Answer:
t=4.19 seconds
Step-by-step explanation:
Distance varies directly with the square of the time of the fall
It means,
D=kt^2
18ft in 2 seconds
D=kt^2
18=k*2^2
18=4k
k=18/4
=9/2
k=9/2
D=kt^2
D=79feet
79=9/2t^2
t^2=79÷9/2
t^2=79×2/9
=158/9
t=√158/√9
t=12.57/3
t=4.19 seconds
Which of the following equations have infinitely many solutions? Choose all answers that apply: (Choice A) A 76x+76=-76x+7676x+76=−76x+7676, x, plus, 76, equals, minus, 76, x, plus, 76 (Choice B) B 76x+76=76x+7676x+76=76x+7676, x, plus, 76, equals, 76, x, plus, 76 (Choice C) C -76x+76=-76x+76−76x+76=−76x+76minus, 76, x, plus, 76, equals, minus, 76, x, plus, 76 (Choice D) D -76x+76=76x+76−76x+76=76x+76
Answer:
−76x+76=−76x+76 and 76x+76=76x+76
A magician asks two volunteers to each draw a card from a standard deck of cards. What is the probability that the first card is a heart and the second card is a dimand?
Answer:
The probability of choosing a heart, P(Heart) = 13/52 = 0.25
Step-by-step explanation:
help quick plz must get this correct I will make u a brainllest
Answer:
CPCTC
Step-by-step explanation:
You already proved that triangle BAD is congruent to CAD, this means that all of the corresponding angles and sides with be congruent (CPCTC). That means BD is congruent to CD. Hope this helps!
Please show your work! *grade 9 work*
Answer:
c = 6√2 cm
Step-by-step explanation:
a² + b² = c²
6² + 6² = c²
36 + 36 = c²
108 = c²
c = ± √108 = ± 6√2
Since the side length of a triangle can't be negative, c = -6√2 is an extraneous solution; therefore the answer is c = 6√2.
Answer:
72 cm or 6 square root of 2
Step-by-step explanation:
a^2+b^2=c^2
6^2+6^2=c^2
36+36=72
c= 72 cm. or 6 square root of 2
hope this helps.
answer me step by step
if don't I will report you
Kite E F G H is inscribed within a rectangle. Points F and H are midpoints of the sides of the rectangle. Points E and G are parallel to the side of the rectangle.
Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.
Which statement describes how the location of segment EG affects the area of EFGH?
The area of EFGH is One-fourth of the area of the rectangle if E and G are not midpoints.
The area of EFGH is One-half of the area of the rectangle only if E and G are midpoints.
The area of EFGH is always One-half of the area of the rectangle.
The area of EFGH is always One-fourth of the area of the rectangle.
Answer:
The area of EFGH is always One-half of the area of the rectangle.Step-by-step explanation:
If F and H are midpoints of sides of rectangle then FH is parallel to the other side of rectangle so FH is perpendicular to the EG. That means the lenght of FH is equal to lenght of rectangle, and the lenght of EG is equal to width of rectangle.
So the area of the rectangle: [tex]A_{rectangle}=EG\cdot FH[/tex]
FH ⊥ EG so the area of quadrangle EFGH:
[tex]A_{_{EFGH}}=\frac12EG\cdot FH=\frac12A_{rectangle}[/tex]
no matter the location of segment EG
The area of EFGH is always One-half of the area of the rectangle.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We have given that;
the kite EFGH is inscribed in a triangle and F and H are midpoints and EG is parallel to the side of rectangle.
The kite consists of 2 triangle that are EFG and EHG.
Now,
In a triangle EFG is,
= 1/2 x EG x h......(1)
where h is the height from F to EG
Also the area of EHG:
= 1/2 x EG x h₁
where is the height from H to EG
We also know that h₁ + h is the width of the rectangle and EG is the length of the rectangles.
Area of Kite = = 1/2 x EG x h + 1/2 x EG x h₁
Also, The area of a rectangle is rectangle length × rectangle width.
Thus, The Kite EFGH is inscribed in a rectangle such that F and H are midpoints and EG is parallel to the side of the rectangle.
Hence, The statement describes how the location of segment EG affects the area of EFGH is the area of EFGH is always One-half of the area of the rectangle.
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Help please ?
Solve 2x - 5 = 7
Answer:
x = 6
Step-by-step explanation:
2x - 5 = 7
Add 5 on both sides.
2x - 5 + 5 = 7 + 5
2x = 12
Divide both sides by 2.
2x/2 = 12/2
x = 6
A teacher covered the exterior of a rectangular prism-shaped box that measured 8 inches by 9 inches by 10 inches using one sheet of rectangular-shaped wrapping paper that measured 2 feet by 3 feet. There were no gaps or overlapping paper. How many square inches of wrapping paper were left over? Choose an answer
Answer:
380 square inches
Step-by-step explanation:
We are given the measurements of the Rectangular Prism as
8 inches by 9 inches by 10 inches
Where based on the order of arrangement:
8 inches = Length
9 inches= Width
10 inches = Height
Step 1
Find the amount of wrapping paper needed
Perimeter = 2L + 2W
= 2 × 8 + 2 ×9
= 16 + 18
= 34 inches
Base = L × W
= 8 × 9
= 72 inches
Surface Area of the Rectangular Prism =PH + 2B
Where P = Perimeter
H = Height
B = Base
= 34 × 10 + 2× 72
= 340 + 144
= 484 square inches
The area of the Rectangular prism = 484 square inches
Step 2
So we were told that she used wrapping paper the measured 2 feet by 3 feet.
We would convert the values in feet to inches
1 ft = 12 inches
Length = 2 ft = 2 × 12 = 24 inches
Width = 3 ft = 3 × 12 = 36 inches
We find the area of the wrapping paper
Length × Width = 24inches × 36 inches = 864 square inches.
Step 3
The amount of square inches of wrapping paper left over is calculated as:
Area of the wrapping paper used - Area of the Rectangular prism
= 864 square inches - 484 square inches
= 380 square inches.
Therefore, the amount of square inches of wrapping paper left over is 380 square inches.
1/8+c=4/5 what is c? please answer urgent!!!
Answer:
Step-by-step explanation:
1/8 + c = 4/5
c = 4/5 - 1/8
c = 4/5 × 8/8 - 1/8 × 5/5
= 32+5 / 40
= 37/40
Hope this helps
plz mark as brainliest!!!!!!
Determine the slope of the line that contains the points of (-9,5) and (6,-5)
Answer:
[tex]\bold{m=-\dfrac23}[/tex]
Step-by-step explanation:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-9,\,5)\ \implies\ x_1=-9\,,\ y_1=5\\(6,\,-5)\ \implies\ x_2=6\,,\ y_2=-5\\\\m=\dfrac{-5-5}{6-(-9)}=\dfrac{-10}{6+9}=-\dfrac{10}{15}=-\dfrac23[/tex]
ASAP What is a downside of receiving a tax refund?
Answer:
You've given Uncle Sam an interest-free loan of your money for a full year. ... If you had received your expected refund incrementally as part of your pay, you could have used it to pay bills, start an emergency fund or save for something special.You are at the mercy of the IRS, which already is at the mercy of a frequently late-acting Congress when it comes to tax laws. If Congress and the IRS are slow, then so is your receipt of your refund.
what is the explicit formula for this sequence -1,4,-16,64
Answer:
The answer is c.
Step-by-step explanation:
[tex]a_{1} =-1*(-4)x^{n-1}[/tex]
[tex]a_{1} =-1(-4)^{1-1}[/tex]
[tex]a_{1} =-1(-4)^{2} \\a_{1} =-1(1)\\a_{1} =-1[/tex][tex]a_{2} =-1(-4)^{2-1} \\a_{2} =-1(-4)^{1} \\a_{2} =-1(-4)\\a_{2}=4[/tex][tex]a_{3}=-1(-4)^{3-1} \\a_{3}=-1(-4)^{2} \\a_{3}=-1(16)\\a_{3}=-16[/tex]
Given that ƒ(x) = 4x + 5 and g(x) = x2 – 2x – 2, find (ƒ + g)(x).
Answer:
x² + 2x + 3
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), thus
f(x) + g(x)
= 4x + 5 + x² - 2x - 2 ← collect like terms
= x² + 2x + 3
Find the value of tanθ in the figure below
Answer:
tanΘ = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
Select the correct answer.
A particular strain of a common bacteria replicates itself every 14 minutes. Which of the following does this situation represent
Answer:
c
Step-by-step explanation:
Answer:
Both a relation and a function
Step-by-step explanation:
Replicates itself every 14 minutes, which is exponential function
The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was per hour. The water output rate for the Perry family's sprinkler was per hour. The families used their sprinklers for a combined total of hours, resulting in a total water output of . How long was each sprinkler used
The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used
Answer:
Hours of use of sprinkler by Lewis family is 30 hours.
Hours of use of sprinkler by Perry family is 35 hours.
Step-by-step explanation:
Let W = hours of use by Lewis family
65 - W = hours of use by Perry family
Then;
15W + 40*(65 - W) = 1850
15W + 2600 - 40W = 1850
(15 - 40)W = 1850 - 2600
-25W = −750
W = 750/25 = 30
Therefore;
W = 30
65 - W = 65 - 30 = 35
Hence,
Hours of use by Lewis family is 30 hours.
Hours of use by Perry family is 35 hours.
Geometry
A.)10 units
B.)17 units
C.)14 units
D.)7 units
Answer:
14 units
Step-by-step explanation:
All we have to pay attention to in this problem is B, so we can ignore the rest of the triangle. B is 5 units directly to the left of line l, meaning that B' must be 5 units to the right of line l. This would put B' 2 units to the left of line m. That means that B" would be 2 unit to the right of line m, as that is how reflections work. Adding up all of the difference in units you have a 10 unit shift from B to B', and then a 4 unit shift from B' to B". Now adding 4+10=14 units.
Complete the table of values for y=x^2-2x+5 (see table in comments)
Step-by-step explanation:
Plug in each value of x into the equation and find y:
[tex]\left[\begin{array}{cc}x&y\\-2&(-2)^{2}-2(-2)+5=13\\-1&(-1)^{2}-2(-1)+5=8\\0&(0)^{2}-2(0)+5=5\\1&(1)^{2}-2(1)+5=4\\2&(2)^{2}-2(2)+5=5\\3&(3)^{2}-2(3)+5=8\end{array}\right][/tex]
I need help on this please
Answer:
[tex]y=\frac{5}{6}x+5[/tex]
Step-by-step explanation:
Well this is actually really simple we just have to look at the line and see what attributes it has so we can make an equation.
So slope intercept form is [tex]y=mx+b[/tex].
Like to find the y intercept we know it is the point that the line touches the y axis which is 5.
Now for the slope, the slope is how far each points are from each other on a line so to find the slope we can use the following formula [tex]\frac{y^2-y^1}{x^2-x^1}[/tex].
So to do this we need two points that are on the line we can use (-6,0) and (6,10).
So y2 is 10 and y1 is 0 so 10-0 is 10 and 6 - -6 is 12 so the slope is 10/12 and we have to simplify it to 5/6 so the slope is 5/6 and now we have to put it in slope intercept -> [tex]y=\frac{5}{6}x+5[/tex]
When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer
False
True
Answer:
False
Step-by-step explanation:
If you were to divide a negative number by a negative number, or multiply a negative number by a negative number, you would change the sign to positive as two negatives make a positive.
Answer:
False
Step-by-step explanation:
if you multiply two negative integers, you will get a positive result
For example
(-1) x (-2) = 2 (the sign of the answer is different from the sign of the two negative integers that we multiplied)
which point is a solution to the inequality shown in this graph? A. (0,-5) B. (-3,0) C. (0,0) D. (5,-5)
Point (-3, 0) is required solution to the inequality. Hence option B. is correct.
What is inequality?Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.
As from graph,
The inequality can be define as -[tex]y > \frac{4}{3}x+4[/tex]
And the point(-3, 0) lies on the boundary line.
Which gives the solution to the given inequality.
Thus, point (-3, 0) is required solution to the inequality.
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Figure ABCD is a rectangle find the value of x
Answer:
8
Step-by-step explanation:
BD is 32 units.
BE is half of BD
3x - 8 = 32/2
3x - 8 = 16
3x = 16 + 8
3x = 24
3/3x = 24/3
x = 8
Answer:
8Solution,
Diagonals of rectangle bisects each other.so,
2 BE = BD
2( 3x - 8 ) = 32
6x - 16 = 32
Add 16 on both sides
6x - 16 + 16 = 32 + 16
Simplify
6x = 48
divide both sides of equation by 6
6x/6 = 48/6
calculate
X = 8
Hope this helps...
Good luck on your assignment..
Which graph represents this system? y = one-half x + 3. y = three-halves x minus 1 On a coordinate plane, a line goes through (0, 3) and (4, 5) and another goes through (0, negative 1) and (2, 2). On a coordinate plane, a line goes through (0, 3) and (1, negative 3) and another goes through (0, negative 1) and (3, 1). On a coordinate plane, a line goes through (negative 1, negative 2) and (1, 4) and another goes through (0, 1.5) and (1.5, 0). On a coordinate plane, a line goes through (negative 3, negative 3) and (0, 3) and another goes through (0, negative 1) and (3, 1).
Answer:
it is A or the first one
Step-by-step explanation:
The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5), Option A.
Two equation of lines is given y = 1/2x + 3 and y = 3/2x - 1.
A graph to be identified showing the coordinate.
A line can be defined by a shortest distance between two points is called as a line.
Here, slope of equations of lines y = 1/2x + 3 and y = 3/2x - 1 are 1/2 and 3/2 and intercept is 3 and -1 now matching this with option we identified option A contains both the lines and passes by (0, 3) and (4, 5).
Thus, The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5) ,Option A.
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the picture is the qestion
Answer:
The answer is option D.
Step-by-step explanation:
Because -3/-5 = 3/5 since the negative sign cancel each other.
Hope this helps you
Answer:
The fourth option
Step-by-step explanation:
-3/5 is the same as - 3/5 or 3/-5 (it doesn't matter where the negative sign goes-on the side, numerator, or denominator)
-(-3/-5) is basically negative of -3/-5
-3/-5 is the not the same as -3/5
Tico’s Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco truck’s owner decides to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7. The owner can calculate the daily revenue using the polynomial expression -7x2 + 32x + 240, where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents. Part D: What are some advantages of writing the polynomial expression -7x2 + 32x + 240 in factored form when interpreting this situation?
Answer:
The constant term is 240. It represents the initial daily revenue.
Step-by-step explanation:
It is given that Tico's Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits.
The owner can calculate the daily revenue using the polynomial expression
where x is the number of $1 increases in the taco price.
Constant term does not contain any variable.
In the given expression 240 is free from variable x. So, the constant term is 240.
The value of expression is 240 for x=0. Since x is the number of $1 increases in the taco price, therefore 240 is the daily revenue when the taco price is not increased or the taco price increased by 0.
Therefore the constant term is 240 and it represents the initial daily revenue.
PLEASE HELP ASAP THIS IS TIMED. If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)? On a coordinate plane, a straight line with a negative slope crosses the y-axis at (0, 5) and crosses the x-axis at (1, 0). On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 4), has a vertex at (0, 5), and goes through (2, negative 2) On a coordinate plane, a parabola opens up. It goes through (negative 3, 7), has a vertex at (negative 1, 2), and goes through (0, 5). On a coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)
Answer:
4th Graph
Step-by-step explanation:
Step 1: Find (f + g)(x)
-x² + 3x + 5 + x² + 2x
3x + 5 + 2x
5x + 5
Step 2: Graph
Answer:
option d on edge trash
Step-by-step explanation:
the denominator of a fraction is 2 more than its numerator.when both the numerator and the denominator are increased by 3,the fraction is increased by 3/20.Find the original fraction given that both the numerator and denominator are positive integers
Answer: 3/5
Step-by-step explanation:
[tex]\dfrac{a}{a+2}+\dfrac{3}{20}=\dfrac{a+3}{(a+2)+3}\\\\\\\dfrac{a}{a+2}\bigg(\dfrac{20}{20}\bigg)+\dfrac{3}{20}\bigg(\dfrac{a+2}{a+2}\bigg)=\dfrac{a+3}{a+5}\\\\\\\dfrac{23a+6}{20(a+2)}=\dfrac{a+3}{a+5}\\\\\\(23a+6)(a+5)=20(a+2)(a+3)\\\\\\23a^2+121a+30=20a^2+100a+120\\\\\\3a^2+21a-90=0\\\\\\a^2+7a-30=0\\\\\\(a+10)(a-3)=0\\\\\\a=-10\quad a=3[/tex]
Since "a" is a positive integer, disregard a = -10
So the only valid answer is a=3 → a+2=5
[tex]\dfrac{a}{a+2}=\large\boxed{\dfrac{3}{5}}[/tex]
Estimate $10.01 + $7.07 using front-end estimation.
Answer:
17
Step-by-step explanation:
You would make the 10.01 a 10 and the 7.07 a 7.
Which composition of transformations will create a pair of similar, not congruent triangles?
a rotation, then a reflection
a translation, then a rotation
a reflection, then a translation
a rotation, then a dilation
Based on the information given, the composition of transformations that will bring about a pair of similar, not congruent triangles is D. a rotation, then a dilation.
What is a congruent triangle?A congruent triangle simply means when two triangles have exactly the same side and angles.
Therefore, the composition of transformations that will bring about a pair of similar, not congruent triangles is a rotation, then a dilation.
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A bus needs to cover a distance of 240 km in less than 5 hours. Which of the following inequality represents the speed (s) of the bus?.
Answer:
Step-by-step explanation:
Let s represent the speed of the bus.
From the information given, the bus needs to cover a distance of 240 km in less than 5 hours. The formula for calculating the speed of the bus, s is expressed as
Speed, s = distance covered by the bus/ time taken to cover the distance
Therefore,
Speed, s = 240/5 = 48 km/hr
A higher speed would ensure the bus covers the distance in less than 5 hours. Therefore, the inequality that represents the speed (s) of the bus would be
s ≥ 48