregate supply (RAS) curve is used to represent the natural level of output for an economy. In this case, the natural level of output is $60 billion of real GDP with a price level of 100. Therefore, the purple line should be plotted at the level of output $60 billion on the graph. The short-run aggregate supply (AS) curve is used to show how the level of output reacts to the price level. Therefore, the orange line segments should be plotted at 90, 95, 100, 105, and 110 respectively. This will show how the level of output changes when the price level is different from the natural level. This will help to illustrate how the economy may react when the price level is different than expected.
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Factorise 6x squares minus 14x
Order the following rational numbers from greatest to smallest.
- 7
0.40
4.1
-3/4