The elevation is 848 feet.
What is meant by elevation?The word elevation is often used to describe locations on the surface of the Earth, whereas altitude or geopotential height is used to describe locations above the surface, such as those of flying aeroplanes or orbiting satellites, and depth is used to describe locations below the surface.
A geographical feature's elevation is determined by how high it is above the mean sea level (MSL). Accordingly, elevation is the distance between the height that corresponds to the ocean's surface and the top of the feature.
Given:
Hilda hiked up 530 feet,
down 602 feet,
up 1003 feet,
and down 89 feet to get to the lake.
Taking all similar cases together
Hiked up
= 530 + 1003
= 1533 feet
and, hiked down
=602+83
= 685
Thus, the elevation is
= 1533 - 685
= 848
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Jamie is 5 years older than her sister amy. If the sum of their ages is 19. how old is Jamie?
Considering the age of Amy and sum of their ages, Jamie is 12 years old.
Let the age of Amy be x years. Thus, the age of Jamie be (x + 5) years. Forming equation as per the age -
x + x + 5 = 19
Performing addition on Left Hand Side of the equation
2x + 5 = 19
Shifting 5 to Right Hand Side of the equation
2x = 19 - 5
Performing subtraction on Right Hand Side of the equation
2x = 14
Shifting 2 to Right Hand Side of the equation
x = 14 ÷ 2
Performing division to Right Hand Side of the equation
x = 7
The age of Amy = 7 years
The age of Jamie = 7 + 5
Performing addition
The age of Jamie = 12 years
Thus, the age of Jamie is 12 years old.
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Ellen’s dog has a pen that is 32 feet by 33 feet. What is the area of the dog pen?
A rectangle with length 3 cubed feet and width of 3 squared feet.
Find the area.
1. Multiply powers: 32 · 33
2. Expand each power: (3 · 3) · (3 · 3 · 3)
3. Simplify: 35
Complete each sentence.
The
of the original exponent is the exponent in the power of product.
The dog pen has an area of
square feet.
If Ellen's dog has a pen that is [tex]3^{2}[/tex] feet by [tex]3^{3}[/tex] feet, then the area of the dog pen is 243 square feet
Here the Ellen's dog pen is in rectangular shape
The area of the rectangle = l × w
Where l is the length of the rectangle
w is the width of the rectangle
In this question
The length of the rectangle = [tex]3^{2}[/tex] feet
= 3×3
= 9 feet
The width of the rectangle = [tex]3^{3}[/tex] feet
= 3×3×3
= 27 feet
Then the area of the dog pen = l × w
Substitute the values in the equation
The area of the dog pen = 9×27
= 243 square feet
Hence, if Ellen's dog has a pen that is [tex]3^{2}[/tex] feet by [tex]3^{3}[/tex] feet, then the area of the dog pen is 243 square feet
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Sum
243
I found it on edge
20/24 equals 45/50 true or false
bring the fractions to a common denominator
[tex]undefined[/tex]A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negative 6 comma 2, C at negative 2 co If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. (5 points)
The coordinates of the image of polygon A'B'C'D' after a translation of 4 units down and 5 units right would be A' (-1, 1), B' (-1, -2), C' (3, -2), D' (3, 2).
What is a translation?In Geometry, the translation of a geometric figure to the right simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image and translating a geometric figure down simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.
By translating the pre-image of polygon ABCD vertically down 4 units and horizontally right 5 units, the coordinates of the image of polygon A'B'C'D' include the following:
(x, y) → (x + 5, y - 4)
Coordinate A = (-6, 5) → Coordinate A' (-6 + 5, 5 - 4) = (-1, 1)
Coordinate B = (-6, 2) → Coordinate B' = (-6 + 5, 2 - 4) = (-1, -2)
Coordinate C = (-2, 2) → Coordinate C' = (-2 + 5, 2 - 4) = (3, -2)
Coordinate D = (-2, 6) → Coordinate D' = (-2 + 5, 6 - 4) = (3, 2)
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100 POINTS + BRAINLEIST IF CORRECT
A kite contains four inner angles, which add up to 360 degrees. It has one pair of equal and opposite obtuse angles in each of these angles.
Answer:
∠D = 94°
Step-by-step explanation:
A kite is a quadrilateral.
Therefore, the sum of its interior angles is 360°.
⇒ ∠A + ∠B + ∠C + ∠D = 360°
⇒ 108° + ∠B + 64° + ∠D = 360°
⇒ 172° + ∠B + ∠D = 360°
⇒ ∠B + ∠D = 188°
A kite has one pair of opposite (obtuse) angles that are equal.
Therefore, ∠D = ∠B.
⇒ ∠B + ∠D = 188°
⇒ ∠D + ∠D = 188°
⇒ 2∠D = 188°
⇒ ∠D = 94°
that passes through the points
M (5-3) and N (8,1)
What is the slope of the line
Answer:
The slope of the line is 4/3
Step-by-step explanation:
slope = rise/run = y2-y1/x2-x1
1-(-3)/8-5 = 4/3
The slope of the line is 4/3
Find the y-intercept of the line on the graph. Help pls!
Answer:
Y-intercept is 4
Step-by-step explanation:
due to X and Y lines it would be 4 lol
Have a good day
Answer:
It is 4
Step-by-step explanation:
The line intercepts the y axis at 4
Mark me as brainliest
Given f(x) = (x-7)(x + 4) and g(x) = x + 4, find (f/g)(x)
Kesha is an hourly worker and is paid bi-weekly. Her wage is $25, and she is scheduled for 8 hours a day for 5 days a week. She also works 4 hours every other Saturday at time-and-a-half pay. How much is the gross income on Kesha’s paystub normally?(1 point) Responses $2,000 $2,000 $2,100 $2,100 $2,150 $2,150 $4,300
Answer:
$2,150
Step-by-step explanation:
GivensWe are given that Kesha is an hourly worker, is paid bi-weekly, and her wage is $25.
We are also told that she works 40 hours a week (derived from 8 hours a day for 5 days a week) and that she works 4 hours every other Saturday at time-and-a-half pay.
We are asked to find Kesha's gross income on her pay stub.
SolveFirst, determine her weekly wage by multiplying her hourly wage by the number of hours she works each week:
[tex]\$25 \times 40 = \$1,000[/tex]
Then, multiply this value by 2 since Kesha is paid bi-weekly (twice a month):
[tex]\$1,000 \times 2 = \$2,000[/tex]
Then, determine her time-and-a-half pay by first multiplying her hourly wage by 1.5:
[tex]\$25 \times 1.5 =\$37.50[/tex]
Then, multiply this value by 4 to represent the hours she works every other Saturday:
[tex]\$37.50 \times 4 = \$150[/tex]
NOTE: Since "every other Saturday" means twice a month, this is the same definition as bi-weekly. Therefore, no adjustments need to be made to this value.
Finally, add her time-and-a-half pay to her bi-weekly pay:
[tex]\$2,000 + \$150 = \$2,150[/tex]
Final AnswerTherefore, Kesha's gross income on her pay stub is $2,150.
PLEASE HELP!!! Ignore the small text at the bottom.
The equation that represents the miles of the car's odometer after 2020 is y = 14000x
Odometer:
Basically Odometer is the instrument used for measuring the distance traveled by a vehicle, such as a bicycle or car.
Given,
An odometer shows that a car has traveled 56,000 miles by January 1, 2020. The car travels 14,000 miles each year.
Here we need to write an equation that represents the number y of miles on the car's odometer x years after 2020
Through the given question we know that,
x represents the year
y represents the miles
We know that, for one year it will travels 14,000 miles.
Then the equation is written as,
miles = number of years x 14000
Therefore, the equation is,
y = 14000x
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A street has the coordinates (-2, -5) and (5, 9). What is a parallel street to that one? (Write answer in slope-intercept form)
The parallel street to that one lines on the equation y = 2x -1
Slope of a LineTo find the parallel street to the one we have the points given, we have to first of all, find the slope of the given point and then pick a coordinate.
Point A = (-2, -5)Point B = (5, 9)Using the value above, let's find the slope of the line.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\[/tex]
Let's substitute the values into the equation and solve.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{9 - (-5)}{5 - (-2)} \\m = \frac{14}{7} \\m = 2[/tex]
The slope of the line is equal to 2.
Let's use this to find the equation of the line
[tex]y = mx + c[/tex]
Using one of the points,
[tex]y = mx + c\\9 = 2(5) + c\\9 = 10 + c\\c = - 1\\[/tex]
The equation of the line is
[tex]y = 2x - 1[/tex]
From the calculation above, the equation of the line is y = 2x - 1
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please help me I keep getting the answer wrong
1) Record each of these numbers in expanded notation. The first one is done.
2128 = (2 x 1000) + (1 x 100) + (2 x 10) + (8 x 1) = 2000 + 100 + 20 + 8
4629 =
8338 =
Answer:
4629= (4×1000)+(6x100)+(2x10)+(9×1)=4000+600+20+9
8338=(8 x 1000)+ (3x100)+(3×10)+(8x1)=8000+300+30+8
Step-by-step explanation:
separate each number and multiply by the place its in
5th p
5th 5248987 5th 5668746i89
This is easy but I just don’t have time please answer.
The nearest degree of the measure of the angle having trigonometric ratios are answered below.
What are trigonometric ratios?The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others. Review the sine, cosine, tangent, cotangent, secant, and cosecant trigonometric ratios. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle.
Given Data
Trigonometry Ratios:
1) cosine x = 0.8988
cos⁻¹ = 26.103°
2) sine x = 0.6691
sine⁻¹ x = 41.99°
3) tangent x = 2.50
tan⁻¹ x = 68.2°
4) tan x = 20
tan⁻¹ x = 87.14°
5) sin x = [tex]\frac{6}{11}[/tex]
sin⁻¹ x = 0.518
6) cos x =[tex]\frac{7}{9}[/tex]
cos⁻¹ = 0.7
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what is the different between 5,781 and 57.81
Answer: 5,723.19
Step-by-step explanation:
to find the answer you subtract 57.81 from 5781 to get 5,723.19
Is that what you were asking? I hope so.
{x>2}∩{x|x≤4}
please solve
GOOD LUCK! ????????????????????????????????????????????????????????????????????????????????////
Melinda has a goal of donating at least $300 to charity this year. Her mother and father each gave her $25 to help and she is selling ribbons for $5 each. What is the least number of ribbons Melinda must sell to reach her goal?
Answer:
50
Step-by-step explanation:
25x2=50
300-50=250
250/5=50
50 ribbons needed :) hope this helped
Find the area of the rectangle.
1 1/2 yd
58/ 8 yd
The area of the rectangle is calculated by L*B
The area of the rectangle is 10.875 yards^2.
How to calculate the area?l = 58/ 8 yd = 7.25yd
b = 1 1/2 yd = 1.5yd
Solution:
The area of the rectangle is calculated by L*B
Therefore,
L*B = 7.25* 1.5
= 10.875 yards^2.
The area of the rectangle is 10.875 yards^2.
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A clone has a volume of 1, 526.81 mm^3 and a height of 19mm. Find the radius of the cone
Radius of the cone is 8.75mm.
What is volume?Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies. Volume is measured in cubic units like m³, cm³, in³, etc. Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given Data
Volume = 1526.81 mm³
Height = 19mm
Formula of volume of cone:
V= [tex]\frac{1}{3}[/tex]πr²h
Equating values,
1526.81 = [tex]\frac{1}{3}[/tex]×[tex]\frac{22}{7}[/tex]r²×19
[tex]\frac{1526.81(3)(7)}{22(19)}[/tex] = r²
76.7 = r²
r = 8.75
So,
Radius of the cone is 8.75mm.
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A, B, C, D, E, F, G & H form a cuboid.
AB= 3.2 cm, BC = 1.6 cm & CG = 7.7 cm.
Find AG rounded to 1dp
The length of AG=8.5 cm that is diagonal. There are four body diagonals of cuboid and twelve face diagonals. A body diagonal is referred to as the diagonal of cuboid. The diagonal of cuboid formula is √(l² + b² + h²) units.
What is cuboid?A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid means "like a cube," in the sense that a cuboid can be converted into a cube by varying the length of its edges or the angles between its faces.
What is diagonal?A diagonal in geometry is a line segment that connects two polygonal vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.
A, B, C, D, E, F, G & H form a cuboid. AB= 3.2 cm, BC = 1.6 cm & CG = 7.7 cm. That is l=3.2 cm, b=1.6 cm, h=7.7 cm.
√(l² + b² + h²) units.
=√(3.2²+1.6²+7.7²)
=8.49 cm
≈8.5 cm
A body diagonal is referred to as the diagonal of cuboid. The diagonal of cuboid formula is √(l² + b² + h²) units. The length of AG=8.5 cm that is diagonal. There are four body diagonals of cuboid and twelve face diagonals.
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a binomial experiment with probability of success and trials is conducted. what is the probability that the experiment results in exactly successes? do not round your intermediate computations, and round your answer to three decimal places. (if necessary, consult a list of formulas.)
The probability that the experiment results in exactly successes is; [tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Consider that we have random variable X about binomial distribution with parameters n and p, then it can be written as;
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there be x successes is given as;
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value and variance of X are given as:
[tex]E(X) = np\\Var(X) = np(1-p)[/tex]
Hence, the probability that the experiment results in exact success are;
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
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A rectangle as shown has a length of 11 centimeters and a width of 4.2 centimeters. A circle is drawn inside that touches the rectangle at two points. Which is the closest to the total area of the shaded region?A. 9.19 cm squaredB. 101.59 cm squared C. 60.05 cm squared D. 32.35 cm squared
The area of a rectangle can be calculated with this formula:
[tex]A_r=lw[/tex]Where "l" is the length and "w" is the width.
The area of a circle can be found with this formula:
[tex]A_c=\pi r^2[/tex]Where "r" is the radius of the circle.
Let be "d" the diameter of the circle shown in the picture. Since it touches the rectangle at two points, you can identify that:
[tex]d=w[/tex]Since the radius of a circle is half the diameter, in this case this is:
[tex]d=\frac{4.2cm}{2}=2.1\operatorname{cm}[/tex]Therefore, the area of the circle is:
[tex]A_c=\pi(2.1\operatorname{cm})^2=13.85\operatorname{cm}^2[/tex]Now you must find the total area of the rectangle. Knowing that:
[tex]\begin{gathered} l=11\operatorname{cm} \\ w=4.2\operatorname{cm} \end{gathered}[/tex]You get:
[tex]A_r=(11\operatorname{cm})(4.2\operatorname{cm})=46.2\operatorname{cm}^2[/tex]In order to find the total area of the shaded region, you must subtract the total area of the rectangle and the area of the circle. Then, this is:
[tex]A_{sr}=46.2\operatorname{cm}-13.85\operatorname{cm}=32.35\operatorname{cm}^2[/tex]The answer is: Option D.
Is this correct? Kinda confused on what to do. (Look at picture)
Answer:
yes correct . your solution is correct
Answer:
6.5 × 10^9 kg
Step-by-step explanation:
Here is the answer to the question the way it is asked, but the question is ridiculous. 1 kernel of popcorn has a mass of perhaps 1.5 g, so 1.25 g is reasonable. That means 1 kernel has a mass of 0.00125 kg, or 1.25 × 10^-3 kg. To state that 1 kernel of popcorn has a mass of 1.25 × 10^1 means that a kernel of popcorn has a mass of 12.5 kg which corresponds to a weight of approximately 27.6 lb. That is just ridiculous.
Using the ridiculous information given in the problem, then if 1 kernel has a mass of 1.25 × 10^1 kg, then 5.2 × 10^8 kernels have a mass of
(1.25 × 10^1 kg) × (5.2 × 10^8) =
= (1.25 × 5.2) × (10^1 × 10^8) kg
= 6.5 × 10^9 kg
Your number is correct, but don't forget the units.
PLEASE HELP 50 POINTS + BRAINLY FOR ALL AND CORRECT ANSWERS!!!
The values of x and y in the functions are
y = 6x + 8: y = -28 and x = 2y = 2/3x: y = -4 and x = 30y = -x + 5: y = -1 and x = -15y = 6.5x + 7: y = -32 and x = 2How to determine the functions at the x and y valuesFunction 1
This is given as
y = 6x + 8
When x = -6, we have
y = 6 x -6 + 8
Evaluate
y = -28
When the equation y = 20, we have
20 = 6x + 8
Evaluate the like terms in the above function
6x = 12
Divide by 6
x = 2
Function 2
This is given as
y = 2/3x
When x = -6, we have
y = 2/3 x -6
Evaluate
y = -4
When the equation y = 20, we have
20 = 2/3x
Evaluate the like terms in the above function
20 = 2/3x
Divide by 2/3
x = 30
Function 3
This is given as
y = -x + 5
When x = -6, we have
y = -6 + 5
Evaluate
y = -1
When the equation y = 20, we have
20 = -x + 5
Evaluate the like terms in the above function
x = -15
Function 4
This is given as
y = 6.5x + 7
When x = -6, we have
y = 6.5 x -6 + 7
Evaluate
y = -32
When the equation y = 20, we have
20 = 6.5x + 7
Evaluate the like terms in the above function
6.5x = 13
Divide by 6.5
x = 2
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4/5÷3/4 i need to know it
To divide two fractions, simply cross-multiply as following:
THERE IS 5 QUESTIONS I NEED TO GET DONE IN TOTAL, BUT IT WONT LET ME PUT MANY PICS IN ONE QUESTION SO PLS GO TO MY ACC AND VIEW THE OTHER 3!!I NEED THIS BY **TODAY**
Answer:
y=2x
Step-by-step explanation: given (0,0) (1,2)
y=mx+b
0=(m*0)+b
0=b
2=(1*m)+
2=m
y=mx+b
y=2x
If f(x) = kx^3+ x^2 − kx + 2, find a number k such that the graph of f contains the point (2, 12).
Answer:
k = 1
Step-by-step explanation:
since the graph contains the point (2, 12 ) then the coordinates of the point make the equation true.
substitute x = 2 and f(x) = 12 into the equation and solve for k
12 = k(2)³ + 2² - k(2) + 2 , that is
12 = 8k + 4 - 2k + 2
12 = 6k + 6 ( subtract 6 from both sides )
6 = 6k ( divide both sides by 6 )
1 = k
Which expression can be used to find the total number of squares below?
6 × 7
7 × 5
6 × 1
7 + 5
6 + 1
7 × 5 is used to find the total number of squares.
Each has 7 small squares.
There are 5 parts,
So we can write:
7+7+7+7+7
That is adding 7 five times. By this we get the total number of square.
So by multiplying 7 by 5 we get the total number of square.
= 7× 5
Therefore the expression 7×5 is used to find the total number of squares.
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Liz's math test included a survey question asking how many hours students spent studying for the test. Thescatter plot below shows the relationship between how many hours students spent studying and their score onthe test. A line was fit to the data to model the relationship.Which of these linear equations best describes the given model?A) ŷ = 10x + 20B) ŷ = 20x + 20Or C) ŷ = -20x + 20Based on this equation, estimate the score for a student that spent 3.8 hours studying.Round your answer to the nearest hundredth.__________.
Answer: B. y = 20x +20
The score for a student that spent 3.8 hours studying is expected to be 96.
Step by step solution:
The point-slope form of a linear equation is y = mx + b, where m is the slope and b the intercept with the y-axis.
To find the line that fits the data and model the relationship, we need to find the slope. Let
y = Test score
x = Study time (hours)
[tex]\begin{gathered} m=\frac{y_1-y_2}{x_1-x_2} \\ (x_1,y_1_{})\text{ and }(x_2,y_2)\text{ Point in the line} \end{gathered}[/tex]Two pair of coordinates from the line are (2, 60) and (3, 80):
[tex]m=\frac{60-80}{2-3}=\frac{-20}{-1}=20[/tex]We have m = 20, and b = 20 (intercept with the y-axis)
The equation that model the relationship is:
[tex]y=20x+20[/tex]Second Part. Basing ourselves on the above equation, estimate the score for a student that spent 3.8 hours studying x = 3.8.
[tex]\begin{gathered} y=(20\cdot3.8)+20 \\ y=76+20 \\ y=96 \end{gathered}[/tex]The score for a student that spent 3.8 hours studying is expected to be 96.
geometry pls help its easy im just slow
Answer:
3/7
Step-by-step explanation:
how do you make y squared equal 169
Answer:
13
Step-by-step explanation:
A number squared is a number multiplied by itself.
13 x 13 = 169.
The answer is 13.
Hope this helps!
P.S, Brainliest please! Thanks!
Answer:
[tex]y^{2}[/tex] = 169
Meaning that
[tex]\sqrt{y^2}[/tex] = [tex]\sqrt{169}[/tex]
Simplify...
y = 13