Answer:
Given below:)
Step-by-step explanation:
1) (x)(x+3)
2) (2x)(x-4)
3) (3x)(2+3x)
4) (4x^2)(3x+1)
I have factorised all of them by taking the common factor out of each
12 is the median age of the kids at my camp. There are 10 kids who are older than 12 and 10 kids who are younger than 12.
Answer:
There are 25 kids in total.Step-by-step explanation:
Remember that the median represents the value at the middle, literally.
So, if 12 is the median, it means is the value at the center of the data set.
Now, according to the problem, there are 10 kids older than 12 and 10 kids younger than 12. That means there are 24 kids who doesn't have 12 years old.
Therefore, there are 25 kids in total.
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
what is it i tried everything
Answer:
Angle X is 80 degrees mate
Step-by-step explanation:
How you may ask? Well since the angle CBD is given as 100 degrees, Angle BFH also becomes 100 degrees as corrosponding angles are always equal. If angle BFH becomes 100 degrees, Angle X becomes 80 degrees as 100+80=180 degrees.
Hope This Helped:)
Answer:
80
Step-by-step explanation:
The angle underneath the given one has to be 80 to form that straight line. And as you should know alternate interior angle are congruent meaning the angle you are looking for has to be 80.
Hope this helps :)
Determine the value of the variables a, b, and c when simplifying and evaluating the expression. 3^8/3^4 = a^b = c
Answer:
3, 4, 81
Step-by-step explanation:
plz thank
The value of a is 3, value of b is 4 and value of c is 81.
To understand more, check below explanation.
Exponential identity:The exponential identity is,
[tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex]
We have to solve, [tex]\frac{3^{8} }{3^{4} }[/tex]
[tex]\frac{3^{8} }{3^{4} } =3^{8-4} \\\\\frac{3^{8} }{3^{4} } =3^{4} \\\\\frac{3^{8} }{3^{4} } =3*3*3*3=81[/tex]
Hence, the value of a is 3, value of b is 4 and value of c is 81.
Learn more about the exponential expression here:
https://brainly.com/question/8844911
What is the exponential regression equation that fits these data? X y 1 3 2 8 3 27 4 85 5 240 6 570 A. Y = 2.93(1.03x) B. Y = 38.73x2 – 168.58x + 158.1 C. Y = 102.54x – 203.4 D. Y = 1.03(2.93x)
Answer:
D) [tex]Y = 1.03(2.93^x)[/tex]
Step-by-step explanation:
To Find the exponential regression equation that fits these data, we substitute the value of x into the equation and see if it produces the value of y.
x: 1 2 3 4 5 6
y: 3 8 27 85 240 570
A. Y = 2.93([tex]1.03^x[/tex])
Substituting x = 1 to get
Y = 2.93(1.03) ≅ 3
Substituting x = 2 to get
Y = 2.93([tex]1.03^2[/tex]) ≅ 3.1
Option A is wrong
B. Y = 38.73x² – 168.58x + 158.1
Substituting x = 1 to get:
Y = 38.73(1)² – 168.58(1) + 158.1 = 28.25
Therefore option B is wrong
C. Y = [tex]102.54^x - 203.4[/tex]
Substituting x = 1 to get:
Y = 102.54 – 203.4 = -100.86
D) [tex]Y = 1.03(2.93^x)[/tex]
Substituting x = 1 to get:
[tex]Y = 1.03(2.93^1)=3[/tex]
Substituting x = 2 to get:
[tex]Y = 1.03(2.93^2)=8.84[/tex]
Substituting x = 3 to get:
[tex]Y = 1.03(2.93^3)=25.9[/tex]
Option D is the closest, it is the correct option
Pam wants to buy a DVD player. The original price is $50. What is the sale price? with a 90% off
Answer:
5 dollars
Step-by-step explanation:
If the price is 90 % off, we will pay 100 - 90 or 10 %
Take the original price times 10 %
50 * 10 %
50 * .10
5
There are three routes from a person's home to her place of work. There are four parking lots where she works, three entrances into her building, two elevators to her floor, and one route from each elevator to her office door. a) How many ways can she go from her home to her office? [2 marks] b) If she makes her various choices at random, what is the probability that she will take Morningside Drive, park in lot A, use the south entrance, and take elevator 1? [3 marks] c) As she starts her car one morning, she recalls parking lots A and B are closed for repair. What is the probability that she will take Industrial Avenue, park in lot D, use the north entrance, and take elevator 2?
Answer:
a) 72
b) 1/72
c) 1/36
Step-by-step explanation:
a) number of ways she can choose route= 3C1 = 3
number of ways she can choose parking lots= 4C1 = 4
number of ways she can choose entrances= 3C1 = 3
number of ways she can choose elevators= 2C1 = 2
number of ways she can go to office= number of ways she can choose route×number of ways she can choose parking lots×number of ways she can choose entrances×number of ways she can choose elevators
number of ways she can go to office= 3×4×3×2
= 72
b) Probability of morning side= number of morning side/ total number of routes= 1/3
probabiltiy of Parking lot A= number of parking lot A/ total number of parking lot= 1/4
probability of south entrance= number of south entrance/ total number of entrances= 1/3
probablity of elevator 1= number of elevator 1/ total number of elevator= 1/2
combine probability= 1/3× 1/4×1/3×1/2 = 1/72
c) Probability of Industrial Avenue= number of industrial avenue/ total number of avenue= 1/3
Probability of parking lot D= number of parking lot D/ total number of parking lot after deducting number of parking lots A and B = 1/2
Probability of north entrance= number of north entrance/ total number of entrance= 1/3
probablity of elevator 2= number of elevator 2/ total number of elevator
= 1/2
combine probability= 1/3 × 1/2 × 1/3 ×1/2
= 1/36
solve for x. 7(x-3)+3(4-x)=-8
Answer:
x=1/4
Step-by-step explanation:
1.distribute the 7 and 3 into parentheses
2. combine like terms
3. add 9 on both sides
4. divide both sides by 4
x=1/4
hope this helped!
Answer:
x = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
7(x-3)+3(4-x)= -8
Expand 7(x-3) and 3(4-x)
i.e. 7x-21+12-3x= -8
4x-9=-8
Collect like terms
4x= -8+9
4x= 1
x = [tex]\frac{1}{4}[/tex]
Hope this helps!!!
An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?
Answer:
It's B
explanation
a woman buys a pair of shoes at a sale.she pays $60,saving $15 on the regular price.The percentage discount on the shoe is
Simplify the expression:
6b – 2b+ 5b – 8
Answer:
9b-8
Step-by-step explanation:
6b+5b-2b-8
11b-2b-8
9b-8
HIIII HELP ME ME HE HE
Answer:
x = 28
y = 32
Step-by-step explanation:
3
4
(x−12)=12
(
3
4
)(x)+(
3
4
)(−12)=12(Distribute)
3
4
x+−9=12
3
4
x−9=12
Step 2: Add 9 to both sides.
3
4
x−9+9=12+9
3
4
x=21
Step 3: Multiply both sides by 4/3.
(
4
3
)*(
3
4
x)=(
4
3
)*(21)
x=28
Answer:
x=28
3
4
y−12+12=12+12
3
4
y=24
Step 2: Multiply both sides by 4/3.
(
4
3
)*(
3
4
y)=(
4
3
)*(24)
y=32
Answer:
x = 28
y = 32
Step-by-step explanation:
Equation 1:
First, we will distribute the 3/4 to everything in the parentheses like this:
[tex]\frac{3x}{4} - \frac{36}{4} = 12[/tex]
We can simplify the 36/4 down like this:
[tex]\frac{3x}{4} - 9 = 12[/tex]
We can add the 9 to the other side:
[tex]\frac{3x}{4} = 21[/tex]
Then multiply the 4 to the other side
[tex]3x = 84[/tex]
Finally, we can divide by 3
[tex]x = 28[/tex]
Equation 2:
We can add 12 to the other side:
[tex]\frac{3y}{4} = 24[/tex]
Then multiply 24 by the 4
[tex]3y = 96[/tex]
Then divide by 3
[tex]y = 32[/tex]
Michelle and her family went out to dinner. Their bill, after tax, came to $40. They want to leave a 15% tip. How much money should they leave for the tip? .
Answer:
tip is $6
Step-by-step explanation:
multiply 40 by 0.15 so 6
Can someone help me ?
Answer:
-2
-1
Step-by-step explanation:
The y-intercept is the point on the y-axis intersected by the graph.
y-intercept is -2
The x-intercept is the point on the x-axis intersected by the graph.
x-intercept is -1
Answer:
see below
Step-by-step explanation:
The x intercept is where it crosses the x axis
It crosses at x = -1
(-1,0)
The y intercept is where it crosses the y axis
It crosses at y = -2
(0,-2)
What is the surface area of a cone that has a radius of 5 units and a height of 10 units?
235.5 units^2 or 75π
Here is why:
The formula for the surface area of a cone is...
[tex]SA=\pi r^2+\pi rl[/tex]
Since you didn't specify if you wanted an exact or approximate answer, I will be doing both. The lateral height is l, so I'm going to assume the height you gave is the lateral height. We can now plug everything in.
[tex]SA=(3.14*5*5)+(3.14*5*10)[/tex]
[tex]SA=78.5+157[/tex]
[tex]SA=[/tex]
235.5
Now that we have the approximate answer, we will find the exact answer or the answer in pi.
[tex]SA=(\pi *5*5)+(\pi *5*10)[/tex]
[tex]SA=25\pi +50\pi[/tex]
[tex]SA=[/tex]
75π
~
The approximate answer for the surface area of the cone is 235.5 units^2 and the answer in terms of pi is 75π.
i need help pls, i would appreciate it !!
Answer:
a. x = 1.2, b. A = 32.1°
Step-by-step explanation:
1.41²-.75²=x²
a. x = 1.2
sin A = 0.75/1.41
b. A = 32.1°
Do you know the answer? if you do I will follow you mark you the best.
Answer:
16:24 is the answer
Hope it helps:)
Step-by-step explanation:
The initial number of cards were
1x:1x
(Equal red cards and black cards)
So, total of 48 and..
24 red cards
24 black cards
Now, since 8 red cards are removed we have,
24-8= 16 red cards
and 24 black cards
So the ratio of red to black is--
16:24
= 2:3 ( i divided both with 8 to simplify )
Pack 48 48/2 =24
Red= 24 24/24 : 24 / 24
Black = 24 1:1
----------------------------------------------------------------
Pack 48 48/2 = 24
Red= 16 24 / 16 : 24 / 24
Black= 24 1,5 : 1
There's 1,5 black cards for each red card
Find the midpoint of the segment with the given endpoints.
(-1,-1) and (10,4)
[tex]answer \\ = (4.5 , 1.5) \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
Are theses exaponents correct!??? 20 points
Answer:
YES
Step-by-step explanation:
YESSSSSSSSSSSSSSSSS IS THE ANSWER i think :))
Answer:yes they are all correct
Step-by-step explanation:
Put in a calculator 2^0=1
And 2^1=2
Remember the exponents tell you how many times you multiply the base number to itself
Hope that helps
Help please this is due in a couple minutes!!!! Anyone know the answer??!!!?
Answer:
the second one
Step-by-step explanation:
correct me if it is wrong
find the initial value of the function x + 3y = 18
A carpenter is cutting a 2 by 4 framing for a roof. The legenth needs to be 5 feet. He allows 0.1 foot possible variation for the length of the cut. What values of l represent the acceptable length for the board in feet?
<OLD>
Answer:
4.9 ≤ l ≤ 5.1
Step-by-step explanation:
'I' represents the length of the acceptable length for the board in feet.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
A carpenter is cutting a 2 by 4 framing for a roof. The length needs to be 5 feet.
He allows a 0.1-foot possible variation for the length of the cut. where variation becomes,
5 - 0.1 ≤ I ≤ 5 + 0.1
4.9 ≤ I ≤ 5.1
Thus, 'I' represents the length of the acceptable length for the board in feet.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ5
What is the solution to y = x² + 5x – 2
y = 3x - 2
Answer:
(0,-2)(-2,-8)
Step-by-step explanation:
Answer:
(0,-2) (-2,-8)
Hope this helps
I need help with questions 3 and 5, i've been struggling for ages but i'm baffled! Someone help please. :)
Answer:
3. 2x + y = 21.
Step-by-step explanation:
3. The diagonals of a rhombus are perpendicular and bisect each other.
So the slope of line AC = -1/m
= -1 / 1/2 = -2.
AC has coordinates (5, 11) so using the point-slope form of a line:
y - 11 = -2(x - 5)
y = -2x + 10 + 11
2x + y = 21.
5. Line L:
x + 2y = 12
2y = -x + 12
y = -1/2x + 6
The slope is -1/2 so the slope m of M is -1 / -1/2 = 2.
The smallest angle of rotational symmetry for a regular polygon is 30°. How many sides does the regular polygon have?
can you do this for me 3x+y=10, 2x^2+y^2=19
Answer:
1 , 29/11
Step-by-step explanation:
3x+y = 10 ....(1)
2x² +y² = 19 ....(2)
3x+y= 10
y = 10-3x
substituting the value of y in 2nd equation
2x² + y² = 19
2x² + (10-3x)² = 19
2x² + 100 + 9x² - 60x -19 = 0
11x² - 60x +81 = 0
11x² - 33x - 27x + 81 = 0
11x( x-3) - 27(x-3) = 0
(x-3)(11x-27) = 0
x = 3, 27/11
substituting x value on first equation
x= 3 x= 27/11
y= 10-3(3) y= 10 - 81/11
= 10-9 = (110-81)/11
= 1 = 29/11
Hope it helps...
f(n) = 9+ 5n; 64
determine which term produces the given answer?
Answer:
the 11th term
Step-by-step explanation:
f(n) = 9+ 5n;
Let f(n) =64
64 = 9+5n
Subtract 9 from each side
64-9 = 9+5n-9
55 = 5n
Divide each side by 5
55/5 = 5n/5
11= n
write 55g as a percentage of 2.2kg
Answer:
2.5%
Step-by-step explanation:
55 grams * 0.001 kg/1 gram=
0.055kg/2.2 kg = 0.025 kg
0.025*100% = 2.5%
Helppp pleaseeeee The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone.What is the volume, to the nearest tenth of a cubic inch, of the plastic object? Explain your answer.
Answer:
Total volume = (145/3)π in³
Step-by-step explanation:
First find the volume of the entire cylinder. The correct formula to use here is:
V = πr²h, where r is the radius and h is the height. Here, with the radius being 5/2 inches and the height being 8 inches, the cylinder volume is
V = π(2.5 in)²(8 in) = 50π in³
Next find the volume of the conical shape: V = (1/3)π(2.5 in)²(0.8 in)
The desired volume is equal to the volume of the entire cylinder LESS the volume of the cone:
π(2.5 in)²(8 in) = 50π in³ LESS (1/3)π(2.5 in)²(0.8 in), which simplifies as follows:
Total volume =
50 π in³ - (1/3)π(2.5 in)²(0.8 in), or
(2.5 in)²π[8 in - 0.8/3 in] = π(6.25 in²)(8 in - 8/30 in) = π( 6.25 in²)(116/15 in), or
Total volume = (145/3)π in³
Simplify the expression by combining like terms.
22+5m-4m+7n8
Answer:
Second Option, m+7n+30
Step-by-step explanation:
First I'd combine the m terms
22+5m-4m+7n-8
5m-4m
=1m
22+1m+7n+8
Now the numbers with no variable
22+1m+7n+8
22 + 8
=30
m+7n+30 is our final answer
Answer:
7n +m +14
Step-by-step explanation:
22 +5m -4m +7n -8
=7n +5m -4m +22 -8
=7n +m +14
