Given:
The set is
[tex]A=\{x:x^2=25\text{ and }6x=125\}[/tex]
To find:
Whether the given set is empty or not.
Solution:
A set is called empty set if it has no elements.
We have,
[tex]A=\{x:x^2=25\text{ and }6x=125\}[/tex]
We need to find the solutions of [tex]x^2=25[/tex] and [tex]6x=125[/tex]. The common solutions of these two equations are the elements of given set.
[tex]x^2=25[/tex]
[tex]x=\pm \sqrt{25}[/tex]
[tex]x=\pm 5[/tex]
[tex]x=5,-5[/tex] ...(i)
And,
[tex]6x=125[/tex]
[tex]x=\dfrac{125}{6}[/tex]
[tex]x\approx 20.83[/tex] ...(ii)
From (i) and (ii) it is clear that, there is no common value of x which satisfy both equations [tex]x^2=25[/tex] and [tex]6x=125[/tex].
Since there is no element in set A, therefore, the given get A is an empty set.
Identify the scale factor if the length of a model train engine is 3 feet and the length of the engine itself is 24 feet
Answer:
jHshshshhzysjshhddbhxsbsshshsgshyskinsdisbandedsAnswer:
it should be 1 over 8
Step-by-step explanation:
What’s the area for each figure?
9514 1404 393
Answer:
52.5 in²52.5 in²76.97 in²total: 181.97 in²Step-by-step explanation:
1, 2. The area of each triangle is given by the formula ...
A = (1/2)bh . . . . . for base b and height h
The area of the given triangle is ...
A = (1/2)(7 in)(15 in) = 105/2 in² = 52.5 in²
Triangles 1 and 2 have the same dimensions, so have the same area.
Figure 1 area: 52.5 in²
Figure 2 area: 52.5 in²
__
3. The area of the semicircle is given by the formula ...
A = (1/2)πr² . . . . for a semicircle of radius r
This semicircle has a radius of 7 in, so an area of ...
A = (1/2)(3.1416)(7 in)² ≈ 76.97 in²
Figure 3 area: 76.97 in²
__
The total area is the sum of these:
52.5 in² + 52.5 in² +76.97 in² = 181.97 in²
Composite Figure area: 181.97 in²
_____
Comment on decimal digits
We cannot tell your rounding requirements. Here, we have rounded to the nearest hundredth. If you use the value 3.14 for pi, then your areas for the semicircle and composite figure will end in .93, not .97.
WILL GIVE BRAINLIEST!
At the end of a five day business week, the General Stock Market had a net gain of −50 points. For this five day business week, find the average net gain in points per day. (Enter an exact number.)
Answer:
Average is -10 points per day
Step-by-step explanation:
Average gain = Net gain / Five day
Average gain = -50 / 5
1. Two students went to McDonald's. They each bought the same snack, which included a shake
and a burger. The shakes cost $2 each. In total, they spent $12.
Part A: Enter an equation to represent this equation. Let x represent the cost of one burger.
Part B: Enter the cost of one burger.
Answer:
12-2=10 b=10
Step-by-step explanation:
Which of these graphs is the solution set for the equation y = -4?
Answer:
A
Step-by-step explanation:
A
Only line A is the line that represent y = -4
Round 149,640 to the nearest thousand
Answer:
150,000
Step-by-step explanation:
Hope this helps!!
someone help pls?!? ill give brainliest
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Similar Triangles.
Since here we can see that, similar triangles different by size of the side by 0.5 ration,
hence,the value of x = 0.5 times of MN
hence, x = 5/2
so the mixed fraction representation is given as,
[tex]2 \times \frac{1}{2} [/tex]
mixed fraction ration is 2(1/2)
===> hence option is B.)
Remove all perfect squares from inside the square root.
\sqrt{30b^5}=
Answer:
The answer is b=0 or b=9.085603
Answer:
[tex]b^{2} \sqrt{30b}[/tex]
Step-by-step explanation:
Find the measure of one of the interior angles of a
regular polygon with 12 sides.
A 30°
B 165°
C 150°
D 2160°
I'll give brainliest
Answer:
its 2/3
my bad
Plzzzzzzzzz somebody helppp me with this plzzz...!!!
Card sort rational numbers: order from least to greatest.
10, 15, 8, 23, 11, 5, 3, 22, 2, -1, -3, -7.7, -23, -22 3/8, -7, -8/3, -1/4, 9/8, -31/3, -6, -2.5, 0, -10, -5 5/6, -2, 1, -9, -4, -1.125, 1/4, 2.5, 8/3, 22 3/8, 31/3, 5 5/6, and 7.7
Answer:
3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
Showing Work
Using the given inputs:
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0
Rewriting these inputs as decimals:
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22.375 -7 -2.666667 -0.25 1.125 -10.333333 -6 -2.5 0
Sorting this table by decimal values in order from least to greatest:
-23 -22 3/8 -31/3 -7.7 -7 -6 -3 -8/3 -2.5 -1 -1/4 0 9/8 2 3 5 8 10 11 15 22 23
-23 < -22.375 < -10.333333 < -7.7 < -7 < -6 < -3 < -2.666667 < -2.5 < -1 < -0.25 < 0 < 1.125 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
Therefore, the sorted inputs in order from least to greatest is:
-23 < -22 3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
8(__+__)=8m+8n Please help,
Answer: m and n
8(m+n)= 8m + 8n
Yesenia records the ages of 9 friends. A
box plot of her data set is shown.
Click above the number line to create a
dot plot that could represent Yesenia's
data set
Answer:
did not get the point of the sum
please help me!!
basic Radicals
Answer:
C)
Step-by-step explanation:
[tex]x = \frac{\sqrt{a}}{ \sqrt{b}} = \sqrt{\frac{a}{b}}\\\\[/tex]
Both sides take square
[tex]x^{2}= ( \sqrt{\frac{a}{b}})^{2}=\frac{a}{b}[/tex]
Why might u want to estimate by rounding each value to the nearest $1 instead of to the nearest $5
35 POINTS ANSWER FAST!
what is first three common multiples of 4,9,and 12
Answer:
36 is the answer of this question
Answer:
Methods to Find LCM of 4, 9 and 12
Least Common Multiple of 4, 9 and 12 is the smallest number, which is exactly divisible by all of them without any remainder.
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36.
Multiples of 9 = 9, 18, 27, 36.
Multiples of 12 = 12, 24, 36.
A runner runs at an average speed of 9 m/s for 20 seconds
How far did the runner run in metres?
Answer:
The answer would be 180 meters.
Step-by-step explanation:
We are told the runner runs at 9 m/s for 20 seconds.
Since they run 9 meters per second, all we have to do is multiply 9 by 20, which will give us 180 meters.
9 x 20 = 180
3. There were 567 whos in Whoville. Each who ate 814 bowls of
stew. How many bowls of stew were eaten all together?
If Amy has two apples and drops one, how many does she have then?
Answer:
one
Step-by-step explanation:
Answer:
one
Step-by-step explanation:
one
How can you write the expressiHow can you write the expression 7(b – 2) in words?
A.
two subtracted from the quotient of seven divided by b
B.
seven added to difference of b minus two
C.
the quotient of seven divided by b minus two
D.
two subtracted from seven times b
E.
the product of seven and the difference of b minus two
on 7(b – 2) in words?
Answer:
E.
the product of seven and the difference of b minus two
Answer:
The correct answer would be E
Step-by-step explanation:
the product of seven and the difference of b minus two
I did the test and got it right.
x + y = -6 The slope is and the y-intercept is
Gloria rides a bike 8 miles in 40 minutes. Nanette rides a bike 5 miles in 30 minutes. Who bikes faster? Explain.
Answer:
Nanette
Step-by-step explanation:
Nanette.
Gloria's rate = 40/8 = 5mph
Nanette's rate = 30/5 = 6mph
Hope that helps!
Answer:
gloria
Step-by-step explanation:
40 divided by 8 = 5
30 divided by 5 =6
in a 2liter of bottle
87 centiliters of oil and 4.1 deciliters. how much more liquid needed to fill the bottle
Answer:
i also don't know
Step-by-step explanation:
4(y – 3) = y – pls help me on this question
Answer:
y=4
Step-by-step explanation:
Could someone possibly help me with this question? Thanks
Answer:
[tex]12\sqrt{2}[/tex]
good luck, hope this helps :)
Michelle owns a hair salon. She has 150 customers per month. On average, the price Michelle
charges her customers is £20. The cost to Michelle of providing each hair cut is £4. Michelle
has other costs of £500 for things like advertising and rent,
HOW MUCH PROFIT DOES MICHELLE'S HAIR SALON MAKE IN 3 MONTHS?
If , then what is mto the nearest degree?
Answer:
70 degrees
Step-by-step explanation:
If cosm<A = 342/1000, we are to find the value of a
Take arccos of both sides
cosm<A = 342/1000
cosm<A = .342
arccos(cosm<A) = arccos(0.342)
m<A = arccos(0.342)
m<A = 70 degrees
Hence the measure of m<A is 70 degrees
What graph represents the inequality? Whoever answers first gets brainliest!
Answer:
B
We know the circle is closed
Becca joins a gym that charges a $150 starting fee, plus $50 per month she will quit before she’s payed the total of $1000, How many months can she work out at the gym?
Answer:
I believe it 13
Step-by-step explanation:
150+50= 200 then 100= two months so i added up till i got 13 weeks
is it a, b, c, or d?
Answer:
The answer is B. 4,7.5,8
Step-by-step explanation:
Becouse A and C Both of them is Right-angled triangle and D is Obtuse triangle
