There are 10 perfect squares between 1 and 100, and 10 powers with an exponent of 2 between 1 and 100.
What is Number system?A number system is defined as a system of writing to express numbers.
Between 1 and 100, the perfect squares (numbers that can be expressed as the square of an integer) have exponents of 2.
We need to count the number of perfect squares between 1 and 100. These include:
1² = 1
2² = 4
3²= 9
4² = 16
5² = 25
6² = 36
7²= 49
8² = 64
9² = 81
10² = 100
So, there are 10 perfect squares between 1 and 100, and therefore 10 powers with an exponent of 2 between 1 and 100.
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An amusement park reduced its admission price to $15.50 per day, but now charges $1.50 per ride. Mark has $26 to spend on admission and rides. Write and solve an equation to find how many rides Mark can ride in one day.
The graph of y = 4x2 - 4x – 1 is shown.
Use the graph to find estimates for
the solutions of
i) 4x2 - 4x – 1 = 0
ii) 4x2 - 4x - 1 = 2
Answer:
i) The approximate solutions are: [tex]x_{1} \approx -0.207[/tex], [tex]x_{2} \approx 1.207[/tex].
ii) The approximate solutions are: [tex]x_{1}\approx -0.5[/tex], [tex]x_{2} \approx 1.5[/tex].
Step-by-step explanation:
i) The best approach to estimate graphically the solution of [tex]4\cdot x^{2} - 4\cdot x - 1 = 0[/tex] is graphing the following system of equations:
[tex]y = 4\cdot x^{2}-4\cdot x - 1[/tex] (1)
[tex]y = 0[/tex] (2)
And labeling the points in which both intersects each other. We include the result in the image 'solution-i'. The approximate solutions are: [tex]x_{1} \approx -0.207[/tex], [tex]x_{2} \approx 1.207[/tex].
ii) The best approach to estimate graphically the solution of [tex]4\cdot x^{2} - 4\cdot x - 1 = 2[/tex] is graphing the following system of equations:
[tex]y = 4\cdot x^{2}-4\cdot x - 1[/tex] (1)
[tex]y = 2[/tex] (2)
And labeling the points in which both intersects each other. We include the result in the image 'solution-ii'. The approximate solutions are: [tex]x_{1}\approx -0.5[/tex], [tex]x_{2} \approx 1.5[/tex].
Find the missing part.
Answer:
15
Step-by-step explanation:
9/6=x/10
why? they segments are similar
Which of the following is equal to 10.6 ÷ 2?
A.
(10 ÷ 2) + (0.6 ÷ 2)
B.
(10 ÷ 2) + (2 ÷ 0.6)
C.
(10 ÷ 2) - (6 ÷ 2)
D.
(10 ÷ 2) - (0.6 ÷ 2)
Answer:
[tex]\huge\boxed{\sf Option\ A }[/tex]
Step-by-step explanation:
10.6 ÷ 2 = 5.3
Now,
Part A)
(10 ÷ 2) + (0.6 ÷ 2)
= 5 + 0.3
= 5.3
No need to solve other parts. The correct option is A.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Choose values for horizontal and vertical translation to move triangle ABC. Use the tool to translate the figure in both the x and y directions. y Horizontal Translation 4 C 2 Vertical Translation Which statements are true about the image? The triangle flipped upside down. The sides stayed the same length. The angles stayed the same size. The triangle completed a quarter turn. -2. Reset -2 A B -48.
Answer:The sides stayed the same length
The angles stayed the same size
Step-by-step explanation:
Identify the translations.
The orange triangle, A, is the pre-image.
The pre-image moved
✔ 5
units horizontally to form the purple triangle, B.
The pre-image moved
✔ 4
units vertically to form the green triangle, C.
What is the measure of DC??
Answer:
113 - L O L Z - but its a obtuse angle
Step-by-step explanation:
can somebody verify this for me?
5f + 3n + 2
use f = -4 and n=-7
answer is -43
is this correct? yes or no?
Answer:
no
Step-by-step explanation:
5(-4)+3(-7)+2= -20-21+2=-39
what is the volume???
Answer:
80 cm^3
Step-by-step explanation:
In order to find the volume of an object, you must multiply the length x width x height of the object. In the case of this pyramid, you also must multiply by 1/3 in the end. This looks like 5x6x8x(1/3) = 80 cm^3
Answer:
I got 240 but I'm not sure if that is correct
Step-by-step explanation:
volume is the space inside and you find out with length x width x height and that's what I did. I guess the number just seems high
A recipe for cookies requires 1 ⅔ cup of milk. How many cups of milk are needed for 4 batches of the recipe?
Answer:
6 2/3
Step-by-step explanation:
1 2/3 *4= 4 8/3 ---->6 2/3
Simplify, Show work
1: 2i^20 + i^42
2: i^101 - i^2
Answer:
1. i^20 X (2+i^22)
2. i² X (i¹¹-1) X (i²² + i¹¹ + 1) X (i^66 + i³³ + 1)
Step-by-step explanation:
1) 2i^20 + i^42
factor out i^20
i^20 X (2 + i^22)
2) i^101 - i²
i²X(i^99-1)
i²X(i³³-1)X(i^66+i³³+1)
Using a³-b³=(a-b)(a²+ab+b²)
i²X(i¹¹-1)X(i²²+i¹¹+1)X(i^66+i³³+1)
i²X(i¹¹-1)X(i²²+i¹¹+1)X(i^66+i³³+1)
I almost gave up typing. Quite stressful, but its fine
Can someone help with this?
Answer:
I think the answer of X is 2
Step-by-step explanation:
i said think ok
have a nice week
[o]-[o]
\___/
Answer:
x=2
Step-by-step explanation:
Going from 6 to 4 means you have to dilate by 2/3.
(2/3)*6=4
(2/3)*3 is 2
In triangle RST the vertices have coordinates of R(-1,10),S(5,4)and T (-4,-2). If the midpoints of side RS and RT were connected with a segment, what would the slope of this segment be?
Plz helppp
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Midpoint of a line segment joining points [tex](x,y)[/tex] and [tex](u,v)[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2} )[/tex]
Points are R(-1,10),S(5,4)and T (-4,-2).
Midpoint of RS = [tex](\frac{-1+5}{2},\frac{10+4}{2} )=(\frac{4}{2},\frac{14}{2} )=(2,7 )[/tex]
Midpoint of RT = [tex](\frac{-1-4}{2},\frac{10-2}{2} )=(\frac{-5}{2},\frac{8}{2} )=(\frac{-5}{2},4)[/tex]
Slope of a line joining points [tex](a,b)[/tex] and [tex](c,d)[/tex] is given by [tex]\frac{d-b}{c-a}[/tex]
Slope of line joining midpoints of side RS and RT = [tex](\frac{4-7}{\frac{-5}{2}-2 })=(\frac{-3}{\frac{-9}{2} })=\frac{2}{3}[/tex]
find the area of the rectangle
14 by 6
Answer:
84 units
Step-by-step explanation:
14 times 6 equals 84
need HELP!
........m
Answer:
7/8
Step-by-step explanation:
turn 1/4 denominator into 8 and by doing that, u multiply by 2.
whatever you do to the bottom, u do to the top. so 1/4= 2/8
5/8+2/8= 7/8
5/8 + 1/4 = 37/20
37/20=1 y 17/20
.Find the value of 4st - 2t if t = 3 and s = 2.
A. 24
B. 20
C. 18
D. 12
Answer:
C) 18
Step-by-step explanation:
4st - 2t
4(2)(3) - 2(3)
24 - 6
18
A triangle has angle measures of 95° and 65° What is the measure of the third angle
HERE IS THE FULL QUESTION LOL GET IT RIGHTT PLZZ
9514 1404 393
Answer:
14,060 ft
Step-by-step explanation:
On day 2, the group climbed ...
19660 -16860 = 2800 . . . . feet
The problem statement tells us they climbed that same amount on day 1, so they must have started at ...
16860 -2800 = 14,060 . . . . feet
The group began their climb at 14,060 feet.
What is 792 divided by 44
20 POINTS
On the news yesterday, the weather forecaster’s rainfall prediction was 20% off. If 2.5 inches of rain actually fell today, what are the two rainfall predictions that could have been made during the weather forecast?
Giving brainliest to the BEST EXPLAINED answer. All answers that are irrelevant to the question will be reported and removed.
Middle School Math
REPOST AS THE OTHER ONE GOT SNIPED
DUE in a couple of minutes!!help me out with this question (geometry)
pls help need it ASAP
will give brainlist
:)
Step-by-step explanation:
Given
5x + 2y = 16 .....i)
x + 2y = 4 .....ii)
Subtracting equation I) and ii) we get
5x + 2y = 16
x + 2y = 4
- - -
4x = 12
x = 3
Putting x = 3 in equation ii)
3 + 2y = 4
2y = 4 - 3
y = 1/2
x =3 and y = 1/2
Hope it helps :)
Answer:
1) x=2 y=3 2) x=2 y=1
Step-by-step explanation:
Multiple Choice
Look at the graph.
The graph shows a line through the points left parenthesis negative 1 comma negative 2 right parentheses and left parenthesis 2 commas 1 right parenthesis.
The slope of the line is _______.
A. positive
B. negative
C. zero
D. undefined
Answer:
the slope is POSITIVE (answer A)
Step-by-step explanation:
The line goes through: (-1, -2) and ( 2, 1)
Then the slope can be calculated as:
slope = (y2 - y1) / (x2 - x1)
in our case:
slope = (1 - -2) / (2 - -1) = (1 + 2) / (2 + 1) = 3 / 3 = 1
Therefore, the slope is POSITIVE (answer A)
Graph the equation y = -7/2x+2 on the coordinate plane.
Answer:
2y ( -5,2)
Step-by-step explanation:
you start at 2y and go down 7 times and move 2 times left
It takes 9 hours for 8 men to paint a room,
How many men would be needed to paint the room in 4 hours?
Answer:
6 people
Step-by-step explanation:
A principal wants to know if students at a particular high school are in favor of a new dress code at their school. The principal is not able to ask the opinion of every student at the school, so she needs to select an appropriate sample of the students to represent the high school.
Select which sample of students the principal should choose.
A
Students randomly selected from a list of all students at the school.
B
Students sitting at randomly selected tables in the library.
C
Students she selects from the hallway between classes.
D
Students selected by the teachers.
Answer: i would say D but i have no idea, it makes the most sence to me
Luke's car depreciates in value by 12% per year.
Luke bought his car for £18000
Work out how much his car will be worth after 4 years.
Answer:
£9360
Step-by-step explanation:
£18000× 12 ÷100 = £2160
£2160 × 4 = £8640
£18000 - £8640 = £9360
Therefore his car will be worth £9360 after 4 years
please help. sad moment.
Answer:
10
Step-by-step explanation:
The radius is half the diameter
Answer:
d) 10in is the answer
Step-by-step explanation:
step 1 - Radius is half of the diameter.
step 2 - 20 ÷ 2 = 10
step 3 - Hence the answer is 10in.
Hope it helps,
Please mark me as the brainliest
Thank you
determine the missing angle
Answer:
46°
Step-by-step explanation:
These angles are same-side supplementary, therefore they add up to 180°.
180 - 134 = 46°.
The height of a football y in feet is given
by the function y=-16x² + 56x+ 2
where x is the time in seconds after the
ball was kicked. This function is
graphed below. How long was the
football in the air?
(Show work please if possible.)
Factor 21x^2 - 37x + 12