Answer:
The sum of two numbers is 78. If four times the smaller number is subtracted from the larger number, the result is 13. What are the two numbers?
Step-by-step explanation:
EQUATION:
x+ y = 78
x-4y = 13
-------------
solve by any method to get:
x = 65
y = 13
Find the equation of the line. The line is parallel to y=-6/7x +1 and passes through the point (-7, -3). The equation of the line is y=
Answer:
same slope but the y- intercept would be -9
A car salesperson earns a 5.8% commission on every car sold. How much commission will the salesperson earn on the sale of a $28,400 car? *
Answer:
1647.20
Step-by-step explanation:
You do .58 times 28,400. Then you move the decimal place over 1 place to the left. Because it is already 5.8%
In San Diego, the weather was sunny 90% of the says this past June. How many days was it sunny
Answer:
27 days
Step-by-step explanation:
June has 30 days, So our equation looks like this:
30*0.9=27 days.
One part of Clare’s job at an environmental awareness organization is to answer the phone to collect donations. The table shows the number of hours she worked each week, \small x, and the amount of donations in dollars, \small y, that the organization collected each week for 10 weeks. The data in the scatter plot suggest a linear association. A line to model the data is given by \small y=12x+41.
Describe the correlation between the variables as either strong or weak and as either positive or negative. Explain your reasoning.
Answer:
The more hours she worked the more donations she would receive.
Step-by-step explanation:
In the chart the higher the number of how many hours she worked resulted in a higher amount of donations
The association between the variables is strong and positive.
The equation of a straight line is given by y = mx + c. can easily make use of a regression line to ascertain the nature of the relationship between two variables as we can see in the graph shown in the question.
From the graph shown in the question, it is easy to ascertain that the association between the variables is strong and positive. The association is strong because the points lie together and positive because the plot increases linearly.
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Minus one thousand ,eight hundred and five point nine six as a number
Answer:
-1805.96
Step-by-step explanation:
I think that is the answer
Answer:
-9805.96 this is the answer
If triangle ABC is equilateral, and side AC is 7m long, how long is side BC?
Answer:
7m
Step-by-step explanation:
In an equilateral triangle all the sides and angles are the same
7. Find the value of x and y:
x=
y=
(10x - 61)
(18y + 5)º
(x + 10)
Answer:
y = 8º
y = 8º
Step-by-step explanation:
Given:
(10x - 61)º
(18y + 5)º
(x + 10)º
Find:
x and y
Computation:
(10x - 61) + (x + 10) = 180
11x - 51 = 180
11x = 231
x = 21º
(10x - 61)º = (18y + 5)º [Vertical opposite angle]
10x - 61 = 18y + 5
10x - 18y = 66
5(21) - 9y = 33
y = 8º
If three servings of ice cream has 24g of fat, how many milligrams of fat does one serving have?
Answer:
600
Step-by-step explanation:
24 by 3 times 100
The number of milligrams of fat that one serving has is 8000 milligrams.
Firstly, it should be noted that
1000mg = 1 gram.
Since three servings of ice cream has 24g of fat, therefore, the fa that will be contained in each will be:
= 24/3
= 8g
Therefore, we'll convert 8 grams to milligrams and this will be:
= 8 × 1000
= 8000 milligrams.
Therefore, a serving has 8000 milligrams.
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write 13.28 as a fraction in the lowest term
Answer:
13 wholes and 7/25
Step-by-step explanation:
write 28 over 100 and just simplify but don't forget 13
What is the average daily temperature for all ten years?
49.6
50.8
52.4
53.6
Answer:
51.6
Step-by-step explanation:
Add them together and divide by 4
Answer: it would be D. 53.6
<3
The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity.
tan(x)sin(2x)
= tan(x)∙[2sin(x)cos(x)]
= StartFraction sine (x) Over cosine (x) EndFraction times 2 sine (x) cosine (x)
= 2sin2(x)
= 1 – cos(2x)
What are the correct justifications, listed in proper order?
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
Double Angle Identity, Simplify, Double Angle Identity, Quotient Identity for Tangent
Double Angle Identity, Simplify, Quotient Identity for Tangent, Double Angle Identity
Double Angle Identity, Quotient Identity for Tangent, Double Angle Identity, Simplify
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity is option A
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity.
What is double angle identity?The sin2x formula is the double angle identity used for sine function in trigonometry. Trigonometry is a branch of mathematics where we study the relationship between the angles and sides of a right-angled triangle. The formula for sin2x: sin2x = 2 sin x cos x (in terms of sin and cos)
Given
1 – cos(2x) = tan(x)sin(2x)
Taking R.H.S
tanx.sin2x
= tanx(2 sinx cosx)
2 sinx cosx is a double angle identity
= [tex]\frac{sinx}{cosx} .(2 sinxcosx)[/tex]
[tex]\frac{sinx}{cosx}[/tex] is a quotient identity for tangent
= [tex]2sin^{2} x[/tex]
We have simplify by cancelling out cosx.
= 1 - cos(2x)
It is a double angle identity.
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Find the range of the following piecewise function. [27,3) (-22,3] (27,3] [-22,3)
Answer:
The answer is "(27,3]"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\to f(-5) = (-5)^2 + 2 = 25 +2 =27\\\\\to f(7)= 7-4 = 3\\\\answer \ is = ( 27, 3]\[/tex]
Answer
(27,3]
Step-by-step explanation:
Correct In HW
find the equation of circle whose centre is at (3,4) and passing through (1,5)
Answer:
Step-by-step explanation:
Answer:
[tex](x-3)^{2} + (y-4)^{2} = r^{2} \\\\(1-3)^{2} + (5-4)^{2} = r^{2}\\r^{2} = 5 \\so the equation is \\(x-3)^{2} + (y-4)^{2} = 5[/tex]
Step-by-step explanation:
What is the value of 3-(-2)? 25 -3 -2 -1 0 1 5 0 1 O 5
Answer:
5
Step-by-step explanation:
(because when two negative meets it gives u positive )
What are the different ways to write multiplication in math
Answer:
Different ways to write multiplication include:
3 times 5
3x5
(3)(5)
3(5)
(3)5
etc
Step-by-step explanation:
I hope this helps!
Answer: 3 x 5, 3 · 5, 3 * 5 , (3) (5), 3 (5), and (3) 5. Hope this helps.
Step-by-step explanation:
Let f(x)=2x+7 and g(x)=3x2+2 Find f(g(3))
The answer is 65
I hope it will help
The required simplified solutions of the function f(g(3) ) = 65.
Given that,
f(x)=2x+7 and g(x)=3x2+2, To find f(g(3)).
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
g(3) = 3[3]² + 2 = 29
f(g(3)) = 2 [29] + 7 = 65
Thus, the required simplified solutions of the function f(g(3) ) = 65.
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Find the equation of this line in slope intercept form y-2=1/2(x+8)
Someone please explain to me how I go about to find this answer. My daughter is having trouble and her algebra 1 teacher ia no help!!!!
Answer:
3/4
Step-by-step explanation:
do you need a deep explanation? or just a quick one?
Answer: the slope is 4/3
Explanation :
1) pick 2 points on the graph. I picked ( 30, 20) and (60,60)
2) to find m, we do rise over run. Y is the rise and x is the run.
3) subtract the y exponents from eachother over the x exponents.
4) Do this : 60-20/ 60-30 . After solving, you should get 4/3.
5) good luck
what does the power of 10 Mean
Answer:
[tex]x^{10}[/tex]
Step-by-step explanation:
for example, if the variable x stands for 2, [tex]2^{10}[/tex] stands for 2*2*2*2*2*2*2*2*2*2
What is the domain and range of y=2x+5
You have $20 to spend on lip balm and hand sanitizer. The equation $1.5x+2.5y=20$ represents this situation, where x is tubes of lip balm and y is bottles of hand sanitizer. How many bottles of hand sanitizer can you buy when you do not buy any tubes of lip balm?
Answer:
13
Step-by-step explanation:
20÷1.5 since there is not X
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PLSSSS HELPPP MEEE I WILL GIVE BRAINLIEST!!!!!!!
PLSSSS HELPPP MEEE I WILL GIVE BRAINLIEST!!!!!!!
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PLSSSS HELPPP MEEE I WILL GIVE BRAINLIEST!!!!!!!
Answer:
Y = x + 3
Step-by-step explanation:
The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.
Answer:
Y = x + 3
Step-by-step explanation:
The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.
30+3000??????????????????
Answer:
3030
Step-by-step explanation:
it is the right answer wen you add it up
PLEASE ANSWER ASAP Find the slope of the line
Answer:
4
Step-by-step explanation:
Slope is [tex]\frac{rise}{run}[/tex]. Or, in other words the distance it travels in the y direction divided by the distance it travels in the x direction. Each time the y variable increments +4 and the x variable increments +1. Which means the line rises 4 units every time it runs 1 unit.
Slope=[tex]\frac{rise}{run}=\frac{4}{1}=4[/tex]
What is the inverse operations of the equation shown n+4=
Answer:
i aint never seen two pretty bestfriends
Step-by-step explanation:
The height distribution of NBA players follows a normal distribution with a mean of 79 inches and standard deviation of 3.5 inches. What would be the sampling distribution of the mean height of a random sample of 16 NBA players?
Answer:
The probability will be "0.0111".
Step-by-step explanation:
The given values are:
Mean,
[tex]\mu[/tex] = 79
Standard deviation,
[tex]\sigma[/tex] = 3.5
Now,
⇒ [tex]\sigma\bar x = \frac{\sigma}{\sqrt n}[/tex]
[tex]= \frac{3.5}{\sqrt 16}[/tex]
[tex]=0.875[/tex]
⇒ [tex]P(\bar x > 81) = 1 - P(\bar x < 81)[/tex]
So,
= [tex]1 - P{\frac{(\bar x - \mu \bar x )}{ \sigma \bar x} < \frac{(81 - 79) }{0.875} ][/tex]
= [tex]1 - P(z < 2.2857)[/tex]
= [tex]0.0111[/tex]
Solve the inequality: 13 – n + 2n > 9
Answer:
n > -4
Step-by-step explanation:
1) Combine like terms.
13 + n > 9
2) Isolate n. (subtract 13 from both sides)
n > -4
the perimeter of a rectangle is at most 66 inches. the length is 2x + 6 inches and the width is x - 3 inches. write and solve an equation or inequality to find the value of x.
Answer:
Step-by-step explanation:
2( 2x + 6 ) + 2( x - 3 ) ≤ 66
3x - 3 ≤ 33
x ≤ 10
x ∈ ( - ∞ , 10]
Answer:
12
Step-by-step explanation:
that is the answer
Find the deposit required to accumulate $7700 after investing 3 years in an account that pays an APR of 5% compounded quarterly. How much is earned in interest?
Answer:
The deposit required is $6633.62 and the interest earned is $366.38
Step-by-step explanation:
Compound interest occurs when the interest earned is reinvested rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
It's given the final amount A=$7700 after t=3 years of investment in an account that pays an APR of r=5%=0.05. Since the interests compound quarterly and there are 4 quarters in a year, then n=4.
To find the principal P, we solve the previous equation for P as follows:
[tex]{\displaystyle P=A\left(1+{\frac {r}{n}}\right)^{-nt}}[/tex]
Substituting:
[tex]{\displaystyle P=7700\left(1+{\frac {0.05}{4}}\right)^{-4\cdot 3}}[/tex]
[tex]{\displaystyle P=7700\left(1+0.0125}\right)^{-12}}[/tex]
P=$6633.62
The interest earned is:
I = A - P = $7700 - $6633.62 = $366.38
The deposit required is $6633.62 and the interest earned is $366.38
Look at the long division problem shown on the right. Complete the division to determine what the remainder will be.
What is the remainder?
–10
–7
7
10
x + 4 StartLongDivisionSymbol 4 x Superscript 4 Baseline + 18 x cubed + 3 x squared minus 18 x + 15 EndLongDivisionSymbol. minus 4 x Superscript 4 Baseline + 16 x cubed to get a remainder of 0 x Superscript 4 Baseline + 2 x cubed + 3 x squared. minus 0 x Superscript 4 Baseline + 2 x cubed + 8 x squared to get a remainder of 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 18 x. minus 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 20 x to get a remainder of blank and a quotient of 4 x cubed + 2 x squared minus 5 x + c.
Answer:
The remainder is...
7
Hope this helps!!
Step-by-step explanation:
Answer: it’s c
Step-by-step explanation: