\( \qquad \qquad\huge \rm༆ Answer ༄\)
Here's the solution ~
\(\qquad \sf \dashrightarrow \: - 3y - ( - 8y)\)
\(\qquad \sf \dashrightarrow \: - 3y + 8y\)
\(\qquad \sf \dashrightarrow \: 5y\)
The required result is 5y
Please help thank you
Answer: D (4,1)
Step-by-step explanation:
2x + 3(x-3) = 11
2x + 3x - 9 = 11
5x = 11 + 9
x = 20/5 = 4
y = x-3
= 4-3 = 1
Maria has a paper route with 100 customers. She delivers a paper to each customer once a
week. Each week she is paid $25.00 plus an additional $0.05 for each paper she delivers.
Maria wants to buy a phone that costs $230.00, including taxes. How many weeks will it
take Maria to earn enough money to buy the phone?
Answer: 9
Step-by-step explanation:
25x9 = 250+ tax
can someone help me solve -2(8m+8)=-16
Find the base of a parallelogram with a hight of 10.5 feet and an area of 189 square feet?
Base=18
Step-by-step explanation:
I have used area equals to base times height that's the formula of a parallelogram and I've gotten that base equals to 18 hope this helps.
You have been asked to cut a 1.5m roll of bubble wrap into 30 cm lengths, which are used to wrap CDs before posting to clients. How many pieces of bubble wrap will you end up with?
a. 3
b. 4
c. 5
d. 6
Answer:
c. 5
Step-by-step explanation:
1.5m = 1.5*100 cm = 150 cm
Divide 150 cm by 30 cm,
150/30 = 5
A cyclist cycles a distance of 60 miles in a time of 4 hours.
What is her average speed?
15 mile/1 hours cause 60/4
Meghan is interested in conducting an experiment in which she manipulates the amount of food she gives her Siamese fighting fish. She ensures that the size of the fish tank is identical for each fish, and that fish are assigned into groups randomly. What aspect of this experiment has Meghan not worked out
There are a number of aspects to consider when designing an experiment to manipulate the amount of food given to Siamese fighting fish. One of the most critical is ensuring that all other variables are kept constant so that any observed changes in fish behavior can be attributed solely to the change in food intake.
In the present case, Meghan has taken steps to ensure that the size of the fish tank is identical for each fish and that they are assigned to groups randomly. However, she has not mentioned anything about keeping water temperature, lighting conditions, or other variables constant. While Meghan’s approach is a good start, it is important to keep in mind that the Siamese fighting fish is a highly sensitive species that can be easily stressed by changes in its environment. Therefore, any small variations in water quality, temperature, or lighting can have a significant impact on the behavior of the fish. To ensure that the experiment is as rigorous as possible, it is necessary to keep all these variables constant across all groups of fish. In addition, it is also important to monitor the health of the fish carefully throughout the experiment to ensure that they are not being harmed by the manipulation of food intake. If these additional steps are taken, the results of the experiment will be more reliable, and the conclusions drawn from them will be more accurate.
In conclusion, Meghan has not yet considered the importance of keeping all environmental variables constant in her experiment. It is critical that water quality, temperature, lighting, and other variables be kept identical across all groups of fish to ensure that the observed changes in behavior are due solely to the change in food intake. By taking these additional steps, the results of the experiment will be more reliable, and the conclusions drawn from them will be more accurate.
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VIVIENNE READ 3/5 OF A BOOK THAT IS 165 PAGES LONG. HOW MANY PAGES DID VIVIENNE
READ?
Answer:
99 pages.
Step-by-step explanation:
First divide 165 by 5, to get 1/5th of the book. The answer is 33
Now, multiply 33 by 3 in order to get 3/5ths of the book.
You get 99 pages.
if we are given a right-tail probability (or area) a and want a measurement m, which function in excel should we use? assume that the mean of the distribution is mu and the standard deviation is sigma.
The function in Excel that we should use to find a measurement M given a right-tail probability (or area) A is = NORM.INV(1-A, mu, sigma)
In order to find a measurement M given a right-tail probability A in Excel, we can use the NORM.INV function. The NORM.INV function in Excel returns the inverse of the normal cumulative distribution for a given probability.
