Find the dimensions of the rectangle if the length is (x+8), the width is (x+3) and the area is 234ft^2
The dimension of the rectangle 18 feet by 13feet
How to calculate the area of a rectangleA rectangle is a 2 dimensional shape having two sides.
Area of a rectangle = length * width
Given the following parameters
Length = x + 8
Width = x + 3
Area = 234ft^2
Substitute the given parameters into the formula
(x+8)(x+3) = 234
x² + 3x + 8x + 24 = 234
x² + 11x = 234 - 24
x² + 11x = 210
x² + 11x - 210 = 0
Factorize
x² + 21x - 10x - 210 = 0
x(x+21) - 10(x+21) = 0
x - 10 = 0
X = 10
Leength = x + 8
Length = 18 feet
Width = x + 3
Width = 3 + 10
Width = 13feet
Hence the dimension of the rectangle 18 feet by 13feet
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In a kickball game, a ball is kicked and travels along a parabolic path. The height h, in feet, of the kickball t seconds after the kick can be modeled by the equation h(t) = −16 t2 + 24t .
a. A fielder runs a route that will allow him to catch the kickball at about 3 ft above the ground. Write an equation that can be used to find when the fielder will catch the ball.
b. Use graphing technology to find out how long the kickball has been in the air when the fielder catches it on its descent. Round to the nearest hundredth.
The equation h(t) = -16t² + 24t is an illustration of a quadratic model
The equation when the fielder catches the ball is -16t² + 24t = 3The fielder will catch the ball after 0.14 seconds or 1.36 secondsThe equation when the fielder catches the ballThe equation that represents the path of the kick ball is given as
h(t) = -16t² + 24t
The fielder catches the ball at a height of 3 ft above the ground.
This means that:
h(t) = 3
So, we have:
-16t² + 24t = 3
Hence, the equation when the fielder catches the ball is -16t² + 24t = 3
How long the ball has been in the air whenIn (a), we have:
-16t² + 24t = 3
Rewrite as:
-16t² + 24t - 3 = 0
Next, we determine the solutions of -16t² + 24t - 3 = 0 using a graphing technology
From the graph (see attachment), we have the following solutions
t = 0.14 and t = 1.36
Hence, the fielder will catch the ball after 0.14 seconds or 1.36 seconds
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I really need help with this
The relationship between the size of the drink and the price of the drink is positive and upward sloping.
What is a graph?
A graph is used to represent data in a pictoral format. On the graph, there is the x-axis and the y-axis. exhibits a positive relationship if the graph is upward sloping. The variables exhibits a negative relationship if the graph is downard sloping.
Please find attached the image of the graph.To learn more about graphs, please check: https://brainly.com/question/21527145
d varies inversely as c and the constant of variation is 4 which equation represents the relationshiop
Answer:
d = 4/c.
Step-by-step explanation:
Inverse variation is : d = k/c where k is a constant.
Here k = 4.
Find the maximum height of the equation -16x^2+64x+86=0
Answer:
max = 150
Step-by-step explanation:
the maximum height is the value of the y- coordinate of the vertex.
given a quadratic equation in standard form : y = ax² + bx + c = 0 ( a ≠ 0 )
then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
- 16x² + 64x + 86 = 0 ← is in standard form
with a = - 16 and b = 64 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{64}{-32}[/tex] = 2
substitute x = 2 into the quadratic for corresponding y- coordinate
- 16(2)² + 64(2) + 86 = - 16(4) + 128 + 86 = - 64 + 128 + 86 = 150
vertex = (2, 150 )
then maximum height is 150 units
i can do math but you give me a math proble
Answer:
3+3? bet u can’t do that ;-;
Step-by-step explanation:
Write an equation in point-slope form for the graph shown below?
Answer:
y-4=-2/5(x+5)
Step-by-step explanation:
Points slip form is y-y₁=m(x-x₁)
Since you have a graph we can see the line goes down 2 and over 5. Since the slope is going downwards it is a negative slope. This mean m=-2/5. Then pick any point on the line ( I chose (-5,4)) and plug it in for y₁ and x₁.
Enter a range of values for x.
14
62
2x+10
15
20
Answer:
-5
Step-by-step explanation:
The range of values for x is {2, 26, 2.5, 5} in the given case where we have to enter values.
To provide a range of values for x based on the given information, we need to solve the equation 2x+10 = 14, 62, 15, and 20.
Let's solve the equation for each given value: 1. 2x+10 = 14:
Subtract 10 from both sides of the equation: 2x = 4
Divide both sides of the equation by 2: x = 2 2. 2x+10 = 62:
Subtract 10 from both sides of the equation: 2x = 52
Divide both sides of the equation by 2: x = 26 3. 2x+10 = 15:
Subtract 10 from both sides of the equation: 2x = 5
Divide both sides of the equation by 2: x = 2.5 4. 2x+10 = 20:
Subtract 10 from both sides of the equation: 2x = 10
Divide both sides of the equation by 2: x = 5
Therefore, the range of values for x is {2, 26, 2.5, 5}.
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Let A = {10, 20, 30, 40, 50, 60} and B = {10, 40, 60}. What is An B? (1 point) 0 ( (10.40] 0 (40-60] O (10, 40, 60] O (10, 20, 30, 40, 50, 60]
Answer:
first step. 10+20+30+40+50+60=210
second step. 10+20+30+40+50+60 and 6=200.1
third step. 5+10+15+20+25+30+3+105+3=216
Step-by-step explanation:
hope this helps
convert the radians to degrees
[tex]\pi = 180[/tex]
[tex] \frac{17 \times 180}{12} = \frac{3060}{12} = 255[/tex]
y /3 − –7 = 10 solve for y
Answer:
9
Step-by-step explanation:
10+ -7
3
3 = 9/3
9
Polygon PQRST shown below is dilated with a scale factor of 3, keeping the origin as the center of dilation: Which statement about polygon PQRST and its image after dilation, polygon P’Q’R’S’T’, is correct? The lengths of side RQ and side R’Q’ are in the ratio 1:3. The length of diagonal RT is equal to the length of diagonal R’T’. The measures of angle S and angle S’ are in the ratio 1:3. The length of side PQ is equal to the length of side P’Q’.
A)
The lengths of side RQ and side R'Q' are in the ratio 1:3.
Explain a situation where the probability could be equally unlikely
Equally likely refers to two or more possible outcomes of a given situation that have the same probability or the same likelihood to occur. For example, if you throw a die, there are six possible outcomes. You could get 1, 2, 3, 4, 5, or 6. These outcomes are equally likely to occur.
Help me figure out the one on the bottom please!
Answer:
a = 7
Step-by-step explanation:
You have correctly found the perimeter of the figure to be (34a+12). To find the value of 'a', solve the equation that sets this equal to 250.
34a +12 = 250
34a = 238 . . . . . . . subtract 12
a = 238/34 = 7 . . . . . divide by the coefficient of 'a'
The value of "a" is 7.
✏Answer ✏
A=7
Step-by-step explanation:
# Brainliest Bunch
What’s The Answer Of This? Please Answer ASAP
Answer: 67 degrees
Step-by-step explanation:
The measures of KJ and LM are shown.
What is the m
Answer:
∠ MAJ = 50°
Step-by-step explanation:
the chord- chord angle KAJ is half the sum of the of the arcs intercepted by the angle and its vertical angle, that is
∠ KAJ = [tex]\frac{1}{2}[/tex] (KJ + LM ) = [tex]\frac{1}{2}[/tex] (190 + 70)° = [tex]\frac{1}{2}[/tex] × 260° = 130°
then
∠ MAJ and ∠ KAJ are adjacent angles and sum to 180° , so
∠ MAJ + 130° = 180° ( subtract 130° from both sides )
∠ MAJ = 50°
Answer:
50
Step-by-step explanation:
Find the Inverse - f(x) = 5x - 6
Answer:
f⁻¹(x) =
Step-by-step explanation:
Given function,
→ f(x) = 5x - 6
We are supposed to find ths inverse of the given function. Consider the function, y = f(x).
→ y = 5x - 6
Add 6 to both sides.
→ y + 6 = 5x - 6 + 6
Solve the equation.
→ y + 6 = 5x
Division both sides by 5.
→ y + 6/5 = 5x/5
Solve the equation.
→ (y + 6)/5 = x
Can be re-written as,
→ x = (y + 6)/5
Now, recall f(x) = y, this implies x = f⁻¹(y).
→ f⁻¹(y) = (y + 6)/5
So the final answer is:
→ f⁻¹(x) = (x + 6)/5
The value of a company’s stock is represented by the expression x2 – 2y and the company’s purchases are modeled by 2x + 5y. The company’s goal is to maintain a stock value of at least $5,000, while keeping the purchases below $1,000. Which system of inequalities represents this scenario?
A. x2 – 2y > 5000
2x + 5y < 1000
B. x2 – 2y > 5000
2x + 5y ≤ 1000
C. x2 – 2y ≥ 5000
2x + 5y < 1000
D. x2 – 2y ≤ 5000
2x + 5y ≤ 1000
The system of equations that represents the situation is given by:
C. x² – 2y ≥ 5000, 2x + 5y < 1000
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In tis problem, the company's stock is represented by the expression x² - 2y, and the goal is a stock value of at least $5,000, hence the first equation is given by:
x² – 2y ≥ 5000
The purchases are represented by 2x + 5y, and the goal is to keep it below $1,000, hence the second equation is given by:
2x + 5y < 1000
This means that option C is correct.
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Answer:
x2 – 2y ≥ 5000
2x + 5y < 1000
Step-by-step explanation:
I got it right on the test.
In order to conduct an experiment 5 subjects are randomly selected from a group of 40 subjects how many different groups of 5 subjects are possible
Answer:
This can be done using the choose function.
The number of combinations are given by:
(
n
k
)
=
n
!
k
!
(
n
−
k
)
!
where
n
is the total number of students and
k
is the number of students to be picked. So we have
n
=
20
and
k
=
5
:
(
20
5
)
=
20
!
5
!
(
20
−
5
)
!
=
20
!
5
!
15
!
Evaluate directly with a calculator:
20
!
5
!
15
!
=
15504
we can simplify this before calculation by hand:
20
!
5
!
15
!
=
20
×
19
×
...
×
2
×
1
5
×
4
×
3
×
2
×
1
×
(
15
×
...
×
1
)
=
(
20
×
...
×
16
)
(
15
×
...
×
1
)
(
5
×
...
×
1
)
(
15
×
...
×
1
)
=
(
20
×
...
×
16
)
15
×
...
×
1
(
5
×
...
×
1
)
15
×
...
×
1
=
(
20
×
19
×
18
×
17
×
16
)
(
5
×
4
×
3
×
2
×
1
)
Simplify the numbers matched up by color:
=
(
4
×
19
×
9
×
17
×
4
)
(
1
×
1
×
3
×
1
×
1
)
=
(
4
×
19
×
3
×
17
×
4
)
(
1
×
1
×
1
×
1
×
1
)
=
3
×
4
×
4
×
17
×
19
=
48
×
323
=
15504
Please answer this question for a lot of points to see if u do good.
9 - 3 divided by 1/3 + 1
I already know this answer just solve and see.
Answer:
Would the answer be 9?
Step-by-step explanation:
Use PEMDAS.
3/1/3=1
9-1-8
8+1=9
[tex]9 - 3 \div \frac{1}{3} + 1[/tex]
solution:you can follow the PEDMAS rule where,
P= Parenthesis
E= Exponents
D= Division
M= Multiplication
A= Addition
S= Subtraction
Let's solve:[tex]3 \div \frac{1}{3} = 1[/tex]
[tex]9 - 8 = 1[/tex]
[tex]8 + 1 = 9[/tex]
What is the remainder when (x4 36) is divided by (x2 – 8)?
Answer:
(x4 36) I didn't that is . or + so I solved it on +
Hope that what you looking for :)
Step-by-step explanation:
BY Using the long divison method, x⁴ + 36 is divided by x² - 8 is 100
Dividend = x⁴ + 36
Divisor = x² - 8
_____x²+8
x² - 8 | x⁴ + 36
| x⁴ - 8x²
-8x² + 36
8x² - 64
_100
The remainder is calculated as (36 - (-64)) = (36 + 64) = 100
Therefore, the remainder is 100
Lab tests of a new drug Indicate a 70% success rate in completely curing the targeted disease. The doctors at the lab created the random data in
the table using a representative simulation. The letter Estands for "effective," and N stands for "not effective."
EEEE NEEE EEEE EEEN NEEN
NEEE EENE NNNE NEEN EENE
NENE EEEE EEEE NNNE ENEE
NEEN ENEE EENN ENNE NEEE
ENEN EEEE EEEN NEEE EENN
EENE EEEN EEEE EENE EEEE
ENEE ENNN EENE EEEE EEEN
NEEE ENEE NEEE EEEE EEEE
NENN EENN NNNN EEEE EEEE
ENNN NENN NEEN ENEE EENE
would not be effective is
Answer:
Not effective: 31.5%
Effective: 68.5%
Step-by-step explanation:
200
First we need to figure out how many tests they did :)
20 x 10 = 200
Now lets divide to see the percentage of how effective and not effective it is :)
Not effective: 31.5%
63/200 = 0.315 x 100 = 31.5
Effective: 68.5%
137/200 = 0.685 x 100 = 68.5
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
Not effective: 31.5%
Effective: 68.5%
Step-by-step explanation:
The quotient of 7 and the difference of a number and 8
Answer:No paper necessary. The only 2 numbers that I can think of that would fit this premise would be 8 divided by 1 . The difference between the two numbers is 7.
Step-by-step explanation:
J & J’s Landscaping Co. makes about $320 a weekday, and ends up with weekly expenses of $1000. How much profit do they expect at the end of one week?
A.$1320
B.$2600
C.$-680
D.$600
Angle Terminology with Equations
DELTA MATH
Answer:
x = 13
Step-by-step explanation:
Vertical angles are always congruent (equal)
⇒ ∠A =∠B
⇒ (8x - 12) = (6x + 14)
⇒ 2x = 26
⇒ x = 13
Angle A and Angle B are vertical angles . If mAngle A = ( 8x - 12 )° and mAngle B = ( 6x + 14 )°, then find the value of x .
Given : -Angle A = ( 8x - 12 )°Angle B = ( 6x + 14 )°To Find : -We have to find the value of x
Concept : -Concept of this question belongs to vertical angles i.e. vertical angle are always equal .
So Starting Our Solution : -Angle A = Angle B 8x - 12 = 6x + 14 8x - 6x = 14 + 122x = 26x = 26/2x = 13[tex] \pink{\boxed {Therefore , \: value \: of \: x \: i s \: 13}}[/tex]
Verification : -We are verifying our answer by putting the value of x in given Angle A and Angle B ,
Angle A = Angle B( 8x - 12 )° = ( 6x + 14 )°[ 8 ( 13 ) - 12 ]° = [ 6 ( 13 ) + 14 ]°( 104 - 12 )° = ( 78 + 14 )°92° = 92°L.H.S = R.H.SHence, Verified .Therefore , our answer is correct .
#Keep LearningPlease help I will give
BRAINLY
5 STARS
and a THANKS
Answer:
b = 5c
Step-by-step explanation:
I think …, I’m confused with how it’s phrased
pre algebra! please please please help!
7. A farmer plans to build the small silo shown to store chicken feed. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed? 6 It 15 It
The circumference of the base of the silo that the farmer plans to build to store chicken feed is 28.8 ft.
What is a cone and a circle?
A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The volume of a cone is expressed as;
V = (1/3)πr²h
Where r is radius of the base, h is the height of the cone and π is constant pi ( π = 3.14 )
A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The circumference of a circle is expressed mathematically as;
C = 2πr
Where r is radius and π is constant pi ( π = 3.14 )
Given the data in the question;
Volume of the cone ( silo ) V = 132ft³Height of the silo h = 6ftRadius r = ?We substitute our values into the expression above find the radius of the base of the silo.
V = (1/3)πr²h
132ft³ = (1/3) × 3.14 × r² × 6ft
132ft³ = 6.28ft × r²
r² = 132ft³ / 6.28ft
r² = 21.0191ft²
r = √21.0191ft²
r = 4.58ft
Now, since the radius of the base of the silo is 4.58ft, the circumference of the base will be;
C = 2πr
C = 2 × 3.14 × 4.58ft
C = 28.8ft
Therefore, the circumference of the base of the silo that the farmer plans to build to store chicken feed is 28.8 ft.
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If x−y=9 is a true equation, what would be the value of 5+x−y?
Help please
Answer:
14
Step-by-step explanation:
5+x-y (x-y=9) so -----> 5+9=14
Answer:
5+9 = 14
Step-by-step explanation:
x-y = 9, so 5+x-y would be equal to 5+9
5+9 is 14
hope this helps!
What is the equation of the line that passes through the point (-2,-8) and has a slope of 11?
Answer:
y = 11x +14
Step-by-step explanation:
The work:
[tex]y-y_{0} =m(x-x_{0} )[/tex]
[tex]x_{0} =-2\\y_{0} =-8\\m=11[/tex]
[tex]y-(-8)=11(x-(-2))[/tex]
[tex]y+8=11(x+2)[/tex]
[tex]y=11x+22-8[/tex]
The equation:
[tex]y=11x+14[/tex]
Hope this helps