Answer:
Step-by-step explanation:
1. C(10)=35 is the percentage of homes using only cell phone service 10 years after 2004, that is, after 2014.
2. C(x) = 10 is the percentage of homes using only cell phone service x years after 2004. We must find x.
3. how is C(10) different from C(x) = 10?
In C(10), 10 measures time in years and is the independent variable here; C10) is the dependent variable. See (2), above. In C(x), x is the (unknown) independent variable, whereas 10 is the output vaue, the dependent variable.
Find the equation of straight line passing through the point:
a) (4,8) and parallel to the line 3x+y=17
b) (2,3) and perpendicular to the line y=2x+13
I need the answers ASAP please!
Answer:
See solution below
Step-by-step explanation:
Standard equation of a line in point slope form is expressed as y-y0 = m(x-x0)
m is the slope
c is the intercept
Fr the equation 3x+y = 17
y = -3x+17
m = -3
Given the point (4,8)
The equation of the line is expressed as;
y - 8 = -3(x-4)
y - 8 = -3x + 12
y + 3x = 12+8
y+3x = 20
This gives the required equation
For the equation y = 2x + 13
Slope m = 2
Since the line is perpendicular to the unknown line;
M = -1/2
Given the point (2, 3)
Get the equation
y - 3 = -1/2(x - 2)
2(y-3) = -(x - 2)
2y-6 = -x+2
2y+x = 2 + 6
2y+x = 8
This gives the required equation
barbra has two cherry pies.She cuts each pie into quarters.How many slices of cherry pie does barbra have
Ok so you have 2 pies.
You can cut into quarters which is 4 slices in 1 pie.
Than you can do 4 slices x 2 pies which means you have 8
.7 pls :P need this so I don’t fail math
Answer:
B
Step-by-step explanation:
distribute 1/2 into 2x and 4, if both sides match then its infinitely many solutions !
The height of a football y in feet is given
by the function y=-16x² + 56x+ 2
where x is the time in seconds after the
ball was kicked. This function is
graphed below. How long was the
football in the air?
(Show work please if possible.)
????????????????????????
Answer:
3 c 3 3 3 33 3 the 3 one
Step-by-step explanation:
A restaurant is making table cloths for their four round tables. Each table is a circle with a radius of 2 ft. Each table cloth needs to be 20% larger than the table surface.
How many whole table cloths can the restaurant get out of a piece of fabric with an area of 64 ft²?
Please help!!
Answer:
4
Step-by-step explanation:
Since it gives us the amount of area of material to use we know we want to find how many times we can divide it into tablecloths. So now we need to find how much each tablecloth is.
so first it tells us that each table has a radius of 2 ft, so we find the area using that. area of a circle is [tex]\pi r^2[/tex] so plugging in 2 ft we get 4π square feet or 12.56.
It also says that each tablecloth needs to be 20% bigger, so we find what 20% larger than 4π is. to do this you do 4pi*1.2 = 4.8π = 15.072 square feet.
Now, how many tablecloths with areas of 15.072 square feet can be made from 64 square feet. Hopefully it's obvious you divide. so 64/15.072 = 4.25
Since we want whole tablecloths and that .25 is a remainder, 4 whole tablecloths can be made.
what is the solution to the system of equations? please help im struggling really bad ):
Answer:
[tex] - 11 \frac{1}{2} [/tex]
Step-by-step explanation:
8x + 5y = 7
4x - 5y = 11
If you all it all up we have
8x + 4x +5y - 5y = 18
12x=18
x=18/12=1.5=3/2 = 1 whole number 1 over 2(1 1/2)
subtituting the value of x into equation 1(8x + 5y = 7)
8(1.5) + 5y = 7
5y=7-12
5y = -5
y=-5/5
y= -1
Find the area of the figure. (Sides meet at right angles.)
Answer: 37ft^2
Step-by-step explanation:
Create two separate figures. A full square 3x3 and a rectangle 7x4.
The 7ft line on the right minus 3 ft (because we are cutting out that section of the figure) = 4ft
Area of 3x3 square = 3^2 = 9ft^2
Area of 7x4 rectangle = 7x4 = 28ft^2
28+9= 37ft^2
3. The trapezoid below contains a square and two right triangles. Find the perimeter of the trapezoid.
Answer:
Perimeter of trapezoid = 25.66 cm
Step-by-step explanation:
Trapezoid ABCD contains two triangles ΔABF, ΔCDE and a square with side length 4 cm.
By applying Pythagoras theorem in ΔABF,
AB² = BF² + AF²
AB² = 4² + 3²
AB = [tex]\sqrt{16+9}[/tex]
AB = 5 cm
Similarly, By applying Pythagoras theorem in ΔCDE,
CD² = DE² + CE²
CD² = 4² + 4²
CD = [tex]\sqrt{32}[/tex]
CD =5.66 cm
Perimeter of the given trapezoid = AB + BC + CD + AD
= 5 + 4 + 5.66 + (3 + 4 + 4)
= 25.66 cm
between which two consecutive integers
[tex] \sqrt{72} [/tex]
lies
Answer:
8 and 9
Step-by-step explanation:
Find the 2 perfect square either side of 72 , that is
64 < 72 < 81 , then
[tex]\sqrt{64}[/tex] < [tex]\sqrt{72}[/tex] < [tex]\sqrt{81}[/tex]
8 < [tex]\sqrt{72}[/tex] < 9
Find the value of x. Round to the nearest degree as needed.
9514 1404 393
Answer:
x° = 29°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relevant trig relationships. Here, you have the hypotenuse and the side opposite the unknown angle. So, the appropriate relation is ...
Sin = Opposite/Hypotenuse
sin(x°) = 12/25
x° = arcsin(12/25) ≈ 28.69°
The value of x is about 29.
