Answer:
3x³ + 13x² + 14x
Step-by-step explanation:
(f × g)(x)
= f(x) × g(x)
= (x + 2)(3x² + 7x)
= x(3x² + 7x) + 2(3x² + 7x) ← distribute parenthesis
= 3x³ + 7x² + 6x² + 14x ← collect like terms
= 3x³ + 13x² + 14x
a plumber charges $50 for every house call and an additional $70 for each hour of work for one house call yesterday the plumber earned $435 which equation can be solved to find the number of hours the plumber word on the house call
Answer:
5.5 hours
Step-by-step explanation:
Since every house has an initial charge of $50, we can begin with that
($50)
Then, let's define h as the number of hours. We know every hour is $70, although the hours is yet unknown so that can be
($70 * h) or simply ($70h)
Now, we know the total should end up to be $435, so after PEMDAS the equation will be
($70h + $50 = $435).
We subtract 50 from both sides so now we have $70h = $385.
Now we divide both sides by 70, giving us h = 5.5. Hope it helped!
The number of hours that the plumber work on the house calls should be 5.5.
Given that,
The charge for a plumber for every house call is $50.And, the extra $70 for each hour. The earning of the plumber is $435.Here we assume the number of hours be h.Based on the above information, the equation is as follows:
70h + 50 = 435
70h = 385
h = 5.5 hours
Therefore we can conclude that the number of hours that the plumber work on the house calls should be 5.5.
Learn more: brainly.com/question/3530056
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answer:
Option B. 489.8 ft²
Step-by-step explanation:
From the question given above, the following data were obtained:
Height (h) = 13 ft
Radius (r) = 6 ft
Pi (π) = 3.14
Lateral surface area (Aₗ) =?
The lateral surface area of the cylinder can be obtained as follow:
Aₗ = 2πrh
Aₗ = 2 × 3.14 × 6 × 13
Aₗ = 489.8 ft²
Therefore, the lateral surface area of the cylinder is 489.8 ft²
1. The cardboard costs 0.002 cents per square mm but glue for each box is also 1 cent per box
2. The plastic costs 0.003 cents per square mm. No glue is necessary. It’s sealed by heat.
Which packaging costs less money?
Based on the areas of the squares, determine whether the triangle shown is a right triangle.
The given triangle is not a right-angle triangle as the sides don't form a Pythagorean triplet.
What is the Pythagoras theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the le right triangle is equal to the square on the hypotenuse (the Pythagoras the right angle)—or, in familiar algebraic notation, a² + b² = c².
Given her: Three squares whose sides form one Pythagoreans of a triangle .
Now a²=58
b²=10
b=√10
c²=64
c=8
Clearly √10<√58<8
Thus c must be the hypotenuse of the triangle.
Using Pythagoras' theorem we get
√10²+√58²=68≠64
Hence, The given triangle is not a right angle triangle as the sides don't form a Pythagorean triplet.
Learn more about the Pythagoras theorem here:
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Find Y.
Round to the nearest tenth.
Z
90 ft
55 ft
X
50 ft
Y
Y= [? ]°
Law of Cosines: c2 = a2 + b2 – 2ab cos C
Answer:
∠ Y ≈ 32.7°
Step-by-step explanation:
Using the law of Cosines
cosY = [tex]\frac{x^2+z^2-y^2}{2xz}[/tex]
with x = 90, y = 55, z = 50
cosY = [tex]\frac{90^2+50^2-55^2}{2(90)(50)}[/tex] = [tex]\frac{8100+2500-3025}{9000}[/tex] = [tex]\frac{7575}{9000}[/tex] , then
∠ Y = [tex]cos^{-1}[/tex] ([tex]\frac{7575}{9000}[/tex] ) ≈ 32.7° ( to the nearest tenth )
URGENT!!!
Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio
Cleopatra : Dalila : Ebony =
5 : 7 : 8
A) How many dollars do they have in total?
B) Dalila spends 12$ on a hat, how many dollars does she have left?
A)they have 20 dollar's in total
b)she is left with -12 dollar's
Explanation
total money = 5 + 7 + 8
= 20
Money Dalila had = 7 dollars
Money she spent = 12 dollars
money she is left with = 7 - 12 dollars
= -5 dollars
I can’t figure it out!! Please help me!
Answer:
height = 8 cm
Step-by-step explanation:
formula to find area of a parallelogram =
base x height
so
10 x height = 80 cm square.
height = 80/10
=8 cm
Need help before 7:00
Answer:
Area of circle = 465.82 cm²
Step-by-step explanation:
Given the following data;
Circumference of the hub cap = 76.49 cm
Pie, π = 3.14
To find the area of the hub cap;
First of all, we would determine the radius of the hub cap.
Mathematically, circumfeence of a circle is equal to;
C = 2πr
Where:
C is the circumference of a circle.
r is the radius of a circle.
C = 2πr
76.49 = 2 * 3.14 * r
76.49 = 6.28r
Radius, r = 76.49/6.28
Radius, r = 12.18 cm
Next, we find the area of the hub cap;
Area of circle = πr²
Area of circle = 3.14 * 12.18²
Area of circle = 3.14 * 148.35
Area of circle = 465.82 cm²
However, if the circumference of the hub cap were smaller, the area of the hub cap would also be smaller. Thus, the circumference of a hub cap is directly proportional to the area of a hub cap.
The city of Raleigh has 10000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 200 randomly selected registered voters was conducted. 72 said they'd vote for Brown, 118 said they'd vote for Feliz, and 10 were undecided. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. Note: The proportion should be a fraction or decimal, not a percent.
Answer:
0.36
Step-by-step explanation:
Given, There Are 10000 Registered Voters in a City & Two Candidates Brown & Felix .
The Day Before Election , A Telephonic Poll Of 200 Randomly Registered Voters Was Conducted .
72 said they would vote for Brown , 118 Said they would vote for felix & 10 Were Undicided .
Now, The sample statistic is the number who would vote for Brown divided by the total number in the sample, or 72/200 = 0.36
& To Find How Many of 10000 voters to vote Brown Just Multiply 0.36 With 10000 ⇔ 0.36×10000=3600
Given the image below, find the area of the regular polygon. The Perimeter of the
decagon is 80 in.
12.3 in.
Answer:
try 492.43, this should be correct if I did this right
Find an equation for the line with the given properties. Express your answer using the general form or the slope-intercept form of the equation of a line.
Slope=-3; containing the point (2,-2)
the equation is
Answer:
[tex]y=-3x+4[/tex]
Step-by-step explanation:
To get the equation in the slope-intercept form first, put the equation in slope-point form using the information given. The slope-point form is [tex]y-(-2)=-3(x-2)[/tex]. Then solve for y.
Distribute -3 to [tex](x-2)[/tex],
[tex]y-(-2)=-3x+6[/tex]
Then, add -2 to both sides,
[tex]y=-3x+4[/tex]
This is your final answer; the slope is -3 and the y-intercept is 4. There are also a few other ways to solve but I find this the easiest.
PLEASE HELP ASAP PLSSSSS !!!!!!!
Answer:
27°
Step-by-step explanation:
angle A + angle B + angle C=180 degree (sum of interior angles of a triangle )
angle A +90 + 63 =180
angle A +153 = 180
angle A =180 - 153
angle A =27 degree
Answer:
<A=27°
Step-by-step explanation:
D=63°
B= 90°
Angles in a triangle adds up to 180°
Therefore A= 180- (63+90)
=180 - 153
=27
URGENT HELP! Graph and indicate the 3rd Critical Point
Solve the following simultaneous equations 5x+2y= -15
x+2y=5
Answer:
(x, y) = (-5, 5)
Answer:
Step-by-step explanation:
5x+2y=-15
Step 1: Add -2y to both sides.
5x+2y+−2y=−15+−2y
5x=−2y−15
Step 2: Divide both sides by 5
[tex]\frac{5x}{5}[/tex]=[tex]\frac{-2y-15}{5}[/tex]
x=[tex]\frac{-2-15}{5}[/tex]
x+2y=5
Step 1: Add -x to both sides.
x+2y+−x=5+−x
2y=−x+5
Step 2: Divide both sides by 2.
[tex]\frac{2y}{2}[/tex]=[tex]\frac{-x+5}{2}[/tex]
y=[tex]\frac{-x+5}{2}[/tex]
Alexsy runs in two cross-country races. He runs the first in 45 minutes and the second in 3.5 hours. Find the ratio of his first race time to his second race time in its simplest form.
Answer:
9:42
Step-by-step explanation:
First, convert his second run into minutes so its easier to simplify
than divide both the timings by 5
to get the answer as 9:42 as the simplest ratio form
The temperature at 8 a.m. was -6°C.
By noon, the temperature was 3°C.
Find the change in temperature.
11
Answer:
9
Step-by-step explanation:
3 - ( -6 ) = 9
Hope this helps! Brainliest?
Answer:
9
Step-by-step explanation:
the other answer is right.
to add a little bit of explanation :
you need to calculate the difference between -6 and +3.
and we are looking on the number line only for a distance and not for a direction, as the distance (or simple difference) between -6 and +3 is the same as between +3 and -6.
so, whatever we get as difference, we need to treat that result as positive number.
so, we get the difference between two numbers by subtracting one from the other.
either 3 - (-6), or -6 - 3
you do know that subtracting a negative number is the same as adding the same positive number ?
e.g. 3 - (-6) = 3 + 6 = 9
as for the other direction -6 - 3 = -9
but again, we have to take this in this context as a positive number.
in math we call this the absolute value of a number.
so, the answer is always 9.
What is the area of a regular hexagon (6 sides) whose
ℎ ℎ 6 ℎ ℎ ℎ ℎ 3√3 ? Show work
A) 54√3 2
B) 36√3 2
C) 108√3 2
D) 18√3 2
Step-by-step explanation:
With reference to the regular hexagon, from the image above we can see that it is formed by six triangles whose sides are two circle's radii and the hexagon's side. The angle of each of these triangles' vertex that is in the circle center is equal to 360∘6=60∘ and so must be the two other angles formed with the triangle's base to each one of the radii: so these triangles are equilateral.
The apothem divides equally each one of the equilateral triangles in two right triangles whose sides are circle's radius, apothem and half of the hexagon's side. Since the apothem forms a right angle with the hexagon's side and since the hexagon's side forms 60∘ with a circle's radius with an endpoint in common with the hexagon's side, we can determine the side in this fashion:
tan60∘=opposed cathetusadjacent cathetus => √3=Apothemside2 => side=(2√3)Apothem
As already mentioned the area of the regular hexagon is formed by the area of 6 equilateral triangles (for each of these triangle's the base is a hexagon's side and the apothem functions as height) or:
Shexagon=6⋅S△=6(base)(height)2=3(2√3)Apothem⋅Apothem=(6√3)(Apothem)2
=> Shexagon=6×62√3=216
What is the measure of an inscribed angle that subtends the same arc as a central angle whose measure is 32 degrees?
Solve the system.
2x + y = 3 −2y = 14 − 6x
Answer:
(x , y ) = (39/22 , -2/11 )
.............
Answer:
-2,3 3,-7
Step-by-step explanation:
took test :)
Which of these random samples represents a representative sample of the number of students who enjoy science class?
A. 30 students in the lunchroom.
B. 30 students who failed science class last year.
C. 30 students who received high grades in their science class last semester.
D. 30 students who participated in the science fair.
Answer: A. 30 students in the lunchroom.
Step-by-step explanation:
A representative sample simply refers to the sample that has same characteristics just like the population.
A random-based selection is regarded as a representative of the population. In this case, the random sample that represents a representative sample of the number of students who enjoy science class is "30 students in the lunchroom".
When the students in the lunchroom are chosen, then it's a representation of the entire students in the school. This is the best option when compared to other options as they don't represent the students entirely.
Answer:
30 students in the lunchroom
Step-by-step explanation:
Got it right on the test.
What is the area, in square feet, of the shape below?
Answer:
[tex]area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 2.9 \times 2.6 \\ = 3.77 \: ft {}^{2} [/tex]
Answer:
3.77 ft²
Step-by-step explanation:
Area of a triangle is half base length multiplied by the height.
0.5(2.9 × 2.6) = 3.77 ft²
PLZZZZZZZZZZZZZZZ HELP ME WITH THIS!!!
Elena and Diego each wrote an equation to represent the following diagrams. Decide which equation you agree with. And, you must provide your explanations in order to receive the points. You need to solve the equation you agree with. Finally, you need to describe, in words, the process you would use to find the missing values. You can assume that angles that look like right angles are indeed right angles.
1. Elean: w+148=180 , Diego: x+90=148.
We know that angle BKC=148 degrees.
I agree with : ( Elena / Diego /Both of them) .
Because:
Describe, in words, the process you would use to find the missing values:
Answer:
I agree with Elena. See explanation below.
Step-by-step explanation:
A right angle is equal to 90 degrees.
A straight line is equal to 180 degrees.
Elena: w + 148 = 180
Elena's equation is correct because 148 degrees is represented by variable k. When adding variable k and w together, they form a straight line which is equiavlent to 180 degrees. By using this equation, Elena can solve for w after isolating the variable:
w + 148 = 180
w + 148 - 148 = 180 - 148
w = 32 degrees
Diego: x + 90 = 148
Diego is incorrect. He added 90 degrees because of the right angle, but he failed to realize that x is within 90 degrees, meaning he would either have to subtract x from 90 degrees or add both x and w to get to 90 degrees. He cannot solve for x or w by using this equation.
To solve for x, add both w and x to get 90 degrees. Since Elena showed us w equals 32 degrees, we can set up an equation:
w + x = 90
32 + x = 90
32 - 32 + x = 90 - 32
x = 58 degrees
The sum of two consecutive integers is −45. Find the Integers.
Answer:
-22 and -23
hope this helped :D
Answer:
- 23 & - 22
Step-by-step explanation:
Let one integer be x, so the other integer is x + 1
x + x + 1 = - 45
2x + 1 = - 45
2x = - 46
x = - 23
The integers are - 23 and - 22.
Ravin is g years old and Eva is 2 years younger than Ravin.
What is the sum of their ages in terms of g?
What is the sum of their ages after g more years, in terms of g?
(gx2)-2
Hope this helps! :)
______________
PLEASE HELP ASAP !!! WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY
Answer:
See below.
Step-by-step explanation:
Alternate Interior Angles - 1
Alternate Exterior Angles - 2
Corresponding Angles - 4
Same-side Exterior Angles - 5
Same-side Interior Angles - 3
Answer:38292
A
Step-by-step explanation:w
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A tower is known to be 60 meters high. A man using a theodolite stands some distance away from the tower and measures its angle of elevation as 38°. How far away from the tower is he if the theodolite stands 1.5 meters above the ground
Which of the following shows the numbers in the box below listed in increasing order?
(A) -2, 3/7, 1/2, 1.2
(B) -2, 1/2, 3/7, 1.2
(C) 3/7, 1/2, 1.2, -2
(D) 1/2, 3/7, 1.2, -2
9514 1404 393
Answer:
(A) -2, 3/7, 1/2, 1.2
Step-by-step explanation:
The numbers are in increasing order when they are listed left-to-right as they appear on the number line.
The only numbers that may give you trouble are 3/7 = 6/14 and 1/2 = 7/14.
The negative number is less than any positive number. 1.2 is greater than any fraction that is less than 1.
The correct ordering is found in choice A.
x ^2+3x+2
I need help with this asap thank you!!!!!!!!!
Answer:
(x+1) (x+2)
Step-by-step explanation:
I this is it? If you meant x to the second power than I think this is the answer
jabu invests R5600 for one year at 8% interest. calculate the value of hus investment by the end of the year
Answer:
Hope you find it helpful
Please someone help me!
Answer:
12000 rad/min
Step-by-step explanation:
One formula we can use here is that the linear speed is the same, and the linear speed is equal to the angular speed multiplied by the radius.
Therefore, 2400π rad/min* 35 cm = 7 cm* x, with x representing the angular speed of the smaller wheel in radians per minutes. Dividing both sides by 7 cm, we get
2400π rad/min * 35 cm / 7 cm = x
2400 π rad/min * 5 = 12000 rad/min = x as our answer