Answer:
The ball will reach the ground when h=0.
Set the equation equal to 0.
[tex]0=-8(2 t-4)(t+1)[/tex]
[tex]t=-1,2[/tex]
Step-by-step explanation:
The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation
[tex]h=-8(2 t-4)(t+1)[/tex],
where h is the height in feet and t is time in seconds.
When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.
To find the time it takes for the ball to reach the ground, set the equation equal to 0 and use the Zero Product Property to solve for $t$.
[tex]h=-8(2 t-4)(t+1)[/tex]
[tex]\Rightarrow 0=-8(2 t-4)(t+1)[/tex]
Solve the equation using the Zero Product Property.
[tex]2t-4=0\Rightarrow t=\dfrac{4}{2}=2[/tex]
[tex]t+1=0\Rightarrow t=-1[/tex]
So, [tex]t=-1,2[/tex]
Help me please need help gonna fail sos
Answer:
235
Step-by-step explanation:
We have ED is 95.
We can find EC by 180-40 = 140
So DEC = 95+140=235
Answer:
236
Step-by-step explanation:
IV
What is the range of the function on the graph?
5
4+
3+
all real numbers
O all real numbers greater than or equal to 0
all real numbers greater than or equal to 1
all real numbers greater than or equal to 2
2+
1 +
-5 4 -3 -2 -11
1 2 3 4 5 X
h
-27
-37
I
-4
-5
Can someone please help me with this question
Answer:
54
Step-by-step explanation:
Based on the graph below, what is a reasonable estimate for the y value when x is -4?
Answer: i think the answer is 1.5
Step-by-step explanation:
The temperature at noon is -4 degrees Celsius. The temperature at 6:00 is -12 degrees Celsius. What is the difference between the noon and the 6:00 pm temperatures?
Answer:
-8 degrees
Step-by-step explanation:
12-4 is 8 so the difference is -8
Help please Name the quadrant or axis where each point lies.
Answer:
x-axis.3rd Quadrant4th Quadrant.2nd QuadrantEstimate the solution to the system of equations. You can use the interactive graph below to find the solution.
y=−x+2
y=3x−4
x=
y=
thank you!
Answer: x= 3/2 and y= 1/2
Step-by-step explanation:
Since both equations are equated to y, you just need to use substitution to create the equation below:
-x+2 = 3x-4
Solve the equation for x:
4x=6
x=6/4=3/2
Plug in x into any one of the given equations to find the value of y:
y=-x+2
y= - (3/2)+2
y= - (3/2)+4/2
y= 1/2
Hope this helps!
The solution to the system of equations will be x= 3/2 and y= 1/2.
What is a system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The given equations are y=−x+2 and y=3x−4 to calculate the values of x and y using the substitution method.
Since both equations are equated to y, you just need to use substitution to create the equation below:
-x+2 = 3x-4
Solve the equation for x:
4x =6
x =6/4=3/2
Plug x into any one of the given equations to find the value of y:
y =-x+2
Solve for the value of y.
y = - (3/2)+2
y = - (3/2)+4/2
y = 1/2
Hence, the solution for the equation will be x= 3/2 and y= 1/2.
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What is the simplified expression for 3 y squared minus 6 y z minus 7 + 4 y squared minus 4 y z + 2 minus y squared z? y squared minus y squared z minus 10 y z minus 5 y squared minus y squared z minus 5 y z minus 5 7 y squared minus y squared z minus 10 y z minus 5 7 y squared minus y squared z minus 2 y z minus 5
Answer:
Step-by-step explanation:
Are you asking to simplify: [tex]3y^2 - 6zy - (7+4y)^2- (4yz+2) -y^2 * z[/tex] ?
and [tex]y^2 - y^2 z - 10yz - 5y^2-y^2z - 5yz - 57y^2-y^2z-10yz-57y^2-y^z-2yz-5[/tex]?
Answer:
c
Step-by-step explanation:
At Paul Bunyan’s tree farm they sell Fraser firs and blue spruce trees. They plant saplings of these two kinds of trees that are 8 inches in 5 inches tall, respectively. The Fraser firs grow at a constant rate of 12 inches per year, and a blue spruce trees grow at a constant rate of 14 inches per year. After how many years will these trees be at the same height? Express your answer as a common fraction.
Answer: 3/2
Step-by-step explanation:
Hi, to answer this question we have to write the next expressions::
Height 1= 8 +12 y
Height 2 =5 +14y
Where y = number of years
Since both heights must be the same
Height 1 = height 2
8+12y = 5+14y
solving for y:
8-5 =14y-12y
3 = 2y
3/2 =y
y = 3/2 years
Feel free to ask for more if needed or if you did not understand something.
8 + 12y = 5 + 14y
12y + 8 = 14y + 5
12y + 8 - 8 = 14y + 5 - 8
12y = 14y - 3
12y - 14y = 14y - 3 - 14y
-2y = -3
(-2y)/-2 = -3/-2
y = 3/2
hurry up plz!! Harry performed an experiment with a standard number cube. He rolled the cube and recorded the results in a frequency table. The frequency table is given below. Find the experimental probability of the cube landing on an even number.
how would you solve this problem?
Answer:
a) 6x²/2x³-4
b) [tex]2ln (2x^3-4)+ C[/tex]
Step-by-step explanation:
a) Given the ln(2x³-4). We will use the chain rule in differentiating the function
If y = ln(2x³-4);
u = 2x³-4; du/dx = 3(2)x³⁻¹
du/dx = 6x²
y = ln u; dy/du = 1/u
According to chain rule, dy/dx = dy/dy*du/dx
dy/dx = 1/u * 6x²
dy/dx = 1/2x³-4 * 6x²
dy/dx = 6x²/2x³-4
Hence, the derivative of the given function is 6x²/2x³-4
b) Given an integral function [tex]\int\limits {\frac{12x^2}{2x^3-4} } \, dx[/tex], the integral problem can be solved using integration by substitution method as shown below;
From the question, let y = 2x³-4... 1, dy/dx = 6x²
dx = dy/6x² ... 2
Substituting equation 1 and 2 into the question given;
[tex]\int\limits {\frac{12x^2}{y} } \,\frac{dy}{6x^2} \\\\= \int\limits {\frac{2dy}{y} } \\\\= 2 \int\limits {\frac{dy}{y} }\\\\= 2lny + C\\substituting\ y = 2x^3-4\ into\ the \ resulting\ function\\\\= 2ln (2x^3-4)+ C[/tex]
A rectangle is 1 inch longer than it is wide. Its diagonal is 5 inches. What's the width of the rectangle?
Answer:
The width is 4 inches
Step-by-step explanation:
Represent the length and width by L and W respectively. Then L = W + 1.
According to the Pythagorean Theorem, the diagonal length is
D = sqrt( [W]^2 + [W + 1}^2 ) = 5, or [W]^2 + [W + 1}^2 = 25.
Then W^2 + W^2 + 2W + 1 = 25, and 2W^2 + 2W - 24 = 0.
Reducing, we get W^2 + W - 12 = 0, or (W + 4)(W - 4) = 0. Then W - 4 = 0, and W (the width) is 4. Then L = 5.
The width is 4 inches.
please help attachment
Answer: 12 days
Step-by-step explanation: if the track is 2214.5 miles long and Miguel is doing 21.14 miles an hours for 9 hours a day we’d need to know how much he completes in a single day
He does 9 hours and in each hour he completes 21.14 miles. So in a whole day he will complete 190.26 miles.
He needs to finish 2214.5 miles and he only completes 190.26 miles per day. So we divide to find how many days it will take him. After dividing we get the answer of 12 days
What is the surface area of this cone?
Use a ã 3.14 and round your answer to the nearest hundredth.
6 m
4 m
square meters
Answer:
52.28 sq m
Step-by-step explanation:
SA=pi r(r+ the square root of h-squared and r-squared)
SA=3.14x2(2+the square root of 36 and 4)
SA=3.14x2(8.32)
SA=52.28 sq m
The Surface area of the given cone is 50.24 meter square
What is Cone?A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the or vertex.
What is Surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given,
Slant height l = 6 meter
Radius of the base r = [tex]\frac{4}{2} =2[/tex] meter
Surface area of the Cone = [tex]\pi rl+\pi r^{2}[/tex]
=[tex]\pi (2)(6)+\pi (2^{2} )[/tex]
=50.24 meter square
Hence, the surface area of the given cone is 50.24 meter square
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Rate Problems:
3. Potomac Paddleboards rents paddleboards for $15 plus $4.50 per hour (no partial hours). How many hours
can you rent a paddleboard if you want to spend no more than $42?
Define variable:
Equation:
Solution:
how do i solve this?
The table shows equivalent ratios for converting from the United States dollar (USD) to the Canadian dollar (CAD). What is the Canadian dollar equivalent of 25 USD?
Conversion Chart
USD CAD
5 4.95
7 6.93
8 7.92
11 10.89
Answer:
C
Step-by-step explanation:
25*0.99 = 24.75
Answer:
C
Step-by-step explanation:
Im taking the test
Question 4 of 10
What do you know to be true about the values of p and q?
po
q"
60"
50"
30"
80°
A. p= 9
B. p< 9
C. p> 9
D. Can't be determined
Answer:
p > q
Step-by-step explanation:
We khow that the sum of a triangle's angles is 180°
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's start with the triangle containing p
● p+60+50 = 180
● p+110 = 180
● p = 180-110
● p= 90°
So p is a right angle
□□□□□□□□□□□□□□□□□□
The second triangle
● q+ 80+30 = 180
● q+ 110 = 180
● q = 180-110
● q = 70°
Then q is also a right triangle
■■■■■■■■■■■■■■■■■■■■■■■■■
We can deduce that p > q
compare -5/6 _ -3/7 choose from 1) > 2)
Answer
1)<2) please put 5 stars
Step-by-step explanation
First you need to find the GCF of the donominators which are 6 and 7. The GCF is 42.
6*x=42. x=7 5*7=35. -35/42 is the first fraction.
7*y=42 y=6 3*6=18. -18/42 is the second fraction.
-35/42 would be bigger but since it is negative, it is smaller.
Answer:
1)<2)
Step-by-step explanation:
What is x - ( -8) = 1 and what is x - ( -13) = 17?
Answer:
x - ( -8) = 1; x = -7
x - ( -13) = 17; x =
Step-by-step explanation:
x - ( -8) = 1 = x + 8 = 1
x = -7
x - ( -13) = 17 = x + 13 = 17
x = 4
Answer:
see below
Step-by-step explanation:
x - ( -8) = 1
Subtracting a negative is like adding
x+8 =1
Subtract 8 from each side
x+8-8= 1-8
x=-7
x - ( -13) = 17
Subtracting a negative is like adding
x+13 =17
Subtract 13 from each side
x+13-13= 17-13
x=4
Help ASAP!! This one's is difficult for me to understand!! Help me please!
Answer:
Ok so im in 7thgrade so ima try to help answer is x= 8x9
PLEASE HURRY!⚠️
Which is a perfect square?
Answer:
6²
Step-by-step explanation:
A number squared is a perfect square, thus
6² ← is a perfect square
Quadrilaterals L M N O and Q R S T are shown. Given that LMNO ≅ QRST, complete the statements. Side LM is congruent to side . Angle MNO is congruent to angle .
When you have two congruent figures, the vertices are listed in the same order. This means that
Side LM ≅ Side QR, Side MN ≅ Side RS, etc. The same applies for the angles.
Therefore, Side LM ≅ Side QR and Angle MNO ≅ Angle RST.
The complete statements are Side LM is congruent to the side QR and angle ∠MNO is congruent to angle ∠RST.
What is congruent quadrilateral?The two quadrilaterals whose angles and sides of one quadrilateral are the same as the corresponding angles and sides of another quadrilateral then two quadrilaterals are congruent to each other.
The order of the lettering for congruent parts should place the lettering for corresponding parts in the same order.
Given in the question that the quadrilateral LMNO and QRST are congruent.
LMNO ≅ QRST
As we know Congruent Parts of the congruent Figures are also congruent, we have;
side LM is congruent to side QR.
side MN is congruent to side RS.
side NO is congruent to side ST.
side OL is congruent to side TQ.
Similarly, for the corresponding angles of the quadrilaterals, we have;
angle ∠MNO is congruent to angle ∠RST.
angle ∠NOL is congruent to angle ∠STQ.
angle ∠OLM is congruent to angle ∠TQR.
angle ∠LMN is congruent to angle ∠QRS.
Therefore, Side LM is congruent to the side QR and angle ∠MNO is congruent to angle ∠RST.
