After a series of movements starting on the 10th floor, the elevator stopped on the 13th floor.
To determine which floor the elevator was on when it stopped, we need to perform a series of additions and subtractions based on the elevator's movements, as described:
The elevator started on the 10th floor.
It traveled up 4 floors: 10 + 4 = 14th floor.
Then down 6 floors: 14 - 6 = 8th floor.
Then down 2 more floors: 8 - 2 = 6th floor.
Finally, it went back up 7 floors: 6 + 7 = 13th floor.
After completing all these movements, the elevator stopped on the 13th floor.
Find the area of the triangle.
5
13
Given h(x) = 2x - 1, find h(-1).
Answer:
h(-1) =-3
Step-by-step explanation:
h(x) = 2x - 1
Let x = -1
h(-1) = 2(-1) -1
h(-1) = -2-1
h(-1) = -3
2x + y = 4
y = 3x - 1
Is (1, 2) a solution to both equations?
yes or no?
Answer: yes
Step-by-step explanation:
2x+y=4 x=1 and y=2 2(1)+2=4
y=3x-1 3(1)-1=2
Question 4 (1 point)
What is the solution to the equation 3(2x + 5) = 3x + 4x?
a
x = 0
b
x = 4
с
x = 15
d
x= 5
Answer:
x=15
Step-by-step explanation:
3(2x+5)=3x+4x
6x+15=3x+4x. *multiplied parentheses by 3*
15=3x+4x+-6. *moves all x to one side*
15=× * added
x=15
The hu family goes out for lunch and the price of the meal is $43 the sales tax on the meals is 7% and the family also leaves a 20% tip on the pretax amount what is the total cost of the meal
Answer:
$54.61
Step-by-step explanation:
For this question, you would need to figure out how much the total is without the tax.
.2 x 43 = 8.6
After you do that, you would need to find the total with tax.
.07 x 43 = 3.01
Add all of those up.
43 + 8.6 + 3.01 = $54.61
Feel free to let me know if you need more help. :)
ASAP PLEASE! A windshield wiper blade turns through an angle of 135 degrees. The bottom of the blade traces an arc with a 9-inch radius. The top of the blade traces an arc with a 23-inch radius. To the nearest inch, how much longer is the top arc than the bottom arc? HELP
Answer:
33 inches to the nearest inch.
Step-by-step explanation:
Length of an arc = rC where r = the radius and C is the angle through which it turns in radians.
So for the 23 inch radius: length = 23 * 135 * π / 180
and for the 9 inch radius: length = 9 * 135 * π / 180
The difference = 23 * 135 * π / 180 - 9 * 135 * π / 180
= 14 * 135 * π / 180
= 32.99 inches.
The nearest inch, the top arc is approximately 33 inches longer than the bottom arc.
To find out how much longer the top arc is than the bottom arc, we need to calculate the lengths of both arcs and then find the difference between them.
The formula to calculate the length of an arc is:
[tex]\[ \text{Arc length} = \text{radius} \times \text{angle in radians} \][/tex]
First, we need to convert the angle from degrees to radians, since the formula for arc length uses radians.
[tex]\[ \text{Angle in radians} = \frac{\text{Angle in degrees} \times \pi}{180} \][/tex]
[tex]\[ \text{Angle in radians} = \frac{135 \times \pi}{180} \][/tex]
[tex]\[ \text{Angle in radians} = \frac{3\pi}{4} \][/tex]
Now, let's calculate the lengths of both arcs:
For the bottom arc (with radius 9 inches):
[tex]\[ \text{Arc length}_\text{bottom} = \frac{27\pi}{4} \][/tex]
Now, to the nearest inch, we can approximate the difference:
[tex]\[ \text{Difference} \approx 10.5 \times 3.14 \][/tex]
[tex]\[ \text{Difference} \approx 32.97 \][/tex]
Rounded to the nearest inch, the top arc is approximately 33 inches longer than the bottom arc.
Yasmin arrived home from play practice at 4:25 p.M. The walk home took 15 minutes. Practice began 20 minutes after the final bell and lasted for a half hour. When did school school end?
Answer:
School ended at 3:20 pm
Step-by-step explanation:
The school ended at the same time as the final bell. We will call this time "x". After 20 minutes the practice began, therefore it began at "x + 20 min" and it lasted for 30 min, therefore it ended at "x + 50 min". She took an additional 15 minutes to get home, therefore she got home at "x + 65 min" or "x + 1h05min". We know that she arrived at 4:25, so:
x + 1:05 = 4:25
x = 4:25 - 1:05
x = 3:20 p.m.
School ended at 3:20 pm
in Connecticut the sales tax rate is 6.35% find sales tax amount and the total price of a pillow that costs $ 8.00
To calculate the sales tax for an $8.00 pillow in Connecticut, convert the 6.35% tax rate to decimal and multiply it with the pillow's price, then round to the nearest cent and add to the original price. The sales tax is $0.51, making the total price $8.51.
To find the sales tax amount and the total price of an $8.00 pillow in Connecticut, with a sales tax rate of 6.35%, follow these steps:
First, convert the percentage to a decimal by dividing by 100. So 6.35% becomes 0.0635.
Next, multiply the pillow's price by this decimal to calculate the sales tax amount. That is $8.00 * 0.0635 = $0.508.
Since you need to round to the nearest penny, round $0.508 to $0.51.
Finally, add the sales tax to the original price to get the total cost. So the total price is $8.00 + $0.51 = $8.51.
The sales tax on an $8.00 pillow is $0.51, and the total price including tax is $8.51.
What is the measure of ∠P?
Answer:
65°
Step-by-step explanation:
all angles in a trapezium equate to 360°
R is 115°
115+115=230
360-230=130
130÷2=65
Answer:
65
Step-by-step explanation:
sum of co-interior angles is 180
115 + P =180
P = 180-115 = 65
help me out. i’m stuck.
Answer:
4
Step-by-step explanation:
b^4 /4
Let b=2
2^4 /4
16/4
4
Solve x squared-2x-24=0
Answer:
x=-12
Step-by-step explanation:
−2x−24+24=0+24
−2x=24
Step 2: Divide both sides by -2.
−2x /−2 = 24 /−2
x=-12
You can get $24 for working 3 hours. One day you got $40, how long did you work?
Answer: 5 hours
Step-by-step explanation:
If you get $24 for 3 hours divide them 24 divided by 3 is 8
you get 8 dollars every hour.
40 divided by 8 is 5
so you worked for 5 hours.
hope this works!!
really want brainliest!!!
Tell wether the slope of the line is positive,negative,zero or undefined
A. Positive
B. Negative
C. Zero
D. Undefined
Answer:
D. Undefined
Step-by-step explanation:
The line is a vertical line.
Vertical lines have undefined slopes
Answer:
Undefined
Step-by-step explanation:
Vertical lines will always have undefined slopes. This is a vertical line because it is straight up and down.
To make sure, we can test 2 points: (2,1) and (2,2) in the slope formula
y2-y1/x2-x1
2-1/2-2
1/0
It is impossible to divide by 0, so the slope is undefined.
-8 - 3a+ 46 Please help! i have a bunch more questions like this so stay tuned to help me please!
Answer:
−3a+38
Step-by-step explanation:
i simplified the expression
Determine the average/mean of the following set of integers: -7, 12, 3, -4, 8, -1, 3
Answer:
2
Step-by-step explanation:
If you add them all you get 14, divide it by the amount of terms, 7, and you get 2.
The volume of a box 4 in. wide, 2 in. high, and 5 in. long is:
A. 22 in.
B. 40 cu. in.
C. 11 cu. in.
D. 40 sq. in.
E. 11 sq. in.
Answer:
d 40 for volume you multiply all the numbers by eachother
Step-by-step explanation:
4 ×2=8
8×5=40
Answer:
Volume of box = 40 cu. in.
Step-by-step explanation:
Width of box = 4 in.
Height of box = 2 in.
Length of box = 5 in.
Volume of box = Width × Height × Length
= 4 × 2 × 5
= 40 cu. in.
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent. Photo attached.
Solve −5+1/4x=3x+6 by graphing.
Answer:
hope its right lol
To solve the equation -5+1/4x=3x+6 by graphing, rewrite the equation, graph it, and identify where the line crosses the x-axis. This x-coordinate represents the solution. If the line doesn't cross the x-axis, there's no solution.
Explanation:To solve the equation −5+1/4x=3x+6 by graphing, begin by rewriting the equation as 1/4x − 3x = 6 + 5. This simplifies to -2.75x = 11. Next, graph the equation y = -2.75x + 11 on a coordinate plane.
To find the x-coordinate for the solution, see where the line crosses the x-axis (meaning y = 0). This will give you your solution, which is the value of x that makes the equation true.
However, you may find that graphing the given equation results in a line that does not intersect the x-axis. This means the equation has no solution when y equals to zero.
Learn more about Solving equations by Graphing here:https://brainly.com/question/29878978
#SPJ12
PLEASE HELP ME
Mean: $620 Median: $610 Mode: $600
The following statistics represent weekly salaries at the Midtown Construction Company: First quartile: $580
Third quartile: $645 85th percentile $685
c. About what percent of employees’ salaries surpassed $645?
d. About what percent of employees’ salaries surpassed $685?
e. If the company has 100 employees, what is the total weekly salary of all employees?
The mean, median, and mode of the weekly salaries at the Midtown Construction Company are provided. We can use this information to answer questions about the percentage of salaries surpassing certain values and the total salary of all employees.
Explanation:To answer the question, we need to understand what each statistical term means.
The mean is the average of a set of numbers. In this case, the mean salary is $620.
The median is the middle value of a set of numbers when they are arranged in ascending order. In this case, the median salary is $610.
The mode is the value that appears most frequently in a set of numbers. In this case, the mode salary is $600.
Now, let's answer the questions:
c. To find the percentage of employees' salaries that surpassed $645, we need to calculate the percentage of values that are greater than $645 in the data set. Since the third quartile is $645, we know that 75% of the salaries are less than or equal to $645. Therefore, about 25% of the salaries surpassed $645.
d. To find the percentage of employees' salaries that surpassed $685, we need to calculate the percentage of values that are greater than $685 in the data set. Since the 85th percentile is $685, we know that 85% of the salaries are less than or equal to $685. Therefore, about 15% of the salaries surpassed $685.
e. To find the total weekly salary of all employees, we need to multiply the mean salary ($620) by the number of employees (100). Therefore, the total weekly salary of all employees is $62,000.
Six times a number plus another number tripled
Answer:
(6x2)+(3x3)=
Step-by-step explanation:
Step-by-step explanation:
Hello there!
This question is ambiguous.
I'm assuming you want to write an equation for the given expression.
These are just a few of the ways that we can write it:
3(6n+x)
6n+3x
:)
If the length of FG is 6 units, what is the length of EH?
FG goes through the center of the circle, so FG is diameter.
[tex]d = 2r \\ r = \dfrac{d}{2} \\ \\ r = \dfrac{6}{2} = 3[/tex]
EH=r=3
Answer: EH=3
A bag contains 2 red, 4 blue, and 4 yellow marbles. What is the probability of pulling a red marble, putting the marble back, and then pulling a blue marble?
13.82%
10%
14%
8%
Answer: 8%
Step-by-step explanation:
Drag each pair of equations to show if the system has no solutions, one solution, or infinitely many solutions.
Answer:
1. No solutions
2. one solution
3. one solution
4. infinite many solutions
5. one solution
Step-by-step explanation:
Answer:
Step-by-step explanation:
A town has 10,000 two-child families. Design a simulation to estimate the percentage of two-child families with two girl. Choose the right simulation tool.
Answer:
The simulation tool could be a coin flip, with heads up representing a girl and tails up representing a boy. One trial would require flipping the coin twice. One table would show the outcome of two coin tosses as tally marks, and indicate whether the results were boy-boy, boy-girl, or girl-girl.
Final answer:
A simulation to estimate the percentage of two-child families with two girls involves using a random number generator, assigning numbers to represent gender, and conducting repeated trials. By calculating the proportion of simulations resulting in two girls, we can estimate the percentage of such families in the town.
Explanation:
To estimate the percentage of two-child families with two girls in a town of 10,000 such families, a simple simulation could employ a random number generator as the simulation tool. We can model each child as a separate random event with an equal probability of being a girl or a boy, ignoring other complexities such as multiple births or gender selection.
Here is a step-by-step explanation of how the simulation could be designed and conducted:
Assign numbers to represent the outcomes: 1 for a girl and 0 for a boy.
For each simulation, use a random number generator to produce two numbers (each being 0 or 1) to represent the two children in a family.
If both numbers generated are 1, then that simulation represents a family with two girls.
Repeat the simulation 10,000 times, once for each family.
Count the number of simulations that resulted in two girls.
Divide the count of two-girl families by the total number of families (10,000) to get the percentage of families with two girls.
This process would simulate the random assignment of genders in two-child families and allow the estimation of the percentage of families with two girls.
Multiply 2x(x^2 + 5)
please help, I'm being timed, will mark brainliest
Your family moves from Tennessee to California. After a few weeks, you notice that temperatures are much cooler in California than they were in Tennessee.
Which factors cause these cooler temperatures? Check all that apply.
being closer to the ocean
being farther from the ocean
ocean currents bringing cooler air
ocean currents bringing warmer air
mountain ranges
Answer:
Ocean Currents bringing cooler air.
Step-by-step explanation:
Being closer to the ocean is also right but this one makes both right.Being closer to the cold ocean brings colder air.
The cooler temperatures observed on moving from Tennessee to California could be due to:
being closer to the oceanocean currents bringing cooler airWhat factors affect average temperature of an area?Temperature is the degree of coldness or hotness of an object or a particular place.
The temperature of an area is affected by:
climatic conditions ocean currentsmountain rangesCalifornia is area that is closer to the oceans.
Therefore, the cooler temperatures observed on moving from Tennessee to California could be due to:
being closer to the oceanocean currents bringing cooler airLearn more about about temperature at: https://brainly.com/question/4735135
answer quick for brainliest.
Answer:
the slope is 5 the y intercept is 5
Step-by-step explanation:
slope intercept form makes this true
please mark brainliest :)
Answer:
The slope is 10 and the eqation is y+5x Please pray that it is right
Step-by-step explanation:
You invest 7500 into a mutual fund that is expected to earn 7% per year, how long will it take the fun to be worth 15000?
Roger bought 800 shares of a company stock for 15.34/share. He pays the broker commission of 20 dollars to buy or sell stock after one year Roger sold all his shares when they were worth 18.77/share.
A.) how much it cost to buy the stock?
B.) what is the net gain or loss?
C.) what was the rate of return?
Answer:
10.2 years
gain is $2,704.00
rate of return is 22%
Step-by-step explanation:
The it would take for mutual to double can be determined the future value formula as shown below:
=nper(rate,pmt,-pv,fv)
rate is the rate of return of 7% per year
pmt is the periodic amount placed in the mutual fund and it not applicable here
pv is the original amount invested which is $7,500
fv is the future worth of $15,000
=nper(7%,0,-7500,15000)=10.2 years
cost of shares=actual cost of purchase+broker's commission
=(800*$15.34)+$20=$12,292.00
gain on shares=sales proceeds-cost=(800*$18.77)-$20-$12,292.00=$2,704.00
rate of return=gain/original cost=$2,704.00/$12,292.00 =22%
-5+ 3= 2) -7 -4 3) 122 × (-9) 4) -6 divided by 3/4
Answer:
Step-by-step explanation:
1) -5 +3 = -2
When two numbers are in different sign, subtract and the result will have the bigger numbers sign. The bigger number is 5. so the result is (-2)
2) -7 - 2 = -9
When two numbers have same sign, add and the result will have the common sign
3) 122 * (-9) = - 1098
4) -6 ÷ (3/4)
[tex]=(-6)*\frac{4}{3}\\\\=-2*4[/tex]
= -8
05.02 MC)
On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. What is the area of the sign?
A right trapezoid is shown with a height labeled 5 feet and one of the bases labeled as 8 feet, and the other base is labeled as 6 feet.
30 square feet
35 square feet
45 square feet
50 square feet
Add the two bases together, divide by 2 then multiply by the height.
8+6 = 14
14/2 = 7
7x5 = 35
The area is 35 square Feet