It will take 5 seconds for the waste to hit the ground.
How many seconds will it take for the waste to hit the ground?We know that the bird releases the waste from a height of 400ft, so the height equation is:
[tex]h(t) = -16t^2 + 400[/tex]
The waste will hit the ground when its height is equal to zero, so we just need to solve the quadratic equation:
[tex]h(t) = 0 = -16t^2 + 400\\\\16t^2 = 400\\\\t^2 = 400/16 = 25\\\\[/tex]
Now we can apply the square root in both sides:
[tex]t = \sqrt{25} = 5[/tex]
It will take 5 seconds for the waste to hit the ground.
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HELP ASAP/NOW....NO LINKS OR JOKING
for which value of x is F(x)=0
A. 3
B. -5
C. -3
D. -6
Answer:
D) -6
Explanation:
f(x) = 0 suggests the x value which will make the function zero.
Find slope:
⇒ (y₂ - y₁)/(x₂-x₁)
⇒ (2 - 1)/(-2-(-4))
⇒ 1/2
Equation:
⇒ y - 2 = 1/2(x - (-2))
⇒ y = x/2 + 3
f(x) = x/2 + 3If f(x) = 0
x/2 + 3 = 0
x/2 = -3
x = -6
Which of the following have exactly 1 solution?
Choose all answers that apply.
A. -5x + 12 = -12x - 12
B.-5x+12=-5x-12
C. −5x+12=5x+12
D. −5x+12=5x−5
The equations;
-5x + 12 = -12x - 125x+12=-5x-12−5x+12=5x+12−5x+12=5x−5 all have exactly 1 solution.What is a linear solution?A linear equation is one in which there is only one solution. In a linear solution, the highest power of x is 1.
If we look at the equations listed, we will discover that they are all linear equations, as such;
-5x + 12 = -12x - 125x+12=-5x-12−5x+12=5x+12−5x+12=5x−5Will all have exactly 1 solution.
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does someone mind helping me with this question? Thank you!
Answer:
[tex]\bf -20[/tex]Step-by-step explanation:
[tex]\bf 2(xy-7)[/tex] [tex]\bf when[/tex] [tex]\bf x=-1/y=3[/tex]
Substitute with x and y with 3:-
[tex]\bf 2\left(\left(-1\right)(3)-7\right)[/tex]
First, Multiply -1 and 3 = -3
[tex]\bf 2(-3-7)[/tex]
Subtract 7 from -3 = -10
[tex]\bf 2(-10)[/tex]
Multiply 2 and -10 = -20
[tex]\bf -20[/tex]
______________________The frequency table shows the results asking people how many hours they spend online per week
The histogram is attached with the answer.
What is a Histogram ?It is a mathematical representation of data in a bar shaped graph , the range is user defined.
The histogram is drawn and the shape of the histogram is left skewed as the peak of the graph lies to the left of the centre.
The histogram is attached with the answer.
The complete question is
the frequency table shows the results of a survey that asked people how many hours they spend working in the yard per month. display the data in a histogram. describe the shape of the distribution
The data is attached with the answer.
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14x - 12 = 16
PLS HELP HURRY
Answer:
[tex]\fbox {x = 2}[/tex]
Step-by-step explanation:
Given :
14x - 12 = 16
Add 12 to each side :
14x - 12 + 12 = 16 + 12
14x = 28
Divide each side by 14 :
14x/14 = 28/14
x = 2
Name
Two-Variable Statistics
Relationship between Two Categorical Variables - Marginal and Joint Relative Frequency -
Part 2
Warm Up
Complete the table and calculate the percent for each total.
The completed table is given below,
the percentage of girls in the class is 47.62%,
the percentage of boys in the class is (100-47.62)% = 52.38%,
the percentage of students that love Math is 36.5%,
the percentage of students that love Reading is 22%, and
the percentage of students that love Science is 41.27%
To make comparison and statistical analysis easier, numerical data is systematically and logically represented in tabulations as rows and columns. Grouping relevant data together makes comparison easier and aids in statistical analysis and interpretation.
To put it another way, tabulation is the process of organizing data and presenting it in a tabular format. Depending on the type of categorization, it might be double, complicated, or simple.
The below table yields that
The total number of students is 315
The fraction of girls in the class is 150/315 = 0.4762
So, the percentage of girls in the class is 47.62%
Hence the percentage of boys in the class is (100-47.62)% = 52.38%
The fraction of students that love Math is 115/315 = 0.365
So, the percentage of students that love Math is 36.5%
The fraction of students that love Reading is 70/315 = 0.22
So, the percentage of students that love Reading is 22%
The fraction of students that love Science is 130/315 = 0.4127
So, the percentage of students that love Science is 41.27%
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Im just very confused. This is probably easy but im lazy
Answer:
yes
Step-by-step explanation:
and yes
Answer:
The answer is 1.
Step-by-step explanation:
If you look closely at the other answers, they are not alike as 1.
(HOPE THIS HELPED!)
Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2).
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: y= - \cfrac{x}{ 3} + 1 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Equation of line (two point form) :
[tex]\qquad \tt \rightarrow \: (y - y_1) = \cfrac{y _1- y_2}{ x_1 - x_2} (x - x_1)[/tex]
[tex]\qquad \tt \rightarrow \: (y - 2) = \cfrac{2 - ( - 1)}{ - 3 - 6} (x - ( - 3))[/tex]
[tex]\qquad \tt \rightarrow \: (y - 2) = \cfrac{2 + 1}{ - 9} (x + 3)[/tex]
[tex]\qquad \tt \rightarrow \: (y - 2) = - \cfrac{3}{ 9} (x + 3)[/tex]
[tex]\qquad \tt \rightarrow \: (y - 2) = - \cfrac{1}{ 3} (x + 3)[/tex]
[tex]\qquad \tt \rightarrow \: y - 2= - \cfrac{x}{ 3} - \cfrac{3}{3} [/tex]
[tex]\qquad \tt \rightarrow \: y = - \cfrac{x}{ 3} - 1 \cfrac{}{} + 2[/tex]
[tex]\qquad \tt \rightarrow \: y = - \cfrac{x}{ 3} + 1[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Given the function f(x) below, evaluate 3f(-2) + f(1).
if z ≤-3
3z²-2z if -3
-2√2-1
if x > 0
7x-2
f(x) = 3x² - 2x
pls help
The value of the expression 3f(-2) + f(1) is 45
Piecewise functionsPiecewise functions are functions that has two or more equations. They can consists of parabola and straight line.
From the equations, the point where x is -2 is f(x) = 3x^2 - 2x
f(-2) = 3(-2)^2 - 2(-2)
f(-2) = 12 + 4
f(-2) = 16
Similarly the point where x = 1 is -2√x - 1
f(1) = -2√1 - 1
f(1) = -2 - 1
f(1) = -3
Substitute
3f(-2) + f(1) = 3(16) +(-3)
3f(-2) + f(1) = 48 - 3
3f(-2) + f(1) = 45
Hence the value of the expression 3f(-2) + f(1) is 45
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if x = 5 and y = 2 , work out the value of a) 3x+y b) 2x squared c) ( x-y) 2 squared out of the brackets
Answer:
a) 17
b) 50
c) 6
Step-by-step explanation:
a) 3x+y
3(5)+2
15+2
17
b) 2x²= 2×5²
2×25
50
c) (x-y)2= (5-2)2
(3)2
3×2
6
If TU = 8, UV = 3x, and TV = x + 10, what is TV?
The value of TV is 11.
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given:
TU= 8, UV = 3x and TV = x+10
TV= TU + UV
x +10= 8+ 3x
-2x = -2
x= 1
Hence, TV = 1+10= 11.
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Angelina's family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and
hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?
A. The ordered pair (-3, 6) is viable.
B. The ordered pair (7, 2) is viable.
C. The ordered pair (15,-7) is viable.
D. The ordered pair (18,3) in non viable
The ordered pair (7,2) is viable and Option B is the correct answer.
What is Relationship ?Relationship between variables defines the way one variable is dependent upon the other variable.
It is given that x is the number of visitors and y is the number of winners,
It has to be seen and chosen that which ordered pair makes sense
The ordered pair is viable if the no. of visitor is positive and more than the number of winners.
Therefore ordered pair (7,2) is viable and Option B is the correct answer.
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Solve for x.
2 In ( x + 6 ) = 10
Corrected question :
Solve for x. 2 ( x + 6 ) = 10Solution :-
>> 2 ( x + 6 ) = 10
Multiplying 2 into (x + 6),
>> 2 × (x + 6) = 10
>> 2x + 12 = 10
Transposing 12 to R.H.S. (Remember that sign would be changed to negative),
>> 2x = 10 - 12
>> 2x = -2
Dividing them,
>> x = -2 / 2
>> x = -1
Answer:
[tex]\displaystyle{x=e^5-6}[/tex]
Step-by-step explanation:
Given the equation:
[tex]\displaystyle{2\ln (x+6)=10}[/tex]
Divide both sides by 2:
[tex]\displaystyle{\ln (x+6)=5}[/tex]
Convert to exponential form using the property of:
[tex]\displaystyle{\ln M = N \to e^N = M}[/tex]
Henceforth, we will have [tex]\displaystyle{e^5=x+6}[/tex] then subtract both sides by 6:
[tex]\displaystyle{x=e^5-6}[/tex]
Select the correct answer.
What is the value of this expression?
(10-4i) (4-5i) + (-15 + 20i)
Answer:
5-46i
Step-by-step explanation:
first multiply your (10-4i)(4-5i) so that would be 20-66i when simplified. then add that to -15+20i so it would look like 20-66i+(-15+20i). then simplify and you should get 5-46i.
If a = 7 - 4√3, find the value of a + 1/a
Answer:
Step-by-step explanation:
To calculate a+1/a, we first need to calculate for a.
a = 7 - 4 * [tex]\sqrt[2]{3}[/tex]
square root of 3 = 1.73
a = 7 - 4 * 1.73
a = 7 - 6.9
a = 0.1
0.1 + 1 / 0.1 = 0.1 + 10 = 10.1
Now, in case 4 wasn't being multiplied with the square root of 3, and instead, it was four root of 3, I am gonna do the calculations again:
a = 7 - [tex]\sqrt[4]{3}[/tex]
a = 7 - 1.31
a = 5.69
5.69 + 1 / 5.69 = 5.69 + 0.17 = 5.86
Hope I Helped!
Find the value of x, given that the two triangles are similar.
Answer:
10.5 is the correct answer.
Step-by-step explanation:
Due to the fact Triangle CAB has "6" as its length, and Triangle FDE has "2" as its length, you multiply 3.5 and 3.
3.5 x 3=10.5
2 x 3=6
3.5/2=10.5/6, so the answer is 10.5.
Answer:
x = 10.5 cmStep-by-step explanation:
Find the value of x, given that the two triangles are similar.
Given that the two triangles are similar we can solve with a proportion
6 : 2 = x : 3.5
x = 6 * 3.5 : 2
x = 21 : 2
x = 10.5
Does this graph show a function? Explain how you know.
Answer:
No, the graph fails the vertical line test
Step-by-step explanation:
To determine if the graph is a function, we can use the vertical line test.
Use a vertical line, if the vertical passes through two or more points, the graph is not a function
Looking at the y axis ( which is a vertical line), it passes through two points
This means the graph is not a function
No, the graph fails the vertical line test
Add2√3+√5 and√3 -3√5
Answer:
[tex] \sqrt[2]{3} + \sqrt{5} = \sqrt[2]{8} [/tex]
[tex] \sqrt{3 } - \sqrt[3]{5} = \sqrt[3]{2} [/tex]
PLEASE HELP
If the discriminant of an equation is zero, which of the following is true of the equation?
A. It has one complex solution
B. It has two complex solutions
C. It has one real solutions
D. It has two real solutions
Considering the discriminant of zero for a quadratic equation, the correct option is given by:
C. It has one real solutions.
What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The discriminant is:
[tex]\Delta = b^2 - 4ac[/tex]
The solutions are as follows:
If [tex]\mathbf{\Delta > 0}[/tex], and it is a perfect square, it has 2 rational solutions.If [tex]\mathbf{\Delta > 0}[/tex], and it is not a perfect square, it has 2 irrational solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has 1 rational solutions.If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.Discriminant of zero is [tex]\Delta = 0[/tex], hence option C is correct.
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What is m2?
What is m<1?
Answer:
∠ 2 = 75° , ∠ 1 = 105°
Step-by-step explanation:
∠ 2 and 75° are alternate angles and are congruent , then
∠ 2 = 75°
∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is
∠ 1 + ∠ 2 = 180°
∠ 1 + 75° = 180° ( subtract 75° from both sides )
∠ 1 = 105°
What is the sum of the polynomials?
(6x+7+x²) + (2x²-3)
-x²+6x+4
3x²+6x+4
9x + 4
9x² +4
Answer:
3x^2 + 6x + 4
Step-by-step explanation:
6x + 7 + x^2 + 2x^2 - 3 = 3x^2 + 6x + 4
Answer:
3x²+6x+4
Step-by-step explanation:
Given:
(6x+7+x²) + (2x²-3)
Aim:
To add the polynomials
Solution:
Removing brackets first:
6x+7+x²+2x² - 3Collecting like terms to each other,
6x+7-3+2x²+x²Simplifying,
6x+4+3x²Rewriting it as,
3x²+6x+4Second choice is accurate.
the equation that represents the canned goods order is 24x+64y=384
x= number of minutes fruit cans
y= number minutes of for vegetable cans
explain how to calculate the x- and y- intercepts
The x-intercept is (16, 0) and y- intercept is (0, 6).
What is intercept?The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Given: 24x+64y=384
For y- intercept, put x=0
Then,
24*0+64y=384
64y= 384
y= 6
Now, for x- intercept put y=0
Then,
24x+64*0=384
24x= 384
x= 15
Hence, the x-intercept is (16, 0) and y- intercept is (0, 6).
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Answer:
Sample Answer: Substitute 0 for the x-value in the equation and solve for y. The result is y = 6, so the y-intercept is at (0, 6). Next, substitute 0 for the y-value in the equation and solve for x. The result is x = 16, so the x-intercept is at (16, 0).
Step-by-step explanation:
Which of the following terms is defined as 1/sin?
Answer: cosecant
Formula's are:
Secant:
1/cos(x) = sec(x)
Cosecant:
1/sin(x) = cosec(x)
Cotangent:
1/tan(x) = cos(x)/sin(x) = cot(x)
What do the differences between the points (as shown on the graph) represent?
On a coordinate plane, point B is at (2, 7) and point D is at (4, 14).
PLEASE HELP ME WITH THIS ASAP
jackie brought 9 plants
Answer:
I think its the thrid one because it is the only one with the correct top equation(I can't see the rest)
Step-by-step explanation:
The parent function f(x)=√x is transformed to g(x) = f(-x) - 2. Which graph represents g(x)?
Using translation concepts, the graph of g(x) is given at the end of the question.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is given by:
[tex]f(x) = \sqrt{x}[/tex].
With the changes, we have that:
f(-x) is the function reflected over the y-axis.f(-x) - 2 is the function reflected over the y-axis and shifted 2 units down.Hence the function will be given by:
[tex]f(x) = \sqrt{-x} - 2[/tex].
The graph is given at the end of the answer.
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Answer:
Step-by-step explanation:
A building 190 feet tall casts a 90 foot long shadow. if a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building
Answer:
About 64.65 degrees
Step-by-step explanation:
[tex] \tan(x) = \frac{190}{90} [/tex]
[tex]x = { \tan}^{ - 1} \frac{190}{90} = 64.65[/tex]
Make sure your calculator is in degree mode.
PLEASE HELP ASAP!!!!!!
Right △EFG has its right angle at F, EG=8, and FG=2.
What is the value of the trigonometric ratio of an angle of the triangle?
Drag a value to each box to match the trigonometric ratio with its value.
TanE=
SinG=
SecG=
(4,1/4, 4√15/15, √15/15, √15/4)
(PLEASE ANSWER ASAP, ALSO IF YOU KNOW ANY OF THE OTHER ANSWERS TO THE PRE-CALUCLUS-TRIGONOMETRY SEMESTER TEST 6.04 PLEASE HELP!)
The values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .
What are Trigonometric Ratios ?When a Triangle is a right angled Triangle then the ratios used to determine the sides and the angles of the triangle are called Trigonometric Ratio.
It is given that in triangle EFG , right angled at F ,
EG = 8 , FG = 2
By Pythagoras theorem
The length of EF is
8² = 2² + EF²
EF = √(64-4) = √60 = 2√15
The value of the trigonometric ratios is
sin E = Perpendicular / Hypotenuse
sin E = 2 / 8 = 1/4
sin G = 2√15 / 8 = √15 / 4
sec G = 1 / cos G = Hypotenuse / Base = 8 / 2 = 4
Therefore the values of the trigonometric ratio is 1/4 , √15 / 4 , 4 .
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on a number line point D is at -6 and point E is at 8 point F lies between points D and E if DF:FE is 3:1 where does point F lie on the number line
The point F lies on 4.5 in the number line.
Number line is a One dimensional representation of point referring by a number only.
We know that if a point divides a line joining the points at x,y in the number line respectively in m:n ratio then that point lies on = (my+nx)/(m+n) in the number line.
Here in the give problem that,
Point D lies on -6 in number line
Point E lies on 8 in number line
And F lies between D and E points and DE:EF = 3:1
So the point F clearly divides the staright line DE joining the point D at -6 and E at 8 in 3:1 ratio.
So the point F lies on = (1*(-6)+3*8)/(3+1) = (-6+24)/4 = 18/4 = 4.5
Hence the point F lies on 4.5 in the number line.
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Answer: 4.5
Step-by-step explanation: