Answer:
9.7 inches
.
Step-by-step explanation:
From the table, the linear function must pass through the points (19,10.2) and (21,9.8). Use the slope formula to find the slope between these two points:
m amp;=
y2−y1
x2−x1
amp; amp;Slope formula. amp;=
9.8−10.2
21−19
amp; amp;Substitute. amp;=
−0.4
2
amp; amp;Subtract. amp;=−0.2 amp; amp;Divide.
Answer:
the linear function is y= -0.2x +14 and the height is y=9.7
Step-by-step explanation:
plz help asap I'll mark brainliest!!!
What is the area of the composite figure below
Answer:
40
Step-by-step explanation:
I dont know the area of a semi circle.
10 x 8 = 80 divided by 2 = 40
Can someone help I’m so confused
Answer: Use M A T H W A Y
6. Ria purchased a car for
$14,775. Sales tax in her
county is 6.8%.
a. What is the total price of
the car including tax?
b. If she puts $2,100 down,
how much will she be
financing?
c. What will her monthly
payment be if the term of
the loan is 72 months with
an APR of 3.5%?
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Answer:
a) $15,779.70
b) $13,679.70
c) $210.92
Step-by-step explanation:
a) When tax is added, the total cost is ...
total = price × (1 +tax rate)
total = $14,775 × 1.068 = $15,779.70
__
b) The amount financed is the difference between the total cost and the down payment.
financed = total - down35
financed = $15,779.70 -2100 = $13,679.70
__
c) The monthly payment is found using the amortization formula. It can also be found using any of a number of financial calculators, spreadsheets, or apps.
A = P(r/12)/(1 -(1 +r/12)^-n) . . . . annual rate r, n monthly payments, principal P
A = $13,679.70(0.035/12)/(1 -(1 +0.035/12)^-72) ≈ $210.92
Suppose that 13 inches of wire costs 52 cents. At the same rate, how much (in cents) will 34 inches of wire cost.
Find price per inch:
0.52 / 13 = 0.04 per inch.
Multiply cost per inch by inches:
0.04 x 34 = 1.36
It will cost $1.36 for 34 inches.
Independent Assessment 1
Directions: Simplify each expressions using the laws of exponent. Write your
answer on the blank.
1. 8°
6. (y)
2.
7.
a7b3
a6b8
- 3.
8. (2xyz
4. 32.43
9. (5)2 (3)
m10
5.
10.
mio
12
"with a solution"
Answer:
1)1
2)x3
3)x8
4)576
5)36
Step-by-step explanation:
Answer:
1. 1 2. x³ 3.x∧8 4. 576 5. 6² 6. y∧12
7. a¹b∧-5 8. 8x∧9y∧6 9. 225 10. mº=1
Step-by-step explanation:
Graphing Trigonometric Functions
Illustrations in reverce order
Explanations:
6. [tex]\displaystyle y = Atan(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{\pi}{\frac{1}{2}} \\ Amplitude \hookrightarrow N/A[/tex]
You can choose to figure the period out by looking at the distanse between each endpoint on the x-axis, or by using the formula put in plase. Just simply plug the B-term into the formula to get the period. Now, ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes, so you figure out what you want to put in the blank, but make sure it is not a numerical value. Not even ZERO can be plased there.
_______________________________________________
5. [tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{3}\pi \\ Amplitude \hookrightarrow 4[/tex]
You can choose to figure the period out by using wavelengths, or by using the formula put in plase. Just simply plug the B-term into the formula to get the period. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline.
_______________________________________________
4. [tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 3\frac{1}{2}[/tex]
Again, you can choose to figure the period out by using wavelengths, or by using the formula put in plase. Just simply plug the B-term into the formula to get the period. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midine.
_______________________________________________
3. [tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow \frac{1}{2}[/tex]
Again, you can choose to figure the period out by using wavelengths, or by using the formula put in plase. Just simply plug the B-term into the formula to get the period. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline.
_______________________________________________
2. [tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{2}} \hookrightarrow \frac{2}{4}\pi \\ Amplitude \hookrightarrow 1[/tex]
Again, you can choose to figure the period out by using wavelengths, or by using the formula put in plase. Just simply plug the B-term into the formula to get the period. Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline.
_______________________________________________
1. [tex]\displaystyle y = Atan(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{\pi} \hookrightarrow \frac{\pi}{1} \\ Amplitude \hookrightarrow N/A[/tex]
Again, you can choose to figure the period out by looking at the distanse between each endpoint on the x-axis, or by using the formula put in plase. Just simply plug the B-term into the formula to get the period.
I am delighted to assist you at any time.
*I also apologise for the sixth photograph not being present [exercise 1]. The system ALL OF A SUDDEN no longer allows me to display more than five photographs. You will have to see the graph somewhere elce.
Could someone please explain?
Square the two smallest values and then add them together. If they are greater than the square of the largest number in the set, than it is obtuse. If smaller it is acute. If it is the same it is a right triangle.
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Answer:
obtuseacuteStep-by-step explanation:
The Law of Cosines tells you the largest angle C will be found from ...
C = arccos((a² +b² -c²)/(2ab))
where c is the longest side of the triangle.
For the purpose of classifying the triangle as acute, right, or obtuse, you need only look at the sign of the argument of the arccos function. Since all side lengths are positive, this means you only need to look at the sign of the "form factor" a²+b²-c².
When f = a²+b²-c² is negative, the cosine is of an angle larger than 90°, so the triangle is obtuse. When it is 0, the angle is 90°, so a right triangle. (That condition is recognizable as related to the Pythagorean theorem.) When f > 0, the triangle is acute.
__
In the attached spreadsheet, we have done these calculations by summing the squares of all three sides, then subtracting twice the square of the longest side. (This makes the formula fairly simple.) It shows ...
Triangle 1: f < 0 — obtuse triangle
Triangle 2: f > 0 — acute triangle
_____
In summary, you can compute a form factor ...
f = a² +b² -c² . . . . . . . triangle with side lengths a, b, c with c longest
f < 0 — obtusef = 0 — rightf > 0 — acute9) Find the measurement of angle XAW. *
Answer:
50 degrees
Step-by-step explanation:
They are verticle angles
suppose you invest $5000 in a savings account paying 2.75% annual intrest. find the balance in the account after 25 years with intrest compounded the following ways
a. Annually
b. Monthly
The answer to this problem is A
round off 45682 in two significant figure
Answer:
Rounded it's 46,000
Step-by-step explanation:
Please help me will give Brain
Answer: i BELIEVE YOUR ANSWER IS
.....
B
Step-by-step explanation:
help i don't know what to do!!!!!!!!!!!
Answer:
x=⅗ or 0.6ft
y=7ft
step by step explanation
Answer:
Divide both numbers by five, apparently
I am glad i helped! Have a good day and remember to be tiger fierce!! :)
You are assigned 30 math problems for homework. You complete 24 of them before
dinner. What percent of the homework have you completed? Write AND solve a
proportion or equation to calculate the solution to the question. Show work.
Answer:
You have completed 80%.
24/80=.8, .8=80%
^^(proportion)
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
You have completed 80% of your homework questoins before you ate dinner.
Geometry review worksheet
What are the coordinates of the vertex for f(x) = x2 + 4x + 10?
(2, 2)
(2,6)
(-2, 2)
(-2, 6)
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Answer:
(d) (-2, 6)
Step-by-step explanation:
We can rewrite the function using vertex form.
f(x) = (x^2 +4x) +10
f(x) = (x^2 +4x +4) +10 -4 . . . . . . . add and subtract (4/2)^2
f(x) = (x +2)^2 +6
Compare to vertex form:
f(x) = (x -h)^2 +k
we see that (h, k) = (-2, 6) . . . . the vertex
_____
Additional comment
The value added and subtracted is the square of half the x-coefficient. Inside parentheses, that value "completes the square". Outside parentheses, that value ensures the overall function remains unchanged.
please help! literally desperate for help asap!
QTR & TRS
.....................................
Answer:
triangle TQR to triangle TRS
AS angle QRT= angle RTS
QR=TS
and their height are same
hope it helps! :)
I don't understand what I did wrong, please help
Answer:
[tex]\frac{3}{16} x^{3}-\frac{9}{4}x+6 = y[/tex]
Step-by-step explanation:
Lets start with the easiest part of this question - simply plugging in to get easier equations:
[tex]-8a+4b-2c+d=9\\[/tex]
[tex]8a+4b+2c+d=3[/tex]
Something that now immedietly pops out is that many of the terms would cancel if we added them together. We get the following results by adding the two equations together:
[tex]8b+2d = 12[/tex]
Now lets look at the other bit of inromation the question gives you -- that the two points are horizontal tangents. Taking the derivative of the standard form of a cubic, we get:
[tex]y' = 3ax^2+2bx+c[/tex]
Since the points are both horizontal tangents, y' will be equal to 0 at the points. Thus, plugging in we get:
[tex]y'(-2) = 0 = 12a-4b+c[/tex]
[tex]y'(2) = 0 = 12a+4b+c[/tex]
We again see a simple subtracting opportunity that will cancel out two terms:
[tex]-8b = 0[/tex]
[tex]b = 0[/tex]
Now going back to the equation we got by adding the two equations that we got from simply plugging our points in:
[tex]d = 6[/tex]
Now that we have b and d, we can now plug them back into our step one and derivative equations in order to get a simple system:
[tex]-8a - 2c=3[/tex]
[tex]12a+c=0[/tex]
Solving for a and c, we get:
[tex]a = \frac{3}{16}[/tex]
[tex]c = \frac{-9}{4}[/tex]
Thus, finally, our answer is:
[tex]\frac{3}{16} x^{3}-\frac{9}{4}x+6 = y[/tex]
Attached is desmos, which you can use to check.
The price of gallon of gasoline went from $3.50 to $2.87. What is the percent decrease?
Find the area of the circle.
r = 14 m
Round answer to the nearest tenths,
am
Answer:
615.8
Step-by-step explanation:
Find the degree of the monomnial.
23x4
The word degree is just another word for exponent.
23x^4 is the correct way to write the monomial.
What exponent do you see?
You see 4, right?
So, the degree is 4.
Answer:
Answer: The degree of the monomial is 4.
Step-by-step explanation:
6.5 ft 6 ft- 11 ft N 5 ft What is the surface area? A 258 square feet B 195 square feet C 228 square feet D 330 square feet
Answer:
Step-by-step explanation:
area of base = 5×11 = 55 ft²
area of triangle = ½×5×6 = 15 ft²
area of rectangular face = 6.5×11 = 71.5 ft²
surface area = 55 + 2×15 + 2×71.5 = 228 ft²
In triangle ABC below, D,E, and F are midpoints. What is the perimeter of DEF?
4in
6in
7in
34in
17in
Answer: 34
Step-by-step explanation:
D+F+E = 12+14+8=34
Answer:
17 in
Step-by-step explanation:
DE = 1/2(14) = 7
DF = 1/2(8) = 4
EF =1/2(12) = 6
7 + 4 + 6 = 17 in
1. Diego runs a 10 kilometer race and keeps track of his speed. What was diegos speed at the kilometer mark in the race?
Answer: 10 km/ hr
Step-by-step explanation:
In the graph below, Diego's speed at various points during his 10 kilometer race is shown on the y axis while the distance is shown on the x axis.
Looking at the 1km mark on the x axis, Diego's speed on the y-axis is at 10km/ hr and this was the speed he started the race with. After the kilometer mark however, his speed changed and went on to increase to 11km/ hr by the second kilometer mark.
Answer all the four q
Answer:
MATHMATICS - MTHMTCS
SEPTEMBER - SPTMBR
ANCILLARY - NCLLR
PTERODACTYL-PTRDCTL
Hopefully this helps <3
Fran thinks of a two digit number. The firs digit is 6 more than the second digit, and the number is prime. What number did fran think of
Answer: The number which Fran is thinking about is 82 or 93.
Step-by-step explanation:
A two-digit number can be written as:
a*10 + b
Where a and b are single-digit numbers.
We know that:
"the first digit is 6 more than the second digit"
then:
a = b + 6
And we know that the second digit is a prime number.
Then we can have:
b = 2
b = 3
b = 5
b = 7
Now let's try with these different options.
if b = 2, then:
a = 2 + 6 = 8
Then the number is:
8*10 + 2 = 82
If b = 3, then:
a = 3 + 6 = 9
Then the number is:
9*10 + 3 = 93
if b = 5, then:
a = 5 + 6 = 11
But a needs to be a single-digit number, then b can not be 5 or larger.
Then the only two possible numbers are:
82 and 93.
So the number which Fran is thinking about is 82 or 93.
Solve the inequality and graph its solution...
3+v≤-9
Answer:
v≤-12, and the graph is left 12
Step-by-step explanation:
Hannah is putting in a tile floor. She needs to determine the angles that should be cut in the tiles to fit the corner. The angle in the corner measures 90. One piece of the tile will have a measure of 38. Write an equation, and use it to determine the measure of the unknown angle.
Answer:
equation
180=90+38+x
where x equals missing angle
x=52
Step-by-step explanation:
Hello There!
remember the sum of the interior angles of a triangle is 180
so to find the measure of the missing angle we subtract the given angles from 180
180-90-38=52
so the measure of the missing angle is 52
the sum of the polygon is 1980 degree .what is the sum of the angles of a polygon with one side less? what about a polygon with one side more
Answer:
Sum of angles of a polygon with one side less = (12-2)x180 = 1800
Sum of angles of a polygon with one side more = (14-2)x180 = 2160
Step-by-step explanation:
(n-2)x180 = 1980
n = 13
Sum of angles of a polygon with one side less = (12-2)x180 = 1800
Sum of angles of a polygon with one side more = (14-2)x180 = 2160
Pre-image ABCD was dilated to produce image A′B′C′D′ .
What is the scale factor from the pre-image to the image?
Enter your answer in the box as a fraction in simplest form.
Two quadrilaterals labeled A B C D and A-prime, B-prime, C-prime, D-prime. Quadrilateral A B C D is larger than the other quadrilateral, which is to the right of quadrilateral A B C D. Side B C is labeled twelve, and side B-prime, C-prime is labeled nine.
Answer:
0.75
Step-by-step explanation: