Applying the expression for speed, we found that the time taken for the bucket to hit the bottom of the well is 15 seconds
Speed, Distance, TimeGiven Data
Speed = 2 meters per second
Distance = 30 meters
Time = ??
We know that the expression for the relationship between speed, distance and time is given as
Speed = Distance/Time
substituting we have
2 = 30/t
cross multiplying
2t = 30
divide both sides by 2
t = 30/2
t = 15 seconds
Answer 15 seconds
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324 ft
Flagpole
shadow
40 ft
The diagram above shows a 40-foot flagpole and its shadow in relation to a nearby building that is
324 feet tall. If the flagpole's shadow is 50% longer than the flagpole itself, how far is the
building from the flagpole?
The distance between the flagpole and the building is the number of feet between them
The building is 162 feet from the flagpole
How to determine the distanceThe given parameters are:
Flagpole = 40 feetBuilding Shadow = 324 feetThe flagpole's shadow is 50% longer than the flagpole.
So, the length (l) of the flagpole's shadow is:
[tex]l = 40 * (1 + 50\%)[/tex]
[tex]l = 60[/tex]
The length of the building's shadow (d) is then calculated as:
[tex]60 : 40 =d : 324[/tex]
Express as fraction
[tex]\frac{60}{40}= \frac{d}{324}[/tex]
[tex]1.50 = \frac{d}{324}[/tex]
Solve for d
[tex]d = 1.50 * 324[/tex]
[tex]d = 486[/tex]
The distance (x) of the building from the flagpole is then calculated as:
[tex]x = 486 - 324[/tex]
[tex]x = 162[/tex]
Hence, the building is 162 feet from the flagpole
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Which ratio represents Cos A?
if f(x)=3x-9 and g(x)=-x^2, then g(f(2))=
Answer:
g(f(2)) = -9
Step-by-step explanation:
You work from the inside out...
To find g(f(2)), you must first find f(2). f(2) = 3(2) - 9 = 6 - 9 = -3.
Now find g(-3). g(-3) = -(-3)^2 = -9.
Tell weather -5 is a solution of y + 8 > 3.
Answer:
-5 is your answer.
Step-by-step explanation:
[tex]=y+8>3\\\\=y+8-8>3-8\\\\[/tex] [Subtracting 8 in both sides]
[tex]=y>-5[/tex]
Tell whether the ordered pair (−1, 4) is a solution of the system.
-2x-3y=-10
-3x+y=7
True or False
Answer:
True because when you substitute the x coordinate to find the value of y =4 and the coordinate is 4
Answer:
True
Step-by-step explanation:
[tex]\left \{ {{-2x-3y=-10} \atop {-3x+y=7}} \right.[/tex]
Rearrange like terms to the same side of the equation:
[tex]\left \{ {{-2x-3y=-10} \atop {y=7+3x}} \right.[/tex]
Substitute into one of the equations:
[tex]-2x-3(7+3x)=-10[/tex]
Apply the Distributive Property:
[tex]-2x-21-9x=-10[/tex]
Combine like terms:
[tex]-11x-21=-10[/tex]
Rearrange variables to the left side of the equation:
[tex]-11x=-10+21[/tex]
Calculate the sum or difference:
[tex]-11x=11[/tex]
Divide both sides of the equation by the coefficient of variable:
[tex]x=-\frac{11}{11}[/tex]
Cross out the common factor:
[tex]x=-1[/tex]
Substitute into one of the equations:
[tex]y=7+3[/tex] × [tex](-1)[/tex]
Calculate:
[tex]y=4[/tex]
The solution of the system is:
[tex]\left \{ {{x=-1} \atop {y=4}} \right.[/tex]
Express solutions in ordered pairs:
[tex](-1,4)[/tex]
Determine whether [tex](-1,4)[/tex] and [tex](-1,4)[/tex] are equivalent:
True
BC=B, C, equals
Round your answer to the nearest hundredth.
Answer:
...
Step-by-step explanation:
WHat THE hAIL I DONT EVEN KNO WHAT UR ASKING MY BOY
THIS IS DUE IN 5 MINUTES I WILL GIVE BRAINLIST ASAP! The table below shows the cost of downloading songs from a website.
Number of songs 6 the total cost of it is 3.78 If c represents the total cost in dollars and cents for any number of songs downloaded, s, write a proportional equation for c in terms of s that matches the context.
Answer:
c = 0.63(s)
Step-by-step explanation:
brainliest please<3
An automotive service center would ke feedback on its customer service.
after they pay for services with a short survey on which customer service is ranked on a scale from 1 (least
satisfied) to 5 (most satisfied) Customers can then choose to submit the card in a box on their way out of the
store. The store manager finds that 140 cards were filled out in the past week, with an average customer
satisfaction score of 2.47. Which type of bias is most likely to be present in the survey results?
O This is undercoverage bias because some types of customers may not have received cards.
This is nonresponse bias because many customers may choose to not fill out the cards
O This is question wording bias because the customer service score levels may not be clear to customers.
O This is response bias because customers may not be truthful about their experience with customer service.
"This is nonresponse bias because many customers may choose to not fill out the cards"
Not everyone will chose to leave a review when leaving the store, and those that do were probably in some way inconvenienced, and felt inclined to leave one, while the others left and went about their day.
What is the length of JK
Answer:
jk = 4
Step-by-step explanation:
it starts at -2x and then goes to 2 x so the equation is
so it's |2| +2 =jk
HELP PLEASE In this polygon, all angles are right angles. What is the area of this polygon? Enter your answer in the box. ft² Polygon in the shape of a letter L, which could be formed by a horizontal rectangle attached along the bottom part of a vertical rectangle. The left side '
of the figure is 18 ft, the bottom side of the figure is 21 ft, the right side of the figure is 8 ft, and the top part of the horizontal rectangle to the right of the vertical rectangle is 12 ft. HURRY I HAVE 5 MINUTES!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
258 ft²
Step-by-step explanation:
This shape is represented as a rectangle with dimensions of 18ft by 21 ft and a portion of it that has been cut out.
Let's find the area of the original rectangle:
18ft x 21ft378 ft²Now let's find the area of the part cut out:
12 ft x (18ft - 8ft)12 ft x 10ft120 ft²Subtract the part cut out from the original rectangle:
378 ft² - 120ft²258 ft²-Chetan K
A line crosses the y-axis at (0,4) and has a slope of -2. Find an equation for this line.
A) y = 2x + 4
B) y = -2x + 4
C) y = -2x - 4
D) y = -4x + 2
3^2y-1 = (9)(27)^y-2 calculate the value of y
Thank you
Answer:
y = 3
Step-by-step explanation:
3^2y - 1 = (9)(27)^y - 2
3^2y-1 = 243^y - 2
log(243)/log(3) = 5
2y - 1 = 5(y - 2)
2y - 1 = 5y - 10
-5y -5y
-3y - 1 = -10
+ 1 +1
-3y = -9
-3 -3
y = 3
Can someone please help me find the answer to this question?
Answer:
pretty sure its d :)
Step-by-step explanation:
Answer: D
Step-by-step explanation:
To solve for the inverse of an equation, the first step is to rewrite f(x) as y.
This should leave you with the equation y=[tex]\frac{3x}{5}[/tex]+3
Then switch y and x, which should leave you with x=[tex]\frac{3y}{5}[/tex]+3
Lastly, solve for y.
subtract 3 from both sidesmultiply both side by 5 divide both sides by 3This should give you the final answer of D or y=[tex]\frac{5(x-3)}{3}[/tex]
The picture below gives a step-by-step picture.
Given y = f(x) and y = g(x), explain the transformations from f(x) to g(x).
shift right then stretch vertically
stretch horizontally then shift down
stretch vertically then shift left
shift up then stretch horizontally
Answer:
shift right then stretch vertically
Step-by-step explanation:
A
The transformations from f(x) to g(x) is shift right then stretch vertically. Hence. option A is the correct answer.
