Answer:
i
Step-by-step explanation:
√-1 is always going to be imaginary i
That is a math rule needed to memorize.
Answer:
i
Step-by-step explanation:
Define the terms factor and quantity. Then for the expression −3(4+x)(z−2−y), list all of the factors, and specify which are quantities.
Answer:
A factor are numbers or variables that can be being multiplied to each other to get another number. A factor is a quantity which is used to multiply or divide another quantity to indicate a measurement difference
A quantity is the total number or amount and it is the subject in a given mathematical operation
In the expression, -3×(4 + x)×(z - 2 - y), the factors are;
-3, (4 + x), and (z - 2 - y)
The quantities are the values that are subject to the mathematical operations including;
3, 4, x, z, 2, and y
Step-by-step explanation:
1) A rectangular carpet has a perimeter of 288 inches. The length of the carpet is 96 inches more than the
width. What are the dimensions of the carpet?
Answer:
The width is 24 inches and the length is 120 inches.
Step-by-step explanation:
Let x represent the width of the carpet
The length can be represented by x + 96
Create an equation:
x + x + x + 96 + x + 96 = 288
Add like terms and solve for x:
4x + 192 = 288
4x = 96
x = 24
So, the width is 24 inches. Plug this into x + 96 to find the length:
x + 96
24 + 96
= 120
So, the width is 24 inches and the length is 120 inches.
simplify : -2(3v -6)
with steps too please
Answer:
-6v - 12
v = -2
Step-by-step explanation:
Simplify:
Apply the rules of the distributed property by multiplying -2 and 3v and -2 and -6: -6v - 12Solve:
Now that we have our simplified form, we can find what v is. First divide each side by -6 to cancel out the -6 next to v. It should now look like this: v = -2How many terms are shown? 3x-2y+4-3z
A. 1
B. 2
C. 3
D. 4
10-9/3 with an explanation
Answer:
Brainliest!
Step-by-step explanation:
you know -9/3 = -3
10-3 = 7
so the answer is 7
20 points!!! pls help
Answer:
C
Step-by-step explanation: c and d are not aligned unlike the rest of them.
Daniel glues two pieces of wood together as part of a model. One piece is 1/2 inch long, and the other is 3/4 inch long. What is the total length of the wood when glued together?
5 points
Answer:
5/4
Step-by-step explanation:
Total length = Sum of the length of the two pieces of wood :
[tex] \frac{1}{2} + \frac{3}{4} \\ lcm = 4 \\ [/tex]
Adjust values according to the lcm
[tex]4 \div 2 \times 1 = 2 \\ 4 \div 4 \times 3 = 3 \\ = \frac{3 + 2}{4} \\ = \frac{5}{4} [/tex]
Answer:
(I think it MIGHT be) 5/4
Step-by-step explanation:
The girl that answered me up above is right
If a number line shows tick marks that are not labeled, can you determine the coordinate of a point located at an unlabeled tick mark?
If other tickmarks are labeled, then you could do some detective work (of sorts) to figure out the unlabeled tickmarks.
For example, let's say we had a number line with 1,2,3,... and let's say that 7 was covered up or erased or smudged. So we have 1,2,3,4,5,6,__,8,9. We could then easily determine that 7 must go in that blank spot. This is just one example of course.
Another example could be that if we had a tickmark right in the middle of two whole numbers, say 0 and 1. This unlabeled tickmark would most likely be 1/2 = 0.5 as its at the halfway point between 0 and 1.
In the diagram, JOK and MON are straight lines. Angle NOP and Angle NOQ are complimentary angles. Calculate the value of x - y.
Answer:
x - y = 118
Step-by-step explanation:
Since ∠ NOP and ∠ NOQ are complimentary then ∠ POQ = 90°
Since JOK is a straight line then
∠ JOP + ∠ POQ + ∠ QOK = 180 , that is
76 + 90 + y = 180
166 + y = 180 ( subtract 166 from both sides )
y = 14
Since MON is a straight line then
∠ MOK + ∠ KOQ + ∠ QON = 180, that is
x + 14 + 34 = 180
x + 48 = 180 ( subtract 48 from both sides )
x = 132
Thus
x - y = 132 - 14 = 118
Divide. Write the quotient in lowest terms 2 1/2 divided by 2 2/3
Answer:
15/16.
Step-by-step explanation:
2 1/2 = 5/2 and 2 2/3 = 8/3 so we have:
5/2 / 8/3 Invert the 8.3 and multiply:
= 5/2 * 3/8
= 15/16.
Answer:
The answer is
[tex] \frac{15}{16} [/tex]Step-by-step explanation:
[tex]2 \frac{1}{2} \div 2 \frac{2}{3} [/tex]To solve the expression convert the mixed number to an improper fraction
That's
[tex]2 \frac{1}{2} = \frac{5}{2} [/tex][tex]2 \frac{2}{3} = \frac{8}{3} [/tex]So we now have
[tex] \frac{5}{2} \div \frac{8}{3} [/tex]To solve this change the division sign to multiplication sign and reverse the second fraction
That's
[tex] \frac{5}{2} \times \frac{3}{8} [/tex]Multiply
We have the final answer as
[tex] \frac{15}{16} [/tex]Hope this helps you
What is f(-4) for the function f?
f(x) = 2x + 3
Answer:
[tex]\Huge \boxed{{f(-4)=-5}}[/tex]
Step-by-step explanation:
The function f(x) is given.
f(x) = 2x + 3
f(-4)
The input for the function f(x) is -4.
x is the input value.
x = -4
Replace x with -4.
f(-4) = 2(-4) + 3
Solve for the brackets.
f(-4) = -8 + 3
Evaluate.
f(-4) = -5
Answer: f(-4) = -5
Step-by-step explanation: Here we're given the function
f(x) = 2x + 3 and we're asked to find f(-4).
In other words, if we put a x into our function, we get a 2x + 3 out.
So what happens when we put a -4 into the function?
Well if we put a -4 into the function, that's f(-4), we get a 2(-4) + 3 out.
Now all we have to do is simplify on the right side.
2(-4) is -8 so we have -8 + 3 which is -5.
So f(-4) is -5.
if two points are givin, then exactly one line can be drawn through those two points. which geomerty trem does the statement represent
Answer:
the correct answer is
Step-by-step explanation:
hope this helps u!!
The length of a rectangle is 3 times its width. The perimeter of the rectangle is 56 inches. What are the dimensions of the rectangle?
Answer:
Width=7
Length=21
Step-by-step explanation:
Width=x
length=3x
x+x+3x+3x=56
8x=56
x=7
width = x = 7
length = 3x = 21
Answer:
Length = 21 and Width = 7
Step-by-step explanation:
Length (L)= 3x width (W)
L = 3W
Perimeter (P) = 56
Perimeter = 2L + 2W
56 = 2(3W) + 2W
56 = 6W + 2W
56 = 8W
W = 56/8
W = 7
L = 3W
L = 3(7)
L = 21
therefore Length = 21 and Width = 7
1. Which of the following is a rational number? (4 points)
V15, 116, 121, V22
O V15
O V16
O V21
O √22
Please I need help!
Please help! Offering brainiest and 5 stars with thanks
Answer:
The answer is 21 people
Answer:
[tex]\huge\boxed{12 \ People}[/tex]
Step-by-step explanation:
According to the ranges in Histogram:
People who took 4-6 hours to finish = 12 people.
Lee can make 18 cookies with two cups of flour. How many cookies can he make with three cups of flour?
Answer:
he can make 27 cookies.
Step-by-step explanation:
9×2 is 18
9×3 is 27
Answer:
27 cookies
Step-by-step explanation:
First find how many cookies one cup of flour can make:
18/2
9 cookies per one cup of flour.
Now find how many cookies three cups of flour can make:
9 cookies = 1 cup of flour
? = 3 cups of flour
9 × 3 = 27
Therefore:
3 cups of flour can make 27 cookies.
which is a defind term a angle b line c point d plane
Answer:
a angle
Step-by-step explanation:
Point, line, and plane are undefined terms.
Angle is a defined term.
A medical rescue helicopter is flying at an average speed of 172 miles per hour toward its base hospital. At 2:42 p.m., the
helicopter is 80 miles from the hospital. Use this information for Items 4-5.
Which equation can be used to determine m, the number of minutes it will take the helicopter to reach the
hospital?
Answer:
The equation that can be used to determine m, the number of minutes it will take the helicopter to reach the hospital is [tex]172 \times (\frac{m}{60} ) = 80[/tex].
Step-by-step explanation:
We are given that a medical rescue helicopter is flying at an average speed of 172 miles per hour toward its base hospital. At 2:42 p.m., the helicopter is 80 miles from the hospital.
As we know that the Distance-Speed-Time formula is given by;
[tex]\text{Distance} = \text{Speed}\times \text{Time}[/tex]
Here, Distance = 80 miles
Speed = 172 miles per hour
Time = m (the number of minutes)
Firstly, as we can see that the speed is in miles per hour but the time is in minutes, so we will convert the time in hours, i,e;
Time = [tex]\frac{\text{m}}{60} \text{ (in hours)}[/tex]
So, [tex]\text{Distance} = \text{Speed}\times \text{Time}[/tex]
[tex]80 = 172 \times (\frac{\text{m}}{60})[/tex]
[tex]\text{m} = \frac{80 \times 60}{172}[/tex]
m = 27.91 ≈ 28 minutes.
Hence, it will take 28 minutes for the helicopter to reach the hospital.
Enter the appropriate abbreviations.
Answer: gal / min
Step-by-step explanation:
What is f(0) given f(x) = 5(x + 2)2 - 10?
Work Shown:
The idea is to replace x with 0 and then use PEMDAS to simplify.
f(x) = 5(x+2)^2 - 10
f(0) = 5(0+2)^2 - 10
f(0) = 5(2)^2 - 10
f(0) = 5(4) - 10
f(0) = 20-10
f(0) = 10
Answer:
10Step-by-step explanation:
[tex]f(x) =5(x+2)^2 -10\\\\f(0) = 5(0+2)^2 -10\\\\= 5(2)^2-10\\\\5(4)-10\\\\20-10\\\\f(0) =10[/tex]
simplify (5m-2n)². please help me with this.
Answer:
25 m^2 -20mn +4n^2
Step-by-step explanation:
(5m-2n)²
(5m-2n)(5m-2n)
FOIL
first 5m*5m = 25m^2
outer 5m*-2n = -10mn
inner -2n * 5m = -10mn
last -2n * -2n = 4n^2
Add together
25m^2 -10mn -10mn + 4n^2
25 m^2 -20mn +4n^2
change to a whole or mixed 17/5
Answer:
3 2/5
Step-by-step explanation:
17/5
How many times does 5 go into 15
5*3 =15 3 times
17-15 =2 so there is 2 left over. This goes over the denominator
3 2/5
Answer:
3 2/5Step-by-step explanation:
[tex]17/5 = 17 \div 5 = 3\:remainder\: 2\\\\= 3\frac{2}{5}[/tex]
A bank charges a 14% interest per annum on a loan. What is the interest rate if charged yearly?
Answer: Per annum means yearly so the interest rate will be 14% as well.
Step-by-step explanation:
Calculate the slope.
Answer: 2/3
Step-by-step explanation:
Since the line is going through the origin it slope will use the formula y/x = k where k is the slope. So you can use any point on the number line to determine the slope.
use the point (3,2) using the formula y/x = k divide the y by x.
k = 2/3
Answer: 0.67
Step-by-step explanation:
Look at the points (3,2), (6,4), and (9,6)
The temperature at 9:00pm one evening was 40 Fahrenheit. Over the next 4 hours the temperature dropped at n average rate of 3 per hour. What was the temperature at 1:00am?
Answer:
28 degrees Fahrenheit
Step-by-step explanation:
If the temperature at 9:00pm one evening was 40 Fahrenheit. And for the next 3 hour it dropped 3 degrees per hour then it would be
40 - 4 times 3 =
40 - ( 4 times 3 ) =
40 - 12 = 28 degrees Fahrenheit
7. How does using a bar diagram help you in predicting the solution to ratio and rate problems?
8. How can you use a bar diagram to check the accuracy of the solution to a ratio or rate problem?
My sister need help asap
Answer:
7) ratio and rate are actually the same thing
they gives a fixed value when two quantities when plotted on a bar diagram helps in determining as well as predicting the solution of the problem.I'm not sure about 7
Order the angle from smallest to larges
Answer:
BCA
Step-by-step explanation:
Explanation:
The smallest angle is always opposite the smallest side of a triangle. The largest angle is always opposite the largest side.
Side AC is the shortest, so angle B is the smallest.
Side BC is the longest, so angle A is the largest
Angle C must be between angles B and A.
[tex]M\times 2^3\times 3^7=6^7.[/tex]. Find M.
Step-by-step explanation:
steps by steps are in the picture I hope this helps you!
Hi, I'm very fonfused on what to do here.
Answer:
C) 212.53
Step-by-step explanation:
3x60=180 (3 minutes is 180 seconds)
180+32.53=212.53 seconds
In right angled triangle (not drawn to scale) measurment (in cm) of two sides are indicated in figure Find value of x in case. (pic is attached on which figure is drawn)
Answer:
5.29 units
Step-by-step explanation:
By Pythagoras theorem:
[tex] {6}^{2} + {x}^{2} = {8}^{2} \\ 36 + {x}^{2} = 64 \\ {x}^{2} = 64 - 36 \\ {x}^{2} = 28 \\ x = \sqrt{28} \\ x = 5.29150262 \: units \\ x \approx 5.29 \: units[/tex]