After approximately 1.4 seconds will the ball reach the ground.
The relation between height and the time in seconds is,
y = -4.9x² + 9.8
Here y represent height in meters and x is time in seconds.
Let us assume that the origin is on the ground,
Now we know,
If the ball is dropped from the top at t = 0.
It will reach down to the ground after x seconds.
When it will down to the ground, and the value of y will become zero,
We can write,
y = -4.9x² + 9.8
0 = -4.9x² + 9.8
4.9x² = 9.8
x² = 2
x = √2
x = 1.41 seconds.
The time taken by ball to reach down to the ground is 1.41 seconds.
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2 Please help Anyone
Equation of the first line = [tex]y=-\frac{1}{2} x+1[/tex]
Equation of the second line = [tex]y=-\frac{5}{2} x -1[/tex]
What is the equation of the first line?
Co-ordinates of the first line (x, y) = (-2,2), (0,1), (2,0), (4,-1)
We know that,
[tex]\text{slope }=m=\frac{y_2-y_1}{x_2-x_1}\\\\= > \frac{1-2}{0+2} \\\\=-\frac{1}{2}[/tex]
The slope -intercept form of a line is given by,
y = mx + b ---(1)
Let us substitute ( x, y )= (-2, 2) in (1)
2=(-1/2)*-2+b
2-1= b
b = 1 ----(2)
Let us substitute m and b in the slope-intercept equation (1)
[tex]y=-\frac{1}{2} x+1[/tex]
What is the equation of the second line?
Co-ordinates of the second line (x, y)=(-4,9), (-2,4), (0,-1), (2,-6)
We know that,
[tex]\text{slope }=m=\frac{y_2-y_1}{x_2-x_1}\\\\= > \frac{4-9}{-2+4} \\\\=-\frac{5}{2}[/tex]
The slope -intercept form of a line is given by,
y = mx + b ---(3)
Let us substitute ( x, y )= (-4, 9) in (1)
9 = (-5/2)*-4+b
2 - 1 = b
b = - 1 ----(4)
Let us substitute m and b in the slope-intercept equation (3)
[tex]y=-\frac{5}{2} x -1[/tex]
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A teacher is buying markers. Each set of markers includes 5 markers and cost $3.00. The teacher uses a $3-off coupon toward the total cost of all the markers bought. If there is no tax added to the final cost of the markers after the coupon and the teacher paid a total of $15, how many markers did she buy?
A. 6
B. 25
C. 30
D. 35
Answer:
30 markers
Step-by-step explanation:
(15 what she spent)+(3 the 3 dollors off)=
18/(3 the price of markers)=
(6 sets)*(5 how many is in a set)=
(30 final anwser)
The equation y = 0.44x + 87 models the cost y of renting a car if the car is driven x miles.
According to the model, what is the best estimate of the cost for renting a car if you plan to drive 545 miles? Please round your answer to the nearest dollar.
if 4 years you shrink down for 1.7cm how much do you shink in year
Answer:
In a year you can shrink 0.625cm
Step-by-step explanation:
1.7/4=0.625
x =7, -2, 0, 7
y= 10,0,10,3
Is this a function?
Answer:
Yes
Step-by-step explanation:
Each x-value corresponds with only one y-value.
Find the value of x in degrees for which d//m
Answer:
x = 31
Step-by-step explanation:
87=2x-25
-25 on each side
62=2x
divide each side by 2
31=x
x=31
pls help me on this one i need them quick
The slope of the line is that passing through the points (-1,-3) and (1,3) is m = 2
From the graph, we have to find the two points to find the slope of the line
The two points are (-1,-3) and (1,1)
The slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex]
Where m is the slope of the line
[tex](x_{1} ,y_{1})[/tex] are the coordinates of first point
[tex](x_{2} ,y_{2})[/tex] are the coordinates of second point
substitute the values in the equation of slope of the line
The slope of the line m =[tex]\frac{1-(-3)}{1-(-1)}[/tex]
= 4/2
= 2
Hence, the slope of the line is that passing through the points (-1,-3) and (1,3) is m = 2
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You must cut a triangle out of a sheet of paper. The only
requirements you must follow are that one of the angles
must be 60°, the side opposite the 60° angle must be 40
centimeters and one of the other sides must be 15
centimeters. How many different triangles can you make?
1,2,3 or4?
in the graph below find the coordinates of the image point O is the origin and P is the point (1,-2) Ry and Rx are Reflections around the X & Y axis
If (1, -2) is reflected over the x-axis, then the image is (1, -(-2)) = (1, 2).
If (1, -2) is reflected over the y-axis, then the image is (-1, -2).
Then, the points are image over the x-axis is (1, 2), and the image over the y-axis is (-1,-2).
Need Help Asap Find the measure of a base angle using the Triangle Sum Theorem
Answer:
45°
Step-by-step explanation:
Given:
Angles are (5x+15)°, 3x° and 3x°.To Find:
Measure of base angle.Concept used:
Sum of all interior angles in a triangle is equal to 180° .Using the above concept, we have
5x + 15 + 3x + 3x = 180
11x = 165
x = 165/11
x = 15
So, 3x = 3*15 = 45°
So, the measure of base angle is 45°
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Base \:\: Angle=3x = 45° [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Property of Triangle : sum of all interior angles of a triangle is 180°
[tex]\qquad \tt \rightarrow \: 5x + 15 + 3x + 3x = 180[/tex]
[tex]\qquad \tt \rightarrow \: 5x + 3x + 3x + 15 = 180[/tex]
[tex]\qquad \tt \rightarrow \: 11x = 180 - 15[/tex]
[tex]\qquad \tt \rightarrow \:11 x = 165[/tex]
[tex]\qquad \tt \rightarrow \: x = 165 \div 11[/tex]
[tex]\qquad \tt \rightarrow \: x = 15[/tex]
Value of x is 15°, base angle is 3x :
[tex]\qquad \tt \rightarrow \: base \: \: angle = 3x = 3 \times 15 = 45 \degree[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer in graph form. Find 0 if cos0= 4/7 and sin0 is negative
The θ lies in the 4th quadrant of the graph.
Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry.The coordinate plane system's four quarters are referred to as quadrants. A quadrant is the name of one of the four divisions. A quadrant, or sector of 90 degrees, is the term used to describe a circle's quarter.In the question, Cosθ = 4/7 and Sinθ is negative.Cosθ is positive in the 1st and 4th quadrants.Sinθ is negative in the 3rd and 4th quadrants.Thus, θ lies in the 4th quadrant of the graph.To learn more about quadrants, visit :
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need help asap
please do it
It is to be noted that the information for the completed table is given accordingly to show the perimeters in millimeters and in centimeters.
What is a Perimeter?Perimeter simply refers to the total or sum of all the sides of a geometric shape. Note that the perimeter in units is obtained by counting the number of rectangles.
In the case of A:
Perimeter in Units = 10 Units.
Length is 60mm and width is 40mm
Perimeter = 30 + 20 + 30 + 20 = 100mm; and 10 cm
Recall that I cm = 10mm.
Hence, 100 /10 = 10 cm.
In the case of shape B:
Perimeter in Units = 41 Units.
Length is 400mm (that is 200 + 200)
Breath is 40mm (20 + 20)
Perimeter therefore is:
400 + 40 = 440mm
Perimeter in cm = 44
Recall, 10mm = 1cm
In the case of shape C:
Perimeter in Units = 36 Units.
Length is 10cm (that is 5 + 5)
Breath is 14mm (7 + 7)
Perimeter therefore is:
10+ 14 = 24cm
Perimeter in mm= 240
Recall, 10mm = 1cm
In the case of Shape D:
Perimeter in Units = 51 Units.
Length is 200mm (that is 100 + 100)
Breath is 100mm (50 + 50)
Perimeter therefore is:
200 + 100 = 300mm
Perimeter in cm= 230
Recall, 10mm = 1cm
In the case of Shape D:
Perimeter in Units = 53 Units.
Length is 260mm (that is 130 + 130)
Breath is 80mm (40 + 40)
Perimeter therefore is:
260 + 80 = 340mm
Perimeter in cm= 34
Recall, 10mm = 1cm
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Write a linear equation of a slope intercept form for a line that passes through the point (-2, 9) and has a slope of:-5/2
Answer:
[tex]y = - \frac{5}{2} x + 4[/tex]
Step-by-step explanation:
The equation of a line in slope-intercept form is given by y= mx +c, where m is the slope and c is the y-intercept.
Start with the slope when forming the equation.
Given that the slope is [tex] - \frac{5}{2} [/tex], [tex]m = - \frac{5}{2} [/tex].
Substitute the value of m into the equation:
[tex]y = - \frac{5}{2} x + c[/tex]
The value of c can be found by substituting a pair of coordinates that the line passes through.
When x= -2, y= 9,
[tex]9 = - \frac{5}{2} ( - 2) + c[/tex]
9= 5 +c
c= 9 -5
c= 4
Thus, the equation of the line is [tex]\bf{y = - \frac{5}{2} x + 4}[/tex].
Additional:
What is a linear equation?
A linear equation is one that give rise to a straight line graphIt tells us the relationship between the two variables, x and yThe variables are raised to the power of not greater than 1To learn more about equation of lines, check out: https://brainly.com/question/24436844
.the temperature is -15 degree. then the temperature is 11 degree. what is the degree warmer
Answer: 26
Step-by-step explanation:
If you take 26 minus 11 it gets you -15.
Number lines help a lot with negatives. You can also start with -15 and just start adding numbers starting at a large number and going up or down depending on you answer. Ex. -15 + 30 = 15, -15 + 25 = 10, -15 + 26 = 11.
12 = 5w - w solve for w
Answer:
w = 3
Step-by-step explanation:
12 = 5w - w = 4w ( divide both sides by 4 )
3 = w
Answer:
w=2.4
Step-by-step explanation:
12 = 5w
Divide both sides by 5.
12/5=2.4
5/5=w
2.4=w
i need help on this, thanks
Answer:
m<1 = 159° m<2 = 21° m<4 = 21°
Step-by-step explanation:
Since angle measure 3 was found, seeing that 3 and 1 are vertical angles (congruent) they equal the same, meaning angle measure 1 is also 159°. Also seeing that angle measure 3 and 2 are supplementary angles (2 or more angles that add up to 180°) subtracting 159° will give you 21°. Once again there are another set of verital angles, 2 and 4 making 4 also 21°
An artist uses a coordinate plan to create a design. As part of the design, the artist wants to Graph the point ( - 6.5, 2). How should the artist graph this point.
6.5 units to the left of the origin, and 2 units above the origin
What is coordinate plane ?A coordinate plane is a surface with two dimensions made up of two number lines. It is created when the origin, the point at which the X-axis and Y-axis cross, is reached. To locate points, one uses the numbers on a coordinate grid. A coordinate plane is useful for graphing points, lines, and many other things. It serves as a map and provides clear instructions for getting from one place to another
What are coordinates ?Coordinates are a pair of numbers that identify a specific point on a coordinate plane, often known as a grid of coordinates. The ordered pair (x, y), which corresponds to the X-coordinate and the Y-coordinate, is expressed in parenthesis and is used to identify a point in a coordinate plane. Depending on where the point is in relation to the different quadrants, these coordinates may be positive, zero, or negative.
6.5 units to the left of the origin, and 2 units above the origin
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two rival dry cleaners both advertise their prices.store a´s prices are modeled by the
expression 20x-8,where x is the number of items brought in.store Bs pricesare modeled by the expression 5(4x+4),where x is the number of items brought in.when do the two stores charge the same rate?select the correct choise below and ,if necessary,fill in the answer to complete your choise.
A) The two stores charge the same when_______items are brought in.
B) The two stores always charge the same rate.
C) The two stores never charge the same rate.
C) The two stores never charge the same rate as per the cost expression of store A and store B.
The each expression of store A and store B represent the total cost charged by them based on the number of items bought. The mentioned expressions will be equated when assuming their total cost to be same. Thus, equating the the expressions.
20x - 8 = 5 (4x + 4)
Performing multiplication on Right Hand Side of the equation
20x - 8 = 20x + 20
Since 20x is present on both the sides, it will be cancelled. The remaining expression will be :
8 = 20, which is a false case as 8 is not equal to 20.
Thus, the equation has no solution and hence, the two stores will never charge the same rate, no matter how many items are bought.
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help pls giving 20 points
Answer:
A
Step-by-step explanation:
On a number line, I would start at 32 and then go left on the number line 17 spaces. This would land me at positive 15.
c. What is -3-6? What does that tell you about how many points Soledad has after the next round?
Step-by-step explanation:
i.)add 3 in 6 which = 9
ii.) follow the negative sign of the larger value which now ur finally answer is -9
increase 35 %of 78 please help me out
35% more than 78?
35% of 78;
78 x .35 = 27.3
78 + 27.3 = 105.3
A certain grocery store charges a fee of
3% of the total bill to have groceries
delivered. What is the total price the store
charges to deliver $140 worth of groceries
C $144.20
D $140.42
A $154.42
B $149.80
For groceries to be delivered, one particular grocery store charges 3% of the whole purchase price. The total price the store charges to deliver $140 worth of groceries will be $144.20.
What do you mean by percentage?A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Although abbreviations "pct.", "pct.", and occasionally "pc" are also used, percent symbol, "%," is frequently used to indicate it. A % lacks dimensions and has no associated unit of measurement.
It should be mentioned that a certain grocery store charges a delivery fee equal to 3% of the entire purchase price.
Consequently, the following is the total the store will charge to deliver $140 worth of groceries:
= Percentage charged × Cost+ Cost
= 3% × $140+$140
= 0.03 × $140+$140
= $4.20+$140
The amount charged is $144.20.
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Brayden deposited $2700 into a savings account that has an annual simple interest rate of 0.3%. find the amount in the savings account after each number of years.
The principal plus interest which gives the amount in the account after each year are;
First year, $2,708.7Second year, $2,717.4Third year, $2,726.1Fourth year, $2,734.8Fifth year, $2,743.5What is a simple interest applied to an amount?Simple interest is the product of the principal amount, the rate and the time of investment
The amount Brayden deposited in the savings account, P= $2,700
The interest on savings account, R = 0.3% simple interest
The simple interest formula is, I = P•R•T
The interest in the account after each year is therefore;
1st year = $2,700×0.3%×1 = $8.7
The interest in 2 years, I = 2×$8.7 = $17.4
3 years, I = $8.7 × 3 = $26.1
4 years, I = $8.7 × 4 = $34.8
5 years, I = $8.7 × 5 = $43.5
The amount in the account after each of the 5 years are therefore;
1st year, A = $2,700 + $8.7 = $2,708.7
2nd year, A = $2,700 + $17.4 = $2,717.4
3rd year, A = $2,700 + $26.1 = $2,726.1
4th year, A = $2,700 + $34.8 = $2,734.8
5th year, A = $2,700 + $43.5 = $2,743.5
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Estimate 0.046138792 to the nearest hundredth. Express your answer as a single digit time power of ten.
The value of 0.046138792 estimated to the nearest hundredth is 0.05 and can be expressed in the form [tex]5*10^{-2}[/tex].
This is a question of place values.
Given number:-
0.046138792
We have to estimate the given number to the nearest hundredth. Also, we have to express the answer as a single digit to power of ten.
In the given number, we can see that,
After decimal,
tenth digit is 0
hundredth digit is 4
thousandth digit is 6
and so on.
We have to limit our answer till hundredth digit.
As thousandth digit is 6 we will estimate the number as 0.05.
Now,
0.05 = 5/100
= [tex]\frac{5}{10^2} = 5*10^{-2}[/tex]
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8. Find the greatest number which exactly divides 48 and 140.
Answer:
4
Step-by-step explanation:
Greatest Common Factor or Divisor is 4, because it is the greatest number that divides evenly into all of them.
Hope this helps! :)
"Le Sage" Restaurant charges one price for adults and another for children for their buffet dinner. Raj's family has two adults and three children and their bill was $57 without taxes. Eman's family consists of 3 adults and 2 children and their bill was $63 without taxes. What is the cost of the buffet for an adult and for a child.
Answer:
5763 is the answer because 57 plus 63
Which number is NOT a perfect square?
9
1
4
2
Answer:
2
Step-by-step explanation:
A perfect square is the product of a number multiplied by itself.
So, 9 would be 3 x 3 so that's a perfect square.
1 is 1 x 1, so that is a perfect square.
4 is 2x2, so that is a perfect square.
2 does not have a number that multiplies by itself to equal 2, so it is not a perfect square.
Answer:
d) 2
Step-by-step explanation:
Now we have to,
→ find which is not a perfect square.
Let's solve the problem,
→ √9 = 3
→ √1 = 1
→ √4 = 2
→ √2 = 1.415
Hence, 2 is not a perfect square.
2 Find x and y
130⁰ answer
Answer: x = 80°, y = 50°
Step-by-step explanation:
We have an isosceles triangle.
As you can see, 130° lies on a straight line. A straight line = 180°.
The base angles of an isosceles triangle are equal. This means 180° - 130° = y.
So, y = 50°.
The total measures of any triangle is 180 degrees.
The total measure for the base angles here 100 degrees. That is, 50° + 50° =
100°.
How do we find x?
x = 180° - 100
x = 80°
Use the given information determin which lines if any in the figure to the right of the parallel justify each conclusion with a theorem or postulate
Given <2 is supplementary to <3 Because it's given that to a supplementary to 3 lines ______ Are parallel by the ______
Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.
What are supplementary angles?Two Angle whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
If ∠ 8 is supplementary to ∠ 9, then line x and y must be parallel lines wheres line s is the transverse line.
∠ 7 = ∠ 4.
Now, ∠ 7 = ∠ 2 and ∠ 4 = ∠ 9.
So, ∠ 2 = ∠ 3 {supplementary angles}
Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.
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20 points. Someone please help
Step-by-step explanation:
[tex](4(2) \: - 6(7) \: 5(1)) \\( 2( - 1) \: 4(5) \: - 1(2) ) \\ (8 \: - 42 \: \: 5 \\ - 2 \: \: \: 20 \: \: - 2)[/tex]