Surface area: 2 × w × l + 2 × l × h + 2 × h × w
Answer:
156 in. squared
Step-by-step explanation:
What is the equation of the circle shown below?
A.
(x ‒ 4)2 + (y + 5)2 = 34
B.
(x ‒ 5)2 + (y ‒ 4)2 = 5.83
C.
(x + 4)2 + (y ‒ 5)2 = 34
D.
(x ‒ 5)2 + (y + 4)2= 5.83
I am definitely willing to assist you, but without an illustration is a tough challenge.
Solve for 3/4u = 12
.
Simplify your answer as much as possible.
Answer:
u = 16
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] u = 12
Multiply both sides by 4 to eliminate the fraction
3u = 48 ( divide both sides by 3 )
u = 16
if x is 5, then what does 6x =
Answer:
x=30
Step-by-step explanation:
More math help please im lazy ._.
there are no real square roots of 25,36
Big Ed’s car dealership is running a special on 2008 trucks. Big Ed offers financing at a rate of 6.71% on a loan with a term of 36 months, but he requires the customer to make a down payment of 15% of the cost of the vehicle. You are interested in a Car Crusher truck that costs $25,230. Not including the down payment, how much will you pay over the lifetime of the loan? a. $27,924.84 c. $23,735.88 b. $25,789.32 d. $21,445.50 Please select the best answer from the choices provided A B C D
Answer: C
Step-by-step explanation:
25,230 x .15= 3,784.50
25,230- 3,784.50= 21,535
21,535/36= 598.20833
598.20833 x 1.0671= 638.348109
638.348109 x 36= 22,980.5319
Answer:
Letter C $23,735.84.The result varies a few dollars, because during the solution an adjustment was made to the decimals.
Step-by-step explanation:
1. Define the price of the vehicle you are going to buy with the dealer or seller
Principal: $25230
Rate= 6.71%
N= 36 months
Down payment=15% of the cost of the vehicle= (25230*0.15)=$3784.50
25230-3784.50=21445.5
2. Apply the amortization formula to determine the monthly payments. With this taxation, you will determine the payments applied to the principal and the copper of interest.
A=P*(r(1+r)^{n})/((1+r)^{n}-1).
A= amortization or monthly payments.
P=Principal
R=interest rate
N= the total number of months
a. Calculate the monthly interest rate. The annual interest rate is 6.71% percent. Divide it by 12 to get the monthly interest rate. The monthly interest rate is 0.5592 percent (6.71/12 = 0.5592)
A=21445.5*(0,005592 (1+0,005592)^{{36}})/(1+0,005592)^{{36}}-1.
A=21445.5*(0,00683/0,2223)
A=21445.5*0,03072=658.90
Total of the payment= 658.90*36=23720.40
A certain hexagonal prism has a volume of 160 cubic meters. Its base has a perimeter of 30 meters and an area of 64 square meters. What is the surface area in square meters of the hexagonal prism??
Answer:
The surface area is equal to [tex]203\ m^{2}[/tex]
Step-by-step explanation:
step 1
Find the height of the prism
we know that
The volume of the prism is equal to
[tex]V=Bh[/tex]
where
B is the area of the base of the prism
h is the height of the prism
we have
[tex]V=160\ m^{3}[/tex]
[tex]B=64\ m^{2}[/tex]
substitute in the formula and solve for h
[tex]160=64h[/tex]
[tex]h=160/64=2.5\ m[/tex]
step 2
Find the surface area
The surface area of the prism is equal to
[tex]SA=2B+Ph[/tex]
where
B is the area of the base of the prism
P is the perimeter of the base
h is the height of the prism
we have
[tex]B=64\ m^{2}[/tex]
[tex]P=30\ m[/tex]
[tex]h=2.5\ m[/tex]
substitute in the formula
[tex]SA=2(64)+(30)(2.5)=203\ m^{2}[/tex]
Sam wrote these four expressions .
1 . n + n + n + n + 2
2 . n + n + n + 2
3 . 4n + 2
4 . 2n + 2n + 2n
PART A- Which expressions are equivalent? Write your answer in the space provided .
PART B- Choose two of Sam’s expressions that are not equivalent . Explain how you know they are not equivalent . Write your answer in the space provided .
Part A) the first and the third answer are equivalent because.
n+n+n+n+2= 4n+2 which is the same as the third answer.
Part B) 2 and 4 are not equivalent because
2) n+n+n+2= 3n+2
4) 2n+2n+2n= 6n
as we can see they are not the same. Therefore they are not equivalent.
hope this helps
Find the product. (A^3 + 8)(a^3 -8)
a^6-64
I used the foil method
(a^3+8)(a^3-8)
a^6-8a^3+8a^3-64 middles cancel out
a^6-64
If the first term of a geometric sequence is positive, and r>1, then the sequnce increases?
Answer:
Yes, if the first term of a geometric sequence is positive and r > 1, then the sequence increases
Step-by-step explanation:
* Lets talk about the geometric sequence
- There is a constant ratio between each two consecutive numbers
- Ex:
# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)
# 5000 , 1000 , 200 , 40 , …………………………(÷5)
* General term (nth term) of a Geometric sequence:
# U1 = a , U2 = ar , U3 = ar2 , U4 = ar3 , U5 = ar4
# Un = ar^n-1, where a is the first term , r is the constant ratio
between each two consecutive terms, and n is the position of
the number in the sequence
- V.I.N: The position of the number means the place of the
number like first , second , third , .......... so n must be positive integer
* Lets talk about the ratio r
- If r greater than 1 and a is positive, the sequence increases lets
take some different examples to explain that
# If the first term is 2 and the ratio between the consecutive
terms is 3/2, then the first four terms in the sequence are
∵ a = 2
∵ r = 3/2 ⇒ greater than 1
∴ First = a = 2
∴ Second = ar = 2 × 3/2 = 3
∴ Third = ar² = 2 × (3/2)² = 2 × 9/4 = 9/2 4.5
∴ Fourth = ar³ = 2 × (3/2)³ = 2 × 27/8 = 27/4 = 6.75
- From the answers the sequence increases
# If the first term is 1/2 and the ratio between the consecutive
terms is 4/3, then the first four terms in the sequence are
∵ a = 1/2
∵ r = 4/3 ⇒ greater than 1
∴ First = a = 1/2
∴ Second = ar = 1/2 × 4/3 = 2/3 ⇒ 2nd > 1st
∴ Third = ar² = 1/2 × (4/3)² = 2 × 16/9 = 8/9 ⇒ 3rd > 2nd
∴ Fourth = ar³ = 1/2 × (4/3)³ = 2 × 64/27 = 32/27 ⇒ 4th > 3rd
- From the answers the sequence increases
* Now we are sure if the first term of a geometric sequence is
positive and r > 1, then the sequence increases
Answer:
The given statement is TRUE.
Step-by-step explanation:
We are given that if the first term of a geometric sequence is positive, and r>1, then the sequence increases which is true.
If the first term of any geometric sequence is positive and its common ratio ( r ) is greater than 1 then the sequence will always increase.
[tex] a _ n = a r ^ n - 1 [/tex]
44 is 55% of what number?
Enter your answer in the box.
|___|
Whoever answers it correctly gets branliest :)
Answer:
44 is 55% of 80
Step-by-step explanation:
44 is 55% of what number
LEt the unknown number be x
44 is 55% of x
Write the given sentence in equation form
[tex]44= 55 \ percent \ times \ x[/tex]
To remove percentage we divide by 100
55 divide 100 is 0.55
[tex]44=0.55 \cdot x[/tex]
Divide both sides by 0.55 to solve for x
[tex]80=x[/tex]
The value of x is 80. It means 44 is 55% of 80
The number is 80 and 44 is 55 percentage of the number 80
Given data ,
To find out what number 27 is 30 percent of, we can set up the equation:
55% of x = 44
To solve for x, we can divide both sides of the equation by 55% (or 0.55), which is the equivalent of dividing by 0.55:
x = 44 / 0.55
On dividing the numerator of the fraction by the denominator , we get
Evaluating the expression on the right side gives:
x = 80
Therefore , the value of the number is x = 80
Hence , 44 is 55 percent of number 80
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(15 points) please help asap!!!
