Answer:
24 + 30 = 54 pancakes flipped in 2 minutes :)
Step-by-step explanation:
damon = 5 pancakes in 20 seconds
we do 20 x 3 and 5 x 3 to find how many pancakes he can flip in a minute
15 pancakes and a minute, we then multiply them by 2 to get the amount for 2 minutes
30 pancakes flipped in 2 minutes
Hailey = 2 pancakes in 10 seconds. to make it an equal amount of pancakes per second with damon, i will multiply them by 2 to have 4 pancakes in 20 seconds
we will then do 4 x 3 and 20 x 3 to find out how many pancakes per minute
then we multiply by 2 for 2 minutes
Answer:
54
Step-by-step explanation:
2 minutes=120 seconds
Damon=120 divide 20=6
6x5=30
Hailey=120 divide 10=12
12x2=24
24+30=54
Hope this helps! Thanks.
Which of the two functions below has the smallest minimum y-value?
f(x) = 4(x - 6)4 + 1
g(x) = 2x3 + 28
O A. g(x)
B. f(x).
C. The extreme minimum y-value for f(x) and g(x) is --
D. There is not enough information to determine
Answer:
Answer A
Step-by-step explanation:
[tex]\displaystyle \lim_{n \to -\infty} (3x^3+28)=-\infty\\\\minimum\ of \ f(x)=6\\\\Answer\ A[/tex]
HURRY WILL GIVE BRANLIEST
I believe that the answers in order are: Rational, Irrational, Irrational, Irrational. I think these answers are correct, but if not, please let me know. Thanks.
Answer:
I think 0.5 and 0/100 are rational
the others are irrational
Consider the probability that no more than 28 out of 304 students will not graduate on time. Choose the best description of the area under the normal curve that would be used to approximate binomial probability.
a. Area to the right of 27.5
b. Area to the right of 28.5
c. Area to the left of 27.5
d. Area to the left of 28.5
e. Area between 27.5 and 28.5
Solution :
Here the probability that exactly 28 out of 304 students will not graduate on time. That is
P (x = 28)
By using the normal approximation of binomial probability,
[tex]$P(x=a) = P(a-1/2 \leq x \leq a+1/2)$[/tex]
∴ [tex]$P(x=28) = P(28-1/2 \leq x \leq 28+1/2)$[/tex]
[tex]$=P(27.5 \leq x \leq 28.5)$[/tex]
That is the area between 27.5 and 28.5
Therefore, the correct option is (e). Area between 27.5 and 28.5
Form a polynomial whose zeros and degree are given.
Zeros: - 2, 2, 6; degree: 3
Type a polynomial with intéger coefficients and a leading coefficient of 1 in the box below.
f(x)=(Simplify your answer.)
Answer:
[tex]f(x) = (x + 2)(x - 2)(x - 6)[/tex]
[tex]f(x) = ({x}^{2} + 4)(x - 6)[/tex]
[tex]f(x) = {x}^{3} - 6 {x}^{2} + 4x - 24[/tex]
Step-by-step explanation:
Multiply factors.
Find area and perimeter of shaded regions below
Answer:
Step-by-step explanation:
ABCD is a square.
side = 24 cm
Area of square = side * side = 24 * 24 = 576 cm²
Semicircle:
d = 24 cm
r = 24/2 = 12 cm
Area of semi circle =πr²
= 3.14 * 12 * 12
= 452.16 cm²
Area of shaded region = area of square - area of semicircle + area of semicircle
= 576 - 452.16 + 452.16
= 576 cm²
Perimeter:
Circumference of semicircle = 2πr
= 2 * 3.14 * 12
= 75.36
Perimeter = 2* circumference of semicircle + 24 + 24
= 2 * 75.36 + 24 + 24
= 150.72 + 24 + 24
= 198.72 cm
Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?
howdy!!
yr answer is the third graph!
1km make how many cm
Answer:
100000
Step-by-step explanation:
I really need the help please and thank you
Asnwer: C
-------------------------------------
I need help in understanding and solving quadratic equations using the quadratic formula
x^2+8x+1=0
Answer:
Exact Form: -4⊥√15
Decimal Form:
0.12701665
7.87298334
…
Find the other endpoint of the line segment with the given endpoint (-2, -2) and midpoint (3,10)
9514 1404 393
Answer:
(8, 22)
Step-by-step explanation:
For endpoints A and B, and midpoint M, the relationship of interest is ...
B = 2M -A
B = 2(3, 10) -(-2, -2) = (6+2, 20+2)
B = (8, 22)
The other end point is (8, 22).
