Answer:
{-9,-8,-7,-6,-5,-4} [ List method ]
or
{x: x ε Z where x>-10 and x<-3} [Set builder form]
Step-by-step explanation:
Z represents Integer
The numbers are -9,-8,-7,-6,-5,-4. [ list method ]
The set of all numbers greater than -10 and less than -3 are represented in set-builder notation as {x: x ∈ Z⁻, -10 < x < -3} and the set of numbers are
How to write the set-builder notation for a given data?The set notation consists of symbols like ': - such that', '∈ - belongs to', ' <, >, ≤, ≥', and all these are enclosed in flower braces. The Capital letter that is used in this represents the category or the set to which the given values are related. A variable is used for representing the given set of data values.
Writing the set-builder notation for the given values:It is given the set of numbers that are greater than -10 and less than -3.
Since they are negative integers, so all the required numbers also belong to the same category of numbers.
So, it is represented by Z⁻
Then, the set builder notation is
{x: x ∈ Z⁻, -10 < x < -3} and
The set is {-9, -8, -7, -6, -5, -4}
Learn more about the set-builder notation of numbers here:
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Bye how much more coffe is in the dads mug
Pls someone help me
Simplify the expression. Write your answer as a power. 5^8 x 5^5/5^4 x 5^3
Answer:
Step-by-step explanation:
5^5/5^4 = 5^(5-4) = 5
5^8 * 5 * 5^3 = 5^(8+1+3) = 5^12
A mechanic is using a machine that makes metal parts. She measures each part to confirm it is the correct size. Negative numbers mean the part is too small, and positive numbers mean the part is too big. Which list shows the numbers the mechanic records in order from least to greatest?
1/8 - 3/16 - 1/4 - 1/32 - 5/32 - 1/16
Answer:
A
Step-by-step explanation:
In the figure attached, the complete question is shown.
We have to transform all the fractions to new fractions with the same denominator, as follows:
1/8 *4/4 = 4/32
-3/16 *2/2 = -6/32
-1/4 *8/8 = -8/32
1/32
5/32
-1/16 *2/2 = -2/32
Now we can order the list simply comparing numerators:
-8/32, -6/32, -2/32, 1/32, 4/32, 5/32
or
-1/4, -3/16, -1/16, 1/32, 1/8, 5/32
The order from least to greatest is -1/4 < -3/16 < -1/16 < 1/32 < 1/8 < 5/32 option first is correct.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
We have a measurement data as shown:
1/8, - 3/16, - 1/4, 1/32, 5/32, - 1/16
We can write the above numbers as follows:
0.125, -0.1875, -0.25, 0,03125, 0.15625, -0.0625
The order from least to greatest:
-1/4 < -3/16 < -1/16 < 1/32 < 1/8 < 5/32
Thus, the order from least to greatest is -1/4 < -3/16 < -1/16 < 1/32 < 1/8 < 5/32 option first is correct.
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HELLPP MEMMMEMEMEE pls
Answer:
60
Step-by-step explanation:
Look at the attachment
Timothy and Jonathan work at two different dog - grooming salons in their town. The box plots represent the number of dogs their salons groomed each week over the last three months.
Answer:
Timothy - 12
Jonathan - 10
More varied than
Step-by-step explanation:
Find the volume of the cone whoever answers first gets brainiest!
Answer:
Exact Form: 6 π
Decimal Form: 18.8495559
Step-by-step explanation:
Answer: V= 1/3πr^2*h
Step-by-step explanation:
. A cone has a radius (r) and a height (h)
V= 1/3*base*h
and the base is πr^2
Four sets of data are shown in box-and-whisker plots. Which set has the largest 3rd Quartile value? A) A
B) B
C) C
D) D
Answer:B has the largest third quartile
Step-by-step explanation:
A has a third quartile of 70
B has a third quartile of 85
C has a third quartile of 80
D has a third quartile of 75
please help. I am getting in trouble so please try to be correct...
What is the approximate area of the congruent orange right triangles?