The formula for NORM.INV function is:
= NORM.INV(1-A, mu, sigma)
where:
A is the right-tail probability (or area)
mu is the mean of the distribution
sigma is the standard deviation
The function returns the measurement M such that the right-tail area from M to infinity under the normal curve is equal to A.
Note - In some versions of Excel, the function may be called NORM.INV.RT instead of NORM.INV.
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Solve 2x + 5y = −13
3x − 4y = −8
(4, 1)
(−4, 1)
(4, −1)
(−4, −1)
Answer:
Step-by-step explanation:
6x + 15y = -39
-6x + 8y = 16
23y = -23
y = -1
2x - 5 = -13
2x = -8
x = -4
(-4, -1)
Option 4
Answer:
(−4, −1)
Step-by-step explanation:
I got it right on the test
XY parallel to BC find angle P and angle Q
Answer:
P=77, Q=60
Step-by-step explanation:
Angle BCA is 180-137=43. BCA and YAC are opposite interior angles, which are congruent, so YAC is also 43.
To find P, you just take 60+P+43=180 (straight line). So, P should be 77.
You can figure out Q by using the total degrees in a triangle, 180. You have the other two angles now (43 and 77), so Q is 180-43-77=60. Incidentally, this is also the opposite interior angle of XAB, which is equivalent to Q at 60.
just answering 2 and 4 would be great please and THANK YOU!
2.4x(x-5)(x+6)
4. 2-i
Answer:
2. We cannot simplify the expression "4x(x-5)(x+6)" any further.
4. 2-i is a complex number.
Step-by-step explanation:
Can somebody help me with this plz? It’s timed
Answer:
D) a= u-2b over 4
im not totally sure but i think thats it
\(4a - 2b = u \\ 4a = u + 2b \\ a = \frac{u + 2b}{4} \)
Sandhill Corporation sells three different models of a mosquito "zapper." Model A12 sells for $60 and has unit variable costs of $42. Model B22 sells for $120 and has unit variable costs of $84. Model C124 sells for $480 and has unit variable costs of $360. The sales mix(as a percentage of total units) of the three models is A12,60\%; B22, 15\%; and C124,25%. What is the weighted-average unit contribution margin? (Round answer to 2 decimal places, es. 15.50.)
The weighted-average unit contribution margin is $46.20.
The weighted-average unit contribution margin can be calculated by multiplying the unit contribution margin of each model by its respective sales mix percentage, and then summing up the results.
To find the weighted-average unit contribution margin, we first calculate the unit contribution margin for each model by subtracting the unit variable costs from the selling price:
For Model A12:
Unit contribution margin = Selling price - Unit variable cost
= $60 - $42
= $18
For Model B22:
Unit contribution margin = Selling price - Unit variable cost
= $120 - $84
= $36
For Model C124:
Unit contribution margin = Selling price - Unit variable cost
= $480 - $360
= $120
Next, we multiply each unit contribution margin by its respective sales mix percentage:
Weighted contribution margin for Model A12 = 60% * $18 = $10.80
Weighted contribution margin for Model B22 = 15% * $36 = $5.40
Weighted contribution margin for Model C124 = 25% * $120 = $30.00
Finally, we sum up the weighted contribution margins:
Weighted-average unit contribution margin = $10.80 + $5.40 + $30.00 = $46.20. Therefore, the weighted-average unit contribution margin is $46.20.
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Find the values of the six trigonometric functions of theta with the given constraint.
Function value: Tan theta is undefined
Constraint: pi <= theta <= 2pi
Answer:
The six trig ratios at 3pi/2 are:
sin(3pi/2)=-1
cos(3pi/2)=0
tan(3pi/2) (undefined)
csc(3pi/2)=-1
sec(3pi/2) (undefined)
cot(3pi/2)=0
Step-by-step explanation:
If tangent is undefined then cosine would have to be 0 given that tangent is the ratio of sine to cosine.
cosine is 0 at pi/2 and 3pi/2 in the first rotation of the unit circle.
3pi/2 satisfies the given constraint.
The six trig ratios are therefore:
sin(3pi/2)=-1
cos(3pi/2)=0
tan(3pi/2)=-1/0 (undefined)
Reciprocal values:
csc(3pi/2)=-1
sec(3pi/2) undefined since cos(3pi/2)=0
cot(3pi/2)=0/-1=0
Answer:
Step-by-step explanation:
tan θ is undefined at θ=π/2 and 3π/2
sin π/2=1
cos π/2=0
tanπ/2=undefined
csc π/2=1
sec π/2= undefined
cot π/2=0
sin 3π/2=sin (π+π/2)=-sin π/2=-1
cos 3π/2=cos (2π-π/2)=cosπ/2=0
tan (3π/2)=tan (π+π/2)=tanπ/2=undefined
csc 3π/2=csc (π+π/2)=-csc π/2=-1
sec 3π/2=sec(2π-π/2)=secπ/2=undefined
cot 3π/2=cot(π+π/2)=cotπ/2=0
In a survey about shopping behaviors, 300 300 randomly selected sophomores are asked about their shopping preferences. It is found that 12.5% 12.5 % of the sophomores shop online at least once per month. The margin of error is ±1% ± 1 % . There are approximately 12,000 12,000 sophomores in the state. Using the data from the sample survey, what is the estimated number of sophomores who shop online, at least once per month? Between 1,380 1,380 and 1,500 1,500 Between 1,500 1,500 and 1,620 1,620 Between 1,380 1,380 and 1,620 1,620 Between 1,350 1,350 and 1,620 1,620
The estimated number of sophomores is between 1,380 and 1,620. Then the correct option is C.
Given that:
The sample proportion is 12.5% or 0.125, and the population size is 12,000.
We can use the following formula to calculate the estimated number of sophomores who shop online at least once per month:
Estimated number = sample proportion x population size
The estimated number using this lower bound (i.e., 12.5% - 1%):
Estimated number = 0.115 x 12,000 = 1,380
Similarly, the estimated number using this upper bound (i.e., 12.5% + 1%):
Estimated number = 0.135 x 12,000 = 1,620
Therefore, the estimated number of sophomores who shop online, at least once per month, is between 1,380 and 1,620, which means that the answer is "Between 1,380 and 1,620".
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Two opposite angles of a parallelogram are 3x+4 and 5x-2 find measure of all angles of parallelogram
Answer:
=The opposite angles of a parallelogram are equal
=(3x+4)
=(5x-2)
=-2x=-6
=x=6+2
=x=3=
1st angle=3x+4=13
3rd angle=5x-2=13
=sum of adjacent side of angle is 180°
=Let the adjacent (2nd angle ) be y=
y+13°=180°
=y=180°-13°
=y=167°=
2nd angle=4th angle
=2nd angle=167°
=4th angle=167°
Step-by-step explanation:
This might be confusing, but I hope it helps <3
Algebra 2 help needed asap
Answer:
The number of beads Emery uses to calculate how many 4 necklaces and 7 bracelets are 152 beads.
Step-by-step explanation:
This is a simultaneous equation.
let's make n the number of necklaces, and b the number of bracelets.
8n + 3b = 172. 1st equation
1n + 5b = 77. 2nd equation.
you have to make one of the Bs or the Ns the same.
I chose B. it doesn't matter which side you choose.
40n + 15b =860. I multiplied by 5
3n + 15b =231. I multiplied by 3
then you subtract. because the signs are the same.
40n - 3n = 37n, 15n - 15n = 0, 860 - 231 = 629
37n =629. we divide both sides by 37
n = 17. one necklace has a total of 17 beads.
we substitute to find the number of bracelets (b).
choose any of the 1st or 2nd equations.
1n + 5b = 77
(17) + 5b = 77
5b = 77- 17
5b = 60
b = 12. one bracelet has a total of 12 beads.
NOW: find how many beads Emery uses to calculate how many 4 necklaces and 7 bracelets.
equation: 4n + 7b = ?
4(17) + 7(12) = 152
which means there are 152 beads.
YOU SHOULD BE GRATEFUL. :D
evaluate 4g-124g−124, g, minus, 12 when g=5g=5g, equals, 5.
When g = 5, the Value of the expression 4g - 124g - 124 is -724.
To evaluate the expression 4g - 124g - 124 when g = 5, we substitute the value of g into the expression and perform the necessary calculations. Let's proceed step by step:
Step 1: Substitute g = 5 into the expression:
4(5) - 124(5) - 124
Step 2: Simplify the expression using the order of operations (PEMDAS):
20 - 620 - 124
Step 3: Perform subtraction from left to right:
-600 - 124
Step 4: Calculate the final result:
-724
Therefore, when g = 5, the value of the expression 4g - 124g - 124 is -724.
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Use Scenario 10-1. Which of the following best explains why it was important to know that the university had
6000 or more entering freshman before using z-procedures in this situation?
A. If the size of the freshman classes were much smaller, we could not be confident that the
Normality condition for these procedures had been met.
B. The central limit theorem would not apply if the population size was below 500.
C. To meet the independence condition for this procedure, we needed to know that the
samples were less than 10% of the population size.
D. To meet the random condition for this procedure, we needed to know that the samples
were less than 10% of the population size.
E. The information about the size of the Freshman classes was not important, it was added to
the problem simply to provide extraneous numbers.
important to know the size of the freshman classes in relation to the population size before using z-procedures in this situation, so the answer will be option C
In statistical inference, when using z-procedures such as hypothesis testing or constructing confidence intervals, one of the assumptions is that the samples are independent. In this scenario, knowing that the university had 6000 or more entering freshmen is important to ensure that the sample size is less than 10% of the population size.
The 10% condition is necessary to maintain the independence of samples. When the sample size is small relative to the population size, each sample observation has a greater impact on the population proportion, potentially violating the assumption of independence.
By ensuring that the sample size is less than 10% of the population size, we can reasonably assume that each sample observation is independent of each other. This allows us to use z-procedures and rely on the properties of the normal distribution for inference.
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boys to girls in the ratio 4:5 if there are 95 girls how many boys are there
Step-by-step explanation:
4/9× 95answer is 42remainder 2Plz help me I need this for a grade
Answer:
It not a function... the two points would be (0,3) and (-3,0)
Step-by-step explanation:
what is the null hypothesis in words? group of answer choices the (population) mean amount of time reading and sending e-mails daily is greater than 60 minutes. the (population) mean amount of time reading and sending e-mails daily is equal to 60 minutes the (sample) mean amount of time reading and sending e-mails daily is equal to 60 minutes. the (sample) mean amount of time reading and sending e-mails daily is greater than 60 minutes.
The null hypothesis is a common statistical theory that contends that there is no statistically significant association between any two sets of a single observed variable.
The hypothesis suggests no two given sets make any significance meaning until and unless they are proven wrong.
As given in the example,
The group of answer choices the (population) mean amount of time reading and sending e-mails daily is greater than 60 minutes and the (population) mean amount of time reading and sending e-mails daily is equal to 60 minutes.
You can see in one set the amount of reading and sending e-mails is more than 60 minutes and in other one the amount of time reading and sending e-mails is equal to 60 minutes which doesn't make any sense if you consider them both in a single set of information.
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Match the trigonometry formula to its correct ratio. Reduce the ratio if necessary.
Step-by-step explanation:
mark me as brilliant plzzz
Answer:
4/3 = tan A
4/5 = sin A
3/5 = cos A
Step-by-step explanation:
Define the adjacent, hypotenuse, and opposite lengths in the triangle.
Hypotenuse: 20
Opposite: 18
Adjacent: 12
Tan, sin, and cos formulas:
Tan A = opposite/adjacentSin A = opposite/hypotenuseCos A = adjacent/hypotenuseI think it should be pretty easy to do the rest by simplifying the fractions and then getting the answer!
Have a lovely rest of your day/night, and good luck with your assignments! ♡
What number could replace k below?
\dfrac{1}{10} = \dfrac{10}{k}
Hey there!
1/10 = 10/k
FIRST you have to CROSS MULTIPLY
1 • k = 10 • 10
1 • k = 1k ➡️ k
10 • 10 = 100
k = 100
Therefore, your answer is: k = 100
Good luck on your assignment and enjoy your day!