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The dot plots below show the scores for a group of students for two rounds of a quiz:
Round 1
2
4
5
3
Score
Round 2
: :
..
+
1
2
4
5
3
Score
Which of the following inferences can be made using the dot plots?
O The range of round 2 is greater than the round 1 range,
O Round 2 scores are higher than round 1 scores
O Round 1 scores are lower than round 2 scores
There is no overlap between the data.
What happens when the multiplicity of a real root is odd?
Answer:
A: the graph will cross the x-axis
Answer:
A: the graph will cross the x-axis
Step-by-step explanation:
Tanya is considering obtaining a loan. Which benefit will Tanya receive if she makes a down payment when she obtains the loan?
A. higher finance charge
B. higher interest rate
C. higher principal amount
D.lower penalties on late payments
O E.
lower principal amount
Answer:
E. lower principal amount
Step-by-step explanation:
We can use an example to show how this works:
You want to buy a car and it costs $20,000. The loan lasts 5 years (60 monthly payments) and the interest rate is 10%.
If you do not make any down payment, your initial principal will be $20,000, and your monthly payment will be $424.94, your total payments = $25,496.45 and the total interests = $5,496.45.
Instead, if you make a 20% down payment, your initial principal = $16,000, and your monthly payment will be $339.95, your total payments = $20,397.16 and the total interests = $4,397.16.
Answer:
E. lower principal amount
The surface area of a rectangular prism that has height of 4 inches, width of 9 inches and length of 3 inches = ____________ in2.
Answer:
150 in^2
Step-by-step explanation:
The ends have the smallest surface area. The total surface area of the ends is thus 2(3 in)(4 in) = 24 in^2
The top and bottom together have the total surface area 2(9 in)(3 in) = 54 in^2.
Finally, the front and back surface areas together are 2(9 in)(4 in) = 72 in^2
Thus, the total surface area is (24 + 54 + 72) in^2 = 150 in^2
Surface area of a rectangular prism is equal to [tex]\boldsymbol{150}[/tex] square inches.
Surface area of a rectangular prismHeight of a rectangular prism [tex]=4[/tex] inches
Width of a rectangular prism [tex]=9[/tex] inches
Length of a rectangular prism [tex]=3[/tex] inches
Surface area of a rectangular prism [tex]=\boldsymbol{2(lw+wh+hl)}[/tex] where [tex]l,w,h[/tex] denote length, width and height of a rectangular prism
Therefore,
Surface area of a rectangular prism [tex]=2\left [ 4(9)+9(3)+3(4)\right ][/tex]
[tex]=2\left ( 36+27+12 \right )\\=150[/tex]
So, surface area is equal to [tex]\boldsymbol{150}[/tex] square inches.
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Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an additional $2.00 per mile for a ride. Write a system of linear equations that shows the cost in dollars, y, for a cab ride of x miles for each cab drive At what distance, in miles, will the cost be the same for both companies? Show your work
A cylinder with a base diameter of x units has a volume
of x cubic units
Which statements about the cylinder are true? Select
two options
The radius of the cylinder is 2x units.
The area of the cylinder's base is wa? square units.
The area of the cylinder's base is not square units.
The height of the cylinder in 2x umijs
The height of the cylinder is 4x units.
Save and Exit
Next
Submit
C
Answer:
The height of the cylinder in 2x units
The area of the cylinder's base is not square units.
Step-by-step explanation:
which sentence is represented by this algebraic equation "X/2-3=15"
Answer:
A
Step-by-step explanation:
The correct answer is A.
"3 less than" represents -3
"half of x" represents x/2
"is 15" represents =15
Mark scored an 89 on his first
test, an 85 on his second test, a
95 on his third test, and an 83
on his fourth test. If Mark wants
a tens score average of 90, what
must hc score on his fifth exam?
Answer:
98
Step-by-step explanation:
89+85+95+83= 352,
90x5= 450,
450-352= 98
The score on his fifth exam is 98.
To find the score on his fifth exam.
What is average?Number that is calculated by adding quantities together and dividing the total by the number of quantities. Mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Given that:
First test=89
Second test=85
Third test=95
Fourth test=83
Average = 90,
so total among up to fourth test=89+85+95+83= 352,
So, 90x5= 450,
Total score=450
Fifth test=450-352= 98
So, the score on his fifth exam is 98.
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