Answers
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
Related Questions
the lenght, l , of a rectangle is twice its width, w and the premiter is p
which mathematical relationship(s) this senerio
select all that apply
A L=W-P
B2L=W
C 2W=L
D 2(L+2W)=P
E 2(L+W)=P
F p=6W
Answers
The perimeter for the length L and width W that is 2L will be 2W=L as the definition of perimeter says, "The total length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges".
What is perimeter?The total length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. The perimeter of a shape is the space surrounding its edge. A closed path that encompasses, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. We must add up the lengths of the rectangle's four sides in order to determine its perimeter. Since there are two of each side length, it is easy to accomplish this by simply adding the length and width and multiplying the result by two. The perimeter formula is defined as perimeter=2(length + width).
Here,
Perimeter=2(length + width)
Length=L
Width=W=2L
2(L+W)=P
In accordance with the definition of perimeter, the perimeter for a length L and a width W that is equal to 2L will be 2W=L "In geometry, a shape's perimeter is referred to as its overall length. The perimeter of a shape is determined by adding all of its sides' and edges' lengths ".
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Find the distance between the two points.|(1,4)✓ [?](-2,-3)Enter the number thatgoes beneath theradical symbol.Enter
Answers
The distance between two points is given as;
[tex]D=\sqrt[]{(y_2-y_{1_{}})^2+(x_2-x_1)^2}[/tex][tex]\begin{gathered} \text{Where x}_1=-2 \\ y_1=-3 \\ x_2=1 \\ y_2=4 \end{gathered}[/tex][tex]\begin{gathered} D=\sqrt[]{(4-(-3)^2+(1-(-2)^2} \\ D=\sqrt[]{7^2+3^2} \\ D=\sqrt[]{49+9} \\ D=\sqrt[]{58} \end{gathered}[/tex]The number beneath the radical symbol is 58.
Solve each system of equations by SUBSTITUTION. Clearly identify your solution.5x + 3y = 15) (x - 6y = 3
Answers
x = 3, y = 0
Explanation:5x + 3y = 15 ...equation 1
x - 6y = 3 ...equation 2
Using substitution method:
We can use any of the variables to work out the substitution method
let's make x the subject of formula in equation 2:
x - 6y = 3
x = 3 + 6y ...equation 3
Now we substitute 3+6y for x in equation 1:
5(3+6y) + 3y = 15
Expand the paranthesis:
15 + 30y + 3y = 15
collect like terms:
30y + 3y = 15 - 15
33y = 0
Divide both sides by 33:
33y/33 = 0/33
y = 0
We substitute 0 for y in any of the equation:
Using equation 2:
x - 6(0) = 3
x - 0 = 3
x = 3
what is the slope of the line that passes through the points (-4,2) and (-5,0). answer in simplest form
Answers
The line which passes through (-4,2) and (-5,0) has a slope of 2.
Let,
[tex](x_{1},y_{1})[/tex] = (-4,2)
[tex](x_{2},y_{2})[/tex] = (-5,0)
If the points are equal to each other, their x-coordinates are equal to each other:
[tex]x_{1}[/tex]=-4
[tex]x_{2}[/tex]=-5
If the points are equal to each other, their y-coordinates are equal to each other:
[tex]y_{1}[/tex]=2
[tex]y_{2}[/tex]=0
The slope, m is the steepness of a line and it is measured as the ratio of the change in vertical distance, rise over the change in horizontal distance, run.
The slope of the line, m:
m = ([tex]y_{2}[/tex]-[tex]y_{1}[/tex])/([tex]x_{2}[/tex]-[tex]x_{1}[/tex])
m=(0-2)/(-5-(-4))
m=(-2)/(-1)
m=2
The slope of the line for the two points is 2.
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JJ decides to leave a tip that is 15% of the original price for his meal. How much should he leave as tip for the $5.50 cheeseburger and $2.50 milkshake? Express your answer to the hundredths place.
Answers
JJ should leave $1.20 as a tip for the meal.
What is a tip?Gifts or amounts offered for services provided or expected.Below are some of the most common ways to calculate a tip:Method 1: Hover over the decimal point on your bill total and double the number.Method 2: Double the tax amount on the invoice.Method 3: Double the Input Tax Invoice, then shift the decimal point by one place.Some places add a tip to the bill, so check your bill carefully.For waiters in sit-down restaurants, the tip is 15-20% of the bill before tax.
According to the question:
Tip = 15% of the original priceTip = 15 % × $8Tip = $1.20Therefore, JJ should leave $1.20 as a tip for the meal.
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can someone help me with this assignment
Answers
Answer:
6
Step-by-step explanation:
On the coordinate plane, it shows that the y axis is 6. Therefore, (16, 6)
Answer:
5
Step-by-step explanation:
3. In the figure below, XU is the midsegment of TVW and is parallel to VW, determine the length of XU. (3 points) 11x + 2 U 10x + 16
Answers
If XU is the midsegment of TVW, then, it is necessary that:
(11x + 2)/(10x + 16) = 1/2
multiply the previous equation by 10x + 16:
11x + 2 = 1/2(10x + 16)
11x + 2 = 5x + 8 subtract 5x and 2 both sides
11x - 5x = 8 - 2
6x = 6
x = 6/6
x = 1
THe length of XU is:
XU = 11x + 2 = 11(1) + 2
XU = 13
TIME REMAINING56:5412.Which points are reflections of each other across both axes?Ty24-2(-2.8) and (2. -8)(-7 -1) and (-7. 1)(5.-6) and (-5, -6)NelSubSave and ExitMark this and return
Answers
a point is reflected against both axes when the two signs of the point are opposite
for example the reflexion against both axes for the point(-2,8) is (2,-8)
among the options there is none that meets this condition
For each ordered pair, determine whether it is a solution to 4x + 5y = -13.
(-7,4)
(8,- 9)
(-1, -2)
(6, 3)
Is it a solution ?
Answers
Answer:
4x-5y=-13. 4x−5y=−13 4 x - 5 y = - 13.
Step-by-step explanation:
Step 1. Solve the equation for y y . Tap for more steps.
The circumference of a circle is 24π in. What is the area, in square inches? Express your answer in terms of π.
Answers
Given
[tex]circumference\text{ of circle = 24}\pi\text{ in}[/tex]Recall that the formula for the circumference of a circle C is:
[tex]C\text{ = 2}\pi r[/tex]Using the formula, we can find the radius of the circle as shown:
[tex]\begin{gathered} 2\pi r\text{ = 24}\pi \\ Divide\text{ both sides by 2}\pi \\ r\text{ = }\frac{24\pi}{2\pi} \\ r\text{ = 12 in} \end{gathered}[/tex]The area A of a circle can be found using the formula:
[tex]A\text{ = }\pi r^2[/tex]Substituting the value obtained:
[tex]\begin{gathered} A\text{ = }\pi\text{ }\times\text{ 12}^2 \\ =\text{ 144}\pi\text{ in}^2 \end{gathered}[/tex]The area is 144π square in
7/10 3/10 solve complex fraction
Answers
The value of the complex fraction 7/10/3/10 is
2 1/3
What is a complex fraction?A fraction is made up of two parts, a numerator and a denominator; the number above the line is the numerator and the number below the line is the denominator. The line or slash in that separates the numerator and the denominator in a fraction represents division.
A complex fraction can be defined as a fraction in which the denominator and numerator or both contain fractions. For example( 5/2)/(6/4).
Therefore the fraction (7/10)/(3/10) can be simplified as 7/10÷3/10= 7/10×10/3 = 7/3= 2 1/3
Therefore the simplified value of the complex fraction is 2 1/3.
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-3, -6, -12, -24,.... Next 3 2, 4, 8-12, -6, -3-48, -96, -192 -36, -48, -60
Answers
We can see that the ratio between consecutive numbers is
[tex]\frac{-6}{-3}=\frac{-12}{-6}=\frac{-24}{-12}=2[/tex]this means that, the nex number is
[tex]\begin{gathered} -24\cdot2=-48 \\ \text{and next} \\ -48\cdot2=-96 \\ \text{and finally} \\ -96\cdot2=-192 \end{gathered}[/tex]Hence, the answer is -48, -96, -192
Jan takes her three children and two neighbor's childrento a matinee. All of the children are under age 13. Writan expression for the total cost of admission. Howmuch in all did Jan pay for admission?(Matinee: 3$)
Answers
There are 6 people going to the movie
Jan, her 3 children, 2 neighbor children
(1+3+2)
Each costs 3 dollars to get in
Total cost = number of people * cost
Total cost = (1+3+2) * 3
= 6*3
= 18
12. What is the slope using the following points?
(12, 4) and (14, 6)
m= 1
m= 2
m=-1
m= -1
m= 10/26
Answers
Answer:
hope it helps
Step-by-step explanation:
probe algebraically that. (2n+1)^2-(2n+1) is an even number.
Answers
(2n + 1)² - (2n + 1) is an even number for all positive integral values of n.
How to simplify an expression?
Expressions are simplified when they are rewritten in a concise manner and without any similar phrases. When we combine like terms in an expression and, if necessary, solve all of the specified brackets, we are only left with unlike terms in the simplified expression that cannot be further reduced.
What is an even number?
An even number is any number that can be divided by 2 precisely. The last digit of an even number is always one of the following: 0, 2, 4, 6, or 8. Even numbers can include 2, 4, 6, 8, 10, 12, and 14. These are even numbers because they are simple to divide by two. It is important to remember that 2 is the smallest positive even natural number.
Given, the equation under consideration is y = (2n + 1)² - (2n + 1)
Upon simplifying and solving for y, we have:
y = (2n + 1)² - (2n + 1) = 4n² + 4n + 1 - 2n - 1 ⇒ y = 4n² + (4n - 2n) + (1 - 1)
⇒ y = 4n² + 2n + 0 ⇒ y = 2 (2n² + n) --(i)
On carefully analyzing (i), we can affirm that y is divisible by 2, thus confirming that (2n + 1)² - (2n + 1) is an even number for all positive integral values of n.
Therefore, (2n + 1)² - (2n + 1) is an even number for all positive integral values of n.
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i need help on this answer
Answers
The correlation coefficient "r" can take values from -1 to 1
If the correlation coefficient is less than zero, r < 0, the correlation will be considered negative.
If the correlation coefficient is greater than zero, r > 0. the correlation will be considered positive.
A correlation coefficient equal to zero, r = 0, then there is no correlation between both variables.
If the absolute value of the coefficient is less than 0.35: 0 < | r | < 0.35 → you can say that the correlation between the variables is weak or low.
If the absolute value of the coefficient is between 0.35 and 0.38: 0.35 < | r | 0.65 → you can say that the correlation between both variables is moderate.
If the absolute value of the coefficients is greater than 0.66: | r | > 0.66 → you can say that there is a strong/ high correlation between the variables.
If the absolute value of the coefficient is greater than 0.90: | r |>0.90 → You can conclude that the correlation between both variables is very high or marked.
To be able to classify the type of correlation, the first step is to calculate the correlation coefficient between both variables. You can do that manually using the formula:
[tex]r=\frac{\Sigma x_1x_2-\frac{(\Sigma x_1)(\Sigma x_2)}{n}}{\sqrt[]{\lbrack\Sigma x^2_1-\frac{(\Sigma x_1)^2}{n}\rbrack\lbrack\Sigma x^2_2-\frac{(\Sigma x_2)^2}{n}\rbrack}}[/tex]First, let's determine the sums
X₁: Height (in)
[tex]\begin{gathered} \Sigma x_1=20+30+40+40+70+90 \\ \Sigma x_1=290 \end{gathered}[/tex][tex]\begin{gathered} \Sigma x^2_1=20^2+30^2+40^2+40^2+70^2+90^2 \\ \Sigma x^2_1=17500 \end{gathered}[/tex]X₂: Length (in)
[tex]\begin{gathered} \Sigma x_2=18+16+15+16+9+4 \\ \Sigma x_2=78 \end{gathered}[/tex][tex]\begin{gathered} \Sigma x^2_2=18^2+16^2+15^2+16^2+9^2+4^2 \\ \Sigma x^2_2=1158 \end{gathered}[/tex][tex]\begin{gathered} \Sigma x_1x_2=(20\cdot18)+(30\cdot16)+(40\cdot15)+(40\cdot16)+(70\cdot9)+(90\cdot4) \\ \Sigma x_1x_2=3070 \end{gathered}[/tex]There are 5 ordered pairs, so the sample size is n=6
Replace every value on the formula:
[tex]\begin{gathered} r=\frac{3070-\frac{290\cdot78}{6}}{\sqrt[]{\lbrack17500-\frac{290^2}{6}\rbrack\lbrack1158-\frac{78^2}{6}\rbrack}} \\ r=\frac{3070-3861}{\sqrt[]{3483.33\cdot144}} \\ r=-0.99 \\ \end{gathered}[/tex]The correlation coefficient is r= -0.99
→ r is a negative value, which means that the correlation between the height and length of the rectangles is negative
→ the absolute value of the coefficient is greater than 0.90; | r | =0.99, so the correlation between both variables can be considered as a strong correlation
You can say the there is a strong negative correlation between both variables (option F)
Use the diagram below to find the area of the shaded sector
Answers
SOLUTION
We need to get the slopes of the lines A and B.
Slope of A considering the points (-4, 3) and (0, 0) which is at the origin, we have
[tex]\begin{gathered} m=\frac{0-3}{0-(-4)} \\ m=\frac{-3}{4} \\ m=-\frac{3}{4} \end{gathered}[/tex]Since line B is a horizontal line, the slope is 0.
angle between two slopes is given as
[tex]\begin{gathered} tan\theta=|\frac{m_2-m_1}{1+m_1m_2}| \\ where\text{ }\theta\text{ is the angle between them and } \\ m_1\text{ and m}_2\text{ are slopes of the line } \end{gathered}[/tex]So, we have
[tex]\begin{gathered} tan\theta=|\frac{m_2-m_1}{1+m_1m_2}| \\ tan\theta=|\frac{0-(-\frac{3}{4})}{1+0(-\frac{3}{4})}| \\ tan\theta=|\frac{\frac{3}{4}}{1}| \\ tan\theta=|\frac{3}{4}| \\ tan\theta=\frac{3}{4} \\ \theta=tan^{-1}\frac{3}{4} \\ \theta=36.86989 \\ \theta=36.87\degree \end{gathered}[/tex]Hence the angle between A and B is 36.87 degrees
Area of a sector is given as
[tex]A=\frac{\theta}{360\degree}\times\pi r^2[/tex]Note that the radius r is the length of line B, which is 5 units. So, the area becomes
[tex]\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ A=\frac{36.87}{360}\times\pi\times5^2 \\ A=8.04376\text{ units}^2 \end{gathered}[/tex]Hence the answer is 8.04 square units. The last option is the answer
Find the equation of the perpendicular bisector of the line AB with A(-2,7) and B(5,2)
Answers
Solution
Since it is a perpendicular bisector, hence point M is the midpoint
[tex]\begin{gathered} \therefore Mid\text{ point AB}=(\frac{-2+5}{2},\frac{7+2}{2}) \\ mid\text{ point=(}\frac{3}{2},\frac{9}{2}) \end{gathered}[/tex]Slope
[tex]\text{Slope (m)=}\frac{2-7}{5--2}=-\frac{5}{7}[/tex]Since they are perpendicular
[tex]\begin{gathered} m_1\times m_2=-1 \\ -\frac{5}{7}\times m_2=-1 \\ m_2=\frac{7}{5} \end{gathered}[/tex]The equation of the perpendicular bisector of the line AB with A(-2,7) and B(5,2)
[tex]\begin{gathered} y-y_1=m(x_{}-x_1) \\ y-5=\frac{7}{5}(x-2) \\ y-5=\frac{7}{5}x-\frac{14}{5} \\ y=\frac{7}{5}x-\frac{14}{5}+5 \\ y=\frac{7}{5}x+\frac{11}{5} \end{gathered}[/tex]The final answer
[tex]y=\frac{7}{5}x+\frac{11}{5}[/tex]Toby buys a new iPhone for a price of $599. What is the total amount his credit card is charged if the sales tax is 7%?
Answers
Answer:
$640.93
Step-by-step explanation:
Convert 7% into a decimal
7% = 0.07
Multiply that by $599 to get the sales tax
599(0.07) = $41.93
Add that with the $599
599 + 41.93
= $640.93Toby's credit card will get charged $640.93.
I need help check the picture
Answers
The value that does not belong in the domain of the set is 7 and the value that does not belong in the range of the set is 10.
Given set of values:-
{(2,7), (8,12), (5,9), (10,15)}
Domain : {2,5,7,8,10}
Range: {7,9,10,12,15}
We have to determine the numbers which do not belong in the domain and range of the relation.
We know that in a set of values (x,y) , x is the part of the domain and y is the part of the range.
Hence, the domain of the relation is given by:-
{2,8,5,10}
The range of the relation is given by:-
{7,12,9,15}
Hence, 7 does not belong to the domain of the set and 10 does not belong to the range of the set.
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Factor the expression using the GCF.
60−36
Answers
Answer:
12
Step-by-step explanation:
12x3=36, 12x5=60 shazam
If cos B = 7/8, then what is the positive value of tan 1/2 B, in simplest radical formwith a rational denominator?
Answers
Let us use the rule of the double of the angle
Since
[tex]\cos B=2\cos ^2\frac{B}{2}-1[/tex]Substitute cos B by 7/8
[tex]\frac{7}{8}=2\cos ^2\frac{B}{2}-1[/tex]Add 1 to both sides
[tex]\begin{gathered} \frac{7}{8}+1=2\cos ^2\frac{B}{2}-1+1 \\ \frac{15}{8}=2\cos ^2\frac{B}{2} \end{gathered}[/tex]Divide both sides by 2
[tex]\begin{gathered} \frac{\frac{15}{8}}{2}=\frac{2\cos ^2\frac{B}{2}}{2} \\ \frac{15}{16}=\cos ^2\frac{B}{2} \end{gathered}[/tex]Take a square root for both sides
[tex]\begin{gathered} \sqrt[]{\frac{15}{16}}=\cos \frac{B}{2} \\ \cos \frac{B}{2}=\frac{\sqrt[]{15}}{4} \end{gathered}[/tex]let us find sin B
Since
[tex]\sin ^2\frac{B}{2}+\cos ^2\frac{B}{2}=1[/tex]Then
[tex]\sin ^2\frac{B}{2}+\frac{15}{16}=1[/tex]Subtract 15/16 from both sides
[tex]\begin{gathered} \sin ^2\frac{B}{2}+\frac{15}{16}-\frac{15}{16}=1-\frac{15}{16} \\ \sin ^2\frac{B}{2}=\frac{1}{16} \end{gathered}[/tex]Take a square root for both sides
[tex]\begin{gathered} \sin \frac{B}{2}=\sqrt[]{\frac{1}{16}} \\ \sin \frac{B}{2}=\frac{1}{4} \end{gathered}[/tex]Since
[tex]\tan \frac{B}{2}=\frac{\sin \frac{B}{2}}{\cos \frac{B}{2}}[/tex]Then
[tex]\begin{gathered} \tan \frac{B}{2}=\frac{\frac{1}{4}}{\frac{\sqrt[]{15}}{4}} \\ \tan \frac{B}{2}=\frac{1}{\sqrt[]{15}} \end{gathered}[/tex]The value of tan(1/2 B) is
[tex]\frac{1}{\sqrt[]{15}}\times\frac{\sqrt[]{15}}{\sqrt[]{15}}=\frac{\sqrt[]{15}}{15}[/tex]can someone turn 5x + 20y = 500 into slope intercept form
Answers
Answer:
y=-1/4x+25
Step-by-step explanation:
Answer: y=-1/4x + 25
Step-by-step explanation: If you don't understand how i got this remember the formula
y = mx + b
Good luck!
A rock is thrown vertically from the ground with a velocity of 28 meters per second, and it reaches a height of -5.2t2 + 28.6t + 4 after t seconds. How many seconds after the rock is thrown will it reach maximum height?
Answers
After 2.75 seconds of motion in the upward direction, the stone will reach maximum height.
What is the general equation of a parabola?The general equation of a parabola is given by y = a(x – h)² + k or
x = a(y – k)² + h. Here (h, k) denotes the vertex
We have a rock which is thrown vertically from the ground with a velocity of 28 meters per second, and it reaches a height of -5.2t² + 28.6t + 4 after t seconds.
We have -
y = - 5.2t² + 28.6t + 4
dy/dx = - 10.4t + 28.6
For maximum height -
dy/dx = 0
- 10.4t + 28.6 = 0
28.6 = 10.4t
t = 28.6/10.4
t = 2.75 seconds
Therefore, after 2.75 seconds of motion in the upward direction, the stone will reach maximum height.
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Enter the answer in the space provided.
Consider the figure.
142
68
N
Enter the measure of anglez, in degrees, in the space provided.
Answers
Step-by-step explanation:
as simple as it sounds, we need to do a few steps to actually get the result.
first the outer angle 142° and the corresponding inner angle in the triangle are a linear pair of angles, and together they have 180°.
so, the inner angle is 180 - 142 = 38°.
then, remember, the sum of all angles in a triangle is always 180°.
so, the third inner angle is 180 - 38 - 68 = 74°
now, this third inner angle is with z (the corresponding outer angle) again a linear pair (sum 180°).
so,
z = 180 - 74 = 106°
What are the all the expressions that are equivalent to 3 3/4
Answers
Exit Ticket : Submit on Schoology Write an equations that represents the proportional relationship between the time in class x and the number of pages y. Hotebo... Create a table & graph to represent the proportional relationship. 5/29/21 Liana takes 2 pages of notes during each hour of class.
Answers
Given that;
Liana takes 2 pages of notes during each hour of class.
To write a proportional relationship, let x represent the time in class and y represent the number of pages.
[tex]y=kx[/tex]according to the question, the constant of proportionality is equal to 2. ( 2 pages per hour).
So, the equation becomes;
[tex]y=2x[/tex]Therefore, an equation to represent the proportional relationship is;
[tex]y=2x[/tex]We can represent the equation on the graph as;
We can also represent it on the table as;
[tex]\begin{gathered} x\text{ y} \\ 1\text{ 2} \\ 2\text{ 4} \\ 3\text{ 6} \\ 4\text{ 8} \\ 5\text{ 10} \end{gathered}[/tex]Where x is in hours and y is in pages.
26,862 divided by 407
Answers
Answer:
66
Step-by-step explanation:
it is 66
what is 95% of 40?part. ___ = ___. percentwhole. 100 percent
Answers
1) According to that table we can write:
40-------100
x-------95
100x = 40*95
x= 38
2) So filling in we have:
Cross multiplying it we can find that 38 is 95% of 40.
find the product(x+2)(y^2+2y-12)
Answers
Answer::
[tex]=xy^2+2xy-12x+2y^2+4y-24[/tex]Explanation:
Given the expression:
[tex]\mleft(x+2\mright)\mleft(y^2+2y-12\mright)[/tex]First, distribute the left bracket:
[tex]=x\mleft(y^2+2y-12\mright)+2\mleft(y^2+2y-12\mright)[/tex]Next, open the bracket:
[tex]=xy^2+2xy-12x+2y^2+4y-24[/tex]