Answer:
Equation: N = 2M, Shen needs to read 26 novels in 13 months
Step-by-step explanation:
Given : Shen needs to read 2 novels each month.
i.e. In One month , the number of novels read by Shen = 2
Let N be the number of novels Shen needs to read in M months.
Then , N = 2 M
Thus , the equation relating N to M : N = 2 M
If Number of months = 13 , then put M = 13 in the above equations , we get
N = 2(13) = 26
Hence, the number of novels he read in 13 months = 26.
Tristan's pen is 2/3 foot long. His pencil is 5/12 foot long. In feet , what is the conbined length of the pen and pencil
Answer:
13/12 or 1 1/12
Step-by-step explanation:
First you change 2/3 to 8/12 by multiply both the numerator and denominator by 4. Then, you add the numerators but DO NOT change the denominators. Therefore, your answer is 13/12 which = 1 1/12.
Katie's earnings, E , for a week are given by the equation E = 18h, where H is the number of hours that Katie works during the week. If Katie works 40 hours per week for 4 weeks, how much money will she earn during the 4-week period?
Answer:
$2,880
Step-by-step explanation:
18 x 40 = 720 earned per week
720 x 4 (weeks) = 2880 earned in 4 weeks
How do you find the radian of any given degree.
To convert any given angle from the measure of degrees to radians, the value has to be multiplied by π/180.
hope it helps...!!!
Answer:
there are 2pi radians in a circle
there are also 360 radians in a circle
let r = radians and d = degrees
2*pi*r=360*d
2pi/360*radians = degrees
(pi/180)*radians = degrees
Look at the given triangles.
A. Write an expression in the simplest form for the perimeter of each triangle.
B. Write another expression in simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle.
C. Find the perimeter of each triangle when x=3
Blue: P=4x +2+7x +7+5x-4 --> 16x +9-4=16x +5
Red: P=x+3+2x - 5 + x + 7 --> 4x + 10 - 5 = 4x + 5
Difference between the perimeter:
(16x + 5) - (4x + 5) = 16x + 5 - 4x - 5 = 12x
Perimeter when x = 3
Blue : 16x + 5 ⇒ 16(3) + 5 = 48 + 5 = 53
Red: 4x + 5 ⇒ 4(3) + 5 = 12 + 5 = 17
The answers are explained in the solution.
What is perimeter?The perimeter of an object is given by adding the side lengths of the object.
Given are two triangles, we need to find their perimeters and then the difference and the value of the perimeter when x = 3,
Blue:
P = 4x +2 +7x + 7+5x-4
= 16x +9-4 = 16x +5
Red:
P = x+3+2x - 5 + x + 7
= 4x + 10 - 5 = 4x + 5
Now,
The difference between the perimeter:
(16x + 5) - (4x + 5)
= 16x + 5 - 4x - 5
= 12x
The perimeter when x = 3
Blue: 16x + 5 ⇒ 16(3) + 5 = 48 + 5 = 53
Red: 4x + 5 ⇒ 4(3) + 5 = 12 + 5 = 17
Hence, the perimeters of the given triangle are 53 and 17 respectively.
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What is the true solution to the logarithmic equation below?
log₂ (6x)-log₂ (√x)=2
answer: x = [tex]\\ \frac{4}{9\\}[/tex]
[tex]log_{2}[/tex] (6x) - [tex]log_{2}[/tex] ([tex]\sqrt{x}[/tex]) = 2
expand the expression:
[tex]log_{2}[/tex](6x) = [tex]log_{2}[/tex] (6) + [tex]log_{2}[/tex] (x)[tex]log_{2}[/tex] ([tex]\sqrt{x}[/tex]) = [tex]log_{2}[/tex] ([tex]x^{\frac{1}{2} }[/tex])transform the expression:
[tex]log_{2}[/tex] ([tex]x^{\frac{1}{2} }[/tex]) = [tex]\frac{1}{2}[/tex] * [tex]log_{2}[/tex] (x)calculate the difference:
[tex]log_{2}[/tex] (x) - [tex]\frac{1}{2}[/tex] * [tex]log_{2}[/tex] (x) = [tex]\frac{1}{2}[/tex] * [tex]log_{2}[/tex] (x)multiply both sides by 2:
[tex]log_{2}[/tex] (6) + [tex]\frac{1}{2}[/tex] * [tex]log_{2}[/tex] (x) = 2 is now 2 [tex]log_{2}[/tex] (6) + [tex]log_{2}[/tex] (x) = 4transform the expression:
2 [tex]log_{2}[/tex] (6) = [tex]log_{2}[/tex] ([tex]6^{2}[/tex])simplify the expression:
[tex]log_{2}[/tex] ([tex]6^{2}[/tex]) + [tex]log_{2}[/tex] (x) = [tex]log_{2}[/tex] ([tex]6^{2} x[/tex])evaluate the power:
[tex]log_{2}[/tex] ([tex]6^{2} x[/tex]) = [tex]log_{2} (36x)[/tex]convert the logarithm into exponential form:
[tex]log_{2}(36x) = 4[/tex] is now [tex]36x = 2^{4}[/tex]evaluate the power:
[tex]2^{4} = 16[/tex]divide both sides by 36:
[tex]\frac{36}{36}[/tex] x = [tex]\frac{16}{36}[/tex] which is x = [tex]\frac{4}{9}[/tex]Which expression is equivalent to 6e+3(e-1)?
3e-2
3e-6
9e-1
9e-3
[tex]6e+3(e-1)\\\\=6e+3e-3\\\\=9e-3[/tex]
PLEASE HELP!!!
Kenneth brings a partially-filled beaker of red liquid into is his laboratory and uses an apparatus to add drops of blue liquid to the
beaker at a constant rate. The equation y = 5x + 15 describes the relationship between the number of minutes (x) since Kenneth
began adding drops of blue liquid to the beaker and the total amount of liquid in the beaker (y), in milliiters. Which statement
correctly describes a solution of the equation?
A. The total amount of liquid in the beaker after 1 minute is 5 milliliters,
O B.
The total amount of liquid in the beaker after 2 minutes is 25 milliliters.
O C. The total amount of liquid in the beaker after 5 minutes IS 15 milliliters.
O D. The total amount of liquid in the beaker after of 35 minutes is 4 milliliters.
Reset
Next Question
Answer: Is in the screenshot
Which statement best describes the graph of f(x+5)
A. The graph of f(c) is shifted up 5 units.
B. The graph of f(x) is shifted left 5 units.
C. The graph to f(x) is shifted right 5 units.
D. The graph of f(x) is shifted down 5 units.
Answer: B
Step-by-step explanation:
What is the total surface area for the figure shown below?
11
8
17
14
10
Urgent!! Please help!!
Answer:
1100/7
Step-by-step explanation:
Because, this is half circle then if we need the length of it we will use the circumference (2 x pie x r) x 1/2
CAN SOMEBODY HELP IM LOST WITH THIS THIS EQUATION
Answer:
1. C(d)=0.69x+25.95
2. C(d)=0.69(57)+25.95
[0.69 times 57 is 39.33]
= 65.28 dollars
3. 136.3 miles
Step-by-step explanation:
For the first question....
Since this is a function, we have to start with C(d). Even if you drive 0 miles, you still have to pay $25.95 just for renting the truck, so that is constant. For every mile you drive, you pay $0.69. Since we don't know how far anyone is going to drive, we will put 'x' as the amount of miles driven. The number of miles driven (x) multiplied by 0.69 will be the cost of that. The final function would be C(d)=0.69x+25.95.
For the second question....
We know the general function now, so driving 57 miles would mean substituting "x" for 57, and doing the multiplication (if necessary), 0.69 times 57 equals 39.33 (the dollar amount for driving 57 miles, not including the starting fee of 25.95)
Doing the math, you can get $65.28 (39.33+25.95).
For the third question...
If we have a budget, we know that C(d) is the amount of money spent, so we'll substitute the budget (120) for that. We'll solve the equation for x from there, and should get 136.3 miles (rounded to the nearest hundredth).
Hope this helps!
For the quadratic function f(x) = x2 + 6x +11:
a. Use the idea of completing the square to write it in graphing form.
Step-by-step explanation:
Make f(x) = 0
[tex] {x}^{2} + 6x + 11 = 0[/tex]
First, we move the constant term to the right hand side of the equality sign.[tex] {x}^{2} + 6x = - 11[/tex]
Then, we half the coefficient of x and square our result.[tex]( \frac{6}{2} ) ^{2} = 3 ^{2} = 9[/tex]
Now, we add the result to the both sides of the equation.[tex] {x}^{2} + 6x + 9 = - 11 + 9[/tex]
We can see that x²+6x+9 = (x+3)² {Try factorizing}Therefore,(x+3)²= -2
(x+3)²+2= 0
f(x)= (x+3)²+2
Which is the f(x) in graphing form.
Here is a right angled triangle work out the value of x using trigonometry
[tex]~~~~~\sin 30^{\circ} = \dfrac{\text{Perpendicular}}{\text{Hypotenuse} }\\\\\\\implies \dfrac 12 = \dfrac{8}x\\\\\\\implies x = 8\cdot2\\\\\\\implies x = 16 ~ \text{cm.}[/tex]
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
a=13m
Step-by-step explanation:
that's it in the picture
Answer:
[tex]\sf a=\boxed{13}\:cm[/tex]
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 31°O = aH = 25 m[tex]\implies \sf \sin(31^{\circ})=\dfrac{a}{25}[/tex]
[tex]\implies \sf a=25\sin(31^{\circ})[/tex]
[tex]\implies \sf a=12.87595187...\:cm[/tex]
Therefore, a = 13 cm (to the nearest whole number)
If a towns population currently at 50,000 experiences 5% growth every 10 years, what will its population be in 25 years
Answer:
56503
Step-by-step explanation:
this grows exponentialy so at the start it would be 50,000 growing by 5% every ten years. but since there is only 2 ten years in 25 years we must cut the percent in half making 2.5%
Step 1
(50,000×5%)+50,000= 52500
Step 2
(52500×5%)+52500= 55125
step 3
(55125×2.5%) +55125= 56503
Solve the equation on the
interval [0, 2pi).
3 sin x = sin x + 1
Answer:
π/6 , 7π/6
Step-by-step explanation:
3sinx = sinx + 1 ⇒ 2sinx = 1 ⇒ sinx = 1/2
At which value(s) of x does sinx equal 1/2?
x = arcsin(1/2) at π/6 and 5π/6
Sue is selling chocolate chip cookies for
$0.75 each. The more cookies she sells,
the more money she will receive.
Identify the independent variable.
A
Amount of money Sue receives
Number of cookies Sue sells
B
Answer:
B
Step-by-step explanation:
not really sure so yeah B
Mr Wong cuts a coil of wire into two pieces in the ratio 5 : 1 the length of the coil wire is 180. How long is the shorter piece of wire?
Answer:
30
Step-by-step explanation:
total length = 180 = (5 + 1) sections
shorter wire = 1 section = 30
Help please V/5 = 3/7 v=
Answer:
v = 15/7, or 2.14
Step-by-step explanation:
Find a common denominator, or multiply both denominators by each other, and well as the numerator.
v/5 = 3/7 can be written as 7v/35 = 15/35
multiplying both sides with 35, we are left with 7v = 15
v = 15/7, or 2.14
how to solve Need Answer asap
Answer:
50.97m^2
Step-by-step explanation:
Rectangle=32.66 m^2
Triangle=28.13 m^2
what percentage of 60 is 30
Step-by-step explanation:
[tex] \longmapsto\: \purple{hello \: mate }[/tex]
50 % of 60 is 30i,e
60×50/100
= 60 x 1/2
=30
Answer:
50%
Step-by-step explanation:
[tex]30\div 60\times 100[/tex]
[tex]\cfrac{1}{2}\times \:100[/tex]
[tex]\cfrac{1}{2}\times \cfrac{100}{1}[/tex]
[tex]\cfrac{1\times \:100}{2\times \:1}[/tex]
[tex]\cfrac{100}{2}[/tex]
[tex]50[/tex]
Which of the following is true of the composition F(G(H(X)))?
A. The function G(F(H(x))) depends on G(H(x)).
B. The function F(G(H(x))) depends on H(G(x)).
C. The function H(G(F(x))) depends on G(F(x)).
D. The function F(G(H(x))) depends on G(H(x)).
SUBMIT
Answer:
D. F(G(H(x))) depends on G(H(x))
Step-by-step explanation:
A function depends on its argument (the stuff in parentheses after the function name). The argument of function F in F(G(H(x))) is G(H(x)).
F(G(H(x))) depends on G(H(x))
__
Answer choices A and C do not make any statement about the given composition. Answer choice B shows a composition (H(G(x))) that has no relation to the argument of function F.
Answer: D. F(G(H(x))) depends on G(H(x))
Step-by-step explanation:
A website has both pictures and songs that are available for customers to download. Each picture has an average
size of 650 kilobytes. Each song has an average size of 2,200 kilobytes. On Thursday, a total of 16 files were
downloaded. A total of 18,150 kilobytes were downloaded.
Determine two equations that could be used to determine the number of pictures, x, and songs, y, that were
downloaded on Thursday.
The two equations that could be used to determine the number of pictures (x) and songs (y) is x + y = 16 and 650x + 2200y = 18150
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of pictures and y represent the number of songs, hence:
x + y = 16 (1)
And:
650x + 2200y = 18150 (2)
The two equations that could be used to determine the number of pictures (x) and songs (y) is x + y = 16 and 650x + 2200y = 18150
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Four hundred million in standard form
Answer:
Standard form of 400000000 (four hundred million) is 4 x [tex]10^{8}[/tex]
Step-by-step explanation:
Because there are 8 0s, and its 400 million
Hope this helps!
Can someone help me I’ve been stuck on this.
Leila will run less than 25 miles this week. So far, she has run 13 miles. What are the possible numbers of additional miles she will run?
Use t for the number of additional miles she will run.
Write your answer as aninequality solved for t.
Leila will run less than 25 miles this week. This means the inequality symbol will be this: "<". Since she has already ran 13 miles, we need to plug-in a variable for the additional miles she must run. The inequality should be like this when plugged-in: 25 < 13 + t.
The final answer to your question is 25 < 13 + t.
The first image for the question and the other image for the example please I want the correct answer.
Area of triangle = 1/2 x 11 x (3+4+3) = 55 cm²
Area of rectangle = 4 x 2 = 8 cm²
Area of shaded region = 55 - 8 = 47 cm²
Which choice is equivalent to the expression below?
(-8)-5
5
O A.
100
ОВ.
(H
O c. 40
O D. 85
Answer:
D?
sorry if i am incorrect.
What is value of 5 in 2 500.7 please will like it to see how is solved without explaining,am really confused
Answer:
If there is no space between 2 and 5 then 5 is in the hundredths place
Step-by-step explanation:
The Happy Widget Company has a fixed cost of $1,378 each day to run their factory and a variable cost of $1.83 for each widget they produce.
Create a linear model for their daily cost.
How much does it cost them to produce 267 widgets?
The linear model for the daily cost is C(x) = $1378 + $1.83(x).
The cost of producing 267 widgets is $1,866.61
What is the cost of producing 267 widgets?
Fixed cost is the cost the remains constant with the number of widgets produced. Variable cost increases with the number of widgets produced. Daily cost is the sum of fixed cost and variable cost.
Fixed cost = fixed cost + (variable cost x number of widgets)
C(x) = $1378 + $1.83(x).
C(x) = $1378 + $1.83(267) = $1,866.61
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
m A equal 14 the second one is 11
Step-by-step explanation: