Answer: [tex]k^4+10k^3+21k^2[/tex]
Step-by-step explanation:
Given
Height of rectangle is [tex]h=k^2+3k[/tex]
Width is [tex]w=k^2+7k[/tex]
The area of the rectangle is given by the multiplication of the height and width
[tex]\Rightarrow A=\left(k^2+3k\right)\left(k^2+7k\right)\\\\\Rightarrow A=k^2k^2+k^2\cdot \:7k+3kk^2+3k\cdot \:7k\\\\\Rightarrow A=k^4+10k^3+21k^2[/tex]
Thus, the area of the rectangle is [tex]k^4+10k^3+21k^2[/tex].
If the zeros of a quadratic function are 3 and 8, what are the factors of the function?
A.
(x + 8) and (x − 3)
B.
(x − 8) and (x + 3)
C.
(x + 8) and (x + 3)
D.
(x − 8) and (x − 3)
Answer:
D
Step-by-step explanation:
one way to write a quadratic equation is using the y = (x-s) (x-r) where r and s are positive zeros. another way to solve this and think about it would be to plug in your points and equate both sides.
example:(3,0) (8,0)0 = (3-8) (3-3)0 = 00 = (8-8) (8-3)0=0
A parallelogram has a base of 16 centimeters and a height of 4 centimeters
What is the area of the parallelogram?
A) 128 cm²
B) 16 cm²
C) 64 cm²
D) 32 cm²
Answer:
Area = 64 cm²
Step-by-step explanation:
The area of a parallelogram is found by using the formula A = b x h
Where A is the area, b is the base and h is the height
A = 16 x 4
A = 64
What is the answer for this ?
Answer:
44°
Step-by-step explanation:
180 - 136
look at the picture it has what i need help with
There's a trick to solve these graph questions
Solve the given quadratic equations in the options , the points which match with the changed graph will be the final option
if you solve the first option F(x) = x2-2
you'll get x = +2 and -2
as you can see , the Fx graph cuts the x axis at +2 and -2 and thus option A is correct
thankyou
As a fundraiser, the Music Boosters wrapped gifts at the mall one weekend. Out of the 100 gifts they wrapped, 3/10 were for weddings, and 37/100 were for baby showers. The rest of the gifts were for birthdays. What fraction of the gifts was for birthdays? Enter your answer in the boxes.
Answer: The fraction of the gifts were for birthdays = [tex]\dfrac{33}{100}[/tex].
Step-by-step explanation:
Given: fraction of gifts for weddings = [tex]\dfrac{3}{10}[/tex]
fraction of gifts for baby showers = [tex]\dfrac{37}{100}[/tex]
Rest of the gifts = [tex]1-\dfrac3{10}-\dfrac{37}{100}[/tex]
[tex]=\dfrac{100-30-37}{100}\ \ \ [\text{Making like fractions}]\\\\=\dfrac{100-67}{100}\\\\=\dfrac{33}{100}[/tex]
Hence, the fraction of the gifts were for birthdays = [tex]\dfrac{33}{100}[/tex].
Find the area of the given trapezoid:
A = ...... square units
Answer:
A = 48 square units
Step-by-step explanation:
The dimensions between two markings on the coordinate plane = 2 unit
The trapezoid is located sideways
The area of a trapezoid, A = ((a + b)/2) × h
Where;
a = The long base side
b = The short base side
h = The height
The long base side length AT = 4 space between markings = 4 × 2 units = 8 units
The short base side length SR = 2 space between markings = 2 × 2 units = 4 units
The height, h = 4 space between markings = 4 × 2 units = 8 units
The area of the trapezoid, A = ((4 unit + 8 unit)/2) × 8 unit = 48 square units.
it takes 1/3 cup of water to fill 3/4 of a container how much water in cups will the full container hold?
Answer:volume of container: v. Then (2/3)v=(1/2) cup. Solving for v,
1/2 cup 1 cup 3
v = -------------- = --------- * -------- = 3/4 cup (answer)
2/3 2 2
Step-by-step explanation:
What is the area of this shape
A.178 in
B.269 in
C.262 in
D.48 in
Answer:
262 in² is the answer
Step-by-step explanation:
12 ×6 + 16×7+13×6 = 262
Answer:
269 in.^2
Step-by-step explanation:
area of the shape = (12*6) + (4*7) + (6*13) + (7*16)
=72 + 28 + 78 + 91
=269 in^2
Find mZB.
Round to the nearest degree.
11
B В
7.
15
Answer:
m∠B = 111º
Step-by-step explanation:
use law of cosines
c² = a² + b² - 2ab*cosC
---------------------------------
15² = 7² + 11² - 2(7)(11)cosB
225 = 49 + 121 - 154cosB
225 = 170 - 154cosB
Subtract 170 form both sides
55 = -154cosB
Divide both sides by -154
-0.3571428571 = cosB
m∠B = arccos -0.3571428571
use calculator
m∠B = 110.924832425009406
Rounded
m∠B = 111º
pleaseeee helpppp meee!!
Answer:
15 players on each team
Step-by-step explanation:
- 2 players from EACH team is subtracted= 2(players)x6(teams) = 12 players in total off the field
- now there are only 78 players on the field
(78+12)/6= 15
-Adding the amount of players on the feild and the players that were sent for equitment is 90. Then dividing 90 by the amount of teams there are, 6
The body moves with the speed v=5t^2-2t+2. What is its speed at the moment when the acceleration is zero?
Answer:
1.8m/s
Step-by-step explanation:
Given:
speed;
v = 5t² - 2t + 2 ---------------(i)
(i) First, find the acceleration a by differentiating the speed equation in equation (i) with respect to t as follows;
a = [tex]\frac{dv}{dt}[/tex]
a = [tex]\frac{d}{dt} [5t^2 - 2t + 2][/tex]
a = 10t - 2 ---------------------(ii)
(ii) Next, find the moment (time) when the acceleration is zero. This is done by substituting a = 0 into equation(ii) as follows;
0 = 10t - 2
Solve for t
10t = 2
t = 2 / 10 = 0.2
Therefore, at t = 0.2s, the acceleration is zero.
(iii) Now, find the velocity at time t = 0.2s when the acceleration is zero. This is done by substituting the value of t = 0.2s into equation (i) as follows;
v = 5(0.2)² - 2(0.2) + 2
v = 0.2 - 0.4 + 2
v = 1.8
Therefore, the speed at the moment when acceleration is zero is 1.8m/s
NB: Since the units of measurement are not given, the S.I units are used. Hence m/s for speed.
help! is due today please
Answer:
Option 2
Step-by-step explanation:
Minimum value is going to be in the y part of our coordinate, so we can just look there. I went ahead and used a graphing calculator to make things easy.
Starting off with option 2, we can see the minimum is -10. And in option 4 we can see the smallest y value is -6.
Using a graphing calculator (I used desmos), we can graph these other functions and figure out their minimums.
Option 1's y minimum is -7, and Option 3's y minimum is -2.25.
Option 1: -7
Option 2: -10
Option 3: -2.25
Option 4: -6
The questions asks for the smallest minimum value, which in this case is option 2.
Your school has raised $3,920 from this year's magazine drive. Your grade is planning a field trip. One bus costs $700 and one ticket costs $70. Write an equation to find out how many tickets you can buy if you take only one bus.
Answer:
Number of tickets= 46
Step-by-step explanation:
Giving the following information:
Your school has raised $3,920 from this year's magazine drive. Your grade is planning a field trip. One bus costs $700 and one ticket costs $70.
First, we need to calculate the amount left after the bus is paid:
Money for tickets= 3,920 - 700
Money for tickets= $3,220
Now, the number of tickets that can be bought:
Number of tickets= 3,220 / 70
Number of tickets= 46
Determine the coordinates of the midpoint M of segment AB when A(-4,4) and B(5,-1). Leave your answer in fraction form.
Answer:
(0.5, 1.5)
Step-by-step explanation:
(x1 + x2 /2, y1 + y2/2)
(-4 + 5 / 2, 4 - 1/2)
(1/2, 3/2)
The Taylor family order a 95-inch turkey and cheese sub from the local deli. They also buy 7 gallons of lemonade. About how many feet long is the turkey and the cheese sub?
Given: Here given that the Taylor family order 95 inches of turkey and cheese sub from the local deli.
To find: Here we need to find how many foot long is the turkey and cheese sub.
Solution: We know, 1 inches=0.0833 foot
So, 95 inches=7.9135 foot approximately.
Therefore, 7.9135 foot approximately long is the turkey and cheese sub.
what is lighter than a feather but the strongest man can't hold for 5 minutes
Answer:
obviously our breathe is lighter than a feather but the strongest man can't hold for 5 minutes.
Answer:
breathe
Step-by-step explanation:
breathe. air is light but even the strongest man can't hold for 5 minutes
DISCLAIMER: THERE ARE MANY QUESTIONS LIKE THIS ONE, SO MAKE SURE THAT YOU ARE ANSWERING THIS SPECIFIC QUESTION.
Which of the followinmg estimates at a 95% confidence level most likely comes from a small sample?
A. 71% (±18%)
B. 60% (±4%)
C. 62% (±6%)
D.65% (±2%)
Answer:
A. 71% (±18%)
Step-by-step explanation:
Based on the confidence interval relation :
Mean ± Margin of error
The mean could be any given value :
However, the margin of error at a given confis nce level will will affected by the sample size, larger sample sizes will result in smaller margin of error values as the it will result in a large value denominator hence giving a small margin if error value when divided.
Margin of Error = Zcritical * σ/√n
Since.weve been told that the sample size is small, this will result in a large error margin value, from the options given, the value with the largest error margin value will be produced by the smallest samole size. Hence the option with the largest error margin value is ; ±18%
ILL BRAINLIEST YOU IF YOU HELP ME PLEASE
option C is correct
b and c are parallel lines because they both are making equal angles at the point of intersection with line d
Answer:
the answer is c. because
95 plus 85 is equal to 180 mean its straight line
Step-by-step explanation:
I will give BRAINLIEST to the correct answer
Find the measure of angle 6.
Answer:
85°
Step-by-step explanation:
the two lines that have red arrows on them are parallel and are cut by a transversal so angle 6 and the 95° angle are same side interior angles so they are supplementary angles so they need to add to 180°
∡ 6 = 180-95 = 85°
fill in the blanks, solve x2+6x +y2- 4y = 23
Answer:
Step-by-step explanation:
See completed figure attached.
Note that some blanks are missing colours from the question.
What is the exact value of tan(pi/4)?
1
The exact value of tan(π4) tan ( π 4 ) is 1 .
Need help ASAP
You don’t need to explain, pls respond as fast as possible. Thank you
Answer:
One is 8x+12y= 112
Step-by-step explanation:
I don't know if it's right tho. SO don't come at me.
Please help i'm struggling with this!It's urgent!
Answer:
Step-by-step explanation:
Its the 3rd one
i need help with geometry
Answer:
[tex] \frac{AQ + 15}{AQ} = \frac{10 + 6}{6 } \\ 6AQ + 90 = 10AQ + 6AQ \\ 10AQ = 90 \\ AQ = 9[/tex]
Answer:
AQ = 9
Step-by-step explanation:
Given a line parallel to the side of a triangle and intersecting the other 2 sides then it divides those sides proportionally , that is
[tex]\frac{6}{10}[/tex] = [tex]\frac{AQ}{15}[/tex] ( cross- multiply )
10 AQ = 90 ( divide both sides by 10 )
AQ = 9
Which expression is equivalent to (y2 + 3y – 8)+(2y? –y–9)?
A. 3y4 + 4y2 – 17
B. 3y4 +2y2 – 17
C. 3y2 + 4y - 17
D. 3y² +2y-17
Answer:
The answer is 42 have a great day.
Step-by-step explanation:
write an equation for each function notation. then complete the table
Answer:
30. Y= ×(-3)+4
Step-by-step explanation:
-2(-3)=6+4=10
therefore 1(-3)+4
=1
2(-3)=-6
-6+4=-2
True or False: in a table of a proportional relationship, the ratio or y/x is constant.
Answer:
true
Step-by-step explanation:
It is True that in a table of a proportional relationship, the ratio or y/x is constant.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that, y∝x
In order to eradicate the proportional sign introduces the constant as,
y=kx
k=y/x
k is the constant value.
Thus, it is True that in a table of a proportional relationship, the ratio or y/x is constant.
Learn more about the proportional here:
brainly.com/question/14263719
#SPJ2
graph the line y=-1/6+1 , I need help tho :/
Answer:
Step-by-step explanation:
十
139°
x° find the value of x.
Answer:
x = 139
Step-by-step explanation:
The angles are alternate exterior angles , and when the lines are parallel, alternate exterior angles are equal
x = 139
WORTH 25 POINTS!!!!
match the following
Answer:
Step-by-step explanation:
Domain of a function is defined by the set of x-values (input values) and Range is the set of y-values (output values) of the function.
1). The range and domain of P = {(x, y)| y = 3}
Domain: Set of all real numbers
Range: {y: y=3}
2). The domain set of C = {(2, 5), (2, 6), (2, 7)}
Domain: {2}
3). The range set of E = {(3, 3), (4, 4), (5, 5), (6, 6)}
Range: {3, 4, 5, 6}
4). The range and domain set of F = {(x, y)| x + y = 10}
Domain = Range = {All real numbers}
