Answer:
The formula to calculate the final cost of Sally's new car:
C = 35000 x (1 + 4.5/100)^6 = 45579.1 dollar
Hope this helps!
:)
Lyana is painting her bedroom. Her room is 12’ x 18’. The ceilings are 8 feet high. She will need to put two coats of paint on. How many cans of paint will she need if the square footage of one can is 400 square feet?
Answer:
2 cans to cover the room but she will have a lot of paint left over
Step-by-step explanation:
12*18=216
the area of her room is 216 square ft.
216*2=432
she will need 2 cans
Answer:
Lyana will need 4 cans of paint to paint her whole room or only 3 if she doesn't paint the floor.
Step-by-step explanation:
Firstly we need to know how much paint she will need to use.
The area of her room is given by 2(ac+bc), where a is the length, b is the width and c is the height.
Applying that we get that the area of her room is 2*12*18+2*18*8=720.
This applies if we assume that she also paints the floor. If she doesn't we need to subtract the area of the floor which is 12*18=216. So 720-216=504
She will paint her room twice she the amount of paint she needs is twice the area:
720*2=1440
or if she does not paint the floor
504*2=1008
Now we answer how many cans is that by dividing by 400 and rounding up.
1440/400=3.6 she needs, therefore, 4 cans
1008/400=2.52 she needs 3 cans
a ball is thrown into the air. After t seconds, the ball's height is given by h(t)+=12-3(t-2) squared where h is measured in feet. What is the maximum height of the ball?
Answer:A
+9
Step-by-step explan ation:
2020
Mary earns $5 per hour as a waitress. Last week she took home her regular earnings of $5 per hour plus $186 in tips for a total of $301. Which equation can be used to find how many hours, h, Mary worked last week?
A.
$301 = $5h + $186
B.
$301 = $186h + $5
C.
$301 = $186h - $5
D.
$301 = $5h - $186
Answer:
A
Step-by-step explanation:
Let's set hours as h.
We know that she earns 5 dollars an hour. If, for example, she worked 2 hours, she would have earned 2*5=10 dollars. This is 5h.
Next, we know that she got 186 dollars in tips. Tips means that she earned extra money, so therefore, the equation is 5h+186, or A
What is the value of x?
°x=32
°x=36
°x=37
°x=40
Answer: x= 40
Step-by-step explanation:
x + 4x -20=180
5x -20=180
+20 +20
5x= 200
x= 40
Answer:
A) x=32
Step-by-step explanation:
To work out the value of x you would first need to minus 20° from 180°, this gives you 160°. This is because the total angle in a straight line is 180° and that by subtracting 20 from 180 you are isolating the value of the x's.
The next step is to add up the number of x's in that angle. You can do this by adding the values of 4 and 1, this gives you 5.
The final step is to divide the angle 160 by the total number of x's of 5, this gives you 32°. This si because we had previously isolated the value of the 5x and so by dividing it by 5 so we would work out the value of x.
1) Minus 20 from 180.
[tex]180-20=160[/tex]
2) Add 4 and 1.
[tex]4+1=5[/tex]
3) Divide 160 by 5.
[tex]160/5=32[/tex]
hurry will give brainliest!!
Answer:
B and D
Step-by-step explanation:
A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?
Use the function y=13cos(theta) to find the answer
Answer: 9.19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is distance between the top of the ladder and the ground.
Replacing with the values given:
Sin 45 = x/ 13
Solving for x
sin45 (13) =x
x= 9.19 ft
Feel free to ask for more if needed or if you did not understand something.
Complete the table to investigate dilations of
exponential functions.
x
2*
3-2
23.x
M
-2
1
4
Alw
64
-1
1
2
N/W
8
0
a
b
с
1
d
e
f
2
4
12
64
Answer:
88
Step-by-step explanation:
Chicago has a temperature of -10 degrees Fahrenheit. It is colder in Minneapolis than in Chicago. Select all the values that could represent the temperature of Minneapolis.
A. 112F
B. -18F
C. 1-8F
D. -12F
E. -20
Evaluate the expression of 2 + |6 - 2|
Answer:
The answer is 6
Step-by-step explanation:
2+4
please help me with this
Answer: 1,253
Step-by-step explanation:
Just multiply length, width, and height of both boxes and add them together. So 7x5x5= 175 and 11x14x7=1,078. 1,078+175=1,253
23. The chair lift at a ski resort rises at an angle of 21° and attains a vertical
height of 1575 feet. How far does the chair lift travel up the side of a
mountain?
