The elevation at which the race ends is given by the equation A = 195 feet
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the elevation at which the race ends be A
Now , the equation will be
The bike road race starts at an elevation of 500 feet
So , the initial elevation = 500 feet
The number of stages = 5 stages
The elevation at first stage = -139 feet
The elevation at second stage = -63 feet
The elevation at third stage = 197 feet
The elevation at fourth stage = 27 feet
The elevation at fifth stage = -327feet
So , the total elevation of all the stages during the bike race = initial elevation + elevation at first stage + elevation at second stage + elevation at third stage + elevation at fourth stage + elevation at fifth stage
Substituting the values in the equation , we get
The total elevation of all the stages during the bike race = elevation at which the race ends A
So ,
Elevation at which the race ends A = 500 + (-139) + (-63) + (197) + (27) + (-327)
On simplifying the equation , we get
Elevation at which the race ends A = 500 - 305
Elevation at which the race ends A = 195 feet
Therefore , the value of A is 195 feet
Hence , the race ends at an elevation of 195 feet
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Is the value of the first 7 ten times as great as the value of the second 7 in 7237
Answer:
no
Step-by-step explanation:
• Jason runs 8 miles in an hour and bikes 12 miles in an hour.
. This week, he runs a total of 3 hours and bikes a total of 6 hours.
please help me with this
Answer: 630
Step-by-step explanation:
Evaluate 9du when d=10 and u=7
⇒9du
input the values of d and u
⇒9 (10)(7)
⇒9 × 10 × 7
⇒630 answer.
hope that helps...
Answer:
630
Step-by-step explanation:
as the problem shows that the variable for d = 10, and u = 7.
it asked to solve 9du (or 9 × d × u )
we can plug in the numbers into the variables:
9 × 10 × 7
9 × 10 = 90 × 7 = 630
Write an
inequality in which one of the solutions is the same as the
solution to x - 23 = 191.
Answer: x-100 < 115
Step-by-step explanation: X is less then 215
Classify the solid.
PLS HELPP
Quad. PQRS ~ Quad. TUVW, Owe side of PORS has the length 12. The corresponding side of TUVW has length 15. The perimeter of TUVW is 35 and the perimeter of PQRS is?
Pls help me solve this!!
Therefore , the solution of the given problem of perimeter comes out to be PQRS = 29 units.
Establish a perimeter.The perimeter, or total length, of a shape is referred to as its perimeter in geometry. A shape's perimeter is calculated by summing the lengths of all of its sides and edges. By adding together the lengths of all a shape's sides, one may determine its perimeter. The circumference of a field, for instance, will be 78 yards for a rectangle with dimensions of 24 yards long by 15 yards wide.
Here,
Given : PQRS has the length 12
and TUVW has length 15.
thus ,
To find the perimeter of PQRS:
we find,
TUVW = 35 units
and
PQRS = 35 - 6
=> PQRS = 29
Therefore , the solution of the given problem of perimeter comes out to be PQRS = 29 units.
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Please help me I don’t understand this at all
Answer:
A and D
option A is correct because if you do 4/5 times 2/2 you get 8/10
so that means they both are Equal.
option D is also correct
because
after 6/10 It’s 7/10, 8/10..
Write an equivalent expression.
Answer:
6x-7
Step-by-step explanation:
4x+2x-7
6x-7
if its a linear equation in two variables
Answer:
SOLVE A SYSTEM OF LINEAR EQUATIONS BY GRAPHING.
Graph the first equation.
Graph the second equation on the same rectangular coordinate system.
Determine whether the lines intersect, are parallel, or are the same line.
Identify the solution to the system. ...
Check the solution in both equations.
Step-by-step explanation:
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.
Laura, Tom and Alex share £95 in the ratio 8:7:4 find how much money each of them will receive
Answer:
Laura: £40Tom: £35Alex: £20Step-by-step explanation:
You want the amount of money each receives if Laura, Tom, and Alex share £95 in the ratio 8:7:4.
Ratio unitsThe total number of ratio units is 8+7+4 = 19, corresponding to a total amount of £95. That makes each ratio unit represent £95/19 = £5.
Multiplying the ratio units by £5, we find the distribution to be ...
Laura : Tom : Alex = £40 : £35 : £20
Answer:
Money received by Laura = 8x = 8x5 = £40
Money received by Tom = 7x = 7x5 = £35
Money received by Alex = 4x = 4x5 = £20
Step-by-step explanation:
Given ,
Laura, Tom and Alex share £95 in the ratio 8:7:4To Find : How much money will each of them receive
Let us take the variable as 'x' to find the money received by them
When we convert it to a equation
8x+7x+4x = 95
19x = 95
x = [tex]\frac{95}{19}[/tex]
x = 5
Money received by Laura = 8x = 8x5 = £40
Money received by Tom = 7x = 7x5 = £35
Money received by Alex = 4x = 4x5 = £20
Hence, the money received by each of them is £40, £35 and £20
helo i need help with my math please thanky uo i need help with question 3
On one tank of gas Charlie will drive 612 km
At a cost of 149.9, Charlie will fill the tank with the sum of 8994
Annual cost of filling the tank 467688
How to find how far Charlie can drive on one tank of gasInformation from the problem have it that the efficiency if the Volkswagen golf is 10.2 km/L
Hence, on one liter rides 10.2 km and on a tank which is 60 L Charlie will ride
= 60 * 10.2
= 612 km
Cost of filling the tank
The cost per liter is 149.9 for 60 L we have
= 149.9 * 60
= 8994
Filling the tank once week, the cost for filling in one year is
1 year is 52 weeks
= 8994 * 52
= 467688
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8.326 rounded to the nearest tenth
Answer:
8.3
Step-by-step explanation:
The number after three is below 5 so it stays as 8.3
his mapping shows a functional relationship. A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (2, 4), (negative 3, 0), (negative 1, negative 1), (4, 3). When f(x)=4, what is the value of x? 0 2 3 4
when f(x)=4, then the value of x is 2
What is a function?A relation is a function if it has only One y-value for each x-value.
Given that A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs:
The ordered pairs are (2, 4), (-3, 0), (- 1, -1), (4, 3)
We need to find value of x when f(x)=4
In the (x, y) ordered pair the x place represents the domain value and y place represents the range.
In the order pairs we have to look for the y value which has 4.
The corresponding element of 4 is the x value
So the value of x is 2 if f(x)=4
Hence, when f(x)=4, then the value of x is 2
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which is a equivalent expression to 3^3x3^3x3?
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3^3\times3^3\times3}[/tex]
[tex]\mathsf{3^3 = 3 \times3\times3 = 9\times 3 = \bf 27}[/tex]
[tex]\mathsf{27\times27\times3 =\ ? }[/tex]
[tex]\mathsf{27\times27 = \bf 729}[/tex]
[tex]\mathsf{729\times 3}[/tex]
[tex]\mathsf{= \bf 2,187}[/tex]
[tex]\large\text{So you are looking for: \bf 2,187}[/tex]
[tex]\large\text{Option A.}[/tex]
[tex]\mathsf{3^6}[/tex]
[tex]\mathsf{= 3\times3\times3\times3\times 3\times3}[/tex]
[tex]\mathsf{3\times 3 = \bf 9}[/tex]
[tex]\mathsf{= 9\times 9\times 9}[/tex]
[tex]\mathsf{9\times9 = \bf 81}[/tex]
[tex]\mathsf{= 81\times9}[/tex]
[tex]\mathsf{= \bf 729}[/tex]
[tex]\large\text{So Option A is NOT equivalent because it is too small }[/tex]
[tex]\large\text{Option B.}[/tex]
[tex]\mathsf{3^7}[/tex]
[tex]\mathsf{= 3\times3\times3\times3\times3\times3 \times3}[/tex]
[tex]\mathsf{3\times 3 = \bf 9}[/tex]
[tex]\mathsf{= 9\times9\times9\times3}[/tex]
[tex]\mathsf{9\times9 = \bf 81}[/tex]
[tex]\mathsf{81\times9\times3}[/tex]
[tex]\mathsf{81\times 9 = \bf 729}[/tex]
[tex]\mathsf{729\times3}[/tex]
[tex]\mathsf{= \bf 2,187}[/tex]
[tex]\large\text{Option B. could possibly be your answer}[/tex]
[tex]\mathsf{3^9}[/tex]
[tex]\mathsf{= \bf 19,683}[/tex]
[tex]\large\text{Option C. Can’t be your answer because it’s too big!}[/tex]
[tex]\mathsf{3^{12}}[/tex]
[tex]\mathsf{= \bf 531,441}[/tex]
[tex]\large\text{Option D. cannot be your answer because it is way too big}\\\ \large\text{similar to your original answer (2,187)}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge Option B.}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer: ur answer is B mark me brainliest
Step-by-step explanation:
ANSWER FAST
NO LINKS
q>d, if d=3
Answer:
q = 4 or above
Step-by-step explanation:
"4 or above" means 4, 5, 6, 7.... so on. ">" means greater than, meaning any number that is on the bigger side of the symbol is greater/more than the number on the other side. Example:
q > d
4 > 3
5 > 3
Question 5 of 35:
find the value of 10!/8!
9514 1404 393
Answer:
90
Step-by-step explanation:
10! = 10 × 9 × 8!
so 10!/8! = 10×9 = 90
__
The factorial of an integer is the product of that integer and all the positive integers less than it. So, 3! = 3×2×1, for example. 0! is defined as 1.
What is 4 5/7 + 4 1/4
Answer:
8 27/28 or 251/28
Step-by-step explanation:
Find common denominators then simply add.
Select all the correct answers. A farmer wants to build two fenced-off sections within his field, one in the shape of a rectangle and the other in the shape of a square. The side of the square must be equal to the width of the rectangle, x feet. The length of the rectangle must be 50 feet longer than its width. The field the farmer wants to build the two fenced sections in has an area of y square feet. The difference of the area of this field and the area of the fenced, square section needs to be at least 1,000 square feet. In addition, the sum of the fenced areas must be less than the area of the field. This is the system of inequalities that represents this situation. Which points represent viable solutions?
(20, 2,200) and (5, 3,000) are the viable solutions of the given inequality.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that the side of the square must be equal to the width of the rectangle, x feet.
The length of the rectangle must be 50 feet longer than its width
The field the farmer wants to build the two fenced sections in has an area of y square feet.
The difference of the area of this field and the area of the fenced, square section needs to be at least 1,000 square feet
the sum of the fenced areas must be less than the area of the field.
y≥x²+1000
y>2x²+50x
(20, 2,200) and (5, 3,000) are the viable solutions
Hence, (20, 2,200) and (5, 3,000) are the viable solutions of the given inequality.
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Can please answer me please faster if know what the answer please?!!!!
Answer:
7%
Step-by-step explanation:
Add up all of the hot drinks that were ordered:
5 + 48 + 22 = 75
So 75 total hot drinks were ordered.
Of those, only 5 were small. So 5/75 were small drinks.
Then find that as a percentage.
5/75 = x/100
To get to 100, 75 is multiplied by 4/3. So multiply 5 by the same number and you get 6.66666667, which rounds 7% and that is your answer,
Only answer if you’re sure :) thank you
Answer:
[tex] \frac{1}{-2} [/tex]
4) Edgar builds a sand castle with a rectangular base. The side lengths of the base are 25 in, and 16 in. He wants
to surround the castle's base with a moat that is w inches wide. Write a quadratic function, A, in standard form to
represent the combined area taken up by the castle and the moat.
16in.
25 in.
Answer:
4w² + 82w + 400
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients involving addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A quadratic function is a polynomial of degree 2. The standard form of a quadratic equation is:
ax² + bx + c
The moat has width of w inch. Therefore:
combined width of castle and moat = 16 in + w in + w in = 16 + 2w in
combined length of castle and moat = 25 in + w in + w in = 25 + 2w in
The combined area = length * width = (16 + 2w)(25 + 2w) = 400 + 32w + 50w + 4w² = 4w² + 82w + 400
Answer:
A(w) = 4 w^2 + 82 w + 400
Step-by-step explanation:
Person above me is correct. :)
Solve each equation.
a.(8.5) ⋅ (- 3) = a
b.(- 7) + b = (-11)
c.c - (- 3) = 15
d.d⋅ (-4) = 32
Figures A and b are similar. Figure A has an area of 18 square feet. Figure b has an area of 98 square feet and one of the sides lengths is 14 feet find the corresponding side length
Answer:
6 ft
Step-by-step explanation:
The ratio of the square of the sides of two similar figures = the ratio of their area
Let x represent the missing side corresponding side length
Therefore,
Area of figure B/area of figure A = square of side length of figure B/square of the side length of figure A
Thus:
98/18 = 14²/x²
98/18 = 196/x²
Cross multiply
98*x² = 196*18
98x² = 3,528
Divide both sides by 98
x² = 3,528/98
x² = 36
x = √36
x = 6
Therefore, missing corresponding side length = 6 ft
The corresponding side length is 2.57 feet
Similar shapesGiven that figures A and b are, hence the ratio of the area to the length is equal to a constant as shown:
[tex]\frac{A}{L} = \frac{a}{l}[/tex]Substitute the given parameters into the formula to have:
A = 98 square feet
L = 14 square feet
a 18 square feet
[tex]\frac{98}{14} = \frac{18}{l}\\98l=252\\l = 2.57 feet[/tex]
Hence the corresponding side length is 2.57 feet
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fatima flies her drone 5 feet above the ground diamond she rotates the drone to the right so far the drone has flown a total of 12 feet how far is the drone from the start point
Therefore , the solution of the given problem of triangle comes out to be the distance of the drone from the start point is 13feet.
What is the triangle?Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.
Here,
Given : Height of drone = 5 feet
and distance of drone covered is 12 feet
Thus ,
to calculate the distance of the drone from the start point
distance can be represented as H
Since it forms right triangle.
By using pythagoras theorem,
=> 5² + 12² = H²
=> H² = 169
=> H = √169
=> H = 13
Therefore , the solution of the given problem comes out to be the distance of the drone from the start point is 13feet.
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PLEASE HELP ME EASYYYYYY MATH QUESTION BRAINLIEST
what percent is equivalent to the fraction 8/100? Enter your answer in the box. __ %
Answer:
8% is equivalent to the fraction 8/100
Step-by-step explanation:
(100 points) Need help asap!
The function f(x) is defined below. What is the end behavior of f(x)?
[tex]f(x)=\frac{1}{9} x^{12}[/tex]
A. as x→−∞,f(x)→−∞ and as x→∞,f(x)→∞
B. as x→−∞,f(x)→−∞ and as x→∞,f(x)→−∞
C. as x→−∞,f(x)→∞ and as x→∞,f(x)→−∞
D. as x→−∞,f(x)→∞ and as x→∞,f(x)→∞
The function f(x) is defined below. What is the end behavior of f(x)?
[tex]f(x)=-\frac{1}{10} x^{18}[/tex]
A. as x→−∞,f(x)→−∞ and as x→∞,f(x)→∞
B. as x→−∞,f(x)→−∞ and as x→∞,f(x)→−∞
C. as x→−∞,f(x)→∞ and as x→∞,f(x)→−∞
D. as x→−∞,f(x)→∞ and as x→∞,f(x)→∞
The end behavior of the function f(x) = 1/9 x¹² is
D. as x→−∞,f(x)→∞ and as x→∞,f(x)→∞The end behavior of the function f(x) = -1/10 x¹⁸ is
B. as x→−∞,f(x)→−∞ and as x→∞,f(x)→−∞What is end behavior?The end behavior of function typically says the characteristics of the function at the ends
How to find the end behavior of functionThe given function is:
f(x) = 1/9 x¹²
The positive exponents will mean that x will always yield positive values hence f(x) is always positive
f(x) = -1/10 x¹⁸
The positive exponents will mean that x will always yield positive values however the negative constant -1/10 will make f(x) always negative hence f(x) is always negative
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Find C. Give your answer in the simplest form.
Using the pythagoras theorem in the given figure, the required length of c is [tex]49\sqrt{6}[/tex].
What is pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean Theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides.
Who is pythagoras theorem named after?The pythagoras theorem is named after the Greek mathematician-philosopher Pythagoras.
To solve for c, first taking the small triangle in the left of the figure,
since one of the angle is 45 degree and another is 90 degree, the unlabelled angle is 45 degree. Which makes this triangle a isosceles triangle, hence the sides a and b are equal in length. i.e a = b
Using pythagoras theorem in this triangle,
[tex](7\sqrt{2} )^{2} = \sqrt{a^{2}+\ a^{2} }[/tex]
Therefore, a = 49[tex]\sqrt{2}[/tex]
Now Taking the small triangle in the right of the given figure,
tan 30 = a/c
or, [tex]\frac{1}{\sqrt{3} }[/tex] *c = 49[tex]\sqrt{2}[/tex]
Therefore , c = 49[tex]\sqrt{6}[/tex]
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PLEASE HELP THIS IS DUE IN 15 MINS !!!!!
(I GIVE BRAINLIEST)
Step-by-step explanation:
1100-825= Markup
Markup= 275
EXAMPLE 3.1.30. Let R be the relation on Z defined by ïRy ⇒ x − y is divisible by 3. Then R is an equivalence relation on Z. Find [0], [1], [2], [4], [-1]
equation in slope-intercept form of the line that pae through the point (4, 7) and is parallel to the line represented by y = 2x - 5 is ( y - y1 ) = m( x - x1 ) => y - 7 = 2 (x-8) => 2x - y - 1 = 0
What is slope?A number that specifies a line's direction and slope is known as the slope or slope of a line in mathematics. A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x).
equation is -
y = 2x - 5
since these are parallel to each other,
slope, m= 2
now the equation is -
( y - y1 ) = m( x - x1 )
y - 7 = 2 (x-8)
2x - y - 1 = 0
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Tara will draw a scale model of the garden she wants to plant. Her scale will be 1 cm=2.5 ft. What will be the actual dimensions of Tara's garden?
Answer:
parangaricutirimicuaro