y=1/2x+1
how do i graph this?
Answer: Heyaa! ~
Graph the line using the slope and y-intercept, or two points.
Slope:
1/2
y-intercept: (0,1)
x ↓ y
0 ↓ 1
2 ↓ 2
Step-by-step explanation:
Hopefully this helps you! ~
Answer:
Use the Desmos graphing calculator. Look up "graphing calculator" and hit the Desmos option, then type in your equation. It works.
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Three faces of a rectangular prism have areas 32 cm?, 40 cm?, and 20 cm? a) find the surface area of the prism. b) what are possible dimensions of the prism? how do you know? c) sketch and label the prism.
Answer:
Surface Area: 5440
Step-by-step explanation:
Volume: 25600
Surface Area: 5440
Work Volume
V = lwh
V = (32)(40)(20)
V = 25600
Work Surface Area
A = 2(wh + lw + lh)
A = 2( 40(20) + 32(40) + 32(20) )
A = 2(800 + 1280 + 640)
A = 2(2720)
A = 5440
The diagonal : 54.99
I need an answer to this:
Answer:
It will decrease cause there will be more deer. Deer eat blackberry bushes
Step-by-step explanation:
Answer:
It will decrease because there will be more deer
Step-by-step explanation:
Because of the lack of wolves, the deer population would increase. Since it would increase the amount of deer there would be less of the deer's food sources.
Evaluate 2(5a – 2) a=3
Please solve
Answer:
26
Step-by-step explanation:
a=3
2(5x3-2)
5x3=15
15-2=13
2x13=26
cant solve x+4y=0
3x+2y=20
Answer:
The answer to this question is -2.
Step-by-step explanation:
First, multiply one of the equations by something that can cancel out the other variable.
3x+2y=20
3(x+4y=0)
3x+2y=20
3x+12y=0
Now, subtract both equations.
-10y=20
Now, divide both sides by -10.
y=-2
Hope this helps!
PLEASE HELP!!!!
y = 1.4 (1.02)
a =
b=
r(as a percentage)
Answer:
a = 1.4 then b = (1+0.02) and r = 2%
What is the equation for an arithmetic sequence with a first term of 7 and a second term of 3? (5 points)
an = 7 − 4(n − 1)
an = 7 + 4(n − 1)
an = 7 − 3(n − 1)
an = 7 + 3(n − 1)
Answer:
1st option
Step-by-step explanation:
the equation for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 7 and d = a₂ - a₁ = 3 - 7 = - 4 , then
[tex]a_{n}[/tex] = 7 - 4(n - 1)
Answer:
The answer is option A
Step-by-step explanation:
The solution is in the image
Tim tried to use Cavalieri's principle to show that the two figures have the same volume.
"The base areas are the same. Therefore, corresponding cross-sections have the same area. So the volumes must be the same."
What is the first mistake Tim made?
Answer:
The base areas aren't same
Step-by-step explanation:
The base areas arent same
Answer:
He did not establish that heights are the same.
This dot plot shows the number of runs scored by the Yellow
Jackets in their last 12 baseball games.
a basket contains a supply of marbles of 4 different colors. marbles with the same color are assumed to be identical. in how many ways can you choose 6 marbles from the basket
For the basket with 4 different types of marbles, there are 4,096 combinations in which we can select 6 marbles (in order).
in how many ways can you choose 6 marbles from the basket?Here we need to identify the number of selections. We have 6 selections (assuming that order matters).
Marble 1:Marble 2:Marble 3:Marble 4:Marble 5:Marble 6:Now we need to find the number of options for each of these. We know that there are 4 different colors of marbles, then for each selection, we have 4 options:
Marble 1: 4 optionsMarble 2: 4 optionsMarble 3: 4 optionsMarble 4: 4 optionsMarble 5: 4 optionsMarble 6: 4 optionsThe total number of combinations is given by the product between the numbers of options, so we have:
C = 4*4*4*4*4*4 = 4,096 combinations.
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Out of all 252 twelfth graders, how many rode in a car to school? 11 74 111 114
Out of all 252 twelfth graders, 114 rode in a car to school
How to determine the number of students?The proportion of students that rode in a car is given as:
p = 45.24%
So, the number of students that rode in a car is:
Students = 45.24% * 252
Evaluate the product
Students = 114.008
Approximate
Student = 114
Hence, 114 rode in a car to school
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What is the value of x in the equation : sin 40 = cos (x)
Two sets of data are each symmetrical and do not contain outliers. Which measures of center and
variability would be most effective to use when making comparisons between the two data sets?
A.
mean and MAD
B. mean and IQR
C. median and MAD
D. median and IQR
Solution:
As, two set of data are each symmetrical and do not contain outliers.
To find the center , the best way is to find Median of data set.Median of Data set is the mid value of Data that is center of Data.
As, you have to find variability , mean can't measure variability. Mean deviation would have been better option.
So, MAD=Median absolute Deviation , would be better tool to measure variability. Because it is Absolute difference between median and Each value of data set.
So, Option (C) median and MAD, would be best way to compare the two given data set.
23/2 as a mixed number
Answer:
11 1/2.
Step-by-step explanation:
23 / 2 = 11 remainder 1.
So it is 11 1/2.
Solve the math:
Elsa is 2 years older than Bella. Emma is twice as old as Elsa. So, what will be the sum of their ages in 1 years time. And then also find out what was the summation of their ages before 5 years from now.
Answer:
Step-by-step explanation:
Let Emma's age be 2x years, then:
Elsa's age is x years, also:
Bella's age is x - 2 years.
In one years time the sum of their ages
= 2x + 1 + x + 1 + x - 2 + 1
= 4x + 1 where x = Elsa's age now.
5 years before now
Sum of their ages
= 2x -5 + x - 5 + x - 2 - 5
= 4x - 17 where x = Elsa's age now,
find the value of H in this angle. check the attachment on top.
Answer:
133
Step-by-step explanation:
Line PYF is straight. Therefore, its angle measures 180°. One of the angles is 95°. The other angle measures (h-48)°.
Based on this info, we can form an equation:
95°+h°-48° = 180°
h°-48° = 180°-95°
h = 85°+48°
h = 133°
Hence, the value of h is 133°.
Hope this helps!!!
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a produce company is packaging tomatoes into boxes containing 8 tomatoes each. how many boxes do they need to package 416 tomatoes?
Answer:
5.75
Step-by-step explanation:
If
1 box = 8 tomatoes
x boxes = 46 tomatoes
1 = 8
x = 46
You cross multiply giving you
8x = 46×1
8x = 46
8x/8 = 46/8
x = 5.75
Evaluate
4! - (11-2)!
8!
Answer:
Step-by-step explanation:
The expanded value of n! is (n) * (n - 1) * (n - 2) until we reach one.
Given:
4! - ((11-2)!) / 8!)
Rewrite:
[tex]\displaystyle 4! - \frac{(11-2)!}{8!}[/tex]
Subtract:
[tex]\displaystyle 4! - \frac{9!}{8!}[/tex]
Expand:
[tex]\displaystyle 4*3*2*1 - \frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1}[/tex]
Cancel out values that equal one in the fraction:
[tex]\displaystyle 4*3*2*1 - \frac{9}{1}[/tex]
Multiply:
[tex]\displaystyle 24 - \frac{9}{1}[/tex]
Simplify:
24 - 9
Subtract:
15
The graph of a sinusoidal function intersects its midline at (0, -3) and then has a maximum point at
(2,-1.5).
Write the formula of the function, where x is entered in radians
The formula of the function when the graph is analyzed will be y =1.5sin[(pi/4)x] - 3.
How to explain the function?From the graph, the mid line is y = -3 and the amplitude will be:
= -1.5 - (-3)
= 1.5
From the mean line to the max is ¼ of a cycle. Therefore, the period will be:
= 4 × 2 = 8
Number of cycles in 2pi will be:
= 2pi/8
= pi/4
Hence, the formula of the function will be y= 1.5sin[(pi/4)x] - 3.
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Answer:
f(x)=1.5sin (pie/4 x)-3
Step-by-step explanation:
Kahn academy aproved
1/2 + 1/4 = how many quarters
Answer:
3
Step-by-step explanation:
1/2 = 0.5
1/4 = 0.25
1/2 + 1/4
= 0.5 + 0.25
= 0.75
= 75/100
= 3/4
Quarter is 1/4.
3/4 can be written as 3 x 1/4
Hence,
1/2 + 1/4 is 3 times 1/4
1/2 + 1/4 = 3 quarters.
Answer:
3/4
Step-by-step explanation:
1*(1/2)= (2/2)*(1/2)= (2*1)/(2*2)=2/4
1/2+1/4=2/4+1/4=3/4
julie buys a bike for $2700 and sells it a year later, making a 15% profit
How much profit did Julie make?
Answer:
$405.
Step-by-step explanation:
That would be 15% of $2700
= 2700 * 0.15
= $405
8. Given the following function, (a) find the vertex; (b) determine whether there is a maximum or a minimum value, and find the value; (c) find the range; and (d) find the intervals on which the function is increasing and the intervals on which the function is decreasing.
Answer:
Step-by-step explanation:
Parabola:
[tex]\sf f(x) =\dfrac{-1}{2}x^2+7x - 5\\\\a = \dfrac{-1}{2} \ ; b = 7 \ ; \ c = -5[/tex]
[tex]\sf x = \dfrac{-b}{2a}\\\\x =\dfrac{-7}{2*\dfrac{-1}{2}}\\\\ = \dfrac{-7}{-1}[/tex]
x = 7
Now, to find the y-value substitute this in the equation
[tex]\sf f(x) = \dfrac{-1}{2}*7^2+7*7-5\\\\ =\dfrac{-49}{2}+49-5\\\\ = \dfrac{-49}{2}+44\\\\ = \dfrac{-49}{2}+\dfrac{88}{2}\\\\= \dfrac{39}{2}[/tex]
[tex]\boxed{Vertex(7 ,\dfrac{39}{2})}[/tex]
b) The value of a is negative. So, the parabola is open down words and the maximum value is given by the y-coordinate of the Vertex.
[tex]\sf \boxed{Maximum \ value= \dfrac{39}{2}}[/tex]
[tex]\sf c) Range = [\dfrac{39}{2}, -infinity)[/tex]
Answer:
(a) (7,39/2)
(b) Maximum, 39/2
(c) y ≤ 39/2
(d) Increase when x < 7 and decrease when x > 7
Step-by-step explanation:
Given the parabola:
[tex]\displaystyle \large{f(x)=-\dfrac{1}{2}x^2+7x-5}[/tex]
( A ) Find the vertex
In order to find the vertex, let’s use calculus for this one. Recall the power rules for differentiation:
Power Rules
[tex]\displaystyle \large{f(x)=x^n \to f'(x)=nx^{n-1}}\\\\\displaystyle \large{f(x)=kx^n \to f'(x)=knx^{n-1} \quad \tt{(k \ \ is \ \ constant)}}\\\\\displaystyle \large{f(x)=k \to f'(x)=0 \quad \tt{(k \ \ is \ \ constant)}}[/tex]
Derivative Definition
Derivative f'(x) is a slope itself or rate of changes.Derive the parabola:
[tex]\displaystyle \large{f'(x)=-\dfrac{1}{2}(2)x^{2-1} + 7(1)x^{1-1} -0}\\\\\displaystyle \large{f'(x)=-x+7}[/tex]
Since vertex has slope = 0 —> e.g f'(x) = 0:
[tex]\displaystyle \large{0=-x+7}\\\\\displaystyle \large{-x=-7}\\\\\displaystyle \large{x=7}[/tex]
Substitute x = 7 in f(x):
[tex]\displaystyle \large{f(7)=-\dfrac{1}{2}(7)^2+7(7)-5}\\\\\displaystyle \large{f(7)=-\dfrac{1}{2}(49)+49-5}\\\\\displaystyle \large{f(7)=-\dfrac{49}{2}+44}\\\\\displaystyle \large{f(7)=-\dfrac{49}{2}+\dfrac{88}{2}}\\\\\displaystyle \large{f(7)=\dfrac{39}{2}}[/tex]
Therefore, the vertex is at (7,39/2)
( B ) Determine if max or min then find the value
Since the parabola opens downward then there only exists maximum value. The maximum value is the y-value of vertex at x-value of vertex. Henceforth:
There is maximum value but no minimum value and the maximum value is 39/2 at x = 7.( C ) Find range
For parabola, range is minimum value </≤ y </≤ maximum value. We know that parabola has maximum value of 39/2 but no minimum value so we can just ignore it then we’d have:
y ≤ 39/2 is our range[Note: < and > are for open-dot meaning the value will not be included —> e.g x > 4 means 4 isn’t included in.]
( D ) Find the interval when function is increasing and when it’s decreasing
For parabola, the function will increase only if f'(x) or slope > 0 and will decrease only f'(x) < 0.
We know, from part A that the derivative is:
[tex]\displaystyle \large{f'(x)=-x+7}[/tex]
Therefore, when f'(x) > 0 —> e.g -x + 7 > 0:
[tex]\displaystyle \large{-x+7 > 0}\\\\\displaystyle \large{-x > -7}\\\\\displaystyle \large{x < 7}[/tex]
When f'(x) < 0 —> e.g -x + 7 < 0:
[tex]\displaystyle \large{-x+7 < 0}\\\\\displaystyle \large{-x < -7}\\\\\displaystyle \large{x > 7}[/tex]
Therefore, the function will increase when x < 7 and will decrease when x > 7.
area of a circle radius 12
Answer: 3.14 x 12^2 = 452.16
complete the table of values for y=2xsquared+x
The solution of y= [tex]2x^{2} +x[/tex] given as:
x: 0 1 2 3
y: 0 3 10 21
What is Linear Equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given function is:
y= [tex]2x^{2} +x[/tex]
For finding the solution of above expression, take value of x and solve for y.
If x=0y= 2(0)+0
y=0
If x=1,y= [tex]2(1)^{2} +1= 3[/tex]
If x=2y=[tex]2(2)^{2} +2=10[/tex]
If x=3y= [tex]2(3)^{2} +3=21[/tex]
The required table is:
x: 0 1 2 3
y: 0 3 10 21
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Type the correct answer in the box. if necessary, use / for the fraction bar. you toss five fair coins. the probability that all five coins land heads is .
If all five coins land heads, the expected will 1. The probability that all five coins land heads is 1/32
What is probability?This is the likelihood or chance that an event will occur. Mathematically;
Probability = expected/total
If you toss five fair coins, the total outcome will be:
T = 2^5
T = 32
If all five coins land heads, the expected will 1. The probability that all five coins land heads is 1/32
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If 15% of the length of rope is 75cm what is half of the length of rope
Answer:
250 cm.
Step-by-step explanation:
Half = 50% so by proportion:
Half length of the rope = 75 *50/15
= 250
Answer:
250 cm
Step-by-step explanation:
15% to decimal:
15% = 15/100 = 0.15
Then, half of the lenght of rope is:
[tex](\frac{75}{0.15}) /2=500/2 = 250[/tex]
Hope this helps
For a particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6 on each die are in the ratio $1:2:3:4:5:6$. What is the probability of rolling a total of 7 on the two dice
Step-by-step explanation:
$ 1: 2: 3: 4: 5: 6: 7: 7: in ratio
probability on two dice
1, 2, 3, 4, 5, 6, 7, 7.
The probability of rolling a total of 7 on the two dice is 8/63 if in the particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6 on each die are in the ratio 1:2:3:4:5:6.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Let x be the probability of rolling a 1.
Ratios are 1:2:3:4:5:6
Then,
x + 2x + 3x + 4x +5x + 6x = 1
21x = 1
x = 1/21
The possible combinations of two rolls that total 7 are:
{(1,6) ; (2,5) ; (3,4) ; (4,3) ; (5,2) ; (6,1)}
The probability P of rolling a total of $7$ on the two dice is equal to the sum of the probabilities of rolling each combination.
[tex]\rm P = \dfrac{1}{21}\cdot\dfrac{6}{21}+\dfrac{2}{21}\cdot\dfrac{5}{21}+\dfrac{3}{21}\cdot\dfrac{4}{21}+\dfrac{4}{21}\cdot\dfrac{3}{21}+\dfrac{5}{21}\cdot\dfrac{2}{21}+\dfrac{6}{21}\cdot\dfrac{1}{21}\\\\=\dfrac{8}{63}[/tex]
Thus, the probability of rolling a total of 7 on the two dice is 8/63 if in the particular peculiar pair of dice, the probabilities of rolling 1, 2, 3, 4, 5, and 6 on each die are in the ratio 1:2:3:4:5:6.
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What is the volume of a sphere with a diameter of 9.1 m, rounded to the nearest tenth of a cubic meter?
The volume of this cube is 27 cubic meters. What is the value of m?
Hey ! there
Answer:
n is equal to 3 metersStep-by-step explanation:
In this question we are provided with a cube having volume 27 cubic meters . And we are asked to find the value of n that is basically its edge .
For finding the value of n we need to know the volume of cube. So ,
[tex] \: \qquad \: \qquad \: \underline{ \boxed{ \frak{Volume_{(Cube)} = a {}^{3} }}}[/tex]
Where ,
a refers to edge of cubeSOLUTION : -
Substituting given volume that is 27 m³ and value of a as n in formula :
[tex] \quad \longrightarrow \qquad \: n {}^{3} = 27[/tex]
Applying cube root on both sides :
[tex] \quad \longrightarrow \qquad \: \sqrt[3]{n {}^{3} } = \sqrt[3]{27} [/tex]
We get ,
[tex] \quad \longrightarrow \qquad \:n= \sqrt[3]{27} [/tex]
We know that 3 × 3 × 3 is equal to 27 that means cube root of 27 is 3 . So ,
[tex] \quad \longrightarrow \qquad \: \blue{\underline{\boxed{\frak{ n = 3 \: m}}}} \quad \bigstar[/tex]
Henceforth , value of n is ❝ 3 meters ❞Verifying : -
Now we are checking our answer whether it is wrong or right by substituting value of n and equating it with given volume that is 27 cubic meters . So ,
a³ = 27 ( where a is equal to n )Substituting values :
( 3 )³ = 273 × 3 × 3 = 279 × 3 = 2727 = 27L.H.S = R.H.SHence, Verified .Therefore, our answer is correct .
#Keep LearningAnswer:
3
Step-by-step explanation:
Formula for volume of cube :
V = n³Here, V is given to be 27 m³.
Substitute the value of V in the formula.
Solving : Take the cubic root on each side.
27 m³ = n³n = ∛27 m³n = 3 meters(4a^3 - 36a^2 + 60a^2 + 72) \ (a - 6)
Answer:
4a^2+48a+288+(fraction)1800/a-6
Step-by-step explanation: