The most appropriate choice for velocity and accleration will be given by- Deacceleration of a car of 15 [tex]m/s^2[/tex] is a real world situation for which the rate of change is -15
What is velocity and acceleration?
Velocity
The distance travelled by a body per unit interval of time where the direction of the motion of a body is taken into account is known as velocity.
Velocity is a vector quantity as direction of motion of body is taken into account.
If d is the displacement of body and t is the time,
Velocity = [tex]\frac{d}{t}[/tex]
Acceleration
The rate of change of velocity of a body is called acceleration.
Acceleration is a vector quantity as direction of motion of a body is taken into account.
If [tex]\Delta[/tex]v is the change of velocity and t is the time,
Acceleration = [tex]\frac{\Delta v}{t}[/tex]
If velocity decreases then it is called Deacceleration
Here
Deacceleration of a car is 15 [tex]m/s^2[/tex]
That means rate of change of velocity of a car is -15 [tex]m/s^2[/tex]
This is a real world situation for which the rate of change is -15
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What is the prime factorization of 7850?
Answer:
the prime factorization of 7850 is 2, 5, 5, 157
If (2a) (2b) = 128, what is a + b equal to?
The exponents' best option will be determined by
a + b's value is seven.
Describe exponent.How often a number is multiplied by itself is indicated by the exponent.
For instance
In this case, 2 is multiplied by 4
Now in ( m times)
The base is designated as a, and the power is designated as m.
There are some indexing laws.
[tex]1)a^m \times a^n = a^{m+n}\\2)\frac{a^m}{a^n} = a^{m-n}\\3) (a^m)^n = a^{mn}\\4) (ab)^m = a^mb^m\\5) a^0 = 1\\6) a^{-m} = (\frac{1}{a})^m[/tex]
Here,
[tex](2^a)(2^b) = 128\\[/tex]
[tex]2^{a+b} =2^7[/tex] [According to laws of indices]
[tex]a + b = 7[/tex]
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Complete Question
If [tex](2^a)(2^b) = 128\\[/tex], then a + b is equal to?
Imagine that it is now 2 p.m. What time will it be when the minute hand has rotated through
1260°?
A. 5:30
B. 4:50
C. 6:00
D. 4:10
when the minute hand rotated through 1260° time will became 5:30 PM
Complete angle:-
A complete angle is a type of angle that measures 360°.A complete angle deals with one full rotation measuring 360°.
In an hour or in 60 minute, minute hand covers a 360° angle.
According to question,
initially it is 2:00PM,that is minute hand at 12 and hour hand at 2
it is given that minute hand has rotated through 1260°
1260° = 3 x 360° + 180°
which means minute hand will have three complete rotation and one half rotation.
when minute hand rotated through 360° angle then hour hand will move from 2 to 3.
And again in second rotation, when minute hand rotated through 360° angle then hour hand will move from 3 to 4.
Again in third rotation, when minute hand rotated through 360° angle then hour hand will move from 4 to 5.
As of now, minute hand have taken three complete rotation and so hour hand reached at 5
Now, when minute hand rotated through 180° (one half rotation),minute hand will reach at 6 from 12.
So, right now the position of hour hand is between 5 and 6 and the position of minute hand at 6.
hence, time will be 5:30 PM
Option A is correct
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Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-5).
The Point-slop form for X is X = 5Y+15, and the Point-slop form for Y is [tex]\frac{X-5}{5}[/tex], for the line with a slope 1/5 and passing through the point (-4, -5).
Finding the slop form using the formula [tex]m=\frac{Y_{1} - Y_{2} }{X_{1} -x_{2} }[/tex]
The equation for x.
Here m=1/5.
∴ [tex]\frac{1}{5}=\frac{Y-(-4)}{X-(-5)}[/tex]
[tex]\frac{1}{5}[/tex] × X-(-5) = Y-(-4)
[tex]\frac{1}{5}[/tex] × X+5 = Y+4
X+5= 5Y+2O
X=5Y+20-5
X=5Y+15
∴Point-slop for X is X=5Y+15.
Solving for Y.
[tex]\frac{1}{5}=\frac{Y-(-4)}{X-(-5)}[/tex]
Simplifying and Solving.
[tex]\frac{1}{5}[/tex] × X-(-5) = Y-(-4), Taken 0n X-(-5) the right side.
