The number of exams that Gretchen has to take is 4 exams.
How many exams does Gretchen have to take?From the information illustrated, Gretchen spends 5.1 hours on Monday, 3/3/5 hours on Tuesday, and 5/3/10 hours on Wednesday studying for her final exams. The total hours that she used will be:
= 5.1 + 3 3/5 + 5 3/10
= 5.1 + 3.6 + 5.3
= 14 hours.
Since she spends 3/1/2 hours studying for each exam, the number of exams that she has to take will be:
= Number of hours / Hours used for each exam
= 14 / 3 1/2
= 4 exams
The number of exams are 4.
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8{(5*3)+(2*5)+(2*10)=
Answer:
8(5*3)+(2*5)+(2*10)=360
Step-by-step explanation:
8(15)+(10)+(20)=
8(45)=
Answer:
The correct to you question is 360
Step-by-step explanation:
Write the number as a product of primes.
99
Answer:
The answer is 33
Answer:
3 and 11
Step-by-step explanation:
FIND THE LENGTH OF THE CHORD LM
Answer:
12 sin 75°
Step-by-step explanation:
See the attached images!
Solve the inequality.
Question 1
3y≤−9
The solution is
The solution of the given inequality is y ≤ -3.
The given inequality is -
3y ≤ −9
We have to solve this given inequality.
Now, we have the inequality as -
3y ≤ −9
=> y ≤ -3
Thus, the solution of the given inequality is y ≤ -3.
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What is the length of the missing side if
Side A: 8in
Side B: ?
Side C: 14 in
Answer:
side b= 11.489
Step-by-step explanation:
well I'm doing the exact same lesson currently and I just did the test on this exact question soo yeahh
The average duration of labor from the first contraction to the birth of the baby in women over 35 who have not previously given birth and who did not use any pharmaceuticals is 16 hours. Suppose you have a sample of 29 women who exercise daily, and who have an average duration of labor of 17.8 hours and a sample variance of 77.4 hours. You want to test the hypothesis that women who exercise daily have a different duration of labor than all women. Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is s M
Answer:
There is not enough evidence to support the claim that women who exercise daily have a significantly different duration of labor than all women.
Standard error sm = 1.634
Test statistic t = 1.102
P-value = 0.28
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that women who exercise daily have a significantly different duration of labor than all women.
Then, the null and alternative hypothesis are:
\(H_0: \mu=16\\\\H_a:\mu\neq 16\)
The significance level is 0.05.
The sample has a size n=29.
The sample mean is M=17.8.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√77.4=8.8.
The estimated standard error of the mean is computed using the formula:
\(s_M=\dfrac{s}{\sqrt{n}}=\dfrac{8.8}{\sqrt{29}}=1.634\)
Then, we can calculate the t-statistic as:
\(t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{17.8-16}{1.634}=\dfrac{1.8}{1.634}=1.102\)
The degrees of freedom for this sample size are:
\(df=n-1=29-1=28\)
This test is a two-tailed test, with 28 degrees of freedom and t=1.102, so the P-value for this test is calculated as (using a t-table):
\(\text{P-value}=2\cdot P(t>1.102)=0.28\)
As the P-value (0.28) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that women who exercise daily have a significantly different duration of labor than all women.
What is 2-b/3=-5/2
Please explain thoroughly and only explain the 2-step version
Answer:
b = 13.5
Step-by-step explanation:
2 -b/3 = -5/2
im assuming we want to find b. therefore we want b = something. so because b is on top of a fraction right now, I will multiply both sides by 3 so -b is not on top of a fraction anymore.
6 -b = -15/2
we should get rid of the divided by 2 on the other side too, to make it easier. we can do this by multiplying 2 on both sides.
12 - 2b = -15
remember, we want to isolate b. so first we should get rid of the 12 next to the 2b. we can do this by subtracting 12 on both sides!
-2b = -27
finally, we can divide both sides by -2 and b will be isolated!
b = 13.5
ask me if you have anymore questions!Rewrite the expression with a single base and exponent. (3^2*3^3)^3
The expression can be rewritten by given term as; 3^15
We need to simplify the expression below:
(3^2 x 3^3)^3
Remember that we can add these exponents, so we get:
(9 x 9)^3 = 81^3
Then we can rewrite this as:
531441
Takin the product between the exponents we will get:
(3^5)^3
Thus, the solution is 3^15
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which choice correctly expresses the number below in scientific notation?
0.000611
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
6.11/104
Why do I have to learn all of this if I'm gonna be a Rockstar when I'm older? I'm not gonna sing about geometry. or use algebra to write a song...
