ANSWER:
H) y =- 2/3x + 4
STEP-BY-STEP EXPLANATION:
We have that the function in its slope and intercept form has the following form:
\(\begin{gathered} y=mx+b \\ \\ \text{ m is the slope and b is the y-intercept} \end{gathered}\)We can calculate the slope using the following formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)We selecting the points (0, 4) and (6,0), replacing:
\(m=\frac{4-0}{0-6}=\frac{4}{-6}=-\frac{2}{3}\)The intercept with and we can determine the graph and is 4, therefore the equation would be:
\(y=-\frac{2}{3}x+4\)Therefore, the correct option is H) y =- 2/3x + 4
Evaluate 3x-5y when x=5 and y=1
Answer:
10
Step-by-step explanation:
Place it in.
3(5)-5(1)
15-5
10
Imagine that the price per gallon of gas with a $7 car wash is $3.32 and the price without a car wash is $3.52 When is it worth it to buy the car wash? When is it worth it if the car wash cost $4
Answer: b and d
Step-by-step explanation:it IS
In ΔGHI, g = 240 cm, m m∠H=157° and m m∠I=17°. Find the length of h, to the nearest 10th of a centimeter.
Check the picture below.
\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm\)
Make sure your calculator is in Degree mode.
what is the length of the dominant line in the time graph below? l leave your answer in simplest radical form.
Let's first calculate the lenght of the side of the rectangle.
\(l=\sqrt[]{8^2+5^2}=\sqrt[]{64+25}=\sqrt[]{89}\)so we get that the dotted line is:
\(d=\sqrt[]{2^2+89}=\sqrt[]{93}\)so the answer is square root of 93
What does 5 cubed equal?
Answer:
125
Step-by-step explanation:
it is the multiflication of 5 by itself 3 times (5×5×5=125)
what is a direct proportion.
Answer:
a proportion of two variable quantities when the ratio of the two quantities is constant. Hope this helps!
Step-by-step explanation:
Answer:
a proportion of two variable quantities when the ratio of the two quantities is constant.
Step-by-step explanation:
\(\frac{6-\sqrt{8} }{\sqrt{2}-1 }\)
Answer:
2 +4√2
Step-by-step explanation:
Perhaps you want the simplified form of (6-√8)/(√2 -1).
ConjugateThe denominator can be rationalized by multiplying numerator and denominator by the conjugate of the denominator:
\(\dfrac{6-\sqrt{8}}{\sqrt{2}-1}=\dfrac{(6-\sqrt{8})(\sqrt{2}+1)}{(\sqrt{2}-1)(\sqrt{2}+1)}=\dfrac{6\sqrt{2}+6-\sqrt{16}-\sqrt{8}}{2-1}=\boxed{2+4\sqrt{2}}\)
__
Additional comment
The conjugate of the denominator is the same pair of terms with the sign between them changed. The product of the binomial and its conjugate is then the difference of squares. Since the square of a square root eliminates the radical, multiplying by the conjugate has the effect of removing the radical from the denominator.
The same "difference of squares" relation can be used to remove a complex number from the denominator.
(a -b)(a +b) = a² -b²
In general, the differences of terms of the same power can be factored. This means that denominators with this form can be "rationalized" by taking advantage of that factoring.
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Answer:
\(4\sqrt{2}+2\)-----------------------
Simplify the expression in steps:
\(\cfrac{6-\sqrt{8} }{\sqrt{2}-1 } =\)
\(\cfrac{6-2\sqrt{2} }{\sqrt{2}-1 } =\)
\(\cfrac{2(3-\sqrt{2} )(\sqrt{2} +1)}{(\sqrt{2}-1)(\sqrt{2}+1) } =\)
\(\cfrac{2(3\sqrt{2}+3-(\sqrt{2}^2) -\sqrt{2} )}{(\sqrt{2})^2-1 } =\)
\(\cfrac{2(2\sqrt{2}+3-2) }{2-1} =\)
\(\cfrac{2(2\sqrt{2}+1) }{1} =\)
\(4\sqrt{2}+2\)
Ian took out a $19,000 personal loan to pay for his home renovations. He will not make a payment for 5 years and there is a 15% interest rate. How much will be owed in 5 years with monthly compounding?
Round your answer to the nearest cent.
Do NOT round until your final answer.
The amount owed in 5 years with monthly compounding, considering a $19,000 personal loan with a 15% interest rate, will be $34,558.52.
1. Convert the interest rate to a decimal: 15% = 0.15.
2. Determine the number of compounding periods: Since the loan compounds monthly, multiply the number of years by 12. In this case, 5 years * 12 months/year = 60 months.
3. Calculate the monthly interest rate: Divide the annual interest rate by 12. In this case, 0.15 / 12 = 0.0125.
4. Use the compound interest formula to calculate the future value:
Future Value = Principal * (1 + Monthly Interest Rate)^(Number of Compounding Periods)
Future Value = $19,000 * (1 + 0.0\(125)^{(60\))
5. Evaluate the expression inside the parentheses: (1 + 0.0\(125)^{(60\)) ≈ 1.954503.
6. Multiply the principal by the evaluated expression: $19,000 * 1.954503 = $37,133.57 (unrounded).
7. Round the final answer to the nearest cent: $34,558.52.
Therefore, in 5 years with monthly compounding, the amount owed on the $19,000 personal loan will be approximately $34,558.52.
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I NEED HELP STAT
=12×0.75
Answer:
9
Step-by-step explanation:
use a calculator of just think about it
Answer:
9.00
Step-by-step explanation:
FICA Taxes
Tax source
Social Security
Medicaid
Tax rate
6.2%
1.45%
How much does
an employee who
earns $64,000
gross salary pay
total for FICA
Taxes?
The total gross salary for FICA taxes is $4896 with the tax rates 6.2% and 1.45%.
What is meant by gross salary?The amount you earn each month before taxes and other deductions is referred to as your monthly gross income. In other words, it's your annual salary divided by 12. It's only a simple metric to aid in budgeting and other routine financial computations.
Annual Salary Amount / Number of Pay Periods = Gross Pay.
Gross pay equals the number of hours worked in a pay period multiplied by the hourly rate (+ overtime hours multiplied by the hourly overtime rate).
Given,
Tax rate=6.2%
=64000(6.2/100)
=3968
And also given another tax rate is 1.45%
=64000(1.45/100)
=92.8
Total=3968+928
=$4896
Therefore, the total gross salary for FICA taxes is $4896.
The total gross salary for FICA taxes is $4896 with the tax rates 6.2% and 1.45%.
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HELP PLEASE!!!!!! Anaya bought a sweater that was on sale. The sweater originally cost $34.50 but was purchased for $27.60. What percentage of the original price was the discount?
Answer: 80%. Hope this helps, please consider making me Brainliest.
Step-by-step explanation:
To find the percentage, divide the sale cost by the original cost:
27.60/34.50
Let's multiply both sides by 10 to make the operation easier:
27.6/34.5 ( I eliminated the zero's because they kind of have no use) -->
276/345, now solve:
276/345 = 0.8
0.8 = 80%
The percentage is 80%.
How many years will it take an initial investment of $25,000 to triple to $75,000 at an annual rate of 7% compounded continuously
Answer:
\(t = 15.7\)
Step-by-step explanation:
Given
\(Principal = 25000\) --- P
\(Amount = 75000\) --- A
\(Rate = 7\%\) --- R
Required
Determine the time (t)
Using continuous growth formula:
We have
\(A = Pe^{rt}\)
Convert rate to decimal
\(Rate = 7\%\)
\(r = 0.07\)
Substitute values for A, P and r
\(75000 = 25000 * e^{0.07t}\)
Divide both sides by 25000
\(3 = e^{0.07t}\)
Rewrite the exponential function as logarithmic, we have:
\(ln3 = 0.07t\)
Reorder
\(0.07t = ln3\)
Divide both sides by 0.07
\(t = \frac{ln3}{0.07}\)
\(t = \frac{1.09861228867}{0.07}\)
\(t = 15.69\)
\(t = 15.7\)
Hence, the time is approximately 15.7 years
G
Where in the museum did Jake and Summer agree to meet?
at the Venus De Milo statue
at the museum cafe
in the Denon wing
at the portrait of the Mona Lisa
What’s the answer
Answer:
A) at the Venus De Milo statue
Step-by-step explanation:
do it
Jake and Summer agreed to meet in this specific part of the museum in the story Teen detectives:
At the Venus De Milo statue
Teen detectives storyThis is a reading comprehension activity about the story Teen detectives, which follows the adventures of Jake and Summer.
Reading comprehensionIn reading comprehension exercises, you have to read the text or story carefully, then read the exercise's instructions and finally select the key words that can help you understand the whole story better.
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Help meeeeee please I have to do this
Hi there!
b=3·b=3b
This means:
1=3, 2=6, 3=9, 4=12, 5=15, 6=18, 7=21, 8=24, and 9=27.
Multiply by 3 everytime...
if b is 3, then the expression is is 3·b or 3b.
Final Result: 3b
As, we are given :
Minutes taken to fill Sylvia's bathtub with water = b minutes
Therefore,
Minutes taken to fill 3 bathtubs like Sylvia's bathtub = 3 × b minutes = 3b minutes
Hence, Minutes taken to fill 3 bathtubs like Sylvia's bathtub are 3b minutes.
What is the product of −3 1/4 and −1 1/2? Enter your answer as a mixed number, in simplified form, in the box.
PLEASE HURRRYYY!!!
The product of −3 1/4 and −1 1/2 as a mixed number is \(4\frac{7}{8}\).
The product of −3 1/4 and −1 1/2 as a simplified form is \(\frac{39}{8}\)
What is products and mixed numbers?Thew products between two terms can be described as the multiplication operation of the the two terms to give a term which is been performed by the use of the operation sign (*) between the two terms.
The mixed number can be defined as the numbers that contains whole numbers as well as the denominators and numerator.
It should be noted that the product of −3 1/4 and −1 1/2 can be done as (\(-3\frac{1}{4} * -1\frac{1}{2} = -\frac{13}{4} * \frac{-3}{2} = \frac{39}{8} = 4\frac{7}{8}\)
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Find the equation of a quadratic function with zeros at x = 2 and x = 4 and y-intercept (0,8). Give your answer in standard form.
Answer:
x^2-6x+8
Step-by-step explanation:
Put it in intercept form and distribute
I REALLY NEED HELP WITH THIS.
Answer:
alright so 1 and 2 are equal to each other because there congruent angles. When angkes are congruent to each other or in other words the opposite to each other there equal.
what is 4/20 plus 12/20 and in simplest terms
\(\huge\underline\color{purple}{Answer ☘}\)
tσ fínd -\( \huge\frac{4}{20} + \frac{12}{20} = ?\)
————————————————ѕσlutíσn~\( \frac{4}{20} + \frac{12}{20} = \frac{16}{20} \\ \\ in \: simplest \: terms.. \\ \\ \frac{16}{20} ÷ \frac{4}{4} = \frac{4}{5} \)
hσpє hєlpful~
~вє вrαínlч!Answer:
4/5
Step-by-step explanation:
4/20+12/20=16/20
=4/5
Evaluate the function rule for the given value y=12•3x for x=-2
Answer:
-72
Step-by-step explanation:
We just have to plug in -2 for x so the answer is 12 * 3 * (-2) = -72.
40% of 30 equals what percent of 48?
40 percent of 30 is equal to 25 percent of 48.
We have to find first 40% of the number 30.
40% of 30 = 40% × 30
= (40 / 100) 30
= 0.4 × 30
= 12
Now we have to find what percent of 48 is 12.
Let the required percentage be x.
x% of 48 = 12
(x/100) 48 = 12
x/100 = 12/48
x/100 = 0.25
x = 0.25 × 100
x = 25%
Thus, 40% of 30 equals 25% of 48.
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Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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Which fraction is closest to 1/2
?
The fraction which is closest to 1/2 is, 3/8. So option B is correct
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
A fraction number 1/2
In decimal form = 0.5
Closest fraction number = ?
Most closest number is that number from which we subtract the given number and the magnitude of result we get is very less,
Lets take, A fraction 1/6
In decimal form it can written as, 0.167
Difference 1 = 0.5 - 0.167
= 0.333
Similarly, For numbers 3/8, 3/4, -1/2
Difference 2 = 0.5 - 0.375 = 0.125
Difference 3 = 0.5 - 0.75 = -0.25
Difference 4 = 0.5 - (-0.5) = 1.0
It can be seen that,
Magnitude of difference in case of 3/8 is very less
Hence, the closest number is 3/8
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Jacob is going on a vacation to Australia. His flight leaves at 1:15 P.M. It takes 1 hour to get to the airport, and Jacob wants to be at the airport 1 hour and 15 minutes before his flight leaves. What is the latest time that Jacob can leave for the airport?
Plzzzz help
Answer:
The latest time is 12:00
Step-by-step explanation:
take an hour away for 1:15 which is gonna be 12:15 then take the 15 minutes away and you get 12:00
Answer:
11:00
Step-by-step explanation:
if he leaves at 11:00 it’s takes an hour to get there. So when he gets there it’s 12:00 Add an hour 15 and you get 1:15
The ratio of the length of a arc of a circle to the circumference of a circle is given as 2:5. If the radius of the circle is 14cm. Calculate to 1 decimal point
I)perimeter of the minor sector
ii)area of minor sector
The perimeter and the area of a circular sector are 56π / 5 centimeters and 392π / 5 square centimeters.
How to determine the perimeter and the area of circular sectors
In this question we must determine the perimeter of the minor sector, that is, of the sector related to an circle arc, and the area of the same sector. The arc length formula is introduced below:
s = θ · r
Where:
θ - Central angle, in radians. r - Radius, in centimeters.s - Arc length, in centimeters.First, determine the arc length:
s = (2 / 5) · 2π · (14 cm)
s = (4π / 5) · (14 cm)
s = 56π / 5 cm
And the area of the circular sector is introduced below:
A = (θ / 2) · r²
A = (2π / 5) · (14 cm)²
A = 392π / 5 cm²
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Find B: 6mi 9mi 5.3mi 8mi 10mi
The value of B by the given data is 8 mi.
We are given that;
Measurements= 6mi 9mi 5.3mi 8mi 10mi
Now,
The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
To find B, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is 10 mi and the other two sides are 6 mi and B. We can write:
10^2 = 6^2 + B^2
Simplifying, we get:
100 = 36 + B^2
Subtracting 36 from both sides, we get:
64 = B^2
Taking the square root of both sides, we get:
8 = B
Therefore, by Pythagoras theorem the answer will be 8 mi.
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Find the measure of the missing angles.
Answer:
c = 62 degrees
b = 118 degrees
Step-by-step explanation:
vertical angles are congruent. the 62-degree angle is vertical to angle c
linear pair angles are supplementary. the 62-degree angle is supplementary to angle b. 180 = 62 + b. 118 = b
Phillip, Anna, and Mackenzie go out to dinner. They leave a 20% tip, which is $6. How much was their total bill with tip included? A. $24 B. $26 C. $30 D. $36
Answer:
give me points plzzz
Step-by-step explanation:
A police officer invested $5,000 in a treasury bond paying 4.75% interest compounded quarterly. After 25 years, the value of the bond will be $16,280.08. If the police officer's investment was compounded continuously instead of four times per year, what would be the difference in the account balances after 25 years?
Answer:
114.29
Step-by-step explanation:
How often should you visit your courses
In D2L
It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.
1. A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. How many apples are yellow.
Answer:
?
Step-by-step explanation:
You can’t know that, because you don’t know how many total apples there are.