We have a lot of square roots, and we want to find, for each one, two consecutive integers such that one is smaller than the square root and the other is larger.
The solutions are:
1) 10 and 112) 7 and 83) 4 and 54) 15 and 165) 8 and 96) 5 and 67) 14 and 158) 6 and 79) 10 and 1110) 3 and 4----------------------------
To find the integers, we just need to find two integers such that one squared is smaller than the argument of the square root and the other squared is larger than the argument of the square root.
1) √120
Here we can use:
10*10 = 100
11*11 = 121
Then:
10 < √120 < 11
2) √56
Here we can use:
7*7 = 49
8*8 = 64
then:
7 < √56 < 8
3) √19
Here we can use:
4*4 = 16
5*5 = 25
then:
4 < √19 < 5
4) √240
Here we can use:
15*15 = 225
16*16 = 256
then:
15 < √240 < 16
5) √80
Here we can use:
8*8 = 64
9*9 = 81
then:
8 < √80 < 9
6) √27
Here we can use:
5*5 = 25
6*6 = 36
then:
5 < √27 < 6
7) √199
Here we can use:
14*14 = 196
15*15 = 225
then:
14 < √199 < 15
8) √38
Here we can use:
6*6 = 36
7*7 = 49
then:
6 < √38 < 7
9) √102
Here we can use:
10*10 = 100
11*11 = 121
then:
10 < √102 < 11
10) √11
Here we can use:
3*3 = 9
4*4 = 16
then:
3 < √11 < 4.
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(3, 2), у = х +5
Write the slope intercept from
Answer:
Y= x^2 + 5x - 22
Step-by-step explanation:
Slope intercept form= y=Mx+b
Hurry I don’t understand any of this!
Answer:
it's the second one! 11√3 - 7√6
Answer:
B.
Step-by-step explanation: You have to simplify the radical expressions [tex]\sqrt{48}[/tex] simplified is [tex]4\sqrt{3}[/tex] and [tex]\sqrt{58}[/tex] simplified is [tex]3\sqrt{6}[/tex].
Next, collect the like terms [tex]7\sqrt{3} + 4\sqrt{3} = 11\sqrt{3}[/tex] then [tex]4\sqrt{6}- 7\sqrt{6} = 7\sqrt{6}[/tex]
Then you'll put it all together which will give you an answer of [tex]11\sqrt{3} - 7\sqrt{6}[/tex]
One angle of a triangle measured 95
the other two angles are in a ratio of 5:12what are the measures of those two angles
Answer:
Both angles: one = 25 degrees, the other equals 60 degrees
Step-by-step explanation:
Do 95 + 5x + 12x = 180.
x = the angle.
95 + 17x = 180.
minus 95
17x = 85
divide by 17.
x= 5
then do 5(5) and 5(12) to get your two angles.
Answer:
25 and 60
Step-by-step explanation:
One angle of a triangle measured 95
the other two angles are in a ratio of 5:12, what are the measures of those two angles?
So 95 + 5x + 12x = 180
(Combine like terms)
95 + 17x = 180
(Subtract 95 from both sides)
17x = 85
(Divide 17 from both sides)
x = 5
Now plug 5 into 5 and 12
5x = 25
12x = 60
60 + 25 + 95 = 180 :)
Lia Edwards
The area of a rectangle is 365.2 square meters and its length is 22 m. Find the width of the rectangle.
Answer: 16.6m
Step-by-step explanation:
Area - Length x Width
365.2/22
16.6m
Is this relation a function?
True
False
A group of 19 students want to see the show at the planetarium. Tickets cost $11 for each student who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member. The total cost of the students' tickets is $209. Use this information for Items 9–16.
Answer:
All the student are members of the planetarium's frequent visitor program.
Step-by-step explanation:
Let x represent the number of student who are members of the planetarium's frequent visitor program.
And let y represent the who are not a member.
Then two equations can be formed using the provided data:
x + y = 19...(i)
11x + 13y = 209...(ii)
Multiply (i) by 13 and solve for x as follows:
13x + 13y = 247
-11x - 13y = -209
2x = 38
x = 19
Substitute x = 19 in (i) and solve for y as follows:
x + y = 19
19 + y = 19
y = 0
Thus, all the student are members of the planetarium's frequent visitor program.
Which linear inequality represents the graph below?
A. 12-x+1
B. y> -*x+1
C. y24x+1
D.y> 5x+
5|7 - 9| - 2
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Answer: 8
Step-by-step explanation:
1. 5 * |7-9| - 2
2. 5 * 2 - 2
3. 10 - 2
4. 8
Mark is solving the following system.
X+y+Z= 2(1)
3x+2y+z=8 (2)
4x-y-Tz= 16 (3)
Step 1: He multiplies equation (1) by 7 and adds it to equation (3). Step 2: He multiplies equation (3) by 2 and adds it to equation (2)
Which statement explains Mark's mistake?
Answer:
the answer is c
Step-by-step explanation:
i just finished the quiz
He did not eliminate the same variables in steps 1 and 2
Write the following numbers as a fraction in its simplest form.
1. 0.218
2. 2.72
3. 0.0005
4. 0.012
ALSO I NEED THIS NOW
Josie's living room is shaped like a rectangle. The room is 50 feet long and 20 feet wide. Which rectangle could be a scale drawing of Josie's living room?
Answer:
Are there answer choices? But when looking at it one side should just be a little bit more than double the length of one side.
Step-by-step explanation:
This is because 20 is less than half of 50
Which shows the order of the angles from smallest to
largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
angle B, angle C, angle A
O angle C, angle A, angle B
Answer:
O angle A, angle B, angle C
5 out of 7 people wear contacs.what fraction of the students wear contacs
Answer:
5/7
Step-by-step explanation:
hope this helps
Can someone please help me with these problems? Will mark brainliest
Answer:
1/6
2/6 or 1/3
Step-by-step explanation:
A windshield wiper blade is 9 inches long. To the nearest square inch, what is the area covered by the blade as it rotates through an angle of 50 degrees
Answer:
The area covered by the wiper blade is 35 square inches
Step-by-step explanation:
Here, we want to calculate the area covered by the blade of the wiper
Mathematically, this is simply the area of the sector formed by the wiper on the screen
This can be calculated as follows;
theta/360 * pi * r^2
From the question theta = 50 degrees
r = the length of the wiper = 9 inches
So the area is;
50/360 * 22/7 * 9^2 = 35.35714285714286
This is closest to 35 square inches
Write an equation in function notation for the relation
shown at the right.
F f(x)=-2x H f(x)=x-2
G f(x)=2x+2 J f(x)=-x+2
The correct function is H, f(x) = x-2
What is a function?A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.
Given is a graph,
Slope is rise over run, so it’s 1 up and 1 to the right.
It means that the slope is 1.
We know that, the general form of the linear equation y = mx+b where slope is m.
Here, So m is 1.
So we have y=x+b.
To find b plug in the point (0,-2) x=0 and y=-2
Thus, we get, b=-2
Therefore, the linear equation is y=x-2
Hence, the correct function is H, f(x) = x-2
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What is 3/8 divided by 1/3? I need help asap
An empty shipping box weighs 300 grams the box is then filled with t shirts each t shirt weighs 100 grams the equation 100t + 300 = w represents the relationship between the quantities in this situation where is the weight im grams of the filled box and number if shirts in the box. Select all possible solutions for (t,w) to the equation 100t + 300 =w
Answer:
Step-by-step explanation:
Given the equation of the weight of an empty shipping box expressed as:
100t + 300 = w
We are to select all possible solutions for (t,w) to the equation 100t + 300 =w. From the equation the input variable is t which serves as the DOMAIN while the output variable is w which serves as the RANGE. To get the possible of t, we will need to find the values of t that will make the function to exist. Since the number of t shirts are always positive, this means that the value of t exists on all positive real numbers. Hence the Domain is expressed as:
Domain: [0, ∞)
Since the weight w must also be positive, the lowest value of w we can get it at when t = 0. Substitute into the equation:
100t + 300 =w
100(0) + 300 = w
300 = w
w = 300
Hence the minimum output (weight) that we can have is 300, the Range of the expression will be expressed as:
Range: [300, ∞)
The distance from City A to City B is 75,300 metres. The distance from City B to City C is 51,800 metres. Ross drives from City A to City C through City B. He drives for 62,400 metres before taking a rest. What is the remaining distance that Ross has to drive to reach City C ?
what is the answer for this question it's really urgent
30 points for brianliest
Answer:
E Hope this helps!
Step-by-step explanation:
Happy Halloween!
Answer:
#1. yellow
#2. black
#3. blue
Hope that helps!!! Please give me the brainliest!! ;( )
Only do number 2
Please help me vote you brainiest
Answer:
he should use the 5/8 inch wide plank
Step-by-step explanation:
9/16 = 4.5/8 which is smaller than 5/8
The answer will be prime
I have no clue what these are! help: (
Answer:
B. perpendicular to a line at a point on the line
Step-by-step explanation:
that's how you would construct a perpendicular line to the point that is on the line
Laura was asked to estimate the volume of dirt in a large hill outside her school. She decides to model the hill using a truncated cone. She estimates that the hill has a base diameter of 80 feet, a top diameter of 40 feet, and a helght of 24 feet. What is the approximate volume of dirt in the hill?
Answer:
The approximate volume of dirt in the hill = 70372 ft³
Step-by-step explanation:
From the given information:
Laura uses a model of a truncated cone to estimate the volume of the dirt.
This implies that the volume of the dirt in the large hill took the shape of a truncated cone.
Her estimate then includes:
a base diameter = 80 feet ; then the base raidus (R) = 80 feet/2 = 40 feet
a top diameter = 40 feet ; then the top radius (r) = 40 feet/2 = 20 feet
a helght = 24 feet.
Using the formula for the volume of a truncated cone :
[tex]V =\dfrac{1}{3} \times \pi \times h \times ( r^2 +r \times R+ R^2)[/tex]
[tex]V =\dfrac{1}{3} \times \pi \times 24 \times ( 20^2 +20 \times 40+ 40^2)[/tex]
[tex]V =25.133 \times ( 400 +20 \times 40+ 1600)[/tex]
V = 70371.675 ft³
V ≅ 70372 ft³
Answer:
70,336
Step-by-step explanation:
Inline skates typically have weeks with a diameter of 74mm. The wheels are typically manufactured so that the diameter is very from this value by at most .1mm. Right and solve an absolute-value equation to find the maximum and minimum diameter of the wheels
Answer:
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If the income tax rate is 16%, determine the amount of income tax paid on an income
of $12,400
Answer:
1900
Step-by-step explanation:
100-16=84
12400×16/100=1984
1984-84=1900
=1900
−4x+1=
\,\,-9x+16
−9x+16
Answer:
x=31/14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−4x+1=−9x−16+9x+16
−4x+1=−9x+−16+9x+16
−4x+1=(−9x+9x)+(−16+16)(Combine Like Terms)
−4x+1=0
−4x+1=0
Step 2: Subtract 1 from both sides.
−4x+1−1=0−1
−4x=−1
Step 3: Divide both sides by -4.
−4x−4=−1/-4
x=1/4
How do you do 4x+9=2x-6
Answer:
[tex]x = \frac{-15}{2}[/tex]
Step-by-step explanation:
to answer these types of questions, we want to isolate the variable to one side of the equation
[tex]4x + 9 = 2x - 6\\4x - 2x = -6 - 9\\2x = -15\\x = \frac{-15}{2}[/tex]
Answer:
x = -7.5 :)
Step-by-step explanation:
4x + 9 = 2x - 6
-2x -2x
----------------------
2x + 9 = -6
-9 -9
-----------------------
2x = -15
--- ----
2 2
x = -7.5
I’m stuck on this for about 20 minutes, can someone help and explain step by step to me?
Answer:
The answer is [tex]-\frac{1}{15}[/tex]
Step-by-step explanation:
I used my calculator and inputted everything.
what is the lcm of the numbers 96 and 72
Answer:
288: least common multiple
Step-by-step explanation:
Answer:
The LCM of 96 and 72 is 1,656
Step-by-step explanation:
Sun Gold paint is made by mixing 3 parts yellow to 2 parts
red. How much red is to be mixed with 4 quarts of yellow?