50 cm
1.5
Path
Vegetables
50 cm
50 cm
2
5.5m
This plan shows a vegetable garden.
The width of the path is 50 cm throughout.
4.5m
Step-by-step explanation:
b because you have to multiply
What is the explicit formula for the sequence below?
4, -12, 36, -108 ...
Answer:x ×-3
Step-by-step 4×-3= -12
-12 × -3= 36
and so on
Solve the following for θ, in radians, where 0≤θ<2π.
−sin^2(θ)−2sin(θ)+1=0
Select all that apply:
0.75
2.5
2.71
0.95
0.43
2.04
The radian solutions of the equation are θ = 2.71 and θ = 0.43 radians
Finding all radian solutions of the equationFrom the question, we have the following parameters that can be used in our computation:
-sin² (θ) - 2sin (θ) + 1 = 0
Divide through by -1
So, we have
sin² (θ) + 2sin(θ) - 1 = 0
Let y = sin(θ)
So, we have
y² + 2y - 1 = 0
When solved graphically, we have
y = 0.414 and -2.414
This means that
sin(θ) = 0.414 and sin(θ) = -2.414
Take the arcsin of both sides
θ = 2.71 and θ = 0.43
Hence, the angles are θ = 2.71 and θ = 0.43
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Pleaseeee helpppppppp
Which integer represents 4° below zero
A: 0
B:4
C: -4
D: -0
4.
Identify the point corresponding to P.
A. P′ (−5, −3)
B. P′ (−2, 0)
C. P′ (−3, −1)
D. P′ (−4, 0)
Answer: The answer is NOT letter D.
A. P′ (−5, −3)
Step-by-step explanation:
P′ (−5, −3)
...................................................................................................................................................
P′ (−4, 0)
You can look at the graph. The X-axis always goes first. SO -4 is first because it's on the x-axis. ANSWER= (-4, 0)
write the equation of lines shown on the graph.
Answer: um look it up or cause i dont know how to get out of answering this cause i clicked answer so this is here my bad
Step-by-step explanation:
As an apprentice working for 1 plus 2 landscaping, you’re learning the tricks of the trade. Your boss wants you to calculate the area between the edge of a garden bed and the side of a house. Using the area, she calculate the amount of mulch she will need for this job. The edge is defined by the equation y=x+1.
You will use a spreadsheet program to estimate the area under the curve y=x+1 between x=0 and x=10. Let the number of sub intervals be n=5.
To estimate the area under the curve y=x+1 between x=0 and x=10 with n=5 sub-intervals, you can use the following steps in a spreadsheet program like Microsoft Excel:
Create a table with three columns labeled "x", "y", and "Area".
In the "x" column, enter the values 0, 2, 4, 6, 8, and 10 (these are the endpoints and midpoints of the sub-intervals).
In the "y" column, enter the corresponding y-values for each x-value. For example, for x=0, y=1; for x=2, y=3; for x=4, y=5; and so on.
In the "Area" column, calculate the area of each sub-interval using the trapezoidal rule. The formula for the area of a trapezoid is:
Area = (base1 + base2) * height / 2
where base1 and base2 are the lengths of the two parallel sides of the trapezoid (which are the y-values of the function at the endpoints of the sub-interval), and height is the width of the sub-interval (which is 2 in this case).
Add up the areas of all the sub-intervals to get an estimate of the total area under the curve.
The completed table should look like this:
x y Area
0 1 0
2 3 4
4 5 8
6 7 8
8 9 4
10 11 0
To calculate the total area under the curve, simply sum the values in the "Area" column, which gives an estimate of 24 square units. This can be used to determine the amount of mulch needed for the garden bed.
Please answer immediately I beg.
A pyramid and a cone have the same base area and height. The volume
of the pyramid is 175m³. What is the volume of the one? Explain your answer.
The volume of cone is 175 m³
Firstly,
Volume of Pyramid.
The volume (V) of a pyramid is
V = ⅓Ah
Data:
V = 175m³
Calculation:
175 = ⅓× A× h
Ah = 175*3
Ah = 525m³
Secondly,
The volume (V) of a cone is
V = ⅓Ah
Data:
Ah = 525 m³
Calculation:
V = ⅓ A× h
V = 175 m³
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Create an expression that has the same value as (6x-4) + (x + 5).
Write the correct numbers from the list in the blank boxes. Each number
may be used once, more than once, or not at all.
