Answer:
16
Step-by-step explanation:
Given expression:
f(x) = 4 [tex](\frac{1}{2} )^{-x}[/tex]
Now we are to find f(2);
To find f(2) we are to substitute 2 for any place where we find x;
f(2) = 4 [tex](\frac{1}{2} )^{-2}[/tex]
f(2) = 4 x [tex]\frac{1}{(\frac{1}{2})^{2} }[/tex]
f(2) = 4 x [tex]\frac{1}{\frac{1}{4} }[/tex]
f(2) = 4 x 4 = 16
Choose the mathematical sentence that most accurately expresses the
information in the problem, and would be most helpful in solving it.
After taking 4 pieces of fruit out of a bag, 12 pieces of fruit remained. How
many pieces of fruit were in the bag to start?
A. f: 4 = 12
B. 12 - 4 = f
C. 12 : f= 4
D. f-4 = 12
E. 4 + f = 12
F. 12 + f = 4
Answer:
D. f-4=12
Step-by-step explanation:
total fruits (f)
took 4
12 remained
taken + remainder = initial total
4 + 12 = f
f = 12 -4
If A is the incenter of triangle CDE, find each measure.
a) mZDCE
b) m CDE
c) mzDAE
PLEASE HELP FOR GEOMETRY
9514 1404 393
Answer:
m∠DCE = 58°
m∠CDE = 74°
m∠DAE = 119°
Step-by-step explanation:
The incenter is the point of intersection of the angle bisectors. The angles on either side of the bisector have the same measure. Of course, the sum of angles in a triangle is 180°.
m∠DCE = 2×29° = 58°
m∠CDE = 180° -58° -2×24° = 74°
m∠DAE = 180° -74°/2 -24° = 119°
An article reported on a school district's magnet school programs. Of the qualified applicants, were accepted, were waitlisted, and were turned away for lack of space. Find the relative frequency for each decision made and write a sentence summarizing the results.
Answer:
Step-by-step explanation:
Is there a chart to go by?
Ieep doing this one wrong can someone tell me what it is? Please
Answer:
1.64 inches or about 1.6 inch
Step-by-step explanation:
The big skittle is 5.5 by 3 and the smaller one is 3 by ? which can be written out like [tex]\frac{5.5}{3}[/tex]=[tex]\frac{3}{?}[/tex] since the skittles proportional then ? = [tex]\frac{3times3}{5.5}[/tex]= 1.636363636...
so it's about 1.64
A gas station sells unleaded regular and unleaded premium gasoline. The price per gallon charged by the station is$1.299 for unleaded regular and $1.379 for unleaded premium. The cost per gallon from supplier is$1.219 for unleaded regular and $1.289 for unleaded premium. If equals the number of gallons sold of regular and equals the number of gallons sold of premium:(a) Formulate the revenue function from selling and gallons of the two grades of gasoline respectively?(b) Formulate total cost for purchasing and gallons?(c) Formulate the total profit? d) what is the total profit expected to equal if the station sells 100,000 gallons of unleaded and regular and 40000 of unleaded premuim?
Answer:
a) Revenue function = 1.299r + 1.379p
where: r = gallon of unleaded regular gasoline and p = gallon of regular unleaded premium gasoline
b) cost function = 1.219f + 1.289p
c) profit function = (1.299r + 1.379p) - (1.219f + 1.289p) = 1.299r - 1.219r + 1.379p - 1.289p = 0.08p + 0.09p
d) total profit = (0.08 x 100,000) + (0.09 x 40,000) = $8,000 + $3,600 = $11,600
what is the speed of a jet plane that travels 528 m in four seconds
Answer: 132 m/s
Step-by-step explanation:
Also known as "fast"
Answer: 132m/s
Step-by-step explanation:
Use the formula: speed = distance/time
Plug in your numbers: speed = 528/4
Solve: speed = 132m/s
In ΔNOP, \text{m}\angle N = (5x-8)^{\circ}m∠N=(5x−8) ∘ , \text{m}\angle O = (x-5)^{\circ}m∠O=(x−5) ∘ , and \text{m}\angle P = (6x+1)^{\circ}m∠P=(6x+1) ∘ . Find \text{m}\angle O.m∠O.
Answer: m<O = 11
Step-by-step explanation: you add angle N, O, and P to equal to 180° and when you solve that equation you get 11. Hopes this helps love u ❤️
The measure of angle O from the given triangle is 9°.
Given that, m∠N=(5x-8)°, m∠O=(x-5)° and m∠P=(6x+1)°.
We need to find the measure of angle O.
What is the angle sum property of a triangle?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Now, m∠N+m∠O+m∠P=180°
⇒ (5x-8)°+(x-5)°+(6x+1)°=180°
⇒ 5x+x+6x-8-5+1=180
⇒ 12x-12=180
⇒ 12x=192
⇒ x=192/12
⇒ x=16
So, m∠O = 16-5=9
Therefore, the measure of angle O from the given triangle is 9°.
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i'll mark you as brainliest
Answer:
the answer is 6
Step-by-step explanation:
(50 points) Suppose the light pattern from a fog light can be modeled by the equation x^2/25 - y^2/9=1. One of the points on the graph of this equation is at (6, 3 sqrt 11/5), and one of the x-intercepts is -5. Which coordinate is not a point on the graph?
Answer:
Both points are on the graphStep-by-step explanation:
Given function
x^2/25 - y^2/9 = 1To find
Check if given points are on the graph (6, 3 sqrt 11/5) and (-5, 0)Solution
Verifying the points are on the line by substituting values of x and y:
1.............................
6^2/25 - (3√11/5)²/9 = 136/25 - 11/25 = 125/25 = 11 = 1Correct2.............................
(-5)^2/25 - 0^2/9 = 125/25 - 0 = 11- 0 = 11 = 1CorrectAnswer:
B
Step-by-step explanation:
Edge 2021
in the given figure ab parallel cd find the value of x
Step-by-step explanation: x = 73°
Draw PQ through E and parallel to AB, CD
Have x = ∠QED + ∠QEB
because PQ // CD => ∠QED = 50°
AB // PQ => ∠QEB + 157° = 180°
=> ∠QEB = 180 - 157 = 23°
=> x = 23° + 50° = 73°
( PQ is in the same direction as AB and CD )
angle efd = 130
180-50=130
angle ahe =23
180-157= 23
draw a imaginary line from h to f
this will create a triangle
now angle hfc = 90
90-50=40
now angle hfe =
90 - 23 = 67
therefore ,
x =
67+40+x=180
107 + x = 180
x = 180-107
x=73
What type of relationship does there appear to be between price of gas and number of hybrid cars sold?
A) no relationship
B) quadratic relationship
C) exponential relationship
D) positive linear relationship
Answer: C. Exponential relationship!
Step-by-step explanation:
Option C is correct, exponential relationship is the type of relationship does there appear to be between price of gas and number of hybrid cars sold
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
We have to tell the type of relationship does there appear to be between price of gas and number of hybrid cars sold
There appears to be a Exponential relationship between the price of gas and the number of hybrid cars sold.
As the price of gas increases, the demand for hybrid cars tends to increase, and as the price of gas decreases, the demand for hybrid cars tends to decrease.
Exponential relationship is the type of relationship does there appear to be between price of gas and number of hybrid cars sold.
Hence, Option C is correct, exponential relationship is the type of relationship does there appear to be between price of gas and number of hybrid cars sold.
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Select all that apply.
Which of the following are true?
Fractions and ratlos cannot have zero in the denominator.
Fractions and ratios can be simplified the same way.
Fractions and ratlos are different names for the same thing.
Some fractions and ratlos can be written as mixed numbers.
Answer:
A and D are the correct answers
Answer:
First, second and fourth are correct;
The third might be correct since fractions and ratios can often represent the same information in different ways and in some cases even in the same way, but this may not always be true.
Charles Beaudry sells computer hardware for a computer firm. He is paid 4 percent commission on the first $8,000 of sales, 6 percent on the next $10,000 of sales, and 8 percent on sales over $18,000. What is his commission of $21,278 in sales?
As i don't want this to be to long
We break it down so
$8000 x 4% = $320
$10000 x 6% = $600
$8000 + $10000 = $18000
$24550-$18000 = $6550 x 8% = $524
Final answer
$320+$600+$524 = $1,444
Select the graph that represents the correct answer to the equation.
5y = 3x - 5
Answer:
The second one.
Step-by-step explanation:
Hence, as per the graph image option (B) is correct.
What is an equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here the given equation is
[tex]5y=3x-5\\y=\frac{3x}{5}-1[/tex]
Put [tex]x=0[/tex]
[tex]y=-1[/tex]
Put [tex]x=-1[/tex]
[tex]x=\frac{-3}{5}-1\\x=\frac{-3-5}{5}\\x=\frac{-8}{5}\\x=-1.6[/tex]
Put [tex]x=1[/tex]
[tex]x=\frac{3}{5}-1\\x=\frac{3-5}{5}\\x=\frac{-2}{5}\\x=-0.4[/tex]
Draw the graph
Hence, as per the graph image option (B) is correct.
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Kellan just spent $45 on chocolate bars. If he purchased 60 chocolate bars, how much did each one cost?
Round to the nearest hundredth.
Answer:
0.75
Step-by-step explanation:
The pie chart shows information about visitors to restaurants in a town. 375 people had fish and chips. How many people had pizza?
Answer:
15
Step-by-step explanation:
challenge: if you can answer these you are genius
(4 x 6) x 2 =
8 x (7 x 3) =
(10 x 5) x 8 =
(9 x 2) x 7 =
(6 x 1) x 8 =
(7 x 11) x 2 =
5 x (9 x 6) =
4 x (12 x 3) =
Answer:
1. 48
2. 168
3. 400
4. 126
5. 48
6. 154
7. 270
x-6y + 4-12
x+y- 43 12
2+2y +5-13
Solve using substitution
Answer:
x-6y-8
x+y-4312
2y-6
Answer:
x-6y-8
X+y-4312
2y-6
Step-by-step explanation:
given
X-6y + 4-12
x+y- 43 12
2+2y +5-13
Solution
x-6y-8
X+y-4312
2y-6
If a pair of shoes was 25% off and the original price was $80 how much is the amount of the discount?
The amount of the discount would be 20 Dollars
Graph the line that passes through the point (4,1) and is parallel to the line y= 1/2x + 6
please :)
Please help me with this problem!!! I have been trying to figure it out for the past hour and I still can’t figure it out. Thanks for your help and have a nice day!!!
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[tex] \frac{ {6}^{8} \times {6}^{3} }{ {6}^{5} } = \\ [/tex]
[tex] \frac{ {6}^{8 + 3} }{ {6}^{5} } = \\ [/tex]
[tex] \frac{ {6}^{11} }{ {6}^{5} } = \\ [/tex]
[tex] {6}^{11} \times {6}^{ - 5} = [/tex]
[tex] {6}^{11 - 5} = [/tex]
[tex] {6}^{6} [/tex]
Thus ;
[tex] {6}^{[6]} \\ [/tex]
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What is the value of x?
Answer:
x = 7
Step-by-step explanation:
all triangles add up to 180
(90 from the right angle)
90 + (4x) + (5x +27) = 180
117 + 9x = 180
-117 - 117
9x = 63
x = 63/9
x = 7
Answer:
x = 7
Step-by-step explanation:
All triangles add up to 180, and (90 from the right angle)
90 + (4x) + (5x +27) = 180
117 + 9x = 180
-117 - 117
9x = 63
x = 63/9
Therefore, x = 7
Find the direction of AB where A(3,0) and B(4,1).
Answer:
Required Answer:-A (3,0)B (4,1)[tex]{:}\longrightarrow[/tex][tex]\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {(4-1)^2+(1-0)^2}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {(3)^2+(1)^2}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf \sqrt {9+1}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf AB=\sqrt {10}[/tex]
Which pair of lines are perpendicular?
A. x - y = 7 and y = x + 3
B. y = -4x + 1 and 8x + 2y = -10
C. y = -8 and y = 2
D. x = 4 and y = -1
Solve for x. Round your answer to two decimal places. Show your work for full credit.
Answer:
x ≈ 14.30
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesTrigonometry
sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define variables
∅ = 39°
opposite leg = 9
hypotenuse = x
Step 2: Solve for x
Substitute: sin39° = 9/xMultiply x on both sides: xsin39° = 9Isolate x: x = 9/sin39°Evaluate: x = 14.3011Round: x ≈ 14.30A forest has a large number of tall trees. The heights of the trees are normally distributed with a mean of 78 metres and a standard deviation of 9 metres.
Sketch and label a normal curve that represents the heights of trees.
Each vertical line is a standard deviation, which is given as 9 meters. The middle line would be the mean, which is given as 78 meters.
See attached picture:
Tommy bought a total of 30 apples and oranges for a classic picnic. Apple's cost $3 per pound and oranges cost $4 per pound. Tommy spent $100 total. How many apples and oranges did Tommy buy?
Answer:
20 apples and 10 orangesStep-by-step explanation:
Let amount of apples be x and oranges be y
Then we have:
x + y = 303x + 4y = 100Subtract triple of the first equation from the second one:
3x + 4y - 3(x + y) = 100 - 3*303x - 3x + 4y - 3y - 10y = 10Then finding x
x = 30 - 10 = 20So apples = 20, Oranges = 10
Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes
Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes
Answer:
What graph
The time taken by the shipping company to pack 180 boxes is 15 hours.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
The given graph is the direct relation and has a constant proportion as,
Book packed/hour = 60/5 = 12
With this constant of proportionality,
For 180 boxes,
180/hour = 12
Hour = 15
Hence "It takes the shipping business 15 hours to pack 180 cartons".
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Missing data shown below,
Espress the following in standard form 24.12
Anyone understand this