Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
k
2
and
b
=
1
.
9
(
−
36
k
6
+
k
5
−
k
−
2
)
pls help help me need help!!
Answer:
50 feet
Step-by-step explanation:
[tex]\mid -20 \mid +\mid 30\mid = \\\\20+30= \\\\50[/tex]
Hope this helps!
Answer:
50 feet
Step-by-step explanation:
hope this helps
The figure below is made of two identical triangular prisms. What is the volume of the figure?
Answer:
Please post the figure or image of the triangular prisms.
Step-by-step explanation:
A rectangular room is 2 times as long as it is wide, and its perimeter is 36 meters. Find the width of the room.
The width of the room is equal to 6 m
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: Perimeter=36 m
Let the length of the room be 2x and width of the room be x
Then we have (2x+x)=36
x=12
Thus length =12m & width=6 m
Hence, the width of the room is equal to 6 m
Learn more about the perimeter here:
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Help please! Will give brainly! Explain how the equation y=x^2 differs from the equation y=x
(Hint: plug in z= 1, 2, 3, 4, 5, and explain how the answers differ.)
Answer:
Below.
Step-by-step explanation:
[tex]y=x^2[/tex] is also [tex]y = x*x[/tex]
It will differ for any x besides 1 and 0 because you're multiplying x by itself, which makes the answer greater.
But, it's the same for 1 and 0 because they equal each other when you square them.
Alison, the owner of a regional chain of pizza stores, is trying to decide whether to add calzones to the menu. She conducts a survey of 700 people in the region and asks whether they would order calzones if they were on the menu. 46 people responded “yes.” Create a 90% confidence interval for the proportion of people in the region who would order calzones if they were on the menu.Round your answer to four decimal places.
Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 700
x = 46
p = 46/700 = 0.066
q = 1 - 0.066 = 0.934
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.9 = 0.1
α/2 = 0.1/2 = 0.05
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.05 = 0.95
The z score corresponding to the area on the z table is 1.645. Thus, the z score for a confidence level of 90% is 1.645
Therefore, the 90% confidence interval is
0.066 ± 1.645√(0.066)(0.934)/700
= 0.066 ± 0.0094
The lower limit of the confidence interval is
0.066 - 0.0094 = 0.0566
The upper limit of the confidence interval is
0.066 + 0.0094 = 0.0754
Answer:
(0.0503, 0.0811).
Step-by-step explanation:
The confidence interval for the unknown population proportion p is (p^−z⋆p^(1−p^)n−−−−−−−−√,p^−z⋆p^(1−p^)n−−−−−−−−√). The confidence interval can be calculated using Excel.
1. Identify α. Click on cell A1 and enter =1−0.90 and press ENTER.
2. Thus, α=0.1. Enter the number of successes, x=46, and sample size, n=700, in the Excel sheet in cells A2 and A3. To find the proportion of successes, p^, click on cell A4 and enter =A2/A3 and press ENTER.
3. Thus, p^≈0.0657. Use the NORM.S.INV function in Excel to find z⋆. Click on cell A5, enter =NORM.S.INV(1−A1/2), and press ENTER.
4. The answer for z⋆, rounded to two decimal places, is z⋆≈1.64. To calculate the standard error, p^(1−p^)n−−−−−−−−√, click on cell A6 and enter =SQRT(A4∗(1−A4)/A3) and press ENTER.
5. The answer for the standard error, rounded to four decimal places, is p^(1−p^)n−−−−−−−−√≈0.0094. To calculate the margin of error, z⋆p^(1−p^)n−−−−−−−−√, click on cell A7 and enter =A5*A6 and press ENTER.
6. The answer for the margin of error, rounded to four decimal places, is z⋆p^(1−p^)n−−−−−−−−√≈0.0154. The confidence interval for the population proportion has a lower limit of A4−A7=0.0503 and an upper limit of A4+A7=0.0811. Thus, the 90% confidence interval for the population proportion of people in the region who would order calzones if they were on the menu, based on this sample, is approximately (0.0503, 0.0811).
ΔFGH, the measure of ∠H=90°, the measure of ∠F=15°, and GH = 57 feet. Find the length of FG to the nearest tenth of a foot.
Answer:
FG-220.2 feet
Step-by-step explanation:
The base of the triangle is FH
The perpendicular of the triangle GH=57 feet
The hypotenuse of the triangle is FG
We know that
sin∠F=Perpendicular/Hypotenuse
Hypotenuse= Perpendicular/sin∠F
Hypotenuse= 57/sin∠15
Hypotenuse=220.23109
Round of to nearest tenth
Hypotenuse=220.2 feet
Help me please show your work please
Answer:
27
Step-by-step explanation:
(9)to the 2 power is 81
81/3=27
Answer: 27
(n)^2/3 if n=9
Step-by-step explanation:
first, you do 9*9=81
secound, you put 81/3
third, then you divide 81/3=27
the answer is 27
The diameter of a circle is 20m. Find its area in terms of pie(urgent)
Answer:
100 pie m^2
[tex]solution \\ diameter = 20 \: m \\ radius = \frac{20}{2} = 10 \: m \\ area \: = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: = \pi \times {10}^{2} \\ \: \: \: \: \: \: \: \: \: \: = \pi \times 100 \\ \: \: \: \: \: = 100\pi \: {m}^{2} \\ hope \: it \: helps....[/tex]
Answer:
[tex]= 100\pi {m}^{2} \\ [/tex]
Step-by-step explanation:
[tex]d = 2r \\ 20 =2 r \\ \frac{20}{2} = \frac{2r}{2} \\ r = 10[/tex]
[tex]area = \pi {r}^{2} \\ = \pi \times 10 \times 10 \\ = 100\pi {m}^{2} [/tex]
hope this helps
Simplify the expression.
5^2 - 4 x 4
Answer:
Simplified equation: 25 - 16=9
Step-by-step explanation:
Evaluate the power
25 - 4 * 4
Multiply the numbers
25 - 16
Subtract the numbers
9
If the model was built using a 1-to-64 scale, and the length of the model is 10.5 inches, What is the length of the actual tractor in feet?
Answer:
The length of the actual tractor is:
56 feet.Step-by-step explanation:
Firstly, you must know the conversión between inches and feet:
1 foot = 12 inchesOr
1 inch = 0.0833333 feetHow the paragraph says that the scale is 1 to 64, it means by each unit in the scale, the unit in the actual tractor is 64 times bigger, so, you must multiply the measure of the model by 64 to obtain the actual length in inches:
Length of the actual tractor = 10.5 inches * 64 = 672 inchesThe paragraph says the length must be in feet, so we must apply the conversion given above in a simple rule of three how I'll show below:
1 foot = 12 inchesx = 672 inchesAnd we operate:
x = (672 inches * 1 foot) / 12 inchesAfter we cancel the unit "inches:"
x = 672 feet / 12x = 56 feetFor this reason, we obtain the final value of 56 feet to the actual length of the tractor.
I NEED HELP PLEASE 30 points
Select the correct paint
One linear equation is defined by the points (2, 4) and (1, 1), while the other is defined by the points (2.-2) and (-5). Which point represents
the solution to this system of equations?
What is the length of the unknown leg in the right triangle?
A right triangle has a side with length StartRoot 23 EndRoot yards and hypotenuse with length StartRoot 87 EndRoot yards
Answer:
8Step-by-step explanation:
A right angled triangle is made of three sides with the longest side being the hypotenuse. According to pythagoras theorem;
[tex]hyp^{2} = adj^{2}+opp^{2}[/tex]
Given hypotenuse = [tex]\sqrt{87}[/tex] and another side = [tex]\sqrt{23}[/tex], the third side can be gotten according to the formula above. On substituting;
[tex](\sqrt{87} )^{2} = (\sqrt{23} )^{2} + x ^{2} \\x^{2} = (\sqrt{87} )^{2} - (\sqrt{23} )^{2}\\x^{2} = 87-23\\x^{2} = 64\\x =\sqrt{64}\\ x = 8[/tex]
The length of the unknown leg in the right triangle is 8
Answer:
a. 8 yd
Step-by-step explanation:
Hypotenuse = [tex]\sqrt{87}[/tex]
Length = [tex]\sqrt{23}[/tex]
x² + ([tex]\sqrt{23}[/tex])² = ([tex]\sqrt{87}[/tex])²
x² = ([tex]\sqrt{87}[/tex])² - ([tex]\sqrt{23}[/tex])²
x² = 87 - 23
x² = 64
[tex]\sqrt{x}[/tex]² = [tex]\sqrt{64}[/tex]
x = 8 yd
Max climbs a hiking trail at a constant rate of 18 meters in 15 minutes. The line y = mx can be used to model Max's climb, where y is the distance he climbs and x is the time in minutes. Which is the slope of the line, m?
Answer:
18y=15mx/m
Step-by-step explanation:
that's the set up
Penny received an unexpected $5,000.00 gift from a distant relative. She invests it
in a mutual fund that increases the value of the original investment by 8% each year.
You must show all calculations to earn credit.
How much will her original investment be worth in 10 years?
Answer:
$9,000.00 is her original investment worth in 10 yrs.
5000 x 1.08 ^10 = 10794.6249864
Then subtract -500000 = 5794.62498636
Step-by-step explanation:
Why, because the first year is proved 5000 x 0.08 = 400
= 400 year 1 but cna keep only if stays in investment for 10 years
400 x 10 = 4000 interest on investment
5000+ 4000 = $9,000.00 SI
+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62
At East Middle School 28% of the students are in the band.If 168 students are in the band,how many students go to East Middle School?
Plz Help me.I will give you max points
Answer:
600
Step-by-step explanation:
% of students in the band = 28%
No. of students who are in the band = 168
Let us take the total no. of students as x
So, 28/100×x=168
= 600
Given a= -3, b= 4 and c= -5, evaluate ab + C.
-4
-17
07
Answer:
a= -3, b= 4 and c= -5
ab + c = (-3)4+(-5) = -12 -5 = -17
Answer:
answer is -17
Step-by-step explanation:
all you have to do for this question is to plug the values for a, b, and c in the question.
ab + c would be
(-3)*4+(-5)
-12+(-5)
= -17
therefore the answer is -17
ANSWER ASAP IM GIVING BRAINLIEST!
The trapezoid is composed of a rectangle and two triangles. What is the area of the rectangle? What is the total area of the triangles? What is the area of the trapezoid?
A) 13 cm2; 15 cm2; 28 cm 2
B) 26 cm2; 15 cm2; 41 cm 2
C) 40 cm2; 15 cm2; 55 cm 2
D) 40 cm2; 7.5 cm2; 47.5 cm 2
Step-by-step explanation:
is there any diagram included about this question
the diagram shows the diiferance between my home h and two towns
Answer:
a. 20 mins
b. 30 mins
c. 4mph
Answer:
a)30
b)40
c)36
Step-by-step explanation:
What's the center of the circle with the equation
(x−9)^2+(x+16)^2=25?
(9,−16)
(−9,16)
(3,−4)
(−3,4)
Answer:
Center = (9, -16)
Step-by-step explanation:
So you already have the center in the equation.
The base form is [tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) = center.
Center = (9, -16)
Find the area of the polygon
Answer:
154 square units
Step-by-step explanation:
To find the area of a trapezoid, we need to: [tex](a+b)\frac{h}{2}[/tex] , a and b being 17 and 5 in this case. h is 14. Substitute the variables and there you have it!
If you cut a 12-inch loaf of bread into -inch slices, you would have ______
slices of bread.
Answer:
12 divided by 1/2 = 24
Step-by-step explanation:
Harry likes to grow his own vegetables. He wants to harvest at least 129 squashes during the summer season. If he has already harvested 61 squashes and plans to pick 8 squashes every week, how many weeks will it take him to harvest at least 129 squashes?
Answer:
8.5 weeks
Step-by-step explanation:
to solve, you can start by subtracting 61 from 129 because he has already picked 61.
129 - 61 = 68
then, just divide 68 by 8 to find how many weeks it will take him.
68/8 = 8.5
it will take Harry 8 and a half weeks to harvest at least 129 squashes.
Harry needs 9 weeks to harvest at least 129 squashes.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Let, The number of weeks it will take Harry to harvest at least 129 squashes be 'w'.
Therefore, The inequality that represents the given situation is,
8w + 61 > 129.
8w > 68.
w > 68/8.
w > 8.5.
So, It will take him at least 9 weeks.
learn more about inequalities here :
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A rectangle has a length 3x-1 and a width 2x. What is the perimeterof the rectangle
The perimeter of rectangle is 10x-2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
Answer:
10x-2
Step-by-step explanation:
We know the length is 3x-1. There are two lengths in a rectangle. Therefore, we multiply 3x-1 by 2 to get 6x-2. That is the sum of the two lengths.
Now for the width. Just as with the length there are two widths in a rectangle. After multiplying 2x by 2, we get 4x. That is the sum of the two widths.
To get the perimeter, we need to add both the lengths and both the widths together. Using what we did before, we add 4x + 6x - 2 to get 10x - 2 Hope this helps :)
Solve the equation using the square root property:*
3x2 - 30 = 0
Answer:
Step-by-step explanation:
PLEASE MARK BRAINLY
What are the next two numbers in this pattern?
3,-9, 27, -81, ...
A 243, -729
B -135, 189
C-243, 729
D 135, -189
I really need your help if I get this right I’ll pass
pls help thus is due tmr pls help.
Answer:
4. 30m; the coefficient is 30.
Step-by-step explanation:
According to wiki, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number. For example, 4x +7 has a coefficient of 4 and a variable of 'x'. The product of 6 and 5 is thirty and the product of 30 and 'm' is 30m.
A person who can afford a monthly payment of
and agreed to a
monthly payment of
was most likely the victim of predatory
lending
Answer:
D
Step-by-step explanation:
I need help please, I will give whoever answers this gets brainliest
Hey!!
H (2,1),(4,3),(6,5),(2,7) is not a function.
please see the attached picture
Hope it helps
Good luck on your assignment
WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK)
Answer: $47.83
Step-by-step explanation: Let's turn the percentage into a decimal, move the decimal two times to the right...
6% ⇒ 0.06
0.06 * $50.88 = $3.05
$50.88 - $3.05 = $47.83
Remember x = price before tax...
x = $47.83
A 39 foot ladder is resting against a wall that is 36 feet high. What is
the distance between the base of the ladder and the bottom of the wall?
5 feet
10 feet
15 feet
Answer:
11
Step-by-step explanation:
