Step-by-step explanation:
490.87 square inches
3.4088 square feet
0.37876 square yards
3,166.9 square centimeters
0.31669 square meters
Factorise the following expression:
[tex] {a}^{2} + 10a + 24[/tex]
Step-by-step explanation:
[tex]a^{2} + 10a + 24[/tex]
= [tex]a^{2}[/tex] + 6a + 4a + 24
= a(a + 6) + 4(a + 6)
= (a + 6)(a + 4)
Answer:
solution:
[tex] {a}^{2} + 10a + 24[/tex]
a²+6a+4a+24
a(a+6)+4(a+6)
(a+6)(a+4) is your answer
How many lines of symmetry does the figure below have?
Answer:
C
Step-by-step explanation:
there are 4 of the exact same line going in 4 directions
Find Value of x. The diagram is not to scale.
Answer:
x = 45
Step-by-step explanation:
180 - 106 = 74
74 + 61 = 135
180 - 135 = 45
45 = x
A figure is shown.
4 cm
7 cm
10 cm
2 cm
3 cm
6 cm
Which expression shows how to find the area of the figure?
Answer:
Then it is just a matter of plugging in the values into the formula. For example, if one base is 6 cm long, the other is 10 cm long and the height is 4 cm, the area is then (6 + 10) / 2 x 4 = 16 / 2 x 4 = 8 x 4 = 32 cm 2 (32 square centimeters).
Step-by-step explanation:
A 12-pound bag weighs more than a 200-ounce bag. True or false
Answer:
false
Step-by-step explanation:
200oz= 12.5 pounds
Answer:
false
Step-by-step explanation:
12 pound=192 ounces
Please help, test due in 1 hour! I will give good review and brainliest. :)
Answer:
Step-by-step explanation:
this is about the volume of each size of candle. so the area of the circle , times the height of the candle is the amount of wax needed or it's volume.
area of a circle is = [tex]\pi[/tex][tex]r^{2}[/tex]
then the big candle is [tex]\pi[/tex][tex]2^{2}[/tex] = 12.56637
times 10 for it's height = 125.6637
so that's the big candles volume
then make 20 of those = 2513.27
a small candle is [tex]\pi[/tex][tex]1.5^{2}[/tex] = 7.068583471
and it's 6 cm tall so times 6 = 42.41150082
Now divide the small candle volume into the 20 big ones to see how many small ones can be made
2513.27 / 42.41150082 = 59.259
so just a bit over 59 small candles can be made from 20 big candles
Solve for x.
4x + 6
4x + 6
x = [?]
Answer:
21
Step-by-step explanation:
4x+6+4x+6=180
8x+12=180
8x=168
x=21
Answer:
X=21
Step-by-step explanation:
Well since its just a right angle you really gotta only solve for one since their their the same things.
4x+6=90
Solve the equation
x=21
Even if you do the two together with 180, same thing.
240g= _____ kg
What’s is the answer??
Answer:
0.24
Step-by-step explanation:
Answer:
0.24kg
Step-by-step explanation:
The answer is 0.24 kg since
1 gram equals 0.001 kg
1g = 0.001kg
write the sentence as an inequality. A number x is greater than 6 but less than 10.
Answer:
6>x<10
Step-by-step explanation:
also put a line under both > <
Find the interquartile range of the data. 4,6,4,2,9,1,12,7
Answer:
5
Step-by-step explanation:
1.) Order the numbers from least to greatest (1,2,4,4,6,7,9,12) then find the HIGHEST and LOWEST #.
2.) Find the number in the very middle, which would be 4 and 6. Since it's not one number, add them both together and divide by 2 (4+6=10, 10/2=5). This will be your MEDIAN.
3.) Similar to step 2, find the number in the middle of the median and lowest number. Ignore the median in this. Since it's 2 numbers again, add both together and divide by 2 (2+4=6, 6/2 = 3, making the first interquartile 3).
