Answer:
53
Step-by-step explanation:
A baker can bake 5 cakes in an hour. How many cakes can she bake in c minutes?
Answer:
No cakes.
Step-by-step explanation:
5/60= 12. 1hr=60 mins. 60/3=20. 20 mins=1 cake.
what is the expression in the factored x2+7x+6
Answer:
Step-by-step explanation:
x² +7x + 6 = (x+1)(x+6)
through: (-2,-5), slope = 4
Standard form from a point to a slope
Answer:
4x-y+3
Step-by-step explanation:
When we are given two points and asked to find the equation of the line, we must find the slope first. After that, it is the same three steps: substitute, distribute, solve for y. You should now be able to write the equation of a line in: point-slope form, slope-intercept form, or standard form
Which describes how to calculate the range of this data set?
4,5, 6, 8, 11, 12
O Subtract 11-5.
O Subtract 12-4.
O Add 11+5.
Add 12+ 4.
Answer:
B) Subtract 12-4 to calculate the range of this data set
Suppose a normal distribution has a mean of 222 and a standard deviation of
16. What is the probability that a data value is between 206 and 230? Round
your answer to the nearest tenth of a percent.
A. 91.0%
B. 66.9%
C. 53.3%
D. 84.0%
Answer:
C) 53.3%
The probability that a data value is between 206 and 230
P( 206 ≤X≤230) = 0.5328 = 53.3%
Step-by-step explanation:
Explanation
Given that Mean of the Normal distribution(μ) = 222
Given that the standard deviation of the Normal distribution (σ) = 16
Let 'X' be the random variable in the Normal distribution
we have to find that the probability that a data value is between 206 and 230
solution:-
Step(i):-
Let 'X' = 206
[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{206-222}{16} = -1[/tex]
Let X = 230
[tex]Z = \frac{x-mean }{S.D} = \frac{230-222}{16} = 0.5[/tex]
Step(ii):-
The probability that a data value is between 206 and 230
P( 206 ≤X≤230) = P( -1≤Z≤0.5)
= |A(0.5)+A(-1)|
= 0.1915+0.3413
= 0.5328
final answer:-
The probability that a data value is between 206 and 230
P( 206 ≤X≤230) = 0.5328 = 53.3%
Peter lives in Utah, which has a 5% state income tax rate. He earns $3,700 monthly.
How much state income tax is withheld from each of his paychecks?
Answer:
ask Utah not me.........
Answer:
$185 is withheld
Step-by-step explanation:
3700 x .05 is 185.
Please help with this question and give an explanation if possible
Answer:
B. -15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityCalculus
Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Swapping Limits]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = -\int\limits^a_b {f(x)} \, dx[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits^3_{-1} {[2g(x) + 4]} \, dx = 22[/tex]
[tex]\displaystyle \int\limits^{-1}_{10} {g(x)} \, dx = 12[/tex]
[tex]\displaystyle \int\limits^{10}_{3} {g(x)} \, dx = z[/tex]
Step 2: Redefine
Manipulate the given integrals.
[Integrals] Combine [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^{-1}_{10} {g(x)} \, dx + \int\limits^{10}_3 {g(x)} \, dx = \int\limits^3_{10} {g(x)} \, dx[/tex][Integrals] Rewrite: [tex]\displaystyle \int\limits^3_{10} {g(x)} \, dx = \int\limits^{-1}_{10} {g(x)} \, dx + \int\limits^{10}_3 {g(x)} \, dx[/tex][Integrals] Substitute in variables: [tex]\displaystyle \int\limits^{-1}_3 {g(x)} \, dx = 12 + z[/tex][Integrals] Rewrite [Integration Property - Swapping Limits]: [tex]\displaystyle -\int\limits^3_{-1} {g(x)} \, dx = 12 + z[/tex][Integrals] [Division Property of equality] Isolate integral: [tex]\displaystyle \int\limits^3_{-1} {g(x)} \, dx = -(12 + z)[/tex][Integrals] [Distributive Property] Distribute negative: [tex]\displaystyle \int\limits^3_{-1} {g(x)} \, dx = -12 - z[/tex]Step 3: Solve
[Integral] Rewrite [Integration Property - Addition]: [tex]\displaystyle \int\limits^3_{-1} {2g(x)} \, dx + \int\limits^3_{-1} {4} \, dx = 22[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 2\int\limits^3_{-1} {g(x)} \, dx + 4\int\limits^3_{-1} \, dx = 22[/tex][Integral] Substitute in integral: [tex]\displaystyle 2(-12 - z) + 4\int\limits^3_{-1} \, dx = 22[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle 2(-12 - z) + 4(x) \bigg| \limits^3_{-1} = 22[/tex][Integral] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle 2(-12 - z) + 4(3 - -1) = 22[/tex][Integral] (Parenthesis) Simplify: [tex]\displaystyle 2(-12 - z) + 4(3 + 1) = 22[/tex][Integral] (Parenthesis) Add: [tex]\displaystyle 2(-12 - z) + 4(4) = 22[/tex][Integral] Multiply: [tex]\displaystyle 2(-12 - z) + 16 = 22[/tex][Integral] [Subtraction Property of Equality] Subtract 16 on both sides: [tex]\displaystyle 2(-12 - z) = 6[/tex][Integral] [Division Property of Equality] Divide 2 on both sides: [tex]\displaystyle -12 - z = 3[/tex][Integral] [Addition Property of Equality] Isolate z term: [tex]\displaystyle -z = 15[/tex][Integral] [Division Property of Equality] Isolate z: [tex]\displaystyle z = -15[/tex][Integral] Back-Substitute: [tex]\displaystyle \int\limits^{10}_{3} {g(x)} \, dx = -15[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
21
Find the perimeter of the isosceles triangle
7 ft.
48 ft.
A. 98 feet
B. 24 feet
C. 48. 5 feet
D. 200 feet
Answer:
The perimeter is 98 feet
how to figure the surface area 4yd 4yd 1yd they say the answer is 48yd2. how do they get this answer
Answer:
area of top and bottom (total of 2) = 4x4x2 = 32 yd^2
area of 4 sides = 4x1x4 =16 yd^2
32+16 = 48 yd^2
3 1/8 - 7/12
NEED HELP ASAP!!! Plz
Step-by-step explanation:
hope this right.but if its not,im so sorry
Graph 5x + 3y = 15.
y
Graph is on the picture.
hope ot helps.
The scale factor of similar figures is 4/3, and one side of the smaller triangle is 12.
The corresponding side on the larger triangle is 16.
True
False
Answer:
True
Step-by-step explanation:
Solve using the square root property
x2 - 12 = 0
A metal strip is being installed around a workbench that is 7 feet long and 2 feet wide. Find how much stripping is needed
Simplify completely****
Answer:
[tex]\displaystyle \frac{x + 7}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{x^2 + 12x + 35}{3x + 15}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{(x + 5)(x + 7)}{3x + 15}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{(x + 5)(x + 7)}{3(x + 5)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{x + 7}{3}[/tex]After a tropical storm in a certain state, news reports indicated that 19 percent of households in the state lost power during the storm. A state engineer believes that estimate is too low. The engineer will collect data to perform a hypothesis test on the proportion of all households without power. Which of the following are the appropriate hypotheses for such a test?
Answer:
H0:p=0.19
Ha:p>0.19
Step-by-step explanation:
Identify the percent of change as an increase or a decrease. 4/5 to 3/5 Increase Decrease Find the percent of change. Round to the nearest tenth of a percent if necessary.
The required percent of change from 4/5 to 3/5 is a decrease of 25%.
What is the percentage?The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.
Here,
The fraction 4/5 is greater than the fraction 3/5, so the change from 4/5 to 3/5 represents a decrease.
To find the percent of change, we first need to find the amount of change. We can do this by subtracting the original value (4/5) from the new value (3/5),
3/5 - 4/5 = -1/5
The amount of change is -1/5. To express this as a percent, we can use the formula.,
Percent change = (amount of change / original value) * 100%
Substituting the values we have,
Percent change = (-1/5 / 4/5) * 100%
Percent change = -0.25 * 100%
Percent change = -25%
Therefore, the percent of change from 4/5 to 3/5 is a decrease of 25%.
