Answer:
Sam would make about 13,440 per year.
His pay check would be deducted over 93% which is 12,406 spent on bills, and about $90 left to spend on whatever he wants.
The time, t in seconds that it takes a car to travel a quarter-mile when starting from a full stop can be estimated by using the formula:
(see image)
Where w = weight of the car
p = power delivered by the engine in horsepower (hp)
If the quarter-mile time for a 3,590-pound car is 13.4 s, how much power does its engine deliver? Round to the nearest pound.
Assignment:
Natasha and Daniel worked out this problem. Natasha’s answer was 295 hp and Daniel’s was 679 hp.
1. Who was right?
2. How did you determine who was right? Show each step of how each of them solved the problem.
3. Set up your Fantasy Race. Research two different cars/trucks. What is the average hp and weight of each? Based on the formula, how fast can each reach a quarter-mile? Show all the work for each.
The computation of the power shows that Natasha was right as the value gotten is 295hp.
How to calculate power?From the information given, t is given as 5.825 to the cube root of w/p.
In this case, the value of p will be:
p = w/t³(5.823)³
p = 3590(5.823)³ / (13.4)³
p = 708828.13/2406.104
p = 295hp
In conclusion, Natasha was correct.
Learn more about power on:
https://brainly.com/question/24858512
HELP ASAP!!!!!! FOR BRAINLIST!!
Answer:
x coordinate: 2
y coordinate: -3
explanation:
[tex]\sf \large\boxed{{\left \{\sf \ {{y=\frac{1}{2} x-4} \atop {y=-2x+1}} \right. }}[/tex]
solve them by combination:
[tex]\rightarrow \sf \dfrac{1}{2} x -4 = -2x+1[/tex]
[tex]\rightarrow \sf \dfrac{1}{2} x +2x= 1+4[/tex]
[tex]\rightarrow \sf 2.5x=5[/tex]
[tex]\rightarrow \sf x=2[/tex]
Find y:
[tex]\sf y = -2x + 1[/tex]
[tex]\sf y = -2(2) + 1[/tex]
[tex]\sf y = -3[/tex]
Remember, find the area of each set of faces and then add. Enter digits only.
SA = _____ yd2
Step-by-step explanation:
35 × 14 = 476
476 × 4 = 1904 yd
14 × 14 = 196
196 × 2 = 392 yd
now,
392 yd + 1904 yd = 2296 yd². ans.
hope this helps you !
Solve x(x - 2) = 4
Using quadratic formula
(Show step by step for the answer because I gotta show my work)
Answer:
x = 1 ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
x(x - 2) = 4
Multiply x on the left side by foil.
[tex]x^{2}- 2x = 4[/tex]
Subtract 4 on both sides.
[tex]x^{2} -2x-4=0[/tex]
Now, the quadratic formula.
x = (-b ± [tex]\sqrt{b^{2} - 4ac }[/tex]) / 2a
Using the standard form equation.
Ax² + Bx + C = 0
(1)x² - 2x - 4 = 0
A = 1
B = -2
C = -4
x = (-(-2) ± [tex]\sqrt{(-2)^{2}-4(1)(-4) }[/tex]) / 2(1)
x = (2 ±[tex]\sqrt{4+16}[/tex] ) / 2
x = (2±[tex]\sqrt{20}[/tex])/2
x = (2±2[tex]\sqrt{5}[/tex])/2
x = 1 ± [tex]\sqrt{5}[/tex]
Find the sum of the first 10 terms of the given sequence.-3,-15,-75,375,-1875
Answer: -7324218
Step-by-step explanation: This is a geometric series because we can see the sequence is constantly decreasing by multiples of 5.
5 is being multiplied.
Sum of geometric progression formula: [tex]S_{n}=\frac{a(1-r^{n})}{1-r} \\[/tex]
Sn = sum of n terms
a = first term in sequence
r = common ratio/multiple
n = number of terms
Therefore: [tex]S_{10}=\frac{-3(1-5^{10})}{1-5}[/tex] = -7324218
brainliest please :)
What fraction is equivalent to four tenths and has a denominator of 100?
four hundredths
ten hundredths
forty hundredths
forty tenths
Answer:
forty hundreths
Step-by-step explanation:
40/100 is equivalent to 4/10 and has a denominator of 100
(forty hundreths)
Reasoning? 40/100 is 10 times 4/10
C
\qquad m \angle AOC
m∠AOC
m, angle, A, O, C
is a straight angle.
m
∠
A
O
B
=
8
x
+
5
1
∘
\qquad m \angle AOB = 8x + 51^\circ
m∠AOB=8x+51
∘
m, angle, A, O, B, equals, 8, x, plus, 51, degrees
m
∠
B
O
C
=
6
x
−
2
5
∘
\qquad m \angle BOC = 6x - 25^\circ
m∠BOC=6x−25
∘
m, angle, B, O, C, equals, 6, x, minus, 25, degrees
Find
m
∠
A
O
B
m\angle AOB
m∠AOB
m, angle, A, O, B
:
Answer:
m∠AOB=139°Step-by-step explanation:
m∠AOB+m∠BOC=180°
m∠AOB=8x+51°
m∠BOC=6x-25°
~
[tex]\tt 8x+51+6x-25=180[/tex]
[tex]\tt 14x+26=180[/tex]
[tex]\tt 14x=180-26[/tex]
[tex]\tt \cfrac{14x}{14} =\cfrac{154}{14}[/tex]
[tex]\tt x=11[/tex]
m∠AOB:-
[tex]\tt 8(11)+51[/tex]
[tex]\tt =88+51[/tex]
[tex]\tt =139^{o}[/tex]
Therefore, m∠AOB=139°
translate each verbal phrase into algebraic expression.
1. twice the difference between 6 times h and 3 gives 30.
2.sum of 5 times z and 4 divided by two is 7.
3.twenty-two minus the product of 7 and y yields 1.
4.quotient of 8 lowered by 2 times t and 3 is two.
5.three-fourths of x added to twice of x gives 11.
6.5 times together of 6 and 4 multiplied by g is equivalent to 50.
7.altogether of 9 and two-thirds of k alike 13.
8.7 raised by thrice of c dropped by factor of five is 2.
9.8 divides total of 3 times f and six equals 3.
10.volume of 8 and the product of 5 and q increased by 6 yields 88.
I really need it. :) thanks
Answer:
Step-by-step explanation:
[tex]1.\ 2(6h - 3) = 30[/tex]
[tex]2.\ \frac{5z+4}{2}=7[/tex]
[tex]3.\ 22 - 7y = 1[/tex]
[tex]4.\ \frac{8-2t}{3} =2[/tex]
[tex]5.\ \frac{3}{4}x +2x=11[/tex]
[tex]6.\ 5(6 + 4g) =50[/tex]
[tex]7. \ 9+\frac{2}{3}k=13[/tex]
[tex]8.\ \frac{7+3c}{5}=2[/tex]
[tex]9.\ \frac{3f+6}{8}=3[/tex]
[tex]10.\ 8(5q + 6)=88[/tex]
Hope this helps!
On Monday, you deposited $20 into your bank
account. On Tuesday, you withdrew $12. If you
currently have $74, how much did you have on
Monday to begin with?
An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. The yard has 3 sprinkler heads that each cover a circular area with no overlap. What is the approximate total area that will be watered? 1963. 5 ft 1963. 5 ft² 5890. 5 ft 5890. 5 ft².
Answer:
Option D. 5890.5 feet²
Step-by-step explanation:
An individual head of a sprinkler system covers a circular are of grass with a radius of 25 feet.
Yard has three sprinkler heads that each cover circular area with no overlap.
We have to calculate the approximate area watered by these 3 sprinkler heads.
Area covered by one sprinkler = π×r² = π×(25)² = 625π feet²
Therefore area covered by three sprinkler heads = 3 × 625π = 5892.85 feet²
which matches the approximate value of Option D. 5890.5 feet²
Help if you understand please and thanks
Answer:
[tex]\displaystyle 6[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 + 9}{-1 + 2} = m; \boxed{6 = m}[/tex]
I am joyous to assist you at any time.
Grace has a segment with endpoints C (3, 4) and D (11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. She knows the distance between the x coordinates is 8 units. Which of the following fractions will let her find the x coordinate for point E?
The value of x coordinate for point E is,
⇒ x = 6
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
Grace has a segment with endpoints C (3, 4) and D (11, 3)
And, It is divided by a point E such that CE and DE form a 3:5 ratio.
Hence, We get;
The coordinates of E is,
E = [ ( 3× 11 + 5 × 3)/(3 + 5) , (3×3 + 5 × 4)/(3 + 5) ]
= [ (33 + 15)/8 , (9 + 20)/8 ]
= *(48/8 , 29/8)
= (6 , 3.625)
Thus, The value of x coordinate for point E is,
⇒ x = 6
Learn more about the coordinate visit:
https://brainly.com/question/24394007
#SPJ7
One bushel of apples weighs about 40 pounds. About how many bushels of apples would weigh 1 ton?
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
1 ton = 2000 pounds
2000÷40=50
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
1st and 6th option, 35 adult tickets
Step-by-step explanation:
So we know adult tickets are x and children tickets are y.
The total number of tickets is 57, so
x + y = 57
The adult tickets are worth 6 and the children's tickets are worth 2.50.
The total cost is 265.
6x + 2.5y = 265
Now, the system of equations.
6x + 2.5y = 265
-6x - 6y = -342
-3.5y = -77
y = -77/-3.5
y = 22
Plugging y back in
x + 22 = 57
x = 35 adult tickets sold
* $265 worth of tickets were sold
* Adult tickets cost $6
* Child tickets cost $2.50
* 57 tickets were sold
To Find ↷Let x represents the number of adult tickets sold and y as the number of child ticket sold
Which squations equation represents the scenerio? select 2 options
Answer ↷x ⇢No. of adult tickets soldy⇢No. of child ticket soldso ,the equations would be
⤿ x + y = 57 ✓
⤿ 6x + 2.5y = 265 ✓
Solution↷x + y = 57.....(1)
6x + 2.5y = 265.....(2)
Multiplying equation 1st by 6
we get,
6x + 6y = 342 ...(3)
subtracting equation (3) by equation (2)
we get,
6x + 6y = 342
-6x + 2.5y= 265
_____________
ㅤㅤ 3.5y =
ㅤㅤ y = 77/3.5
ㅤㅤ y = 22
_______________
y = 22x = 57-22 = 35______________________________
A child ticket⇢ $ 2.5 x 22= $ 55An adult ticket⇢ $ 6 x 35 = $ 210_______________________________
Total cost ⇢ $55 +210 = 265_______________________________
Please help I will give brainliest.
Answer:
5b+3n=30
Step-by-step explanation:
trust me
Solve x2 - 8x = 3 by completing the square. Which is the solution set of the equation?
O {4 - V19, 4 + V19}
O {4 - V11, 4 + V11}
O {4 - V8,4 + V8}
O {4 - V3, 4 + V3}
Answer:
first option
Step-by-step explanation:
x² - 8x = 3
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 3 + 16
(x - 4)² = 19 ( take square root of both sides )
x - 4 = ± [tex]\sqrt{19}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{19}[/tex]
then
x = 4 - [tex]\sqrt{19}[/tex] , x = 4 + [tex]\sqrt{19}[/tex]
If L = 7 inches, W = 5 inches, and H = 3 inches, what is the volume of the rectangular prism?
A.112 in 3
B.105 in 3
C. 142 in3
D. 71 in
Answer
B.105 in 3
Step-by-step explanation:
7 x 5 x 3 = 105
pls help due soon in about 4 min.
Answer:
2 gallons
Step-by-step explanation:
4 quarts = 1 gallon
2 pints in a quart
2 cups in a pint
8 ounces in a cup
1/2 gal of orange juice
1/4 gal of milk
1 gal of chocolate milk
1/4 of lemonade
so in total you get 2 gallons! :)
Mary brought chocolate and vanilla cupcakes to school for her birthday. 20 students decided to take a cupcake, and 10% of them picked vanilla. How many people picked a vanilla cupcake?
Answer:
2
Step-by-step explanation:
To find the number corresponding to a percentage, multiply the base value by the percentage.
10% of 20 = 0.10 ×20 = 2
2 people picked vanilla cupcakes.
Which expressions are equivalent [tex]\frac{1}{36}[/tex]
Answer:
6^-2
Step-by-step explanation:
To answer this, you need to know one basic law of indices:
x^-n = 1/x^n
So here 1/36 is the same as 36^-1.
Then we can simply sqr root 36 to give (6^2)^-1.
When two powers are one in and one out of the brackets, they multiply each other. So here it would be 2*-1, which would give -2.
So the answer is 6^-2.
Write an example of a binomial with a degree of 3
Answer:
5x^3 + 7
Step-by-step explanation:
So basically a binomial is when there are 2 terms
To a certain degree (it's 3 in this case) is when the variable is to that power.
For example: [tex]5x^{3} + 7[/tex]
Solve using log. I have no idea how to use log so please explain how to use it.
Answer:
11.776
Step-by -step explanation:
Here we are given a equation which is ,
[tex]\rm\longrightarrow 10^{x-10}-8=51.7 [/tex]
And we would like to solve this using logarithms , so firstly add 8 on both sides , we get ;
[tex]\rm\longrightarrow 10^{x-10}= 51.7+8 [/tex]
Simplify,
[tex]\rm\longrightarrow 10^{x-10}= 59.7 [/tex]
Now take log to the base 10 on both sides ,
[tex]\rm\longrightarrow log_{10}10^{x-10}=log_{10}(59.7) [/tex]
Recall that [tex]log\ m^n = n\ log m [/tex] .So ;
[tex]\rm\longrightarrow (x-10)(log_{10}10=log_{10}(59.7) [/tex]
Again recall that [tex] log_a a = 1[/tex] .So ; here [tex]log_{10}10[/tex] becomes 1 .
[tex]\rm\longrightarrow (x -10)1 = log_{10}59.7 \\ [/tex]
[tex]\rm\longrightarrow (x-10)= log_{10}(59.7)[/tex]
And the value of log 59.7 = 1.7759 . So on substituting this value , we have ;
[tex]\rm\longrightarrow x -10 = 1.7759 [/tex]
Add 10 to both sides ;
[tex]\rm\longrightarrow x = 10+1.7759 [/tex]
Simplify,
[tex]\rm\longrightarrow \underline{\underline{\red{\rm { x = 11.7759 \approx 11.776}}}}[/tex]
And we are done !
[tex]\rule{200}4[/tex]
[tex]\large\red{\bigstar}\underline{\underline{\textsf{\textbf{ Some related formulae :- }}}}[/tex]
[tex]\boxed{\boxed{\begin{minipage}{5cm}\displaystyle\circ\sf\ ^{a} log \ a= 1\\\\\circ \ ^{a}log \ 1 = 0 \\\\\circ \ ^{a ^{n}} log \ b^{m}= \dfrac{m}{n} \times\:^{a}log \ b \\\\\circ \ ^{a^{m}} \ log \ b^{m} = \ ^{a}log \ b \\\\\circ \ ^{a}log \ b = \dfrac{1}{^{b}log \ a} \\\\\circ \ ^{a}log \ b = \dfrac{^{m}log \ b}{^{m} log \ a} \\\\\circ \ a^{^{a} logb} = b \\\\\circ \ ^{a}log \ b + ^{a}log \ c = \ ^{a}log(bc) \\\\\circ \ ^{a}log \ b -\: ^{a}log \ c = \ ^{a}log \left( \dfrac{b}{c} \right) \\\circ \ ^{a}log \ b \:\cdot\: ^{a}log \ c = \ ^{a}log \ c \\\\\circ \ ^{a}log \left( \dfrac{b}{c} \right) = \ ^{a}log \left(\dfrac{c}{b}\right)\end{minipage}}} [/tex]
4. What is the value of a in the following equation: 6a = 54?
b. 7
C. 12
d. 8
a. 9
Answer:
9
Step-by-step explanation:
6a=54
a=54/6
a=9
Debra had 324 baseball cards. She got 439 more cards. How many cards does she have now?
Answer:763
Step-by-step explanation:
you add both numbers
How many games altogether will four teams play if every team plays each other twice?
Answer : 8
Explanation : 4 × 2 = 8
◊ YusuCr ◊
Answer:
8
Step-by-step explanation: if your times it by two it would be 4x2 = 8 :)
Does death open the eyes of anyone in The Outsiders? Explain in at least 5 sentences.
Answer:
Yes, death opened the eyes of Ponyboy from the book 'The Outsiders' by S.E Hinton. The death of Johnny makes Ponyboy realize that death can happen to anyone at any time, and that he needs to live life while he can. When Johnny talks to Ponyboy at the hospital about how disappointed he was that he didn't have enough time to see everything he wanted to see, Ponyboy realizes he needs to live life to the fullest. Likewise, when Dally is shot by the police officers, Ponyboy realizes how precious and fragile life is. He feels sad about how Dally died, and how tragic it was. This is how death opened the eyes of Ponyboy in the book, The Outsiders by S.E. Hinton.
Find the value of sin T rounded to the nearest hundredth, if necessary.
Answer:
Step-by-step explanation:
Anyone know? I don’t really get it..
Answer:
D is the correct ans
Step-by-step explanation:
Because
write each number in scientific notation 1) 660000 2) 0.00365 3)0.009 4) 810
Answer:
1) 6.6 × 10^5 2) 3.65 × 10^-3 3) 9 × 10^-3 4) 8.1 × 10^2
Step-by-step explanation:
I think that's what it is.
Ok my question i cant do it write a word problem that you can solve by multiplying a mixed number by a whole number inclued a soulution PPPPPPLS hEEEEEEEEEELP
Answer:
1 and 1/2 multiplied by 2
1 and 1/2 doubled
Answer=3
Since 1 and 1/2 are equal to 1.5, you can add 1.5 to 1.5 to successfully multiply it, getting 3.
Step-by-step explanation: