61.025 meters is the maximum height obtained by the baseball
What is a function?A relation is a function if it has only One y-value for each x-value.
The length of time and the maximum height can be found by finding the vertex of the parabola.
h(t) = -4.9t² + 34.3t + 1
x = -b/2a
t = -34.3/-9.8
t=3.5
Now plug in t value in the function
h(3.5)= -4.9(3.5)² + 34.3(3.5)+ 1
=-4.9(12.25)+120.05+1
=-60.025+120.05+1
=61.025 meters
Hence, 61.025 meters is the maximum height obtained by the baseball
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A seamstress used 4 meters of string to make 20 bows. She used _ of a meter for each bow
Answer:
1/5
Step-by-step explanation:
20/4=5
The reciprocal of 5 = 1/5
La reducción de la ecuación 7a - 9b + 6a - 4b quedaría de la siguiente forma:
23a-31b
13a-13b
13a13b
12a-12b
La expresión se puede simplificar para obtener:
7a - 9b + 6a - 4b = 13a - 13b
¿Como simplificar la expresion?Queremos simplificar la siguiente expresión:
7a - 9b + 6a - 4b
Primero, podemos reordenar los terminos así obtenemos:
7a - 9b + 6a - 4b = 7a + 6a - 9b - 4b
Ahora podemos usar a y b como factores comunes, entonces obtendremos:
7a + 6a - 9b - 4b = (7 + 6)a + (-9 - 4)b
= 13a - 13b
Esa es la opcion correcta.
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Write an equivalent fraction for each given fraction 10/2 please help!!
The equivalent fraction to 10/2 are 5/1, 20/4, 30/6, 40/8, 50/10 and so on.
How to determine equivalent fraction?10/2
The equivalent fraction can be determined by division method or multiplication method
Division method:
10/2
divide both numerator and denominator by 2
= 5/1
Multiplication method:
10/2
multiply numerator and denominator by 2
= 20/4
multiply numerator and denominator by 3
= 30/6
multiply numerator and denominator by 4
= 40/8
Therefore, equivalent fractions are fractions which have equal numerator and denominator in its simplest form.
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help!!!!!!!!!!!!!!!!!!!!!!!!
''The planets farthest from the Sun have the coolest surface temperatures" is the accurate statement.
Which statement accurately describes the relationship between the surface temperature of the planets and their distances from the Sun?The amount of energy received from the Sun decreases with increasing distance, so the planets farthest from the Sun receive the least energy and therefore have the coolest surface temperatures.
This can be seen in our solar system, where the outer planets (Mars, Jupiter, Saturn, Uranus, and Neptune) are colder than the inner planets(Mercury, Venus, and Earth)
Therefore, the statement "The planets farthest from the Sun have the coolest surface temperatures" is accurate.
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Devonne compared the memory usage of two computers as various programs were run. She concluded that Computer A uses more megabytes for each additional program than Computer B. Is she correct?
Yes. Computer A has the greater slope.
Yes. Computer A has greater initial value.
No. Computer B has the greater slope.
No. Computer B has the greater initial value.
The correct statement regarding the linear functions is given as follows:
No. Computer B has the greater slope.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change of the output variable relative to the input variable.The intercept b represents the value of y when the graph of the function touches of crosses the y-axis.For Computer A, when x increases by 2, y increases by 176 - 32 = 144, hence the slope is given as follows:
m = 144/2
m = 72.
For Computer B, when x increases by 2, y increases by 370 - 198 = 172, hence the slope is given as follows:
m = 172/2
m = 86.
Which means that Computer B uses more megabytes for each additional program, as 86 > 72.
Missing InformationComputer A: A graph has programs on the x-axis and megabytes on the y-axis. A line goes through (0, 32) and (2, 176). Computer B: A 2-column table with 3 rows. Column 1 is labeled Programs: x with entries 2, 4, 6. Column 2 is labeled Megabytes: y with entries 198, 370, 542.
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y less than two thirds times x plus 2 (0, 3) (−3, 1) (3, 5) (1, 2)
As per the given statement, the inequality will be equal to y<2/3x+2.
What is an inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
here, we have,
As per the data provided in the question,
The statement is,
y is less than 2/3 times of x, that is = y<(2/3)x and,
then it is plus two is added to the equation,
y<(2/3)x+2
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usan and Mark are standing at different places on a beach and watching a bird. The angles of elevation they make are 20º and 50º, respectively.
If Susan and Mark are 7 kilometers apart and the bird is between them, the bird is at a height of
kilometers from the ground.
Answer:
Based on the angles of elevation and the distance between Susan and Mark, the bird is likely at a height of approximately 1.95 kilometers from the ground. This is based on calculations using the Pythagorean theorem and the law of cosines.
Step-by-step explanation:
K
Factor out the greatest common factor.
3x³+18x²-12x
3x³ +18x²-12x=(Type your answer in factored form.)
The greatest common factor is 3x.
What is Greatest Common Factor?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common.
For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.
Given:
3x³+18x²-12x
First, factorize each term of Expression
3x³ = 3. x . x . x
18x² = 3 . 3 . 2. x .x
12x =
So, 3x³+18x²-12x
= 3. x . x . x + ( 3 . 3 . 2. x .x ) - (2 . 2. 3 . x)
= 3x ( 3x² + 6x - 4)
Hence, the GCF is 3x.
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what is the median of 11,13,24,28,30,47
The required median of the given data set 11, 13, 24, 28, 30, and 47 is 24.
What is the median?When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.
The median of a set of numbers is the middle value when the numbers are arranged in order.
First, we need to arrange the numbers in ascending order:
11, 13, 24, 28, 30, 47
For an even number of values, the median is given as
Median = n / 2 th terms
Median = 6 / 2 = 3rd term
Median = 24
So, the median of 11, 13, 24, 28, 30, and 47 is 24.
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Graph the solution set for the system of inequalities and shade the solutions to the system
y≥x²
y≤x + 2
A graph of the solution to this system of inequalities on a coordinate plane is shown in the image attached below.
How to graph the solution to this system of inequalities?In order to to graph the solution to the given system of inequalities on a coordinate plane, we would use an online graphing calculator to plot the given system of inequalities and then take note of the point of intersection;
y ≥ x²
y ≤ x + 2
Based on the graph (see attachment), we can logically deduce that the solution to the given system of inequalities is the shaded region and the point of intersection of the lines on the graph representing each, which is given by the ordered pair (2, 4) and ordered pair (-1, 1).
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RIDES The Giant Canyon Swing is a thrill ride at Colorado’s Glenwood Taverns Adventure Park. The ride sits 3000 feet above the Colorado River and swings riders out over the Glenwood Canyon. Suppose the swing arms of the ride are about 41 feet long, and the axis from which the arms swing is about 43 feet above the base of the ride. What is the height of the riders above the Colorado River at the peak of the arc shown? Round to the nearest foot if necessary.
The height of the riders above the Colorado River at the peak of the arc shown will be 3,064.73 feet.
What is a vector?The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.
The length of the variable 'y' is given as,
sin (212° - 180°) = y / 41
0.5299 = y / 41
y = 21.73 feet
The height of the riders above the Colorado River is given as,
⇒ 21.73 + 43 + 3,000
⇒ 3,064.73 feet
The height of the riders above the Colorado River at the peak of the arc shown will be 3,064.73 feet.
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The missing part is given below.
Brainly tutor couldn't solve this, someone please help
The end behavior of the graphed function is defined by:
as x → ∞, f(x) → 1as x → -∞, f(x) → 1as x → 1, f(x) → ∞How to identify the end behavior of the function?To identify the end behavior, we need to look how the function behaves as the independent variable tends to ±∞.
Here we can see that in both ends, the function tends asymptotically to y = 1, then the end behavior is:
as x → ∞, f(x) → 1
as x → -∞, f(x) → 1
And we also can see that when x = 1 the function tends to infinity, then:
as x → 1, f(x) → ∞
These are the 3 correct options.
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Price (£) 1150
Demand 415
The unit Production and supply cost of each electric bicycle is 740
So What will be the profit of the unit
The profit of the unit is £410
What is unit profit?Profit is the revenue remaining after all costs are paid. Profit is the difference between business income (revenue) and business expenses (costs
To get the unit profit;
unit profit = Price - production cost
From the question,
The unit production cost is 740 while the price is 1150
using the formula above,
Unit profit = 1150 - 740
Unit profit = £410
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i need help hurry pls
The value of w = 16. The number 24 has a place value of two due to the presence of two full sets of tens.
What is meant by value?The value describes the value of each digit in relation to its position in the number. The place value and face value of the digit are multiplied to arrive at the answer. Value equals Place Value minus Face Value.Value is concerned with how much something is worth, whether in monetary terms or in terms of significance. It can mean "identify how much something is worth" like a reward valued at $200 or it can indicate "hold something in high esteem" like "I value our friendship."The occurrence of two complete sets of tens gives the number 24 its place value of two.Let the be ST = RU = PQ
S T = w, RU= -3w + 44, and PQ = -5w + 68
Then by simplifying the above equation we get,
(w) + (-3w + 44) + (-5w + 68) = 0
w - 3w + 44 - 5w + 68 = 0
Group like terms
w - 3w - 5w + 44 + 68 = 0
Add similar elements: w - 3w - 5w = -7w
-7w + 44 + 68 = 0
Add the numbers: 44 + 68 = 112
-7w + 112 = 0
Move 112 to the right side
-7w = -112
Divide both sides by -7
[tex]$\frac{-7 w}{-7}=\frac{-112}{-7}[/tex]
Then we get,
w = 16
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The value of w in the given trapezoid is 18.4.
What are the properties of trapezium?The following characteristics apply to a trapezium:
Similar to other quadrilaterals, the trapezium's four angles add up to 360°.
Two of a trapezium's sides are parallel, whereas the other two aren't.
Regular trapezium diagonals are divided by one another.
In a trapezium, the mid-length segment's is equal to half the total length of the parallel bases.
A trapezium created by two parallel sides and one non-parallel side has two pairs of neighbouring angles that add up to 180 degrees.
We know that the length of the mid-segment is equal to half the sum of the parallel bases, in a trapezium.
Thus,
TS +PQ = 1/2 (UR)
w - 5w + 68 = 1/2 (-3w + 44)
2(-4w + 68) = -3w + 44
-8w + 136 = -3w + 44
136 - 44 = -3w + 8w
92 = 5w
w = 18.4
Hence, the value of w in the given trapezoid is 18.4.
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a small business owner is applying for a small business loan and has been approved for a $50,000 loan with a 6.15% annual interest. the first loan is a simple interest rate, the second loan compounds interest quarterly, and the third loan compounds interest continuously. the small business owner plans to pay off the loan in three years and 7 months. determine the total value of the loan with simple interest.
Answer and Explanation:
To calculate the total value of the loan with simple interest, we can use the formula:
Loan amount x (Interest rate x Time in years) = Simple interest
Where,
Loan amount = $50,000
Interest rate = 6.15%
Time in years = 3 years + 7 months / 12 months/year = 3.58 years
So,
Simple interest = $50,000 x (6.15% x 3.58) = $10,439
Therefore, the total value of the loan with simple interest would be $50,000 + $10,439 = $60,439.
please help
You charged $800 on a credit card and it has an interest rate of 12% APR. You make a payment of $200, how much is your TOTAL BALANCE after one month?
1. $600
2. $672
3. $608
4. $896
The interest charge after one month can be calculated by multiplying the balance by the monthly interest rate, which is 12% divided by 12 months, or 0.12 / 12 = 0.01. The balance after one month would be:
$800 * (1 + 0.01) = $808
The total balance after one month and after making a $200 payment would be:
$808 - $200 = $608
So, the answer is $608.
The Singh family ordered a large pizza with a diameter of 16 inches for dinner. If one of the members of the family ate one eighth of the pizza, how many square inches of pizza are remaining? Use 3.14 for π.
A. 200.96 square inches
B. 175.84 square inches
C. 100.48 square inches
D. 25.12 square inches
Answer:
B. 175.84 square inches
Step-by-step explanation:
The pizza is shaped like a circle
Area of a circle = π r² where r is the radius
r = d/2 where d = diameter
Here d = 16 in
r = 16/2 = 8
Total area of pizza = π · 8² = 64 π
If 1/8th of the pizza was consumed balance = 1-1/8 = 7/8
7/8 of the total area = 7/8 x 64π = 56π = 175.84 square inches
This is the area of the remaining portion of the pizza
Joel has brownies. The length of each brownie is 7cm and the width is 5cm find the area of the brownies
The area of each brownie is 35 cm².
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, the length of each brownie is 7 cm and the width is 5 cm.
Here, the area is Length×Width
= 7×5
= 35 cm²
Therefore, the area of each brownie is 35 cm².
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Consider the following data. 9,−2,9,9,−2,−2,14 Step 1 of 3 : Determine the mean of the given data.
To find the mean of a given set of data, you divide the sum of all the values and divide it by the number of values.
[tex]9,-2,9,9,-2,-2,14[/tex]
[tex]9+-2+9+9+-2+-2+14\\=35[/tex]
There are a total of 7 values that are given. So, to find the mean, we simply must divide 35(the sum of all values) by 7(the number of values).
[tex]35\div7=5[/tex]
Therefore, the mean of our given set of data is 5.
You deposit $300 each month into an account earning 2% interest compounded monthly. a) How much will you have in the account in 15 years? b) How much total money will you put into the account? c) How much total interest will you earn?
Answer:
You will have 4500 dollars in your account. The interest might be %30
Step-by-step explanation:
I just multiplied everything by 15 i don't know this I just want to
help
Find the value of c. Round to the nearest tenth
The value of the x for the given triangle is 30.67.
What are trigonometric functions?Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
Given a right triangle,
the base angle is 61° and the length of the base is 17
using tangent to find the value of x
tanФ = perpendicular/base
here base = 17
perpendicular = x
Ф = 61°
tan61 = x/17
x = 17tan61
x = 30.67
Hence the value of x is 30.67.
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Equation of the thine that passes through the point (-6,-8) and is parallel to the line x-2y=6
The rquired equation of the line is x + 2y = - 10
Slope-intercept form of a line:The slope-intercept form of a line is given by
y = mx + cWhere m = slope and c = y-intercept
Note: The slope of two parallel lines will have the same slope
Here we have
The point (-6, -8) and the line x - 2y = 6 --- (1)
Let the equation y = mx + c ---- (2) is the equation of the line that passes through (-6, -8) and parallel to x - 2y = 6
As we know the parallel lines will have the same slope
=> Slope of line (1) = Slope of line (2)
Here x - 2y = 6
=> 2y = - x + 6
=> y = -x/2 + 3 which is in the form of y = mx + c
=> Slope of line = - 1/2
Therefore, the Slope of lines (2) = -1/2
=> y = (-1/2)x + c
=> 2y = -x + 2c --- (3)
Given that line passes through (-6, -8)
=> 2(-8) = - (-6) + 2c
=> - 16 = + 6 + 2c
=> 2c = -10
=> c = -5
=> y = -x/2 + (-5)
=> y = -x/2 - 5
=> 2y = - x - 10
=> x + 2y = - 10
Therefore,
The required equation of the line is x + 2y = - 10
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if cos theta =3/4 find sec theta
Answer:
secΘ = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
using the identity
• secΘ = [tex]\frac{1}{coa0}[/tex] = [tex]\frac{1}{\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex]
Find the measure of the three missing angles in the parallelogram below.
The measure of the angles of the parallelogram are: x = 90 degrees, y= 122degress and z=90 degrees
What is a parallelogram?A parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides
Remember that the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
This implies that y + 58 = 180
Making y the subject of the relation
y=180-58
y=122⁰
Also, since the other two opposite angles are not given, then it means that x=y = 180/2 = 90
this therefore means that x= 90, y= 122 and z= 90 degrees
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find the directrix of this equation
The equation's directrix of [tex]y^{2}-6y-2x+19=0[/tex]. is 4.5 since this parabola's directrix's equation is x + a = 0.
what is equation ?
The statistic is said to be in a simplified sense when divided into its smallest equivalent fraction. What to do to determine the most basic form. Look for common factors in the denominators and numerators. A statement having two equal sides and then an equal sign in the midpoint is called an equation in mathematics. The conceptual model of any formula contains the degrees of all the variables given descending order. The typical form of a linear equation is an x + b = 0. This same general form of a mathematical expression with two variables is an x + b y + c = 0. (or something similar). Inequalities can be categorized either identities or dependent equations. An id holds true regardless of the value given to the variables.
given
Knowing the axis and vertex of a parabola allows one to determine the directrix of the curve.
The equation of the directrix of this parabola is x + a = 0 for an equation of the parabola in standard form [tex]y^{2} = 4ax[/tex], with focus at (a, 0) axis as the x-axis.
equation = [tex]y^{2}-6y-2x+19[/tex]=0
directrix x = h−p
(y−k)2 = 4p(x−h),p≠0
Directrix: x=4.5
The equation's directrix of [tex]y^{2}-6y-2x+19=0[/tex]. is 4.5 since this parabola's directrix's equation is x + a = 0.
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The complete question is:-
Find the directrix of this equation of y2-6y-2x+19=0
6. Calculate the total monthly cost including another
$300 per month for taxes and another $150 per
month for insurance
Answer:
450 plus whatever other costs there are if there are any
Step-by-step explanation:
300+150=450 so it is 450 plus any other ammount of money you must pay if any
How many square feet of outdoor carpet will we need for this hole?
The amount of outdoor carpet that will be needed for the hole in square feet will be = 40ft²
How to calculate the quantity of outdoor carpet needed?To calculate the quantity of outdoor carpet needed is to subtract the square and the rectangular areas that were not covered from the whole rectangular area that was covered.
The area of the square = length×width = 3×2 = 6ft²
The area of the rectangule = length×width = 1×2 =2ft²
The area of the whole hole = l×w = 4× 12= 48ft²
Therefore, the area of the outdoor carpet that will be needed for the hole in square feet would be;
= 48 - ( 2+6)
= 48 - 8
= 40 ft²
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HELP
_____________________________
The required trasformation is given as,
(A) Function f translated 4 units down.
(B) Function f translated 3 units left.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here.
Given function
f(x) = ∛[x + 1]
put x = -3 and y = y - 4
f(x) = ∛[x - 3 + 1] - 4
f(x) = ∛[x - 2] - 4
Thus, the required trasformation is given as,
(A) Function f translated 4 units down.
(B) Function f translated 2 units left.
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Lisa is flying from Boston to Denver with a connection in Chicago. The probability her first flight leaves on time is 0.25 . If the flight is on time, the probability that her luggage will make the connecting flight is 0.8 , but if the flight is delayed, the probability that the luggage will make it is only 0.65. Suppose you pick her up at the Denver airport and her luggage is not there. What is the probability that her first flight was delayed?
Answer:
The probability is 0.33
Step-by-step explanation:
Please find the attachment for detail
The natural numbers are a subset of all of the following sets except the integers numbers whole numbers real numbers irrational numbers
Answer: irrational numbers
Step-by-step explanation:
By definition, natural numbers are rational numbers.