(4, 2) and (4, -5)
(Look at the photo. They have the same x-coordinates, but different y-coordinates; one is positive the other is negative, resuting in different quadrants)
I hope this helps!
A certain tennis player makes a successful first serve 70% of the time. Assume that each serve is independent of the others. If she
serves 6 times, what's the probability that she gets...
All 6 serves in?
Exactly 4 serves in?
At least 4 serves in?
No more than 4 serves in?
this is a binomial problem: p = 0.7 and q = 0.3
a) (0.7)^6
b) (6C4)(0.7)^4(0.3)^2
c) Pr ( at least 4) = Pr(4) + Pr(5) + Pr(6) = (6C5)(0.7)^5(0.3) + (0.7)^6
d) Pr (no more than 4) = 1 - Pr(at least 4) = 1 - (answer from c)
The question requires understanding of binomial probability. The probability of all 6 serves, exactly 4 serves, at least 4 serves, and no more than 4 serves can be calculated using binomial distribution when each serve is an independent event.
Explanation:The subject of this question relates to probability involved in binomial distribution. Binomial distribution applies when there is a fixed number of independent trials, each with a constant probability of success. Here, a tennis player making a successful serve can be considered a success, with a probability of 0.70.
For all 6 serves in, the calculation is simply the product of the successful probability raised to the power of 6, which is (0.70)^6.For exactly 4 serves in, the calculation uses a binomial probability formula P(x=k) = C(n, k) * (p^k) * ((1-p)^(n-k)), where n is the total number of trials, k is the desired number of successes, and p is the probability of a single success. Here, C(6,4) * (0.70^4) * (0.30^2).For at least 4 serves in, it's the sum of the probabilities of getting exactly 4, 5, and 6 serves in.For no more than 4 serves in, it's the sum of the probabilities of getting exactly 0, 1, 2, 3, and 4 serves in.Learn more about Binomial Probability here:https://brainly.com/question/39666605
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A rectangular swimming pool that is 10 ft wide by 16 ft long is surrounded by a cement sidewalk of uniform width. If the area of the sidewalk is 155 ft2, what is its width? A = lw 2.5 ft 5.0 ft 6.2 ft 15.5 ft
The pool has area [tex]160\,\mathrm{ft}^2[/tex].
Let [tex]x[/tex] be the width of the sidewalk. Then the combined area of the pool and sidewalk is [tex](10+x)(16+x)=160+26x+x^2[/tex], so that the area of the sidewalk alone is [tex]26x+x^2[/tex].
We're told this area is [tex]155\,\mathrm{ft}^2[/tex], so
[tex]26x+x^2=155\implies x^2+26x-155=(x-5)(x+31)=0\implies x=5[/tex]
Answer:
The width of the sidewalk is 5.0 ft.
Step-by-step explanation:
Given,
The dimension of the rectangular swimming pool is 16 ft × 10 ft,
So, the area of the pool = 16 × 10 = 160 ft²,
Let x be the uniform width of the cement sidewalk,
So, the dimension of the area covered by both swimming pool and sidewalk = (16+x) ft × (10+x) ft,
Thus, the combined area of the swimming pool and sidewalk = (16+x)(10+x) ft²
Also, the area of the sidewalk = The combined area - Area of the pool,
= (16+x)(10+x) - 160
According to the question,
[tex](16+x)(10+x)-160 = 155[/tex]
[tex](16+x)(10+x)=315[/tex]
[tex]160+16x+10x+x^2=315[/tex]
[tex]x^2+26x-155=0[/tex]
By the quadratic formula,
[tex]x=\frac{-26\pm \sqrt{676+620}}{2}[/tex]
[tex]x=\frac{-26\pm 36}{2}[/tex]
[tex]\implies x=5\text{ or } x = -31[/tex]
Side can not be negative,
Hence, the width of the sidewalk is 5.0 ft.
The function H(t) = −16t^2 + 112t + 24 shows the height H(t), in feet, of a cannon ball after t seconds. A second cannon ball moves in the air along a path represented by g(t) = 5 + 3.2t, where g(t) is the height, in feet, of the object from the ground at time t seconds.
Part A: Create a table using integers 4 through 7 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)
Part B: Explain what the solution from Part A means in the context of the problem. (4 points)
Answer:
see the attachment for a table
Step-by-step explanation:
A. The table is shown in the attachment. The solution to h(t) = g(t) is at a value of t that lies between 6 and 7. At t=6, h(t) > g(t). At t=7, h(t) < g(t). Since both functions are continuous, they must have equal values somewhere between t=6 and t=7. (Intermediate value theorem.)
__
B. The solution means the cannon balls will have the same height at a value of t between 6 and 7.
Answer:
b
Step-by-step explanation:
An animal shelter uses 41 cups of food each day to feed the dogs and cats. Each dog eats 2 cups per day. The cats eat a total of 17 cups per day. The diagram represents this situation. Which equation can be used to find d, the number of dogs at the shelter?
Answer:
The equation that can be used to find d is [tex]2d+17=41[/tex]
[tex]d=12\ dogs[/tex]
Step-by-step explanation:
Let
d -----> the number of dogs
we know that
The linear equation that represent this situation is
[tex]2d+17=41[/tex]
Solve for d
Subtract 17 both sides
[tex]2d=41-17[/tex]
[tex]2d=24[/tex]
Divide by 2 both sides
[tex]d=12\ dogs[/tex]
Final answer:
The equation to find the number of dogs at the shelter is 2d + 17 = 41, where 2d represents the total cups of food eaten by the dogs and 17 represents the cups eaten by the cats per day.
Explanation:
To find d, the number of dogs at the animal shelter, we can use the information provided to set up an equation. We know the shelter uses 41 cups of food each day in total, and that cats eat 17 cups in total per day. Since each dog eats 2 cups per day, we can represent the number of cups dogs eat as 2d, where d is the number of dogs. We can then express the total food used as the sum of the food eaten by the cats and the food eaten by the dogs, which gives us the equation:
2d + 17 = 41
This equation can be used to find the number of dogs at the shelter since solving for d would give us the total number of dogs based on their food consumption.
The radius of the circle whose equation is (x-3)^2 + (y+1)^2 = 16 is
Answer:
4
Step-by-step explanation:
The general equation of a circle with center (a, b) and radius r is given by the equation;
[tex](x-a)^{2}+(y-b)^{2}=r^{2}[/tex]
The constant in the right hand side of the equation is simply the square of the radius;
We have been given the following equation;
(x-3)^2 + (y+1)^2 = 16
Comparing this with the general equation above;
[tex]r^{2}=16\\\\r=\sqrt{16}=4[/tex]
There is a 52% chance that a player will win a certain carnival game. Which statement describes the likelihood that a player will win the game?
A. The player will definitely win the game.
B. It is unlikely that the player will win the game.
C. It is likely that the player will win the game.
D. It is neither likely nor unlikely that the player will win the game.
It’s A. Hope you already got it✨
The answer is actually D or C
Which side lengths form a right triangle 30 POINTS!!
Answer:
A. 3, 4, 5
Step-by-step explanation:
Option A:
LHS = 3² + 4² = 9 + 16 = 25
RHS = 5² = 25
(3, 4, 5) is a right triangle.
Option B:
LHS = 7² + 8² = 49 + 64 = 113
RHS = 9² = 81
(7, 8, 9) is NOT a right triangle.
Option C:
LHS = 3² + 9² = 9 + 81 = 90
RHS = √95² = 95
(3, 9, √95) is NOT a right triangle.
Hope this help!!!
Have a nice day!!!
The vertices of ABC are A(-2,2), B(6,2), and C(0,8). The perimeter of ABC
Answer:
The perimeter of the triangle ABC is 22.8 units
Step-by-step explanation:
* Lets study the information in the problem
- There is Δ ABC with vertices:
A (-2 , 2) , B (6 , 2) , C (0 , 8)
- The perimeter of the triangle is the sum of the length of its
three sides
* We must to find the lengths of AB , BC and CD
- The rule to find the distance between 2 points (x1 , y1) and (x2 , y2) is
√[(x2 - x1)² + (y2 - y1)²]
* Lets find the lengths of the three sides
- Length of AB
∵ A = (-2 , 2) and B = (6 , 2)
∴ AB = √[(6 - -2)² + (2 - 2)²] = √8² = 8 units
- Length of BC
∵ B = (6 , 2) and C = (0 , 8)
∴ BC = √[(0 - 6)² + (8 - 2)²] = √[6² + 6²] = √72 = 6√2 units
- Length of AC
∵ A = (-2 , 2) and C = (0 , 8)
∴ AC = √[(0 - -2)² + (8 - 2)²] = √[2² + 6²] = √40 = 2√10 units
* Now lets find the perimeter of the triangle
∵ The perimeter = AB + BD + AC
∴ The perimeter = 8 + 6√2 + 2√10 = 22.8 units
* The perimeter of the triangle ABC is 22.8 units
Answer:
The perimeter of triangle ABC = 22.78 units
Step-by-step explanation:
Formula:-
The length of line segment with end points (x₁, y₁) and (x₂, y₂) is given by,
Length = √ [(x₂ - x₁)² + (y₂ - y₁)²]
To find the each side of triangle
We have A(-2,2), B(6,2), and C(0,8).
AB = √[(6 - -2)² + (2 - 2)²] = √64 = 8
BC = √[(0 - 6)² + (8 - 2)²] = √(36 + 36) = 8.48
AC = √[(0 - -2)² + (8 - 2)²] = √(4 + 36) = 6.3
To find the perimeter of triangle ABC
Perimeter = AB + BC + AC
= 8 + 8.48 + 6.3 = 22.78 units
If f(x) = 5x + 40, what is f(x) when x = -5?
the answer to this problem is 15
I believe 15 is correct ^^
The volume of a rectangular prism is (x^3-3x^2 +5x-3) and the area of its base is (x^2-2) if the volume of a rectangular prism is the product of its base area and height what is the height of the prism?
A)x-3 + 7x-9/x^2-2
B) x-3 + 7x-9/x^3 -3x^2+5x -3
C) x-3 + 7x +3 /x^2-2
D)x-3 + 7x+3/x^3-3x^2 +5x-3
Answer:
option A.
Step-by-step explanation:
We know that the volume of a rectangular prism is the product of its base area and height. That is to say:
Volume = Base Area x Height
Where: x^3-3x^2 +5x-3
Height: x^2-2
Volume =
Solving for "Height" we have:
Height = Volume / Base Area
Height = (x^3-3x^2 +5x-3) / (x^2-2)
Using ruffinis law we have that the solution is:
x-3 with a remainder of 7x-9
That is to say:
x-3 + (7x-9)/(x^2 - 2)
That is option A.
Find the value of x for which line a is parallel to line b
Answer:
20
Step-by-step explanation:
Since we are told that line a is parallel to line b, even if it's not visible in the image, we can say that ∠5 = ∠1, since they are formed by the same line crossing parallel lines.
So, we have
∠4 = 3x
∠5 = ∠1 = 6x
Since ∠4 and ∠5 are complementary angles formed by line t, we know their sum is 180 degrees. So,
∠4 + ∠5 = 180
3x + 6x = 180
9x = 180
x = 20
Answer is 20.
Calculate the value of x to the nearest degree
Answer:
x = 61.3°
Step-by-step explanation:
We are given the radius r = 9 cm and arc length l = 9.7 cm. We need to find the angle x in degrees.
The formula used is:
l = rФ
In our case Ф = x. So re writing the formula:
l= rx
9.7 = 9 x
=> x = 9.7 / 9
x = 1.07 radians
Converting radians into degree we need to multiply the value of x by
180/π where π = 3.14
x = 1.07 * 180/3.14
x = 61.3°
Which kind of function best models the data in the table? Graph the data and write an equation to model the data.
a. linear; y = –x – 2
b. linear; y = x – 2
c. exponential; y = 3^x – 2
d. quadratic; y = x^2 – 2
Answer:
Option A, linear; y = -x - 2
Step-by-step explanation:
Example-
x = 3
y = ?
? = -3 - 2 (add the negative number if in the case of subtracting a negative number)
? = -5
The students in Mr. Taylor's class are part of different clubs. 8 boys in reading club 4 girls in reading club 2 boys in drama club 12 girls in drama club Which of the following statements is correct? A. For every boy in the drama club, there are two boys in the reading club. B. For every boy in the drama club, there are six boys in the reading club. C. For every girl in the reading club, there are three girls in the drama club. D. For every girl in the reading club, there are four girls in the drama club.
Answer:
The answer is D. For every girl in the reading club, there are four girls in the drama club. It is not B. For every boy in the drama club, there are six boys in the reading club.
Pls make me brinlyest .
Hope this helped
The correct statement is, C. For every girl in the reading club, there are three girls in the drama club.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, 8 boys in reading club 4 girls in reading club 2 boys in drama club 12 girls in drama club.
Going through the given options (given statements so multiple options would be correct).
For every girl in the reading club, there are three girls in the drama club,
As 12 is a multiple of 4 and 3.
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If M = N, the diameter of M = 148, and AB = 140, what is the length of NQ?
Answer:
[tex]NQ=24\ units[/tex]
Step-by-step explanation:
we know that
Triangles ABM and CDN are congruent
so
CD=AB
AB=2AL ----> because the diameter divide the circle into two equal parts
CQ=AL=140/2=70 units
NC----> is the radius
NC=148/2=74 units ----> the radius is half the diameter
Applying Pythagoras Theorem find the value of NQ
[tex]NC^{2}=NQ^{2}+CQ^{2}[/tex]
substitute the values
[tex]74^{2}=NQ^{2}+70^{2}[/tex]
[tex]NQ^{2}=74^{2}-70^{2}[/tex]
[tex]NQ^{2}=576[/tex]
[tex]NQ=24\ units[/tex]
Jefferson played basketball in the park. He started playing basketball at 1:15 P.M and played for 1 hour and 25 minutes. What time did Jefferson play basketball until?
Final answer:
Jefferson played basketball until 2:57 P.M.
Explanation:
To find out what time Jefferson played basketball until, we need to add the duration of time he played to the starting time.
First, we convert the duration of time from minutes to hours. Since there are 60 minutes in an hour, 1 hour and 25 minutes is equal to 1.42 hours.
Next, we add 1.42 hours to the starting time of 1:15 P.M. This gives us the ending time of 2:57 P.M.
Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in Josiah’s account, y, after x years?
Answer:
[tex]y=\$360(1+0.03x)[/tex]
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]y=P(1+rx)[/tex]
where
y is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
x is Number of Time Periods
in this problem we have
[tex]P=\$360\\r=0.03[/tex]
substitute in the formula above
[tex]y=\$360(1+0.03x)[/tex]
Answer:
y = 360(0.03)x
Step-by-step explanation:
incorrect and how do i erase a answer
What is the square root of 9 plus the square root of 9 plus the square root of 9 plus the square root of 9, etc
[tex] \sqrt{9} + \sqrt{9} + \sqrt{9} + \sqrt{9} [/tex]
3+3+3+3
=18
hope that helped you
Answer: 18
Step-by-step explanation:
square root of 9 equals 3+3+3+3+3+ = 18 (3x6)
how many square feet of outdoor carpet will we need for this hole?
Answer:
40
Step-by-step explanation:
12x4 = 48
3x2 = 6
2x1 = 2
6+2 = 8
48-8= 40
HOPE THIS HELPS!