AnswerJust plug in x=-3, y=2 and z=-1 and simplify to get 2%28-3%29-%284%282%29-3%29%2B5%28-3%29%28-1%29=-6-%288-3%29%2B15=-6-5%2B15=4. So 2x-%284y-3%29%2B5xz=4 when x=-3, y=2 and z=-1
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
Plug in 4 as x and -6 as y
4y/2x
4(-6) / 2(4)
-24 / 8
= -3
So, the expression is equal to -3
The price of technology stock has risen $9.87 today yesterday's price is $9.74 find the percentage increase round your answer to the nearest 10th of a percent percentage.
Step-by-step explanation:
To find the percent increase, divide the increase by the original price.
P1 = price yesterday
P2 = price today
To find percent increase
[tex] \frac{(p2 - p1)}{p1} [/tex]
Or to answer the question,
P1 = 9.74
P2 = 9.87
[tex] \frac{(9.87 - 9.74)}{9.74} = 0.013347[/tex]
Or 1.33%
write the fraction 4/10 as a product of a whole number and a unit fraction
Answer:
Step-by-step explanation:
Answer:
4 x 1/10
Step-by-step explanation:
All you have to do is to add 1/10 + 1/10 + 1/10 + 1/10.
Add the numerators 1+1+1+1=4 and keep your denominator.
So just add 1/10 4 times, thas why the answer is 4 x 1/10.
In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What are the lower and upper limits of a box-and-whiskers display of this data
Answer:
[tex]L =52[/tex] --- Lower Limit
[tex]U =82[/tex] --- Upper Limit
Step-by-step explanation:
Given
[tex]N = 10[/tex]
[tex]Data: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66[/tex]
Required
Determine the lower and upper limits of box and whisker display
First, arrange the data in ascending order
The sorted data is:
[tex]Data: 65, 66, 67, 68, 71, 73, 74, 77, 77, 77[/tex]
The lower limit (L) is calculated using:
[tex]L = Q_1 - 1.5 * (Q_3-Q_1)[/tex]
The upper limit (U) is calculated using:
[tex]U =Q_3 + 1.5 * (Q_3-Q_1)[/tex]
Q1 is calculated using:
[tex]Q_1 = \frac{1}{4}(N+1)[/tex]
[tex]Q_1 = \frac{1}{4}(10+1) = 2.75 = 3rd\ data[/tex]
[tex]Q_1 = 67[/tex]
Q3 is calculated using:
[tex]Q_3 = \frac{3}{4}(N+1)[/tex]
[tex]Q_3 = \frac{3}{4}(10+1) = 8.25= 8th\ data[/tex]
[tex]Q_3 = 77[/tex]
So:
[tex]L = Q_1 - 1.5 * (Q_3-Q_1)[/tex]
[tex]L =67 - 1.5*(77-67)[/tex]
[tex]L =67 - 1.5*10[/tex]
[tex]L =67 - 15[/tex]
[tex]L =52[/tex]
[tex]U =Q_3 + 1.5 * (Q_3-Q_1)[/tex]
[tex]U =67 + 1.5*(77-67)[/tex]
[tex]U =67 + 1.5*10[/tex]
[tex]U =67 + 15[/tex]
[tex]U =82[/tex]
HELP! WILL GIVE BRAINLIEST!
Based on the graph, is there only one solution?
A. Yes
B. No
find the x- and y- intercepts of the following: 10x-4y=-20
Answer:
y-intercept=5
x-intercept=-2
Step-by-step explanation:
To find the y intercept, plug in 0 for x. So you get 10(0)-4y=-20. Simplify, and clear out the negatives on both sides because they cancel each other out. 4y=20 would be your final equation. y=5.
To find the x intercept, you plug in 0 for y this time. The equation is 10x-4(0)=-20. Simplify to get, 10x=-20. You cannot remove the negative because there isn't a negative sign on the 10x. -20/10 is -2.
please mark brainliest it will help me a lot.
You are painting a room that is 16 feet long, 10 feet wide, and 8 feet high. On the walls of the room, there are two windows that are each 2 feet wide and 5 feet tall, and a door that is 4 feet wide and 7 feet tall. A gallon of paint covers 350 square feet. How many gallons of paint do you need to cover the 4 walls with one coat of paint, not including the windows and the door
You will need approximately 1.33 gallons of paint to cover the four walls with one coat, not including the windows and the door.
Given that,
Room dimensions:
Length: 16 feet
Width: 10 feet
Height: 8 feet
Features on the walls:
Two windows:
Width: 2 feet
Height: 5 feet
One door:
Width: 4 feet
Height: 7 feet
Paint coverage:
1 gallon of paint covers 350 square feet
Calculate the area of the walls first:
Subtract the area of the windows and door area from the total wall area.
The total wall area is the sum of the areas of all four walls.
The area of each wall is calculated by multiplying the height of the room by its length.
So, the area of each wall = 8 feet (height) x16 feet (length)
The area of each wall = 128 square feet.
Calculate the area of the windows and the door.
The area of each window is calculated by multiplying its width by its height.
So, the area of each window = 2 feet (width) x 5 feet (height)
The area of each window = 10 square feet.
The area of the door is calculated by multiplying its width by its height. So,
The area of the door = 4 feet (width) x 7 feet (height)
The area of the door = 28 square feet.
Now, subtract the total area of the windows and the door from the total wall area.
Total wall area = 4 walls x 128 square feet
Total wall area = 512 square feet
The total area of the windows = 2 windows x 10 square feet
The total area of the windows = 20 square feet
The total area of the door = 1 door x 28 square feet
The total area of the door = 28 square feet
Area to be painted = Total wall area - Total area of the windows - Total area of the door
Area to be painted = 512 square feet - 20 square feet - 28 square feet
Area to be painted = 464 square feet.
Now, we can determine the number of gallons of paint needed.
Since 1 gallon of paint covers 350 square feet,
Divide the area to be painted by 350.
The number of gallons of paint needed = Area to be painted / Coverage per gallon
The number of gallons of paint needed = 464 square feet / 350 square feet/gallon
The number of gallons of paint needed ≈ 1.33 gallons.
Hence, you will need approximately 1.33 gallons of paint to cover the four walls with one coat, not including the windows and the door.
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i need help with this
Answer:
just put any number for the answer if im reading it right they should all answer 0
Step-by-step explanation:
hope i helped ;)
Solve the inequality for x. Be sure to show all work to receive full credit.
−3x + 5 ≤ −16
Answer:
x ≥ 7
Step-by-step explanation:
First, put the same terms on the same side. So subtract 5 from both sides. You will get:
-3x ≤ -21
Divide both sides by -3 to get x alone. When dividing, the inequality sign will change to the opposite. So it will go from a (less than or equal to) sign to a (greater than or equal to) sign.
You will get:
x ≥ 7
Therefore, x will be a number that is greater than or equal to 7.
Write 0.000 97 in standard form
Answer:
[tex]9.7 \times 10 {}^{ - 4} [/tex]
The standard form of given number [tex]9.7[/tex]×[tex]10^{-4}[/tex]
What is standard form?Standard form is a way of writing down in easy form of very large or very small numbers.
Let E is the standard form of given number
E=0.00097
E= [tex]\frac{97}{100000}[/tex]
E=97×[tex]10^{-5}[/tex]
E=[tex]9.7[/tex]×[tex]10^{-4}[/tex]
The standard form of given number [tex]9.7[/tex]×[tex]10^{-4}[/tex]
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Translate the following, "Three times a number is at least that number plus 1 ""
Answer:
3x ≥ x+1
Step-by-step explanation:
Let the number be x.
ATQ,
Three times of a number = 3x
At least means ≥
So,
3x ≥ x+1
So, the required inequality is 3x ≥ x+1.
3) Use the situation to choose the correct answer.
A radioactive substance loses its mass at a rate of 12% every second. At the beginning
of an experiment, the substance has a mass of 6 centigrams.
After 5 seconds, how much mass is left of the radioactive substance? Round your
answer to the nearest hundredth centigram.
5.28 cg
03.17 cg
O 3.60 cg
O 0.72 cg
Answer: 3.60 cg
Step-by-step explanation:
just did the assignment
6/5 of ______ is 30
Please help
It is 36.
180/5 = 36
5/5 = 1
When we put that together, we can see that our complete answer is:
36/1
The complete and simplified answer to the question what is 6/5 of 30 is:
36.
What operation should be done first to solve 6x + 5 = 35?
Answer:
Subtract 5
Step-by-step explanation:
Pemdas is done backwards in algebra
Bob was thinking of two numbers. He said the larger of his numbers was 8 more than the smaller number. He chose to represent the smaller number with an x. Which of the following is an expression that can be used to represent the larger number in terms of x?
Answer:
x+8
Step-by-step explanation:
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 72.6 Mbps. The complete list of 50 data speeds has a mean of x=18.55 Mbps and a standard deviation of s=19.69 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
Answer:
a. 54.05 Mpbs.
b. 2.745... standard deviations.
c. The z-score is 2.745....
d. The carrier's highest data speed is significantly high.
Step-by-step explanation:
a. The difference between the highest measured data speed and the mean is 72.6 - 18.55 = 54.05 Mbps.
b. The amount of standard deviations of 54.05 Mbps is equal to this value divided by the standard deviations, so we yield [tex]\frac{54.05}{19.69} = 2.745...[/tex] standard deviations.
c. The z-score is equal to the difference between the mean and a data point in standard deviations, so the z-score is 2.745....
d. 2.745... is not between -2 and 2, so the carrier's highest data speed is not insignificant - so it's significantly high.
A TV Screen is measured according to the diagonal of the screen. If a 65-inch TV has a height f 33 inches, what is it's width?
Answer:
The width of the TV screen is 56 inches.
Step-by-step explanation:
We can find the width of the TV screen by using Pitagoras:
[tex] D^{2} = H^{2} + W^{2} [/tex]
Where:
D: is the diagonal = 65 in
H: is the height = 33 in
W: is the width =?
Then, the width is:
[tex] W = \sqrt{D^{2} - H^{2}} = \sqrt{(65 in)^{2} - (33 in)^{2}} = 56 in [/tex]
Therefore, the width of the TV screen is 56 inches.
I hope it helps you!
Answer:
56in
Step-by-step explanation:
write the equation of the line that is parallel to y=4x-1 and passes through the point (4.9)
9514 1404 393
Answer:
y = 4x -7
Step-by-step explanation:
Rearranging the slope-intercept for equation, we can find the intercept:
y = mx +b
y -mx = b . . . . . subtract mx
We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.
b = 9 -4(4) = -7
The desired equation is ...
y = mx +b
y = 4x -7
Subtract. Write your answer as a fraction in simplest form. 1/9−(−4/9)=?
Answer:
1/3
Step-by-step explanation:
i hope its right ...
Which type of triangle is formed given the following angle measurements?
Angle 1: 50 degrees
Angle 2: 110 degrees
Angle 3: 20 degrees
LOOK AT PIC, ASAP, ROGHT ANSWER GETS BRAINLIEST !
Answer:
Step-by-step explanation:
The teacher has 7/8 pounds of clay given.
gives out 1/16 per station
7/8= 0.875 pound
7/8 / 1/16 pound= 14 maximum stations
14 stations divided by 2 classes = 7 in each room
Here is a rectangle
7 cm
3 cm
Nor drawn
accurately
A square has the same perimeter as the rectangle.
What is the side length of this square?
Answer:
a square and rectangle have the same perimeter. the length of the rectangle is 4 cm less than twice the side of the square, and the width of the rectangle is 6 cm less than the side of the square.
Step-by-step explanation:
jayfeather friend me
The required side length of the square is 5 cm.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
Given that,
Length of rectangle = 7 cm,
Width of rectangle = 3 cm.
The perimeter of rectangle = 2(length + width)
= 2(7 + 3)
= 2 x 10
= 20
Also, given that the perimeter of the rectangle is equal to the perimeter of a square,
Let side of square is a then perimeter = 4a
⇒ 4a = 20
⇒ a = 5
The side length of the square is 5 cm.
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Find the total surface and each pyramid. Round to the sea
SHOW YOUR WORK!
Answer:
328 square inches
PLZ MARK AS BRAINLIEST
Step-by-step explanation:
Lateral Area of Pyramid:
L = 1/2Pl
l = 15.9
P = 2(8.2) + 2(8.2) = 32.8
L = 1/2(32.8)(15.9) = 260.76
Surface Area:
SA = B + L
B = (8.2)(8.2) = 67.24
L = 1/2(32.8)(15.9) = 260.76
SA = 67.24 + 260.76 = 328
A club is going to raise money by printing calendars with photos of the community. The cost of printing the calendars is $5.50 per calendar. The photographer also charges a one-time cost of $200 for taking the photos. The club has $1500 to cover the initial costs of the calendar. Create an equation that represents the number of calendars the club can print. Use the variable n for the number of calendars
Answer:
[tex]n = \frac{1300}{5.50}[/tex]
[tex]n = 236[/tex]
Step-by-step explanation:
Given
The cost of printing one calendars [tex]= 5.5[/tex] dollars
The one time charge of taking photo [tex]= 200[/tex] dollars
The total sum of money with the club [tex]= 1500[/tex] dollars
The total sum of money going into printing of calendars [tex]= 1500 -200 = 1300[/tex] dollars
The total number of calendars that can be printed with remaining [tex]1300[/tex] dollars is equal to
[tex]n = \frac{1300}{5.50}[/tex]
[tex]n = 236[/tex]
Meaning of part of a whole
Answer:
Step-by-step explanation:
a portion or division of a whole that is separate or distinct; piece, fragment, fraction, or section; constituent: the rear part of the house;to glue the two parts together.
Please thank me!
The graph below shows a linear representation of a jogger’s heartbeat in beats per minute, as his speed is increased (in feet per second). What is the slope of the line?
Answer:
The slope is 3.75 OR 3 3/4.
Step-by-step explanation:
So the formula for slope I am using NOW, is based on the variables I named my dimensions. WARNING: NOT SLOPE FORMULA YOU MIGHT BE USING
y = 95 - 80
x = 10 - 6
Slope Formula: y/x
Substituted Slope Formula: (95 - 80)/(10 - 6)
Simplified Substituted Slope Formula: 15/4 OR 3.75
Hope this helps!!
The slope of the given linear equation is 3.75.
Given that, the graph given shows a linear representation of a jogger’s heartbeat in beats per minute, as his speed is increased (in feet per second).
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
From the given graph we have the coordinates (6, 80) and (10, 95).
The slope of an equation = (y2-y1)/(x2-x1)
=(95-80)/(10-6)
=15/4
=3.75
Therefore, the slope of the given linear equation is 3.75.
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Find the value of x. 5+x=7
I need this help me please
Answer:
I think its B
Step-by-step explanation:
Choose Yes or No to tell if the fraction
will make each equation true.
3
+ a
=
23
24
Choose.. v
+=
Choose.. v
13
18
Choose.. v
-=+
Choose.. v
15
Answer:
yes
yes
no
yes
Step-by-step explanation:
Which graph represents the function f(x)=3/2(2)superscript x? I’ll give Brainliest or whatever
Please help!!!!
If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).
Answer:
The value of f(3) is -2.
Step-by-step explanation:
This is a recursive function. So
[tex]f(1) = 2[/tex]
Now, we find f(2) in function of f(1). So
[tex]f(1+1) = f(1)^2 - 3[/tex]
[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]
Now, with f(2), we can find the value of f(3).
[tex]f(2+1) = f(2)^2 - 3[/tex]
[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]
The value of f(3) is -2.
