Answer:
The change of Altitude is 900 feet because of the decrease in alt.
Step-by-step explanation:
16900-16000=900
**GIVING BRAINLIEST ASAP**
Are the following polynomials a function
f(x)=5x^(4)+3x^(2)+6x^(-1)-3
f(x)=(7)/(8)x^(3)+2x^(5)-6x+17
f(x)=5\sqrt(3+4x)
f(x)=(1)/(x^(2))+(1)/(x)-12x^(2)
Answer:
f(x)=5x^(4)+3x^(2)+6x^(-1)-3:yes
f(x)=(7)/(8)x^(3)+2x^(5)-6x+17:yes
f(x)=5\sqrt(3+4x):No
f(x)=(1)/(x^(2))+(1)/(x)-12x^(2):Yes
center (-4, -7), tangent to x = 2
Answer:
(x + 4)^2 + (y + 7)^2 = 36
Step-by-step explanation:
The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.
The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:
d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)
In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:
d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)
d = |-6| / sqrt(1)
d = 6
Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
Substituting the values we have found, we get:
(x + 4)^2 + (y + 7)^2 = 36
This is the equation of the circle that satisfies the given conditions.
Victoria bought a dress on 40% discount, and saved a massive $60. How much did the dress cost originally? How much did she pay for it?
Answer:
Answer: Original price = $150 Amount Paid = $90
Step-by-step explanation:
First we make a proportion 60/x = 40/100. When we cross multiply and divided to get x by itself we get $150 dollars. This is the original price of the dress. Now we take $150-$60 and we get $90. This is what Victoria paid for the dress after the 40% discount.
Hope this helps! :)
AYUDAAAAA PORFAVORRRRR
Step-by-step explanation:
the operation is fine on the setup of real number by a study
GIVING BRAINILEST! Find the perimeter of the figure!
Answer:
96 ft
perimeter: total sum of all sides
[ let counting begin from further left side ]
solve:
→ 9 + 9 + 9 + 9 + ( 30 - 18 ) + 9 + 30 + 9
→ 96 ft
what is the standard form for graphs of y-5=4/5(x-30)
Answer:
y=0.8*x -19
Step-by-step explanation:
y-5=4/5(x-30)
5*(y-5)=5*(4/5(x-30))
5y-25=4x-120
5y=4x-120+25
5y=4x-95
y=(4/5)*x -19
y=0.8*x -19
Find the missing length for the pair of similar figures
Answer:
Bb
Step-by-step explanation:
Answer:
B. 4.5 mStep-by-step explanation:
Corresponding sides have same ratio:
4/9 = 2/aa = 2*9/4a = 4.5 mCorrect option is B
PLEASE ANSWER QUICKLY IT WOULD HELP A LOT <33
when its comes to interest,most CDs will allow which of the following options?
a. Unlimited withdraws of interest
b. Periodic interest payout
c. loans against principal
d. Withdrawal of principal
When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.
A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.
However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.
While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.
Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.
So, correct option is B.
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Manny buys 16 apples at the market and 8 oranges. what are the ratios of apples to oranges ?
Answer:
2:1 or 16:8
Step-by-step explanation:
Answer:
2:1
Apple: orange
Step-by-step explanation:
Divide the number of apples by the number of oranges
Over a period of 300 days, Shawna Johnson earned $450 interest in a retirement account paying interest at a rate of 5%. Find the amount in the account at the end of 300 days.
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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HELPPPPPPPPPPPPPPPPPPPPPPPPPP
complete the synthetic division below
The quotient in polynomial form is C. x² - x ₊ 1.
What is synthetic division?In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.
The given problem is-
-3 | 1 2 -2 3
Using synthetic division method,
-3 | 1 2 -2 3
| -3 3 3
|1 -1 1 6
So, the remainder from the calculation is 6 .
And the quotient polynomial is x² - x ₊ 1.
Hence, the correct answer for the given question is C. x² - x ₊ 1
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The circumference of a circle is 15pi centimeters what is the area of the circle in terms of pi?
\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)
Write the standard form of the equation of the circle center (0,4) passes through the point (-2,-4)
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
As we know, the standard form of circle is written in this way ~
\( \qquad \sf x{}^{2} + y {}^{2} + 2gx + 2fy + c = 0\)
where, the coordinates of centre is (-g , -f) and radius equals to :
\(\qquad \sf \dashrightarrow \: \sqrt{g {}^{2} + {f}^{2} - c } \)
Now, it's time to equate the coordinates of centre ~
\( \qquad \sf( - g, - f) \: \: and \: \: (0,4)\)Here we get,
\(\qquad \sf \dashrightarrow \: - g = 0\)
\(\qquad \sf \dashrightarrow \: g = 0\)
and
\(\qquad \sf \dashrightarrow \: - f = 4\)
\(\qquad \sf \dashrightarrow \: f = - 4\)
Now, let's find the the Radius using distance formula on the given points, one of them is centre and other is point lying on circle, so distance between them is the radius.
\(\qquad \sf \dashrightarrow \: r = \sqrt{( 0 - ( - 2)) {}^{2} + (4 - ( - 4)) {}^{2} }\)
\(\qquad \sf \dashrightarrow \: r = \sqrt{ (0 + 2) {}^{2} + (4 + 4) {}^{2} } \)
\(\qquad \sf \dashrightarrow \: r = \sqrt{ (2) {}^{2} + (8) {}^{2} } \)
\(\qquad \sf \dashrightarrow \: r = \sqrt{ 4+ 64 } \)
\(\qquad \sf \dashrightarrow \: r = \sqrt{ 68 } \)
\(\qquad \sf \dashrightarrow \: r = 2\sqrt{ 17 } \)
Now, use the the following equation to find c of the standard equation
\(\qquad \sf \dashrightarrow \: r = \sqrt{g {}^{2} + {f}^{2} - c} \)
\(\qquad \sf \dashrightarrow \: 2 \sqrt{17} = \sqrt{ {0}^{2} + {4}^{2} - c}\)
squaring both sides :
\(\qquad \sf \dashrightarrow \: 68 = {0}^{2} + {4}^{2} - c\)
\(\qquad \sf \dashrightarrow \: 68 = 8 - c\)
\(\qquad \sf \dashrightarrow \: - c = 68 - 8\)
\(\qquad \sf \dashrightarrow \: c = - 60\)
Therefore, we got the standard equation of circle as ~
\(\qquad \sf \dashrightarrow \: {x}^{2} + {y}^{2} + 2(0)x + 2( - 4)y + ( - 60) = 0\)
\(\qquad \sf \dashrightarrow \: {x}^{2} + {y}^{2} - 8y - 60 = 0\)
I Hope it helps ~
Greg swims 100 yards in 52 seconds. Kelly plans to
swim 150 yards at the same rate. How many
seconds will it take her to complete her swim?
PLEASE HELP ME
Answer:86 seconds
Step-by-step explanation: First, 100 yards would be 52 seconds, but she wants 150 half of 52 is 26. 52+26=86
3 units
5 units
9 units
5 points
Find the distance between the points (-9, -1) and (-2,-6).
Answer:
Distance between points = 8.6
Step-by-step explanation:
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(−2−−9)2+(−6−−1)2(-2--9)2+(-6--1)2
= √72+(−5)272+(-5)2
= √49+2549+25
= √7474 = 8.6023
Distance between points (-9, -1) and (-2, -6) is 8.6023
What is the answer to the question??
Answer:you need to show the diagram in order for me to
Step-by-step explanation:
Abe digs a hole at a steady rate of (meaning negative) 1.2 feet every hour.
Consider ground level to be 0.
What value represents the elevation of the hole relative to ground level after digging for 2.5 hours?
Enter your answer in the box.
When constructing a perpendicular bisector of a segment, why should you make arcs with the same radius from each endpoint? Select the true statement.
a. this makes the arcs perpendicular to each other
b. this makes the arcs equidistant from each other
c. this makes the intersections of the arcs equidistant from the endpoints
d. this makes the arcs parallel to the segment
When constructing a perpendicular bisector of a segment, you should make arcs with the same radius from each endpoint as D. this makes the arcs parallel to the segment
What is a perpendicular bisector?A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector. In other words, a perpendicular bisector divides a line segment into two equal parts by intersecting it at a 90-degree angle.
A line segment known as a perpendicular bisector divides a straight line segment into two congruent or equal segments. At the exact midpoint of the line segment, they divide it. The arcs with the same radius from each endpoint is important as this makes the arcs parallel.
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Ages of Dogs The ages of 20 dogs in a pet shelter are shown. Construct a frequency distribution using 7 classes.
7
9
6
8
7
6
8
6
9
5
7
7
Send data to Excel
6
89
8
8
6 4 8
9
6 3
Class limits Class boundaries Frequency
3
2.5-3.5
4
3.5-4.5
4.5-5.5
5.5-6.5
6.5-7.5
7.5-8.5
8.5-9.5
Total
5
The frequency table is added below
How to determine the frequency distributionFrom the question, we have the following parameters that can be used in our computation:
7 9 6 8 7 6 8 6 9 5 7 7
6 8 9 8 8 6 4 8
When represented on a frequency table, we have
Class limits Class boundaries Frequency
2.5 - 3.5 3.0 - 4.0 0
3.5 - 4.5 4.0 - 5.0 1
4.5 - 5.5 5.0 - 6.0 1
5.5 - 6.5 6.0 - 7.0 5
6.5 - 7.5 7.0 - 8.0 4
7.5 - 8.5 8.0 - 9.0 6
8.5 - 9.5 9.0 - 10.0 3
Total 20
The class boundary is calculated as
class boundary = Class limits ± 0.5
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What is the length of DE ?
Answer:
option D. DE = 11
Step-by-step explanation:
The line DF is equivalent in length to the blue line,
(x + 7) + 7 = 4x + 2
Solve:
x + 14 = 4x + 2
subtract 14 from both sided to get x alone,
x + 14 - 14 = 4x + 2 - 14
x = 4x - 12
subtract 4x from both sided,
x - 4x = 4x - 4x - 12
-3x = -12
divided both sides by -3,
-3x / 3 = -12 / -3
x = 4
Plug in x into DE equation:
x + 7: (4) + 7 = 11
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Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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One sample has a mean of M=7.2 and a second sample has a mean of M=12.8. The two sample are combined into a single set of scores. a. What is the mean for the combined set if both the samples have n=5? b. What is the mean for the combined set if the first sample has n=5 and the second sample had n=35?
Answer:
a. M = 50
b. M = 242
Step-by-step explanation:
mean = \(\frac{sum of scores}{number of samples}\)
⇒ sum of scores = mean x number of samples
Let the mean be represented by M, and the number of samples be represented by n,
sum of scores = M x n
a. When n = 5 for both samples,
The first sample's sum of scores = M x n
= 7.2 x 5
= 36
The second sample's sum of scores = M x n
= 12.8 x 5
= 64
The mean for the sum of scores of the combined set = \(\frac{36 + 64}{2}\)
= 50
When both samples have n = 5, the mean of the combined set is 50.
b. When the first sample has n = 5, the sum of scores = 36.
If n = 35 for the second sample, the sum of scores = M x n
= 12.8 x 35
= 448
The mean for the sum of scores of the combined set = \(\frac{36 + 448}{2}\)
= 242
Expand and simplify x(3x + 5)-5(2x - 1)
PLEASE HELP ME AND ANSWER THIS QUESTION !! I need this for my assessment revision
The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5
How to expand and simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
x(3x + 5)-5(2x - 1)
Open the brackets
So, we have
3x² + 5x - 10x + 5
Evaluate the like terms
So, we have
3x² - 5x + 5
Hence, the simplified expression is 3x² - 5x + 5
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Find two square numbers that total 45
An outdoor club conducted a survey of its members. The members were asked to state their preference between skiing and snowboarding. Each member had to pick one. Of the 60 males, 45 stated they preferred to snowboard. Twenty-two of the 60 females preferred to ski. What is the relative frequency that a male prefers to ski?
Answer:
Answer:
0.25
Step-by-step explanation:
Data provided in the question
Number of males = 60
Number of stated preferred to snowboard = 45
Number of females preferred to ski = 22
Based on the above information, the relative frequency male preferred to ski is
Before computing this first we have to calculate the number of ski picked which is
= Number of males - Number of stated preferred to snowboard
= 60 - 45
= 15
Now the relative frequency is
\(= \frac{Number\ of\ ski}{Number\ of\ males}\)
\(= \frac{15}{60}\)
= 0.25
What is (8 + (−2) − 4) and (3 − 5)
Step-by-step explanation:
(8+(-2)-4)
=8-2-4
=2
(3-5)
=-2
Maria Invests $600 in a bank account that earns simple interest. She earns $30 at the end of 12 months . Janae invest $350 at the same rate of interest for 12 months
Answer:
Interest = $1.75
Step-by-step explanation:
Maria invest $600, and receives interest of $30 per year
We know that PRT/100= INTEREST
R=( 100*INTEREST)/(PT)
R = (100*30)/(600*1)
R= 3000/600
R= 5%
Jane invest $350 at Sam rate with Maria , that is 5% , for a year, her interest
Interest= 350*5*1/100
Interest = $1.75
Please help with this math question!
Answer:
5. Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer