Mr. Baker moves 2 meters per second while standing on the moving sidewalk, and he walked 20 meters to get to the moving sidewalk. which is the correct answer would be an option (C).
What is the distance?Distance is defined as the product of speed and time.
The function shows Mr. Baker's distance (d), in meters, from the check-in counter while he has been standing on the moving sidewalk for s seconds. d = 2s + 20.
Here He travels at a speed of two meters per second while standing on the moving sidewalk, and he walked 20 meters to get there.
Thus, Mr. Baker moves 2 meters per second while standing on the moving sidewalk, and he walked 20 meters to get to the moving sidewalk.
Hence, the correct answer would be option (C).
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The sum of 8 times a number and 2 equals 6. translate the sentence into an equation
Answer: (8x + 2) = 6
Step-by-step explanation:
Answer:
8(x) + 2 = 6
Step-by-step explanation:
A fraction can easily be written as a percent when the denominator is _________________.
Group of answer choices
100
50
10
20
Answer:
100
Step-by-step explanation:
Example 33/ 100 = 33% 28/ 100= 28 % etc
Ill mark brainliest just answer right
Answer:
90
Step-by-step explanation:
14/20 = 0.7
28/40 = 0.7
63/90 = 0.7
Hope this helps.
Answer:
Step-by-step explanation:
The answer is D. 90 because the other numbers
14/20=.7
28/40=.7
63/90=.7
therefore, it would be 90.
Select all of the following equation(s) that are quadratic in form. x4 – 6x2 – 27 = 0 3x4 = 2x 2(x + 5)4 + 2x2 + 5 = 0 6(2x + 4)2 = (2x + 4) + 2 6x4 = -x2 + 5 8x4 + 2x2 – 4x = 0
The equation which is quadratic in form is, [tex]6(2x+4)^2 = (2x+4)+2[/tex].
What is quadratic equation?
The polynomial equations of degree two in one variable of type
f(x) = ax^2 + bx + c = 0 and with a, b, c ∈ R and a ≠ 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f. (x).
Consider the given equations,
[tex]x^4-6x^2-27=0\\3x^4=2x^2\\2(x+5)^4+2x^2+5=0\\6(2x+4)^2=(2x+4)+2\\6x^4=-x^2+5\\8x^4+2x^2-4x=0[/tex]
The first, second, third, fifth and sixth equation are all having 4th degree.
So, by the definition of quadratic equation, these equations are not a quadratic.
Consider, the fourth equation,
[tex]6(2x+4)^2=(2x+4)+2\\[/tex]
Simplifying this, we get
[tex]6(4x^2 + 16x + 16 = 2x + 6\\24x^2 + 96x + 96 = 2x + 6\\24x^2 + 96x - 2x + 96 - 6 = 0\\24x^2 + 94x + 90 = 0[/tex]
This equation having degree 2.
Therefore the equation [tex]6(2x+4)^2 = (2x+4)+2[/tex] is a quadratic equation.
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Jason's water bottle has 20 ounces of water, and he is drinking ata rate of 1 ouncer per
second. Pedro's water bottle contains 65 bunces of water, and he is drinking at a rate of
2.5 ouncers per second. At how many seconds, s, will the two bottles have the same
amount of water if Jason and Pedro start drinking from each of their bottles at the same
time?
After 31 seconds, the bottle of Jason and Pedro will have the same amount of water.
According to the question,
We have the following information:
Jason's water bottle has 20 ounces of water, and he is drinking at the rate of 1 ouncer per second. Pedro's water bottle contains 65 ounces of water, and he is drinking at a rate of 2.5 ounces per second.
So, the water is decreasing at the constant rate. So, there will arithmetic progression where d is the rate.
Formula used to find nth term of an A.P:
an = a+(n-1)d where a is the first term
For Jason:
an = 20+(n-1)-1
an = 20-n+1
an = 21-n
For Pedro:
an = 65+(n-1)-2.5
an = 65-2.5n+2.5
an = 67.5-2.5n
Now, we have the following expression for equal amount of water:
21-n = 67.5-2.5n
21-67.5 = -2.5n+n
-46.5 = -1.5n
n = 46.5/1.5
n = 31
Hence, after 31 seconds, the bottle of Jason and Pedro will have the same amount of water.
