Answer:
Step-by-step explanation:
Based on the symbols the two triangles there are the equal
Because its two base angles are equal
therefore sum of angle in a triangle is equal to 180°
62°+70°+∠c=180
∴∠c=180-70+62
∠c=180-132
∠c=48
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
20, 10, 5, ...
Answer:
geometric, with a common ratio of 1/2
Step-by-step explanation:
The sequence is geometric because you get successive trems by multiplying the previous term by a certain constant, the 'common ratio'. (If you got each successive term by adding or subtracting the same constant number each time, that would be an arithmetic sequence.)
In this case, it looks like you get each successive term when you multiply the previous term by 1/2.
Thus, the common ratio is 1/2.
A gas station sells 1600 gallons of gasoline per hour if it charges $ 2.70 per gallon but only 900 gallons per hour if it charges $ 2.95
per gallon. Assuming a linear model
(a) How many gallons would be sold per hour of the price is $ 2.90 per gallon?
Answer:
(b) What must the gasoline price be in order to sell 1300 gallons per hour?
Answer:
Answer:
Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).
Slope m=%281600-800%29%2F%280.15-0.55%29
m=800%2F0.40
m=2000
Using point-slope form for a line, and the lower-y point,
y-800=2000%28x-2.55%29
highlight%28y=2000%28x-2.55%29%2B800%29
X^3+9X^2–25X–33=0
Find The root of X??
Answer:
x=-11, -1, and 3
Step-by-step explanation:
x^3+9x^2-25x-33=0
There are formulas to solve cubics, but that probably is not the way you are expected to go. Here is a trial and error approach that works in this case.
Assume that the cubic can be factored and that the roots are r1, r2, and r3. Then the factored form is
(x-r1)(x-r2)(x-r3)=0
This shows that the constant must equal the product of the roots.
(r1)(r2)(r3)=-33
One possibility is that the roots are integers. In this case, a factor of 33 might work. Prime factorization of 33 gives 3 and 11. Try 3. Then (x-3) is a factor.
Divide the cubic by (x-3). It works. the result is
x^2+12x+11
This has factors of (x+11) and (x+1). Therefore, the roots are 3, -1, and -11
Rachel needs to buy at least 72 juice boxes for a community picnic. At the store, juice boxes are sold in packs of 3 juice box each. How many packs of juice boxes does Rachel need to buy?
Answer:
24
Step-by-step explanation:
Answer:
3x = 72
x = 24
3(24) = 72
24 boxes of juice need to be bought.
hope this helped yw
Need help thank you:)
Answer:
[tex]F = 1.8C + 32[/tex]
Step-by-step explanation:
Given
The attached table
Required
The relationship between both temperatures
This implies that we calculate the table equation
First, we calculate the slope (m)
[tex]m = \frac{F_2 - F_1}{C_2 - C_1}[/tex]
Where:
[tex](C_1,F_1) = (0,32)[/tex]
[tex](C_2,F_2) = (20,68)[/tex]
So, we have:
[tex]m = \frac{68 - 32}{20 - 0}[/tex]
[tex]m = \frac{36}{20}[/tex]
[tex]m = 1.8[/tex]
The equation is then calculated using:
[tex]F = m(C - C_1) + F_1[/tex]
This gives:
[tex]F = 1.8(C - 0) + 32[/tex]
[tex]F = 1.8(C ) + 32[/tex]
[tex]F = 1.8C + 32[/tex]
-4x = 7y + 13
Find the slope of the line
Answer:
-4/7
Step-by-step explanation:
The first step of this problem would be changing the format of the equation so that it fits into slope-intercept form.
-4x = 7y + 13
-4x -7y = 13 (subtract 7y from both sides)
-7y = 4x + 13 (add 4x to both sides)
7y = -4x -13 (divide both sides by -1)
y = -4/7x - 13/7 (divide both sides by 7)
Now that it is in slope-intercept form, finding the slope is simple as long as you know what to look for.
Remember that y is simply a variable, just because it is at the beginning of the equation does not mean -4/7x - 13/7 is the answer. The question is asking specifically for the slope of the line. Slope in this equation is m. If y = mx + b, then m = -4/7.