Answer:
The chair travels approximately 4,394.924 feet.
Step-by-step explanation:
We need to use trigonometric functions to solve this problem. You are given the opposite side of an angle and asked to find the hypotenuse. This means you must use sine, because sine is the ratio between opposite and hypotenuse.
Set up the equation as so:
sin(21) = 1575/x
(x being the hypotenuse). Solve for x by multiplying both sides by x and then dividing both sides by sin(21). Solve 1575/(sin(21)), and you get 4,394.924273, or 4,394.92
Andy and Donald are both running toward the soccer ball during a game.
Andy's path is represented by the parametric equations x(t)=24+2/3t,y(t)=8+16t, where t is on the interval [0,50] and t is measured in tenths of seconds.
Donald's path is represented by the parametric equations x(t)=12+t,y(t)=5+1/4t, where t is on the interval [0,50] and t is measured in tenths of seconds.
Do the boys collide? If so, when do they collide?
Andy and Donald do not collide.
Andy and Donald collide at 4.8 seconds.
Andy and Donald collide at 2.4 seconds.
Andy and Donald collide at 3.6 seconds.
Answer:
Correct option: second one -> Andy and Donald do not collide.
Step-by-step explanation:
To find if the boys collide, we need to find if there is a common value of t where the their x position are equal and their y position are equal. To do this, we make x(t) of Andy equal to x(t) of Donald, , then if there is a value for t, we do the same for y(t) and check if the values of t are equal:
24 + 23t = 12 + t
22t = -12
t = -0.5455 seconds
As the time is negative, it will not occur, so the boys will never collide.
Correct option: second one
What is the value of log5 625?
Help me plz
Answer: The answer is 4.
log5 (625) can be interpreted as, "5to what power is equal to 625?
"Since 54=625,log5(625)=4
The value of the logarithm of 625 to base 5, log₅(625), obtained from the definition of logarithms is 4
What is a logarithm?The logarithm function logₐ(x) is the inverse of the exponential function, bˣ, which indicates that where, y = logₐ(x), then [tex]a^y[/tex] = x. Therefore, the logarithm function gives the power to which the base a must be raised to produce x.
With regards to log₅(625), the power to which the base, 5, should raised to produce 625 is required.
Whereby 5⁴ = 625, it can be concluded that log₅(625) = 4
Therefore, the value of log₅(625) is 4
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Which is not a root of z3 + 8 = 0?
a. 2
b. -2
c. 1+1
d. 1-1-13
Please select the best answer from the choices provided
A
B
C
D
=================================================
Short explanation:
Plug z = 2 into the equation and you'll find that
z^3 + 8 = 2^3 + 8 = 8+8 = 16
but the result should be 0 since the original equation has 0 on the right side. Therefore, z = 2 is not a solution.
------------------------------------
Longer explanation:
Solve the equation for z to find the three roots.
z^3 + 8 = 0
(z+2)(z^2 - 2z + 4) = 0 ... sum of cubes factoring rule
z+2 = 0 or z^2 - 2z + 4 = 0
z = -2 or z^2 - 2z + 4 = 0
We see that z = -2 is one root. To find the other two roots, use the quadratic formula to solve z^2 - 2z + 4 = 0 for z
[tex]z = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\z = \frac{-(-2)\pm\sqrt{(-2)^2-4(1)(4)}}{2(1)}\\\\z = \frac{2\pm\sqrt{-12}}{2}\\\\z = \frac{2\pm\sqrt{-1*4*3}}{2}\\\\z = \frac{2\pm\sqrt{-1}*\sqrt{4}*\sqrt{3}}{2}\\\\z = \frac{2\pm i*2*\sqrt{3}}{2}\\\\z = \frac{2\pm 2i*\sqrt{3}}{2}\\\\z = \frac{2(1\pm i*\sqrt{3})}{2}\\\\z = 1\pm i\sqrt{3}\\\\z = 1+ i\sqrt{3} \ \text{ or } \ z = 1- i\sqrt{3}\\\\[/tex]
Therefore, the three roots of z^3+8=0 are [tex]z = -2, \ z = 1+i\sqrt{3}, \ z=1-i\sqrt{3}[/tex]
The value z = 2 is not part of the list of solutions.