4.) Repeat step 3, but instead of finding the number in the middle of the median and lowest number, use the highest number instead of the lowest. Since this also happens to be 2 numbers, repeat the same step of adding the numbers and then dividing by 2 (7+9=16, 16/2=8, making the second interquartile 8).
5.) Now, subtract both interquartiles. This should give you your answer (5).
A ball is dropped from the top of a building that is 250 feet tall. The
height h of the ball in feet after t seconds is modeled by the function h =
- 16t2 + 250. How long will it take for the ball to reach a height of 75
feet? Round to the nearest tenth.
hi
-16t²+250 = 75
-16t² = 75 -250
-16t² = -175
t² = -175 /-16
t² = 175/16
Here there si two solutions : t = [tex]\sqrt{175/16}[/tex] and t = - [tex]\sqrt{175/16}[/tex]
However, as time cannot rewind, we will keep only positive solution
So t = [tex]\sqrt{175/16}[/tex]
in seconds it will be : 3.3 seconds
A sandbox is shaped like a regular hexagon. The side lengths are 3 ft and the apothem 3√3 ft.
What is the area of the hexagonal sandbox?
Enter your answer as a decimal to the nearest hundredth.
area = __ft²
Answer:
46.77ft^2
Step-by-step explanation:
Need help ASAP ..... Which of the following pairs best describes a transformation of Figure 1 into Figure 2 followed by a transformation of Figure 2 into Figure 3 ?
Answer:
reflection reflection
Step-by-step explanation:
rotation doesn't make sense and there is no indication of a center of rotation.
so the obvious answer is reflection reflection
A jewerler had a fixed amount of gold
Answer:
ohhhhh and who is the jeweler
A mountain climber started at 150 feet below sea level. What would he need to climb to so that his starting spot and his ending spot were opposites?
Answer:
Your answer is 24.333.
Step-by-step explanation:
..If you round this, it would be 24 or 24.3. you get this answer by doing 3650 divided by 150.
please help me out hereeeeeeeeeeee
Answer:
divide by 1k
Step-by-step explanation:
Answer:
Option B:Multiply by 1,000
Step-by-step explanation:
Since,
1 litre = 1000ml
Hence,
3.2 litre = 3.2 × 1000 ml = 3200 ml
So,
Option B that is to Multiply by 1000 is correct.
Round two decimal places
729015430.40641995
Answer:
729015430.40641995 = 729015430.41
Step-by-step explanation:
Since the 3 decimal place is 6, you round up. If you round up for 0 you get 1. Therefore your answer is 729015430.41.
Mia, Eli, and Doug are
comparing the sizes of
their movie collections.
Ell has twice as many
movies as Mia. Doug has
14 more movies than
Mia. Write an expression
to represent the total
movies the friends have.
Answer:
4m + 14
Step-by-step explanation:
m = # movies Mia has
2m = # movies Eli has
14 + m = # movies Doug has
Total: m + 2m + 14 + m = 4m + 14
Annual starting salaries for college graduates with degrees in business administration are generally expected to have a population standard deviation of $3,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is (a) [1 pt] $500
Answer:
A sample of 139 should be taken.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation of $3,000.
This means that [tex]\sigma = 3000[/tex]
How large a sample should be taken if the desired margin of error is $500?
A sample of n is needed.
n is found when M = 500. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*3000[/tex]
Dividing both sides by 500
[tex]\sqrt{n} = 1.96*6[/tex]
[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]
[tex]n = 138.3[/tex]
Rounding up:
A sample of 139 should be taken.
Which of the following fractions is closest to 0? 1 point 05/12 0 2/3 O 5/6 O 3/4
Answer:
I think 2/3
Step-by-step explanation:
sorry if I'm wrong
Answer:
5/12
Step-by-step explanation:
All the others are more than 1/2. This is the only one that is less than half.
Manny buys hot dog buns for a cookout. he needs 30 buns and he buys bags of 8 buns. how many bags does manny need?
Answer:4
Step-by-step explanation:
30÷8=3.75
3.75=4
Manny need 4 bags.
What is the volume of a sphere with a diameter of 15 cm?
Answer:
V≈1767.15cm³
Step-by-step explanation:
Using the formulas
V=43πr3
d=2r
solving for v
V=16πd3=16·π·153≈1767.14587cm³
hope i helped plz mark me brainlest
Can someone please help me I am a no brain and very dum
Suppose 12% of students surveyed said they have tried riding a zip line.
a. How many would say they have tried riding a zip line if 100 students were surveyed.
A rectangle measures 2 2 /3 inches by 1 5/ 9 inches. What is its area?
The area of the rectangle is A = 4 4/27 inches²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as A
Let the length of the rectangle be L = 2 2/3 inches
Let the width of the rectangle be W = 1 5/9 inches
So , Area of Rectangle = Length x Width
On simplifying , we get
Area of rectangle A = 2 2/3 inches x 1 5/9 inches
A = ( 8/3 ) ( 14/9 )
A = ( 112/27 )
On further simplification , we get
A = 4 4/27 inches²
Hence , the area of rectangle is A = 4 4/27 inches²
To learn more about area of rectangle click :
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Write an explicit formula for an, the n^th term of the sequence 22, 20, 18, ....
Answer:
[tex]a_n=a+(n-1)d[/tex]
Step-by-step explanation:
The given sequence is 22, 20, 18, ...
We need to find the explicit formula for an.
First term is 22
Second term = 20
Third term = 18
We can write the formula as :
[tex]a_n=a+(n-1)d[/tex]
Where
a is 22
d is common difference = 20-22 = -2
Forth term will be :
[tex]a_4=22+(4-1)(-2)\\\\=22-6\\\\=16[/tex]
Hence, the formula is [tex]a_n=a+(n-1)d[/tex].
Find the a. Median b. Median c. Mode and d. Range of the following scores 60, 70, 90, 70, 80, 65, 95, 80, 100, 60
Answer:
median-75
mode-70
range-40
mean-77
Step-by-step explanation:
Please help!!
Find the coordinates of the vertex of the following parabola algebraically. Write your
answer as an (x, y) point.
y = 4x + 56x + 192
Answer:
The vertex of the parabola = (-7 , -4)
Step-by-step explanation:
Step(i):-
Given that the parabola y = 4 x² + 56 x +192
y = 4 (x² + 14 x + 48 )
y = 4 ( x² + 2 × 7 (x) + 49-1)
y = 4 ( x² + 2 × 7 (x) + 49)- 4
we apply the formula
(a +b)² = a² + 2ab + b²
y = 4 ( x + 7 )² - 4
Step(ii):-
The general form of the parabola in algebraically
y = a ( x-h)² +k
The equation
y = 4 ( x + 7 )² - 4
y = 4 ( x-(-7))² - 4
The vertex of the parabola (h,k) = (-7 , -4)
Final answer:-
The vertex of the parabola = (-7 , -4)
If I paid $2.50 in taxes on a $45 item, what percentage rate of taxes did I pay?
Answer:
47.05
Step-by-step explanation:
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Ten field hockey teams are competing in a tournament. Only the top three teams will be recognized as the first place, second place and third place winners. In how many ways could the ranking of the top three teams occur?
Answer:
The ranking of the top three teams could occur in 720 ways.
Step-by-step explanation:
The order in which the teams are ranked is important, that is, for example, Oilers, Flames and Canucks is a different outcome of Oilers, Canucks and Flames. This means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In how many ways could the ranking of the top three teams occur?
Three teams from a set of 10. So
[tex]T = P_{(10,3)} = \frac{10!}{7!} = 720[/tex]
The ranking of the top three teams could occur in 720 ways.
For which of the following sample sizes is the sample median most likely to be above $250,000?
A. n = 10
B. n = 50
C n = 100
D. n = 1000
E Impossible to determine without more information
Answer:
A. n=10
Step-by-step explanation:
your welcome
Answer:
n=100
Step-by-step explanation:
In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000? That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.