It is Given y = f(x) and y = g(x), we need to explain the transformations from f(x) to g(x).
How does transformation of a function happens?The transformation of a function may involve any change.
These can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units:
y=f(x+c) (same output, but c units earlier)
Right shift by c units:
y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k f(x)
Horizontal stretch by a factor k: y = [tex]f\left(\dfrac{x}{k}\right)[/tex]
Here, the transformations from f(x) to g(x);
We can conclude that the transformations from f(x) to g(x) is shift right then stretch vertically.
Hence. option A is the correct answer.
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Grandma Millie is shrinking! Her height decreases by \dfrac{1}{4} \text{ cm}
4
1
cmstart fraction, 1, divided by, 4, end fraction, start text, space, c, m, end text each year.
What is her total change in height over 333 years?
Answer:
83.25 cm
Step-by-step explanation:
1/4(x) cm
x= time
1/4(333)
or 333/4
her height changes
83.25 cm
help PLEASEEE
Given that Segment AD=29, AE=21 and CE=99, find the indicated measures for x, y, and perimeter of kite ABCD.
Answer:
DE = BE = x
x = 29² - 21²
= √400
= 20
x = 20
y = 20² + 99²
= √10201
= 101
y = 101
perimeter of kite ABCD : 29 + 29 + 101 + 101
= 260
Use [tex]\sqrt{x}[/tex] Solve for x
Check the picture below.
and if you check your Unit Circle, you'd notice that those angles have an specific value.
[tex]\cfrac{15}{sin(60^o)}~~ = ~~\cfrac{x}{sin(45^o)}\implies \cfrac{15}{~~ \frac{\sqrt{3}}{2}~~}~~ = ~~\cfrac{x}{~~ \frac{\sqrt{2}}{2}~~}\implies \cfrac{15}{1}\cdot \cfrac{2}{\sqrt{3}}~~ = ~~\cfrac{x}{1}\cdot \cfrac{2}{\sqrt{2}}[/tex]
[tex]\cfrac{30}{\sqrt{3}}=\cfrac{2x}{\sqrt{2}}\implies \cfrac{30\sqrt{2}}{\sqrt{3}}=2x\implies \cfrac{30\sqrt{2}}{2\sqrt{3}}=x\implies \cfrac{15\sqrt{2}}{\sqrt{3}}=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{rationalizing the denominator}}{\cfrac{15\sqrt{2}}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{15\sqrt{6}}{3}}\implies \boxed{5\sqrt{6}=x}[/tex]
i need help with math
Answer:
answer is y=-2x
Step-by-step explanation:
-2x because every time the dot decreases
There are 25 students and one teacher in class. After an exam, everyone high-fives
everyone else to celebrate how well they did. How many high-fives were there?
Answer:
300
Step-by-step explanation:
I think it will be 300 because
People High-Fives
2. 1
3. 3
4. 6
5. 10
6. 15
7. 21
8. 28
9. 36
10. 45.
There fore 10 people's high five will be 45 keep repeating and finding out the high fives I got 300 but I'm not sure if it's correct
The required number of high fives is 300.
Given that,
There are 25 students and one teacher in the class. After an exam, everyone high-fives everyone else to celebrate how well they did. How many high-fives were there is to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
There are 25 students
n = 25
For each high five, there would be at least 2 students,
r = 2
The number of high five is given by combination,
= 25 C 2
= 25 * 24 / 2
= 600 / 2
= 300
Thus, the required number of high fives is 300.
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Help me out please! CORRECT PLEASE i will mark brainliest
Answer:
the answer for 2 is given answer for 1 is trans prop of answer for 3 is knl and answer for 4 is nkl
Step-by-step explanation:
Find the area of following figures
Answer:
43.16cm
Step-by-step explanation:
(1.2 x 3.6)/2=2.16
3.6 x 1=3.6
2.2 x 1=2.2
8 x 2=16
8 x 2.4=19.2
2. Consider the equation 3x2 - 13x - 30 = 0.
(a) Write the factored form of the trinomial.
Answer:
(3x + 5)(x - 6) = 0 (Assuming 3x is to the power of two 3x^2)
Step-by-step explanation:
Factor out -13 from -13x
3x^2 - 13(x) - 30 = 0
Rewrite -13 as 5 plus -18
3x^2 + (5 - 18)x - 30 = 0
Apply the distributive property
3x^2 + 5x - 18x - 30 = 0
Now factor out the GCF (Greatest common factor)
To do so we will group the first two terms and last two.
(3x^2 + 5x) - 18x - 30 = 0
Then factor out the GCF from each group.
x(3x + 5) - 6(3x + 5) = 0
(3x + 5)(x - 6) = 0
Answer:
-5/3 , 6
Step-by-step explanation:
Quadratic Formula is
x = -b ± √(b^2 − 4ac))/(2a)
replace the letters with the values from the equation, and plug it in.
x = -(-13) ± √((-13)^2 − 4*3(-30))/(2(3))
=
x = (13 ± 23) / 6
You may subtract or add the 13 and 23 for a valid answer, thus the two possible values are
-5/3
and
6
Solve the equation.
-5/7 ● -21/55
Step-by-step explanation:
Multiply:
[tex] \frac{ - 5}{7} \times \frac{ - 21}{55} = \frac{105}{385} [/tex]
Divide each side by 35:
[tex] \frac{105 \div 35}{385 \div 35} = \frac{3}{11} [/tex]
Your simplified product is 3/11.
Pls help in need
All appreciation
Allison is saving money to buy a new phone that costs $600 by selling her graphic designs. She is using an app to manage her sales, but it keeps a fraction of each sale. Her net pay is modeled by the function P(x) = x2 + 18x – 160, where x represents the number of sales. How many sales does Allison to make to earn $600?
9 sales
20 sales
38 sales
841 sales
Answer:
20 sales.
Step-by-step explanation:
p(x) = x² + 18x – 160
Here p(x) represents the net pay.
Given that p(x), net pay is $600
x² + 18x – 160 = 600
x² + 18x – 160 - 600 = 0
x² + 18x – 760 = 0
x² +38x - 20x - 760 = 0
x(x+38) - 20(x+38) = 0
(x-20)(x+38) = 0
x = -38, 20
x = 20
Therefore, she makes 20 sales in order to make $600.
Answer: 20 sales.
Proof of validity is shown below.
31. You work 35 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you earn the most?
• $32,000/year
© $18.50/hour
• $30,000/year with a 5% bonus
) $17.50/hour and a $1,500 bonus at the end of the year
Answer:
Option BStep-by-step explanation:
Calculate and compare:
A) $32000B) $18.5*35*52 = $33670C) $30000 + 5% = $30000 + $1500 = $31500D) $17.5*35*52 + $1500 = $33350A brownie recipe ask for four and two thirds times as much sugar as chocolate chips. If three and one half cups of sugar is used, what quality of chocolate chips would then be needed according to the recipe
Answer:1 cup of chocolate chips for every 1and 3/4 cup of flour
so divide 4 and 2/3 x 1 and 3/4
turn them both into fractions
4 2/3 = 14/3
1 3/4 = 7/4
14/3 / 7/4 = 14/3 x 4/7 = 56/21 = 2 and 2/3 cups of chocolate chips are needed
Step-by-step explanation:
Given the N values in a series, the geometric mean is
A. The third root of the product of N values.
B. The square root of the product of N values
C. The fourth root of the product of N values
D. The Nth root of the product of N values
Answer:
1,870
Step-by-step explanation:
Help please! I don’t have many points!
Answer:
110°
Step-by-step explanation:
Angles don't change if both are same shape (gradient)
write 7 7/8 as a improper fracton
Answer:
63/8
Step-by-step explanation:
(7x8) + 7 = 63
keep the same dinominator
Answer: it would be 63/8 as an improper fraction
Step-by-step explanation: