Concept
Find the equation of line for the second line.
x1 = -2 y1 = 1
x2 = -4 y2 = 2
Next, apply equation of a line formula
\(\begin{gathered} \frac{y-y_1}{x-x_1\text{ }}\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ \frac{y\text{ - 1}}{x\text{ + 2}}\text{ = }\frac{2\text{ - 1}}{-4\text{ + 2}} \\ \frac{y\text{ - 1}}{x\text{ + 2}}\text{ = }\frac{1}{-2} \\ -2(y\text{ - 1) = 1(x + 2)} \\ -2y\text{ + 2 = x + 2} \\ -2y\text{ = x} \\ y\text{ = }\frac{-1}{2}x \end{gathered}\)Final answer
The graphed as a piecewise function is given below
PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!
Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No
Simplify 9 over quantity of 3 minus 2 i
Answer:
27/13+18/13i
Step-by-step explanation:
9/(3-2i)
=9(3+2i)/(3-2i)(3+2i)
=9(3+2i)/13
=27/13+18/13i
I hope this helped and have a good rest of your day!
What is 5 + 2x + 7 + 4x
Answer:
12+8x
Step-by-step explanation:
By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.
with expression 1. the options are, 2 factors, 3 factors, 2 terms, 3 terms.
with expression 2. the options are, 2 factors, 3 factors, 2 terms, 3 terms.
its a multiple choice question ;-;
Consider the expression 4(8x + 5)
Complete 2 descriptions of the parts of the expression.
1. The entire expression is the product of 2 factors.
1 factor is 42 factor is (8x + 5)2. On its own, (8x + 5) is a sum with 2 terms.
1 term is 8x2 term is 5Use a calculator to see what would happen if you used a credit card to pay the minimum monthly payment. Calculate using the following information: Cost of computer (balance): $600 Annual percentage rate (APR): 12.9% Total duration of payments: 2 years Use the simple interest formula: A = (P)(r)(t) If you make only the minimum payment each month, what will the total cost of the computer be?
Answer:
C. $755 i got it right
Step-by-step explanation:
If you make only the minimum payment each month, the total cost of the computer will be $755.00, which is $155 more than the original cost of the computer ($600).
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
To calculate the total cost of the computer if you make only the minimum payment each month, we need to use the simple interest formula:
A = P(1 + rt)
where A is the total amount paid, P is the principal or balance, r is the annual interest rate expressed as a decimal, and t is the time in years.
P = $600
r = 12.9% or 0.129 (annual interest rate)
t = 2 years
To find the monthly interest rate, we divide the annual interest rate by 12 (the number of months in a year):
Monthly interest rate = 0.129 / 12 = 0.01075
Now, we can use this monthly interest rate to calculate the minimum monthly payment:
Minimum monthly payment = 1% x P = 0.01 x $600 = $6
Therefore, the minimum monthly payment is $6.
To find the total cost of the computer over the 2-year period, we need to calculate the total amount paid (A) by making the minimum monthly payment each month:
A = P(1 + rt)
A = $600(1 + 0.01075 x 2 x 12)
A = $600(1 + 0.258)
A = $755.00
Therefore, if you make only the minimum payment each month, the total cost of the computer will be $755.00, which is $155 more than the original cost of the computer ($600).
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Cheryl's famous pumpkin pie Seasoning consists of a blend of cinnamon, nutmeg and cloves. WHen cheryl mixes up a batch, she uses 200 ounces of cinnamon, 100 ounces of nutmeg, and 100 ounces of cloves. If cinnamon sells for $1.80 per ounce, nutmeg sells for $1.60 per ounce, and cloves sell for $1.40 per ounce, what should be the price per ounce of the mixture. math problem answer
Answer:
$1.65
Step-by-step explanation:
Given that:
Batch mixture :
Cinnamon - 200 ounces
Nutmeg - 100 ounces
Cloves - 100 ounces
Cost of Seasoning mix :
Cinnamon - 1.80 per ounce
Nutmeg - 1.60 per ounce
Cloves - 1.40 per ounce
Price per ounce of mixture :
Let the price per ounce of mixture = x
Total ounce of mixture = (100 + 100 + 200) = 400 ounces
Σ(ounce * cost) = total ounce * cost of mixture
(200*1.80)+(100*1.60)+(100*1.40) = 400 * x
$360 * $160 * $140 = 400x
$660 = 400x
x = $660 / 400
x = $1.65
Price per ounce of mixture = $1.65
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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sketch the region y=sqrtx, y=0, x=4
Answer:
see attached for a sketch
area = 5 1/3 square units
Step-by-step explanation:
You want the area under the square root curve, above y=0, from x=0 to x=4.
AreaThe area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...
dA = (√x)dx
A = ∫(√x)dx
The power rule can be used for the integration:
\(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)
The area of the region is 5 1/3 square units.
__
Additional comment
You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.
This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.
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what is the answer.
please help, quick !!!<3
Ride block 1 has 4 hours and 30 minutes
Ride Block 2 has 5 hours and 30 mins
Ralph is leasing a $32,000 car for 36 months. The terms of his lease include an 8.5% interest rate (money factor of 0.00354) and a residual value of 72%. Determine Ralph's approximate monthly lease payment. a. $145.00 b. $230.40 $248.89 d. $443.73 C.
Answer:
d. 443.73
Step-by-step explanation:
i got it right on the test
Ralph approximate monthly lease payment is: d. $443. 73.
Monthly Lease payment
First step:
Residual value=$32,000×72%
Residual value=$23,040
Second step:
Depreciation=$32,000-$23,040
Depreciation=$8,960
Third step:
Base monthly lease payment=$8,960/36
Base monthly lease payment=$248.89
Fourth step:
Interest per month=($32,000+$23,040)×0.00354
Interest per month=$55,040×0.00354
Interest per month=$194.84
Fifth step
Monthly lease payment=$248.89+$194.84
Monthly lease payment=$443.73
Inconclusion Ralph approximate monthly lease payment is: d. $443. 73.
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A Bakery made 423 sandwiches in one day. What is that number rounded to the nearest hundred sandwiches?
Answer: 400
Step-by-step explanation:
A recipe for chilie uses 2 1/3 cups of beans. Keith is making 1 1/2 times the recipe. Which equation helps keith find how many cups of beans he needs?
Answer:
\( 2\frac{1}{3} * 1\frac{1}{2} = 3\frac{1}{2} \)
Step-by-step explanation:
Given that a recipe of chilie requires \( 2\frac{1}{3} \) cups of beans, to make \( 1\frac{1}{2} \) times the recipe, Keith would need x cups of beans.
Thus:
1 recipe = \( 2\frac{1}{3} \) cups of beans
\( 1\frac{1}{2} \) of the recipe = x cups of beans
\( x*1 = 2\frac{1}{3} * 1\frac{1}{2} \)
\( x = \frac{7}{3} * \frac{3}{2} \)
\( x = \frac{7}{2} \)
\( x = 3\frac{1}{2} \)
Therefore the equation that helps Keith find how many cups of beans he needs is: \( 2\frac{1}{3} * 1\frac{1}{2} = 3\frac{1}{2} \)
For right triangle ABC, find the sine ratio of angle θ.
The sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right angle triangle showing in a picture.
As we know, the sin is the ratio to opposite to the hypotenuse.
Sinθ = 4/5
Thus, the sine ratio of angle θ is 4/5 because sin is the ratio to opposite to the hypotenuse.
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how many ping pong balls do you need if you want to arrange them in the shape of an equilateral triangle with 23 rows
Explain how to predict y-values using the equation of a regression line.A. Substitute a value of y into the equation of a regression line and solve for x.B. Use the graph of the regression line to determine the x-value that corresponds to the y-value for which you are solving.C. Substitute a value of x into the equation of a regression line and solve for y^.D. Substitute the correlation coefficient into the equation and solve for y^
Answer: C. Substitute a value of x into the equation of a regression line and solve for y
Step-by-step explanation: To predict y values using equation of the regression line, a given value of x is substituted into the equation as there are only two unknowns in the whole regression equation, which are the x value ( independent variable) and the y value (the dependent or predicted variable).
The regression equation is usually of the form:
y = mx + c (linear regression)
Where y = predicted or dependent variable
m = slope or gradient of the regression line
x = independent variable
c = intercept of the line (where it cross the y-axis)
what is the equation for Penny had some money. After she pays $5 for her new kitten, she will have $27. How much money did she start with? you will get 20 points
Answer:
X + 5 = 27 or 27 - 5 = X
the answer is $22
Step-by-step explanation:
Answer:
x-5=27 or 27=x-5 or x=27+5
Step-by-step explanation:
let x be the total amount of money Penny has.
after she deducts 5 dollars to pay for her bunny she is left with 27
therefore
x-5=27 (which is the same as representing it in any other way shown above)
if they ask for X, then solve your equation
x=27+5
x=$32
I NEEED TO GET THIS RIGHT PLS ANSWERRRRR. ILL GIVE YOY ALOT OF POINTS AND A BRAINLYIST!!!
Answer:0.5n
Step-by-step explanation: its to long to explain but correct :)
Answer:
0.5n
Step-by-step explanation:
can you help me silve this please
Answer: Area of Cylinder = 753.982
Step-by-step explanation:
Given:
h = 7 cm
r = 8cm
Formula for cylinder:
A = (Perimeter of base) x height + 2 (Area of Base)
Breakdown:
Perimeter of base = 2\(\pi r\)
Perimeter of base = 2 \(\pi\) (8)
Perimeter of base = 50.2655
Area of Base = \(\pi r^{2}\)
Area of Base = \(\pi 8^{2}\)
Area of Base = 201.0619
Area of Cylinder = (Perimeter of base) x height + 2 (Area of Base)
Area of Cylinder = (50.2655)(7) +2(201.0619)
Area of Cylinder = 753.982
Leah works at an appliance store. She recorded her recent sales.
washing machines 3
dishwashers 1
ovens 6
clothes dryers 5
What is the experimental probability that the next appliance Leah sells will be an oven?
6/15
you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.
Find \(A(3,4)\).
HINT: \(A(1,n)=2^n\) whenever \(n \geq 1\)
Along with proof of (a.) and (d.), (b.) Power tower: one level is a, (k + 1) levels is a raised to the power of a power tower with k levels, (c.) A(2, n) <= 2 ↑↑ n for all positive integers n, where ↑↑ denotes power tower notation.
What is an Ackermann function?The idea of a fully computable function that is not primitive recursive is illustrated by the recursively constructed mathematical function known as the Ackermann function. Since m and n are non-negative integers, it is commonly written as A(m, n).
a.) Prove using regular induction that \(A(1, n) \leq 2^n\) for all positive integers n:
Base Case: For n = 1, A(1, 1) = 2, which is equal to \(2^1\).
Inductive Hypothesis: Assume that \(A(1, k) \leq 2^k\) for some positive integer k.
Inductive Step: We need to show that \(A(1, k + 1) \leq 2^{(k + 1)}\). Using the recursive definition of A(m, n), we have \(A(1, k + 1) = A(0, A(1, k)) = 2^{(A(1, k))}\leq 2^{(2^k)}\) (by inductive hypothesis)\(< = 2^{(2^{(k + 1)})}\).
Therefore, by regular induction, we have proved that \(A(1, n) \leq 2^n\) for all positive integers n.
b.) A power tower with one level is defined as a, and a power tower with (k + 1) levels is defined as a raised to the power of a power tower with k levels.
c.) \(A(2, n) \leq 2\) ↑↑ n for all positive integers n, where ↑↑ denotes power tower notation.
d.) The recursive definition of a triple arrow-up notation for power towers is:
a ↑↑↑ 1 = a (base case)
a ↑↑↑ (k + 1) = a ↑↑ (a ↑↑↑ k) (recursive step)
This definition states that a triple arrow-up notation with one level is equal to the base value "a", and a triple arrow-up notation with (k + 1) levels is equal to "a" raised to the power of a triple arrow-up notation with "k" levels.
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Complete Question: ( Refer to image)
find the value of trigonometric ratio
Answer:
20/21
Step-by-step explanation:
tanC = opposite/adjacent = 20/21
A scale drawing for a backyard is shown below.
In the drawing, 1 cm represents 4 m.
Assuming the patio is rectangular, find the area of the real patio.
-6 cm
-3 cm-
Patio
2 cm
Lawn
2 cm
Answer:
The area of real patio is 50m².
Step-by-step explanation:
Given,
Length of patio = 3 cm
Width of patio = 6 cm
According to scale =
3 cm = 5m
1 cm = \frac{5}{3}\ m35 m
6 cm = \frac{5}{3}*6 = 10\ m35∗6=10 m
Real length of patio = 5 m
Real width of patio = 10 m
Area = Length*width
\begin{gathered}Area=5*10\\Area=50\ m^2\end{gathered}
Area=5∗10Area=50 m2
The area of real patio is 50m².
Carlos used 100 bricks to build a 20 foot wall. How many bricks would be used for a 25 foot wall?
3.5.PS-15
Question Help
Reasoning Kareem cannot decide which of two washing machines to buy. The selling price of each is $480. The first is
marked down by 50%. The second is marked down by 30% with an additional 20% off. Find the sale price of each washing
machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the second if the
machines are the same except for the selling price.
The sale price of the first washing machine is $
(Round to the nearest dollar as needed.)
Answer:
$240the sale price on the first machine is lowerStep-by-step explanation:
Two washing machines are offered at $480, with one marked down 50% and the other marked down 30% and another 20% off. You want to know why the first machine has a better price, and what that price is.
First machineThe price after a 50% markdown is ...
$480 × (1 -50%) = $480 × 0.50 = $240 . . . first machine sale price
Second machineThe price after a 30% markdown is ...
$480 × (1 -30%) = $480 × 0.70
After the additional 20% markdown, the price is ...
($480×0.70) × (1 -20%) = $480 × 0.70 × 0.80
= $480 × 0.56 ≈ $269
Better dealThe first machine is a better deal, because The 50% markdown is off the original price.
The 30% markdown on the second machine is off the original price, but the additional 20% is off the reduced price. Hence the total markdown is not as great as on the first machine.
Find the sum.
10 + 12 + 14 + ... + 80
Answer:
1620
Step-by-step explanation:
The amount of even integers between 10 and 80 inclusive is 36 (5 for each interval of 10 [e.g., 10-19 has 5, 20-29 has 5] and one extra for 80).
Since the numbers are consecutive even numbers, we can use the fact that the sum of the numbers is equal to the average of the numbers, times the number of numbers.
The average of the numbers is 45, since \(\frac{10+80}{2}=45\). We can use only the two outer numbers to determine the average since the numbers are all evenly spaced as they are consecutive even numbers.
\(45\times36=1620\), so the sum is 1620.
The solutions of x2 + 3x + 12 = 0 are
we have the equation
\(x^2+3x+12=0\)Solve using the formula
a=1
b=3
c=12
substitute
\(x=\frac{-3(+-)\sqrt{3^2-4(1)(12)}}{2(1)}\)\(x=\frac{-3(+-)\sqrt{-39}}{2}\)Remember that
i^2=-1
so
\(x=\frac{-3(+-)i\sqrt{39}}{2}\)The answer is the fourth optionASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
The Answer is B
Step-by-step explanation:
Why, Because it is saying graph the equation by a number of units so it will most likely be going down. Hope it helps.
A fine jewelry store leased a space at the mall with a base rent of $1,800 a month, plus 4% of all sales over $200,000. If the gross sales were $325,000, what was the total amount of rent paid by Heinz Fine Jewelry at the end of the year?
Answer:
So, first, we have to establish how much the base rent ends up costing. So to find that, we do 1,800x12=21,600. So the base rent is $21,600. Then, we add the 4% of sales which is 125,000x0.04=5,000. So, we add $21,600 with $5,000 and we get a final answer of $26,600 owed at the end of the year :)
Step-by-step explanation:
are the ratios 2:1 and 20:10 equivalent
Yes, there is an analogous ratio between 2:1 and 20:10.
What ratio is similar to 2 to 1?We just cancel by a common factor. So 4:2=2:1 . The simplest representation of the ratio 4 to 2 is the ratio 2 to 1. Also, since each pair of numbers has the same relationship to one another, the ratios are equivalent.
By dividing the terms of each ratio by their greatest common factor, we may simplify both ratios to explain why.
As the greatest common factor for the ratio 2:1 is 1, additional simplification is not necessary.
The greatest common factor for the ratio 20:10 is 10. When we multiply both terms by 10, we get:
20 ÷ 10 : 10 ÷ 10
= 2 : 1
As a result, both ratios have the same reduced form, 2:1, making them equal.
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