Answer:
y=mx+b broken down is in the step by step explanation.
Step-by-step explanation:
y=mx+b is the y intercept formula.it is mostly used for slopes.
y is usually equal to the total,or final answer.it is the start.
m is equal to the slope.in the formula.it can also be used as the rise over run,which means the top number is the amount of units you go up for rise,and run is the bottom number which is the amount of units you move to the right.if it is negative,you move the opposite ways.if it is a single number,the bottom number can be 1.
x is equal to the number you multiply m,or the slope by.
b is equal to where you start on the vertical line in the graph.a way to remember it is horizontal is like a horizon,it’s flat.
Find the exact valued the function f(x)=6•4^x fox x=-2
Answer:
f(-2) = 3/8
Step-by-step explanation:
f(x)=6•4^x
Let x=-2
f(-2) = 6 * 4^-2
The negative in the exponent means it goes to the denominator
f(-2) = 6 * 1/ 4^2
= 6/4^2
=6/16
Simplifying
=3/8
(9. Suppose you deposited $100 in a savings account
4 years ago with a simple interest rate of 2.2%.
The interest that you earned in those 4 years
is $8.80. Which of the following is true? Select
all that apply.
Answer: A and B are true
Step-by-step explanation:
Interest is 0.022, that is 2.2% = 2.2/ 100= 0.022
Principal is %100 as stated in the question
Mark as brainliest
What is the missing denominator?3/4=18/?
Answer:
24
Step-by-step explanation:
The equations just need to be equal so you multiply 3 by 6 to get 8 and then 4 by 6 to get 24
3 / 4 = 18 / 24
determine whether the quadrilateral is a parallelogram justify your answer.
Step-by-step explanation:
Yes, it is a parallelogram because the opposite angles are congruent
Option C
Answer:
yes opposite angles are congruent.
Step-by-step explanation:
On both sides 36 and 144 are congruent or equal
$850, 4%, 6 months . Find simple interest, please help ASAP!!!
The required simple interest is given as $17.
Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
Here,
Principal = $850
Rate = 4%
Time = 6 months
Simple interest = principal × rate/100 × time / 12
= 850 × 4 / 100 × 6/12
= 850 × 0.04 × 1/2
= $17
Thus, the required simple interest is $17.
Learn more about simple interests here:
https://brainly.com/question/26457073
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the cube and rectangular prism have the same base area and height. how can you use this information to determine the volume of the pyramid?
The given pyramid's volume is 40 cubic units.
Step-by-step explanation:
Step 1:
It is given that base areas of the pyramid and the prism are the same. The height is also equal.
The rectangular prism's height is 15 units so as per the given question, the height of the pyramid is also 15 units.
Step 2:
The volume of this pyramid is obtained by multiplying [tex]\frac{1}{3}[/tex] with the product of the pyramid's length, width, and height.
For the given pyramid, length = 2 units, width = 4 units and the height = 15 units.
The pyramid's volume [tex]= \frac{1}{3} (length)(width)(height)[/tex] = [tex]\frac{1}{3} (2)(4)(15) = \frac{1}{3} (120)[/tex] = 40 cubic units.
So the volume of the given pyramid is 40 cubic units.
Nine out of twelve members of a jury are over 35 years old. What percent of the jury is not over 35?
Answer:
75% are so 15%
Step-by-step explanation:
To determine the percentage of the jury not over 35 years old, divide the number of jurors not over 35 by the total number of jurors (3/12) and then multiply by 100, resulting in 25 percent.
Explanation:If nine out of twelve jurors are over 35, then three out of twelve jurors are not over 35. To find out what percentage of the jury is not over 35, we use the following calculation:
Divide the number of jurors who are not over 35 by the total number of jurors. So we get 3/12.To convert this fraction into a percentage, multiply by 100. So we get (3/12) × 100.Perform the multiplication: 3 × 100 = 300, then divide by 12: 300 / 12 = 25.Therefore, 25 percent of the jury is not over 35 years old.
What is the recursive rule for -6,12,-24,48,-96?
Answer:
multiply by -2
Solve for x.
x/6 = 2
x=___________
Answer:
12
Step-by-step explanation:
x/6 = 2
x = 6×2 = 12
Answer:
X=12 (sorry for the handwriting)
hi! can anyone help me pls?
Answer:
Option B, -4 and 4
Step-by-step explanation:
Step 1: Subtract 15 from both sides
y^2 - 1 - 15 = 15 - 15
y^2 - 16 = 0
Step 2: Factor
y^2 - 16
(y + 4)(y - 4)
Step 3: Find the solutions
y + 4 - 4 = 0 - 4 and y - 4 + 4 = 0 + 4
y = -4 and y = 4
Answer: Option B, -4 and 4
Answer:
-4 and 4
Step-by-step explanation:
All you need to do is solve for y
[tex]y^{2} - 1 = 15\\[/tex] (plus 1 to both sides)
[tex]y^{2} = 16[/tex] (take square root of 16)
[tex]y = \sqrt{16}[/tex]
[tex]y = +-4[/tex] (whenever you to the root of a perfect square you want the positive and negative root)
To double check if your answer is right: plug in -4 and +4 in as y and see if it equals 15
1. [tex](4)^{2} - 1 =15[/tex]
[tex]16-1 = 15\\15= 15[/tex]
(positive 4 checks out)
2. [tex](-4)^{2} - 1 = 15[/tex]
[tex]16 - 1 = 15\\15 = 15[/tex]
( negative 4 checks out)
A circular walking path has a diameter of 45 yards. What is the circumference of the dinner plate
Answer:
45pi yards
Step-by-step explanation:
C = Pi x D
D = 45 yards
C = Pi x 45 yards
C = 45Pi yards, or 141.3716694 yards
If you can buy 1/4 pizza for 5 dollars, how much can you purchase for 8 dollars?
Answer: 2/5 pizza
Step-by-step explanation:
In a class of 50 students,27 are athletes 9 are musicians and 6 of the musicians are athletes . If one student is randomly selected from the class , find the probability of choosing an athlete or a musician
Answer: 0.6
Step-by-step explanation:
Total population of class = 50
There are 27 athletes, and 9 musicians However, 6 of the musicians are also athletes.
Therefore, totals for athletes and musicians are:
27 + 9 -6 = 30
Thus, the probability of choosing an athlete or a musician is 30/50= 0.6
We could also use the formula:
P(A or M) = P(A) + P(M) - P(A and M)
P(A or M)=27/50+9/50-6/50
P(A or M)=30/50=0.6
I hope this helps!
I NEED HELP ASAP PICK ALL
Answer:
Where is the question
Step-by-step explanation:
Have to find out what the angle x is respond ASAP pls
Answer: Angle x equals 19 degrees
Step-by-step explanation: We have two polygons, one with five sides and the other with eight sides. The question states that the pentagon has exactly one line of symmetry which means the line that runs down from point D to line AB divides the shape into exactly two equal sides. Hence angle A measures the same size as angle B (in the pentagon).
First step is to calculate the angles in the pentagon. The sum of angles in a polygon is given as
(n - 2) x 180 {where n is the number of sides}
= 3 x 180
= 540
This means the total angles in the pentagon can be expressed as
A + B + 84 + 112 + 112 = 540
A + B + 308 = 540
Subtract 308 from both sides of the equation
A + B = 232
Since we have earlier determined that angle A measures the same size as angle B, we simply divide 232 into two equal sides, so 232/2 = 116
Having determined angle A as 116 degrees, we can now compute the value of angle A in the octagon ABFGHIJK. Since the figure is a regular octagon, that means all the angles are of equal measurement. So, the sum of interior angles is given as
(n - 2) x 180 {where n is the number of sides}
= 6 x 180
= 1080
If the total sum of the interior angles equals 1080, then each angle becomes
1080/8
= 135 degrees.
That means angle A in the octagon measures 135, while in the pentagon it measures 116. The size of angle x is simply the difference between both values which is
x = 135 - 116
x = 19 degrees
I'm really confused about this question about Solving Systems by Elimination
x-y=8
x+y=12
Answer:
x=10
y=2
Step-by-step explanation:
1)add the equations and find what x is.
x-y=8
+x+y=12
—————
2x=20
— —
2 2
x=10
3)fill in x for the second equation.
x+y=12
since x=10,replace x with 10.
10+y=12.
subtract 19 from both sides.
10+y=12
-10 -10
—————-
y=2
The cost of your new contact lenses is $200. If you left 25% deposit upon
ordering the lenses, what is your remaining balance?
Answer: Remaining balance is $150
Step-by-step explanation:
Contact lens= $200
25% of the amount was paid
= 25/100 × 200 = $50
Out of $200 of contact lens, $50 was paid as deposit, subtract $200 from $50 to give balance.
$200 - $50 = $150
I hope this helps.
After calculating a 25% deposit on the $200 contact lenses, which is $50, the remaining balance that needs to be paid is $150.
Explanation:If the cost of your new contact lenses is $200, and you left a 25% deposit upon ordering the lenses, we need to first calculate the amount of the deposit and then determine the remaining balance.
To find the deposit amount, we take 25% of the total cost:
Deposit = 25% of $200Deposit = 0.25 × $200Deposit = $50Once we have calculated the deposit amount, we subtract it from the total cost to find the remaining balance owed:
Remaining Balance = Total Cost - DepositRemaining Balance = $200 - $50Remaining Balance = $150So, after leaving a 25% deposit on the contact lenses, your remaining balance would be $150.
26. Adrian has a cube that has a volume of 64
cubic centimeters. Which is the surface area of
Adrian's cube?
A. 6 square centimeters
B. 16 square centimeters
C. 32 square centimeter
D. 96 square centimeters
Answer:
Bend down
Step-by-step explanation:
Bebebe
Frankie buys some stamps. She
Spends £11.70 on 20 p and 50p,
stamps. She buys twice as many 20p stamps as 50 stamps.how many 20p stamps did she buy ?
Answer:
86'
Step-by-step explanation:
Make x the subject of the formula 6x+a=5(x+t)
Answer: x = 5t - a
Step-by-step explanation:
6x + a = 5 (x + t)
expanding the bracket
6x + a = 5x + 5t
collecting like terms
6x - 5x = 5t - a
x = 5t - a
Answer:
x = 5t - a
Step-by-step explanation:
in order to make x the subject of formulae from the expression 6x+a=5(x+t)
the first step to do is to open the bracket (BODMAS).
6x+a=5(x+t)
6x + a = 5x + 5t
collect the like terms
6x-5x = 5t - a
x = 5t - a
therefore the value of x in the expression , that is expressing x interms of t and a from the expression 6x+a=5(x+t) is solved to be x = 5t - a
For f(x) = 2x+1 and g(x) = x+14, find (gof)(x).
Answer: OPTION B
Step-by-step explanation:
You can observe that the exercise provides you two Linear functions.
The first Linear function is the function f(x). This is:
[tex]f(x) = 2x+1[/tex]
And the other Linear function is the function g(x):
[tex]g(x) = x+14[/tex]
In order to find [tex](gof)(x)[/tex], you need to follow these steps shown below:
Step 1:
You must substitute the function f(x) into the function g(x); this means that the function f(x) will be in the place of the variable "x" of the function g(x); as you can observe below:
[tex](gof)(x) = (2x+1)+14[/tex]
Step 2:
Finally you must combine the like terms (You can notice that the like terms are 1 and 14; then you must add them). Therefore, you get that [tex](gof)(x)[/tex] is:
[tex](gof)(x) = 2x+1+14\\\\(gof)(x) = 2x+15[/tex]
Find the volume of the cylinder.
Either enter an exact answer in terms of it or use 3.14 for T.
with a height of 5 and a radius of 2
Answer:
V=62.8
Step-by-step explanation:
3.14(2)^2(5)
3.14(4)(5)
12.56(5)
62.8
Please Help & Thank You
What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest form.
Answer:
67 [tex]\frac{1}{2}[/tex] [tex]cm^3[/tex]
Step-by-step explanation:
the volume of a rectangular prism is the three sides multiplied together, [tex]h*w*l[/tex]
converting the mixed number to improper fraction to make multiplying easier.
[tex]\frac{9}{2} *6*\frac{5}{2}[/tex] = [tex]\frac{135}{2}[/tex]
converting back to mixed number in simplest form
[tex]\frac{135}{2}[/tex]= 67 R 1
[tex]\frac{135}{2}[/tex]= 67 [tex]\frac{1}{2}[/tex]
Marcus had 824 marbles and put them equally into 5 bags. How many marbles will be remaining after placing 164 marbles in each bag?
Answer:
The right answer is, 4.
Step-by-step explanation:
Why:
164x5 = 820
So:
824-820 = 4
need help !!!!!!!!!!!
Answer:
d
Step-by-step explanation:
8/root3
a picture frame holds a 4-in. by 6-in. photograph. the frame adds a border x inches wide around the three sides of the photo. on the fourth side the frame forms a border that is 3x - 0.5 in. wide. the combined area of the photograph and the frame is 80.5 in^2. write a quadratic equation for the combined area. Then use the quadratic equation formula to find x
Answer:
1. The quadratic equation is 3x² +17.5x - 58.5 = 0
2. The values of x are 2.38 and -8.21, but we only take 2.38 for our problem.
3. The dimensions of the combined area are approximately 6.38 inches and 12.64 inches.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Photograph dimensions = 4 inches * 6 inches
Frame dimensions = x inches * 3x - 0.5 inches
Area of the combined area of the photograph and the frame = 80.5 inches²
2. Write a quadratic equation for the combined area. Then use the quadratic equation formula to find x.
One side of the combined area of the photograph and the frame = 4 + x inches
Second side of the combined area of the photograph and the frame = 6 + 3x - 0.5 inches
Now, we can write the quadratic equation this way:
Combined area of the photograph and the frame = One side * Second side, replacing with the values we know:
80.5 = (4 + x) * (6 + 3x - 0.5)
80.5 = (4 + x) * (5.5 + 3x)
80.5 = 22 + 5.5x + 12x + 3x²
3x² +17.5x - 58.5 = 0
Using the quadratic formula, where, a = 3, b = 17.5 and c = - 58.5, we have:
x = (-b +/- √b² - 4ac)/2a
x = (-17.5 +/- √17.5² - 4 * 3 * -58.5) 2 * 3
x = (-17.5 +/- √306.25 + 702)/6
x = (-17.5 +/- √1,008.25)/6
x = (-17.5 +/- 31.75)/6
x₁ = 14.25/6 = 2.38
x₂ = -49.25/6 = -8.21
We took the value of x₁ because x₂ is negative and we can't have a negative value for the length or the width, therefore:
80.5 = (4 + x) * (5.5 + 3x)
Replacing x, we have:
80.5 = (4 + 2.38) * (5.5 + 3 * 2.38)
80.5 = 6.38 * 12.64
80.5 ≅ 6.38 * 12.64
What is the value of the expression 3/8 -1/4
Your Answer Is: 0.125
The value of the expression 3/8 - 1/4 is 1/8.
To find this, you must first find a common denominator, which in this case is 8. Multiply 1/4 by 2/2 to get 2/8. Now, you are able to subtract the fractions to find your answer. 3/8 - 2/8 = 1/8. Thus meaning, 1/8 is your answer.
I hope this helps!
-2 (3 x - 9 ) + 5x = 10
Answer: × = 8
Step-by-step explanation:
-2 (3 x - 9 ) + 5x = 10
Step 1: Open the bracket
-6× + 18 + 5x = 10
Step 2: Combine like terms
-6× + 5× = 10 -18
-1× = -8
×= -8/-1
×=8
Answer:
x=8
Step-by-step explanation:
Help with this and I’ll mark you as brainliest ❤️
Answer:
The answer is C
Step-by-step explanation:
Because 1 is 90 because it shaped like a L 2 is 45 because its narow, and 3 is the smallest of them all. I also did it before
???????????????????????????/
Answer:
B. 5 × 5 × 8
Step-by-step explanation:
Each of the boards have an area of 25. You have 8 of them.
Answer:
b. 5 × 5 × 8
Step-by-step explanation:
"...the total area is five feet × five feet times eight"
Equation:
(5 × 5) × 8
Simply remove brackets:
5 × 5 × 8