The slope of the line is -4/7.
This is midpoints geometry I need help soon.
Answer:
x=4.5
Step-by-step explanation:
PR=28
PQ= 2x+5
Require
Find X
Find the value of y
95
15
19
85
Answer:
im only doing this bc im forced to
Answer:
19
Step-by-step explanation:
180-85 = 5y
5y = 95
y = 19
Imagine you are hanging two identical picture frames. Each frame is 28 inches wide and the wall you are hanging them on is 10 feet wide. There needs to be 8 inches of space in between the two frames. How far do the frames need to be from the left and right side of the walls in order to be centered?
Answer:
28 inchesStep-by-step explanation:
Sum of the width of the two frames and a gap between them:
28*2 + 8 = 64 inThe gaps from the left and right are equal to x:
x = (10 feet - 64 in)/2 = (120 in - 64 in)/2 = 28 inPlease help and quick
4 and 2 because she is the acrooss line
how do you simplify 4 ^2 × 4^5
Answer:
4^7
Step-by-step explanation:
4^2 + 4^5
=> 4^ 2+5
=> 4^7
Answer:
Step-by-step explanation:
State the solutions for the quadratic equation graphed below.
John is a computer salesman. He makes 8% commission on all sales. If John’s sales for the week are $24,300, how much did he earn in commission?
He made $1 944 in commission
what the reciprocal of 7/9 the reciprocal of 9
Answer:
tge reciprocal of 7/9 is 9/7 while the reciprocal of 9 is 1/9
In order to find the reciprocal of a number, we should just flop it over.
If we have a fraction, and we're asked to find its reciprocal, we should just flop it over.
Please consult the formula for more details:-
[tex]\sf{The~reciprocal~of~a~is~\frac{1}{a}} \\The~reciprocal~of~\frac{a}{b} ~is~\frac{b}{a} }}[/tex]
According to the formula,
[tex]\sf{The~reciprocal~of~\frac{7}{9} ~is~\frac{9}{7} }\\The~reciprocal~of~9~is~\frac{1}{9} }}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
The area of a rectangular rug is 15 feet squared. If the width of the rug is 3 feet, what is the length of the rug.
Answer:
5
Step-by-step explanation:
if the area is 15 you would divide 15 by 3 and you'll get the length of 5
Answer:
5 feet
Step-by-step explanation:
Maya took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $1.90 plus $4.50 per mile. The total fare was $24.40, not including the tip.
Write and solve an equation which can be used to determine m, the number of miles
in the taxi ride.
Solve the equation -10(d+1)=-14 I ready, please help ASAP!!
Answer:
d = 0.4
Step-by-step explanation:
-10 (d + 1) = - 14
=> -10d - 10 = -14
=> -10d = -14 + 10
=> -10d = -4
=> 10d = 4
=> d = 4 / 10
=> d = 0.4
Hope it helps :)
Please mark my answer as the brainliest
What will be the area of this parallelogram?
Include the appropriate unit in your answer.
Answer:
13.75 square feet
Step-by-step explanation:
all you have to do to find the area of a parallelogram is base * height
= 2.5 * 5.5
= 13.75 square feet
Answer:
13.75 ft^2
Step-by-step explanation:
I) Substitute equation to find the area
a = hb (area = height x base)
a = 2.5(5.5)
II) Solve:
a = 2.5(5.5)
a = 13.75
The area is 13.75 ft^2.
(6x-3)(4x-1) standard form
Answer:
6x+3
Step-by-step explanation:
24x-6x-12x+3
6x+3
Henry has 96 marbles. he is packing containers with 8 marbles in each container. how many containers, c, does Henry need to pack all the marbles?
The ratio of math teachers to choir teachers is 3:2 respectively. There are 12 math teachers. How many math and choir teachers are there all together?
Answer:
Hi liddywiddy, sorry you had to wait so long
There are 20 teachers in all
Step-by-step explanation:
the ratio 3:2 is now 12:x
12 / 3 = 4
so the multiplier is 4
now:
4x2 = 8
Next we add them: 12+ 8 = 20
Answer:
20 teachers in all
Step-by-step explanation:
12 / 3 = 4,
4 * 2 = 8,
so 12 + 8 = 20
Six Pepperidge Farm bagels were weighed, yielding the following data (grams):
117.6
109.5
111.6
109.2
119.1
110.8
(Note: 4 ounces = 113.4 grams)
a. Assuming that the six bagels are a random sample and the weight is normally distributed, estimate the true average weight and standard deviation of the weight using maximum likelihood.
b. Again assuming a normal distribution, estimate the weight below which 95% of all bagels will have their weights. (Hint: What is the 95th percentile in terms of μ and σ? Now use the invariance principle.)
Answer:
A) Average weight = 112.97
standard deviation = 3.913
B) 119.4069
Step-by-step explanation:
A) Estimate the true average weight and standard deviation of the weight
attached below is a detailed solution
Average weight = 112.97
standard deviation = 3.913
B) Assuming a normal distribution Estimate the weight below
attached below is a detailed solution
= 119.4069
I need help please.
Answer I think D, I would never choose b :
Step-by-step explanation:
solve the systems of equations y=2x and y=-x - 6
Answer:
y = -4
x = -2
Step-by-step explanation:
Hi there...
y = 2x
y = -x - 6
Since why is equal to 2x, we can plug it in for y in the second equation. Here's what I mean...
2x = -x - 6
add x on both sides...
3x = -6
divide by 3 on both sides...
x = -2
Now, plug in x for y. Here's what I mean...
y = 2x
y = 2 (-2)
y = -4
Hope this helps :)
Which statement correctly identifies a point on the graph of f–1(x)?
Answer:
Step-by-step explanation:
I didn’t see any choices but an inverse function switches the x and y values.
For every (x,y) of f(x) the inverse function will have (y,x) of f^-1(x)
Answer:
The point (4, –7) is on the graph of f(x), so the point (7, –4) will be on the graph of f–1(x). (quick answer A)
Step-by-step explanation:
A math student has a plan to solve the following system by the elimination method. To eliminate the x-terms, he wants to multiply the top equation by 7. What
should he multiply the second equation by so that when he adds the equations, the x-terms are eliminated?
-3x-7--56
-7x+10y - 1
Answer:
-3
Step-by-step explanation:
7(-3x-7y-56)
-21x-49y-392
-3(-7x+10y-1)
21x-30y+3
because the eq. multiplied by 7 is negative, the second eq mus be positive in order to eliminate the x variable. this is why we multiply by a (-). by multiplying the second eq by 3, both eq. will result in a coefficient of 21. one positive one negative allowing the x variable to be eliminated from the problem.
Any one know the answer for these two it’s OK if you can only do one
Answer:
3) 10
4) 12
Step-by-step explanation:
It’s the Pythagorean Theorem.
3) 6²+8²=c²
36+64=c²
100=c²
√100=c
c=10
4) 7.2²+9.6²=c²
51.84+92.16=c²
144=c²
√144=c
c=12
Answer:
c = 10km
Step-by-step explanation:
This is for #3.
Pythagoream Theoreom formula: a^2 + b^2 = c^2
Plug in the numbers into the formula and simplify.
8^2 + 6^2 = c^2
64 + 36 = c^2
100 = c^2
√100 = 10
c = 10km
Hope this helps!:)
Three rides at the Fun Park cost $10.50. How
many rides can you get on with $38.50?
Answer:
With $38.50 you can get on 11 rides.
Step-by-step explanation:
10.50 ÷ 3 = 3.50 per ride.
38.50 ÷ 3.50 = 11 rides.
What is the slope of X= -15
Answer:
Step-by-step explanation:
Since x = -15 is a vertical line, their is no y- intercept and the slope is undefined
the distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter reprecents 20 kilometers. what is the actual distance between these two cities in kilometers?
Answer:
70 kilometers
Step-by-step explanation:
Set up a proportion where x is the actual distance
[tex]\frac{1}{20}[/tex] = [tex]\frac{3.5}{x}[/tex]
Cross multiply:
x = (20)(3.5)
x = 70
So, the actual distance is 70 km