Answer:
z = -11
Step-by-step explanation:
-5Z = 55
to find z, divide each side by -5
\(\frac{-5Z}{-5} = \frac{55}{-5}\)
z = -11
Answer:
Z = -11
Step-by-step explanation:
When dealing with variables, you want to get it alone so it instantly equals the number.
Since Z is being multiplied by -5, you're going to divide -5 because that's the opposite of multiplying--but you have to do it on both sides, not just the one.
Note that when you're dividing or multiplying a negative and positive number, the result with ALWAYS be negative!
-5Z = 55
/-5 /-5
Z = -11
Just in case, we'll plug in -11 for Z and see if it works.
-5(-11) = 55
Note again that when you're multiplying two negatives it cancels out the negative and makes the answer positive!
Hope this helped :)
Multiple Choice \( \$ 16.80 \) \( \$ 21.60 \) \( \$ 11.40 \) \( \$ 19.40 \)
If your required return is 6% per year, compounded monthly, and you are offered an investment that will pay you $800 a month for 40 years, the approximate amount you would be willing to pay for this investment is $16.80.
To determine the present value of the investment, we need to calculate the discounted value of the future cash flows. In this case, the cash flow is $800 per month, and the time period is 40 years, or 480 months.
Using the formula for present value, which is \(PV = CF / (1 + r)^n\), where PV is the present value, CF is the cash flow, r is the required return per period, and n is the number of periods, we can substitute the given values:
PV = $800 / (1 + 0.06/12)\(^(480)\)
Simplifying the expression, we find that the present value is approximately $16.80. This means that if you want to achieve a required return of 6% per year, compounded monthly, you would be willing to pay approximately $16.80 for this investment.
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A new phone sells for $250 and a used one sells for $75. How many of each are sold if the sales for the day totals $625?.
The number of new phone sold is 1 and the number of old phone sold is 5, if the sales for the day totals $625.
It is given that
A new phone sells for $250
and a used one sells for $75
Let number of new phone is sold = x
and number of old phone is sold = y
Here the total profit for the day is $625
So, 250x + 75y = 625
or 10x + 3y = 25
Now the value of x and y satisfy the above equation, if we take x = 2 and more than 2, it is clear that it not satisfy the above equation. So we made a conclusion here x must be equal to 1 here.
Now, if x = 1
10(1) + 3y = 25
3y = 15
y = 5
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A researcher is investigating the effect of sleep deprivation on learning. She recruits 30 participants and randomly assigns half to a "no sleep" group and half to a "regular sleep" group. The "no sleep" group are required to stay up all night and report to a testing room at 2PM the following day. The "regular sleep" group are instructed to have a normal night's sleep and report to the testing room at 9AM the following day. Unfortunately, a water pipe broke outside the testing room window and there was noisy construction crew working the whole day of testing. Which of the following statements is true?
a. The study may be affected by a situational variable.
b. The construction noise may contribute to variability in test scores.
C. The study has a confounding variable. The groups differ in the time they are to report to the testing room.
d. All of these are true.
The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.
The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.
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Which expression is not equivalent to (5^2x)^3
Answer:
#3
Step-by-step explanation:
For this... you just multiply the exponents together to get 6x
any of the others that do NOT have 6x as a product of exponents is not equiv ..... so #3 is not equivalent
Option 3 is not equivalent to the given expression.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is (5²ˣ)³.
Now, (5⁶ˣ)
(5ˣ)⁶
(5²)³ˣ
Therefore, option 3 is not equivalent to the given expression.
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80 points! Look at pic attached. I will mark brainiest if you explain your reasoning good. Random answers will be reported.
Answer: No, your friend is not correct. You cannot use a similarity transformation to turn a square into a rectangle. Here's why:
1) If you used a similarity transformation, the size and position of the shape would change, but the shape itself remains the same.
2) Squares and rectangles are NOT similar.* Referring to the first point I listed, if the shapes are not similar, then a similarity transformation cannot be used to turn one shape into another.
*Similar means that the edges are proportional to one another, such as a square with sides of 4 meters vs a square with sides of 2 meters: the sides are different lengths, but the shape is the same.
I hope this helps! Please feel free to comment below if you need any clarification. Have a good day, and good luck on your assignment. :)
Simplify:
(7b^4)(-9b^2)
Answer:
-63b^6
Step-by-step explanation:
Answer: −63b6
Step-by-step explanation: Its the right answar.
Perform the calculation, rounding your answer to the proper number of significant figures. \[ 0.32610 \div 1.830= \] Type answer:
Performing the calculation \(\frac{0.32610}{1.830}\) and rounding the answer to the proper number of significant figures gives us approximately 0.178.
To explain the calculation further, we divide 0.32610 by 1.830. The division results in a quotient of 0.1781967213. However, since we need to round the answer to the proper number of significant figures, we look at the least precise number in the given values, which is 1.830 with four significant figures. Therefore, we round the quotient to three significant figures, giving us approximately 0.178 as the final result.
Significant figures are used to indicate the precision of a number or measurement. They include all the certain digits in a number and the first uncertain or estimated digit. When performing mathematical operations, it's important to consider significant figures and round the final result accordingly to maintain accuracy and proper representation of precision.
In this case, the division yields a result with ten significant figures, but we round it to three significant figures since that is the least precise value among the given numbers. This ensures that the answer reflects the appropriate level of precision and adheres to the rules of significant figures.
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Performing the calculation \(\frac{0.32610}{1.830}\) and rounding the answer to the proper number of significant figures gives us approximately 0.178.
To explain the calculation further, we divide 0.32610 by 1.830. The division results in a quotient of 0.1781967213. However, since we need to round the answer to the proper number of significant figures, we look at the least precise number in the given values, which is 1.830 with four significant figures. Therefore, we round the quotient to three significant figures, giving us approximately 0.178 as the final result.
Significant figures are used to indicate the precision of a number or measurement. They include all the certain digits in a number and the first uncertain or estimated digit. When performing mathematical operations, it's important to consider significant figures and round the final result accordingly to maintain accuracy and proper representation of precision.
In this case, the division yields a result with ten significant figures, but we round it to three significant figures since that is the least precise value among the given numbers. This ensures that the answer reflects the appropriate level of precision and adheres to the rules of significant figures.
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Suppose that you have $5,000 to invest. Which investment yields the greater return over a 10 year period: 7.74% compounded daily or 7.8% compounded quarterly? Find the total amount of the investment after 10 years if $5,000 is invested at 7.74% compounded daily. $ (Round to the nearest cent as needed.)
Answer:
We should invest in 7.74% compounded daily as it yields a higher return.
The total investment after 10 years is $10,841.22.
Step-by-step explanation:
a.) at 7.74% compounded daily
\(final = principal(1 + \frac{i}{m} )^{m \times n} \\ = 5000(1 + \frac{0.0774}{365} )^{365 \times 10} \\ = 10 \: 841.2235\)
I assumed there are 365 days in a year.
b.) at 7.8% compounded quarterly
\(final = principal(1 + \frac{i}{m}) ^{m \times n} \\ = 5000 (1 + \frac{.078}{4} )^{4 \times 10} \\ = 10 \: 762.2505\)
QUESTION OF THE DAY: Judy is recreating a small version of the Statue of Liberty out of clay. The scale for the statue is 3 inches to 100 feet. If the actual height of the statue is 305 feet, what would the height of the model be in inches?
Answer:
184in
Step-by-step explanation:
Since the scale for the statue is 3 inches to 100 feet, we can say 3:100 as a ratio.
To find approximately 305 feet you must divide 305 by 100.
100 can go into 300 evenly 3 times. Since the ratio is 3:100 you should multiply how many times the 100ft fit into the 300ft and the 3in (3 x 3) which is about 9in.
One way we can do this is to divide the hight of the Statue by the model height:
305ft 20in = 15.25ft 1in or 184in (12in per foot).
And so for every inch of the model, it represents 15.25 feet.
For 305 it would be
davey q. decides to factor the number 756 into primes. after doing so, he makes a list from this factorization, including each prime in the list as many times as it appears in the factorization. what is the mode of his list?
The smallest positive integer Joelle could have multiplied 756 by
15876
This is further explained below.
What is a perfect square?
Generally, A perfect square number is a number in mathematics that, when its square root is calculated, yields a natural number.
To solve this problem we can do:
By properties of roots
So, so that the multiplication of 756 by an integer becomes a perfect square, you have to multiply it by 21 to make $21^2$ and thus "eliminate" the root.
756 * 21=15876
In conclusion, You can verify that 15876is a perfect square since root (15876)=132 and 132 is a natural number
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Use the FOIL method to check your answer from part A.
Answer: (3x=2) (x+2)
Step-by-step explanation:
Factor by grouping
30 students took SCMA301 and recorded the number the O T-test for paired sampling average students spend more time studying for SCMA301 than SCMA212 The most appropriate method to test the above hypothesis is O Test on two proportions Test on the linear regression slope Chi-square test for independence between two categorical variables T-test assuming unequal variances for two independent samples
The most appropriate method to test the hypothesis that, on average, students spend more time studying for SCMA301 than SCMA212 is the T-test for paired sampling.
Determine the T-test for paired sampling?The T-test for paired sampling is suitable for comparing the means of two related samples. In this case, the same group of 30 students is being observed and compared in two different situations: studying for SCMA212 and studying for SCMA301.
By using the paired sampling T-test, we can analyze the differences between the two sets of paired data (hours spent studying) for each student.
This method accounts for individual differences among students, such as learning styles or study habits, by comparing each student's performance in both courses. It allows us to determine whether there is a significant difference in the mean study hours between SCMA212 and SCMA301 for the same group of students. If the T-test reveals a statistically significant difference, it supports the hypothesis that, on average, students spend more time studying for SCMA301 than SCMA212.
Other methods mentioned, such as the Test on two proportions, Test on the linear regression slope, and Chi-square test for independence between two categorical variables, are not appropriate for comparing continuous numerical data, as in this case.
The T-test assuming unequal variances for two independent samples is also not ideal because we are comparing the same group of students in two different courses.
Therefore, to determine if students spend more time studying for SCMA301 than SCMA212, the most suitable approach is to use a paired t-test to compare the average study times of students in both courses.
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Complete question here:
30 students recorded the number of hours they spent studying during the semester outside of class for SCMA212. The next semester The 30 students took SCMA301and the recorded the no of hours spent studying outside of class for it. I hypothesize that on the same 30 students took SCMA301 and recorded the number the average students spend more time studying for SCMA301 than SCMA212 The most appropriate method to test the above hypothesis is?
T-test for paired sampling
Test on two proportions
Test on the linear regression slope
Chi-square test for independence between two categorical variables
T-test assuming unequal variances for two independent samples
Area of a rectangle is (6x25x + 2) sq. units.
the breadth of the rectangle is 6x - 7 units, what is its length?
write the expression which represents the perimeter of the rectangle
lf x=10m, find the actual length, breadth and area of the rectangle.
Can someone pls help me like plsssssssss
Answer:
2x-8
Step-by-step explanation:
hi
hope it helps you
thank me later
carryonlearing
Answer:
The third one is not the same (2+x-4)
Step-by-step explanation:
2x-8 is the same as -8+2x as it just switched places
With 2(x-4)
You multiply 2 with x and -4
Which is 2x-8
Thus the same
2+x-4
is not the same since if you add 2 and -4
You will get
x-2
Which is not the same as 2x-8
Hope this helps!
At Davidson's Bike Rentals, it costs $17 to rent a bike for 3 hours.
How many dollars does it cost per hour of bike use?
If necessary, round your answer to the nearest cent.
$
per hour
Answer:
$5.67
Step-by-step explanation:
All you have to do is 17 divided by 3 to figure out how much it costs for one hour, that equals 5.666, but you have to round it to the nearest cent, which equals 5.67. ;)
⚠which graph represents the solution to the givin system!? (1 point)⚠
y=-x+4 and y=1/3x+8
A-(-3,7)
B-(0,8)
C-(3,7)
D-(0,4)
WILL GIVE BRAINLYEST PLZZZ
Answer:
A
Step-by-step explanation:
A is the right answer because I took the quiz.
Assume that Y is nermaly distributed N(ψ, α
2
) Moving from the mean (μ)1.96 standard deviations to the left and 1.96 standard deviations to the right, then the area under the normal p. d.f. is: A. 0.05 B. 0.33 c. 0.67 b. 0.05
The area under the normal probability density function (p.d.f.) within 1.96 standard deviations of the mean on both sides is approximately 0.95.
In a normal distribution, the area under the p.d.f. curve represents probabilities. The area between the mean and 1.96 standard deviations to the left or right represents approximately 95% of the data. Since the normal distribution is symmetrical, we can split this area equally on both sides, resulting in approximately 0.475 (or 47.5%) on each side.
To calculate the total area, we add up the areas on both sides: 0.475 + 0.475 = 0.95. This means that 95% of the data falls within the range of 1.96 standard deviations from the mean. Consequently, the remaining 5% is distributed outside this range (2.5% to the left and 2.5% to the right). Therefore, the correct answer is A. 0.05, which corresponds to the area outside the range of 1.96 standard deviations from the mean.
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I need help asappp !!!!! Find mL GHL
sweets are sold loose,or pre-packed in 120g bags
Step-by-step explanation:
The option that has the better value is the loose sweets.
What is division?
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
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Which pack has the better value?
Price per gram for the bag = £1.49 / 120 = £0.0124
Price per gram for the loose sweets = £0.89 / 100 = £0.0089
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the perimeter of a rectangular pool is 5656 meter. if the length of the pool is 1616 meter then find its width
pls explain full
Answer:
Length= 1616 m
Perimeter= 5656 m
= 2X L+ B
Breadth= Perimeter- Length /2
= 5656m - 1616 m
= 4040 /2
= 2020 m
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The area of a rectangle is 21 cm². If one side exceeds the other by 4 cm, find the dimensions of the rectangle.
Answer:
3cm and 7cm
Step-by-step explanation:
The length is 7cm.
The width is 3cm.
Area = Length × Width = 7cm × 3cm = 21cm²
Solve the math problem
No spamming
Answer:
Right is the answer
Step-by-step explanation:
Answer:
right
Step-by-step explanation:
If the lengths of the sides of a triangle satisfy the equation a² + b² = c², then the triangle is a right triangle.
the drive time for a college student commuting between her dorm and her coop job is uniformly distributed between 20 and 45 minutes. the probability that she will get to work in 30 mins or less is
The probability that a college student will get to work in 30 mins or less is 0.4 or 40%.
What does uniformly distributed probability mean?
Uniform distribution refers to a type of probability distribution in which all outcomes are equally likely to occur.
According to the given question:
Since the time is uniformly distributed, every possible travel time has the same likelihood of occurring.
Lower boundary (L) = 20 minutes
Upper boundary (U) = 45 minutes
The probability that a student finishes her trip in 30 minutes or less is:
P (t ≤ 30) = (30 - L)/(U - L)
= (30 - 20)/(45 - 20)
= 10/25
= 0.4 or 40%
The probability that she will get to work in 30 mins or less is 0.4 or 40%
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this is for the brainlist winner
Assume the Hex Contents are given for registers CX-003B What is the content of CX and Carry flag CF after execution of statement ' Neg CX ? CX=003B, CF-1 CX-FFC5, CF=1 CX=FFC5, CF=0 None
The execution of 'NEG CX', we have:
CX = FFC5
CF = 1
What is the content?
we can determine the content of CX and the Carry Flag after the execution of the statement 'NEG CX', we need to first understand what the 'NEG' instruction does.
The 'NEG' instruction is used to negate the value of the operand by subtracting it from 0. In other words, if the operand is X, then NEG X is equivalent to 0 - X. This instruction affects the Carry Flag (CF) to indicate whether or not there was a borrow during the operation.
apply this to the given scenario. We are given that CX initially contains the value 003B.
Execute 'NEG CX'
In this step, we negate the value of CX by subtracting it from 0.
0 - 003B = FFC5 (in two's complement representation)
we have performed a subtraction, we need to check if there was a borrow. In this case, there was a borrow because we subtracted a smaller value from a larger value, so the Carry Flag will be set to 1.
The content of CX after the execution of 'NEG CX' is FFC5. This is because we subtracted the value of CX from 0 using two's complement representation.
The Carry Flag (CF) is set to 1 because there was a borrow during the subtraction. Specifically, the subtraction of 003B from 0 required borrowing from the 16-bit position, which caused the Carry Flag to be set to 1.
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Which symbol in a chemical equation separates the reactants from the products? = → >
The symbol in a chemical equation that separates the reactants from the products is →
How to determine the symbol?A chemical equation is represented as:
A + B → C + D
Where A and B are the reactants, and C and D are the products.
The symbol → links the reactants with the products
Hence, the symbol that separates the reactants from the products is →
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Answer:
→
Step-by-step explanation:
edge 2022
You purchase a video game system for $150. You make a down payment of $25. You pay the rest of the money you owe in 5 equal monthly payments with no interest. How much is each monthly payment ?
Can you help me set the problem up too? thx
9514 1404 393
Answer:
$25
Step-by-step explanation:
Let p represent the monthly payment. There are 5 of them, so the amount of their total is 5p. That, together with the down payment, makes up the entire cost of the system.
5p +25 = 150 . . . . an equation representing the relationships
__
To solve this, subtract 25 and divide by 5.
5p = 125
p = 125/5 = 25
Each monthly payment is $25.
Simplify this expression.
6m4 n4
12m
Answer:
18m+n4
Step-by-step explanation:
i think.
Answer: girly im not gonna lie im no mathematician but i came up with 18m 8n i sowy if it's wrong but, you can't blame a girl from trying .
Step-by-step explanation: i combined like terms but im probably still wrong just saying .
Find the truth set of 2y+4 > -6
Answer:
Let's solve your inequality step-by-step.
2y+4>−6
Step 1: Subtract 4 from both sides.
2y+4−4>−6−4
2y>−10
Step 2: Divide both sides by 2.
2y /2 > −10 /2
y>−5
Answer:
y>−5
Answer:
\(y = - 5\)
Step-by-step explanation:
\(2y + 4 > - 6 \\ 2y > - 6 - 4 \\ 2y > - 10 \\ \frac{2y}{2} > \frac{ - 10}{2} \\ y > - 5\)
hope this helps you.
A train is moving at an average speed of 180 m/s. how long will it take to reach the station. Both stations are 80 km apart?
1 km = 1000 meters.
Find total meters: 80 km x 1000 meters per km = 80,000 meters.
Divide total meters by the given speed:
80,000 meters / 180 m/s = 444.44 seconds.
1 minute = 60 seconds
444.44. Seconds / 60 seconds per minute = 7.41 minutes = 7 minutes 24.42 seconds
Total time = 7 minutes 24.42 seconds
Round as needed.