Learn more about percentages here:
brainly.com/question/13450942
#SPJ
(1 point) Carbon dating is often used to determine the age of a fossil. For example, a humanoid skull was found in a cave in South Africa along with the remains of a campfire. Archaeologists believe the age of the skull to be the same age as the campfire. It is determined that only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire. Estimate the age of the skull if the half-life of carbon-14 is about 5600 years.
Answer:
The estimated age of the skull is 39118 years.
Step-by-step explanation:
The amount of the substance after t years is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount, and r is the decay rate.
The half-life of carbon-14 is about 5600 years.
This means that [tex]A(5600) = 0.5A(0)[/tex]. We use this to find r, or 1 - r, to replace in the equation. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{5600}[/tex]
[tex](1-r)^{5600} = 0.5[/tex]
[tex]\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}[/tex]
[tex]1 - r = (0.5)^{\frac{1}{5600}}[/tex]
[tex]1 - r = 0.9999[/tex]
So
[tex]A(t) = A(0)(0.9999)^t[/tex]
Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.
This is t for which [tex]A(t) = 0.02A(0)[/tex]. So
[tex]A(t) = A(0)(0.9999)^t[/tex]
[tex]0.02A(0) = A(0)(0.9999)^t[/tex]
[tex](0.9999)^t = 0.02[/tex]
[tex]\log{(0.9999)^t} = \log{0.02}[/tex]
[tex]t\log{0.9999} = \log{0.02}[/tex]
[tex]t = \frac{\log{0.02}}{\log{0.9999}}[/tex]
[tex]t = 39118[/tex]
The estimated age of the skull is 39118 years.
Factor the following trinomial: x2 + 8x + 15.
Answer:
(x + 3) (x + 5)
WILL GIVE BRAINLIEST
translate into algebraic expression four divided by the sum of x and three
[tex]\frac{4}{x+3}[/tex]
sum is addition
Roy has 5 pounds of dried fruit to make snack bags. He separates each pound of dried fruit into thirds and wants to use 1 third pound for each bag. How many snack bags can he make with all of the dried fruit?
Answer:
15
Step-by-step explanation:
1 turns in to 3 and you multiply that by 5
What is the solution to the equation A + 5 2/3 = 9
Answer:
the first one is your answer
Step-by-step explanation:
I hope it help ^_^
have a great day!!
A line passes through (1, 1) and ( – 3,5).
What is the equation of the line in slope-intercept form?
What is the standard form for f(x)=7(x-1)^2+3
Please i neeed helpp as fast as i needdddd i only got 20 mincyes
Answer:
Suppose that you have a random point (x, y), and now you do a dilation from the origin with a scale factor of k.
Then the new coordinates of the point are:
(k*x, k*y)
Now, in this question, we have a dilation of scale factor k = 1/2.
Then if we start with the point (x, y), after the dilation we will have the point (x/2, y/2)
Now you can notice that instead of this, in the table we have (2*x, 2*y)
So this is the error, the transformation is not correctly calculated.
Odd couple. If n is an odd number greater than or equal to 3, can n+1 ever be prime? What if n equals 1?
PLS I NEED HELP FAST I DONT UNDER STAND THIS
A box contains four equal-sized cards labeled 1, 3, 5, and 7. Tim will select one card from the box. What is the Probability that Tim will select a card labeled with a number less than 6? Give the probability in any one of the three ways.
Answer:
3/4
Step-by-step explanation:
There are 4 total outcomes - 1,3,5 and 7.
The outcomes which are less than 6 are 1, 3 and 5. So 3/4 will be < 6.
someone please help!!!
Answer:
y = 3x + 5 option A
Step-by-step explanation:
For 2 lines that are parallel with slopes m1 and m2, the slopes are equal. Hence
m1 = m2
Given the line y = 3x - 5 Comparing with the general equation of a line
y = mx + c where m is the slope of the line
m = 3
hence m1 = m2 = m = 3
For the line that passes through the given point (2,11) Using
y - y1 = m (x - x1)
y - 11 = 3(x - 2)
y - 11 = 3x - 6
Add 11 to both sides
y = 3x - 6 + 11
y = 3x + 5