Be
1. (7.5A) Triangle ADE is similar to triangle ABG.
Which of the following statements must be true?
A. The measure of angle AGB is greater than the measure of angle ADE.
B. The measure of angle AGB is greater than the measure of angle AED.
C. Segment AE and Segment AB have the same length.
D. The ratio of AG to AE is the same as the ratio of AB to AD.
Answer:
D
Step-by-step explanation:
....iam not sure but i think its a because the other impossible
Answer:
The answer is D.
Step-by-step explanation:
For A- I don't think it's greater, I think they are the same.
For B- I don't think it's greater, I think they are the same.
For C- Segment AE is longer than Segment AB.
So D seems like the more logical answer.
which of these fractions below are equivalent to 3/4?
Please? Help
Answer:
12/16, 6/8, 15/20, 24/32
Step-by-step explanation:
Because to find the equivalents, you have to multiply/ divide the numerator and the denominator with the same number.
what is 323 dived by 48?
a
The expression ax²+bx+c is divisible by x-1, has a
remainder of 2 when divided by x+1 and has a remainder of 8 and when divided by x-2 find the values of a, b, and c and
factorise completely.
Answer:
(x - 1)(3x + 2)
Step-by-step explanation:
By the Remainder theorem
Given expression is divisible by x - 1 then f(1) = 0
when divided by (x + 1) then f(- 1) = 2
when divided by x - 2 then f(2) = 8
Substitute x = 1, x = - 1, x = 2 into the expression , that is
a + b + c = 0 → (1)
a - b + c = 2 → (2)
4a + 2b + c = 8 → (3)
Subtract (1) from (2) to eliminate a and c
- 2b = 2 ( divide both sides by - 2 )
b = - 1
Subtract (1) from (3) to eliminate c
3a + b = 8 ← substitute b = - 1
3a - 1 = 8 ( add 1 to both sides )
3a = 9 ( divide both sides by 3 )
a = 3
Substitute a = 3, b = - 1 into (1) and evaluate for c
3 - 1 + c = 0
2 + c = 0 ( subtract 2 from both sides )
c = - 2
Then a = 3, b = - 1, c = - 2
Thus
ax² + bx + c
= 3x² - x - 2
= (x - 1)(3x + 2) ← in factored form
Write an equivalent expression to 3+2(5x)-7
Answer:
-2(2-5x)
Step-by-step explanation:
3+2×(5x)-7
Calculate the difference
-4+2×(5x)
Factor out -2 from the expression
-2(2-5x)
Thats the answer: -2(2-5x)
Hope this helps
URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!
Answer:
72 Sq m
Step-by-step explanation:
Area of trapezoid
[tex] = \frac{1}{2} (16.5 + 7.5) 6 \\ \\ = 24 \times 3 \\ \\ = 72 \: {m}^{2} [/tex]
Answer:
area of isosceles trapezoid = 72 m square
10 cm 8 cm 14 cm 7 cm 6 cm 15 cm What is the total area of the figure ?
A 373cm2
B 338cm2
C 303cm2
D 268cm2
Answer:
please include an image for the question
i need to find out what x equals
Solve x-3 = 8
x =
15% tip on a $38 bill
(A/N If you don't know please don't answer. I need this for extra credit)
The Image below is the question
Question 1 options:
112°
158°
136°
68°
Answer:
A. 112°Step-by-step explanation:
Angles QPS and QRS are supplementary as opposite angles of a cyclic quadrilateral.
Supplementary angles sum to 180°.
m∠QPS = 180° - m∠QRSm∠QPS = 180° - 68°m∠QPS = 112°Correct choice is A
I need help with this ASAP
Answer:
Its 0 because thats the only value not bigger than 4
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Any value to the left of 4 is a solution to x < 4
The only value on the list that is left of 4 is 0 → B
A table showing pairs of r- and yvalues is shown below.
х
у
0 0.5
1 1.5
2. 4.5
3 13.5
4 40.5
Which equation describes the relationship between the pairs of r- and y-values?
Answer:
4
Step-by-step explanation:
What’s the volume of the rectangular prism
Answer:
24cm3
Step-by-step explanation:
9/10 times 8/9 enter the product in simplest form
Answer:
4/5
Step-by-step explanation:
PLEASE HELP ILL GIVE YOU BRAINLIST !!! I DONT UNDERSTAND THIS
Answer:c=2 √1129 or c=−2 √1129
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
c^2=4516
Step 2: Take square root.
c=±√4516
c=2√1129 or c=−2√1129
Amelia usually runs 3/4 of a mile each day. If today
she only ran 1/3 of her usual distance, how far has
she run?
Give your answer as a fraction of a mile in its
simplest form.
Answer: 1/4 of a mile
Step-by-step explanation: 1/3 × 3/4
What is the measure of < c in quadrilateral ABCD?
Answer:
the sum of interior angles of a quadrilateral = 360 degree
Step-by-step explanation:
therefore,
let the angle C be X
124 + 96 + 94 + X = 360
314 + X = 360°
X = 360 - 314 = 46°
angle C = 46°
Answer:
46 degrees
Step-by-step explanation:
i really need help with this!!! someone help please
Answer:
156 in squared
Step-by-step explanation:
So the formulas will be stated below
Parallelogram Area= 1/2h(b1+b2)
Square Area= Bh
So first do
(4)(12+6)
(4)(18)
No need to half it bc there's the same shape at the bottom
72+18+30+36
6(3)
3x5(2)
12(3)
To whom shall answer...
BY THE POWER INVESTED IN ME!! I SHALL.. MARK THE BRAINLIEST!!!
Answer:
Step-by-step explanation:
2.8 x 10^3
Answer:
2.8x×10³
Step-by-step explanation: