Answer:
a. 18Step-by-step explanation:
(f+g)(4) = f(4) + g(4)
= 2(4) - 9 + 4² + 3
= 8 - 9 + 16 + 3
= -1 + 16 + 3
= 15 + 3
= 18
50 POINTS PLS HELP
The graph shows the quadratic function f(x).
What is the average rate of change for the quadratic function from x = 10 to x = 12?
I will give brainliest, and I need help fast.
Answer:
3
Step-by-step explanation:
find value at 12 =12
find value at 10 = 6
so it changes + 6 for a change from 10 to 12
6/2 = 3
need help will give brainlist
Answer:
It's the 2nd one 3y2-43y over 12y2
Step-by-step explanation:
First u do a common denominator u multiply on the first side by 6y on the second side by 4 then u solve it till u get 6y2-86y over 24y2 then simplify by dividing by 2
A die was rolled 40 times. The results of each roll is given in the table below. If the die is rolled
once more, find the experimental and theoretical probability for each result.
The experimental and theoretical probability for each result are:
Theoretical Experimental
P(5) 1/6 7/40
P( 1 or 6) 1/3 7/20
P(no more than 4) 2/3 21/40
P(greater than 2) 2/3 7/10
What is the probability?Probability determines the chances that an event would happen. Experimental probability is the probability of an event happening based on the result of an experiment that has been carried out multiples time.
Theoretical probabilities:
P(5) = number of sides with 5 / total number of sides = 1/6
P( 1 or 6) = number of sides with 1 / total number of sides + number of sides with 6 / total number of sides = 1/6 + 1/6 = 1/3
P(no more than 4) = number of sides that is no more than 4 / total number of sides = 4/6 = 2/3
P(greater than 2) = number of sides greater tha 2 / total number of sides = 4/6 = 2/3
Experimental probabilities:
P(5) = number of times there was a result of 5 / total number of times the die was rolled = 7/40
P( 1 or 6) = (number of times there was a result of 1 / total number of times the die was rolled) + (number of times there was a result of 6 / total number of times the die was rolled )
2/40 + 12/40 = 14/40 = 7/20
P(no more than 4) = sum of results no more than 4 / total number of times the die was rolled = ( 2 + 10 + 5 + 4) = 21/40
P(greater than 2) = sum of results greater than 2 / total number of times the die was rolled = (7 + 12 +5 + 4) / 40 = 28/40 = 14/20
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Below is the graph of equation y=|x+2|-1. Use this graph to find all values of x for the given values of y. y>0
For the given absolute value function, we have that:
y > 0 in the intervals (-∞, -3) and (-1, ∞)
y < 0 in the interval (-3, -1)
y = 0 for x = -3 and x = -1.
When the function is positive?
The function is positive when the graph is above the horizontal axis.
Here, we can see that the intervals where the graph is above the horizontal axis is are (-∞, -3) and (-1, ∞)
When the function is negative?
The function is negative when the graph is below the horizontal axis. In this case, we can see that the only negative interval is (-3, -1)
When the function is zero?
The function is equal to zero when it intercepts the x-axis, in this case, the function is zero for x = -3 and x = -1
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Ms. Rivera created two dot plots to compare the results of her recent science quiz for 1st period students compared to 7th period students. The dot plots are displayed to the right. Use this information to answer the questions below.
The dot plots is an illustration of charts and graphs
The average score of period 7 is greater than the average score of period 1
How to determine the period with the higher average?From the dot plots in the complete question, we have the following frequency tables
Period 1 Period 7
Score Students Score Students
55 1 65 1
70 1 75 3
75 6 80 5
80 6 85 6
85 2 90 3
90 3 95 2
95 1
The average is calculated using:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
For period 1, we have:
[tex]\bar x_1 = \frac{55 * 1 + 70 * 1 + 75 * 6 + 80 * 6 + 85 * 2 + 90 * 3 + 95 * 1}{1 + 1 + 6 + 6 + 2 + 3 + 1}[/tex]
Evaluate the sum
[tex]\bar x_1 = \frac{1590}{20}[/tex]
Evaluate the quotient
[tex]\bar x_1 = 79.5[/tex]
For period 7, we have:
[tex]\bar x_7 = \frac{65 * 1 + 75 * 3 + 80 * 5 + 85 * 6 + 90 * 3 + 95 * 2}{1 + 3 + 5 + 6 + 3 + 2}[/tex]
Evaluate the sum
[tex]\bar x_7 = \frac{1660}{20}[/tex]
Evaluate the quotient
[tex]\bar x_7 = 83[/tex]
By comparison, 83 is greater than 79.5
Hence, the average score of period 7 is greater than the average score of period 1
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If a parallelogram has dimensions of 44 cm and 66 cm, what is the perimeter in millimeters?
perimeter of paralleogram(p) = 2 ( a + b ) = 2 ( 44 + 66) = 2 × 110 = 220 cm = 220 × 10 = 2200 millimeter
1/7 divided by 3
Is it 1/3 or 1/2 im so confuse
[tex] \frac{1}{7} \div 3[/tex]
solution:[tex] \frac{1}{7} \div \frac{3}{1} [/tex]
[tex] \frac{1 \times 1}{7 \times 3} [/tex]
[tex] = \frac{1}{21} [/tex]
Are my answer correct? If not explain why.
Answer:
Step-by-step explanation:
a)
First I will calculate the equation of the line that goes trough the points
C (0, 0) and (-4, 3).
y= mx + b
y = [(3-0)/ (-4 -0) ] x + 0
y = (-3/4)x →the slope of tis line is (-3/4)
The slope of line l is the negative reciprocal of (-3/4) the slop of line that goes trough points C (0, 0) and (-4, 3) because the lines are ⊥.
Slope of line l is 4/3
b)
The equation of l is
y= (4/3)x + b
for point (x= -4, y = 3) that belongs to the line l, we have
3 = (4/3) (-4) + b
3 = (-16/3) + b
3 + (16/3) = b
(9+16)/3 = b
25/3 = b
The equation of the line l in slope intercept form is :
y = (4/3)x + (25/3)
c)
The radius of circle C is the distance between C (0, 0) and (-4, 3).
d² = (x2-x1)² +(y2-y2)²
d = √(-4-0)² +(3-0)²
d = √16+ 9
d = 5 → the radius of the circle C is 5
d)
Line l intersects the y-axis at (25/3) as we previously found out.
The radius is 5.
...therefore the distance between the line l's y-intercept and the circumference of the circle is
(25/3 ) - 5 = (25 - 5·3)/3 = 10/3
What is the answer to −(3x−9)
Paloma eats 2 /8 of an apple in the morning and 3/ 8 more in the afternoon. How much of the apple did she eat in total?
Answer:
5/8
Step-by-step explanation:
2/8 + 3/8 is 5/8
Answer:
5/8
Step-by-step explanation:
With like denominators we can operate on just the numerators:
[tex]\frac{2+3}{9}[/tex]
=[tex]\frac{5}{8}[/tex]
solve for x - 10 = x-7/3
Answer:
no solution
Step-by-step explanation:
x - 10 = x - 7/3
cancel the terms on both sides
-10 = -7/3
statement is false
no solution
¿Cual es la medida de < X?
Answer:
49°
Step-by-step explanation:
∠XOZ = 90°
∠XOV = 41°
90 - 41 = x°
49 = x°
If one turn consists of spinning each spinner once, which table shows all the possible outcomes for one turn?
Answer:
i think it's c
Step-by-step explanation:
sorry if I'm wrong
100 POINTS AND BRAINLIEST TO WHOEVER SOLVES IT
The edge length, s, of a regular tetrahedron is approximately given by , where V is the volume of the terahedron. Use a graphing calculator to graph the function. Estimate the volume of a regular tetrhedron with an edge length of 4 inches.
Volume of a tetrahedron with edge s
[tex]\\ \rm\Rrightarrow V=\dfrac{s^3}{6\sqrt{2}}[/tex]
According to question
s=4in[tex]\\ \rm\Rrightarrow V=\dfrac{4^3}{6\sqrt{2}}[/tex]
[tex]\\ \rm\Rrightarrow V=\dfrac{64}{6\sqrt{2}}[/tex]
[tex]\\ \rm\Rrightarrow V=\dfrac{32}{3\sqrt{2}}[/tex]
[tex]\\ \rm\Rrightarrow V=\dfrac{32}{4.2426406871192}[/tex]
[tex]\\ \rm\Rrightarrow V\approx 7.5425in^3[/tex]
Answer:
See below ~
Step-by-step explanation:
Volume of a tetrahedon
V = s³ / 6√2s = edge lengthSolving for V
V = (4)³ / 6√2V = 64 / 6√2V = 32 / 3√2V = 32√2 / 6V = 16√2 / 3V = 7.54 cubic inchesGraph
please help me
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
What is the probability of getting exactly one head?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
3/8
Step-by-step explanation:
HHT,THH, and TTH are the 3 outcomes with 1 head out of 8 total outcomes
is there any bias in the following survey question explain. So you prefer delicious chocolate ice cream or boring ice cream?
Answer:
yes, contains bias
Step-by-step explanation:
surveyor included their own opinions on chocolate ice cream being delicious and vanilla ice cream being boring.
I NEED HELP QUICK!!!!
Answer:
45 miles
Step-by-step explanation:
Giving Information.
From Northville To Newberry is 18 inches.
2 in -> 5 miles
The inches cancel each other out leaving it miles.
[tex]18 inches*\frac{5 miles}{2 inches} = 45 miles[/tex]
Answer: 45 miles.
Step-by-step explanation: 2 in -> 5 miles, 18 inches.
PLEASE FAST!!!! WILL GIVE BRAINLIEST!!!
Answer:
its B , 4 11/20
Step-by-step explanation:
Answer:
The 2nd Answer Choice
Step-by-step explanation:
You make sure that the fractions have the same denominator, and then you subtract them.
What is the area of the figure below?
3 5/6in 6in
Answer:
120
Step-by-step explanation:
Find the probability that x > 5
Answer:
The probability of x ≥ 5 is.05Step-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧The table below represents the metric volume measure of a liter with each amount represented as a power of 10. a 2-column table with 5 rows. column 1 is labeled unit with entries centiliter, liter, hectoliter, kiloliter, megaliter. column 2 is labeled power of 10 with entries 10 superscript negative 2, 10 superscript 0, 10 squared, 10 cubed, 10 superscript 6. the work shows that a megaliter is 10,000 times larger than a hectoliter. 106 102 = 104 = 10,000 the of the original exponent is the exponent in the power of quotient. the kiloliter is 103 times greater than a . the hectoliter is times greater than centiliter.
A megaliter is 10,000 times larger than a hectoliter.
The kiloliter is 10^3 times greater than a liter while the hectoliter is 10^4 times greater than the centiliter.
What is an equation?An equation is an expression that shows the relationship between two or more variables.
1 mega liter = 10^6 Liter
1 hectoliter = 10^2 Liter.
Hence, a megaliter is 10,000 (10^6/10^2) times larger than a hectoliter
The kiloliter is 10^3 times greater than a liter while the hectoliter is 10^4 times greater than the centiliter.
Uncle Reynald's age is given by the expression 3(12 + 5) - 4.
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Answer:
the first one is diffrence
2nd one is liter
3rd one 10,000
Step-by-step explanation:
Which function has the greatest maximum y-value?
A) f(x)
B) g(x)
C) h(x)
D) AIl three functions have the same maximum y-value.
Answer:
g(x)
Step-by-step explanation:
y-intersect for h(x) is -11 as shown in the table, where the x value is 0
y-intersect for f(x) you find out by subbing 0 in the place of x and get the y intersect value of 2.99
y-intersect of g(x) is 3 as shown in the drawing
as seen across the three y-intersects, the value of g(x) y-intesect is the greatest
2 ( x - 8 ) + 2 ( 12 ) how do i solve it?
Collect like terms
3
x
2
+
x
+
2
x
2
Answer:
x+10
Step-by-step explanation:
Let (20, 48) be a point on the terminal side of an angle ϴ in standard position. Evaluate the six trigonometric functions of ϴ .
The six trigonometric functions related to (x, y) = (20, 48): sin θ = 12/13, cos θ = 5/13, tan θ = 12/5, cot θ = 5/12, sec θ = 13/5, csc θ = 13/12.
How to determine the six trigonometric functions from coordinates in rectangular form
Given the coordinates in rectangular form, that is, (x, y), where each component belongs to an orthogonal axis of reference. By trigonometry we have six functions to be calculated:
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex] (3)
[tex]\cot \theta = \frac{1}{\tan \theta}[/tex] (4)
[tex]\sec \theta = \frac{1}{\cos \theta}[/tex] (5)
[tex]\csc \theta = \frac{1}{\sin \theta}[/tex] (6)
If we know that x = 20 and y = 48, then the six trigonometric functions are, respectively:
[tex]\sin \theta = \frac{48}{\sqrt{20^{2}+48^{2}}}[/tex]
[tex]\sin \theta = \frac{12}{13}[/tex]
[tex]\cos \theta = \frac{20}{\sqrt{20^{2}+48^{2}}}[/tex]
[tex]\cos \theta = \frac{5}{13}[/tex]
[tex]\tan \theta = \frac{12}{5}[/tex]
[tex]\cot \theta = \frac{5}{12}[/tex]
[tex]\sec \theta = \frac{13}{5}[/tex]
[tex]\csc \theta = \frac{13}{12}[/tex]
The six trigonometric functions related to (x, y) = (20, 48): sin θ = 12/13, cos θ = 5/13, tan θ = 12/5, cot θ = 5/12, sec θ = 13/5, csc θ = 13/12. [tex]\blacksquare[/tex]
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A group of friends were working on a student film that had a budget of $1500. They
used $780 of their budget on costumes. What percentage of their total budget did
they spend on costumes?
Answer: 52 %
Step-by-step explanation: 780/1500 × 1100/1
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
780/1500 x 100 = 52%
The percentage of the amount spent on customs is 52%
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total budget = $1500
Amount spend on costumes = $780
The percentage of the amount spend on customs.
= 780/1500 x 100
= 52%
Thus,
The percentage of the amount spent on customs is 52%
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PLEASE HELP ASAP!!!!!!!!
Answer:
The answer is 6 rides that cost $26.
Step-by-step explanation:
Plan A: $20 plus $1 per ride.
Plan B: $8 plus $3 per ride.
Turn that into a linear equation to graph.
Plan A: [tex]y=1x + 20[/tex]
Plan B: [tex]y=3x + 8[/tex]
The x-axis is rides and the y-axis is $.
On the graph appears that it takes 6 rides for Plan A and B to be the same a cost of $26.
Shanovia drew a card from a standard deck of 52 playing cards. What is the probability Shanovia drew 1 of
the 4 aces?
Answer:
1/13
Step-by-step explanation:
There are 4 aces in the 52-card deck so prob = 4/52 = 1/13
Melissa weighed 14 packages. Their mean weight was 3 pounds. What was the total weight of the 14 packages?
pounds
The total weight of the 14 packages that Melissa weighed is gotten as; Total weight = 42 pounds
How to calculate mean?We are given;
Mean weight = 3
Now,formula for mean is;
Mean = total/sample size
We are given;
Sample size = 14
Thus;
3 = total/14
Total = 3 * 14
Total weight = 42 pounds
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Hugo received $100 dollars for
birthday which he uses to make an initial deposit in
a saving account. He gets an allowance of $20 per week which he deposits in his savin
account. Write an equation to represent the balance of his saving account over time.
Which amount represents the slope?
Which amount represents the y-intercept?
The equation would be written as:
y=
vx+
The x in this equation represents:
The y in this equation represents
Answer:
i believe its 100*20x
Step-by-step explanation:
please no h8 i tried