We can verify each solution by plugging it back into the original equation. For instance, with z = -2, we get
z^3 + 8 = 0
(-2)^3+8 = 0
-8+8 = 0
0 = 0 ... solution is confirmed.
I'll let you check the other solutions.
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
40
%
salt and Solution B is
65
%
salt. She wants to obtain
40
ounces of a mixture that is
60
%
salt. How many ounces of each solution should she use?
Answer:
We need 8 ounces of solution A and 32 ounces of solution B.
Step-by-step explanation:
We are given that a scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt.
She knows that Solution A is 40% salt and Solution B is 65% salt.
First condition states that she wants to obtain 40 ounces of a mixture that is 60 % salt, that means;A + B = 40
B = 40 - A ------------ [Equation 1]
Second condition states that Solution A is 40% salt and Solution B is 65% salt, that means;[tex]0.4 \text{A}+0.65 \text{B}=0.60 \times 40[/tex]
[tex]0.4 \text{A}+0.65 \text{B}=24[/tex]
[tex]0.4 \text{A}+0.65 (40- \text{A})=24[/tex] {from equation 1}
[tex]0.4 \text{A}+26- \text{0.65A}=24[/tex]
[tex]\text{0.65A} - 0.4 \text{A}=26-24[/tex]
[tex]\text{0.25A} =2[/tex]
A = [tex]\frac{2}{0.25}[/tex] = 8 ounces
Now, putting value of A in equation 1, we get;
B = 40 - A
B = 40 - 8 = 32 ounces
Hence, we need 8 ounces of solution A and 32 ounces of solution B.
For the function f(x)=10(x+5)−9, find the value of f(3)
Answer:
f(3) = 71
Step-by-step explanation:
f(x) = 10(x + 5) − 9
f(3) = 10(3 + 5) - 9
f(3) = 10(8) - 9
f(3) = 80 - 9
f(3) = 71
Rewrite the function by completing the square.
f(x) = x² + 12x - 69
Answer:
0=x²+12x−69 Subtract x² from both sides. −x²=12x−69 Subtract 12x from both sides. −x²−12x=−69 Divide both sides by -1. x²+12x=69 Add (12/2)^2=36 to both sides to complete the square.
hope it helps
please marl brainliest
The required function completing the square is ( x + 6 )² = 105.
To rewrite the function by completing the square f(x) = x² + 12x - 69.
What is What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Function f(x) = x² + 12x - 69
In order to find the perfect square of the function.
f(x) = 0
x² + 12x - 69 = 0
Half the coefficient of x
coefficient of x = 12
=12/2= 6
Add and subtract the square of it in the equation
6² = 36
x² + 12x - 69 +36 -36 = 0
Rearrange,
x² + 12x +36 =69+36
x² + 6x + 6x +36 =105
x( x + 6 ) + 6 ( x + 6) =105
(x+6)(x+6) = 105
(x+6)² = 105
Thus, The required function completing the square is ( x + 6 )² = 105.
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MATH HELP PLEASE!!!
cecile packages snack mix at a health food store.
She uses 13 of her supply of sunflower seeds to make a salted snack mix and 29 of her supply to make an unsalted snack mix. If Cecile uses 10 pounds of sunflower seeds, how many pounds of seeds are in her supply?
Answer: BRAINLIEST PLEASE
her supply has 18 pounds
Explanation:
Assume that the number of pounds in her supply is x.
We are given that:
She uses 1/3 x in salted mix and 2/9 x in unsalted mix.
This means that:
Total amount used = 1/3 x + 2/9 x = 5/9 x of her supply
Now, we are also given that:
She used 10 pounds of her supply.
This means that:
5/9 x = 10
5x = 9*10 = 90
x = 18 pounds
Hope this helps :)
The number of pounds of seeds in her supply is 18
Given:
let
her total supply = x
Supply of salted snack = 1/3x
Supply of unsalted snack = 2/9x
Total pounds of sunflower seed = 10
Total supply of sunflower seeds = salted snack + unsalted snack
10 = 1/3x + 2/9x
10 = (3x + 2x) / 9
10 = 5/9x
divide both sides by 5/9
x = 10 ÷ 5/9
x = 10 × 9/5
= (10 × 9) / 5
= 90/5
= 18
x = 18
Therefore, number of pounds of seeds in her supply is 18
Read more:
https://brainly.com/question/2261275
Alexis bought 1_2 pound of grapes. How many ounces of grapes did she buy?
Answer:
8 oz.
Step-by-step explanation:
One pound is 16oz and ½ of that is 8oz
800, 400, 200, ___, 50, 25
Answer:
100
Step-by-step explanation: It is 100 because they are dividing by 2 each time, so it is 100.
Answer:
100
Step-by-step explanation:
Solve the inequality 3 x - 3 < 9
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x<4
The solution to the given inequality 3x - 3 < 9 is;
x < 4
We are given the inequality;
3x - 3 < 9
Using addition property of equality, add 3 to both sides to get;
3x - 3 + 3 < 9 + 3
3x < 12
Using division property of equality, divide both sides by 3 to get;
3x/3 < 12/3
x < 4
Read more at; https://brainly.com/question/21644280
anyone got da answer xd?
Answer:
i say C
Step-by-step explanation:
pi is 3.14 so you have to find either 3.13 or 3.15
Whick property is used to solve the following problem: 8( 7 - 3)
Identity property
communative property
associative property
distributive property
Answer:
distributive property
Step-by-step explanation:
You are distributing the 8 amongst the numbers inside the parenthesis.
Answer:
The property that is used to solve the problem is, Distributive Property
Step-by-step explanation:
you have to distribute the 8.
If cos x= sin(20 + x)" and 0º
I need help with this geometry math assignment I been struggling and I need help on it very fast and it is due today so please help me out I will mark you Brainly and I’m stress and worry.Also please help me I need the answer I try my best
Answer:
2. BD=14m BC=10, CD=4
3. x=43
4. x=14
Step-by-step explanation:
2. The segment BD should be equal to 14, as then problem would be impossible. Then,
BD=14
BC=10 (given)
CD=14-BC=14-10=4
3. Angle CBD is equal to angle DBA, because BD bisects the angle CBA.
So, if we substitute the measures of the angles,
55 =x+12
55-12=x
x=43 degrees
4. Angle QRT+angle TRS=180 degrees because they are both on a straight line, which equals 180 degrees.
So, if we substitute with the measures of the angles,
3x+5+10x-7=180 degrees
13x-2=180
x= 14
Howard is rock climbing. He descended 300 meters in 5 hours. Which is NOT equivalent to Howard’s average change in location per hour? A. 300/-5 meters per hour B. -300/5 meters per hour C. -(300/5) meters per hour D. -(-300/5 meters per hour
Answer:
D i think
Step-by-step explanation:
Answer
D. -(-300/5 meters per hour
Step-by-step explanation:
I took the quiz, and I got it right on time4learning 2022 I hope I helped and more importantly I hope you pass byee!!!
Determine which consecutive integers do not have a real zero of f(x) = x^3+5x^2 -x -6 between them.
(-6,-5)
(-2,-1)
(-5,-4)
(1,2)
Answer:
(-6, -5).
Step-by-step explanation:
If there is a zero between the integers there will be a change of sign of f(x).
x^3 + 5x^2 - x - 6
f(1) = 1 + 5 - 1 - 6 = -1
f(-1) = -1 + 5 + 1 - 6 = -1
f(2) = 8 + 20 - 2 -6 = 20
There' a change of sign between f(1) and f(2) so there is a zero between (1, 2).
f(-2) = -8 + 20 + 2 - 6= 6
So there is also a zero between -1 and -2. (-2, -1)
F(-4) = 14, f(-5) = -1 = change of sign so there is also a zero in (-5,-4)
f(-6) = -36 - no change in sign between -5 and -6.
What is the value of y?.
Answer:
54 degrees
Step-by-step explanation:
180- 72 = 108
108 divided by 2 = 54
Answer:
54°
Step-by-step explanation:
There is 180° is a triangle. We have 72° given already
180 - 72 = 108
Since there are two y's we divide by two
108 ÷ 2 = 54°
I hope this helps! ^_^
Find the volume of each composite figure. Round to the
nearest tenth. (Hint) Find the Volume of both figures, then additional step is required to find your answer.
Answer:
1209.06 cubic feet
Step-by-step explanation:
use the formula for the volume of a cylinder and the volume of a rectangular prism, and then plug the values into that
The volume of the composite figure consisting of a cylinder and a rectangular prisms to the nearest tenth is 1209.1ft³.
What is a cylinder and a rectangular prism?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.1415 )
A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.
The volume of a rectangular prism is expressed as;
V = w × h × l
Where w is width, l is length and h is the height
From the diagram, the figure consist of a cylinder and a rectangular prism.
For the cylinder;
Radius r = 4ftHeight h = 4ftVolume of the cylinder V_c = ?For the rectangular prism;
Width w = 14ftLength l = 12ftHeight h = 6ftVolume of the rectangular prism V_r = ?Volume of the cylinder.
V_c = π × r² × h
V_c = 3.1415 × (4ft)² × 4ft
V_c = 3.1415 × 16ft² × 4ft
V_c = 201.1ft³
Volume of the rectangular prism.
V_r = w × h × l
V_r = 14ft × 6ft × 12ft
V_r = 1008ft³
Now, the volume of the composite figure will be;
V = V_c + V_r
V = 201.1ft³ + 1008ft³
V = 1209.1ft³
Therefore, the volume of the composite figure consisting of a cylinder and a rectangular prisms to the nearest tenth is 1209.1ft³.
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Eight friends decided to try white-water rafting on a nearby river. They rented four two-person rafts; one was yellow, one was green, one was red, and one was blue. They selected partners for the four rafts and agreed on a destination at the end of a white-water run.
1. Phil and Cook, who were in the same raft, arrived at the destination without incident, but they were not the ones who finished first. 2. The red raft capsized and did not finish; the green raft was first to finish the white-water run. 3. O’Brien and LeRoy were not on the same raft. 4. Paul and Wilson finished last on their raft. 5. Fortunately, Henry is a good swimmer, and he helped his partner, Hughes (whose first name is not Walt), get to shore. They were able to recover their capsized raft, but declined to finish the white-water run. 6. Frank was the first to select a raft, and he picked the yellow one. He and Hawley were on the second raft to finish the white-water run. 7. Alan and Hughes were on the same raft; they were the first to finish the whitewater run. 8. LeRoy and Smith completed the run and were not in last place. 9. After their nearly tragic capsizing experience, Don and his partner, Gladstone, vowed not to set foot in another raft. 10. Alan did not care that he and his partner finished last; he was just glad they made it.
(a) Based on the following statements, one of which is false, what is the first name (Alan, Don, Frank, Henry, LeRoy, Paul, Phil, or Walt) and surname (Cook, Gladstone, Hawley, Huges, O’Brien, Sands, Smith, or Wilson) of each of the friends? (b) Which were partners on the four rafts? (c) What color raft was used by each?
Answer:
Leroy Sands & Walt Smith - greenFrank Cook & Phil Hawley - yellowPaul O'Brien & Alan Wilson - blueHenry Gladstone & Don Hughes - redStep-by-step explanation:
First of all, it is convenient to choose the false statement.
We note that statements 7 (Alan is first) and 10 (Alan did not finish) are contradictory, so one of them must be false. Statement 5 has Henry & Hughes together, so is not consistent with statement 7 (Alan & Hughes). So, statement 7 is inconsistent with two other statements, thus must be the false one.
__
The attached table shows how we parsed the statements. An "O" signifies a combination that must occur; and "X" signifies one that cannot occur. We have used "-" to fill the spaces that are inconsistent with the locations of "O". The red letters are deduced from the others.
The first complete set we found was Henry & Hughes (Don & Gladstone) who were in the (red) capsized raft and did not finish. The second complete set we found was Phil & Cook (Frank & Hawley) who were in the (yellow) raft that finished second. We know Paul & Wilson (Alan & Partner) finished last, so Phil & Cook could not have been Paul and Wilson. Finally, O'Brien and Leroy were not on the same boat, so Paul must be Paul O'Brien and Leroy must be Leroy Sands.