Answer:
3 seconds
Step-by-step explanation:
Given the function :
h(t) = 16t2 - 144.
h = height = 144 and t = time after t seconds the ball penny was dropped.
When the penny lands, h = 0
Therefore, our function becomes ;
16t2 - 144 = 0
The we can solve for t
16t^2 - 144 = 0
16t^2 = 144
Divide both sides by 16
(16t^2 / 16) = 144 / 16
t^2 = 9
Take the square root of both sides
t = 3
Therefore, the time between when the rock was dropped and when it landed is 3seconds
Answer:
t = 3 seconds
Step-by-step explanation:
Figure ABCD is a parallelogram. Parallelogram A B C D is shown. Angle A is (4 p + 12) degrees and angle C is 36 degrees. What is the value of p? 6
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
i checked on edge
2^2(3-8)÷5-1 please help
Answer:
-5
Step-by-step explanation:
2^2*(3-8)÷5-1
4*(-5)÷4
-20÷4
=-5
Answer:
-5
Step-by-step explanation:
Firstly 2^2=4, 4(3-8)=4*(-5)= -20, -20/5 -1= -4-1= -5
expand the following (x+3)(x-3)
Answer:
x² - 9
Step-by-step explanation:
Given
(x + 3)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 3(x - 3) ← distribute both parenthesis
= x² - 3x + 3x - 9 ← collect like terms
= x² - 9
Answer:
x² - 9Step-by-step explanation:
[tex](x + 3)(x - 3)[/tex]
Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )
[tex]x(x - 3) + 3(x - 3)[/tex]
Calculate the product
[tex] {x}^{2} - 3x + 3x - 3 \times 3[/tex]
Multiply the numbers
[tex] {x}^{2} - 3x + 3x - 9[/tex]
Since two opposites add up to zero, remove them from the expression
[tex] {x}^{2} - 9[/tex]
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A game is played with a played pentagonal spinner with sides marked 1 to 5. The scorer is on the side which comes to rest on the table. In two spins what is the probability of getting two 5s, at least one 5, a total score of 5, a total score greater than 5.
Answer:
There are four possible outcomes for each spin: red, blue, yellow, green.
Represent the expression
(4 x 1,000) + (3 x 100) + (6 x
1/100) + (7x1/1000)
as a decimal number.
Work Shown:
4*1000 = 4000 = 4 thousand
3*100 = 300 = 3 hundred
6 * (1/100) = 0.06 = 6 hundredths
7 * (1/1000) = 0.007 = 7 thousandths
add up the results
4000 + 300 + 0.06 + 0.007 = 4300.067
The expression (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000) in simplified as the decimal number 4,300.067.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000)
Simplify the expression, then we have
⇒ 4,000 + 300 + 0.06 + 0.007
⇒ 4,300.067
The expression (4 x 1,000) + (3 x 100) + (6 x 1 / 100) + (7 x 1 / 1000) in simplified as the decimal number 4,300.067.
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
9/13
Step-by-step explanation:
rise = y₂ - y₁ = -1 - (-10) = -1 + 10 = 9
run = x₂ - x₁ = 9 - (-4) = 9 + 4 = 13
Step-by-step explanation:
Help please!Thank you
Answer:
f. 85
Step-by-step explanation:
All triangles add up to 180 degrees
BCE=25
then you need to find DBC, you can do that since ABD is isocilies that means all sides are equal in length and angle so 180 divided by 3 (number of side) is 60
isoceles triangle have 2 sides that are equiangular, cince we know BCA is 25 we also know BAC is 25, leaving angle ABC to be 130 (180-50=130)
we subtract angle ABD from angle ABC to get angle DBC, leaving angle DBC to equal 70 degrees
since 70 (angle DBC) + 25 (Angel BCA)= 95
we just subtrract 95 from 180 to get the answer 85 (:
Answer:
85 degrees
Step-by-step explanation:
if Δ ABD is equilateral then the 3 sides and three angles are equal
sum of angles of Δ=180
180/3=60 degrees (∠A,∠B,∠D)
ΔBCA is isosceles then the two angles A and C are equal = 25
∠B=180-50=130
∠B in Δ BEC=130-60=70
∠E+∠B+∠C in Δ BEC=180
∠E= 180-70-25=85 degrees
I need someone to answer this immediately please. ... The area of a piece of land is 50cm square. Fi d the value of x, if the length
and breadth are given as (x+2) and (x-3)m respectively
options. A. 3
B. 5
C. 7
D. 8
Answer:
x=8
Step-by-step explanation:
Area is equal to
A = l * w
50 = ( x+2) ( x-3)
FOIL
50 = x^2 -3x+2x -6
Combine like terms
50 = x^2 -x -6
Subtract 50 from each side
0 = x^2 -x -56
Factor
What two numbers multiply to -56 and add to -1
-8*7 = -56
-8+7 = -1
0 = ( x-8) ( x+7)
Using the zero product property
x-8 =0 x+7 =0
x = 8 x=-7
Since the length cannot be negative x cannot be negative
x=8
Answer:
8
Step-by-step explanation:
put the 50 under area and continue with like that
Can someone tell me the answer it would really help 3(x−2)+1 =
Step-by-step explanation:
3(x-2)+1
= 3x-6+1
= 3x-5
Answer:
Step-by-step explanation:
3(x-2)+1=
Then distribute, and now you get:
3x-6+1=
Now combine like terms, and now you get:
3x-5=
There is nothing much to do because there isn't a answer for it
One afternoon Anne leave her house and walk 5 blocks north to the post office then she walk 2 blocks north to the bank finally she walk 3 blocks south to the coffee shop were is the coffee shop relative to her house
Answer:
B
Step-by-step explanation:
What is the vertex on the graph of the absolute-value parent function?
Answer:
The highest or the lowest point on the graph is the vertex of an absolute-value function!
Step-by-step explanation:
Coffee is sold in two different sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger canister is double the size of the small canister. Calculate the volume and surface area of each canister and compare the results of doubling the dimensions.
Answer:
volume 1 =763 cm3
volume 2 = 6,104 cm3
Second volume is 8 times greater than the first volume.
Surface area 1 = 466 cm2
surface area 2 =1,865 cm2
second surface area is 4 times greater than the first surface area .
Step-by-step explanation:
Volume of a cylinder: π radius^2 x height
Radius = diameter /2 = 9/2 = 4.5
V = 3.14 x 4.5^2 x 12 = 763 cm3
Surface area: (3.14 r^2)2 + 2(π x radius x height)
Sa = (3.14 x 4.5^2 )2 + 2(3.14 x 4.5 x 12 )=466 cm2
Since the second canister is double the size:
Radius = 4.5 x 2 = 9
Height = 12 x 2 =24
V = 3.14 x 9^2 x 24 = 6,104 cm3
Sa = (3.14 x 9^2 )2 + 2(3.14 x 9 x 24 )=1,865 cm2
Dividing the second volume by the first one:
6,104/ 763 = 8
Second volume is 8 times greater than the first volume.
Dividing the second surface area by the first one:
1865/466 = 4
second surface area is 4 times greater than the first surface area .
Which of the following is NOT a trig function OR an inverse? a COT b TON c SIN d COS
Answer:
B
Step-by-step explanation:
A nice way to remember the normal trig functions and what they stand for is with SOH CAH TOA, where S represents the Sin, C represents the Cos, and T represents tan. Note: those are only abbreviations of the actual words.
I don't know a way to remember the names of the inverse trig functions, but they are Csc, sec, and cot.
Looking at all of the options, only TON does not fit the bill, so that's the answer.
Plz Which of these graphs represents a function?
Answer:
x.
Step-by-step explanation:
you know that x is a function because for one x-value there is only one possible y-value
Answer: X
Step-by-step explanation:
x because it doesn't fail the vertical line test
I need your help with this question please explain why and show work.
Answer:
1
Step-by-step explanation:
y=2x+3, 2x represents the slope of the line and 3 represents the y-intercept
i. For any uniform probability distribution, the mean and standard deviation can be computed by knowing the maximum and minimum values of the random variable.
a) true
b) false
ii. In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values.
a) true
b) false
iii. The uniform probability distribution's shape is a rectangle
a) true
b) false
Answer: I. True
II. True
III. True
Step-by-step explanation:
Uniform probability distributions, this are probability distributions which have equally likely outcomes. There are two known types of uniform distributions:
1. discrete
2. continuous.
In the first type of distribution, each outcome is discrete. In a continuous distribution, outcomes are continuous this means they are usually infinite.
Can any kind soul help me
Answer:
a) 4.50m/s²
b) v= 21
c) 11.25m/s
Step-by-step explanation:
a) rate of change of speed in first 2 seconds
= gradient of graph from t=0s to t=2s
The two points are (0,0) and (2,9).
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Rate of change of speed
[tex] = \frac{9 - 0}{2 - 0} \\ = \frac{9}{2} \\ = 4.50m/ {s}^{2} [/tex]
Total distance= area under graph
Distance travelled for first 6s
= area of traingle +area of rectangle
= ½(2)(9) +(6-2)(9)
= 9 + 4(9)
= 9 +36
= 45m
Distance travelled from t=6s to t=12s
= 135 -45
= 90m
Area under graph from t=6s to t=12s =90
Area of trapezium= 90
½(A +B)(h)= 90
½(9+ v)(6)= 90
3(9 +v)= 90 (simplify)
9 +v= 30 (÷3 throughout)
v= 30 -9
v= 21
c) Average speed
= total distance ÷total time
= 135 ÷12
= 11.25 m/s
En un colegio, dos séptimos de total de los estudiantes asisten al taller de escultura, un décimo al taller de guitarra y dos quintos al taller de computación. ¿Qué fracción del total de los estudiantes no asiste a estos talleres?
Answer:
3/14
Step-by-step explanation:
En esta pregunta, nos preocupa calcular la fracción de los estudiantes que no asisten a los talleres.
Para obtener la fracción que no asiste a los talleres, lo que debemos hacer es sumar las fracciones de cada uno de los talleres y restar el total de 1.
Matemáticamente eso sería;
1- (2/7 + 1/10 + 2/5)
Agregando los términos en el paréntesis, tenemos;
(20+ 7 + 28) / 70 = 55/70 = 11/14
Restando esto de 1, tenemos; 1-11 / 14 = 3/14
Dax is buying coffee for 5 5 people in his office. He also leaves a $2.00 $ 2.00 tip for the barista. If his total, with tip, is $18.25, $ 18.25 , how much is each cup of coffee, not including the tip? Enter your answer as a decimal, like this: 42.53
Answer:
$3.25
Step-by-step explanation:
To get the price of one cup of coffee without including Dax's two dollar tip, the first step is to subtract 2 from 18.25.
18.25 - 2= 16.25
16.25 is price of the five cups of coffee that Dax bought without the two dollar tip. The final step is to get the price of one cup of coffee which is basically:
16.25 ÷ 5 = 3.25
The cost of each cup of coffee is $3.25.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
To get the price of one cup of coffee without including Dax's two-dollar tip, the first step is to subtract 2 from 18.25.
18.25 - 2= 16.25
16.25 is the price of the five cups of coffee that Dax bought without the two-dollar tip. The final step is to get the price of one cup of coffee which is basically:
16.25 ÷ 5 = $3.25
Hence, the cost will be $3.25.
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Rearrange this formula Α= πr2 for the area of a circle to solve for r in-terms of A.
What is the new formula?
Answer:
sqrt( A / pi ) =r
Step-by-step explanation:
Α= pi r^2
Divide each side by pi
A / pi = r^2
Take the square root of each side
sqrt( A / pi ) = sqrt(r^2)
sqrt( A / pi ) =r
Answer: A/2pi = r
all you have to do is single out the r to get the new equation
find the coordinates of the point satisfying lying on x axis at a distance of 5 units to the right of x axis lying on y axis at a distance of 3 units below the orgin
Answer:
(5, -3)
Step-by-step explanation:
Coordinates are located on Cartesian planes (more like locating a point on a graph). Cartesian coordinates can be two dimensional or three dimensional in nature depending on the number of axis we are considering. For the question, the dimension of the required coordinate is 2-dimensional i.e (x,y).
On the Cartesian plane, we have the x axis along the horizontal plane and y axis along the vertical.
Note that positive values lies towards the right of the x-axis and also up the y-axis. The negative values lies towards the left of the x-axis and also down the y-axis.
According to the question, if a point is lying on x axis at a distance of 5 units to the right of x axis, then the value of x will be +5 i.e x = +5
Also, if a point lies on the y axis at a distance of 3 units below the origin, then the value of y will be -3 i.e y = -3.
Hence, the coordinates satisfying this points (x,y) is (5, -3)
Write an equation for the line that is parallel to the given line and that passes through the given point. y=34x−9;(−8,−18)
Answer:
Step-by-step explanation:
eq. of line parallel to y=34x-9 is y=34 x+k
∵ it passes through (-8,-18)
∴-18=34×-8+k
k=-18+272
k=254
so reqd. eq. is y=34 x+272
If f(x) is the total cost, in dollars, of x candles, which of the following statements best describes the meaning of f(2)=6
Answer: A) The total cost of 2 candies is $6.00.
Step-by-step explanation:
Hi, the question is incomplete, options are :
A) The total cost of 2 candies is $6.00. B) The total cost of 6 candies is $2.00. C) The total cost of 2 candies is $3.00. D) The total cost of 3 candies is $2.00.
So, to answer this question we have to analyze the function given:
f(2)=6
Since the input value x (number of candles) is 2, and the output (cost in dollars ) is $6, the correct option is :
A) The total cost of 2 candies is $6.00.
Maya is interning at a law firm over the summer and is paid by the hour. If her hourly wage is $52, which equation represents the proportional relationship between the wages she earns (w) and the number of hours (h)?
Answer: w= 52h
Step-by-step explanation:
Given: Maya is interning at a law firm over the summer and is paid by the hour.
Her hourly pay = $52
i.e. She is paid $52 per hour.
Let the wages she earns is denoted by 'w' and the number of hours is denoted by 'h'.
Now, (Total wages earned) = (hourly pay) x (Number of hours)
w = (52) (h)
⇒ w= 52h
Hence, the equation represents the proportional relationship between the wages she earns (w) and the number of hours (h): w= 52h
Answer:52h
Step-by-step explanation: tried got it right
Brock wants to compete for the featherweight boxing title, but the upper limit for that weight class is 126 pounds. He currently weighs 134 pounds. Brock can lose 3 pounds per day if he does vigorous workouts. The number of days, d, that Brock will need to work out to compete at the featherweight level is represented by the inequality 134 – 3d < 126. Select the fewest number of days he would have to work out to compete at the featherweight level. A. 1 B. 2 C. 3 D. 4 E. 5
Answer:
C. 3
Step-by-step explanation:
Brock weighs 134 pounds, he will lose 3 pounds a day until he is 126 pounds
D will represent the number of days he will work out.
134 - 3d < 126
134 - 3(3) < 126
134 - 9 = 125
125 < 126
3 days
We can say that Brock needs to workout for minimum 3 days to compete at feather weight level.
Ans ASAP!! But one request can u give IN pic WITH steps?..... Plzlzlzlzlz?? 1rst one will be the BRAINLIEST.. But I want complete ans!
Answer:
The parts are 24 and 16
Step-by-step explanation:
Let's call the two parts x and y. We can write the following system:
x + y = 40 -- Equation 1
1/4x = 3/8y -- Equation 2
2x = 3y -- Equation 3 (Multiply Equation 2 by 8 to get rid of denominators)
2x + 2y = 80 -- Equation 4 (Multiply Equation 1 by 2)
3y + 2y = 80 -- (Substitute 2x = 3y into Equation 4)
5y = 80 -- (3y + 2y = 5y)
y = 16 -- (Divide by 5)
x + 16 = 40 -- (Substitute y = 16 into Equation 1)
x = 24 -- (Subtract 16)
Help me please ty ty ♀️❤️
Answer:
AHH! Geometry!
Thanks for this problem. Needed to refresh my skill for similarity and rations.
First, notice the lines that are on sides of the triangles. Lines with the same number of marks are the same measure. You may have already known this, but I'll just tell you for reference.
That means both of those pair of sides have equal length. What does this mean though?
Imagine that each of the line segments(the ones with two marks) are... 1 cookie (Their lengths, also, I really want a cookie.)
Now, this is where ratios come into play. Consider only the top triangle to the entire triangle. The Top Triangle has a side with the length of one cookie. That corresponding side on the entire large one is 2 cookies (because they are the same measure, and 1*2=2).
Thus, we can make a ratio, comparing the lengths of a corresponding sides.
(BTW, these are similar triangles, meaning that they have all the same angle measures, but different side lengths.)
[tex]\frac{1Cookie}{2Cookies}[/tex]
Now. (Refer to above) Similar triangles have ratios of similarity. Meaning that: Corresponding sides have a 1/3 ratio. This means, also, that all the other corresponding sides have a 1/3 ratio. Neat, huh?
Putting into other words, we can compare CB and RT with the same 1/2 ratio!(Just cancel out the cookies, its still the same ratio)
Now, that we have all our needed information, let's solve!(Also, remember to match it up properly, or else it won't work: Small triangle side/Small Triangle side=Large Triangle Side/Large Triangle Side, or something like that).
[tex]\frac{1}{3x-8} =\frac{2}{2x+4} \\2x+4=6x-16\\4x=20\\x=5[/tex]
^ ANSWER
So there you go! X is equal to 5. I'm sure you can solve the rest on your own!
Hope this helps!
Stay Safe! I'm going to get that cookie now...
Find the measure of AngleJ, the smallest angle in a triangle with sides measuring 11, 13, and 19. Round to the nearest whole degree. 30° 34° 42° 47°
Answer:
34°
Step-by-step explanation:
The law of cosines is good for finding angles when only sides are known. We'll use the conventional sides a, b, c, and angles A, B, C. Yes, we know the problem statement calls the smallest angle "J". We trust you can make the translation.
a² = b² +c² -2bc·cos(A) . . . . . for sides a, b, c and angle A
Solving for the angle, we get ...
A = arccos((b² +c² -a²)/(2bc))
Filling in the numbers with "a" being the shortest side, we have ...
A = arccos((13² +19² -11²)/(2·13·19)) = arccos(409/494)
A ≈ 34.113°
The smallest angle, ∠J, is about 34°.
Answer:
b
Step-by-step explanation:
Find the m∠CDE rjrsjrsrjr
Answer:
m∠CDE = 60°
Step-by-step explanation:
Given that the arc at the center = 2 times the arc at the circumference, we have;
Angle at the center = arc CE = 120°
Whereby the angle at the circumference is given as m∠CDE and it is opposite the circle arc CE
We note that m∠CDE is the acute angle between chord DC and DE
Therefore, we have;
Angle at the center = 120° = 2 times the arc at the circumference = 2 × m∠CDE
120° = 2 × m∠CDE
m∠CDE = 120/2 = 60°
Therefore the angle of m∠CDE is equal to 60°.
A doctor recommends a two-step process to treat a rare form of pancreatic cancer. The first method is successful 80% of the time. If the first method is successful, the second method is successful 90% of the time. If the first treatment is not a success, the second is 25% of the time. What is the probability that both treatments are unsuccessful?
Answer:
The answer is 15%.
Step-by-step explanation:
The probability that:
Both treatments are successful:80% x 90% = 72%
The first method is a success, but the second one is not:80% x (1 - 90%) = 8%
The first method is not successful, but the second one is:(1 - 80%) x 25% = 5%
Both treatments are unsuccessful:1 - (72% + 8% + 5%) = 15%