Is 3.6 a integer or a whole number?
36 is a whole number.
Answer:
The number 3.6 is a rational number.
All numbers that can be represented as fractions made of two integers (whole numbers) are considered to be
I’m the triangle shown we can find the angle theta as follows.
Answer:
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
(a+b)^3=? hhihiihihihihih
Answer:
Step-by-step explanation:
Complete the equation describing how
x and y are related.
5
1 2 3 4
8 13 18
-2
3
23
28
y = 5x + [?]
Enter the answer that belongs in [?].
Answer:
y=5x+3
Step-by-step explanation:
The equation of line is y=5x+3 since the y intercept is 3
The volume of a gas with a pressure of 1.2 atm increases from 1.0 L to 4.0 L. What is the final pressure of the gas, assuming constant temperature?
(a) 1.2 atm
(b) 0.30 atm
(c) 3.3 atm
(d) 4.8 atm
(e) 1.0 atm
Answer:
(b) 0.30 atm
Step-by-step explanation:
Given data
Initial pressure= 1.2atm
Initial volume= 1.0L
Final volume= 4.0L
Final pressure= ???
Let us apply the gas formula to find the Final pressure
P1V1= P2V2
Substitute
1.2*1= x*4
Divide both sides by 4
1.2/4= x
x= 0.3atm
Hence the final pressure is 0.3 atm
A cone and a pyramid have equal heights and volumes. If the base area of the pyramid is 154cm^2, find the radius of the cone
Answer:
√154/π
Step-by-step explanation:
thể tích nón = thể tích hình chóp
1/3πr².h=1/3S.h
πr²=154(rút gọn h và 1/3)
=> r=√154/π
The radius of the cone is 7 cm if the cone and a pyramid have equal heights and volumes.
What is a cone?It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.
[tex]\rm V=\pi r^2\dfrac{h}{3}[/tex]
We have:
A cone and a pyramid have equal heights and volumes.
154 = πr²
π = 22/7
r = 7 cm
Thus, the radius of the cone is 7 cm if the cone and a pyramid have equal heights and volumes.
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Which statements can be used to compare the characteristics of the functions? Select three options.
Answer:
Step-by-step explanation:
g(x) has the smallest minimum value. All three functions share the same domain and the y-intercept is also the same for all three thus options (C),(D), and (E) is correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
As per the given table,
The minimum value among all functions is -204 which is for g(x).
The domain is the set of x since all function defines the same x thus they have the same domain.
At y-intercept x = 0
Since at x = 0 all function is 3 thus all three will have the same y-intercept.
Hence "The smallest minimal value is for g(x). The y-intercept for all three functions is the same, and all three functions have the same domain".
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A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 1825 miles, for a total gas consumption of 75 gallons. How many gallons were consumed by each of the two cars that week?
Answer:
1) 35 gallons by the first car 2) 40 gallons by the second car
Step-by-step explanation:
Suppose the first car used x gallons, when the second car used the rest- 75-x
If the first car's efficiency is 35 miles per galon, its milleage is 35*x, the second car's milleage is 15*(75-x). And the summary milleage is equal to 1825.
35x+15(75-x)=1825
35x+1125-15x= 1825
20x=700
x=35- gallons consumed by the first car,
75-35=40- gallons consumed by the second one
It used to take 20 hours to get to Los Angeles, now it takes 12 hours, how much shorter was it?
Step-by-step explanation:
It takes 20 Hours to get to Los Angeles
Now it takes 12 hours....
Therefore we subtract 20 from 12
which becomes
20 - 12= 8.
So it's 8 hours shorter
Order the expressions from least to greatest.
Anwser
4 then 5 then 6
Answer:
This the right order:
4^2+2^2 = 20
5^2= 25
6^2-6 = 30
The weight of an object above the surface of the Earth varies inversely with the square of the
distance from the center of the Earth. If a body weighs 50 pounds when it is 3,960 miles from
Earth's center, what would it weigh if it were 4,015 miles from Earth's center?
Answer:
weight =48.71228786pounds
Step-by-step explanation:
[tex]w = \frac{k}{ {d}^{2} } \\ 50 = \frac{k}{ {3960}^{2} } \\ \\ k = 50 \times {3960}^{2} \\ k = 50 \times 15681600 \\ k = 784080000 \\ \\ w = \frac{784080000}{ {d}^{2} } \\ w = \frac{784080000}{16120225} \\ \\ w = 48.71228786 \\ w = 48.7pounds[/tex]
If a body weighs 50 pounds when it is 3,960 miles from Earth's center, it would weigh approximately 48.547 pounds if it were 4,015 miles from Earth's center, according to the inverse square law formula.
We know the inverse square law formula:
W₁ / W₂ = D²₂ / D²₁
Where W₁ is the weight of the body at the initial distance D₁, and W₂ is the weight at the final distance D₂.
So we have,
W₁ = 50
D₁ = 3,960
D₂ = 4015
We know that the body weighs 50 pounds when it is 3,960 miles from Earth's center,
So we can plug in those values as follows:
50 / W₂ = (4,015)²/ (3,960)²
To solve for W₂, we can cross-multiply and simplify as follows:
W₂ = 50 x (3,960)² / (4,015)²
W₂ = 50 x 15,681,600 / 16,120,225
W₂ = 48.547 pounds (rounded to three decimal places)
Therefore, if the body were 4,015 miles from Earth's center, it would weigh approximately 48.547 pounds.
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Please figure this out and find the measure
Answer: ME
Step-by-step explanation:
Answer:
166
Step-by-step explanation:
Since the lines are parallel, A=B. 7x+40=3x+112, 4x=72, x=18. A=166
Given the function f(x) = 3x - 1, explain how to find the average rate of change between x = 1 and x = 4.
Step-by-step explanation:
f(1) = 3×1 - 1 = 2
f(4) = 3×4 - 1 = 12-1 = 11
so, the functional value changes 11-2=9 units on an x interval of 4-1=3 units length.
the average change rate is the total change across the x interval relative to the interval length.
that is
9/3 = 3
which is the slope (= the factor of x) in the line equation.
for a line its change rate for any point is the same constant. and that is therefore automatically also the average change rate across an interval of x values.
if the change rate would be different for different parts of the function, it would not be a straight line.
Answer:
3
Step-by-step explanation:
The average rate of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 1, 4 ] , then
f(b) = f(4) = 3(4) - 1 = 12 - 1 = 11
f(a) = f(1) = 3(1) - 1 = 3 - 1 = 2
average rate of change = [tex]\frac{11-2}{4-1}[/tex] = [tex]\frac{9}{3}[/tex] = 3
14% of all Americans live in poverty. If 35 Americans are randomly selected, find the probability that
a. Exactly 3 of them live in poverty.
b. At most 7 of them live in poverty.
c. At least 4 of them live in poverty.
d. Between 1 and 8 (including 1 and 8) of them live in poverty.
11. Find the 5th term of the sequence defined by the given rule. (1/2 point)
f(n) = 6n + 4
Answer:
34
Step-by-step explanation:
n = 5
f(5) = 6(5)+4
f(5)=34
The fifth term of the sequence is equal to 34.
What is arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is f(n) = 6n + 4. The value of the fifth term will be calculated as,
n = 5
f(5) = 6(5)+4
f(5)=34
Therefore, the fifth term of the sequence is equal to 34.
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Jordan buys sandals and sunglasses for a trip to the beach. The sunglasses cost $6. The sandals cost 3 times as much as the sunglasses. How much do the sandals cost?
Answer:
18 dollars
Step-by-step explanation:
sunglasses = 6 dollars
sandals = 3 * sunglasses
= 3 * 6 dollars
= 18 dollars
Find Term 20 for the sequence a= 4 6 8 10......
4,6,8,10 are in A.P
a=4d=2[tex]\\ \rm\Rrightarrow a_n=a+(n-1)d[/tex]
[tex]\\ \rm\Rrightarrow a_20=4+(20-1)2[/tex]
[tex]\\ \rm\Rrightarrow a_20=4+19(2)[/tex]
[tex]\\ \rm\Rrightarrow a_20=4+38[/tex]
[tex]\\ \rm\Rrightarrow a_20=42[/tex]
When it was built, the given stadium held 31,080 fans per game. Today, it holds 86,047. How many more fans could attend per year (12 games) compared to the year it was built?
Answer:
659604 students
Step-by-step explanation:
86047-31080=54967 more students per game
54967 students per game x 12 games = 659,604 students
2x + 5y = 10 into slope- intercept form
Answer:
y=-2x+10
Step-by-step explanation
Hope this helped
log, (x + y)=log, y, log, x .
Solve for question D only
Answer:
4.
Step-by-step explanation:
Change of base formula is
logb x = loga x / loga b
So logx 25 = log5 25 /log5 x
Now log5 25 = log5 5^2 = 2, so:
logx 25 = 2 / log5 x
So log5 x^2 * logx 25
= log5 x^2 * 2 /log5 x
= 2 log5 x * 2 / log5 x
= 4.
