Given the second difference, the table is quadratic.
What are linear and quadratic equations?A linear function is a function that has a single variable raised to the power of 1. An example is x + 2. A quadratic function is a function that usually has a single variable and it is raised to the power of 2. An example is 2x² + 10x + 25.
What are the first and second differences?First differences:
21 - 11 = 10
35 - 21 = 14
53 - 35 = 18
75 - 53 = 22
Due to the fact that the first difference is not the same, the function is not a linear function.
Second difference:
14 - 10 = 4
18 - 14 = 4
22 - 18 = 4
Due to the fact that the second difference is fairly constant, the function is a quadratic function.
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A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box?
Answer:
1560
Step-by-step explanation:
25 x 8 x 10 - 22 x 5 x 4 = 2000 - 440 = 1560
3(5+6) distributave property
Answer:
3(5+6)
3x5 + 3x6
15 + 18
33
please answer these questions my mom is really mad at me because I have a 73 in math and I need to higher my grade pls help
Answer:
1. D
2.A
Step-by-step explanation:
Hey, with question 1 you add all the numbers and divide them by the number of blue marbles. Then we simply simplify it.
Woth question 2 we divide 20 by 200 and simplify it.
what is the slope of the line that passes through the points (-9,10) and (-13,13)
Answer:
-3/4
Step-by-step explanation:
The slope of line passes through the points (-9,10) and (-13,13) is -3/4.
what is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
(-9,10) and (-13,13)
So, slope= (13 - 10)/ ( -13 + 9)
slope= 3 / (-4)
slope= -3/4
Hence, the slope of line is -3/4.
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Yesterday, there were q variants of a strain of bacteria. Today there are q^2 variants of the bacteria. There are 900 variants today. How many variants were present yesterday?
Answer:
30
Step-by-step explanation:
Since there are 900 today, and the variants square each day, we can take the square root of 900.
[tex]\sqrt{900} =30[/tex]
900 = q^2, so q = 30, so yesterday there were 30 variants
My little brother spent $53 on comic books and magazines. He bought 17 items. If comic books cost $4 and magazines cost $3, how many of each item did my brother buy?
Answer:
comic books = 2
magazines = 15
Step-by-step explanation:
Let c = number of comic books bought
Let m = number of magazines bought
He bought 17 items, so
c + m = 17
Comic books cost $4 each and magazines cost $3 each.
He spent $53 on comic books and magazines, so
4c + 3m = 53
Rearrange c + m = 17 to make m the subject:
m = 17 - c
Substitute m = 17 - c into 4c + 3m = 53 and solve for c:
4c + 3(17 - c) = 53
⇒ 4c + 51 - 3c = 53
⇒ c = 2
Substitute c = 2 into m = 17 - c to and solve for m:
m = 17 - 2 = 15
Rob eats a hamburger that has 415 calories for lunch. He also eats French fries that are 10 calories each. If Rob consumed 645 calories, how many French fries did he eat?
One angle of a parallelogram measures 162°. What are the measures of the other three angles in the parallelogram?
Answer:
The important properties of parallelograms to know are:
-Opposite sides of parallelogram are equal (AB = DC).
-Opposite angles of parallelogram are equal (D = B).
-Consecutive angles in a parallelogram are supplementary (A + D = 180°).
-If one angle is 90 degrees, then all other angles are also 90 degrees.
FROM
SURAJ SAINI
Answer:
162,162,18,18
Step-by-step explanation:
each two opposite angles are equal
since there is an angle equals 162° then the opposite angle equals 162°
since the sum of all angles equal 360°
360-(162+162)= 36
so the sum of the other two opposite angle = 36 then the measure of one angle =36/2 =18°
Which values are solutions to this inequality?
x>−5
Choose each correct answer.
8
5
1
−2
−6
−9
Answer:
8,5,1,-2
Step-by-step explanation:
> = Greater than or equal to -5
Please help quick !
Answer:
1. Quadrant 2
2. Quadrant 3
Step-by-step explanation:
The quadrants are ordered in a 'c' pattern. The first quadrant has coordinates (x,y). The second quadrant has coordinates (-x,y). The third quadrant has coordinates (-x,-y). The fourth quadrant has coordinates (x,-y).
Answer:
quadrent 2 for question 1 ( negative x positive y) quadrant 3 for number 2 ( negative x and y)
Lily threw a ball. The balls equation that demonstrated its height and velocity is:
h(x) = -16x2 + 3x + 35
What was the initial height that she threw the ball from?
The initial height of the ball is the y-intercept of the function
The initial height she threw the ball from is 35
How to determine the initial heightThe function is given as:
[tex]h(x) = -16x^2 + 3x +35[/tex]
Set x = 0.
So, we have:
[tex]h(0) = -16 * 0^2 + 3*0 +35[/tex]
Evaluate the exponent
[tex]h(0) = -16 * 0 + 3 * 0 + 35[/tex]
Evaluate the products
[tex]h(0) = 0 + 0 + 35[/tex]
Evaluate the sum
[tex]h(0)= 35[/tex]
Hence, the initial height she threw the ball from is 35
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the radius of a circle is 7 cm .the circle is divided into two equal parts .what is the perimeter of the semi circular part
Answer:
P = 35.98 cm
Step-by-step explanation:
The Perimeter of a shape is the distance around the outside of it. This semi-circle (half circle) has a straight part and the curved part. See image. The straight part is the diameter (distance through the center) it is double the radius that was given, 7 cm.
The circumference of a circle is the perimeter of the whole circle.
C = 2pi•r or pi•d
C = 2pi•7 = 14pi
But you only need half, so 14pi/2 is 7pi.
ADD the straight part and the curved part to get the whole distance around the shape
P = 14 + 7pi
P ~= 35.98 cm
See image
1. What is the measure of
Formula for area of a triangle
Answer: half x base x height
I hope that will help you have a great day bye and Mark brainlist if the answer is correct .......
Step-by-step explanation:
[tex]kai6417 [/tex]
#carry on learning
PLS HELPP ASP
Whats the sum of
8 1/2 2 1/2
Answer:
11
Step-by-step explanation:
1/2 + 1/2 is 1
8 + 2 = 10
1 + 10 = 11
Factorise fully 7y+84
Answer:
7 (y + 12)
Step-by-step explanation:
7 times y = 7y
7 times 12 = 84
7 (y + 12)
Answer:
y+12
Step-by-step explanation:
Divide 7y and 84 by 7
What is the area of this parallelogram?
A=1912 ft²
A = 42 ft²
A=6112 ft²
A=7134 ft²
Answer:
[tex]A=71\dfrac34 \ \ \textsf{ft}^2[/tex]
Step-by-step explanation:
Area = base x height
⇒ A = 10.25 x 7 = 71.75 = 71 3/4 ft²
Answer:
71 3/4 ft²
Step-by-step explanation:
the area is the product of the base (10 1/4) and height (7)
10.25 x 7 = 71 3/4 ft²
The point V(4, –1) is rotated 90° clockwise around the origin. What are the coordinates of its image V’? V’(1, 4) V’(–1, 4) V’(–1, –4) V’(4, 1)
Answer:
V' = (-1, -4)
Step-by-step explanation:
the original point V (4, -1) is 4 units to the right and 1 unit down.
now we turn this 90° clockwise (upper right to down to upper left).
that means the right part of the x-axis turns into the bottom part of the y-axis, and the bottom part of the y-axis into the left part of the x-axis.
so, positive x turns into negative y, and the negative y turns into negative x.
therefore, (4 -1) turns into (-1, -4).
Answer:
C V'(-1,-4)
Step-by-step explanation:
Finding the Coordinate for a 90° Rotation
The point V(4, –1) is rotated 90° clockwise around the origin.
What are the coordinates of its image V’?
V’(1, 4)
V’(–1, 4)
(V’(–1, –4)) this one <-------
V’(4, 1)
A clearance rack is marked as 60% off the regular price to be taken at the register. If a jacket on the clearance rack is marked $239. 99, what will it ring up for at the register? a. $14. 40 b. $60. 00 c. $96. 00 d. $143. 99.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{60\% of 239.99}}{\left( \cfrac{60}{100} \right)239.99}\implies 143.994~\hfill \underset{\textit{sale price}}{\stackrel{239.99-143.994}{\approx 96}}[/tex]
need this by midnight please show your work :)
Answer:
See belowStep-by-step explanation:
Part 1P = $800r = 2% (since P > $500)I = $100t = ?Find t:
I = Prt100 = 800*0.02t0.16t = 1t = 1/0.16t = 6.25 yearsPart 2P = $100r = 1.5% (since P < $500)I = $50t = ?Find t:
I = Prt50 = 100*0.015t0.03t = 1t = 1/0.03t = 33.33 yearsPart 3P = $10000r = 3% (since P > $5000)I = $750t = ?Find t:
I = Prt750 = 10000*0.03t300t = 750t = 750/300t = 2.5 yearsKhloe made 20% of her free throws over the season. If she shot 240 free throws, how many did she make?
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A board game has players roll two 6-sided dice and subtract the numbers showing on the faces. The game
only looks at nonnegative differences. For example, if a player rolls a 4 and a 6, the difference is 2.
um
Here is the sample space showing the possible (equally likely) outcomes of a single roll:
uctio
2nd die
1st die
1
2
3
4
5
6
1
0
1
2
3
4
5
2
1
1:50
0
1
2
3
4
3
2
1
0
1
2
3
4
3
2
1
0
1
2
5
4
3
2
1
0
1
6
5
4
3
2
1
0
Which graph represents the theoretical probability distribution of the differences?
It can be deduced that the sample space is the collection of the set of possible outcomes in a random experiment.
What is a sample space?Your information is incomplete as the graphs aren't provided. Therefore, an overview of the sample space will be given.
A sample space simply means the collection of the set of possible outcomes in a random experiment.
It should be noted that a sample space is usually represented by the symbol S.
Also, the theoretical probability distribution states that the probability of occurence of an event will be equal to the number of the favorable outcomes divided by the total outcomes possible.
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what is 8 ÷ 3/4 ? and 11 ÷ 2/5?
Answer:
10 2/3 = 10.6667
27 1/2 = 27.5
Step-by-step explanation:
8 ÷ 3/4
Convert any mixed numbers to fractions.
Then your initial equation becomes:
[tex]\frac{8}{1}[/tex] ÷ [tex]\frac{3}{4}[/tex]
Applying the fractions formula for division,
[tex]=\frac{8*4}{1*3}[/tex]
=[tex]\frac{32}{3}[/tex]
Simplifying 32/3, the answer is
[tex]10 \frac{2}{3}[/tex]
Decimal Form = 10.6667
=================================================================
11 ÷ 2/5
Convert any mixed numbers to fractions.
Then your initial equation becomes:
[tex]\frac{11}{1}[/tex] ÷ [tex]\frac{2}{5}[/tex]
Applying the fractions formula for division,
[tex]=\frac{11*5}{1*2}[/tex]
=[tex]\frac{55}{2}[/tex]
Simplifying 55/2, the answer is
27 1/2
Decimal Form = 27.5
[RevyBreeze]
Nilai akar pangkat dua dari bilangan 144, 225 dan 400 adalah
Tolong dijawab ya kakk
Answer:
harap ia membantu kamu ya saya itu dari negara lain mungkin syllables nyahh lain jadi jawapan nyahh bisa lain ia kan
i try my best for sure gudluckk
Step-by-step explanation:
144
225
400
729
1296
Write a function in the form y=mx+b for the line that contains the points (2, 4) and(5, 10).
Step-by-step explanation:
gradient=∆y/∆x
=(10-4)/(5-2))
=6/3
=2
(x,y) (2,4)
y-4/x-2=2
y-4=2(x-2)
y=2x-4+4
y=2x
what is
(588/2)9=n
a)n=294
b)n=2646
c)n=1323
Answer:
b)
Step-by-step explanation:
9 × (588/2)
= 9 × (294)
= 2646
An object with a mass of 4.0 kg accelerates 2.0 m/s² when an unknown force is applied to it. What is the
amount of the force
Answer:
F=ma
Mass is in kg, so we have mass= 4.0kg
since we have a= 2.0 m/s² and m= 4.0kg
F=ma
F= 4.0 x 2.0
F= 8.0N
Find the perimeter of the trapezoid
(5,1)( 5,-4) (1,1) (-2,-4)
Answer:
i cold not find the answer
Step-by-step explanation:
There are 10 teachers and 5 school guards in the school. The principal wants to form a 4-member safety committee for the upcoming Grade 10 night. In how many ways can the committee be formed if there are 3 teachers and 1 guard?
a. 35
b. 50
c. 125
d. 600
If angle 4 has a measure of 42° in the given diagram, what is the measure of angle 6?
Answer:
138 degrees
Step-by-step explanation:
its a cointerior angle so the angles add up to 180
so 180 - 42 = 138
Answer:
138°Step-by-step explanation:
If angle 4 has a measure of 42° in the given diagram, what is the measure of angle 6?
T is a flat angle (180°)
angle 4 = angle 8
angle 2 = angle 6
180 - 42 = 138°