Answer:
4
Step-by-step explanation:
solution: −√10<x<−2 or 2<x<√10
√10=3.16
-3,-2,2,3
The 2 and -2 are the integers satisfy the inequality.
It is required to find the number of integers .
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
For (x²– 4)< 0;
x²<4
By taking the square root of both sides we have,
√x²<√4
x < ±2
x<2 and x<-2
Also,
x²<10
By taking the square root of both sides we get,
√x²<±√10
x < ±√10
x<√10 and x<-√10
The √10 is not an integer but an irrational number. An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
So we can't take the integer of ±√10.
Therefore, the 2 and -2 are the integers satisfy the inequality.
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Dominick wants to determine the maximum capacity of a cylindrical bucket that has a radius of 6 inches and a
height of 12 inches. What is the capacity of Dominick's bucket? Round your answer to the nearest tenth. Don't
forget the label.
Hey there! I'm happy to help!
To find the volume of a cylinder, you multiply the base by the height.
First, let's find the base.
The base is a circle. To find the area of a circle, you square the radius and multiply by 3.14 (pi).
6²=36
36(3.14)=113.04
We multiply this by the height.
113.04(12)=1356.48
And we round to the nearest tenth.So, the maximum capacity of Dominick's bucket is 1356.5 cubic inches. If you use the entire pi number you would get something more around 1357.2, so that could be the answer if the first is incorrect.
Have a wonderful day! :D
Have a wonderful day!
Which pair of undefined terms is used to define the term parallel lines?
Answer:
The undefined terms needed to define parallel lines are 'lines' and 'points. ' In geometry, there are three undefined terms: points, lines
Step-by-step explanation:
Please include an explanation, i am confused. Thank you
Explanation:
Let's say,
(x1,y) (x2,y2)
are two points in a
xy
plane. We can find the shortest distance between two point by applying the distance formula stated as:
Distance
=√(x2−x1) 2+(y2−y1) 2
So by putting our given points
(x1,y1)=(6,−5) and (x2,y2)=(−1,−4)
in the distance formula, we have:
¯¯¯¯¯¯CD=√(−1−6)2+(−4−(5)2
Simplify to get:
5√2
Find the equation for the vertical line that goes through point M(−2, 6).
The equation for the vertical line that goes through point M(−2, 6) is x = -2.
The equation of a straight line is:
y = mx + b;
y, x are variables, m is the slope of the line and b is the y intercept.
The slope of a vertical is undefined. Since the line passes through the point M(−2, 6), hence the equation of the vertical line is:
x = -2
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busco novia lesbiana mi inta es Arianaprince1
Answer:
Step-by-step explanation:
Ok que bueno sigue tu sueño amiga
solve for x: 3/2+1/2x=2x
Which fraction has a decimal equivalent that is a repeating decimal?
a
141/47
b
19/3
c
13/65
d
11/19
Answer:
b.......19/3...I. guess
Charlotte drove 304 miles in 8 hours. If she continued at the same rate, how long would it take to travel 190 miles?
The time to travel 190 miles will be 5 hour.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Charlotte drove 304 miles in 8 hours.
And, She continued at the same rate.
Now,
Since, Charlotte drove 304 miles in 8 hours.
Hence, The speed is,
Speed = Distance / time
= 304 / 8
= 38 miles / h
So, For travel 190 miles at same rate;
Time = Distance / Speed
= 190 / 38
= 5 hour
Thus, The time to travel 190 miles will be 5 hour.
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Is 0.3529 irrational or rational
Answer:
It is Rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Question 3 of 10
Is ACOW- APIG? If so, identify the similarity postulate or theorem that
applies
Explanation:
Choice A isn't the answer because we don't know anything about the angles, so we can't use the AA (angle angle) Similarity theorem.
Choice B isn't the answer because we don't have info about all three pairs of sides (we only have two pairs of sides).
Choice C isn't the answer in a similar way choice A isn't either. We don't know anything about the angles, so we can't use the "A" in "SAS".
Choice D is the only thing left. It turns out we don't have enough info to be able to determine if the triangles are similar or not.
Hi if anyone is active can you tell me how to find the distance i’m kind of struggling in the unit of math:(
Find the distance between: -14.5 and 13
Answer:
I'm not sure :(
Step-by-step explanation:
I'm sorry
What is 9+10? is it 21?
Answer:
I know the joke your trying to pull of :>
Step-by-step explanation:
But if u really need help it's 19
10+9=19
instead of 21
Hope you liked
Thank YouWILL MARK FIRST ANSWER AS BRAINLIEST
Write an equation for the following (put the EQUATION in the answer box):
Jamie spends the same amount of money each morning. On Sunday, he bought a newspaper for $1.25 and bought 2 donuts. On Monday, he spent $0.50 on a newspaper and also bought 5 donuts. How much does each donut cost?
1.25+2x=.50+5x
Find the cost of a donut in #17
Answer:
$0.25 per donut.
Step-by-step explanation:
So, we know that Jamie spends the same amount of money each morning.
On Sunday, he spent $1.25 on a newspaper and bought 2 donuts.
On Monday, he spent $0.50 on a newspaper and bought 5 donuts.
Since he spend the same amount of money each morning, we can say that:
[tex]1.25+2x=0.5+5x[/tex]
Where x represents the cost per donut.
So, to find the cost of a donut, we need to solve for x.
So, let's try to isolate the x. Subtract 2x from both sides:
[tex](1.25+2x)-2x=(0.5+5x)-2x[/tex]
The left side cancels. Subtract on the right:
[tex]1.25=0.5+3x[/tex]
Now, let's subtract 0.5 from both sides:
[tex]0.75=3x[/tex]
To find x, divide both sides by 3:
[tex]x=0.75/3[/tex]
Divide:
[tex]x=0.25[/tex]
Therefore, each donut cost $0.25.
And we're done!
If tan 0=3/4 find csc0
Answer:
tanθ = 3/4 p/b
using Pythagoras theorem
H² = P² + b²
H² = 3²+ 4²
H² = 25
H = 5
cosθ = B/H = 4/5
0.05 is 1/10 of a decimal as
Answer:
1/10 =0.1 in decimal
Step-by-step explanation:
Write an expression for the sequence of operations described below. triple u, then multiply t by the result
Answer:
t(3u)
Step-by-step explanation:
First we have to triple (x3) u, which is what gets us 3u. Then we multiply that result by t.
This gives us: t(3u)
Remember, this problem is asking for you to write an expression, not and equation. That is why there is not an equal sign included in the answer.
What essential characteristic does a good experiment have?
Answer:
It should have many essential characteristics such as a Control group, a hypothesis, research to back up and defend your hypothesis/claim and it should be replicable by others with similar results to prove your experiments claim.
Hope this helps. :)
your order 4 fish tacos and a hamburger. The cost of the hamburger is $2.50. Your total bill before tax is $14.30. Write and solve an equation to find the cost a fish sandwich
Answer:
$2.95
Step-by-step explanation:
Step 1:
( $14.30 - $2.50 ) ÷ 4
Step 2:
$11.80 ÷ 4
Answer:
$2.95
Hope This Helps :)
fish tacos?
Step-by-step explanation:
4x-2.50=14.30
14.30-2.50=11.80
11.80/4= $2.95
each taco is 2.95
check your answer
$2.95*4= $11.80
11.80+2.50= 14.30
What is the parent function for y = |x - 41+7?
simplify ^3√p^4 q^6 r^5
Answer:
3p^2q^3r^2√r
Step-by-step explanation:
ms.garcia’s seventh grade class is collecting aluminum cans yo buy new board games. They receive $0.35 for each pound of cans they collect.What is the minimum number of pounds of aluminum cans they need to collect in order to purchase a broad game that cost $27.20
Answer:
The minimum number of pounds they need to collect is 78
Step-by-step explanation:
27/0.35 = 77.7
but in this specific problem you can't have less than part of a pound, so the final answer would be 78 pounds
F is between C and B. If CF = 7x+4, FB = 10x -69, and CB = 12x -25. Find x and CF
Answer:
x = 8CF = 60Step-by-step explanation:
CF + FB = CB
(7x+4) +(10x-69) = (12x-25)
5x = 40 . . . . . . . . add 65-12x
x = 8 . . . . . . . . . . divide by 5
CF = 7x +4 = 7(8) +4 . . . . use the x value in the expression for CF
CF = 60
A whippet runs 50 feet in one second. An ostrich can run at 40 mph. A giraffe runs half a mile in a minute. A domestic cat scurries 15 yards in one second. Which animal is fastest?
Answer:
Step-by-step explanation:
You need to translate these into a common rate.
feet / second is probably the best one.
Whippet: 50/1 = 50 feet / second.
Ostrich: 40 miles/ hour = 40 *[ 1 hour/3600 sec] * [5280 feet / mile] = 58.67 ft/sec
Giraffe: 1/2 mile / minute * [1 minute/60 sec]*[5280 feet/mile] = 1/2 * 5280/60 = 44 feet/second
Cat: 15 yards / sec [ 3 feet/ yard] = 45 feet / second
Looks like the Ostrich is the fastest.
A horizontal line has points D, B, C. A line extends vertically from point B to point A. Given that Ray B A bisects ∠DBC, which statement must be true? m∠ABD = m∠ABC AB ≅ BC B is the midpoint of DC. m∠DBC = 90°
Answer:
The Answer Is: m∠ABD = m∠ABC
Step-by-step explanation:
I just took the test
A line is a one-dimensional shape that is straight. The statement that must be true about the given condition is A, m∠ABD=m∠ABC.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given that a horizontal line has points D, B, C. A line extends vertically from point B to point A. Also, Ray BA bisects ∠DBC. Therefore, the diagram for the given condition can be made as shown below.
Thus, the statement that must be true is m∠ABD = m∠ABC. This is because ∠DBC is a straight line, therefore, its measure will be 180°. And since Ray BA bisects ∠DBC. Therefore, the measure of m∠ABD = m∠ABC = 90°.
Hence, the statement that must be true about the given condition is A, m∠ABD = m∠ABC.
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Point B has 3 lines extending from it. One line extends to point A, another to C, and another to D. Angle A B D is a right angle. Which information do you know is true from the diagram? Check all that apply. ∠ABD is a right angle. Ray B C bisects angle ∠ABD. m∠ABC = 45° m∠CBD = 45° m∠ABD = 90°
Answer:
A) ∠ABD is a right angle.
E) m∠ABD = 90°
Step-by-step explanation:
just took the test
∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given that,
Angle A B D is a right angle.
The right angle is a 90-degree angle.
So,
m∠ABD = 90°
Hence "∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles".
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What is the value of 3 minus (negative 2)? A number line going from negative 5 to positive 5. –5 –1 1 5What is the product? (6) (negative 12) –82 –72 72 82
Answer: 5, 72
Step-by-step explanation:
Given the following questions :.
The value of 3 minus (negative 2)
3 - (-2) = 3 + 2 = 5
A number line going from Negative 5 to positive 5, what is the product of 6(negative 12)
6 × (-12) = - 72
The product of 6 and negative 12 is -72.
Here, we have,
The value of 3 minus (negative 2) can be calculated as follows:
3 - (-2) = 3 + 2 = 5.
Therefore, the value of 3 minus (negative 2) is 5.
Regarding the number line going from -5 to 5:
-5 -1 1 5
The product of 6 and negative 12 can be calculated as follows:
6 * (-12) = -72.
Therefore, the product of 6 and negative 12 is -72.
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Question: Write an expression for each statement to represent the quantity in terms of its context. 1. A car rents for $35 per day plus 15 cents per mile driven. 2. The sum of three consecutive even integers. 3. One-fifth of the sum of r and 7 minus the product of 9 and s 4. On a farm, the number of cows is 70 more than half the number of goats and sheep.
Answer:
Say you have to find two consecutive integers whose sum is 89. How do you go about this problem? You first take a variable, say x, the value of which is unknown to you. Next, you are supposed to take another number. Since the problem requires you to use two consecutive integers, the integer next to x will be (x + 1). Now as per the problem, the sum of x and (x+1) is 89. We represent this in the form of an equation: x + (x + 1) = 89. Solving this equation we get x as 44 and the next integer (x + 1) as 45, the sum of which is 89.
Step-by-step explanation:
GEOMETRY: need some help on these equations, i'm giving a lot of points for this.
Answer:
1) ML=93
2) GE=58
Step-by-step explanation:
1)
We want to find ML.
So, we need to find x first.
Note that the entire segment, NK, is the addition of the segments NM, ML, and LK. So:
[tex]NM+ML+LK=NK[/tex]
And we know their equations. So, substitute 110+4x for NM, x+103 for ML, 70 for LK, and x+243 for NK. Thus:
[tex](110+4x)+(x+103)+(70)=x+243[/tex]
On the left, combine like terms:
[tex](4x+x)+(110+103+70)=x+243[/tex]
Add:
[tex]5x+283=x+243[/tex]
Subtract 283 from both sides:
[tex]5x=x-40[/tex]
Subtract x from both sides:
[tex]4x=-40[/tex]
Divide both sides by 4:
[tex]x=-10[/tex]
So, the value of x is -10.
Substitute this into ML to find it. So:
[tex]ML=(-10)+103[/tex]
Add:
[tex]ML=93[/tex]
And we're done!
2)
Here, we want to find GE. This means solving for x again.
Note that HF plus FE equates to the entire segment.
HG plus GE also equates to the entire segment.
Thus:
[tex]HF+FE=HG+GE[/tex]
Substitute 3x-129 for HF and 4 for FE.
Substitute 13x-993 for HG and 3x-185 for GE. Thus:
[tex](3x-129)+(4)=(13x-993)+(3x-185)[/tex]
Combine like terms on both sides:
[tex](3x)+(-129+4)=(13x+3x)+(-993-185)[/tex]
Add or subtract:
[tex]3x-125=16x-1178[/tex]
Add 1178 to both sides:
[tex]3x+1053=16x[/tex]
Subtract 3x from both sides:
[tex]1053=13x[/tex]
Divide both sides by 13:
[tex]x=81[/tex]
So, the value of x is 81.
To find out GE, GE is the 3x-185. So:
[tex]GE=3(81)-185[/tex]
Multiply:
[tex]GE=243-185[/tex]
Subtract:
[tex]GE=58[/tex]
And we're finished!
Help me plz!!!!!!!!!!!!!!!!!!!!!!!
1/2 is the constant of proportionality because no matter what y or x is equal to, 1/2 will not change.
Evaluate the function f(x) = 3 - 6x, when x=0.
a -3
b 0
c 3
d -57
Answer:
C
Step-by-step explanation:
f(0)= 3 - 6 (0)
f(0)= 3 - 0
f(0)= 3