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HELP ASAP!! 50 PNTS THANKS
Answer: 1st and 2nd
Step-by-step explanation:
what is equation, slope and y intercept for this graph please? need asap please
Answer:
Equation: y = -4x + 1
Slope: -4
Y-intercept: y = 1
Step-by-step explanation:
To find the equation of the line you need the gradient and the y-intercept
To find the gradient we need to divide the change in y by the change in x:
4 ÷ 1 = 4As the graph has a negative correlation the gradient would have a minus which is why it would be -4!
To find the y-intercept we need to find the number on the y-axis that the line crosses which in this case would be y = 1!!
Hope this helps, have a great day!!
Answer:
equation:y=4x+1
y-intercept:1
slope:4/1 or 4
Step-by-step explanation
the equation has to be in slope intercept form which is [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept. the y-intercept is when x is 0 in this case when x is 0 y is 1 (0,1) so the y-intercept is 1. the slope is rise/run so pick two points that cross the grid perfectly and count the units rise and run. this line rises 4 and runs 1 so the slope is 4/1 so 4 hence the equation [tex]y=4x+1[/tex]
State the domain and range for the following relation. Then determine whether the relation represents a function. {(-9,3),(-8,3),(-7,3),(-6,3)
The domain of relation {-9, -8, -7, -6} and range of relation is {3} and the relation represents a function.
A function is defined as a relation between a set of input having only one output.
Now,
The relation is;
{(-9,3),(-8,3),(-7,3),(-6,3)
Hence, The domain of relation = {-9, -8, -7, -6}
And, Range of relation = {3}
Clearly, Each input (domain) has only one output (range)
Hence, The given relation is function.
The domain of relation {-9, -8, -7, -6} and range of relation is {3} and the relation represents a function.
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What is the answer to this question?
Find the value of X in the diagram.
The value of x is 10, in the diagram, Vertically opposed angles
What is Vertically opposed angles?
Two lines intersecting at a point create vertical angles. Every time they are on an equal footing. Alternatively stated, four angles are created anytime two lines cross or intersect. Two opposed angles are equal and are referred to as vertical angles, as we can see. Due to their position opposite one another, they are also known as "Vertically opposed angles."
Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. The equality of the vertically opposed angles has been established.
Here in the diagram 5x = 2y
y = 5X/2
We have 2y+2y+8x = 180 in a straight line.
So 4y+8x = 180
4(5x/2) +8x = 180
10x+8x = 180
x = 180/18
x = 10
Hence, the value of x is 10, in the diagram.
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Please help it’s due today!!!
Answer:
(a.): m∠ ACB = 40°; (b.): m ∠CBA = 25°; (c.): m ∠CAB = 115°
Step-by-step explanation:
Because Lines AB and DE are parallel, we can use the angle relationships to find the angles.
(For context of the problem, we can label the 40° angle as ∠C and the 155° as ∠B)
(a.) Angles C and ACB are vertical angles, which means they're congruent. Thus m ∠ACB = 40°.
(b.) AB is a straight line and angles B and CBA are supplementary angles. This means their total sum is 180°. We need to subtract angle B from 180 to find m ∠CBA:
[tex]180-155=CBA\\25=CBA[/tex]
(c.) We know that the sum of all the angles is 180°. Thus, we can subtract the sum of angles CBA and CBA from 180 to find the m ∠CAB:
[tex]180-(40+25)=CAB\\180-65=CAB\\115=CAB[/tex]
blake is ordering 6 bags of cat food. Each bag has a mass of 7.5. to know shipping costs. blake needs to know the total of weight in lbs. what is the weight of cat food in lbs?
What is the y-intercept of the linear equation x minus one-half y = negative 6? –6 –3 0 12
Answer:
The y-intercept is 12
Step-by-step explanation:
the equation is: x - 1/2y = -6
We need to find the y-intercept which is the y value when x=0.
Knowing that, we can just substitute 0 for x to get:
0 - 1/2y = -6
From there, it's just algebra so:
0 - 1/2y = -6
-1/2y = -6
-0.5y = -6
y = 12
Is this graph a function?
ANSWERS:
This is a function.
This cannot be determined from this graph.
This is not a function.
(C) This is not a function.
The equation x = 3 represents a vertical line and not a mapping from values of x to values of y.
Hence, its a equation not a function.
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A bank receives an average of 7 bad checks a day, What is the probability that over a four day period, the bank will receive 39 bad checks? Step 2 of 2: Compute the probability, Round your answer to four decimatplaces, if necessary.
Answer:
39 bad checks because due to the math, 7 bad checks are received in a day
help me out thanks so much
Answer:
D: 1+2x6
Step-by-step explanation:
5+2^3
5+8
13
1+2x6
1+12
13
D is the only option equal to 13
Hopes this helps please mark brainliest
Which correctly identifies ways that earthquakes and tsunamis can cause destruction? (1 point)
earthquakes: erosion of beaches
tsunamis: move blocks of land up or down
earthquakes: open up large cracks in Earth's crust
tsunamis: erosion of beaches
earthquakes: landslides
tsunamis: move blocks of land up or down
earthquakes: landslides
tsunamis: open up large cracks in Earth's crust
The answer is earthquakes: open up large cracks in Earth’s crust tsunamis: erosion of beaches.
What is tsunamis?
Giant waves that are brought on by ocean floor movement are known as tsunamis. Landslides, underwater volcanic eruptions, earthquakes, and even meteorite collisions can cause the ocean floor to tremble. These are often referred to as seismic sea waves, albeit they are sometimes misidentified as tidal waves. A tsunami is a set of waves that are caused by a disturbance in the ocean or another body of water, such as an earthquake, landslide, volcanic eruption, or meteorite strike.
The water above shifts up or down as a result of undersea earthquakes, which often take place along tectonic plate borders. Earth’s crust tsunamis: erosion of beaches.
Hence, earthquakes: open up large cracks in the Earth’s crust tsunamis: and erosion of beaches.
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4 1/3x + 16 = 2 2/3x + 21
Recall that whenever suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing 4 red, 3 green, 2 white, and 1 purple. She grabs five of them, Find the probability of having at least one white one.
The probability of having at least one white marble, using the hypergeometric distribution, is of:
0.7778 = 77.78%.
What is the hypergeometric distribution formula?The mass probability formula is presented as follows:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are listed as follows:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, the values of these parameters are listed as follows:
N = 4 + 3 + 2 + 1 = 10.k = 2, as there are 2 white balls.n = 5, as five balls will be taken.The probability of having at least one white one is:
P(X > 0) = 1 - P(X = 0).
In which:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,10,5,2) = \frac{C_{2,0}C_{8,5}}{C_{10,5}} = 0.2222[/tex]
Then:
P(X > 0) = 1 - 0.2222 = 0.7778 = 77.78%.
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4. Which one of these is not a type of triangle?
a. Equilateral
b. Scalene
c. Isosceles
d. None of these.
Answer: D.
Step-by-step explanation:
Equilateral, scalene, and isosceles are all valid types of triangles.
When 14 is subtracted from the square of a number, the result is 5 times the number. Find the positive solution.
The positive solution for the given equation is 7 .
In the question ,
it is given that ,
when a number 14 is subtracted from the square of number ,
then the result is 5 times the number .
let that number be "x" .
So , the equation representing the amount statement is
x² - 14 = 5x
x² - 5x - 14 = 0
By using splitting the middle term method to find the solution.
we get ,
x² - 7x [tex]+[/tex] 2x - 14 [tex]=[/tex] 0
taking x common ,
x(x - 7) + 2(x - 7) = 0
(x + 2)(x - 7) = 0
we get , x + 2 = 0 and x - 7 = 0
the solution as x = -2 and x = 7 ,
Therefore , The positive solution for the given equation is 7 .
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Answer:7
Step-by-step explanation:
Membership at a private arcade club costs a one-time initiation fee of $50 plus $10
per month.
Part A: Write a function expressing the total amount of money spent on membership
as a function of the number of months.
Part B: Identify the independent variable and the dependent variable in this
situation.
Part C: How much total money has been spent on membership after 12 months?
Answer:
600 is the answer to the question
A fruit basket contains 3 apples, 1 orange, 3 grapefruits, and 2 bananas. How many
pieces of fruit are in the basket?
O 10
09
08
07
which expression is equivalent to 4 to the power of 8 over 4 to the power of 2
Answer:
4,096
Step-by-step explanation:
=4^8 / 4^2
=4^6
=4,096
dembow needs to hire a mechanic to fix his car. Mechanic G charges $30 per hour of work while mechanic k charges $20 per hour of work plus a $30 reservation fee. Write equations for mechanic G and mechanic k where y is the cost in dollars and x is the hours of work.
The equations for Mechanic G is y = 30x and for mechanic K is y = 20x + 30
What is rate?Rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
for mechanic G since he charges 30 dollars per hour, for x hours his charge will be 30x
so that y = 30x
For K since he charges at rate of 20 dollars per hour, his charge after x hours will be 20x. if he takes 30 dollars reservation fee
then his total cost is y = 20x + 30
In conclusion, the equations for mechanic G and K are y = 30x and y = 20x + 30 respectively.
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Wilma goes to a college that is 106 miles away. Wilma drives a Honda Civic and gets 35 mpg. If Wilma plans on making 8 round trips to and from her college this year, how much will she spend on gas over the course of the year? (Assume that gas remains constant at $3.59/gal).
Answer: $173.96
Step-by-step explanation: If I'm not mistaken first you have to take 106 and multiply it by 2 to count for the round trips so that makes 212 miles for one trip, then you have to multiple by 8 to figure out how many miles in total which equals 1696, then you divide by the 35 to figure out how many gallons she use, which is 48.457(rounded) then you multiple that by the rate of gas which is 3.59 which means she spent 173.96(rounded to the nearest tenth)
What is the length of the segment below?
Answer:
5
Step-by-step explanation:
Length is a positive number. Count the spaces from -2 to -7
Foster recently went on a weekend hiking trip and recorded the elevation changes at several checkpoints. Fosters elevation log can be seen in the table below. If the next checkpoint has a change in final elevation of 148.3 what is the change in elevation
4. The greatest change in elevation is on Checkpoint 4.
5. The change in elevation on the final checkpoint is of: -62.1 feet.
How to obtain the change in elevation for each checkpoint?The change in elevation for each checkpoint is given by the subtraction of the final elevation by the initial elevation. Both these elevations are given on the table.
Hence, for each checkpoint, the changes are given as follows:
Checkpoint 1: -78 - (-125.4) = 47.4 feet.Checkpoint 2: -101.6 - (-78) = -23.6 feet.Checkpoint 3: 14.7 - (-101.6) = 116.3 feetCheckpoint 4: 225.1 - 14.7 = 210.4 feetHence the greatest change is of 210.4 feet on checkpoint 4.
The final elevation is of 148.3 feet, hence the change in elevation on the final stage is obtained as follows:
148.3 - 210.4 = -62.1 feet.
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Which rule explains why these triangles are
congruent?
U
T
V
W
AAS
ASA
SAS
SSS
These triangles
cannot be proven
congruent.
These triangles can be proven congruent by using ASA RULE.
What is congruent triangles and its rules ?
When two triangles are congruent, their three sides and their three angles match precisely.
If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.
ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.
Main Body:
In ΔTUV and ΔTWV
VT =VT ----(1)
∠VTU=∠TVW -----(2)
As TUVW is a parallelogram
so, ∠T = ∠U
hence, ∠TVU =∠VTW ----(3)
taking equation 1, 2,3
therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.
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Arturo has a coin collection. He keeps 11 of the coins in his box, which is 2% of the collection. How many total coins are in his collection?Multiply/scale up to solve.
Answer:
550 coins
Step-by-step explanation:
2% = 2/100 = 0.02
11/0.02 = 550
The collection consists of 550 coins
Hope this helps
A certain loan program offers an interest rate of 4.5%, compounded continuously. Assuming no payments are made, how much would be owed after two years on a loan of $3100?
Do not round any intermediate computations, and round your answer to the nearest cent.
The amount of loan after 2 years will be $6491.4.
What is Simple interest?
A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Interest rate = 4.5%, compounded continuously.
Time = 2 years
Initial value = $3100
Now,
We know that;
The formula for amount after continuous compound interest is,
⇒ [tex]A = P e^r^t[/tex]
Where, P is principal, r is rate per year, t is time in year.
Substitute all the values, we get;
⇒ [tex]A = P e^r^t[/tex]
⇒ [tex]A = 3100 e^{0.045 * 2}[/tex]
⇒ [tex]A = 3100 e^{0.09[/tex]
⇒ [tex]A = 3100 * 1.094[/tex]
⇒ [tex]A = 6491.4[/tex]
Thus, The amount of loan after 2 years will be $6491.4.
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