Answer:
B. \(\log_{7} 149+2 = x\)
Step-by-step explanation:
Let \(7^{x-2} = 149\), we proceed to find its equivalent expression by applying logarithm properties:
1) \(7^{x-2} = 149\) Given.
2) \(\log_{7} 7^{x-2} = \log_{7} 149\) Definition of logarithm.
3) \((x-2)\cdot \log_{7}7 = \log_{7} 149\) \(\log_{a} b^{c} = c\cdot \log_{a} b\)
4) \(x-2=\log_{7}149\) \(\log_{a}a = 1\)
5) \(x = \log_{7}149+2\) Compatibility with addition/Existence of additive inverse/Modulative property
6) \(\log_{7} 149+2 = x\) Symmetrical property/Result.
Hence, the right answer is B.
What is the value of x?
(57-5)
Your answer:
x = 15
x = 13
x = 60
ox=37
pls helpppppo
Answer:
x = 13
Step-by-step explanation:
All triangles equal 180 degrees
Since this is an equilateral triangle, all angles have the same measurement
180 degrees divided by 3 angles = 60 degrees per angle
Make an equation based on the info given:
60 = 5x - 5
Solve:
*add 5 to both sides*
65 = 5x
*divide both sides by 5*
13 = x
2. 2.
What is the quotient of 3 and g
Answer:
G has no value
Step-by-step explanation:
So im guessing your expression is 3 ÷ g
(8.41 x 10^-5) - (7.9 x 10^-6)
Answer:
7.62×10^-5
Step-by-step explanation:
Answer: 0.000076
Step-by-step explanation:
8.41(10^-5) - 7.9(10^10-6)
= 8.41 (1/100000) - 7.9(10^-6)
= 0.000084 - 7.9(10^-6)
= 0.000084 - 7.9(1/000000)
= 0.000084 - 0.000008
= 0.000076
how is solving an equation with the variable on each side similar to solving a two-step equation? (I’ll give brainliest :) )
Answer:
the first step in solving an equation with a variable on each sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable.
Step-by-step explanation:
choosing a spade, not replacing it, then choosing a jack
Answer:
Probability means Possibility. It states how likely an event is about to happen. The probability of an event can exist only between 0 and 1 where 0 indicates that event is not going to happen i.e. Impossibility and 1 indicates that it is going to happen for sure i.e. Certainty.
The higher or lesser the probability of an event, the more likely it is that the event will occur or not respectively. For example – An unbiased coin is tossed once. So the total number of outcomes can be 2 only i.e. either “heads” or “tails”. The probability of both outcomes is equal i.e. 50% or 1/2.
Which of the following statements for a simple graph is correct?a) Every path is a trailb) Every trail is a pathc) Every trail is a path as well as every path is a traild) Path and trail have no relation
Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.
In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.
Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.
Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.
Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.
Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.
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Subtract the matrices. What number fills in ?
The missing number for the subtraction of matrices is 4.
How to subtract the matrices?
The subtraction of two matrices of the same size is really direct. You just need to subtract the elements that are in the same position, then:
\(A = \left[\begin{array}{ccc}a_{11}&a_{12}\\a_{21}&a_{22}\end{array}\right] \\\\B = \left[\begin{array}{ccc}b_{11}&b_{12}\\b_{21}&b_{22}\end{array}\right]\\\\A - B = \left[\begin{array}{ccc}a_{11} - b_{11}&a_{12}-b_{12}\\a_{21} - b_{21}&a_{22}-b_{22}\end{array}\right]\)
Then the missing therm will just be equal to the difference between the last two elements of each matrix:
-2 - (-6) = -2 + 6 = 4
The missing number is 4.
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please help me with 1-6 and
Answer:
ALL YES, please mark as brainliest
Step-by-step explanation:
1. same side interior angles (aka consecutive interior angles) theorem
2. corresponding angles theorem
3. vertical angles theorem and same side interior angles theorem
4. vertical angles and corresponding angles theorem
5. vertical angles theorem
6. corresponding angles theorem
Solve the proportion below 4/9 = x/54
Answer is 24
Answer:
24
Step-by-step explanation:
4/9=x/54
4/9*54=x
x=4*6
x=24
Answer:
Yep its 24
Step-by-step explanation:
Heather runs 3 miles in 28 minutes. At the same rate, how many miles would she run in 42 minutes?
Heather runs 3 miles in 28 minutes, so at the same rate, she would run 4.494 miles in 42 minutes.
To find out how many miles Heather would run in 42 minutes at the same rate, we use the concept of unit rate. Unit rate is a comparison of two different quantities when they are combined together. In this case, we need to find the unit rate of Heather's running speed in miles per minute.
Step 1: Find the unit rate of Heather's running speed in miles per minute.
To do this, we divide the distance she ran by the time she took to run it:
3 miles ÷ 28 minutes = 0.107 miles per minute
Step 2: Use the unit rate to find out how many miles Heather would run in 42 minutes.
To do this, we multiply the unit rate by the time she runs:
0.107 miles per minute × 42 minutes = 4.494 miles
Therefore, Heather would run 4.494 miles in 42 minutes at the same rate.
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.
alice has take a job with a starting teacher salary of $50,180 an annual raises of $1750 what will be her salary during her fifth year of the job
Answer:
$58,930
Step-by-step explanation:
y=mx+b
starting value (b) = $50,180
rate of increase (m) = 1750
number of years (x) = 5
y= (1750)(5) + 50180
y= 8750 + 50180
y= 58930
Find the length of a side of the
square shown below.
Х
Х
5V2
x = [?]
Enter
Uh help me I guess you don’t have to if you don’t want to though
Answer:
12cm³
Step-by-step explanation:
1/2x2x6x2=12cm³
Answer:
6x2 well the answer is 24 so like
Step-by-step explanation:
What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
Answer:
Step-by-step explanation:
To find the value of y in the equation 5x + 2y = 20 when x = 0.3, we substitute the value of x into the equation and solve for y.
5(0.3) + 2y = 20
1.5 + 2y = 20
Next, we isolate the term with y by subtracting 1.5 from both sides:
2y = 20 - 1.5
2y = 18.5
Finally, we solve for y by dividing both sides by 2:
y = 18.5 / 2
y ≈ 9.25
Therefore, when x = 0.3, the value of y in the equation 5x + 2y = 20 is approximately 9.25
Hope this answer your question
Please rate the answer and
mark me ask Brainliest it helps a lot
A square room has a floor area of 25 square feet. The height of the room is 6 feet.
The area of the rectangle wall is 30 square feet.
This room has a floor area that is square in shape. Square is defined as an object with equal sides of length and width. Given that the the floor area is 25 square feet, we can figure out the length and width by the following formula and calculation:
Given that (A) is area of a square, and (a) is the equal sides of a square
A = a²
25=a²
\(\sqrt{25} = a\)
5 = a
Therefore each of the side of the floor is 5 feet.
Now that we know that the side of the of the square floor is 5 feet in length, given that the height of the room is 6 feet, we can then calculate the area of the rectangle wall with the following formula and calculation:
Area = width × height
Area = 5×6
Area = 30 square feet
Therefore the area of the wall is 30 square feet.
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Your question seems to be missing but I assume your complete question was:
"A square room has a floor area of 25 square feet. The height of the room is 6 feet. What is the area of the wall?"
8/2 x 777/8 =
What is it?
A bicycle repair shop offers two service packages to its customers: a tune up or a complete overhaul, which includes the tune up plus some additional services. All bicycles go through wheel balancing before leaving the shop. The repair shop is open 60 hours per week and receives an average of 180 bicycles each week. The shop employs three "tune up" technicians, one "additional services" technician, and two wheel balancing" specialists. Past data indicates that 25% of customers opt for the "additional services" option. Wheel Tune Up Balancing T = 75 T= 20 minutes minutes Additional Services T = 72 minutes a) Create a demand matrix for this process b) What will be the daily capacity at each stage of the process? c) Find the implied utilizations for each stage of the process. d) What will be the weekly capacity of the process? e) Is the flow rate of this process capacity-constrained or demand-constrained?
A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.
The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.
a) Creating the Demand Matrix:
To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.
Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:
Demand for tune-up (T) = Total demand - Demand for additional services
T = 180 - (0.25 * 180)
T = 180 - 45
T = 135
Demand for additional services (A) = 0.25 * Total demand
A = 0.25 * 180
A = 45
Now, we can create a demand matrix based on the demand for each service option:
Demand Matrix:
Tune-up Additional Services Wheel Balancing
Tune-up [135 0 0]
Additional [0 45 0]
Services
Total [ 135 45 0 ]
The demand matrix shows the number of bicycles flowing through each stage of the process.
b) Daily Capacity at Each Stage:
To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:
Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes
Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes
Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes
Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))
Substituting the given values:
C = (60 * 60) / (75 + 72 + 20)
C = 21600 / 167
C ≈ 129.34 bicycles per day
Therefore, the daily capacity at each stage of the process is as follows:
Tune-up: 129 bicycles per day
Additional Services: 129 bicycles per day
Wheel Balancing: 129 bicycles per day
c) Implied Utilizations:
To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.
Implied Utilization (U) = Demand / Daily Capacity
For the Tune-up stage:
\(U_{tuneup}\) = 135 / 129 ≈ 1.05
For the Additional Services stage:
\(U_{additional}\) = 45 / 129 ≈ 0.35
For the Wheel Balancing stage:
\(U_{balancing}\) = 0 / 129 = 0
The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.
d) Weekly Capacity of the Process:
To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:
Weekly Capacity = Daily Capacity * Number of days shop is open per week
Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:
Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days
Therefore, the weekly capacity of the process is:
Weekly Capacity = Daily Capacity * Number of days shop is open per week
Weekly Capacity = 129 bicycles per day * 2.5 days
Weekly Capacity = 322.5 bicycles per week
e) Flow Rate and Constraint Analysis:
To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.
Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week
Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week
Comparing the demands with the weekly capacity:
\(T_{demand}\) < Weekly Capacity (135 < 322.5)
\(A_{demand}\) < Weekly Capacity (45 < 322.5)
Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.
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What would be the measure of segment FH?
After testing a hypothesis regarding the mean, we decided not to reject H0. Thus, we are exposed to:a.Type I error.b.Type II error.c.Either Type I or Type II error.d.Neither Type I nor Type II error.
The correct option is d. Neither Type I nor Type II error. The concepts of Type I and Type II errors, and to use appropriate methods and sample sizes to minimize the risk of making such errors.
To understand why, let's first define Type I and Type II errors. Type I error is rejecting a true null hypothesis, while Type II error is failing to reject a false null hypothesis.
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How many flowers, spaced every in., are needed to surround a circular garden with a 125 -ft radius? Use 3.14 for pie.
Answer:
2356 flowers
Step-by-step explanation:
F=1+9420/4=1+2355=2356 flowers
hope this helps
What is the value of |3|
Answer:
3
Step-by-step explanation:
Absoulute Value measures the distance of a number from zero, like distance, absolute value should be always positive
! REMINDER !: You can always double check the answer if hesitant, Don't Pressure yourself and Good Luck!
Solve and graph
3/4 n + 12 ≥ -36
\(\huge\fcolorbox{blue}{yellow}{Answer:}\)
══════════════════════
Answer:
\( = n\geq -64 \)
Solution:
\(\frac{ 3 }{ 4 } n+12 \geq -36\)
\(\frac{3}{4}n\geq -36-12 \)
\(\frac{3}{4}n\geq -48 \)
\(n\geq -48\times \left(\frac{4}{3}\right) \)
\(n\geq \frac{-48\times 4}{3} \)
\(n\geq \frac{-192}{3} \)
=\(n\geq -64 \)
═════════════════════
Explanation:
#Carry on learning
Pilots use precise decimal numbers to determine their altitude when flying. one airplane is flying at a height of 37,890.52 kilometers. another airplane flies at a height of 37,890.89 kilometers. which airplane has a higher altitude? explain how you know.
The second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.
To determine which airplane has a higher altitude, we can compare the decimal parts of the altitudes provided.
The first airplane is flying at a height of 37,890.52 kilometers, and the second airplane is flying at a height of 37,890.89 kilometers. Comparing the decimal parts, we can see that 0.52 is smaller than 0.89.
In the decimal system, as the digits move to the right of the decimal point, their value decreases. So, when comparing two numbers with the same whole part (37,890 in this case), the one with a higher decimal part will be greater.
Therefore, the second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.
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solve the multi step literal equation: solve equation for A b^2A^2-3g=q
Answer:
A = ± \(\sqrt{\frac{q+3g}{b^2} }\)
Step-by-step explanation:
Given
b²A² - 3g = q ( add 3g to both sides )
b²A² = q + 3g ( divide both sides by b² )
A² = \(\frac{q+3g}{b^2}\) ( take the square root of both sides )
A = ± \(\sqrt{\frac{q+3g}{b^2} }\)
5/6 - 1/9 = ?/? - ?/? = ?/?
please help 20 points
i need to know what each ( ?/? ) is
5/6 - 1/9=?/? - ?/? = ?/? , value of each (?/?) is
5/6 -1/9 =15 /18 -2/18 =13 /18.
As given,
5/ 6 - 1/9 =?/? -?/? =?/?
Convert the given terms into like terms
Least common multiple of (6,9)=18
Value of each ( ?/?)
(5/6 ) × ( 3/3) -(1/9) × (2/2)
= 15 /18 - 2/18
= 13 /18
Therefore,5/6 - 1/9 = ?/? - ?/? = ?/? , value of each (?/?) is equal to
5/6 -1/9 = 15 /18 -2/18 = 13/18.
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Please I need help on a true or false
Answer:
True.
Explanation:
When solving equations with unknowns on both sides, it is generally recommended to first deal with the variable terms before dealing with the constant terms. This involves simplifying the equation by combining like terms and isolating the variable on one side of the equation. Once the variable is isolated, you can then solve for its value.\(\)
Isabella is going to an amusement park. The price of admission into the park
is $20, and once she is inside the park, she will have to pay $2 for every ride
she rides on. How much money would Isabella have to pay in total if she goes
on 13 rides? How much would she have to pay if she goes on r rides?
Cost with 13 rides:
Cost with r rides:
Answer:
46$ in total
y=2r+20
If Isabella goes on 13 rides, she would have to pay a total of $46. If she rides 'r' times, the total cost would be expressed by the mathematical equation 20 + 2r.
Explanation:This question relates to a linear relationship involving a fixed cost and a variable cost. In Isabella's case, the fixed cost is the admission fee, which is $20. The variable cost is the rides, where each ride costs $2.
So, if she goes on 13 rides, she will have to pay: $20 (for admission) + ($2 * 13 (rides)) = $20 + $26 = $46.
For r rides, the total cost would be: $20 (for admission) + ($2 * r (rides)). So the total cost for r rides can be expressed in a mathematical equation as: 20 + 2r.
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Solve number 1 that is in the image
Answer:
120, 15
Step-by-step explanation:
Answer:
15,120
Step-by-step explanation:
x-axis-15(read vertically)
y-axis-120(read horizontally)
For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ___________- as the margin of error increases.
For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error decreases as the margin of error increases.
The square root of the variance for the given set of numbers is what the standard deviation examines. It is employed to compute a confidence interval for making judgments (such as accepting or rejecting a hypothesis).
Here, the population standard deviation, and level of significance are the same.
As the margin of error increased.
So, with the increase in the value of the margin of error, there will surely decrease in the value of the sample size
\($$\begin{aligned}&\mathrm{MOE}_\gamma=z_\gamma \times \sqrt{\frac{\sigma^2}{n}}\\&\begin{aligned}\mathrm{MOE} & =\text { margin of error } \\\gamma & =\text { confidence level } \\z_\gamma & =\text { quantile } \\\sigma & =\text { standard deviation } \\n & =\text { sample size }\end{aligned}\end{aligned}$$\)
As the margin of error is in the denominator position in the sample size formula
Hence with an increase in the margin of error sample size decreases.
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P (?≤ z ≤?) =0. 60, Find the z-score? P(z ≥ ? ) = 0. 30, Find the z-score?
The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.
The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.
How to find the Z scoreP(Z ≤ z) = 0.60
We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.
Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.
For the second question:
We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:
P(Z ≥ z) = 0.30
Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).
Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.
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