~Amphitrite1040
richard and teo have a combined age of 42 richard is 12 years older than twos age how old are richard and teo
Answer:
teo= 15 years old
richard= 27 years old
Step-by-step explanation:
richard=r
teo=t
r + t=42
t + 12= r
u can use substitution here
(t+12) + t=42
2t + 12= 42
2t=30
t= 15
to find r, you just do 15 + 12= 27
to check you can do 27 + 15= 42
The age of Richard and Teo will be 27 years and 15 years, respectively.
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.
Richard and Teo are 42 years old. Richard is 12 years older than Teo.
Let x be the age of Richard and y be the age of Teo. Then the equation is given as,
x + y = 42 ...1
x = y + 12 ...2
From equations 1 and 2, then we have
y + 12 + y = 42
2y = 30
y = 15
Then the value of the variable 'x' is given as,
x = 15 + 12
x = 27
The age of Richard and Teo will be 27 years and 15 years, respectively.
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1. sec x-tanx sinx = 1/sec x2. 1+cosx/sinx = csc x Cot x
Both of the given equations have no solution.
1. sec x-tanx sinx = 1/sec x
The left-hand side of the equation can be simplified by using the identity that sec(x) = 1/cos(x) and tan(x) = sin(x)/cos(x). So,
sec x - tan x sin x = 1/cos x - sin x/cos x sin x = 1/cos x - sin^2 x/cos x = 1/cos x - (1-cos^2 x)/cos x = 1/cos x - (1/cos x) = 1/cos x - 1/cos x = 0.
On the right-hand side, sec x = 1/cos x, so 1/sec x = cos x. Hence,
0 = cos x
This equation has no solution, which means that the original equation sec x - tan x sin x = 1/sec x has no solution.
2. 1 +cosx/sinx = csc x Cot x
We can simplify the left-hand side of the equation by using the identity that csc(x) = 1/sin(x) and cot(x) = cos(x)/sin(x). So,
1 + cos x/sin x = 1/sin x * cos x/sin x = cot x.
Hence,
1 + cot x = cot x
This equation has no solution, which means that the original equation 1 +cosx/sinx = csc x Cot x has no solution.
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How do I solve 4y^2=81 by factoring
So on solving the provided question we cans say that factors of 4y^2=81 are - y = +9/4 and - 9/4
what is prime factor?Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.
factors of 4y^2=81
are -
y = +9/4 and - 9/4
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Samantha went shopping with her friend Ally and found the sneakers she wanted on sale. The
regular price of the sneakers are $140 but today they are 25% off (that means she is paying 75% of
the regular price). What did Samantha pay for the sneakers on sale?
Answer:
$105
Step-by-step explanation:
In a situation like this you have to look at 140 as 100, if you have 4 quarters that is 1 dollar in change, take away one quarter and you have 75(%), which in this case is what Samantha has to pay. So to solve this you find 140 divided by 4 (35) then multiply that by 3 (105) and there is your answer!
Factoring expressions with higher powers. Factor completely: 3b^2+12b-63
The whole factoring of the phrase is \(3(b + 7) (b - 3)\)
What are some instances of factor expression?Factors are items which are multiplied by the other items in an expression. You can use a number, variable, sentence, or any other longer expression. For instance, 2, x, and y are the components of 2xy.
What in mathematics is a factor expression?Rewriting an equation as the sum of factors is referred to as factor expressions or factoring. For instance, 3x + 12y may be expressed as 3 (x + 4y), which is a straightforward equation. The computations get simpler in this method. Three or (x + 4y) were examples of factors.
First, we can factor out \(3\)
\(3b^2 + 12b - 63 = 3(b^2 + 4b - 21)\)
The numbers are \(+7\) and \(-3\)
\(b^2 + 4b - 21 = (b + 7)(b - 3)\)
Putting it all together,
\(3b^2 + 12b - 63 = 3(b^2 + 4b - 21) = 3(b + 7)(b - 3)\)
Therefore, the expression is \(3(b + 7)(b - 3)\).
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