Answer:
D. Kari added the compatible numbers –12 and 4.
Step-by-step explanation:
Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error?
-12 1/5 ÷ 4 2/5 = -8
A. Kari multiplied the compatible numbers –12 and 4.
-12 * 4 = 48
A. Is not correct
B. Kari found that the quotient of a negative number and a positive number is negative.
Example:
-a/a = -1
The rule is right
C. Kari found that the quotient of a positive number and a negative number is positive.
a/-a = -1
The rule is wrong
D. Kari added the compatible numbers –12 and 4.
= -12 + 4
= -8
Therefore, Kari error was that she added the compatible numbers –12 and 4.
Help please!! I'm trying to solve this question but I can't seem to find the length of one side properly, that said, I'm unable to evaluate the whole question as finding the length of one side seems complicated for me right now.
And if you guys find something wrong with the number, do let me know.
each side of a triangle is nine inches long. find the perimeter
The triangle in which the side are nine inches long has a perimeter of 27 inches.
Perimeter of a triangle
The perimeter of a triangle is the sum of the length of the whole side.
The triangle have three sides and the perimeter is the sum of the whole sides.
According to the question, the triangle has the whole sides as 9 inches.
This means the triangle is an equilateral triangle.
Therefore,
length of side = 9 inches
perimeter = 9 + 9 + 9
perimeter = 27 inches
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The value of a boat is $36,450. It loses 10% of its value every year. Find the approximate monthly percent decrease in value. Round your answer to the nearest hundredth of a percent.
Answer:
$300 because $36,450 X 0.10 is equals to $3,645 divided by 12months is equals to $303.75
round off by the nearest hundred is $300.
16: Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the Hyperbola y^2-16x^2=1.
Answer:
Foci [tex](0,\pm\frac{\sqrt{17}}{4})[/tex]
Vertices:[tex](0,\pm 1)[/tex]
Eccentricity, e=[tex]\frac{\sqrt{17}}{4}[/tex]
Length of latus rectum=[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
We are given that
[tex]y^2-16x^2=1[/tex]
[tex]y^2-\frac{x^2}{(\frac{1}{4})^2}=1[/tex]
The equation of hyperbola is along y-axis because y is positive
Compare the equation with
[tex]y^2/a^2-x^2/b^2=1[/tex] (Along y-axis)
We get
a=1, b=1/4
[tex]a^2+b^2=c^2[/tex]
[tex]1+\frac{1}{16}=c^2[/tex]
[tex]\frac{16+1}{16}=c^2[/tex]
[tex]c^2=\frac{17}{16}[/tex]
[tex]c=\pm \frac{\sqrt{17}}{4}[/tex]
Therefore,
The coordinates of foci=[tex](0,\pm c)=(0,\pm\frac{\sqrt{17}}{4})[/tex]
The coordinated of vertices=[tex](0,\pm a)=(0,\pm 1)[/tex]
Eccentricity, e=c/a
[tex]e=\frac{\frac{\sqrt{17}}{4}}{1}=\frac{\sqrt{17}}{4}[/tex]
Length of latus rectum=[tex]\frac{2b^2}{a}[/tex]
Length of latus rectum=[tex]2\times \frac{1}{16}=\frac{1}{8}[/tex]
Don’t understand can someone help
Step-by-step explanation:
Points ( -3,5 )( 6,-4 )
You use the slope formula to find the slope.
Note: You'll need to learn the slope formula to make more sense of it, I suggest watching a video about it.M = Y2 - Y1 over
X2 - X1
Which is -4 - 5
6 - -3 = -9/9 = -1
The slope is -1
Now to find the y-intercept we use one of the x,y points ( I'll use 6,-4 )
And plug them in
-4 = -1(6) + b
-4 = -6 + b
+6 +6
2 = b
The equation will be y = -1x + 2
Please help!! Algebra 1
The value of a home in 2015 was $400,000. Its value has been doubling each decade.
1. If v is the value of the home, in dollars, write an equation for v in terms of d, the number of decades since 2015.
Complete the equation below
v = _______________
Use d as your variable.
Use the ^ symbol to represent an exponent.
For example: 52 should be typed as 5^2
Answer:
[tex]v = 400000(2^\wedge d)[/tex]
Step-by-step explanation:
Given
[tex]Initial\ Value = \$400000[/tex]
[tex]Rate = doubles[/tex] per decade
Required
Determine the equation of the function
The information given shows that the function is exponential and will be calculated using:
[tex]v = ab^d[/tex]
Where:
a = Initial Value = 400000
b = rate = 2
d = number of decades
v = the current value of the home
So, we have:
[tex]v = 400000* 2^\wedge d[/tex]
[tex]v = 400000(2^\wedge d)[/tex]
The equation that represents the value of the home is v = $400,00(2^d).
What is the equation that represents the value of the home?
The home is appreciating in value. This means that the price of the house is increasing with the passage of time.
The formula that can be used to represent the appreciation is:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of yearsv = $400,000(2^d)
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plz help!!! i’ll mark brainliest!!!
Answer:
24 ft
Step-by-step explanation:
Sasha is collecting cans to recycle. When she collected 180 cans she knew she had reached 60% of her goal. How many more cans does Sasha need to collect to reach her goal?
Sasha needs to collect 120 more cans to reach her goal.
let us say the total goal is 100x
it is given that
when she collected 180 cans she knew she had reached 60% of her goal.
what is the percentage?it is made up of two words 'per' and 'cent' means it is the value out of a hundred.
60% of 100x= 60x
60x = 180(given)
x=3
total goal = 100x= 100*3=300
total goal left= 300-180=120
therefore, Sasha needs to collect 120 more cans to reach her goal.
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Help ASAP please please 14 and 15
Solve the equation x2 = 400.
Answer:
200
Step-by-step explanation:
400/2 = 200
If I am rotating a figure counterclockwise, then it will move in the SAME DIRECTION as the hand of a clock. True or Fasle
Answer:
false
Step-by-step explanation:
when you move COUNTERclockwise, you go in the opposite direction that a clock goes, so you would go to the left instead of the right
Paul plans to buy a movie that has a regular price of $12.99. It is on sale for 15% off, but Paul will have to pay 7% sales tax. Which is the MOST reasonable estimate of the total cost of the movie including tax?
Answer:
I got 11.814405
Step-by-step explanation:
12.99 times .85 then multiply by 1.07
help me please??????
i will mark brainliest how do i solve for 5+3x<50?
Answer:
x<15
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
3x+5<50
Step 2: Subtract 5 from both sides.
3x+5−5<50−5
3x<45
Step 3: Divide both sides by 3.
3x /3 < 45 /3
The ratio of boys to girls in Ella’s grade is 2:3. How many boys are in Ella’s grade?
Answer:
2
Step-by-step explanation:
If the ratio is 2:3 that means there are 2 boys and 3 girls because the sentence starts with BOYS to GIRLS meaning the number of girls come second
- El resultado de la conversión de 350 km/h a m/s es:
A. 1.26x10 m/s
B. 1260 m/s
C. 97.22 m/s
Answer:
350 kilómetros por hora son 97,2222 metros por segundo ;)
The result of converting 350 km/h to meter per second is 97.22 m/s.
To convert from kilometers per hour (km/h) to meters per second (m/s), you need to apply the conversion factor.
The conversion factor for this conversion is 1 km/h = 0.2778 m/s.
To convert 350 km/h to m/s, multiply 350 by the conversion factor:
350 km/h×0.2778 m/s
= 97.22 m/s
Therefore, the result of converting 350 km/h to m/s is approximately 97.22 m/s.
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Is the relation shown below a function? Explain
Answer:
no
Step-by-step explanation:
I don't know maybe I really don't know im not smart at all
As input 20 relates to two different outputs 40 and 50 the relation is not a function.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
We know a relation is a function if it is one to one implies every input relates to different output or many one as different inputs lead to the same output.
The given information is represented by a diagram has one-to-many relations as the input 20 leads to the same output 50 so this is a one-to-many relation and not a function.
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Can somebody plz help answer these questions correctly (like what the letters equal/answers thanks :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD
Answer:
12 X=2.2
13. y = 6.4
14. m= 8.5
15. z=9.9
16. n= 18.4
17. X= 5.8
Which Number line shows the solution to the inequality?
x + 1 > 5
Answer:
A
Step-by-step explanation:
Subtract 1 on both sides of the inequality
we get x>4.
So graph A is correct.
giving brainliest!!!! please help!!
Answer:
{4, 5 }
Step-by-step explanation:
Solve the inequality
n + 1 > 4 ( subtract 1 from both sides )
n > 3
The set of values that make the inequality true is { 4, 5 }
please help me out thank you.
Answer:
the answer is D {-5, -13}
14 feet:_____ yards__ foot make sure both yards an foot.
Answer:
The speaker is a child who cannot understand the concept of a shadow or what it is, that it isn't another person, and instead looks at his shadow in a new way, showing the reader how to think past the mere science of it. rhuman being.
Step-by-step explanation:
please help
Write the equation of the line represented by y =2/3x-5 in standard form
Answer:
2x-3y=15
Step-by-step explanation:
y=2/3x-5
2/3x-y=5
3(2/3x-y)=3(5)
2x-3y=15
The required equation of the line is represented by 2x- 3y = 15 in standard form.
What is the standard form of linear equations?A linear equation is written in the standard form as Ax + By = C, where A, B, and C are integers and x and y are variables.
For example, 8x + 2y = 7 is the standard form of a linear equation in two variables.
The equation is given in the question
⇒ y = 2/3x - 5
We have to determine the standard form of the given linear equation
⇒ y = 2/3x - 5
⇒2/3x - y = 5
Multiply by 3 into both sides of the above equation,
⇒3(2/3x-y) = 3(5)
⇒2x - 3y = 15
Therefore, the required equation of the line is represented by 2x- 3y = 15 in standard form.
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Aviva deposited some amount of money at a 4% annual interest rate into her bank account. The money was left in the account for 18 months, and she did not make any more deposits.
If Aviva's money earned $240 interest after 18 months, how much money did she deposit into the account?
The amount of money that was deposited by Aviva into her bank account is $4,000.
Given the following data:
Interest rate = 4% = 0.04.Simple interest = $240.Time = 18 months.Conversion:
12 months = 1 year.
18 months = 1.5 year.
To determine the amount of money that was deposited by Aviva into her bank account:
How to calculate simple interest.Mathematically, simple interest is given by this formula:
[tex]I=PRT[/tex]
Where:
S.I is the simple interest.P is the principal or starting amount.R is the interest rate.T is the time measured in years.Substituting the given parameters into the formula, we have;
[tex]240=P \times 0.04 \times 1.5\\\\240=0.06P\\\\P=\frac{240}{0.06}[/tex]
P = $4,000.
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help me out with this pls (multiple choice)
M
Answer:
A.
Step-by-step explanation:
Look up "45 45 90 triangle" for diagrams to better explain.
In one hour a machine can make
500 nuts
or
840 bolts.
At 2 pm the machine starts working.
It makes 750 nuts and then changes to making bolts.
How many bolts will the machine make by 8.00 pm?
Answer:
3780 bolts will be made by 8pm
Step-by-step explanation:
One Hour : 500 nuts or 840 bolts
Divide by 2
30 minutes : 250 nuts or 420 bolts
750 nuts : 500 + 250 = 750
so the machine took 1 hour and 30minutes
14:00 it started (2pm)
15:30 it switched to bolts
20:00 (8pm)
4 hours and 30minutes to get to 8pm
840 × 4 = 3360 bolts + 420 bolts = 3780 bolts was made
What is the arc length of the arc angle shown below? * HELP!!
Answer:
length of arc=60/360×2π×12=1/6×2×12π=4π=4×22/7=12.57cm
There are 36 carpenters in a crew. On a certain day, 29 were present. What percent showed up for work? (round to the nearest tenth)
Answer:
80.6%
Step-by-step explanation:
29/36 = about 0.8055556 = 80.55556% = about 80.6%
A recipe for rice and lentils calls for 1 L of broth for every 250 g of lentils
and 250 g of rice.
How much rice do you need if you use 2.5 L of broth?
8. Can Sandra claim Debbie as a qualifying relative on her 2019 return? a. Yes, because Debbie lived with Sandra as a member of her household for all of 2019. b. No, because Debbie had gross income of more than $4,200 during the tax year.
Answer:
b. No, because Debbie had gross income of more than $4,200 during the tax year.
Step-by-step explanation:
Qualifying relative refers to the person those who meet the five of the requirements of the Internal revenue Service or the IRS. They are :
-- The person is not a qualifying child.
-- Individual must be a citizen of U.S., Canada or Mexico or alien resident of the USA.
-- The person should be a relative of the tax payer for a complete and has a relationship with the tax payer which is either by blood or by donation.
-- The tax payer should be supporting a higher than half of the expenses of the person.
-- Individual must have less than a gross income of 4,200 dollar in the year 2019.
Since, gross income is 18,250 dollar of Debbie and therefore she is not a qualifying relative.