[tex]\frac{1}{5}[/tex] × X+5 = Y+4
X+5= 5Y+2O
X+5-20=5Y
X-15=5Y
Taking 5 0n the right side.
[tex]\frac{X-15}{5}[/tex] = Y
∴ Point-slop form for Y is [tex]\frac{X-5}{5}[/tex]
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a number is between 26 and 31 it has the prime factors of 2 and 7 what is the number
Answer:
28
Step-by-step explanation:
2 x 7 = 14
Number should be in between 26 and 31
So,
14 x 2 = 28
28 has one of its prime factors as 2 and 7.
Hence,
28 is the number which is in between 26 and 31 it has the prime factors of 2 and 7.
Answer:
Step-by-step explanation: Given prime factors: 2, 7
By multiplying, 2 X 7= 14
Given, number is between 26 and 31
therefore, 14 X 2= 28 (since 2 is a prime factor)
ans: 28
the value of [tex]\sqrt{6}[/tex] is not -4 because ______.
Answer:
D
Step-by-step explanation:
(-4^2) = 16 not -16
since,
you cant raise a number to an even power and get a negative value
what is negative five times negative one third
Answer:
-5 1/3
Step-by-step explanation:
Answer:
5/3
Step-by-step explanation:
A negative times a negative is a positive. So your answer will be positive.
When multiplying a whole number times a fraction, you multiply the whole (big) number times the top number (numerator) and just keep the bottom number (denominator) the same.
5 × 1/3
Is 5×1 on TOP and just keep the 3 on the bottom.
(5×1)/3
5/3
5/3 is the best answer, but if you are being asked for a "mixed number" then 5/3 is the same as 1 2/3.
Jogging at a constant speed, Ahmed
completes
a run of 4 miles in 60 minutes.
Answer: Every 15 minutes he runs a mile. 60 / 4 = 15
I hope this helps or answers the question needed
Why is it important to always label your numeric answers with unit labels? Give at least one example of how labeling a numeric answer with the wrong label would make a big difference in the answer.
It is important to always label your numeric answers with unit labels on order not to confuse others and to understand what it illustrates.
An example is when solving for the area of a shape abd the person writes cm³. This means volume and is incorrect.
What is labeling?A graph labelling is the process of assigning labels, which are often represented by integers, to the edges and/or vertices of a graph in the field of mathematics known as graph theory.
The information you need to obtain the answer must first be considered after you have determined what the challenge is asking for. You draw attention to certain aspects of the issue. After that, you label them so you can keep them organized and avoid becoming confused by them.
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select the correct answer. the endpoints of WX are W(-5,-1) and X(2,6) what is the length of WX
Answer:
[tex]d=7\sqrt{2}\text{ }[/tex]Step-by-step explanation:
The distance between two points is represented by the following equation;
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Therefore, if the endpoints of WX are (-5,-1) and X(2,6):
[tex]\begin{gathered} d=\sqrt{(2+5)^2+(6+1)^2} \\ d=7\sqrt{2} \end{gathered}[/tex]Solve the equation.
pls n ty
Answer:
0
Step-by-step explanation:
use a calculator =)
or
[tex]\sqrt[3]{125} = 5\\\sqrt{25} = 5\\ so , 5 - 5 = 0[/tex]
Allan has 4 buckets of paint. He spills 3. buckets. Estimate how many buckets of paint Allan has left.
14
12
O
2
bucket
O1 bucket
01- buckets
O2 buckets
WILL MARK BRAINLIEST Simplify 3√5-2√7+√45-√28.
O 2√12
O 2√2
O 6√5-4√7
O 6√10-4√14
Answer:
The result of [tex]\tt{}3 \sqrt{5} - 2 \sqrt{7} + \sqrt{45} - \sqrt{28} [/tex] is [tex]\tt{}6\sqrt{ 5} - 4 \sqrt{7}. [/tex]
Step-by-step explanation:
[tex]\tt{}3 \sqrt{5} - 2 \sqrt{7} + \sqrt{45} - \sqrt{28} [/tex]
[tex]\tt{}3 \sqrt{5} - 2 \sqrt{7} + 3\sqrt{5} -2 \sqrt{7}[/tex]
[tex]\tt{}6\sqrt{5} - 4 \sqrt{7}[/tex]
What is the domain of the function f(x) - 50 ? 5 + 720-2 {x: 0 < 20) {0, 1, 2, 3,.20} {a: 2 < 20} {0, 1, 2, 3,....19
The domain of a function f(x) is the set of values of the variable x for which the function is defined (has a defined finite value).
In the case of rational functions like this one, the function becomes undefined when the denominator is 0, so we can write:
[tex]\begin{gathered} 5+\sqrt[]{20-x}=0 \\ \sqrt[]{20-x}=-5\longrightarrow\text{ there is no real value for x that will satisfy this condition} \end{gathered}[/tex]As the square root will only give positive values or zero, there is no value of x that will make the square root be equal to -5. Then, this condition does not give us any discontinuity for f(x).
We have now to consider that the square root of (20-x) will not accept negative arguments in order to be in the realm of real numbers. So then, we have the condition:
[tex]\begin{gathered} 20-x\ge0 \\ 20\ge x \\ x\le20 \end{gathered}[/tex]Then, f(x) will not be defined for x that do not satisfy this condition.
We can conclude that f(x) is defined for all values of x that are equal or less than 20.
Answer: The domain is {x: x<=20}
Then
pls help me answer this
Answer:
hello!
Step-by-step explanation:
firstly lets convert the mixed fraction into a single fraction itself
thats 5/4
if each rope contributes to 5/4 meters then a rope with 8 pieces would be 5/4 x 8 which gives you the answer 10
Given the translation T(3, -1), translate the ordered pairs (-3, 6) and (9, -8).
Answer:
(-3,6)----> (0,5)
(9,-8)----> (6,-9)
Step-by-step explanation:
The translation T(3,-1) shows that we need to add three units to the x-coordinates and -1 unit to the y-coordinates, as follows in the answer above.
Find the simple interest and the total amount after three years.Principal = 11,750 rupeesAnnual rate of interest = 7.5%Total interest = (rupees)Total amount=(rupees)
The formula for calculating simple interest is expressed as
I = PRT
where
I represents the interest
P represents the principal or initial amount invested
R represents the interest rate
T represents the time in years
From the information given,
P = 11750
R = 7.5%
Recall, percentage is expressed in terms of 100. Thus,
R = 7.5/100 = 0.075
T = 3
By substituting these values into the formula,
I = 11750 x 0.075 x 3
I = 2643.75
Total interest = 2643.75 rupees
Total amount = principal + total interest
By substituting the values,
Total amount = 11750 + 2643.75
Total amount =
Answer: 11750 + 2643.75
Step-by-step explanation:
The formula for calculating simple interest is expressed as
I = PRT
where
I represents the interest
P represents the principal or initial amount invested
R represents the interest rate
T represents the time in years
From the information given,
P = 11750
R = 7.5%
Recall, percentage is expressed in terms of 100. Thus,
R = 7.5/100 = 0.075
T = 3
By substituting these values into the formula,
I = 11750 x 0.075 x 3
I = 2643.75
Total interest = 2643.75 rupees
Total amount = principal + total interest
By substituting the values,
Total amount = 11750 + 2643.75
an amusement park is running a special where you pay an entrance fee of $13 and will only charge $1 for the first 5 rides. After 5 rides, the price goes up to $4 per ride.
a. Write a function that represents the total cost of a trip to this amusement park
b. How much money will be spent if you go on 7 rides?
c. How many rides did someone go on who ended up spending $46?
angle 1 and angle 2 are supplements with m angle 1 = 10y + 46 and m angle 2 = 6y + 6. Find m angle 2
Answer: 54 Degrees
Step-by-step explanation:
Supplements add up to 180 deg.
Ang. #1 + Ang. #2 = 180 Deg
Angle 1=10y+46
Angle 2= 6y+6
16y+52=180 deg
16y=128
y=8
Since angle #2 is 6y+6, plugin y=8 6(8)+6=54 deg
:)
a recipe calls for 2 tsp of vanilla, we are doing a 6 times batch, how many cups of *
vanilla do you need?
Answer:
0.75 cups
Step-by-step explanation:
each batch needs 2 tablespoons your doing 6 batches so 6x2 is 12 and 12 tablespoons is 0.75 cups
how do i create a visual for -7+10
Answer:
Let's say you have a table with spots for 10 plates and each plate can hold 1 pie. But 7 plates are missing from the table. You place your pies in each spot anyway. Out of those 10 spots available, only 3 have both pies and plates.
dennis has sold $40 worth of chocolate bars for a fundraiser. if he sells over 175 worth of chocolate, he’ll win a prize.each bar is 2.50. How many bars does he need to sell in order to wins prize
Answer:
Dennis needs to sell 54 more
Step-by-step explanation:
The angle bisectors of AABC are AV, BV, and CV. They meet at a single point V.
(In other words, V is the incenter of AABC.)
Suppose TV=20, CV=23, mZTCU= 34°, and m SAV=26°.
Find the following measures.
Note that the figure is not drawn to scale.
S
B
U
mZSAU =
mSBV =
SV = [
The measure of the angles is m∠SAU= 24°
What is an incenter in geometry?The incenter is the point at which all of the attitude bisectors meet in the triangle, like within the video. It is not always the middle of the triangle.
In triangle ABC, V is the incenter of the triangle.
Since, m∠SAV = 26°
And m∠SBV = 2(m ∠SAV)
= 2 × 26°
= 52°
Since Property of the incenter of a triangle;
Therefore, DG = EG = GF = 10
Since, m∠A + m∠B + m∠C = 180°
2(18)° + 34° + 2(m∠SAU) = 180°
2(m∠SAU) = 180° - 132°
m∠SAU= 24°
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please help meeee!!!
Answer:
195 feet? (I know the answer but I'll leave the rest to you about typing it either cm2 or those stuff.
Step-by-step explanation:
To work this out so, congruent means identical. We already have the answer to EF so 13 x ? But BC = 15 feet. And BC = FG So,
13 x 15 = 195.
Hope this helps
complete the table of values x+y=6
Answer:
See below
Step-by-step explanation:
Number of distinct variations:
3
[tex]\left[\begin{array}{ccc}1&5\\2&4\\3&3\end{array}\right][/tex]
The answer to x + y = 6 can pretty much be anything that equals 6 but in addition so for example 3 + 3!
Need help finding the perimeter
Answer:
Perimeter
P = 24.2
Step-by-step explanation:
Perimeter
P = 9 + √(6^2 + 6^2) + √(3^2 + 6^2) = 24.2
Find the domain of the relation represented on the mapping diagram:
3-------> -1
6-------> 4
8-------> 4
Explain how to do it please!!
{3, 6, 8} is the domain of the relation R={(3,-1)(6,4)(8,4)}
What is Function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
A function has three important parts, domain, codomain and Range.
The domain of the relation R is the set of arguments i.e. first members of each ordered pair and the codomain is the set of which the values i.e. second members of all the ordered pairs.
In the Given relation
R={(3,-1)(6,4)(8,4)}
All the values in x place are domain values.
The domain equals all of the x values which are r on the left in a ordered pair
x= {3, 6, 8}
Hence {3, 6, 8} is the domain of the relation R={(3,-1)(6,4)(8,4)}
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What is the value of x
What is the measure of the smaller angle
What is the measure of the larger angle
Answer:
x=8
larger angle=113
smaller angle=67
Step-by-step explanation:
8x+3=a(Vertically opposite angle)
a+14x+1=180°(Angles between parallel line)
8x+3+14x+1=180°
22x+4=180°
22x=176°
x=8
f(x)= -8x ; f(-3) times f(5)
Answer: -960... It seems like a really big answer but it's right!
Step-by-step explanation:
Fill in the blank h(-5) • g(-2) = ________g(x) = x2. h(x) = 3x - 2
The first step to solve this question is to find the values of h(-5) and g(-2)
In order to do that, you need to use the value of x=-5 in the function h(x) and x=-2 in the function g(x).
So we have that:
[tex]\begin{gathered} g(x)=x^2 \\ g(-2)=(-2)^2=4 \\ \\ h(x)=3x-2 \\ h(-5)=3\cdot(-5)-2=-15-2=-17 \end{gathered}[/tex]Now we can calculate the product of h(-5) and g(-2):
[tex]h(-5)\cdot g(-2)=(-17)\cdot4=-68[/tex]So the value to fill the blank is -68.