Answer:
The maximum height reached by Joel was 6 units.
Step-by-step explanation:
There seems to be a typo in the equation that models the Joel's jump. I'll assume it actually is [tex]h(t) = -0.2*t^2 + 2*t + 1[/tex], because that kind of movement is usually modeled with quadratic equations such as this. With this in mind, in order to find the maximum height Joel reached we need to calculate the vertex of this equation. The vertex of a quadratic equation [tex]y(x) = a*x^2 + b*x + c[/tex] can be calculated with the following expression:
[tex]x_{vertex} = \frac{-b}{2*a}[/tex]
While the "y", is found by applying the x coordinate of the vertex onto the equation. In the case of our problem a = -0.2, b = 2 and c = 1. Therefore the vertex can be found at:
[tex]t_{vertex} = \frac{-2}{2*(-0.2)} = \frac{-2}{-0.4} = 5[/tex]
Therefore the maximum height is:
[tex]h(5) = -0.2*(5)^2 +2*5 + 1\\h(5) = -5 + 10 + 1 = 6[/tex]
The maximum height reached by Joel was 6 units.
Solve px + 12 = 17 for x.
A. x =5/p
B. X =29/p
C. X= 5-p
D. x = p + 5
Answer:
A. [tex] x = \frac{5}{p} [/tex]
Step-by-step explanation:
[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]
Help please!!! A.) C and B B.) C and D C.) L and W D.) A and B
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
5 . 8Step-by-step explanation:
[tex]Hypotenuse = 8\\Adjacent = x\\ Angle = \alpha = 43\\\\Using ; SOHCAHTOA , \\Cos \alpha = \frac{adj}{hyp} \\Cos 43 =\frac{x}{8} \\0.73= \frac{x}{8} \\x = 0.73*8\\x = 5.84\\x = 5.8[/tex]
I hope i am correct
According to a survey, 30% of US adults attend
church every Sunday. Suppose two adults from the
US are chosen at random. Let x represent the
number in this sample who attend church every
Sunday. Write the probability distribution of x.
Answer:
The probability distribution of x is given by
P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ
Where n is the number of trials, x is the variable of interest and p is the probability of success.
P(x = 0) = 0.49
P(x = 1) = 0.42
P(x = 2) = 0.09
Step-by-step explanation:
The binomial distribution has the following features:
• There are n repeated trials and are independent of each other.
• There are only two possibilities: US adults attend church every Sunday or US adults do not attend church every Sunday
• The probability of success does not change with trial to trial.
Let x represent the number in this sample who attend church every
Sunday, the probability distribution of x is given by
P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ
Where n is the number of trials, x is the variable of interest and p is the probability of success.
For the given case
Probability of success = p = 0.30
Number of trials = n = 2
Variable of interest = x = 0, 1, 2
For P(x = 0):
Here we have x = 0, n = 2 and p = 0.30
P(x = 0) = ²C₀(0.30⁰)(1 - 0.30)²⁻⁰
P(x = 0) = 0.49
For P(x = 1):
Here we have x = 1, n = 2 and p = 0.30
P(x = 1) = ²C₁(0.30¹)(1 - 0.30)²⁻¹
P(x = 1) = 0.42
For P(x = 2):
Here we have x = 2, n = 2 and p = 0.30
P(x = 2) = ²C₂(0.30²)(1 - 0.30)²⁻²
P(x = 2) = 0.09
Subtract. 2x+3x−6−x2+x−1x2−5x−6 x2+4x+2(x−6)(x−1) (x+2)2(x−6)(x+1) x2+6x+2(x−6)(x+1) (x+2)2(x−6)(x−1)
Answer:
Step-by-step explanation:
Here are 30 best lifetime baseball batting averages of all time is shown to the right. These data can be graphically displayed as a histogram. Which of the following graphs correctly displays the data from the table? A. Graph A B. Graph B C. Graph C D. Graph D E. Graph E
Answer:
B). Graph B
Step-by-step explanation:
A Histogram is a graphic representation of data using bars varying in height as per the range of values.
In the given question, the second option correctly represents the data provided in the table using a histogram. It portrays the class ranging from 0.320 - 0.329 with an average of 1 in the first bar, from 0.330 - 0.339 with an average of 14 runs in the second bar, and moves so on till 0.360-0.369 correctly. The other options fail to portray the numerical distribution appropriately and hence, option B is the correct answer.
The vertex of this parabola is at (4,-3). Which of the following could be its
equation?
A. x==3(y - 3)2 + 4
B. X=-3(+4)2-3
C. X=-3(-4) 2-3
D. X=-3(y + 3) - 4
Answer:
Option D.
Step-by-step explanation:
From the given graph it is clear that it is a parabola along to the x-axis.
Vertex form of a parabola along the x-axis is
[tex]x=a(y-k)^2+h[/tex]
where, (h,k) is vertex.
From the graph it is clear that the vertex of the parabola is (4,-3). So, substitute h=4 and k=-3 in the above equation.
[tex]x=a(y-(-3))^2+(4)[/tex]
[tex]x=a(y+3)^2+4[/tex] ...(1)
The graph passing through (1,-2), so substitute x=1 and y=-2 in the above equation.
[tex]1=a(-2+3)^2+4[/tex]
[tex]1-4=a(1)^2[/tex]
[tex]-3=a(1)^2[/tex]
Substitute a=-3 in equation (1).
[tex]x=-3(y+3)^2+4[/tex]
Therefore, the correct option is D.
A triangle has two sides of lengths 7 and 9. What value could the length of
the third side be? Check all that apply
A, 5
B. 2
TI C. 13
D. 110
TE! 8
DIN F. 22
Answer:
5, 13, 10, 8
Step-by-step explanation:
hello, so for this question keep in mind the triangle inequality theorem which states- a side must be smaller than the sum of the other two sides.
go through each of the choices.
a. 5+7=12 12>9
b.2+7=9 9>9 this cant be the answer since 9 is equal to nine, not greater than,
c. 13+7=20 20>9
d.10+7=17 17>9
e.8+7=15 15>9
f.22+7=29 29>9 although 29 is greater than 9, we also have to keep in mind that the other 2 sides must also be greater than the other side. so try 7+9= 16. 16 isnt greater than 22 so it can’t be one of the answers.
hope this helped :)
Which of the following postulates led to the discovery of non Euclidean geometry?
A. A straight line segment can be drawn between any two points.
B. Through a given point not on a given line, there is exactly one line
parallel to the given line.
C. All right angles are equal to one another.
D. Any straight line segment can be extended indefinitely.
The discovery of non-Euclidean geometry will be All right angles are equal to one another. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The discovery of non-Euclidean geometry will be
The straight line segment can be drawn between any two points.Through a given point not on a given line, there is exactly one line parallel to the given line.Any straight line segment can be extended indefinitely.Then the correct option is C.
More about the geometry link is given below.
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For the following questions answer independent, dependent, or both. a) This probability causes you to subtract one from the total on the second draw because you don't replace. b) This probability causes you to multiply the probability of the first event by the probability of the second event. c) This probability causes you to leave the total the same on the second draw because you replace.
Answer:
(a)Dependent
(b)Both
(c)Independent
Step-by-step explanation:
a) When selections are made without replacement, the second(next) outcome is dependent of the first(previous) outcome. Therefore, we subtract one from the draw on the total.
Dependent(b)The probability of Event A and Event B is the multiplication of the probability of event A and the probability of event B. Events A and B can either be dependent or independent.
Both(c)When selections are made with replacement, the next outcome is independent of the previous outcome. Therefore, we say that the two events are independent.
IndependentCalculate the mean, median and mode of the following data.
14, 15, 16, 16, 9, 3, 16, 20, 29, 12
mean = 14.75, median =
mean =
15, mode = 16
mean = 15, median = 16, mode = 16
O
mean = 14.889, median = 16, mode
= 16
mean =
15, median =
15.5, mode = 16
Answer:
I hope this helps.
Step-by-step explanation:
Find the equation of the line whose slope is 2 and which passes through the point (-2, 4).
Answer:
Equation of a line is y = mx + c
where m = slope and c = y intercept
Using point ( -2 , 4) and m = 2
Equation of the line is
y - 4 = 2(x + 2)
y - 4 = 2x + 4
y = 2x + 4 + 4
y = 2x + 8
Hope this helps.
Equation of a line passing through (-2, 4) and slope '2' will be,
y = 2x + 8
Given in the question,
Slope of the line 'm' = 2Line passes through a point (-2, 4)Equation of a line passing through a point (h, k) and slope 'm' is given by the equation,
y - k = m(x - h)
Substitute the values in the given equation,
y - 4 = 2[x - (-2)]
y - 4 = 2(x + 2)
y = 2x + 4 + 4
y = 2x + 8
Therefore, equation of the line passing through (=2, 4) and slope '2' will be y = 2x + 8
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The hypotenuse of a triangle is 19cm calculate the length of the shortest side
Answer:
It is either 1 or 0.9
Step-by-step explanation:
COS=. adjacent / hypotenuse
adjacent = x
hypotenuse =19
COS= x / 19
cross multiply
x = COS (9)
x=0.91113026
The length of shorter side is 9.5 cm.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Ratio = 1 : 2 : 3
Hypotenuse = 19 cm
The sides are x, 2x and 3x.
x+ 2x + 3x = 180
6x= 180
x= 30 degree
and, 3x= 90 degree
Now, using Trigonometry
sin 30 = y/ 19
y= 19/2
y= 9.5
Hence, the length of shorter side is 9.5 cm
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Which statement about the function is true?
O The function is positive for all real values of x where
The function is negative for all real values of x where
-6exs-2.
O The function is positive for all real values of x where
X-6 orr-3
O The function is negative for all real values of x where
x<-2
Answer:
Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.
Step-by-step explanation:
As given in the graph,
Given function is a quadratic function, f(x) = (x + 2)(x + 6)
With x-intercepts of the function, x = -6 and -2
Graph below the x-axis represents the negative values of the function.
Graph above the x-axis represents the positive values of the function.
Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.
Identify examples and non examples of the standard form of a linear expression
Answer: see attachment
Step-by-step explanation:
The standard form of a linear equation is: Ax + By = C
where A, B, and C are INTEGERS.
The 1st, 3rd, & 4th equations are in the form Ax + By = C
The 2nd, 5th, & 6th equations are NOT in standard form.
Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. Which expression can be used to find the perimeter of the rectangle and what is the perimeter if x = 4? (5x−2)+(3x+1); 31 centimeters (5x−2)+(3x+1); 36 centimeters 2(5x−2)+2(3x+1); 62 centimeters 2(5x−2)+2(3x+1); 70 centimeters
Answer:
[tex] \boxed{\sf Perimeter \ of \ rectangle = 2(5x - 2) + 2(3x + 1); 62 \ centimeters} [/tex]
Given:
Length of rectangle (l) = (5x - 2) cm
Width of rectangle (w) = (3x + 1) cm
To Find:
Perimeter of rectangle
Step-by-step explanation:
[tex]\sf \boxed{\sf Perimeter \ of \ rectangle = 2(length + width)} \\ \\ \sf Putting \ value \ of \ length \ and \ with \ in \ the \\ \sf formula \ of \ perimeter \ of \ rectangle, \ we \ get:\\ \sf = 2((5x - 2) + (3x + 1)) \\ \\ \sf = 2(5x - 2) + 2(3x + 1)[/tex]
[tex]\sf Now, \ let's \ find \ the \ value \ of \ perimeter \ of \\ \sf rectangle \ by \ substituting \ x = 4, \ we \ get: \\ \\ \sf Perimeter \ of \ rectangle = 2(5(4) - 2) + 2(3(4) + 1) \\ \\ \sf 5 \times 4 = 20 : \\ \sf = 2( \boxed{20} - 2) + 2(3(4) + 1) \\ \\ \sf 3 \times 4 = 12 : \\ \sf = 2(20 - 2) + 2( \boxed{12} + 1) \\ \\ \sf 20 - 2 = 18 : \\ \sf = 2 \times \boxed{18} + 2(12 + 1) \\ \\ \sf 12 + 1 = 13 : \\ \sf = 2 \times 18 + 2 \times \boxed{13} \\ \\ \sf 2 \times 18 = 36 : \\ \sf = \boxed{36} + 2 \times 13 \\ \\ \sf 2 \times 13 = 26 : \\ \sf = 36 + \boxed{26} \\ \\ \sf = 62 \: centimeters[/tex]
Answer:
C
Step-by-step explanation:
edge2020
Connie owns x books. Her friend Alma owns
7 more than 2 times the number Connie
owns. So Alma owns 2x + 7 books.
If x is 16, what is 2x + 7?
Enter the correct answer.
Answer:
39 books
Step-by-step explanation:
Solve the equation in order of PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)
2(16) + 7
Multiply 2(16) first.
2(16) = 32
Then add 7.
32 + 7 = 39
Which of the following formulas would find the surface area of a right cylinder
where h is the height, ris the radius, and BA is the base area?
Check all that apply.
A. 2 pi r^2 + 2 pi rh
B. Ba + 2 pi rh
c. Ba + pi r^2
D. Pi r^2 + pi rh
E.2 pi r^2
Answer:
A and B
Step-by-step explanation:
The surface area is [tex]2\pi rh+2\pi r^2[/tex]
BA is also the base, which is [tex]\pi r^2[/tex]
That means that B is also an answer.
The formulas which can be use to find the surface area of a right cylinder is 2πr² + 2 πrh and BA+2πrh.
What is surface area of cylinder?Surface area of cylinder is the area of each faces by which it is enclosed.
The surface area of cylinder can be calculated with the following formula;
[tex]A=2\pi r^2+2\pi rh[/tex]
Here, (h) is the height of the cylinder and (r) is the radius.
This formula is similar to the option A. Thus, the option A is correct. The base of the cylinder is circular and there are two circle at the base of a cylinder.
The base area of the cylinder is,
[tex]BA=2(\pi r^2)\\BA=2\pi r^2[/tex]
Put this value in the surface area formula of cylinder as,
[tex]A=BA+2\pi rh[/tex]
Thus, the option B is also correct.
Hence, the formulas which can be use to find the surface area of a right cylinder is 2πr² + 2 πrh and BA+2πrh.
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7. A company manufactures shaving sets for $5 each and sells them for $7 each. How many shaving sets must be sold for the
company to recover an initial investement of $45,000 and earn an additional $15,000 as profit?
The company has to sell
$15,000 as profit.
shaving sets to recover an initial investment of $45,000 and earn an additional
Answer:
The company has to sell 30,000 sets.
Step-by-step explanation:
Cost of each set = $5
Sale of each set = $7
Profit on each set = $7 - $5 = $2
Let
Number of sets = x
Profit on x number of sets = ($2) · x
Recovery of initial investment = $45,000
Additional profit = $15,000
Total Profit desired = $45000 + $15000 =$60,000
Which means that we have to find the number of sets sold, which can earn us a total profit $60,000, from which $45000 are the recovery of initial investment and $15000 are additional profit.
We can conclude that:
Profit on x number of set = Total profit desired
($2) · x = $60,000
x = $60,000 / $2
x = 30,000 sets
Which congruence statement correctly compares the two triangles shown? answers: A) ΔBCD ≅ ΔMKL B) ΔCBD ≅ ΔKLM C) ΔDCB ≅ ΔMLK D) ΔBCD ≅ ΔMLK
Answer: A) ΔBCD ≅ ΔMKL
Step-by-step explanation:
In the given picture, it can be seen that
In Δ BCD and ΔMKL
∠B = ∠M
∠C = ∠K
∠D = ∠L
So, corresponding angles are equal.
Also,
segment BD = segment ML
segment DC = segment KL
segment BC = segment MK
So by using SSS (Side-Side-Side) postulate of congruence, we have
ΔBCD ≅ ΔMKL
Hence, the correct option is A) ΔBCD ≅ ΔMKL.
SSS (Side-Side-Side) postulate of congruence says that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruentAnswer:
A) ΔBCD ≅ ΔMKL
Step-by-step explanation:
Can someone help a struggling person out. I forgot how to do this.
Answer:
y= -3x+3/2
Step-by-step explanation:
Write it in the form of y=mx+b because that is the y-intercept form.
So just plug it in. y=-3x+3/2
Answer
y= -3x+3/2
Step-by-step explanation:
Which of the following is a triangle congruence theorem?
A) SAS
B) AS
C) SSA
D) AAA
Answer:
Sas
Step-by-step explanation:
Which fraction is equivalent to 3/-5
A 5/-3
B -5/-3
C -3/5
D -3/-5
Answer:
C -3/5
Step-by-step explanation:
3 / -5
It doesn't matter where the negative sign goes
-3/5 or
- 3/5
We have one negative sign
Answer:
C. -3/5
Step-by-step explanation:
ANSWER ASAP :D +Brainliest if correct!
Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer. What is Jo’s error? (picture below) Jo should have rounded the dividend to –40. Jo should have rounded the divisor to –6. Jo should have divided –7 by –42. Jo should have divided –7 by –7.
Answer:
Jo should have rounded the divisor to -6.
Explanation:
When rounding, a number with a decimal value below 0.5 rounds down and a number with a decimal value of 0.5 and greater gets rounded up. 0.3 is less than 0.5 which means -6.03 is closer to -6 than -7 and should have been rounded to -6 instead.
Answer:
B!
Step-by-step explanation:
simple division :)))
Help i suck at math .....will mark brainiest for the correct answer
Answer:
B= 30; A = 60
Step-by-step explanation:
just that it ur welcome
Answer:
B=60, A=30
Step-by-step explanation:
Use the zero product property to find the solutions to the equation x2 - X-6 = 0.
x= -3 or x = -2
x= -3 or x = 2
Ox= -2 or x= 3
O x= 2 or x = 3
Answer:
third option
Step-by-step explanation:
Given
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Answer:
x = -2 or x = 3
Step-by-step explanation:
The answer to your question is C.
Which number line shows the solution set for |g+2| > 3?
Hey there! :)
Answer:
The 2nd choice.
Step-by-step explanation:
Begin by solving the inequality |g + 2| > 3. There is a negative and positive solution:
g + 2 > 3
g > 1
-(g + 2) > 3
-g - 2 > 3
-g > 5
g < -5
Therefore, the number-line showing solutions LESS THAN -5 and GREATER THAN 1 is the 2nd choice.
**Remember, for '<' and '>' signs without the EQUAL TO, the points are open circles.
Answer:
B)
Step-by-step explanation:
correct on edge test ✅
Jason went shopping he bought a watch and a pair of trainers for a total price of £53.55 this price includes a 15% loyalty discount. before the discount, the trainers were priced at £38 work out the price of the watch before the discount
please help me
I'm struggling
Answer:
£25
Step-by-step explanation:
Total price- £53.55
Pair of trainers cost- £38 before discount
Discount= 15%
Cost of pair of trainers after discount:
£38 - 15%= £38*0.85= £32.3Price of the watch after discount:
£53.55 - £32.3= £21.25Price of the watch before discount:
£21.25/0.85= £25Which is an example of a survey involving quantitative data? the favorite food of each person the number of cavities each person has had the color of the walls in each person’s bedroom the type of car that each person owns
Answer: Number of Cavities
What is the value of x?
Answer:
x = 28
Step-by-step explanation:
We can use ratios to solve
x x+10
------ = -----------
42 42+15
Using cross products
42(x+10) = x(42+15)
42x+420 = 57x
Subtract 42x from each side
420 = 15x
Divide by 15
420/15 = x
28 =x