Answer: 7x + 1
Step-by-step explanation:
(6x-4)+(x+5)
Step 1: Remove Parentheses:
6x-4+x+5
Step 2: Combine Like Terms:
7x +1
Need ANSWER ASAP
Consider the following transformed function
y = −2 Sin [2( − 45°)] + 1
a) Graph the five key points of Parent function on the provided grid.
b) State the following for the transformed function
Amplitude=
period=
Horizontal Phase shift =
Equation of axis=
c) Graph at least two cycles of the transformed function by transforming the key points of the parent function. (Don’t forget to label the x-axis and y -axis)
Answer:
See explanation below.
Step-by-step explanation:
Given transformed function:
\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)
Part (a)The parent function of the given function is: y = sin(x)
The five key points for graphing the parent function are:
3 x-intercepts → (0°, 0) (180°, 0) (360°, 0)maximum point → (90°, 1)minimum point → (270°, -1)(See attachment 1)
Part (b)Standard form of a sine function:
\(\text{f}(x)=\text{A} \sin\left[\text{B}(x+\text{C})\right]+\text{D}\)
where:
A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shift (axis of symmetry: y = D)Therefore, for the given transformed function:
\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)
Amplitude = -2Period = 2π/2 = πPhase shift = 45° to the rightEquation of axis of symmetry: y = 1Part (c)See attachment 2.
Expand and simplify(3x+4)(2x + 3)
Answer:
6x²+17x+12
Step-by-step explanation:
open the bracket
3x(2x+3) 4(2x+3)
6x²+9x+8x+12
6x²+17x+12
hope it helps
please mark brainliest
Answer:
6x^2 + 17x + 12
Step-by-step explanation:
first (distribute):
(3x+4)(2x+3)
3x(2x+3) + 4(2x + 3)
then (distribute) again:
3x(2x+3) = 6x^2 + 9x
4(2x + 3) = 8x + 12
then (combine terms):
6x^2 + 9x + 8x + 12
6x^2 + 17x + 12
Find b and c so that y = 20x2 + bx+c has vertex (6, - 2). b= с — > Next Question
We have a quadratic function with unknown parameters b and c and we have to define them in order for the function to have its vertex at (6,-2).
The formula for the x-coordinate of the vertex is:
\(x_v=-\frac{b}{2a}\)As xv = 6 and a=20, we can find b as:
\(\begin{gathered} x_v=-\frac{b}{2a} \\ 6=\frac{-b}{2\cdot20} \\ 6\cdot40=-b \\ 240=-b \\ b=-240 \end{gathered}\)As the y-coordinate of the vertex is:
\(y_v=f(x_v)\)then we can replace with the known information and calculate c as:
\(\begin{gathered} y_v=20x^2_v-240x_v+c=-2 \\ 20(6)^2-240\cdot6+c=-2 \\ 20\cdot36-1440+c=-2 \\ 720-1440+c=-2 \\ c=-2+1440-720 \\ c=718 \end{gathered}\)Then, the quadratic equation can be written as:
\(y=20x^2-240x+718\)We can check it with a graph:
1. How much of the original cake has not been shared
after the first division of the cake? How much of the
original cake has not been distributed after the fourth
division?
2.write a series that represents the amount of the original cake each person has after the fourth division.
3.how much of the original cake will each person have after the fourth division
4. Suppose you continue this process indefinitely. How much of the original cake will each of you receive?
The cake sharing process of the process using geometric progression gives the following values;
1. The amount of the cake left after the first division is one quarter of the cake
The amount of cake remaining after the fourth division is 1/256 of the original cake
2. The series is; (1/4 + 1/16 + 1/64+ 1/256 + 1/1024) of the original cake
3. 341/1024 of the original cake
4. If the process continues indefinitely each person gets (1/3) of the original cake
What is a geometric progression?A geometric progression is a sequence of numbers such that a term is found from the previous term by multiplying the previous term by a constant number.
1. Taking the dimensions of the cake as a square, let x represent the side length of the cake, we have;
Amount of cake left after the first division = x/4
The amount of the cake left after the first division is one quarter of the cakeAmount left after the second sharing = x/(4×4) = x/16
Amount left after the third division = x/(4×4) = x/(16×4) = x/64
Amount left after the fourth division = x/(64×4) = x/256
The amount of cake remaining after the fourth division is 1/256 of the original cake2. After the fourth division, each person receives x/(256×4) = x/1024
The series that represents the amount each person receives after the fourth division is therefore;
(1/4 + 1/16 + 1/64+ 1/256 + 1/1024) of the original cake3. The amount of the original cake each person gets after the fourth division is therefore;
1/4 + 1/16 + 1/64+ 1/256 + 1/1024 = 341/1024 of the original cake4. The amount each person receives is given by the sum of a geometric series up to infinity, where;
The first term, a = 1/4
The common ratio, r = 1/4
S = (1/4)/(1 - (1/4)) = (1/4)/(3/4) = (1/4)×(4/3) = 1/3
The amount of the original cake each gets if the process continues indefinitely is (1/3) of the original cake.
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The new bookkeeper at Karlin Construction Company was asked to write off two accounts totaling $1,610 that had been determined to be uncollectible. Accordingly, he debited Accounts Receivable for $1,6
10 and credited Bad Debt Expense for the same amount.
The thing that is wrong with the bookkeeper’s entry assuming Karlin uses the allowance method is that the company uses allowance method and thus the write-off entry would not be to bad debt account.
How yo illustrate the information?
It should be noted that because the business is using the allowance approach in this instance, the write-off entry would not be to the account for bad debts. To write off an account, a debit must be made to a separate account that is kept as an allowance for dubious accounts.
Since the receivables would not be collected, the accounts receivable account would be credited. In this case,the write off isn't appropriately illustrated in the account.
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The new bookkeeper at Karlin Construction Company was asked to write off two accounts totaling $1,610 that had been determined to be uncollectible. Accordingly, he debited Accounts Receivable for $1,610 and credited Bad Debt Expense for the same amount.
Determine what was wrong with the bookkeeper’s entry assuming Karlin uses the allowance method.
X - 2y = 7
Y = - x + 1
THIS IS MY 6TH TIME POSTING THIS HELP
A scale drawing of a rectangular basketball court measures 7 inches long and 4 inches wide. If the scale used for the drawing is 2.5 inches equals 5 yards, what is the actual length of the park?
Answer:
14 yards
Step-by-step explanation:
length of basketball court=
7 inches
(times by 2.8) 2.5 inches-5 yards( times by 2.8)
7 inches=14
i hope i helped:)
A biologist wants to estimate how many fish are in a lake. The biologist takes a sample of 10 fish from the lake and tags all 10 fish. The biologist then releases the fish back into the lake. The nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. Using this information, estimate the number of fish in the lake.
If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.
How to find the estimated number?Let x represent the estimated number of fish in the lake
Hence,
x /10 = 7/2
Cross multiply
2x = 10 × 7
2x = 70
Divide both side by 2x
x =70/2
x = 35 fish
Therefore 35 is the number of fish.
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I have a picture of my question
Based on the given image, you have:
statement justification
PQ = OQ given
m∠1 = m∠2 given
m∠1 + m∠AXO = 180 supplementary angles
m∠2 + m∠OQB = 180 supplementary angles
m∠AXO = m∠OQB congruent angles
m∠AOX = m∠QOB congruent angles
m∠XAO + m∠AOX + m∠AXO = 180 sum of internal angles of a triangle
m∠OQB +m∠QOB + m∠QBO = 180 sum of internal angles of a triangle
m∠XAO = m∠QBO congruent angles
m∠XAO = m∠QBO is the same as ∠A = ∠B
For the steps which involve supplementary angles you consider that if m∠1 = m∠2 it is necessary that m∠AXO = m∠OQB.
For the steps which involve the sum of internal triangle, you consider if m∠AXO = m∠OQB and m∠AOX = m∠QOB it is necessary m∠XAO = m∠QBO
Two angles of a quadrilateral measure 130° and 195°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?
The measure of other two angles in the given quadrilateral are 10° and 25°.
What is quadrilateral?A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.
Given that, two angles of a quadrilateral measure 130° and 195°.
The other two angles are in a ratio of 2:5.
So, the other two angles are 2x and 5x
Now, 130°+195°+2x+5x=360°
325°+7x=360°
7x=360°-325°
7x=35°
x=5
So, 2x=10° and 5x=25°
Therefore, the measure of other two angles in the given quadrilateral are 10° and 25°.
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2x² + 10 factorización
Answer:
2(x² + 5)
Step-by-step explanation:
To factor 2x² + 10, we can first factor out the greatest common factor of the terms, which is 2:
2x² + 10 = 2(x² + 5)
We can't factor anymore, so the answer is:
2(x² + 5)
Answer:
2(x² + 5)
Step-by-step explanation:
To factorise this, do the distributive property backwards. In other words:
2x² + 10
2x² ÷ 2 + 10 ÷ 2
x² + 5
2(x² + 5)
∴ 2(x² + 5) is the answer