Answer:
D. none of these
Step-by-step explanation:
There are a total of 11 chocolates in the box.
The probability of picking milk chocolate first is 4/11.
Now that you eat one, there are 10 chocolates in the box.
The probability of picking a dark chocolate second is 7/10.
This is a compound probability problem, so multiply the two probabilities together.
4/11 x 7/10 = 28/110
Reduce by 2/2
14/55 = .2545
D. none of these
John has 9 boxes of apples. Each box holds 10 apples. If 7 of the boxes are full, and 2 of the boxes are half full, how many apples does John have?
A. 29
B. 90
C.80
D. 45
Answer:
80
Step-by-step explanation:
10x7=70
2x5=10
70+10=80
three eighths plus four eighths equals
Answer:
7/8 (seven eighths)
Step-by-step explanation:
add the numerators (top numbers) together, to get 7. Leave the denominator (bottom number) alone, since they are the same. Think about it like you're adding two different parts of a whole.
you should get 7/8
hope this helps
Suppose the figure above is translated 2 units left and 4 units up. The translated figure is then dilated with a scale factor of 3, centered at the origin. Which is the ordered pair for the image of C?
Can anyone PLEASE HELP ME ASAP!!!???
Answer:
the independent variable is s
the dependent one is m
hope this helps <3
Find the area of a piece of
carpet that measures 14 feet by 3
feet. Write your answer as a mixed
number.
Answer:
42 ft ^ 2
Step-by-step explanation:
All we have to do is multiply 14 and 3. That gives us 42.
Answer:
3/4 sq ft
Step-by-step explanation:
1/4*3=3/4
im pretty sure u meant 1/4 not 14 bc it says "mixed number"
the box and wiskers plot represent the number of minutes spent by users on two different social media groups which THREE statments are correct when comparing the plots
The true correct statements about the box-and-whiskers plot are:
Median time for Group B is 40Group B varies slightly more than Group A.Spread for Group A (IQR) = 25 What is the Spread and Median of a Data?In a box-and-whiskers plot, the interquartile range (IQR) is a measure of the spread of the data which shows the variability of the data.
Median of a data is the value at the point where the vertical line divides the rectangular box.
Median for Group A is between: 45 and 50
Median time for Group B is: 40.
Therefore, the three statements are:
Median time for Group B is 40Group B varies slightly more than Group A.Spread for Group A (IQR) = 25Learn more bout spread of a data on a box plot on:
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Find the different angle measures
The different angle measures are
1. [tex]m\angle EBD = 34^\circ[/tex]
2. [tex]m\angle ACE = 52^{\circ}[/tex]
3. [tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]
4. [tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]
5. [tex]m \angle DBA= 90^\circ[/tex]
6. [tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]
7. [tex]m\angle DFC= 56^\circ[/tex]
Calculating measures of anglesFrom the question, we are to determine the measures of the different angles
1.
From the given information,
[tex]m \overset{\LARGE\frown}{HD} = 68^\circ[/tex]
This implies that the measure of the central angle is 68°
Then,
[tex]m\angle EBD = \frac{1}{2} \times 68^\circ[/tex] (Angle at the center is twice the angle at the circumference)
∴ [tex]m\angle EBD = 34^\circ[/tex]
2.
From the diagram
[tex]m\angle ACE + m\angle BED + 90^\circ = 180^\circ[/tex]
From the given information
[tex]m\angle BED = 38^\circ[/tex]
Then,
[tex]m\angle ACE + 38^\circ + 90^\circ = 180^\circ[/tex]
[tex]m\angle ACE + 128^{\circ} = 180^\circ[/tex]
[tex]m\angle ACE = 180^\circ-128^{\circ}[/tex]
[tex]m\angle ACE = 52^{\circ}[/tex]
3.
First, we will determine [tex]m \overset{\LARGE\frown}{GD}[/tex]
[tex]m \overset{\LARGE\frown}{GD} = 2 \times m\angle ACE[/tex] (Angle at the center is twice the angle at the circumference)
[tex]m \overset{\LARGE\frown}{GD} = 2 \times 52^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]
But,
[tex]m \overset{\LARGE\frown}{GD} + m \overset{\LARGE\frown}{GB} = 180^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GB} = 180^\circ - m \overset{\LARGE\frown}{GD}[/tex]
[tex]m \overset{\LARGE\frown}{GB} = 180^\circ - 104^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]
4.
[tex]m \overset{\LARGE\frown}{GBD} = m \overset{\LARGE\frown}{GB} + 180^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GBD} = 76^\circ +180^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]
5.
[tex]m \angle DBA= 90^\circ[/tex] (Tangent and diameter/ radius theorem)
If a tangent and a diameter meet at the point of tangency, then they are perpendicular to one another
6.
[tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex] (As determined above)
7.
First, we will determine [tex]m\angle GFB[/tex]
[tex]m\angle GFB + m\angle EBD + 90^\circ = 180^\circ[/tex]
[tex]m\angle GFB = 180^\circ -(m\angle EBD + 90^\circ)[/tex]
[tex]m\angle GFB = 180^\circ - (34^\circ+90^\circ)[/tex]
[tex]m\angle GFB = 180^\circ - 124^\circ[/tex]
[tex]m\angle GFB = 56^\circ[/tex]
[tex]m\angle GFB = m\angle DFC[/tex] (Vertically opposite angles)
[tex]m\angle DFC= 56^\circ[/tex]
Hence, the different angle measures are
1. [tex]m\angle EBD = 34^\circ[/tex]
2. [tex]m\angle ACE = 52^{\circ}[/tex]
3. [tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]
4. [tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]
5. [tex]m \angle DBA= 90^\circ[/tex]
6. [tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]
7. [tex]m\angle DFC= 56^\circ[/tex]
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Amortization for 2021, $3.Record on adjusting entry
The adjusting entry for the Software of Northland Physical Therapy is as follows:
Adjusting Journal Entry:December 31, 2018:
Debit Amortization Expense $3
Credit Accumulated Amortization $3
To record the amortization expense for the year.What is an Adjusting Entry:An adjusting entry for Amortization records the amortization expense for the period, which is debited. It also credits the Accumulated Amortization, increasing the amount of the amortization expense.
For instance, the Amortization Expense for Northland Physical Therapy's Software is recorded as above.
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Henry deposits $750 into a college savings account that is compounded annually when is his parents received as a stimulus package . If Henry let’s the money sit in the account without adding or removing any and receives a 8.5% interest rate , How much more money will he have total after 5 years ?
Answer:
The answer should be $1127.74
Can you guys help me please :(
Step-by-step explanation:
ask me if you don't understand
Rewrite √-9-6 in complex number notation.
A. −6 − 3i
B. −6 + 3i
C. √3i -6
D. -6 -√-9
Answer:
B) - 6 + 3i
Step-by-step explanation:
Complex number notation:
i² = -1
[tex]\sf \sqrt{-9}-6=\sqrt{3^2*i^2}-6[/tex]
[tex]\sf = 3i - 6[/tex]
Class A has 15 pupils and class B has 29 pupils. Both classes sit the same maths test. The mean score for class A is 35. The mean score for class B is 36. What is the mean score (rounded to 2 DP) in the maths test across both classes?
Answer:
35.66
Step-by-step explanation:
Don't work with the mean given at first
1. Multiply the mean of class A by the number of students in class A
35 times 15=525
2. Multiply the mean of class B by the number of pupils in class B
36 times 29=1044
3. Add the answers you got
1044+525
4.Add the pupils of both classes
29+15=44
5.Then divide the total grades and pupils
1569/44 =35.659
6 Then round off
=35.66
URGENT MATH QUESTION MIDDLE SCHOOL
Answer:
A
Step-by-step explanation:
There is an even number of values.
Hope it helps
Sorry if I’m wrong
8 > −4; Subtract 8 from both sides.
The resulting inequality is:
Answer:
True, (-∞, ∞) 0 > -12
Step-by-step explanation:
8 > −4
8 - 8 > −4 - 8
0 > -12
Hope it helps :)
If you have any questions or anymore help lmk, happy to help with any school work!!
Have a nice day, you’ll make it thru :)
(shhhh i added your deleted question to this one as well, Image below)
3/4 : 6/x = 3/8 : 4/5 : 6/7
The value of x will be equal to 3 for the given expression.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts.
Given expression is solved as:-
[tex]\dfrac{\dfrac{3}{4} }{\dfrac{6}{x}} = \dfrac{3}{8}[/tex]
[tex]\dfrac{3}{4}\times \dfrac{x}{6}=\dfrac{3}{8}[/tex]
[tex]\dfrac{x}{8}=\dfrac{3}{8}[/tex]
x = 3
The value of x will be equal to 3 for the given expression.
Therefore the value of x will be equal to 3 for the given expression.
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Two arithmetic means between 3 and 24 are -
The value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
What is arithmetic mean?Arithmetic mean is the mean or average which is equal to the ratio of sum of all the group numbers to the total numbers.
The two arithmetic means between 3 and 24 are has to be inserted.
3, A₂, A₃, 24
All the four numbers are in arithmetic progression. The nth terms of AM can be found using the following formula:
t(n)=a(n-1)d
Here, d is the common difference a is the first terms and n is the total term. The first term, a=3 and t₄=24. Thus, the common difference is;
[tex]t(n)=a(n-1)d\\t(4)=3(4-1)d\\24=3(3)d\\24=9d\\d=\dfrac{24}{9}[/tex]
The second and 3rd term are:
[tex]A₂=3+\dfrac{24}{9}=\dfrac{51}{9}\\ A₃=\dfrac{51}{9}+\dfrac{24}{9}=\dfrac{75}{9}[/tex]
Thus, the value of two arithmetic means which are inserted between 3 and 24 are 24/9 and 75/9.
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please answer this question
Answer:
[tex]\displaystyle \int {x^{-11}(1 + x^4)^\Big{- \frac{1}{2}}} \, dx = \boxed{ - \frac{\sqrt{x^4 + 1} (8x^8 - 4x^4 + 3)}{30x^{10}} + C }[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIntegration Rule [Reverse Power Rule]:
[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/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 Methods: U-Substitution, U-Solve, Trigonometric Substitution
Step-by-step explanation:
*Note:
The problem is too big to fit all work. I will assume that you know how to do basic calculus.
Step 1: Define
Identify given.
[tex]\displaystyle \int {x^{-11}(1 + x^4)^\Big{- \frac{1}{2}}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integrand] Rewrite:Step 3: Integrate Pt. 2
Identify variables for u-substitution/u-solve.
Set u:Step 4: Integrate Pt. 3
Start solving the integral using u-solve:
[tex]\displaystyle \begin{aligned}\int {x^{-11}(1 + x^4)^\Big{- \frac{1}{2}}} \, dx & = \int {\frac{1}{x^{11}\sqrt{x^4 + 1}}} \, dx \\& = \int {\frac{1}{2u^6 \sqrt{u^2 + 1}}} \, du \\& = \frac{1}{2} \int {\frac{1}{u^6 \sqrt{u^2 + 1}}} \, du \\\end{aligned}[/tex]
Step 5: Integrate Pt. 4
Identify variables for trigonometric substitution.
Set u:Step 6: Integrate Pt. 5
Let's focus on just the integral itself. Apply the Trigonometric Substitution Integration Method and other basic integration techniques listed under "Calculus":
[tex]\displaystyle \begin{aligned}\int {\frac{1}{u^6 \sqrt{u^2 + 1} }} \, du & = \int {\frac{\sec^2 v}{\tan^6 v \sqrt{\tan^2 v + 1} }} \, dv \\& = \int {\frac{\sec v}{\tan^6 v}} \, dv \\& = \int {\cot v \csc v (\csc^2 v - 1)^2} \, dv \\\end{aligned}[/tex]
Step 7: Integrate Pt. 6
Identify variables for u-substitution/u-solve again.
Use another variable besides u to avoid confusion with earlier substitutions:
Set w:Step 8: Integrate Pt. 7
Reduce the integral using the U-Solve Integration Method and other basic integration techniques listed under "Calculus":
[tex]\displaystyle \begin{aligned}\int {\frac{1}{u^6 \sqrt{u^2 + 1} }} \, du & = \int {\frac{\sec^2 v}{\tan^6 v \sqrt{\tan^2 v + 1} }} \, dv \\& = \int {\frac{\sec v}{\tan^6 v}} \, dv \\& = \int {\cot v \csc v (\csc^2 v - 1)^2} \, dv \\& = \int {-(w^2 - 1)^2} \, dw \\& = - \int {(w^2 - 1)^2} \, dw \\& = - \int {\bigg( w^4 - 2w^2 + 1 \bigg)} \, dw \\\end{aligned}[/tex]
Step 9: Integrate Pt. 8
Solve the integral using basic integration techniques listed under "Calculus":
[tex]\displaystyle\begin{aligned}- \int {\bigg( w^4 - 2w^2 + 1 \bigg)} \, dw & = - \Bigg[ \int {w^4} \, dx - \int {2w^2} \, dx + \int {} \, dx \Bigg] \\& = - \Bigg[ \int {w^4} \, dx - 2 \int {w^2} \, dx + \int {} \, dx \Bigg] \\& = - \Bigg[ \frac{w^5}{5} - \frac{2w^3}{3} + w + C \Bigg] \\& = - \frac{w^5}{5} + \frac{2w^3}{3} - w + C \\& = - \frac{\csc^5 v}{5} + \frac{2\csc^3 v}{3} - \csc v + C \\\end{aligned}[/tex]
[tex]\displaystyle\begin{aligned}- \int {\bigg( w^4 - 2w^2 + 1 \bigg)} \, dw & = - \frac{(u^2 + 1)^\Big{\frac{5}{2}}}{5u^5} + \frac{2(u^2 + 1)^\Big{\frac{3}{2}}}{3u^3} - \frac{\sqrt{u^2 + 1}}{u} + C \\\end{aligned}[/tex]
Step 10: Integrate Pt. 9
Let's substitute our integral value into our integral from "Step 4":
[tex]\displaystyle\begin{aligned}\frac{1}{2} \int {\frac{1}{u^6 \sqrt{u^2 + 1}}} \, du & = - \frac{(u^2 + 1)^\Big{\frac{5}{2}}}{10u^5} + \frac{(u^2 + 1)^\Big{\frac{3}{2}}}{3u^3} - \frac{\sqrt{u^2 + 1}}{2u} + C \\& = - \frac{(x^4 + 1)^\Big{\frac{5}{2}}}{10x^{10}} + \frac{(x^4 + 1)^\Big{\frac{3}{2}}}{3x^6} - \frac{\sqrt{x^4 + 1}}{2x^2} + C \\& = \boxed{ - \frac{\sqrt{x^4 + 1}(8x^8 - 4x^4 + 3)}{30x^{10}} + C } \\\end{aligned}[/tex]
∴ we have found the indefinite integral.
___
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Topic: Calculus
A triangle has vertices T(3, 7), U(6, -6), and V(5, -9).
The image of the triangle has vertices T'(8, 1), U'(-5,
4), and V'(-8, 3).
Which transformations could have produced the
image?
OT(1.-2) ° Ty=x
Ory=x0 T(1, -2)
O Ta. -2) o Ro, 180°
O
O Ro. 180
Ta. -2)
Step-by-step explanation:
y=2x find the value of y and x
Anyone? please help asap i really want to finish this
It is a Part A and Part B Question
Note: please add the answer next to what part it's from so I can know which part was answered
Step-by-step explanation:
oh, come on ! one is finding the inequality itself, the other is solving it. you don't know the difference of that ?
if so, please let me know, what you don't understand of the following explanations, so that I can add whatever is necessary.
you know, what an equality (ahem, equation) is ?
both, equations and inequalities are like a balancing scale with usual different things on the two pans left and right.
an equation is when both sides are in balance. their weight is equal.
an inequality is, when one side is heavier than the other.
and you know, what a variable is ? it is a kind of placeholder for actual values. it is like keeping some space open on the scale pan with a list of conditions for what kind of things you can put in that open space, so that the status of the scale stays unchanged.
A
twenty less than a number is at least 15
looks mathematically
x - 20 >= 15 (larger or equal = "at least")
B
x - 20 >= 15
x >= 35
so, this is true for
{x € R | x >= 35}
or
{x € R | x = 35 or x > 35}
so, this is true for all real values of x that are at least 35.
Which polynomial function gets larger and larger in the negative direction as x gets
larger and larger in the negative direction?
A./(x) = 5x² - 2x+1
B./(x) = 6x³+4x² - 15x+32
G./(x) = 7x"=2x+3x²+8x-10
D. /(x) = 8x6 +- 1
Answer:
f(x) = 8x^6 + 1
Step-by-step explanation:
We want to examine which polynomial function grows larger and larger as the negative variable rises. We'll see that option d is correct: f(x) = 8x6 + 1
There are two things to keep in mind here.
The polynomial grows quicker as the exponent increases.
When a negative integer is evaluated with an even exponent, the result is always positive.
Then all the polynomials with an even leading exponent become larger and larger as x grows in the negative direction, especially the one with the biggest leading exponent, which is:
To identify the density of a toy made using an unknown material, the toy is dropped into a basin filled with water and found to displace 125.4 mL of water. The figurine is then put on a scale and found to be 1.4 pounds in weight. What is the density of the material that this figurine was made from in pounds/inch^3? (Note: 1 mL = 0.0610237 inch^3)
The density of the material that this figurine was made from in pounds/inch³ is 0.183 lb/in³
To answer the question, we need to know what density is
What is density?Density is the mass per unit volume of a material.
It is given by ρ = m/v where
m = mass of material and v = volume of materialNow, given that the toy is dropped into a basin filled with water and found to displace 125.4 mL of water. It's volume is v = 125.4 mL
= 125.4 × 1 mL
= 125.4 × 0.0610237 in³
= 7.65237198 in³
Also, given that the figurine is then put on a scale and found to be 1.4 pounds in weight. It's mass is m = 1.4 lb
Density of the materialSo, the density of the material ρ = m/v
ρ = 1.4 lb/7.65237198 in³
ρ = 0.183 lb/in³
So, the density of the material that this figurine was made from in pounds/inch³ is 0.183 lb/in³
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In the figure below, QRT and SRV are complementary.
What is the value of x?
I don't know how to solve this question you can take a look at it in the attachment image.
The codomain of the function [tex]g(x) = 2x^2 + 4x - 1[/tex] is [tex]g(x) = 2x^2 + 4x - 1[/tex]
How to determine the codomain of the function?The equation of the function is given as:
[tex]g(x) = 2x^2 + 4x - 1[/tex]
The above function is a quadratic function and it has the following features:
Domain = [tex](-\infty, \infty)[/tex]
Range: [tex][-3, \infty)[/tex]
When the range and the domain are combined, we have:
[tex][-3, \infty)\ and\ (-\infty, \infty)[/tex]
This gives
[tex][-3, \infty[[/tex]
Hence, the codomain of the function [tex]g(x) = 2x^2 + 4x - 1[/tex] is [tex]g(x) = 2x^2 + 4x - 1[/tex]
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What is the slope of the line that passes through the points (-2, 2), and (-4, -2)?
• -1/2
• 2
• -2
• 1/2
Answer:
-2
Step-by-step explanation:
Slope of a line, given two points : formatslope=y2−y1x2−x1=4−2−2−(−1)=2−1=−2
Part A: Which polynomial below is a fourth-degree polynomial in standard form? Explain how you know it is a fourth-degree polynomial and how do you know it’s in standard form.
(Image Below)
Part B: Explain the closure property as it relates to polynomials and give an example.
In the given question, all the equations are fourth degree polynomial because they all have the highest power of 4
What is degree of polynomial?A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.
In the given question, all the equation are fourth degree polynomial
2x^3 -3x^2 + 1 + 5x^45x^4 + 2x^3 -3x^2 + 1-3x^2 + 1 + 5x^4 + 2x^31 - 3x^2 + 2x^3 + 5x^4What closure property relates here is that when we add two different polynomial, the result will definitely be a polynomial.
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What is value of m in the equation 3 (2x - 4) = x +3
Step-by-step explanation:
6x-12=x+3
6x-x=3+12
5x=15
x=15/5
x=3
Answer:
x = 3Step-by-step explanation:
What is value of m in the equation
3 (2x - 4) = x +3?
3 (2x - 4) = x + 3
6x - 12 = x + 3
5x = 15
x = 15 : 5
x = 3
giving bralinest to correct answer.
Answer:
A, 3
Step-by-step explanation:
Just look at x axis, find 6, and then start going up until you hit the line. Then record the point you hit.
Find the slope of the given line. Please see attached photo. Thank you
Answer:
-2
Step-by-step explanation:
Find two points which lie on the line :
Take (-2, -1) and (-1, -3)Formula for slope (m) :
m = y₂ - y₁ / x₂ - x₁m = -3 + 1 / -1 + 2m = -2/1m = -2Answer: [tex]-2[/tex]
Step-by-step explanation:
[tex]Slope:m=0[/tex]
[tex]y=mx+b[/tex]
[tex]-2*10^0[/tex]
[tex]-2~is~a~rational~number[/tex]
[tex]\frac{180}{pi}[/tex]°
Can someone pls help me ! 20 points !
Answer:
60/13
Step-by-step explanation:
Can someone help me with this? Please and thankyou!!