Answer:
The time taken by the four workers to paint the room is 1.5 hours.
Step-by-step explanation:
3 workers can paint a room in 2 hours
So, 1 worker can paint the same room in 6 hours.
Now the number of workers is 4.
So, the time in which the 4 workers can paint the same room is
= 6/4 = 1.5 hours
Help ASAP 100 PTS!!!!
Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer. Please show all work and explain it thourougly.
Answer:
39
Step-by-step explanation:
Find the value of f(x) at both points
f(3) = 3(3)³ + 1 = 82
f(1) = 3(1)³ + 1 = 4
---------------------------
Average Rate of Change is just like slope
Divide the change in f(x) by the change in x
r = (82 - 4) / (3 - 1)
r = 78/2
r = 39
help please. I cant figure it out and it’s hard.
Answer:
The student is comparing the different heart rates due to the temperature. The independent variable is the Temperature and the dependent variable is the beats of the heart from the larva.
A soup pot in the shape of a cylinder has a radius of 5 inches and a
height of 10 inches. How much soup can the pot hold? *
A) 750.8 cubic inches
B) 785.0 cubic inches
C) 525.7 cubic inches
D) 780.0 cubic inches
Answer:
B)785.0 cubic inches
Step-by-step explanation:
amount of soup the pot can hold is equal to its volume
Volume of a cylinder is πr²h
π(5inches)²x 10inches
785.39816339744830
~785.0 cubic inches
im in need of help for this problem (listing BRAINLIST and giving points) :)
I hope this is help full to you
Which of the following figures has reflectional symmetry?
Help !!
Answer:
Figure D. (A)
When you flip the figure across like a mirror, it remains the same shape as the other side. An easy way to determine this is by cutting a line down the middle.
Reflectional symmetry states that if there exists at least one line that divides a figure into two halves such that one-half is the mirror image of the other half.
Edit: Typo!
Dave Bowers collects U.S. gold coins. He has a collection of 49 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $690, how many of each denomination does he have?
How many $10 coins does he have?
How many $20 coins does he have?
Someone help me please
whats the square root of 9 over 16
Answer:
± [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{\frac{9}{16} }[/tex] = [tex]\frac{\sqrt{9} }{\sqrt{16} }[/tex] = ± [tex]\frac{3}{4}[/tex] ← note plus or minus
Answer:
3/4
Step-by-step explanation:
The square root of 9 is 3 and the square root of 16 is 4 so you get an answer of 3/4.
Hope it helps
ASAP PLZ PLZ PLZ PLZZZZZZ
Answer:x=( y-p-mq)/m
Step-by-step explanation:
y-p=m(x-q)
x-q= y-p/m
x=y-p/m=q= y-p+mq/m
x= y-p+mq/m
=
Evaluating an algebraic expression: Whole nu
Evaluate the expression when b=38 and c=8,
B/2+3c^2
Simplify your answer as much as possible.
9514 1404 393
Answer:
211
Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic.
b/2 +3c^2 = 38/2 +3(8^2) = 19 +3·64 = 211
Answer:
211
Step-by-step explanation:
given : b = 38 and c = 8
Evaluate :
= b/2 + 3c²
= 38 / 2 + 3 ( 8 )²
= 19 + 3 × 64
= 19 + 192
= 211
A stack of squares has 170 squares in the bottom row, 156 in the second row from the bottom, 142 in the third row from the bottom and 128 in the fourth row from the bottom. How many squares will there be in the 11th row from the bottom ? - a table always makes these sums easier!)
9514 1404 393
Answer:
30
Step-by-step explanation:
The sequence of square counts is ...
170, 156, 142, 128
The differences from one row to the next are ...
-14, -14, -14
We see that the differences are constant, so we know the sequence is an arithmetic sequence with first term 170 and common difference -14. This means the n-th term is ...
an = a1 +d(n -1) . . . . . . for first term a1 and common difference d
an = 170 -14(n -1)
For n=11, the number of squares is ...
a11 = 170 -14(11 -1) = 30
There will be 30 squares in the 11th row.
A cone-shaped paper drinking cup is to be made to hold 24 cm3 of water. Find the height and radius of the cup that will use the smallest amount of paper. (Round your answers to two decimal places.)
Answer:
I. Radius, r = 2.90 cm
II. Height, h = 4.10 cm
Step-by-step explanation:
Given the following data;
Volume of cone = 24 cm³
To find the height and radius of the cup that will use the smallest amount of paper;
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex] ......equation 1
Where;
V is the volume of the cone.
r is the radius of the base of the cone.
h is the height of the cone.
Substituting into the formula, we have;
[tex] 36 = \frac{1}{3} \pi r^{2}h[/tex]
Multiplying both sides by 3, we have;
[tex] 108 = \pi r^{2}h[/tex]
Making radius, r the subject of formula, we have;
[tex] r^{2} = \frac {108}{ \pi h} [/tex]
Taking the square root of both sides, we have;
[tex] r = \sqrt { \frac {108}{ \pi h}} [/tex]
Mathematically, the lateral surface area of a cone is given by the formula;
[tex] LSA = \pi rl [/tex] ......equation 2
Where;
r is the radius of a cone
l is the slant height of a cone.
To find the slant height, we would apply the Pythagorean' theorem;
[tex] l = \sqrt {r^{2} + h^{2}} [/tex]
Substituting r into the above equation, we have;
[tex] l = \sqrt {\frac {108}{\pi h} + h^{2}} [/tex]
Substituting the values of r and l into eqn 2, we have;
[tex] LSA = \pi * \sqrt { \frac {108}{ \pi h}} * \sqrt {\frac {108}{\pi h} + h^{2}} [/tex]
Simplifying further, we have;
[tex] LSA = \sqrt {108} * \sqrt { \frac {\pi h^{3} + 108}{\pi h}} [/tex]
[tex] LSA = \sqrt {108} * \sqrt { \frac {108}{ h^{2}} + \pi h}} [/tex]
Next, to find the value of h, we differentiate the above mathematical equation with respect to h;
[tex] \frac {dS}{dh} = \sqrt {108} * (\pi - \frac {216}{h^{3}}) * (\pi h + \frac {108}{h^{2}}) [/tex]
Limiting [tex] \frac {dS}{dh} [/tex] w.r.t 0;
[tex] \frac {dS}{dh} = 0 [/tex]
[tex] (\pi - \frac {216}{h^{3}}) = 0 [/tex]
Rearranging the equation, we have;
[tex] \pi = \frac {216}{h^{3}} [/tex]
We know that π = 3.142
[tex] 3.142 = \frac {216}{h^{3}} [/tex]
Cross-multiplying, we have;
[tex] 3.142h^{3} = 216 [/tex]
[tex] h^{3} = \frac {216}{3.142} [/tex]
[tex] h^{3} = 68.75 [/tex]
Taking the cube root of both sides, we have;
Height, h = 4.10 cm
Lastly, we find the value of r;
[tex] r = \sqrt { \frac {108}{ \pi h}} [/tex]
[tex] r = \sqrt { \frac {108}{3.142 * 4.10}} [/tex]
[tex] r = \sqrt { \frac {108}{12.88}} [/tex]
[tex] r = \sqrt {8.39} [/tex]
Radius, r = 2.90 cm
The height and radius of the cup that will use the smallest amount of paper is;
Radius = 2.52 cm
Radius = 2.52 cmHeight = 3.58 cm
Let us first state some relevant formulas;
Volume of a cone is;
V = ⅓πr²h
Surface area of a cone is;
S = πrL
Where L is Slant height and has a formula;
L = √(h² + r²)
We are told that the cone is to hold 24 cm³. Thus; V = 24 cm³
24 = ⅓πr²h
πr²h = 72
r = √(72/πh)
Putting √(72/πh) for r in the Slant height equation gives;
L = √(h² + (72/πh))
Thus;
S = π × √(72/πh) × √(h² + (72/πh))
Differentiating with respect to h gives;
dS/dh = √72 × (π - 144/h³) × 1/√(πh + 72/h²)
At dS/dh = 0,we will have;
(π - 144/h³) = 0
Thus;
h³ = 144/π
h = 3.58 cm
Thus, from r = √(72/πh);
r = √(72/(π × 3.58))
r = 2.52 cm
Read more at; https://brainly.com/question/4405937
Pythagorean theorem
Answer:
hello
Step-by-step explanation:
a²+b²=c²
16²+b²=65²
256+b²=4225
b²=4225-256
b²=3969
[tex]b = \sqrt{3969}[/tex]
b=63
b=63 mi
have a nice day
Answer:
b = 63
Step-by-step explanation:
In a right angled triangle, hypotenuse squared is equal to the sum of the square of the other sides.
c² = a² + b² (where c is the hypotenuse, and a and b are the other two sides)
c = 65 , a = 16 b = ?
65² = 16² + b²
4225 = 256 + b²
4225 - 256 = b²
b² = 3969
b = [tex]\sqrt{3969}[/tex]
b = 63
check
c² = 16 ² + 63²
= 256 + 3969
= 4225
c = √4225
c = 65
What would the next figure in the geometric pattern below be?
Answer:
C.
Step-by-step explanation:
What inequality is shown by the graph? (slope form)
Answer:
y < [tex]\frac{1}{4} x+3[/tex]
Step-by-step explanation:
(-4, 2) (4, 4)
4 - 2 = 2
4 - - 4 = 8
slope = 1/4
y intercept is 3 because the inequality goes up 3 units
Find the value of x.
9514 1404 393
Answer:
103
Step-by-step explanation:
The sum of angles in a quadrilateral is 360°, so the measure of x° is ...
x° = 360° -127° -90° -40° = 103°
x = 103
Answer:
The measure of x is 103 °.
Step-by-step explanation:
Concept :- As we know that sum angles of quadrilateral is 360 ° so, to find the measure of x.
Firstly add all the angles that we have given and subtract from 360 ° and we get the vue of x.
Solution :-We know that The sum angles of quadrilateral is 360 ° , Hence, value of x =
x + 127 ° + 90 ° + 40 ° = 360 °
x + 257 ° = 360 °
Subtract 257 ° from 360 °
x = 360 ° - 257 °
x = 103 °
Therefore, The measure of x is 103 °.
The missing number in the arithmetic sequence: 20,
36, 44 is:
None of these choices are correct
26
27
28
29
Answer:
28
Step-by-step explanation:
it is missing where ?
based on the answer options I guess it is missing between 20 and 36.
if that is true, then the answer is 28.
the difference between 36 and 44 is 8.
the difference between 20 and 36 is 16.
the right answer should cut the interval of 16 into 2 parts (first logical approach to cut it in 2 halves of 8) and be related to the next interval between 36 and 44 (8).
the solution covering both considerations is the middle of the large interval = 20 + 8 = 28.
Which of these fractions are equivalent to -3/2
What is the value of h(2)?
0 -2
0 -11
ОО
O 3
Need help fast!!!
Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation:
S
−
1.3
x
=
6
gives the amount of sales (
S
) of statin in billions of dollars
x
years after 1998. According to this equation, how much will/did people in the U.S. spend on statins in the year 2008?
Answer:
19 billion dollars
Step-by-step explanation:
Given the equation :
S - 1.3x = 6
Where, S = amount of sale of statin in billions of dollars ; x = number of years after 1998
Amount spend in 2008
x = 2008 - 1998 = 10
Put x = 10 in the equation ;
S - 1.3x = 6
S - 1.3(10) = 6
S - 13 = 6
S = 6 + 13
S = 19
People will spend about 19 billion dollars on statin in 2008
This one says (cos) , help it’s timed ! Take me through the process !
Answer:
4/5 is ur answer
Step-by-step explanation:
ok just like the last one but this one is COS
ok so we know that COS is A/H
A= adjacent and ofc H= hypotenuse
so lets see its the COS of a which means it will be A/H
A= 4 and the H=5
Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.
Answer:
ASA
Step-by-step explanation:
The two small angles which are the base angles of the small triangle in the middle are marked as equal.
The two large angles of the two triangles are also marked as conguent.
The base of the small triangle in the middle is common to both the larger triangles by the reflexive property (a line is always equal to itself). The line is between two sets of congruent angles. Therefore the two large triangles are congruent by ASA
Explanation:
It might help to peel the triangles apart as I have done so below.
We have two pairs of congruent angles, as shown by the distinct angle markers. Between the congruent angles, we have a pair of congruent sides.
The side (S) is between the angles (A), which is why we use ASA.
Note: SAA is slightly different where the congruent sides are not between the congruent angles.
The average marks for 25 students in a mathematics was was 48.
what was the total marks scored by the students?
A student who scored 84 marks was absent.
what was would be the average of the remaining students?
Answer:
132
Step-by-step explanation:
48
+ 84
--------
132
_____
You are going to a 1940 mile trip, and your car get about 28 miles per gallon. Gas prices along your route average $2.95 per gallons. Calculate the cost of the trip
Answer: [tex]\$\ 204.4[/tex]
Step-by-step explanation:
Given
The total length of the trip is [tex]l=1940\ \text{miles}[/tex]
Car average is 28 miles per gallon
So, car requires
[tex]\Rightarrow \dfrac{1940}{28}=69.285\ \text{gallon}[/tex]
Price of gas is $2.95 per gallons
[tex]\therefore \text{cost is =}69.285\times 2.95\\\Rightarrow \$\ 204.4[/tex]
So, the cost of the trip is [tex]\$\ 204.4[/tex]
Please Help me! I am giving 100 Points!
This is BEDMAS. B= BRACKETS E= EXPONENTS D= DIVIDE M=MULTIPLY A= ADD S= SUBTRACT. Do them in order.
1=
Answer:
Step-by-step explanation:
3) (15/3)^2+14+6+3^2
=5^2+14+6+3^2
=25+14+6+3^2
=25+20+3^2
=25+20+9
=25+29
=54
Answer:
3. 54
4. -524
5. 59
8. 60
9. 78
10. 61
Step-by-step explanation:
3. (15 / 3)^2 + ((14 + 6) + 3^2)
(5)^2 + ((20) + 9)
25 + 29 = 54
4. ((11 + 2) - (24 / 2)^2) x 2^2
((13) - (12)^2) x 4
(13 - 144) x 4
-131 x 4 = -524
5. ((4 + 3)^2 + 6) - 5 + 3^2
(7^2 + 6) - 5 + 9
(49 + 6) - 5 + 9
55 - 5 + 9
50 + 9 = 59
8. (6^2 + (24 / 3 + 5^2)) - 3^2
(36 + (8 + 25)) - 9
(36 + 33) - 9
69 - 9 = 60
9. ((10 - 4)^2 x 2) + 2 + 2^2
(6^2 x 2) + 2 + 4
(36 x 2) + 2 + 4
72 + 2 + 4 = 78
10. (7^2 + (16 / 8 + 2^2)) + 3^2
(49 + (2 + 4)) + 9
(49 + 6) + 9
55 + 9 = 61
Suppose a binomial trial has a probability of success of 0.9, and 750 trials are
performed. What is the standard deviation of the possible outcomes? Round
your answer to two decimal places.
A. 13.69
B. 13.42
C. 8.22
D. 12.55
fine ,it is a A ok,I am sorry for using rude words on you
b b
A jar of her 'low-sugar' jam contains 102 grams of sugar.
What is the percentage of sugar in her 'low-sugar' jam?
Answer:
[tex]\% Low = 30 \%[/tex]
Step-by-step explanation:
Given
[tex]Total = 340g[/tex] -- missing
[tex]Low = 102g[/tex]
Required
% of sugar in Low
This is calculated as:
[tex]\% Low = \frac{Low}{Total} * 100\%[/tex]
So, we have:
[tex]\% Low = \frac{102g}{340g} * 100\%[/tex]
[tex]\% Low = \frac{102}{340} * 100\%[/tex]
[tex]\% Low = \frac{10200}{340} \%[/tex]
[tex]\% Low = 30 \%[/tex]
If X + Y means X is the brother of Y, X - Y means X is the sister of Y, and X * Y means X is the father of Y, then which of the following means that C is the son of M?
(1) M-N * C + F
(2) F-C + N * M
(3) N +M-F * C
(4) M * N-C + F
(5) M-N+F * C
Answer:
4
Step-by-step explanation:
Based on this question, addition means the first number is the brother of the other, subtract means the first number is the sister of the other and multiplying means the first number is the father of the other.
We see 4 is literally multiplying M by N-C, meaning N is the sister of C and M is the father of N and C.
Need help with this please!
38% of students taking exam P will pass the exam. 5% of students are taking exam P having used ADAPT. 79% of the students using ADAPT pass the exam. What is the probability of passing the exam if a student does not use ADAPT
Answer:
the probability of passing the exam if a student does not use ADAPT is 0.3584
Step-by-step explanation:
Given the data in the question;
Probability a student will pass = 38% = 0.38
Probability a student have used ADAPT = 5% = 0.05
P(passed | used ADAPT) = 79% = 0.79
Now lets use table
Used ADAPT Not use ADAPT Total
Passed [0.05×0.79] = 0.0395 [0.38 - 0.0395] = 0.3405 0.38
Not Passed [0.05-0.0395] = 0.0105 [0.62 - 0.0105] = 0.6095 0.62
Total 0.05 0.95
Now, the probability of passing the exam if a student does not use ADAPT will be;
⇒ P(passed and Not used ADAPT) / P( did not use ADAPT)
⇒ 0.3405 / 0.95
⇒ 0.3584
Therefore, the probability of passing the exam if a student does not use ADAPT is 0.3584
whats 926 divided by 30
[tex]30.87[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{926}{30} \\ = 30 \frac{26}{30} \\ ( \: or \: ) \\ = 30.8666 \\ = 30.87 [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
