Answer:
32
Step-by-step explanation:
53 - 11 is 21, so they each gave 21, but vace gave 11 more so you add 11 to get 32
michaela has h hair ties. michaela's sister has triple the number of hair ties that michaela has. choose the expression that shows how many hair bows michaela's sister has
Answer:
Michaela = h
Michaela's sister = 3h
Answer = 3h
If Michaela has h hair ties and Michaela's sister has triple number of hair ties then the expression which shows the number of hair ties that Michaela's sister has is 3h.
What is expression?Expression is a combination of number, symbols, variables, coefficients, indeterminants, functions, etc. It is usually not present in equal to form.
How to form expression?We have been given that Michaela has h number of hair ties and Michaela's sister has triple the number of hair ties that Michaela has, so if h is the expression for Michaela then 3h will be the expression for Michaela's sister.
Hence the expression which shows the number of hair ties that Michaela's sister has is 3h.
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1. Graph: y = 3x
please help
Answer:
[see below]
Step-by-step explanation:
Find two points that would satisfy the equation.
When x = 1:
[tex]y=3(1)\\\\y=3[/tex]
One point would be (1, 3).
When x = 2:
[tex]y=3(2)\\\\y=6[/tex]
Another point would be (2, 6).
Graph the points (1,3) and (2,6) and draw a line crossing through them.
Hope this helps.
Which of the following statements regarding immunization are true?
I. If long-term interest rates are lower than short-term rates, the need for immunization is reduced.
II. Either Macaulay or modified duration can be used to develop an immunization strategy.
III. Both processes of matching the present values of the flows or the flows themselves will produce exact matching
A. I only
B. II only
C. III only
D. I, II and III
E. The correct answer is not given by (A), (B), (C), or (D).
Answer:
B. II only
Step-by-step explanation:
Immunisation is used to lower the risk factor that may arise due to change in interest rate . For it, cash inflow and cash outflow are matched in terms of their timing . In other words, effective duration of asset and liability are matched with the help of methods like cash flow matching , duration matching etc.
Even lowering of interest rate in long term may entail risk because it may increase the bond price which may affect the business adversely in some way if bond is kept as liability . It may reduce the price of asset if it is held as asset .
Exact matching is possible only when matching of cash flow is achieved along with its timing . Matching of present value will not serve the purpose .
Macaulay or modified duration can be used to develop an immunization strategy . Both of them calculate the duration of asset and liability with some change in the method of calculation.
A bicycle has a listed price of $871.95 before tax. If the sales tax rate is 6.25%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$926.45
Step-by-step explanation:
$871.95 x .0625 = $54.50
$871.95 + $54.50 = $926.45
Answer:
$926.44
Step-by-step explanation:
sales tax = price*sales tax rate
sales tax = $54.49
871.95+54.49 = answer I think
Find x, if 3x − 5(y + x ) ^2 = 16 and 4x + 2(y + x )^ 2 = 30
Answer:
x is 7
Step-by-step explanation:
3x - 5(y + x)^2 = 16
3x - 16 = 5(y + x)^2
(y + x)^2 = 1/5(3x - 16) ------ eqn(I)
4x + 2(y + x)^2 = 30
2(y + x)^2 = 30 - 4x
(y + x)^2 = 1/2(30 - 4x) ------- eqn(II)
Equate eqn (I) & (II)
1/5(3x - 16) = 1/2(30 - 4x)
Multiply both sides by 10
2(3x - 16) = 5(30 - 4x)
6x - 32 = 150 - 20x
6x + 20x = 150 + 32
26x = 182
x = 182/26 = 7
Subtract.
Eight-ninths minus one-third
8/9 - 1/3
To subtract these two fractions, first find a common denominator.
The common denominator will be the
least common multiple for the two denominators.
In this case, the least common multiple of 9 and 3 is 9.
So to subtract, a denominator of 9 is needed in each fraction.
8/9 already has 9 in the denominator so it stays the same.
To get a 9 in the denominator of 1/3, multiply top and bottom by 3.
This gives us 3/9.
So we have 8/9 - 3/9 which is 5/9.
Answer:
Five-ninths
Step-by-step explanation:
Since the denominators are different (9 and 3) we need to change one of them.
9 is divisible by 3 therefor we do not need to change Eight-ninths.
3 times 3 = 9, nine becomes the new denominator, but remember, whatever we do to the bottom (denominator), we must also do to the top (numerator).
1 times 3 = 3
Now the equation is 8/9 - 3/9, we must only subtract the numerators. The answer is 5/9.
negative numbers are closed under addition True or False
Describe the transformations from the graph of f(x)=∣x∣ to the graph of r(x)=∣x+2∣− 6.
The transformations are a horizontal translation 2 units right then a vertical translation 6 units down.
The transformations are a horizontal translation 2 units right then a vertical translation 6 units up.
The transformations are a horizontal translation 2 units left then a vertical translation 6 units down.
The transformations are a horizontal translation 2 units left then a vertical translation 6 units up.
Answer: The answer is C
The transformations are a horizontal translation 2 units left then a vertical translation 6 units down.
Find the volume of the cylinder either enter an exact answer in terms of pi or use 3.14 for pi
1/2πr^2h.
1/2×3.142×3^2×2=
1/2×56.556=28.278~ 28.
Answer:
18pi
Step-by-step explanation:
I just got it right on Khan Academy
how do i solve for this absolute value equation ? |12x - 5| = 11
Hello, we know that
[tex]|x|=\begin{cases}x &\text{if } x \geq 0\\ -x &\text{if } x < 0 \end{cases}[/tex]
And we can write that 12x-5=0 <=> 12x =5 <=> x = 5/12
So,
[tex]|12x-5|=\begin{cases}12x-5 &\text{if } x \geq \dfrac{5}{12}\\\\ -12x+5 &\text{if } x < \dfrac{5}{12}\end{cases}[/tex]
And, we can write.
[tex]|12x-5|=11<=>\begin{cases}12x-5=11 &\text{if } x \geq \dfrac{5}{12}\\\\ -12x+5=11 &\text{if } x < \dfrac{5}{12}\end{cases}\\ \\ \\ <=>\begin{cases}12x=16 &\text{if } x \geq \dfrac{5}{12}\\\\ 12x=5-11 &\text{if } x < \dfrac{5}{12}\end{cases}\\\\<=>\begin{cases}x=\dfrac{16}{12}=\boxed{\dfrac{4}{3}} &\text{if } x \geq \dfrac{5}{12}\\\\ x=\dfrac{-6}{12}=\boxed{-\dfrac{1}{2}} &\text{if } x < \dfrac{5}{12}\end{cases}[/tex]
So the two solutions are 4/3 and -1/2.
Thank you.
Alec makes jam to sell at a local farmers' market. To make last week's batch, he used 2 cups of sugar and 18 cups of berries. It was so popular that he made a larger batch this week. To make this week's batch, Alec used 4 cups of sugar and 30 cups of berries, and the jam sold out even faster. Which batch had a greater ratio of sugar to berries?
Answer:
This week's batch had the greater ratio of sugar to berries
Step-by-step explanation:
Last week's ratio was 2:18
This week's ratio was 4:30
Now, we can simplify both of these:
Divide last week's by 2:
1:9
Divide this week's by 2:
2:15
1:9 is equivalent to 0.11, and 2:15 is equivalent to 0.13
So, this week's batch had the greater ratio of sugar to berries
The batch with 4 cups of sugar and 30 cups of berries has a greater ratio of sugar to berries and is given by the proportion B = 4/30 = 0.1333
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion equation be represented as A and B
Now , for the last week's batch
Alec used 2 cups of sugar and 18 cups of berries
So , the ratio of sugar to berries is 2 : 18
The proportion is 2 / 18 = 0.1111
Now , for this week's batch
Alec used 4 cups of sugar and 30 cups of berries
So , the ratio of sugar to berries is 4 : 30
So , the proportion is 4 / 30 = 0.1333
Now , the proportion of 4 : 30 is greater than 2 : 18
Hence , this week's batch had a greater proportion
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e^2x + sin(x+3y) - 1 = 0
x = 0 , y = 0
Dy/dx=...?
a. -1
b. 0
c. 1
Answer:
to be honest I'm not sure
Kingston obtained a loan for $1,000 to be paid back in 30 days. The lender quoted Kingston a $200 fee. Which of the following statements is correct regarding this loan?
Answer:
A The APR is over 240%.
Step-by-step explanation:
Given:
Loan amount = $1000Time = 30 daysRate = $200 per 30 daysNow options:
A The APR is over 240%.
Correct since $200 per 30 days ⇒ 20% per 30 days ⇒ 240$ per 360 days ⇒ more than $240 for yearB The fee will be paid only if Kingston makes a late payment.
Incorrect. This is the sum to be paid at the end of 30 daysC The $1,000 plus finance charges will be paid at the end of one year.
Incorrect. All charges including the loan due paid at the end of 30 daysD Kingston will receive $1,200 from the loan.
Incorrect. Loan amount is $1000`.Answer:
A The APR is over 240%.
Step-by-step explanation: Hope this helps ya'll
A company buys a machine for $225,000 that depreciates at a rate of 30% per year. Find a formula for the value of the machine after n years. V(n) =
Answer:
[tex]V(n) =225000*0.7^n[/tex]
Step-by-step explanation:
In this problem we are expected to model the depreciated value of the machine after some years of purchase (n years)
initial value of the machine is $225,000
after a year it reduces by 30%
Therefore the new value is now 70% of the initial value
[tex]= 225000*0.7= 157,500[/tex]
= $157,500
After another year it reduces by 30%
Hence the new value is
[tex]=225000*0.7^2\\\=225000*0.49\\\\\=110250[/tex]
= $110250
that after n years the value will be
[tex]V(n) =225000*0.7^n[/tex]
Use point-slope form to find the equation of the line passing through (0,5) with a slope of 2/3
Suzy and Joe are trying to solve the problem
2^2×2^3x2^4
Suzy gets 2^9, while Joe gets2^24. Decide who solved the equation correctly and why.
Group of answer choices
Joe because when you multiply the exponents, you are finding the sum of the exponents.
Joe because when you multiply the exponents, you are finding the product of the exponents.
Suzy because when you multiply the exponents, you are finding the sum of the exponents.
Suzy because when you multiply the exponents, you are finding the product of the exponents.
When multiplying similar numbers raised to different exponents the exponents get added together.
The answer is : Suzy because when you multiply the exponents, you are finding the sum of the exponents.
3/4 + (1/3 ÷ 1/6) - (1/2) =
Answer:
.o55555555555555555555555
Step-by-step explanation:
Simplify the expression -10(1 - 9x) + 6(x - 10)
Answer: 96x-70
Step-by-step explanation: -10+90x+6x-60
=96x-70
Answer:
96x -70
Step-by-step explanation:
-10(1 - 9x) + 6(x - 10)
Distribute
-10 +90x +6x - 60
Combine like terms
90x+6x - 10-60
96x -70
Name the intersection of plane ABC and plane LOD
Answer:
segment AD
Step-by-step explanation:
LOD is the far side of the cube.
ABC is the left side.
So the intersection is the vertical EDGE AD, on the far-left.
The two planes ABC and LOD intersect each other at the segment AD.
What is the coordinate plane?A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates. These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.
Given that there is a cube made of six sides. The two planes ABC and LOD intersect each other at the line segment AD or AD is the common line between the two planes. LOD is the far side of the cube. ABC is on the left side. So the intersection is the vertical EDGE AD, on the far left.
Therefore, the two planes ABC and LOD intersect each other at the segment AD.
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Find the area of a triangle whose vertices are P(1,3,2) Q(2,-1, 1) R(-1,2,3)
Answer:
5199
Step-by-step explanation:
Because
Of the 727 cases of SI, 203 received two doses of vaccine. Of 1,239 controls, 771 received two doses of vaccine for SI. What is the likelihood of contracting SI with only one dose of vaccine
Answer:
hello your question is incomplete below is the complete question
Case-Control Calculation Enter only numeric values into the answer line. Place a leading 0 before the decimal and remember to round to two decimal places. Note your answers for the next short essay question. Swine Influenza (SI) is a growing concern at the local Broncoville Health Department in Lawrence, Kansas. You are working for a pharmaceutical company which is developing a human vaccine against SI. You are in charge of testing the vaccine’s effectiveness. You need to determine if one or two doses of vaccine is required to provide immunity. You field test and collect the following information about the vaccine status of persons who did and did not contract SI after getting either one or two doses of vaccine. Develop a 2 x 2 table with the following information: Of the 727 cases of SI, 203 received two doses of vaccine. Of 1,239 controls, 771 received two doses of vaccine for SI. What is the likelihood of contracting SI with only one dose of vaccine?
1. Calculate the incidence of persons with one dose of vaccine for SI
2. Calculate the incidence of persons with two doses of vaccine for SI
3. Calculate the odds ratio of developing SI among those with one dose of vaccine for SI
answer : 1) ≈ 0.53 , (2) ≈ 0.21, (3) ≈ 1.12
Step-by-step explanation:
cases of SI = 727
number of SI cases that received two doses of vaccine = 203
number of SI cases that received one dose of vaccine = 727 -203 = 524
controls = 1239
number of controls that received two doses of vaccine = 771
number of controls that received one dose of vaccine = 1239 - 771 = 468
I) The incidence of persons with one dose of vaccine for SI
= 524 / 992 = 0.528 ≈ 0.53
2) The incidence of persons with two doses of vaccine for SI = 203/974 = 0.208 ≈ 0.21
3) The Odds of SI in one dose group
= 524/468 = 1.119 ≈ 1.12
A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 193 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents 11 13 22 11 15 29 15 9 13 15 22 18
This question is incomplete, the complete question;
A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 193 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents 11 13 22 11 15 29 15 9 13 15 22 18
Step 10 of 10 : State the conclusion of the hypothesis test at the 0.1 level of significance.
Answer: H₀ : The distribution of fatal accidents between each month is same
Step-by-step explanation:
H₀ : The distribution of fatal accidents between each month is same
H₁ : The distribution of fatal accidents between each month is different
Let the los be alpha 0.10
given data ;
Observed Expected
Mon Freq (Oi) Freq Ei (Oi-Ei)^2 /Ei
Jan 11 16.0833 1.606649
Feb 13 16.0833 0.591105
Mar 22 16.0833 2.176598
Apr 11 16.0833 1.606649
May 15 16.0833 0.072971
Jun 29 16.0833 10.373489
Jul 15 16.0833 0.072971
Aug 9 16.0833 3.119603
Sep 13 16.0833 0.591105
Oct 15 16.0833 0.072971
Nov 22 16.0833 2.176598
Dec 18 16.0833 0.228411
Total: 193 93 22.689119
Expected Freq ⇒ 193 / 12 = 16.08333
Test Statistic, x² : 22.6891
Num Categories: 12
Degrees of freedom: 12 - 1 = 11
Critical value X² : 24.725
P-Value: 0.0195
since Chi-square value < Chi-square critical value
and P-value > alpha 0.01 so we accept H₀
Therefore we conclude that the distribution of fatal accidents between each month is same
What's the height of a triangle if we know the base is 20 m and the area is 100 m2?
15 m
25 m
5 m
5 m
4) 10 m
Answer:
h = 10 m
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Area = 100 m²
base = 20 m
therefore,
100 m² = 1/2 * 20 m * h
h = 100 / 10
h = 10 m
The height will be 10 m.
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, the area of a triangle is 100 m² and base is 20 m.
The area of a triangle = 1/2xbasexheight
100 = 1/2x20xh
h = 100/10
h = 10
Hence, The height will be 10 m.
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Plz help 7th grade math ASAP
Select the correct answer.
Describe the solution to the system of equations graphed below.
The system has no solutions.
The system has infinitely many solutions of the form y = -x + 3, where x is any real number.
The system has a unique solution at (2,1).
O
The system has a unique solution at (1,2).
Answer:
answer is c
Step-by-step explanation:
i got it right
The solution of the system is unique and the solution is (2, 1). Then the correct option is C.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
If the two lines intersect, then the point of intersection represents the solution of the equations.
The solution of the system is unique and the solution is (2, 1).
The system has a unique solution at (2,1). Then the correct option is C.
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Solve N=2rt^2-7rx for x
Answer:
N - 2 r t²
x = - ------------
7x
Step-by-step explanation:
N = 2 r t² - 7 r x
solve for x
N = 2 r t² - 7 r x
N + (-2 r t²) = (2 r t² - 7 r x) + (-2 r t²)
N - 2 r t² = 2 r t² - 7 r x - 2 r t²
N - 2 r t² - 2 r t² + 2 r t² = - 7 r x
N - 2 r t² = 7 r x
therefore,
N - 2 r t²
x = - ------------
7x
In the following figure, OQ and OR are internal bisectors of ZQ
and ZR, respectively, then prove that ZQOR = 90° +- ZP.
1
2
Р
R.
Answer:
if you can provide the figure it would be quite easy for the people giving answers
write a equation in a point-slope form fir the line through the given point with the given slope (9,-1);m=4/3
Answer:
y +1 = 4/3( x-9)
Step-by-step explanation:
Point slope form of an equation is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on a line
y - -1 = 4/3( x-9)
y +1 = 4/3( x-9)
For i≥1 , let Xi∼G1/2 be distributed Geometrically with parameter 1/2 . Define Yn=1n−−√∑i=1n(Xi−2) Approximate P(−1≤Yn≤2) with large enough n .
Answer:
The answer is "0.68".
Step-by-step explanation:
Given value:
[tex]X_i \sim \frac{G_1}{2}[/tex]
[tex]E(X_i)=2 \\[/tex]
[tex]Var (X_i)= \frac{1- \frac{1}{2}}{(\frac{1}{2})^2}\\[/tex]
[tex]= \frac{ \frac{2-1}{2}}{\frac{1}{4}}\\\\= \frac{ \frac{1}{2}}{\frac{1}{4}}\\\\= \frac{1}{2} \times \frac{4}{1}\\\\= \frac{4}{2}\\\\=2[/tex]
Now we calculate the [tex]\bar X \sim N(2, \sqrt{\frac{2}{n}})\\[/tex]
[tex]\to \frac{\bar X - 2}{\sqrt{\frac{2}{n}}} \sim N(0, 1)\\[/tex]
[tex]\to \sum^n_{i=1} \frac{X_i - 2}{n} \times\sqrt{\frac{n}{2}}} \sim N(0, 1)\\\\\to \sum^n_{i=1} \frac{X_i - 2}{\sqrt{2n}} \sim N(0, 1)\\[/tex]
[tex]\to Z_n = \frac{1}{\sqrt{n}} \sum^n_{i=1} (X_i -2) \sim N(0, 2)\\[/tex]
[tex]\to P(-1 \leq X_n \leq 2) = P(Z_n \leq Z) -P(Z_n \leq -1) \\\\[/tex]
[tex]= 0.92 -0.24\\\\= 0.68[/tex]
Metallic colored plastic is being injected into molds to manufacture small beads for a crafts supplier. One of these beads is comprised of attached congruent square pyramids, as shown below.
7 mm
6 mm
How much plastic is needed to make each of these beads?
A. 112mm3
b 504mm3
c. 168mm3
d84mm3
Answer:
Volume of Beads = 84 mm³
Step-by-step explanation:
Given:
Side of base = 6 mm
Height = 7 mm
Find:
Volume of Beads
Computation:
Volume of Beads = Volume of a square pyramid
Volume of Beads = [1/3][Area of base][h]
Volume of Beads = [1/3][6 x 6][7]
Volume of Beads = 84 mm³