Answer:
10
Step-by-step explanation:
please help with this!
Total of all frequencies:
5+8+1213+11= 49
Divide the frequency of 59-61 by total frequencies:
13/49 = 0.265 which rounds to 0.27
The answer is 0.27
A bank pays you 4% on the money you deposit into an account in a given amount of time. What does the 4% represent?
Answer:
Interest rate
Step-by-step explanation:
Exercises 18-20: In each of these problems, an
equation and one of its roots are given. Find:
a the value of k
b the second root
18.5 is a root of x^2- 7x + k = 0
19. 5 is the root of x^2-3x+k=0
20.7 is the root of x^2-3x= -k
Please help! It’s three questions
Answer:
(18) a. The value of k is 10.
b. The second root is 2.
(19) a. The value of k is -10.
b. The second root is -2.
(20) a. The value of k is -28.
b. The second root is -4.
Step-by-step explanation
18. One of the roots is 5, :. x = 5
Substitute x = 5 into the quadratic equation to obtain the value of k.
x² - 7x + k = 0
5² - 7(5) + k = 0
25 - 35 + k = 0
-10 + k = 0
k = 0 + 10 = 10
Factorise the quadratic equation to obtain the value of the second root.
x² - 7x + 10 = 0
x² - 5x - 2x + 10 = 0
(x² - 5x) - (2x + 10) = 0
x(x - 5) -2(x - 5) = 0
(x - 5)(x - 2) = 0
x = 5 or 2
The second root is 2.
19. One of the roots is 5, :. x = 5
Substitute x = 5 into the quadratic equation to obtain the value of k.
x² - 3x + k = 0
5² - 3(5) + k = 0
25 - 15 + k = 0
10 + k = 0
k = 0 - 10 = -10
Factorise the quadratic equation to obtain the value of the second root.
x² - 3x + (-10) = 0
x² - 3x - 10 = 0
x² - 5x + 2x - 10 = 0
(x² - 5x) + (2x - 10) = 0
x(x - 5) +2(x - 5) = 0
(x - 5)(x + 2) = 0
x = 5 or -2
The second root is -2.
20. One of the roots is 7, :. x = 7
Substitute the value of x into the quadratic equation to obtain the value of k.
x² - 3x = -k
7² - 3(7) = -k
49 - 21 = -k
28 = -k
k = -28
Factorise the quadratic equation to obtain the value of the second root.
x² - 3x = -k
x² - 3x = 28
x² - 3x - 28 = 0
x² - 7x + 4x - 28 = 0
(x² - 7x) + (4x - 28) = 0
x(x - 7) +4(x - 7) = 0
(x - 7)(x + 4) = 0
x = 7 or -4
The second root is -4.
(brainliest) PLEASE HELP DUE RN!
Answer:
y = x²+ 5
Step-by-step explanation:
When your line is curved, you know that is will be an x² and the slope intercept is 5 so that's what goes at the end and its a postitive5 as well.
One number is six more than another number. The sum of their squares is 90.
The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the perimeter is 15 in. How long is the third side?
If s represents the length of the second side, which of the following represents the length of the third side?
Answer:
[tex]\boxed{\frac{23}{3} ~in}[/tex] or [tex]\boxed{7,7~in}[/tex]
.
Step-by-step explanation:
Suppose, the first side is a, the second side is b, and the third side is c. So:
→ a = s - 4
→ b = s
→ c = (s - 4) + 3
→ a + b + c = 15
First step, find the value of s
a + b + c = 15
(s - 4) + s + (s - 4) + 3 = 15
3s - 5 = 15
3s = 15 + 5
3s = 20
[tex]s = \frac{20}{3}[/tex]
So, the third side is
c = (s - 3) + 4
c = s + 1
c = [tex]\frac{20}{3} + 1[/tex]
[tex]c = \frac{23}{3}[/tex]
.
Happy to help :)
Answer:
the answers is 7,7 in
Step-by-step explanation:
hope this help
The square has sides of length 3 cm and the arcs
have centres at the corners. Find the shaded area.
Answer:
Shaded area= 5.14 cm² (3 s.f.)
Step-by-step explanation:
Please see the attached picture for the full solution.
The amount in dollars an electrician charges in terms of the number of hours worked is represented by the function y = 22x + 42.
From the function, identify all the phrases that hold true for the situation.
Answer:
Only two are correct;
a) The electrician charges an initial fee of $42
b) The electrician charges $22 for every hour worked
Step-by-step explanation:
Here, we want to select all possible correct options;
Kindly understand that the equation of a straight line can be represented in the form;
y = mx + c
where m is the slope and c is the y-intercept (where x = 0)
1. The electrician charges an initial fee of $22
This is wrong. $22 represents the slope and it indicates a rate of change and not an initial fee
2. The y-variable represents the number of hours
This is wrong. What the y-variable represents is the amount charged in US dollars
3. The electrician charges an initial fee of $42
This is correct. The y-intercept value is the value when x is zero
4. The electrician charges $22 for every hour worked
This is correct. From the equation, 22 represents the change which is the slope
It is the amount charged per hour
5. The x-variable represents the electrician’s charges in dollars
This is wrong. As we can see from the question, the x-variable represents the number of hours
6. The electrician charges $42 for every hour worked
This is wrong. What $42 represents is the charge at 0 hour which means the charge at x = 0
-3.2.a+5(-7b)+(12.c.4) in standard form
Answer:− 3.2 a − 35 b + 12 c − 4
Step-by-step explanation:
Jewel brought home four gallons of milk. How many quarts is four gallons?
Answer:
16
Step-by-step explanation:
there are four gallons
1=4 quartz
so u multiply
4 x 4 = 16
4=16
a = 5 b= 3 Round to nearest tenth.
Given 2 points how would you write an algebraic representation
Answer:
Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Evaluate if B = 3 and p = 2
10B - 4P plus 1 = ?
all you need is in the photo
please answer fast
Answer:
C. 3 workbooks and 5 dry erase boards
Total is $46. The rest exceed her budget.
find the volume of a cone with a diamiter of 12 meters and a hight of 7 meters
Answer:
so following the formula it`s V= 3,14 x 6² x 7:3= 791,28 : 3= 263,76
12:2=6 (radius)
Step-by-step explanation:
It is actualy 84 n m3, so yeah, I don't wanna explain it, but have good luck, and god bless, and sorry if I'm too late
At a bakery, two workers earn the same amount of money in one afternoon, working the same number of hours. Rheehan is a manager and makes $16 an hour. He also receives $4 in tips. John makes $11 an hour and receives $29 in tips. How many hours did each worker work at the bakery that afternoon?
Answer:
5 hours
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Property
Step-by-step explanation:
Step 1: Set up Equations
h is the amount of hours. Both workers make the same amount of money (l).
Rheehan: l = 16h + 4
John: l = 11h + 29
16h + 4 = 11h + 29
Step 2: Solve for h
Subtract 11h on both sides: 5h + 4 = 29Subtract 4 on both sides: 5h = 25Divide 5 on both sides: h = 5what is the slope of the line that includes points (36,-30) and (39,27)
Answer:
The slope of the line is 19
Step-by-step explanation:
slope=(y2-y1)/(x2-x1)=(27-(-30))/(39-36)=57/3=19
Therefore, the slope of the line is 19
Solve: -x+3>\:2x+1
Show your work
:)
Answer:
X=7/6
Step-by-step explanation:
2x=3-x+1/2
3x=3+1/2
3x=7/2
X=7/2*1/3
Please help me asap!!!
Step-by-step explanation:
Angle y measures 90 degrees.
Real quick please. At a carnival it costs $6.54 for 3 tickets. Write an equation that can be used to express the relationship between the total cost (t) and the number of tickets(n) you buy.
Answer:
t=2.18n
Step-by-step explanation:
Total cost is 6.54 for 3 tickets so divide 6.54 by 3 and you get price per ticket which is 2.18. Multiply that by how many tickets you want and you get your final price.
You plant flowers in your garden and only 75% of them sprout how many can you predict to sprout if you plant 20 seeds?
Kim and Jay live at the same time to travel 25 Miles to the beach can drive 9 miles in 2012 minutes G raft drive 10 miles in 15 minutes if they both continue with the same lady who will arrive at the beach first
Complete question :
kim and jay leave at the same time to travel 25 miles to the beach. kim drives 9 miles in 12 minutes. jay drives 10 miles in 15 minutes if they both continue at the same rate, who will arrive at the beach first?
Answer:
KIM
Step-by-step explanation:
Given that:
Distance traveled = 25 miles
Kim :
9 miles in 12 minutes
Rate = distance / time
Rate = 9 / 12 = 0.75 miles per minute
Jay:
10 miles in 15 minutes
Rate = distance / time
Rate = 10 / 15 = 0.667 miles per minute
Since Kim's rate is higher than Jay's rate, Kim will arrive at the beach faster than Jay.
0.75 > 0.667
Kim will arrive first
If-1 is a root of f), which of the following must be true?
O A factor of fx) is (x- 1).
O A factor of f(x) is (x + 1).
O Both (x- 1) and (x + 1) are factors of f(x).
Neither (x- 1) nor (x + 1) is a factor of f(x).
Answer:
A factor of f(x) is (x + 1).
Step-by-step explanation:
When we put x+1= 0 then we get the value x= -1
This value is then put into the function to find out whether it is a root or not. For a root to exist it must not have a remainder or the remainder must be zero.
Suppose the function is
F(x)= 2x³ - 42x - 40
f(-1)= 2(-1)³ - 42(-1) - 40
f(-1)= -2 + 42- 40
f(-1)= 0
This gives -1 as the root of the function.
What are the roots of the equation 4x2 + 55 = -28x in simplest a + bi form?
Answer:
0?
Step-by-step explanation:
i looked it up.
Answer: -7/2 +- (Squareroot)6i/2
Stuart planted a shrub that was 64 centimeters tall. He measured the shrub regularly and found that it grew 1.8 centimeters each week. How many weeks after Stuart planted the shrub was its height 76.6 centimeters?
Answer:
C. 7 weeks.
Step-by-step explanation:
Since the shrub was 64 cm tall at first, take away 64 from 76.6. Now we are left with 12.6. Let's divide 12.6 by 1.8 (that's how many cm it grows per week). When we do this, we are left with 7. This means it took 7 weeks for the shrub to reach 76.6 cm. I hope this helps!
The graph of this system of equations is which of the following?
2x + y = 6
6x + 3y = 12
Overlapping lines
Parallel lines
Intersecting lines
A curve intersecting with a line
Answer:
From what I found, the answer is parallel
Step-by-step explanation:
not much of an explanation haha
The graph of the system of equations, 2x + y = 6 and 6x + 3y = 12 is: C. Intersecting lines
Note:
2x + y = 6 and 6x + 3y = 12 are two linear equations. Linear equations are straight lines.Graphed system of equations are always intersecting straight lines.Given that 2x + y = 6 and 6x + 3y = 12 is a system of equations, when both equations are graphed, it will give us two intersecting lines.
The coordinate of the point of intersection is the solution to the system of equations.
Therefore, the graph of the system of equations, 2x + y = 6 and 6x + 3y = 12 is: C. Intersecting lines
Learn more about system of equations on:
https://brainly.com/question/14323743
Look at this formula showing the relationship between temperature degrees Celsius and temperature in degrees Fahrenheit C = 5/9 * (P - 32) Which of these equations represents the given formula written in terms of H = 9/5 * (C + 32) H = 9/5 * (C - 32) P = 9/5 * C + 32 F = 9/5 * C = 32
Answer:
The equation which represents the given formula written in terms of P is
P = 9/5 * C + 32
Step-by-step explanation:
Seems the question is: Which of these equations represents the given formula written in terms of P. If so, we will make P the subject of the given formula.
C = 5/9 * (P - 32)
This can be written as
[tex]C = \frac{5}{9} \times (P-32)[/tex]
Multiplying both sides by 9, we get
[tex]9 \times C = 9 \times \frac{5}{9} \times (P-32)[/tex]
[tex]9C = 5 \times (P - 32)\\[/tex]
Now, divide both sides by 5, we get
[tex]\frac{9C}{5} = \frac{5 \times (P - 32)}{5}[/tex]
This gives
[tex]\frac{9}{5} \times C = P - 32[/tex]
Now, Add 32 to both sides of the equation
[tex]\frac{9}{5} \times C + 32 = P - 32 + 32[/tex]
This becomes
[tex]\frac{9}{5} \times C + 32 = P[/tex]
Hence
[tex]P = \frac{9}{5} \times C + 32[/tex]
That is, P = 9/5 * C + 32
Hence, the equation which represents the given formula written in terms of P is P = 9/5 * C + 32.
When x is 0, find what y is equal to?
x + y = 30
Answer: 30
Step-by-step explanation: Make x 0 and set up the equation 0+y=30. Subtract 0 from both sides and then 30-0 equals 30 so y = 30
Use the coordinates J(7, 8), K(1, 2) and L(5, 2) for △JKL.
The centroid for △JKL is at point M. What is JM rounded to the nearest tenth?
Group of answer choices
4.3
4.8
7.2
2.4
Answer:
The answer is the second option 4.8
Step-by-step explanation:
I just did the test.
The distance between the point JM will be; 4.81 units.
What is the centroid of the triangle?The centroid of a planar figure or firm figure, also known as the point of intersection or center of the figure, is the mean absolute position of all of the other points on the subject's surface.
The centroid of the triangle is given by;
(x, y) = [(x₁ + x₂ + x₃) / 3, (y₁ + y₂ + y₃) / 3]
Given that the coordinates J(7, 8), K(1, 2) and L(5, 2) for △JKL. Then the centroid for △JKL is at point M is given;
(x, y) = [(7 + 1 + 5) / 3, (8 + 2 + 2) / 3]
(x, y) = (13/3, 12/3)
(x, y) = (13/3, 4)
Therefore, the distance between the point JM is calculated as given;
D² = (13/3 - 7)² + (4 - 8)²
D² = 7.1111 + 16
D² = 23.11
D = √23.11
D = 4.81 units
The distance between the point JM will be; 4.81 units.
More about the centroid of the triangle link is given below.
brainly.com/question/10708357
#SPJ2
A cat is stuck on the roof if the ladder is 18 ft long and must be placed 9 feet away from the building how high can the ladder reach up the building to help save the cat.
Answer:
20.1
Step-by-step explanation:
a^2+b^2=c^2
18^2+9^2=c^2
324+81=405
c^2 = crosses itself out
the square root of 405 is 20.1