A. 17 in2
B. 31 in2
C. 33 in2
D. 51 in2
Answer: The answer is A 17in2
Step-by-step explanation:
In the question it states that the triangles are congruent (both the same).
first I found the area of the top orange triangle.
the formula to find the area of a triangle is [tex]\frac{1}{2} bh[/tex] (base times Height).
so I did [tex]\frac{1}{2} 3.23* 5.12[/tex] which gave me 8.27.
Since the triangles are congruent (the same) they would both have the same area along with base and height. so I multiplied 8.27 by 2 (because there are two triangles) and got 16.54 which rounds up to 17.
the question also stated to find the APPROXIMATE area (close to the actual, but not completely accurate or exact.)
Answer:
A. 17 in2
Step-by-step explanation:
have a good day ^_^
Solve. What is -11 2/3 x (-4 1/5) =
A. -44 2/15
B. -49
C. 49
D. 44 2/15
Answer:
C
Step-by-step explanation:
-35/3*(-21/5)=35/3*21/5=49
Answer:
B
Step-by-step explanation:
I converted both to decimals and I got -49.
please help with sis i give ponts
Answer:
x +5
Step-by-step explanation:
x² + 10x + 25 = x² + 5x + 5x + 5*5
= x(x + 5) + 5(x + 5)
= (x + 5) (x +5)
[tex]\frac{x^{2}+10x+25}{x+5}=\frac{(x+5)(x+5)}{(x+5)}\\\\=x+5[/tex]
Answer:
x^3+35 over z+5
Step-by-step explanation:
how do u simplify this this is all i can do
PLEASE ANSWER. I will mark as brainliest for fist correct answer.
Step-by-step explanation:
If the total worth of the roll is 50 cents, we know that there are 50 pennies in the roll, and therefore the roll has a height of 50 * 1.52 = 76 mm. The radius of a penny is half its diameter, or 19.05 / 2 = 9.525.
We can find its volume with the formula (πr²) * h, where r and h are the radius and height respectively, and we can approximate 3.14 for π. Plugging these in, we have (3.14 * (9.525)²) * 76 ≈ 2160.8 mm³. Hope this helps!
Answer:
21,661.7 mm³
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
Here, we're given the diameter as 19.05 mm, so the radius is ...
r = 19.05 mm / 2 = 9.525 mm
The thickness of one penny is 1.52 mm, but there are 50 of them in the roll. So the total height of this cylinder is ...
h = (1.52 mm)(50) = 76 mm
__
Using these numbers for radius and height in the volume formula, we find the volume of the roll of pennies to be ...
V = π(9.525 mm)²(76 mm) = 21,661.7 mm³
The approximate volume of the roll of pennies is 21,661.7 mm³.
The graph shows the rate that Tom travels
on his bicycle, with the line traveling through
the point (5,45)
Use this graph to answer questions 1 and 2.
What is the constant of proportionality in the graph?
Answer:
The constant of proportionality is 9.
Step-by-step explanation:
k=y/x This is the formula.
k=45/5 Plug in the x and y coordinates of a point on the line (5,45).
k=9 Here's your answer!
I need the answer to these two questions 12 points !
Rationalise the denominator. Simplify your answer fully. 22 /√ 15 + 2
Answer: [tex]\frac{22\sqrt{15}-44 }{11}[/tex]
Step-by-step explanation:
[tex]\frac{22}{\sqrt{15}+2 } *\frac{\sqrt{15}-2}{\sqrt{15}-2} =\frac{22\sqrt{15}-44 }{(\sqrt{15})^2-(2)^2 } =\frac{22\sqrt{15}-44 }{15-4} =\frac{22\sqrt{15}-44 }{11}[/tex]
HELP ASAP WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER
Answer:
y is 10 degrees the pink one
y = 10
Hope This helps :D
Different forms of a quadratic function can be easier to use
than others. Each form has its own advantages, depending on
the kind of information that's needed for a given purpose.
• Design a chart, flow chart, mind map, or some other
visual to help you organize the information that can
easily be determined about the graph of a parabola
when the function is written in vertex form, standard
form, and factored form.
• Post your visual to the discussion board for other
students.
Whats the rest?
I need an answer
A rectangular prism has a length of 12 feet, a height of 13 feet, and a width of 8 feet. What is its volume, in cubic feet?
Answer:
1248 cubic feet
A peregrine falcon dives for prey. Its elevation changes
by an average of -11.5 meters every second. The dive
lasts for 3.2 seconds. What is the change in the falcon's
elevation? What does this mean in the context of the
problem? Show your work
A house worth $150000 in 1999 increased by a constant rate to its value of $255 000 in 2007. Calculate the home's annual rate of increase in value.
Answer:
13125 per year
Step-by-step explanation:
2007-1999=8
255000-150000=105000
105000÷8=13125
What will be the new coordinates of point B if the red triangle is reflected over the y.Axis
Answer:
(-4, 5)
Step-by-step explanation:
(-4, 5) are the correct coordinates of point B after reflecting the figure over the y-axis.
Please help. What is the height of the box in inches?
Answer:
h = 12 inches
Step-by-step explanation:
The volume is given by
V = Bh where B is the area of the base and h is the height
Substituting V = 1080 and B = 90
1080 = 90h
Divide each side by 90
1080/90 = 90h/90
12 = h
solve for x 3x-3>x+7
Answer:
x>5
Step-by-step explanation:
Describe how to find the 1 1/2-inch mark on a ruler.
Answer:find the one inch mark
Step-by-step explanation:
Go half way over between the 1 and 2
What is the area of a circle with a radius of 6 feet. Use 3.14 for pi. Round to the nearest tenth. Show your steps.
The double number line shows that 1 game of bowling 14 dollars what table represents the cost per game of bowling?
Answer:
The second on is correct
Step-by-step explanation:
Answer:
I can concur with this it is the 2 one :) hope this was helpful
Step-by-step explanation:
What is the area of shape in d use square blocks as the unit
Answer:
24 square blocks
Step-by-step explanation:
What are the slope and the y-intercept of the linear function that is represented by the graph?
On a coordinate plane, a line goes through points (negative 3, 0) and (negative 2, 4).
Answer:
slope is 4 and y-intercept is 12
Step-by-step explanation:
To solve this problem, let's actually just write the equation of the line in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
Slope is change in y divided by change in x. Given (-3, 0) and (-2, 4), the slope will be: (4 - 0) / (-2 - (-3)) = 4 / 1 = 4. So, the slope is m = 4.
Now, our equation so far is y = 4x + b. To find b, plug in, say, -3 for x and 0 for y:
0 = 4 * (-3) + b
0 = -12 + b
b = 12
Then the slope is 4 and the y-intercept is 12.
Answer:
[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} } = \frac{0 - 4}{-3+2} = \frac{-4}{-1} = 4[/tex]
4 is the slope
now we have to plug in the slope intercept formula where m is 4
you can find b by plugging one of the points
I choose (-3,0) since it is easier to work with
0 = 4(-3) + b
0 = -12 + b
12 = b
Our y intercept is 12
finally the slope intercept form is
y = 4x + 12
Slope formula - (y2 - y1)/ (x2-x1)
Slope intercept form = y = mx + b
Step-by-step explanation:
A circle has a radius of 6ft. What is the area of the sector formed by a central angle measuring 300 degrees
Answer:
30π ft^2 which is 94.25 ft^2 to the nearest hundredth.
Step-by-step explanation:
The area of the full circle is π * 6^2
= 36π so:
the area of the 300 degrees sector = 300 * 36 π / 360
= 30 π
:
Which is the solution to –7x > 49?
Answer:
x < -7
Step-by-step explanation:
[tex]-7x>49\\\\\frac{-7x}{-7}>\frac{49}{-7} \leftarrow \text {Division Property of Equality}\\\boxed{x < -7} \leftarrow \text {The symbol switches every time we multiply or divide by a negative in a inequality.}[/tex]
