Answer:
The answer in the expanded form is (0.9 + 0.07 + 0.007) millimeters
Step-by-step explanation:
Here, we want to write the size of the diameter of the sediment in the expanded form without exponents
Thus, we have;
0.977 = 0.9 + 0.07 + 0.007
The size of Anna's sample in expanded form can be written be expanding the decimal places.
The expanded form without exponents is (0.9 + 0.07 + 0.007).
Given:
The given diameter is 0.977 millimeters.
Separate the two decimal place of given number.
[tex]0.977=0.9+0.077[/tex]
Separate the three decimal place of given number.
[tex]0.977=0.9+0.07+0.007[/tex]
The expanded form without exponents is (0.9 + 0.07 + 0.007).
Learn more about number expansion here:
https://brainly.com/question/1665479
The NFL regulation extra point is kicked 12 yards from the goal how many inches away from the goal is the extra point kick
Answer: 432 inches
Step-by-step explanation: 12 x 36 = 432.
Answer:
88
Step-by-step explanation:
100 - 12
On a number line , the line segment from Q to S has endpoints Q at 15 and S at 40. Point R partitions the line segment from Q to S in a 6:3 ratio. What is the location of point R?
Answer:
31.67
Step-by-step explanation:
Given :
Segment QS
Endpoints for Q and S
Q = 15
S = 40
R partitions QS in a 6 : 3,
Sum of ratio = (6 + 3) = 9
Position of R:
(Q's proportion/total ratio) * (S - Q) + Q
6/9 * (S - Q) + Q
6/9 * (40 - 15) + 15
2/3 * 25 + 15
50/3 + 15
16.67 + 15
31.67
Will you do the same thing these students did? What are the other ways that you can help less fortunate people?
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs nine times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (Let x, y, and z be the dimensions of the aquarium. Enter your answer in terms of V.) (x, y, z)
Answer:
The dimensions of the aquarium that minimize the cost of the materials:
[tex]x=y = \sqrt[3]{\frac{2V}{9}} , z = \sqrt[3]{\frac{81V}{4}}[/tex]
Step-by-step explanation:
Let x, y and z be the dimensions of aquarium .
Surface area of an aquarium = xy+2yz+2xz
Volume of aquarium V= [tex]Length \times Breadth \times Height =xyz----A[/tex]
We are given that slate costs five times as much (per unit area) as glass
So, Cost function : C=9xy+2yz+2xz
Now we will use langrage multiplier to find the dimensions of the aquarium that minimize the cost of the materials.
[tex]\nabla C = \lamda \nabla V\\(\frac{\partial C}{\patial x},\frac{\partial C}{\partial y}, \frac{\partial C}{\partial z})=\lambda(\frac{\partial V}{\patial x},\frac{\partial V}{\partial y}, \frac{\partial V}{\partial z})\\(9y+2z,9x+2z,2y+2x)=\lambda(yz+zx+xy)[/tex]
So,[tex]9y+2z=\lambda yz -----1\\9x+2z=\lambda zx -------2\\2y+2x=\lambda xy --------3[/tex]
Multiply 1 ,2 and 3 by x,y and z respectively.
[tex]9xy+2xz=\lambda xyz ------4\\9xy+2zy=\lambda zxy -------5\\2yz+2xz=\lambda xyz --------6[/tex]
Now equate 4 and 5
9xy+2xz=9xy+2yz
x=y
Substitute y=x in 5 and 6 and equate them
[tex]9x^2+2xz=2xz+2xz\\9x=2z\\\frac{9x}{2}=z[/tex]
Substitute the values in A
[tex]Volume = xyz=(x)(x)(\frac{9x}{2})\\Volume V = \frac{9x}{2}x^3\\\sqrt[3]{\frac{2V}{9}}=x\\x=y=\sqrt[3]{\frac{2V}{9}}\\z=\frac{9(\sqrt[3]{\frac{2V}{9}})}{2}\\z=\sqrt[3]{\frac{81V}{4}}[/tex]
Hence,
The dimensions of the aquarium that minimize the cost of the materials:
[tex]x=y = \sqrt[3]{\frac{2V}{9}} , z = \sqrt[3]{\frac{81V}{4}}[/tex]
The smallest angle in a triangle is 1/3 as large as the largest angle. The third angle is twice the smallest angle. Find the three angles.
Let the largest angle in a triangle be x .
Then :-
The smallest angle :-
[tex] \frac{1}{3} x[/tex]
The third angle :-
[tex] \frac{2}{3} x[/tex]
Let us find the measure of the three angles .
Sum of all angles in the interior of a triangle = 180°
An equation to find the value of each angle :-
[tex]x + \frac{1}{3} x + \frac{2}{3} x = 180[/tex]
[tex]x + \frac{3}{3} x = 180[/tex]
[tex]x + \frac{1}{1} x = 180[/tex]
[tex]x + 1x = 180[/tex]
[tex]x + x = 180[/tex]
[tex]2x = 180[/tex]
[tex]x = \frac{180}{2} [/tex]
[tex]x = 90[/tex]
Which means :-
Measure of the largest angle = 90°
Measure of the smallest angle :-
[tex] \frac{1}{3} \times 90[/tex]
[tex] = 30°[/tex]
Measure of the third angle :-
[tex] \frac{2}{3} \times 90[/tex]
[tex] = 60°[/tex]
Therefore :-The measure of the largest angle = 90°
The measure of the smallest angle = 30°
The measure of the third angle = 60°
ill mark brainleist
A department store sells logo shirts at an original price of $20. Every month that a shirt doesn’t sell, the store reduces the selling price by 25%. The store employees get a 50% markdown off the current price. Macy works at the store and sees the shirts going into the second markdown month. She decides that since 25% + 25% + 50% = 100%, the shirts must be free to employees. What is Macy’s error?
Answer:
25%
Step-by-step explanation:
Macy’s error is that the store employees get a 25% markdown off the current price. In the first markdown (i.e 50%) should have been reduced to 25% in the second markdown, instead of being totally free.
find the number of terms in the arithmetic sequence
-7,-5.6,-4.2,-2.8,1.4,...,103.6
Answer:
80
Step-by-step explanation:
use the formula of arithmetic progression
How do you solve substitution to the equation y=-2x +1 4x+y=9
Answer:
Step-by-step explanation: 2x+y=1
4x+y=9
we substract equals. 2x=8 so x=4 , y=-7
y/15- 2/3= 4/5
Whats the answer for y
Please help! What’s the answer to these questions
Answer: 1. 6,341
2. 634.1
3. 63.41
Step-by-step explanation:
Is it A
B
C
D
Will be marked as crown
The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles with a diameter of w and the roof is half a cylinder. Consider greenhouse A with floor dimensions w=16 feet and l =18 feet.
A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?
9514 1404 393
Answer:
96 cubic feet
Step-by-step explanation:
A volume that is 16 ft by 18 ft by 1/3 ft will be ...
V = LWH
V = (16 ft)(18 ft)(1/3 ft) = 96 ft³
96 cubic feet of concrete are needed.
c/4=16 pls answer quick
Answer:
c = 64
Step-by-step explanation:
Multiply each side by 4 to cancel out the 4 under c. It should now look like this: c = 64I hope this helps!
What is 13 5/8 - 3 2/3?
Round 24.9652 to
1 decimal Place
Answer:
2.5 one decimal rounding off means to make it to one decimal place.the no is 24.9652 if you want to round of then you have to put decimal after 2 only then it will be one decimal place .this is because when we see a number after the point greater than 5 then we add 1 to the right side .now if we add 1 to the right side of 24.9652 by rounding off and making it to one decimal place then it will be 2.5.
Jamal buys 33 bolts that cost $0.38 each,hich equation represents the best estimate for the total cost of all of the bolts
Answer:
12.54
Step-by-step explanation:
Please Answer ASAP!!
Answer:
0.17
Step-by-step explanation:
hope i helped
3 step equations, I really need help on these with all the work:
1.
4x+y+5z=-9
x-4y-2z=-2
2x+3y-2z=21
2.
x-7y+3z=17
5x+2y-2z=-57
3x-10y-z=-11
Answer:
fdsfskdfdsjg,dgkdfjkgjkdfgjkfjkdghdkj
Step-by-step explanation:
Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)
Answer:
Equal angles; Vertical angles ( which means equal ) ; Angles do not share special relationship; and right angles.... Hope this helps!
Step-by-step explanation:
What is 3 ÷ 2/5??
The quotient is 7 and ???
Answer:
7 and 5
Step-by-step explanation:
3 divided by 2/25 will be 15/2 in fraction form, and will be 7.5 in decimal form.
Answer:
The quotient is 7 1/2.
The signal from a certain satellite takes 0.06384 seconds to reach Earth. Estimate using scientific notation:
Answer: -63E2
Step-by-step explanation: i think
You start at (6,7) and move 5 units right and 4 units up.
Plz help me
Answer:
10, 12
Step-by-step explanation:
6 +4 up 6 is 10
5+7 right 5 is 7
Answer:
(11,11)
Step-by-step explanation:
You start by moving 5 units right which will get you to (11,7) then by moving 4 units up you get to (11,11)
Write an inequality for the following statement.
5 is less than or equal to y
Answer:
5 ≤ y
Step-by-step explanation:
A moving truck rental company charges $26.95 to rent a truck, plus $0.8 per mile. Suppose the function C(d)gives the total cost of renting the truck for one day if you drive 40 miles.Give the formula for C(d). Make sure to give the complete formula as an equation.CorrectGive the total rental cost if you drive the truck 40 miles. Give the function notation in the first box, the answer in the second box, and choose the correct units from the third box.Correct
PLEASE HELP ASAP
IT AN EMERGENCY
We're given two pairs of congruent sides, and a pair of congruent angles. The angles are not between the two congruent sides. So we don't have enough information to know if the triangles are congruent or not. SSA is not a valid congruence theorem. This is because there are some cases where two triangles are possible leading to ambiguity.
If the marked angles were between the tickmarked sides, then we could use SAS.
(-35) + (-4)
I need help
Answer:
-39
Step-by-step explanation:
i think this is the answer
Answer:
-39
Step-by-step explanation:
(-35) - 4
We subtract 4 from -35 because the negative cancels out the positive.
By subtracting, you get -39
I hope this helped, please mark Brainliest, thank you!
14 teachers after you were surveyed about the music listening habits. Here is their data in HOURS:
0,0,0.5,0.5,0.5,1,1,1,1,1,3,4,6,8.5
Use a calculator to calculate the following standard deviation of this data. What is the value? The standard deviation of U is 1.9 hours. Compare the standard deviation you calculated for teachers with that of students. What does that mean about the distribution for teachers vs. students?
Using a calculator, you should get a sample standard deviation of approximately 2.5 hours
If you want to find the standard deviation by hand, you need to do the following steps
Find the mean muSubtract each data value from the mean to get (x-mu)Square each result from step 2, so we now have (x-mu)^2Add up each square from the previous stepDivide that result over n-1. In this case n = 14 is the sample size. This computes the sample variance.Finally, apply the square root to get the sample standard deviation.The teacher data set has a sample standard deviation of roughly 2.5 hours; compare this with the sample standard deviation of the students 1.9 hours, and we see that the teacher data set is more spread out. The larger the standard deviation is, the more spread out the data set will be.
How far will a car driving at 55 miles per hour travel in 24 minutes? A 2.29 miles B 22 miles C 66 miles D 1,320 miles
Question a) Compare the Variability of Expenditure of Families in Two Towns given as follows: Number of families Expenditure (Rupees) 21-30 31-40 41-50 51-60 61-70 71-80 81-90 Town A 3 61 132 153 140 51 2 Town B 2 14 20 27 28 7 2
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Number of families __________Expenditure
______midpoint (x) ____Town A __Town B
21-30 __25.5____________3 _______2
31-40 __35.5____________61 ______14
41-50 __45.5___________132 _____ 20
51-60 __55.5__________ 153 ______27
61-70 __65.5__________ 140 ______ 28
71-80 __75.5___________ 51 _______ 7
81-90 __85.5___________ 2 _______ 2
The variability is the variance and standard deviation :
The variance (s):
√Σ(x - m)²/Σf(x)
Town A:
m = Σ(X * f(x)) / Σf ; Σf = 542
Σ x * f(x) = (25.5*3) + (35.5*61) + (45.5*132) + (55.5*153) + (65.5*140) + (75.5*51) + (85.5*2)
= 29931 / 542
= 55. 22
Σf(x - m)² / Σf - 1 = [3(25.5-55.22)^2 + 61(35.5-55.22)^2 + 132(45.5-55.22)^2 + 153(55.5-55.22)^2 + 140(65.5-55.22)^2 + 51(75.5-55.22)^2 + 2(85.5-55.22)^2] / 541
= 76458. 4928 / 541
Variance = 141.32808
Standard deviation = √variance
Standard deviation = √141.32808
Standard deviation = 11.89
TOWN B:
m = Σ(X * f(x)) / Σf ; Σf = 100
Σ x * f(x) = (25.5*2) + (35.5*14) + (45.5*20) + (55.5*27) + (65.5*28) + (75.5*7) + (85.5*2)
= 5490 / 100
= 54.90
Variance :
Σf(x - m)² / Σf - 1 = [2(25.5-54.90)^2 + 14(35.5-54.90)^2 + 20(45.5-54.90)^2 + 27(55.5-54.90)^2 + 28(65.5-54.90)^2 + 7(75.5-54.90)^2 + 2(85.5-54.90)^2] / 99
= 16764 / 99
= 169.33
Standard deviation = √variance
Standard deviation = √169.3333
Standard deviation = 13.013
From the result above, Town A has lesser variability than Town B due to the slightly lower variance and standard deviation values.
Which value is a solution to the inequality 2x − 5 < −12?
Question 21 options:
0
−4
−2
3
