Answers
The rate at which the distance is decreasing is - 30 centimeters per second. Ravi's distance from the first floor when he stepped on escalator is 1250 centimeters.
What is rate?The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one thing by the equal amount of change in another.
a. From the table we can observe that as time increases, his distance from the first floor decreases.
The rate at which the distance is decreasing is given by:
Rate = (d2 - d1)/ (t2 - t1)
= (980 - 1070) / (9 - 6)
= -90 / 3
= -30
Hence, the rate at which the distance is decreasing is - 30 centimeters per second.
b. Ravi's distance from the first floor when he stepped on escalator is calculates as:
d - d1 = m(t - t1)
where, m is the rate.
Here, m = -30.
d - 1070 = (- 30) (t - 6)
d = -30t + 180 + 1070
d = -30t + 1250
The time when he stepped on escalator is 0.
d = -30(0) + 1250
d = 1250
Hence, Ravi's distance from the first floor when he stepped on escalator is 1250 centimeters.
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Related Questions
whats 667453x765678-543
Answers
Answer:
511054077591
Step-by-step explanation:
Answer:
511,054,077,591
Step-by-step explanation:
Is this an actual question tho?
Which point is the intersection of RS and VT?
Answers
Answer:
point U
Step-by-step explanation:
I learned this before
Hope this helps
In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the
nearest degree
Answers
Given:
In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.
To find:
The measure of angle P.
Solution:
According to the Law of Cosines:
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
Using Law of Cosines in triangle OPQ, we get
[tex]\cos P=\dfrac{o^2+q^2-p^2}{2oq}[/tex]
[tex]\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}[/tex]
[tex]\cos P=\dfrac{490000+384400-705600}{868000}[/tex]
[tex]\cos P=\dfrac{168800}{868000}[/tex]
On further simplification, we get
[tex]\cos P=0.19447[/tex]
[tex]P=\cos^{-1}(0.19447)[/tex]
[tex]P=78.786236[/tex]
[tex]P\approx 79[/tex]
Therefore, the measure of angle P is 79 degrees.
Answer:
79
Step-by-step explanation:
Use distributive property to simplify the following expression then combine like
terms: -5(a-6)+6a. Then identify the coefficient for the simplified expression.
Your answer
Answers
Answer:
Step-by-step explanation:
distribute:
-5a+30+6a
simplify:
a+30
not sure what u mean by coefficient, the coefficient of a is 1.
Answer: a + 30
Step-by-step explanation:
Using the distributive property, we can figure out the expression unsimplified = -5a+30+6a
By combining like terms, -5a+6a = a
Therefore, this expression = a + 30
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
Select the correct answer,
What is the value of x?
log3 x = 4
A.27
В.7
С.12
D. 81
Answers
Answer:
D. 81
Step-by-step explanation:
Raise
3
to the power of
4
.
81
=
x
Rewrite the equation as
x
=
81
.
x
=
81
8123 divided by 7 please help!
Answers
X, Y and Z form the vertices of a triangle with area 59.7cm2. If XZ = 21.5cm and XY = 13.5cm, work out the acute angle ∠YXZ. Round to 1 DP.
Answers
Answer: The acute angle ∠YXZ = 24.3°.
Step-by-step explanation:
If in triangle ABC, C is the angle included between sides a and b then
Area of triangle = [tex]\dfrac12a\cdot b\cdot sin C[/tex]
here, XZ = 21.5cm and XY = 13.5cm are sides that includes acute angle ∠YXZ..
Area of a triangle = 59.7cm²
then, as per given, we have
[tex]59.7=\dfrac12(21.5)(13.5)\ \sin X\\\\\Rightarrow\ 59.7=145.125\ \sin X\\\\\Rightarrow\ \sin X = \dfrac{59.7}{145.125}\\\\\Rightarrow\ \sin X =0.41137\\\\\Rightarrow\ X = \sin ^{-1}(0.41137)\approx24.3^{\circ}[/tex]
Hence, the acute angle ∠YXZ = 24.3°.
A cylinder has radius 3.8 meters. Its volume is 159 cubic meters. Find its
height to the nearest tenth of a meter.
Answers
Answer:
Step-by-step explanation:
Find the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest hundredth, if necessary.
Answers
Step-by-step explanation:
Given
diameter (d) = 9 ft
radius (r) = 9/2 = 4.5 ft
Area of the circle
= πr²
= 3.14 * ( 4.5) ²
= 3.14 * 20.25
= 63.585
= 63.59 ft
Hope it will help :)
Scientists have found fewer fossils of plants than of animal bones. Why do you think this is?(You may state your opinion!)
Answers
List the possible rational roots of the equation. 0 = 22x4 - x2 + 121
Answers
Answer:
22×4=88÷2=44+121=165
Answer:
±1
±1/2
±1/11
±1/22
±11
±11/2
±121
±121/2
I need the answer as soon as possible
Answers
Answer:
Reflection on the Y axis.
Step-by-step explanation:
(I cannot see the rest of the answers but I am assuming reflection is one of them). The shape reflects perfectly on the Y axis.
Micah has 294 songs stored in his phone,which is 70% of the songs that Jorge in his phone.How many songs are stored on Jorge'S phone ?
Answers
Answer:
206
Step-by-step explanation:
70% of 294
70/100 × 294/1
205.8
round it off to 206
Prism A is similar to Prism B. The volume of Prism A is 540 cm.
What is the volume of Prism B? (determine scale factor first)
Answers
Answer:
1080
Step-by-step explanation:
540x2/ or 540 + 540
What is the rate of change of
the function when x=-1 and
x = 1?
A
A. 2
B. 4
C. -2
D. -4
0.
Answers
Answer:
c!!!!!!!!!!!!!!!!!!!
How do you find the original price from a coupon or discount?
Answers
Answer: ,GJHGFHJGJH HJGLHGLKG HKLGKL G LKJKJLGKJGKGKJKKJ K
Step-by-step explanation:
In The autumn 40% of the leaves on a tree are yellow and 24% of them are green the remaining 72 leaves are half yellow how many leaves are on the tree
Answers
Percentage of yellow leaves on a tree during Autumn = 40%
Percentage of green leaves on a tree during Autumn = 24%
Percentage of half yellow leaves on the tree during Autumn :
[tex] = \tt100 - 40 + 24[/tex]
[tex] = \tt 100 - 64[/tex]
[tex] = \tt 36 \%[/tex]Thus, the percentage of half yellow leaves on the tree during Autumn = 36%
Number of half yellow leaves on the tree = 36%
Let the total number of leaves on the tree be x.
Which means :
[tex] = \tt36 \% \: of \: x = 72[/tex]
[tex] = \tt \frac{36}{100} \times x = 72[/tex]
[tex] = \tt \frac{36 \times x}{100} = 72[/tex]
[tex] = \tt \frac{36x}{100} = 72[/tex]
[tex] = \tt 36x = 72 \times 100[/tex]
[tex] = \tt36x = 7200[/tex]
[tex] = \tt x = \frac{7200}{36} [/tex]
[tex] \color{plum} = \tt \: x = 200[/tex]
Thus, total number of leaves on the tree = 200
Number of yellow leaves on the tree :
[tex] = \tt40 \% \: \: of \: \: 200[/tex]
[tex] = \tt \frac{40}{100} \times 200[/tex]
[tex] = \tt \frac{40 \times 200}{100} [/tex]
[tex] = \tt \frac{8000}{100} [/tex]
[tex] \color{plum} \tt = 80 \: yellow \: \: leaves[/tex]
Thus, total number of yellow leaves on the tree = 80
Number of green trees on the tree :
[tex] = \tt24 \% \: \: of \: \: 200[/tex]
[tex] = \tt \frac{24}{100} \times 200 [/tex]
[tex] = \tt \frac{24 \times 200}{100} [/tex]
[tex] = \tt \frac{4800}{100} [/tex]
[tex] \color{plum} = \tt 48 \: green \: \: leaves[/tex]
Thus, the total number of green leaves on the tree = 48
Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.
▪︎Therefore, the total number of leaves on the tree = 200
The number of leaves is on the tree is 200.
Given that,
There is 40% of the leaves that should be yellow.24% of them should be green.And, the remaining should be 72 leaves that represent half yellow.Now as per the above explanation:
The percentage of half yellow trees should be= 100 - 40 + 24
= 100 - 64
= 36
Here we assume the number of leaves on the tree be x
So,
36% of x = 72
x = 200
Therefore we can conclude that the number of leaves is on the tree is 200.
Learn more about the tree here: brainly.com/question/2656951
olve for x: 3(x + 1) = −2(x − 1) + 6.
Answers
-2(x-1)+6=-2x+2+6=-2x+8
3x+3=-2x+8
X=1 because 3(1)+3=6 and -2(1)+8=6
Please I need help does anyone know a hack for khan academy
Answers
Answer:
Answer:
0.3643
Step-by-step explanation:
Standard Form and Scientific Notation
What is standard form of numbers?
Standard form is the normal way of writing numbers no matter how big or small the number is.
Examples:
15,000,000
0.0000000678
What is scientific notation?
Scientific notation is a different way of expressing numbers. It is a short way of expressing very big numbers or very small numbers. It is also known as exponential form. Scientific notation is written as the product of a number and a power of 10.
Examples:
1.3 × 10⁶
34.5 × 10^⁻9
Going back to the question above, we need to convert the given scientific notation to its standard form.
Converting of Scientific Notation to Standard Form
To convert a number from scientific notation to standard form, move the decimal point.
The exponent tells the direction and the number of times we need to move the decimal point.
The positive exponent indicates a large number so we need to move the decimal point to the right.
The negative exponent indicates a small number so we need to move the decimal point to the left.
Do not write the power of 10 anymore.
Solution:
Now, let us convert 3.643 x 10^-1 in standard form.
The exponent is negative 1 so we will move the decimal point to the left once.
3.643 = 0.3643
1 4/5 as a decimal thank you (will be giving brainliest to first answer that is correct) : D
Answers
Answer:
yes its decimal
Step-by-step explanation:
The given fraction into percent and decimal are; 2.8 and 280%
How to convert percent to fraction and decimal?Percent counts the number compared to 100.
There is a fraction, containing numerator(upper value) and denominator(lower value).
So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get,
For each 1, there are a/100 parts.
Thus, 50% = 50/100 = 0.50 (in decimal)
There is a fraction, containing numerator(upper value) and denominator(lower value).
The mixed fraction contains a sum of whole number and a proper fraction.
WE have been given a fraction as;
14/5
Then Fraction Decimal Percentage
2.8 and 280%
The given fraction into percent and decimal are; 2.8 and 280%
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4. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!
Write a rule for the linear function shown in the graph.
A. y = 2x - 2
B. y = -2x + 2
C. y = 1/2x - 2
D. y = -x + 2
Answers
Answer:
The answer is A (y = 2x - 2)
Step-by-step explanation:
B and D aren't correct because the y-intercept is a positive 2 instead of negative 2 like the graph shown. We're now left with A and C. Go on one point of the graph and count up or down to go on the same y value as the other point. Go left or right and count until you go to the same point. Remember that the slope equation is rise/run. Rise meaning up or down. Run meaning left or right.
Answer:
y = -x+2
Step-by-step explanation:
For first one
can you guys help me out
Answers
Answer:
a. S = 3n + 2
b. There while be 62 squares.
Step-by-step explanation:
We know the first term of this sequence is 5. To figure out the equation, subtract the following term from the previous. Do you see a common difference?
8 - 5 = 3
11 - 8 = 3
14 - 11 = 3
We're seeing a constant difference of 3 (which makes this an arithmetic sequence), but the first term is 5. That mean something is being added to make the first term 5. Subtract 3 from 5 to get 2. This means 2 is being added to every multiple of 3, which leads us to the equation: S = 3n + 2.
To find the 20th term of this sequence, substitute n for 20 and do the operations.
S = 3(20) + 2
Multiply 3 by 20, then add 2.
S = 62
The 20th term will have 62 squares.
Cuánto costará cercar una finca cuadrada de 14 metros de lado a razón de $150 el metro lineal de alambrada
Answers
Answer:
$ 2100
Step-by-step explanation:
De la pregunta anterior:
1 metro de cerca de alambre = $ 150
14 metros = x
Cruz multiplicar
x = 14 × $ 150
x = $ 2100
Por lo tanto, costaría $ 2100 por una cerca de 14 metros
Directions: Identify the slope and y intercept. Then write an equation in y = mx + b form. 11) 40 2 1 r 0 -4 -3 -2 +1 0 1 2 3 -1 -2 -3 -4 Slope = y-intercept =
Answers
Answer:
55555555
Step-by-step explanation:
40 is 8% of what number?
Answers
Answer:
500
Step-by-step explanation:
40×100÷8=500
Number 40 is 8 percent of 500.
What is the percentage?The percentage refers to a number that is out of 100. When describing components of a whole in mathematics, percentages are employed similarly to fractions and decimals. When employing percentages, the idea is that there are 100 equal pieces that make up the whole. In addition to the shorthand "pct," which is used less frequently, the symbol "%" is used to indicate that a number is a percentage.
Let the unknown number be "x" whose 8% is 40.
Hence,
8% of x = 40
1% of x = 40/8 = 5
Thus, the value of x = 500
Therefore, 8 percent of 500 if 40.
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2.) Find the value of n in the equation 1/2(n+4) = 6 *
Answers
Answer:
2
Step-by-step explanation:
Hope this helps
Which scenario best matches the inequality x greater than 3 ?
Answers
Answer:
d
Step-by-step explanation:
i got an 100 on the test :)
Distance=7cm/1yrx1000yr=
Answers
9514 1404 393
Answer:
70 m
Step-by-step explanation:
Perhaps you want to evaluate the expression:
[tex]\dfrac{7\text{ cm}}{1\text{ yr}}\cdot 1000\text{ yr}=7000\text{ cm}=70\text{ m}[/tex]
__
There are 100 cm in 1 m. The units of yr cancel.
Plz help on BOTH of the questions
Answers
Answer:
4.30000x(1+3%)x10%=$3090
5. 20x1.5x2.1=63
Step-by-step explanation:
um dado de 6 faces numeradas de 1 a 6 e lançado de maneira aleatória deseja-se que ele caia com uma face para cima . Qual a probabilidade de se obter a face com um dos valores desejados
Answers
Answer: The translation: is "a die with 6 faces numbered from 1 to 6 and thrown in a random way is desired to fall face up. What is the probability of obtaining the face with one of the desired values"