The distance in miles the boat traveled for the modeled function of speed and time is,
[tex](f .g)(2) = 44[/tex]
What is the rate of speed?The rate of speed is the rate at which the total distance is travelled in the time taken.
The function which represents the rate of a boat traveling with the current in miles per hour is,
[tex]f(x) = 2x^2+ 3[/tex]
The function which represents the time the boat traveled in hours is,
[tex]g(x) = x+ 2[/tex]
The distance traveled by boat is the product of rate of speed of the boat and time taken by the boat. Thus, the multiplication function for the above two function can be given as,
[tex](f.g)(x)=(2x^2+3)(x+2)[/tex]
Solve the above function for (f • g)(2) as,
[tex](f.g)(2)=(2(2)^2+3)(2+2)\\(f.g)(2)=(8+3)(4)\\(f.g)(2)=44[/tex]
Interpret the above answer with the given option we get, (f • g)(2) = 44, the distance in miles the boat traveled
Hence, the distance in miles the boat traveled for the modeled function of speed and time is,
[tex](f .g)(2) = 44[/tex]
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Viven's handspan measures 18.5 cm. Estimate the number of times Viven uses her handspan to measure a length of 1 meter 75 cm. Please show how the number of times Viven use her handspan!
75 meters is 175 centimeters
estemate what is 175 ÷ 18.5. It can't be 10 because 18.5 is 185 which is greater than 175, so let's estemate Vivein will have to use het handspan 9 times
Find the value of x
Answer:
29 degrees
Step-by-step explanation:
9: 2x - 2 + x + 5 = 90
3x + 3 = 90
3x = 90 - 3
3x = 87
x = 29 degrees
Find x to solve where my dad is
Answer:
your dad is never coming back
Step-by-step explanation:
$3 milk |
x= distance |
|
_______|________________
y= time o |
home grocery store
f(x)= | 3/x |
lim
x ➔ o
f (x) now thats your answer bye give credits >:)
A four-sided figure with a perimeter of 120 cm has a width which is 30cm less than twice it’s length. What kind of quadrilateral is this? Justify your answer.
Since the opposite side of the quadarilateral are equal hence it is a rectangle.
Perimeter of a rectangleThe sum of the external side is equal to the perimeter. The perimeter of the shape is expressed as:
P = 2(l+w)
where:
P = 120cm
If the width is 30cm less than twice it’s length, then;
w = 2l + 30
Substitute
120 = 2(l + 2l + 30)
60 = 3l + 30
3l = 30
l = 10
Recall that:
w = 2l + 30
w = 2(10) + 30
w = 50cm
Since the opposite side of the quadarilateral are equal hence it is a rectangle.
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answer quick please!
B because B is the answer
Help me with this please
Answer:
E
Step-by-step explanation:
The sum of the interior angles of a 6 sided figure is (6-2 ) * 180 = 720
So all 6 angles will add to 720
6x + 120 + 5x-6 4x+14 +7x + 8x -8 = 720 Gather like terms
6x + 5x + 4x + 7x + 8x +120 -6+14-8 = 720 Collect like terms.
30x + 120 = 720 Subtract 120 from both sides
30x = 720 - 120
30x = 600 Divide both sides by 30
x = 600 / 30
x = 20
Solve for 4x + 14
4(20) + 14 = 94
Finally notice that 94 and y are supplementary
y + 94 = 180 Subtract 94 from both sides
y = 180 - 94
y = 86
8397 divided by 27 WITH THE WAY TO DO IT
Answer:
the awser is 311
Step-by-step explanation:
look at the pic above
What are the x-intercept and y-intercept of this function F(x)=4x+12
Answer:
x-intercept(s): (−3,0)
y-intercept(s): (0,12)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
et aussi surtout : (4-√2)(4+√2)
Answer:
8
Step-by-step explanation:
J'espère que cela t'aides! si c'est le cas, puis-je avoir un brainliest ?
write as an inequality. someone plsss helppp
Answer:
12- x ≥ -5
Step-by-step explanation:
12 minus a number x is written as 12 - x
The greater than or equal to sign is ≥, and used next to -5
Your final answer should look like this:
12 - x ≥ -5
Hope this helps. :)
Find the probability for spinning a multiple of 3. Simplify your answerFind the probability for spinning a multiple of 3. Simplify your answer
Answer:
2/8 (Simplified to 1/4)
Step-by-step explanation:
There are 8 pieces to this, 2 of these 8 pieces are 6, and 3 which are both multiples of 3. So this gives you 2/8 but as you said you need it simplified so if you divide the top and bottom by 2 that gets you the answer of 1/4.
George bought 2.5 pounds of each type of fruit shown on the sign apples $1.30/lb,grapes $1.65/lb,bananas $0.49/lb.what was the total cost of the fruit he bought?
Answer:
$8.60
Step-by-step explanation:
Let’s find the cost for each item
Apples: 2.5 x 1.30 = 3.25
Grapes: 2.5 x 1.65 = 4.125
Bananas: 2.5 x 0.49 = 1.225
Now we will add all the costs which will give use our total!
3.25 + 4.125 + 1.225 = 8.6
So the answer will be $8.60
I NEED THIS NOW!!
triangle abc has angle measures as shown (look at image).
(a) using the triangle sum theorem, write the equation and solve for x.
(b) what is the value of < b? show your work.
Answer:
a) x = 6° b) m∠B = 50°
Explanation:
(a) total angle measure of a triangle is 180°
8x + 2 + 70° + 60° = 180°
8x + 132° = 180°
8x = 180° - 132°
8x = 48°
x = 6°
(b)
m∠B = 8x + 2
m∠B = 8(6) + 2°
m∠B = 48° + 2°
m∠B = 50°
Answer:
A. X is 6 and B. Angle is 50
Step-by-step explanation:
PART A
Triangle sum theorem explains that all angles in a triangle add up to 180
(8x + 2) + 70 + 60 = 180
8x= 180-70-60-2
8x= 48
X= 48/8 =6
PART B
Using the formula provided, replace the x with 6
So it'll be 8(6)+2 = 48+2 = 50
2. On vacation, Katelyn wanted to have her hair braided in multiple braids to cover her head. The beautician charges a flat rate of $4, plus $0.75 per braid. She's saved $29 to get braids. How many braids can she get?
Answer:
33 braids
Step-by-step explanation:
What you want to do is first put in the equation. You put in 0.75x + 4=29.
Then you subtract 4 from 29 and get 25. Then divide 25 by 0.75 and you get the answer 33.3333333333. Round it to the nearest whole number and you get the final answer of 33 braids.
Find the volume of this regular pyramid.
Answer:
25.46
Step-by-step explanation:
v = a^3 / 6√2
= 216/6√2 = 25.46
Please help quickly! :)
Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.
Pentagon with square measuring 7 inches by 4 inches and two triangles with heights of 6 inches and 5 inches.
A 50 in2
B 59 in2
C 85 in2
D 90 in2
Answer:
B) 59 in²
Step-by-step explanation:
From inspection of the diagram, we can see that the polygon is made up of one rectangle and two triangles.
Area of a rectangle = width × length
Given:
width = 4 inlength = 7 in⇒ area = 4 × 7 = 28 in²
Area of a triangle = 1/2 × base × height
Given:
base = 7 inheight = 6 in⇒ area = 1/2 × 7 × 6 = 21 in²
Area of a triangle = 1/2 × base × height
Given:
base = 4 inheight = 5 in⇒ area = 1/2 × 4 × 5 = 10 in²
Total area = 28 + 21 + 10 = 59 in²
decrease 70 in the ratio 3:2
Answer:
105
Step-by-step explanation:
Gina Wilson Unit 6
Need Answer for (More practice with Simular figuers) Worksheet
Answer:
Search up online
Step-by-step explanation:
The total bill for drinks and a pizza for three people is $14.40 before tax. The tax is 5%. What will be the amount of sales tax added to the bill
The group wants to leave a 15% tip on the $14.40 bill. What will be the amount of the tip
Answer:
Have to pay $15.12 but with the 15% tip, it's $16.56.
Step-by-step explanation:
To find how the amount to pay, you do y=a(b)^x.
In this case, it would be y=14.40(1.05)^1. You get the 1.05 from adding the 5% to 100 then turning it into a decimal (dividing by 100).
To figure out the amount needed to be paid with a 15% tip is the same idea. Give it a try.
Last question on the first Khan assignment!
Answer:
x=6
Step-by-step explanation:
(×+54)+5×=90
6×+54=90
90-54
6×=36
×=6
________ sampling has the advantage of a built-in assurance that the sample will accurately reflect the numerical composition of the various subgroups.
The type of sampling technique that has advantage of a built-in assurance of which the sample accurately reflects the numerical compositions of various strata is called: stratified sampling.
What is Stratified Sampling?Stratified sampling is a sampling technique that involves dividing a population into strata. The strata are composed of each member's shared attributes or characteristics.
Thus, the type of sampling technique that has advantage of a built-in assurance of which the sample accurately reflects the numerical compositions of various strata is called: stratified sampling.
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Lines AC←→ and DB←→ intersect at point W. Also, m∠DWC=138°.
Enter the angle measurements for each of the 3 angles shown
solution:
m∠DWC = 138° [ given angle ]m∠AWB = 138° [ vertically opposite angles, same angle measure ]m∠AWD = (360° - 138° - 138° ) ÷ 2 = 42° [ total sum up to 360° ]m∠CWB = 42° [ vertically opposite angle ]
Step-by-step explanation:
According to the question we have:
AC and DC intersect at point W.m∠DWC = 138°The missing angle measures are:
m∠AWB = m∠DWC = 138° as vertical anglesm∠AWD = m∠BWC = 180° - 138° = 42° as supplementary with ∠DWCFactor completely x2 64. (x 8)(x − 8) Prime (x 8)(x 8) (x − 8)(x − 8).
Factor when divides the polynomial then the remainder is 0. The factorized form of the polynomial x²-64 is (x+8)(x-8).
What is a factor?A factor of n is a number which when multiplied by another number gives us the number n.
In order to factorize the given polynomial x²-64, we need to use the algebraic identity, therefore, we will use the identity,
[tex]x^2 - y^2 = (x+y)(x-y)[/tex]
As we can see that the given polynomial can be written as,
[tex]x^2 -64\\\\= x^2 - 8^2\\\\= (x+8)(x-8)[/tex]
Hence, the factorized form of the polynomial x²-64 is (x+8)(x-8).
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Rhett decides to build a square room for his movie and music collection. If the area of the room is 4x2 28x 49 square feet, what is the length of one side of the room? (7x 2) feet (2x 7) feet (2x − 7) feet (7x − 2) feet.
The length of one side of the square room of Rhett for his movie and music collection is (2x+7) feet.
What is area of square?Area of square is the square of its sides length. It can be given as,
[tex]A=a^2[/tex]
Here, [tex]a[/tex] is the length of the side of the square
Rhett decides to build a square room for his movie and music collection. The area of the room is given by the polynomial equation as,
[tex]A=(4x^2 +28x +49)\rm ft^2[/tex]
Find the factors of the above equation using the split the middle term method as,
[tex]A=4x^2 +28x +49\\A=4x^2 +14x+14x +49A=x(2x+7)+7(2x+7)\\A=(2x+7)(2x+7)\\A=(2x+7)^2\rm ft^2[/tex]
Compare it with the area of the square we get,
[tex]a=(2x+7)\rm ft[/tex]
Hence, the length of the square room of Rhett for his movie and music collection is (2x+7) feet.
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Numbers in the circles if it’s blurry:
1) 5mi π/4
2) 11mi 4π/3
Answer:
1) C 2) A
Step-by-step explanation:
fourmola =>
[tex]l \: = \: r \: \times \: \alpha [/tex]
alfa In the radian unit
Answer:
1) The answer is C.
2) The answer is A.
3) The highlighted answer of C is correct!
(If any of the information that I have given you is incorrect I am truly sorry. It has been a couple of years since I have taken a math class.)
2 1/3 expressed as a precent is…?
While out shopping for new clothes, Xaoting sees a sign for cozy socks advertised on sale for $3. 50 per pair. The regular price of the socks is $5 per pair. Xaoting buys 3 pairs and notices that the socks do not ring up at the advertised sale price, so she has the cashier do a price check. If the sales tax is 8%, how much does Xaoting save by paying attention at the register? a. $3. 66 b. $4. 50 c. $4. 86 d. $5. 70.
The Xaoting will save $4.86
We have to find how much Xaoting will save
Therefore we need to calculate the prices of the socks without the advertised sales price.
We have given that $5.00 per pair,
Xaoting buys 3 pairs and notices that the socks do not ring up at the advertised sale price. and sales tax is 8%.
$5.00 per pair x 3 = $15
Sales tax = 8% or 0.08
What is the formula for total price?
Total price=total fixed cost+ total variable cost
Therefore,
Total price=total fixed cost+total variable cost
= (15.00 x 0.08) + 15.00
= 1.20 + 15.00
= $16.20
Total price = $16.20
Now have to find how much it would be if the socks were on the advertised price.
Advertise on sale for $3.50 per pair
So,
$3.50 x 3 = $10.50
Advertised Total price = (10.50 x 0.08) + 10.50
= 0.84 + 10.50
= $11.34
So,
To find how much Xaoting will save by subtracting the regular price to the advertised price.
Savings = $16.20 - $11.34
= $4.86
Therefore,
The Xaoting will save $4.86
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How do I put (1352)⋅(1251)=1562652=117 into a fraction?
Answer:1.625=158
Step-by-step explanation:
Answer:
1.625=158
Showing the work
Rewrite the decimal number as a fraction with 1 in the denominator
1.625=1.6251
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000
1.6251×10001000=16251000
Find the Greatest Common Factor (GCF) of 1625 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 125,
1625÷1251000÷125=138
Simplify the improper fraction,
=158
In conclusion,
1.625=158
During a snowstorm, Madison tracked the amount of snow on the ground. When the storm began, there were 5 inches of snow on the ground. For the first 5 hours of the storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 6 hours and then started again at a constant rate of 1 inch per hour for the next 5 hours. As soon as the storm stopped again, the sun came out and melted the snow for the next 5 hours at a constant rate of 5 inches per hour. Make a graph showing the inches of snow on the ground over time using the data that Madison collected.
Answer:
19
Step-by-step explanation:
Amber had 6 cousins. Her friend Ashley has 2 fewer than 3 times as many cousins as Amber has. Which expression represents the number of cousins Ashley has?
Answer:
Cousins Amber has: 6
(Let no. of cousins Amber has be represented as x)
Cousins Ashley has: 3x - 2
(3 X 6)- 2
18-2
16
Answer: 3 x (6 - 2)
Hope this helped! :D