Help!! 12am = 4, solve for a!! (literal equations)
The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in feet of the cable above the roadway, x is the horizontal distance in feet from the left bridge support, a is a constant, and (h, k) is the vertex of the parabola. At a horizontal distance of 30 ft, the cable is 15 ft above the roadway. The lowest point of the cable is 6ft above the roadway and is a horizontal distance of 90 ft from the left bridge support. Which quadratic equation models the situation correctly? y = -0.0025(x - 90)² + 6y = -0.0025(x - 30)² + 15✔ y = 0.0025(x - 90)² + 6y = 0.0025(x - 30)² + 15
The main cable attaches to the left bridge support at a height of 26.25 ft.The main cable attaches to the right bridge support at the same height as it attaches to the left bridge support. What is the distance between the supports?Answer:
The equation that models this situation correctly is C. y = 0.0025(x-90)² + 6.
Step-by-step explanation:
To find the quadratic equation that best models this equation, the only piece of information we need is "The lowest point of the cable is 6ft above the roadway and is a horizontal distance of 90 ft from the left bridge support."
The keyword lowest tells us the value is a minimum. Therefore, the parabola must be a positive one, because negative parabolas have maximum values. This disqualifies answer choices A and B because they have negative a values.
We also know the vertex occurs at (90, 6) because this is where the lowest point is. Therefore, the equation should be y = 0.0025(x-90)² + 6. (Note: the information about point (30, 15) is not relevant to the problem.)
the perimeter of a rectangle is 332 cm and the width is 76 cm. Find the rectangle's length
332/2 =166
166-76 = 90
length = 90 cm
Which of the following represents two lines that are coplanar and do not intersect?
A. Perpendicular
B. Skew
C. Parallel
D. Intersecting
Two lines that are coplanar and do not intersect are called parallel lines. This means they exist within the same plane and while they never meet, they continue indefinitely in the same direction.
Explanation:Of the given options: Perpendicular, Skew, Parallel, and Intersecting, the term that represents two lines that are coplanar (existing in the same plane) and do not intersect is Parallel. A brief explanation of each option: A. Perpendicular lines are coplanar and do intersect at a right angle. B. Skew lines are not coplanar, hence they do not intersect nor are they parallel. C. Parallel lines are coplanar and do not intersect at any point. D. Intersecting lines are coplanar and do cross at some point.
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What is the product of 0.4 and 2.5
solve -3.2=2.5+1.2m
elvin read 3/7 of the pages of the book he has 56 pages left to read how many pages has he already read
In a video game, a character is healed at a constant rate as long they are standing in a certain circle. Complete the table
alexis divided a 1 3/4 pound bag of apples among 3 friends. how many pounds of apples did each friend receive?
Since Alexis divided a 1 3/4 pound bag of apples among 3 friends, the pounds of apples that each friend receives is 7/12 pounds.
Number of pounds of bags of apple to share = 1 3/4
Number of friends to share the apple = 3 friends
Therefore, in order to get the number of pounds of apples that each person gets, we'll need to divide 1 3/4 by 3 and this will be:
= 1 3/4 ÷ 3
= 7/4 ÷ 3
= 7/4 × 1/3
= 7/12
Therefore, the pounds of apples that each friend receives is 7/12 pounds of apple.
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Jeff's dog weighs 76 pounds what is the
Dog's weight rounded to the nearest ten pounds
The dog's weight rounded to the nearest ten pounds is 80 pounds.
The dog's weight, 76 pounds, can be rounded to the nearest ten pounds.
To round to the nearest ten pounds, we look at the digit in the ones place. If the digit is 0, 1, 2, 3, or 4, we round down to the nearest ten. If the digit is 5, 6, 7, 8, or 9, we round up to the nearest ten.
In this case, the digit in the ones place is 6. Since 6 is greater than 5, we round up to the nearest ten.
So, the dog's weight rounded to the nearest ten pounds is 80 pounds.
What is 50= 28.10 + 0.15m
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s).
A scientist measures the diameter of a bacteria cell and yeast cell. She finds the diameter of a bacteria cell to be 0.0000021 meters and the diameter of a yeast cell to be 0.00000398 meters.
The approximate diameter of the bacteria cell is represented by point ----------
on the number line.
The approximate diameter of the yeast cell is represented by point -----------
on the number line.
The diameter of the bacteria cell is approximately ----------
times smaller than the diameter of the yeast cell.
The approximate diameter of the bacteria cell shows that it would be best represented on the number line by point 2 x 10⁻⁶.
The approximate diameter of the yeast cell is best represented by the point 3 x 10⁻⁶.
Compared to the yeast cell, the approximate diameter of the bacteria cell is approximately 2 times smaller.
What points best represent the diameters of the yeast and bacteria cells?To find the power of 10 that the first whole number needs to be multiplied by, count the number of zeros and the whole number.
The number of zeros and the first whole number for 0.0000021 is 6 so this is the number to multiply 10 by:
= 2 x 10⁻⁶
The same would apply to the number 0.00000398 as there are also five zeros so it becomes:
= 3 x 10⁻⁶
How much larger than the bacteria cell is the yeast cell?You can find this as:
= Diameter of yeast cell / Diameter of bacteria cell
= 0.00000398 / 0.0000021
= 1.89
= 2 approx.
Find out more on the bacteria cell at https://brainly.com/question/3024933.
dave has 30% off coupon for pair of jeans priced at $78.95. he will also have to pay a 6% sales tax and a 1% local option tax at the register. how much will he have to pay for the jeans?(p.s. please work it out in detail, so I can get a better understanding instead of just putting the answer. )
Answer:
$59.13355 ≈ $59.14
Step-by-step explanation:
Marked Price = $78.95
Discount @ 30% = 0.30 x $78.95
= $23.685
Selling Price = Marked Price - Discount
= $78.95-$23.685
= $55.265
Sales tax @ 6% = 0.06 x $55.265
= $3.3159
Local Option Tax @ 1% = 0.01 x $55.265
= 0.5526
Hence Billing amount = Selling Price +Sales tax + Local Option Tax
= $55.265 + $3.3159+$0.5526
= $59.13355
≈ $59.14
7.3579 E8 in standard form
For this case we have the following exponential expression:
[tex] 7.3579 E8
[/tex]
We can rewrite the exponential expression in scientific notation as follows:
[tex] 7.3579 E8 = 7.3579 * 10 ^ 8
[/tex]
Then, to write the number in its standard form, we move the decimal point 8 spaces to the right. This is because the exponent is positive.
We have then:
[tex] 7.3579 * 10 ^ 8 = 735790000
[/tex]
Answer:
7.3579 E8 in standard form is:
[tex] 735790000 [/tex]
At 5 a.m., the temperature at an airport was −9.4°F . Six hours later, the temperature was 2.8°F . Which expression represents the total temperature change over the six hours?
I need help with this now!
Answer:
(-9.8 + x) = 2.8
Step-by-step explanation:
The temperature at an airport at 5:00 am was -9.4° F.
Six hours later the temperature was 2.8° F.
Let temperature change in the 6 hours is = x° F
Then the temperature after six hours from -9.8° F will be = (-9.8 + x)° F
And the expression representing the change will be
(-9.8 + x) = 2.8
are irrational numbers always/sometimes/never rational numbers
Give an example of addition problem in which you would and would not group the addends differently to add
Answer:
The numbers which have unit digit Zero for a two digit number, and for three digit number ones and tens place should be equipped with zero,So on..... does not require addends to group together.
For example, addition problem in which you would not regroup addends
→ 10+20+30
→ 30 +40 +50
→ 100+200+300
And Addition Problems in which you will regroup addends
→ 17 +5 +3=(17+3)+5=20+5=25
→ 4+9+6=(4+6)+9=10+9=19
→ 13+19+17=(13+17)+19=30+19=49
One movie club charges a $100 membership fee and $10 for each movie. Another club charges no membership fee but movies cost $15 each. Write and solve an equation to find the number of movies you need to buy for the cost of each movie club to be the same.
HELP!!!
HOW DO I SOLVE THIS 1/5(6+3+1)2
Complete the factoring
7y+42=7()
Giving away brainliest (assuming there is more than one person answering, of course)
Basic Cookie Recipe:
1/2 cup shortening. 1/2 teaspoon baking soda
1/2 cup butter 2 cups chocolate chips
2 1/2 cups flour. 1/3 cup cocoa
1 cup brown sugar. 1 teaspoon vanilla
1/4 cup granulated sugar
To enrich Choco flavor, you want to add more cocoa to the recipe. Because cocoa is bitter, you need to increase the amount of GRANULATED sugar in the recipe. Write an equation to describe how the amount of GRANULATED sugar, s, in the recipe relates to the amount of cocoa, c. If the amount of cocoa is tripled, how much more granulated sugar should you add? Explain reasoning (or not, but please).
(-8x) divided by (-2)
What is 4,785 rounded to the nearest thousand?
Rachel flips a coin 150 times and finds that the probability of the coin landing heads up is Rachel wants to flip the same coin 15 more times. On the first 14 flips, the coin lands heads up. Which statement best describes the probability of the coin landing heads up on the 15th flip?
a.The probability of the coin landing heads up is
b.The probability of the coin landing heads up is 1.
c.The probability of the coin landing heads up is
d.The probability of the coin landing heads up is
every coin flip, it has a 1/2 probability of landing on heads.
it doesn't matter what the flips were before it.
Probability is 1/2
How to graph the function. compare the graph with the graph of f(x)=x
7,000 is ten times as much as what number?
How many pairs of whole numbers have a sum of 99
a
[1] Angle Addition Postulate[2] Subtraction Property of Equality
b
[1] Substitution Property of Equality [2] Transitive Property of Equality
c
[1] Segment Addition Postulate [2] Definition of Congruent Segments
d
[1] Segment Addition Postulate[2] Substitution Property of Equality
Answer:
d:(1)Segment addition Postulate
(2).Substitution Property of equality.
Step-by-step explanation:
We are given that
EG=FH
We have to write a justification for each step.
1.EG=FH
Given information
2.EG=EF+FG
Segment addition Postulate
3.FH=FG+GH
Segment addition postulate
4.EF+FG=FG+GH
Substitute property of equality
[tex]EF=GH[/tex]
Subtraction property of equality
Answer:d:(1)Segment addition Postulate
(2).Substitution Property of equality.
Which statement best defines a universal law
A. It is in fact some of the time
B. It is in effect at all times
C. It changes over time
D. It operates only under specific times
what is 3x - 7 = 8x +23