Answer:
36/13 (2 10/13)
Step-by-step explanation:
Convert 4 1/2 into an improper fraction: 4 1/2 = 9/2
Convert 1 5/8 to an improper fraction : 1 5/8 = 13/8
Divide: Dividing 2 fractions is the same as multiplying the first fraction by the reciprocal of the second value (the numerator becomes the denominator and the denominator becomes the numerator). 13/8 is 8/13 as a reciprocal. Next multiply the 2 numerators. 9 x 8 = 72. Then multiply the denominators. 2 x 13 = 26. Which gives 72/26. Divide both numbers by 2 which gives 36/13. 36/13 as a mixed number is 2 10/13
Answer:
36/13 (2 10/13)
Step-by-step explanation:
:)
What is the volume of this cube?
Answer:
1 cubic ft
Step-by-step explanation:
Volume = Length × width × height
= 1 × 1 × 1
= 1
Answer:
1 cubic ft
Step-by-step explanation:
Volume = l × w × h
= 1 × 1 × 1
= 1 cubic ft
Consider the equation 5 – 3(2x – 7) = 12 – 5(x – 2). Is x = 2 a solution to this
equation? Is x = 4 a solution to this equation? Explain your reasoning in each case
Answer:
see below
Step-by-step explanation:
5 – 3(2x – 7) = 12 – 5(x – 2)
Substitute x=2
5 – 3(2*2 – 7) = 12 – 5(2 – 2)
5 – 3(-3) = 12 – 5(0)
5 - 3*(-3) = 12
5+9 = 12
14=12
This is false so it is not a solution
5 – 3(2x – 7) = 12 – 5(x – 2)
Substitute x=5
5 – 3(2*4 – 7) = 12 – 5(4 – 2)
5 – 3(8-7) = 12 – 5(2)
5 - 3*1 = 12-10
5-3 = 2
2=2
This is true so it is a solution
all the numbers between 20 and 40 which are multiples of 2 and 3
Answer:
21, 24, 27, 30, 33, 36, 39.
Step-by-step explanation:
Answer:
multiples of 3 : 21, 24, 27, 30, 33, 36, 39.
multiples of 2 : 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40
Step-by-step explanation:
Find the angle of depression
from point A to point C.
А
2
58°
6 mi
B
С
Angle of depression = [ ? 1°
Answer:
Angle of depression = 32°
Step-by-step explanation:
The angle of depression from point A to point C is complementary to m<A
m<A = 58°
Therefore,
angle of depression + 58° = 90°
Angle of depression = 90° - 58°
Angle of depression from point A to point C = 32°
PLEASE HELP ASAP!! *the thing above is a picture click to see full problem*
Answer:
101
Step-by-step explanation:
180-79
Please help!!!! I need this to pass my classs
Answer:
a. Maximum
b. (-1, 4)
c. -3, 1
d. x = -1
Step-by-step explanation:
a. There is a maximum value of the function (highest point) because the parabola opens downward.
b. The vertex is the turning point--the point where the maximum is.
c. The roots (or "zeros") are the values of x where the curve intersects the x-axis
d. The axis of symmetry is a vertical line which passes through the vertex.
What is the solution to the system of
equations shown below?
S23
2x + 2y = 12
6x - 2y = 20
Answer:
The solution, as an ordered pair, is (4, 2).
Step-by-step explanation:
2x + 2y = 12
6x - 2y = 20 Adding the 2 equations will eliminate y:
8x + 2y + (-2y) = 32
8x = 32
x = 4.
Substitute x = 4 in the first equation:
2(4) + 2y = 12
2y = 12 - 8
2y = 4
y = 2.
Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 2(x-6)2 + 5
A. F(x) = x2 + 5 and G(x) = x-6
B. F(x) = 2x + 5 and G(x) = (x-6)2
C. F(x) = x - 6 and G(x) = 2x2 + 5
O D. F(x) = (x - 6)2 and G(x) = 5
Answer:
[tex]f(x) = 2x + 5[/tex]
[tex]g(x) = (x - 6)^2[/tex]
Step-by-step explanation:
Given
(a) to (d)
Required
Which will give:
[tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]
Equate the expression in bracket to g(x)
[tex]g(x) = (x - 6)^2[/tex]
Replace g(x) with x in: [tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]
[tex]f(x) = 2x + 5[/tex]
A rectangular yard has area 96 square feet. The width of the yard is 4 feet less than the length. Find the length. in feet, of the rectangular yard.
Answer:
24 ft
Step-by-step explanation:
To find the missing length, we start with the area. We know that we have an area of 96 square ft (although i dont know why someone would have such a big yard). We also know that the width of the yard is 4 ft. The next thing we do is divide. Since we multiply the length and width to find the area, we will divide the area by the width to find the missing length. 96/4= 24. Btw here is the weird yard someone has lol ( i made it to the best of my ability)
|----------------------------------------------------------|
|_______________________________|
Answer:
length=12 feet
Step-by-step explanation:
l*w=a
l*w=96
factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
12*8=96
12-8=4
12 feet=length 8 feet=width
Look at this net for a rectangular prism.
What is the surface area of the solid created by the net? Show your work.
the second part of the question EXPLAIN YOUR THINKING PLZ HELP
The length of the rectangular face is 15 cm, and there are 4 rectangular faces in the rectangular prism. If the length of the rectangular faces in the prism was tripled to 45 cm, what would happen to the size of the 2 rectangular bases of the prism? Explain your thinking.
Answer:
Step-by-step explanation:
the surface area = area of the 4 faces+ area of the 2 bases
4 *(15*8) + 2*( 8*6) = 480+96 = 576 cm²
if the length of the faces tripled, the two bases remain unchanged because the prism just gets taller on the same bases.
what is the value of 76 + 12/3
Answer:
80
hope this helps
have a good day :)
Step-by-step explanation:
The question is in the picture.
[tex] B. \:\frac{2}{ {a}^{7} } [/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{8}{2 \: {a}^{5} } \times \frac{6}{12 \: {a}^{2} } \\ = \frac{48}{24 \:( {a})^{5 + 2} } \\ = \frac{2}{ {a}^{7} } [/tex]
Note:-
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Lin and Claire each threw a rock into a stream. The black graph represents the height of a stone t seconds after it was tossed up by Lin and the purple graph represents the height of a stone t seconds after it was tossed up by Claire.
1) Whose stone hit the water second, and at what time?
2) How long did it take for Claire's rock to reach its maximum? What is the maximum height?
3) Who had the higher initial height? What was it?
Answer:
that can't be the right graph because it is not purple and black or has the right information needed to answer this question
Step-by-step explanation:
Is there a graph that goes with this question?
I really want to help but this is not it
A painter charges $15.05 per hour, plus an additional amount for the supplies. If he made $171.00 on a job where he worked 6 hours, how much did the supplies cost?
15.05x6= 90.3
171.00-90.3=80.7
A garden shed is 5 m from back to front; the back wall is 1.9 m high and the tool
slopes up uniformly to the front wall which is 2.6 m high. Find the area of the
side wall.
Answer:
yagni
Step-by-step explanation:
de bo dam me ha te cu te mala panga uh hu ayeee
y = - 1/(1 + cos y) Find dy/dx.
Step-by-step explanation:
you have to use this
u/v=u'×v-v'×u/v²
0×(1+cosy)-(-1×-siny)/(1+cosy)²
-siny/(1+cosy)²
hopefully its correct
HELP SOON!!
What is sum of the geometric series 5 sigma k-1 6(4)^4-1?
(picture attached)
Answer:
the answer is 2,046...
∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is 2046
What is a geometric series ?The sum of an infinite number of terms that are in constant ratios.
From the given data
∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is (here k is replaced with
n)
6(4)ⁿ⁻¹ for n=1 is
=6(4)¹⁻¹
=6(4)⁰
= 1
6(4)ⁿ⁻¹ for n=2 is
=6(4)²⁻¹
=6(4)¹
=24
6(4)ⁿ⁻¹ for n=3 is
=6(4)³⁻¹
=6(4)²
=6(16)
=96
6(4)ⁿ⁻¹ for n=4 is
=6(4)⁴⁻¹
=6(4)³
=6(64)
384
6(4)ⁿ⁻¹ for n=5 is
=6(4)⁵⁻¹
=6(4)⁴
=6(256)
=1536
∴∑ of 6(4)ⁿ⁻¹ from n= 1 to 5 is
6 + 24 + 96 + 384 + 1536
=2046
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I NEED HELP PLEASEE HELP ME
Answer:
TRUE
FALSE
FALSE
TRUE
Step-by-step explanation:
yan na po god bless
Molly roller blades at a constant speed, travelling 8 km from her home to the library in 0.5 h. What was the rate of change of distance with respect to time?
Answer:
speed = Distance ÷ time
Step-by-step explanation:
S = 8km ÷ 0.5h
S = 16km/h
The rate of change of distance with respect to time was 16km/hr.
What is the average speed?Calculating average speed involves dividing the total distance traveled by the total time it took to cover that distance. Speed is the rate of movement of something at a specific time. Average speed refers to the average speed over the course of a journey.
How to solve this problem?Here, the total distance = 8km
Total time = 0.5 hr
Then the rate of change = total distance/total time = 8/0.5 = 16km/hr
Therefore, the rate of change of distance with respect to time was 16km/hr.
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GIVING BRAINLIEST PLEASE ANSWER NOW
what is the volume of this triangular prism
Answer:
V
≈
54.83
Step-by-step explanation:
This should be the correct answer.
Find the length of side x in simplest radical form with a rational denominator.
Answer has to be in simplest radical form
Answer:
[tex]\frac{9\sqrt{3} }{2}[/tex]
Step-by-step explanation:
since the triangle is a 30-60-90 triangle:
√3 : 2 = x : 9
=> 2x = 9 √3
=> x = [tex]\frac{9\sqrt{3} }{2}[/tex]
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Answer:
x=60 all you have to do is take 140 and subtract it from 80 that is it
Answer:
x= 40°
Step-by-step explanation:
here
x°+140°+80°= 180°
or , x°+220°=180
or , x°=220°–180°
•
• • x= 40°
Please answer :D pretty simple for math experts I’m just bad
Answer: 74 inches
Step-by-step explanation:
Since we are given the equation of the regression line for the son's height y to be:
y = 0.5x + 38
where,
x = father's height = 72 inches
Then, we put the value of x into the equation and this will be:
y = 0.5x + 38
y = 0.5(72) + 38
y = 36 + 38
y = 74 inches
Therefore, the son is 74 inches.
ADULT
£10.85
TEEN
£9.76
TICKET PRICES
CHILD
£8.43
SENIORS
£4.30
FAMILY
£32.99
If Syed pays for 3 adults, 5 teens, a child and 2 seniors with two £50 notes, who
change does he receive from the ticket seller?
Answer:
£1.62
Step-by-step explanation:
add them all up then subtract 100 and forget about the negative sign
In a year study found that the 7 billion people in the world 6 billion have cell phones how many people live without access for that year
Answer:
1 billion
Step-by-step explanation:
there are 7 billion people and out of that 7 billion , only 6 billion have cell phones and the remaining people don't have cellphones.
Working out:
7 -6=1
What is the radius of a circle whose equation is x2+y2+8x-6y+21=0?
O 2 units
O 3 units
4 units
ОО
O 5 units
The radius of the circle whose equation is x² + y² + 8x - 6y + 21 = 0 is 2 units
Radius of a circleSince the equation of the circle is x² + y² + 8x - 6y + 21 = 0, to find the radius, we complete the square in the terms x and y and convert it to the form (x - a)² + (y - b)² = r² (1) which is the standard equation of a circle.
So, x² + y² + 8x - 6y + 21 = 0
x² + 8x + y² - 6y + 21 = 0
x² + 8x + (8/2)² - (8/2)² + y² - 6y + (-6/2)² + (-6/2)² + 21 = 0
x² + 8x + 4² - 4² + y² - 6y + (-3)² - (-3)² + 21 = 0
(x + 4)² - 4² + (y - 3)² - (-3)² + 21 = 0
(x + 4)² - 16 + (y - 3)² - 9 + 21 = 0
(x + 4)² + (y - 3)² - 16 - 9 + 21 = 0
(x + 4)² + (y - 3)² - 4 = 0
(x + 4)² + (y - 3)² = 4 (2)
Comapring (1) and (2), r² = 4
So, r = √4
r = 2
So, the radius of the circle whose equation is x² + y² + 8x - 6y + 21 = 0 is 2 units
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The radius of the circle given by the equation is 2.
What is Circle?Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.
Standard form of a circle is given by the equation,
(x - h)² + (y - k)² = r²
where, (h, k) is the center of the circle and r is the radius of the circle.
Given equation is,
x² + y² + 8x - 6y + 21 = 0
(x² + 8x + 16) + (y² - 6y + 9) - 4 = 0
(x + 4)² + (y - 3)² = 4
(x + 4)² + (y - 3)² = 2²
Hence the radius of the circle is 2.
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A cylinder has a base area of 28.2m2 and a height of 3.1 m. Estimate the volume of the cylinder.
Answer:
Base area by height
28.2*3.1=87.42cm3
Find the measure of angle x.
X Х
x = [?]
/20
Answer:
x=20[vertically opposite angle are equal]
Can someone help me pls I need help pls help
Answer:
A or B
Step-by-step explanation:
Answer:
i believe its B~
Step-by-step explanation:
One hundred students were surveyed and asked if they participate in band and if they play a sport. The table below summarizes their responses.
Of students that do NOT play a sport, what is the relative frequency of those who participate in band?
Answer:
22/30
Step-by-step explanation:
22 students participate in band and 8 do not. The total number of students that don't play sports are 30 in total cause 22 + 8 = 30.
So, 22/30
Answer:22/30
Step-by-step explanation: