Answer:
60%
Step-by-step explanation:
If you look through the data, it is clear that 46, 59, 63, 68, 72, 76, 78, 85, and 89 are all less than 90. There are 9 elements total that are less than 90.
For percentages, you take the number you have and divide by the total. Since we know that there are 15 students, we can do 9 / 15. This gives us 0.6 which is 60%
the square root of 8 divided by the square root of 3n^3
Answer:
First, evaluate 3^3
3^3 means three times itself three times.
[tex]3 * 3 * 3 = 27[/tex]
[tex]\sqrt{27} = 5.19[/tex]
Next, square root eight.
[tex]\sqrt{8} = 2.82[/tex]
Now, divide the two numbers.
[tex]5.19 / 2.82 = 1.84[/tex] if needed, include full form: 1.840425531914894
(3n)³ = 27
= 27√8 = 2.82
= 27√8 = 2.82√27 = 5.19
5.19/2.82 = 1.84
Here is your answer buddy..
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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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
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)
You pick a card from a shuffled pack and draw a king. You put it back in the pack, shuffle, and then pick another card. This time you draw a queen. How are the two events of picking a king and picking a queen related?
Answer:
The two events are independent
Step-by-step explanation:
Since the king was placed back in the deck and the deck was re-shuffled,
the drawing of a king does not effect the probability of subsequently drawing a queen.
The probability of picking the queen is independent of the probability of picking the king.
pick a card from a shuffled pack and draw a king. You put it back in the pack, shuffle, and then pick another card. This time you draw a queen. How are the two events of picking a king and picking a queen related to be justified
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
There is a 52-card deck.
Pick a card from a shuffled pack and draw a king. You put it back in the pack, shuffle,
Probability can be given as for the draw of the king,
p = 1/52
Put it back in the pack, shuffle, and then pick another card. This time you draw a queen.
Probability can be given as for the draw of the queen,
p = 1/52
Since both probabilities is the same it implies the probability of one event is independent of the other.
Thus, the probability of picking the queen is independent of the probability of picking the king.
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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
Find out more on equation at: https://brainly.com/question/2972832
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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!
Flight A left Las Vegas headed to San Diego traveling at 460 mph. At the same time, Flight B leaves San Diego headed to
Las Vegas traveling at 500 mph. If the two cities are 331 miles apart, what time,t, should
the alr?
the flights pass each other In the air
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.
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.
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
Given that f(x)=2x-3 find f-1(7)
Answer:
[tex]\displaystyle \large{f^{-1}(7)=5}[/tex]
Step-by-step explanation:
Given:
[tex]\displaystyle \large{f(x)=2x-3}[/tex]
To find:
[tex]\displaystyle \large{f^{-1}(7)}[/tex]
Inverse Function Definition:
A function that swaps domain to range and range to domain is called an inverse function.Notation Definition (Example - Exponential Function and Logarithm are Inverse to each other.)
[tex]\displaystyle \large{f(x) = \{(x,y) \in \mathbb{R} \times \mathbb{R^{+}} \ | \ y=a^x, a\neq 1, a > 0 \}}\\\displaystyle \large{f^{-1}(x) = \{(x,y) \in \mathbb{R^{+}} \times \mathbb{R} \ | \ y=\log_a x, a\neq 1, a > 0 \}}[/tex]
Notice that both functions have swapped domain and range. Domain is set of all x-values while range is set of all y-values.
Inverse Property:
Inverse of Inverse Function will convert itself back to original f(x) function.Back to the question, first, we have to find an inverse of linear function. We can do by swapping x and y [f(x)] variables.
[tex]\displaystyle \large{f(x)=2x-3 \to x=2f(x)-3}[/tex]
Solve for f(x):
[tex]\displaystyle \large{x=2f(x)-3}\\\displaystyle \large{x+3=2f(x)}\\\displaystyle \large{f(x)=\dfrac{x+3}{2}}\\\therefore \displaystyle \large{f^{-1}(x)=\dfrac{x+3}{2}}[/tex]
Therefore, the inverse is (x+3)/2. Next, we find [tex]\displaystyle \large{f^{-1}(7)}[/tex] which we can do by simply substituting x = 7 in the inverse.
[tex]\displaystyle \large{f^{-1}(7)=\dfrac{7+3}{2}}\\\displaystyle \large{f^{-1}(7)=\dfrac{10}{2}}\\\displaystyle \large{f^{-1}(7)=5}[/tex]
Therefore, the answer is 5.
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:
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!
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
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
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
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.
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Next Question
Answer: Is in the screenshot
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]
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.
What is the total surface area for the figure shown below?
11
8
17
14
10
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]
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:
Which is the dependent variable in the following situation?
"The teacher ordered two binders for each student."
Answer:
C number of binders because the teacher would have to order binders depending on how many students there are.
Step-by-step explanation:
the diameter of a circle is 24 centimeters. what is the circles area? use 3.14 for pi
Answer:
452.16
Step-by-step explanation:
di is twice the radius and to get area you need radius so 24/2=12
now insert 12 into the formula 12^2*3.14 now use pemdas
12^2=144
144*3.14
452.16
Answer:
Area of circle = 452.16
Step-by-step explanation:
Conversion of diameter into radius,
→ r = 24/2
→ [ r = 12 ]
Formula we use,
→ Area = π × r²
Now the area of circle will be,
→ π × r²
→ 3.14 × (12)²
→ 3.14 × 144
→ 452.16
Hence, area of circle is 452.16.
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
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]
Timmy has a square backyard with a width of (2x-5). he wants to lay new sod. what is the area of his yard?
Answer:
[tex] {4x}^{2} - 20x + 25[/tex]
Step-by-step explanation:
[tex] {(2x - 5)}^{2} = {(2x)}^{2} - 2(2x)(5) + {5}^{2} = 4 {x}^{2} - 20x + 25[/tex]
I'm going to need help with this question screenshot of it is down below
Answer:
first choice
Step-by-step explanation:
First, observe the axis.
The graph has labeled:
vertical axe as h (hight) and
horizontal axe as t (time).
Second, observe on the graph that the object is dropped from the height 120 feet because at the point t = 0 (when the drop did not start yet) the height is h = 120.
→We can eliminate the last choice that said "object is dropped from -16 feet"
Third, the equations for the hight of the object after t seconds are when the object is dropped from 120 feet are:
h(t) = -16t² + 120
if t= 0 then hight should be 120
h(t) = -16·0² + 120 = 120 ✅
and
h(t) = -16t² - 120
if t= 0 then hight should be 120
h(t) = -16·0² - 120 = - 120 ❌
→Eliminate the second choice that said at t=0 , h(t) = -120
→The first choice is the correct one
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