The percentage of vertebrates that are reptiles is approximately 13.8%
What is PercentagePercentage is a way of expressing a number as a fraction of 100. It is commonly used to express rates, ratios, and proportions. A percentage is represented by the symbol "%" and is calculated by multiplying a number by 100 and dividing the result by the total number of items being considered.
In this problem, we need to determine the percentage of vertebrate that are reptiles.
This can be represented mathematically as;
Percentage of reptiles = [number of reptiles / total number of vertebrates] * 100
Percentage = [8240 / 59811] * 100
Percentage = 13.8%
The percentage of reptiles is 13.8%
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Surface area=
Help me please thanks so much :))
Answer:
324[tex]\pi[/tex] units³
Step-by-step explanation:
Surface Area of Sphere = 4[tex]\pi[/tex]r²; where 'r' is the radius of the sphere.
4[tex]\pi[/tex]r² =
4[tex]\pi[/tex]9² =
4[tex]\pi[/tex]81 =
324[tex]\pi[/tex] units³
Answer:
324[tex]\pi[/tex] unit^2
Step-by-step explanation:
The formula for finding the surface area of a sphere is: [tex]A = 4\pi r^2[/tex]
--> A = Surface area of the sphere
--> r = Radius of the sphere
The image shows that the radius of the sphere is 9.
All we need to do is to replace r with 9.
--> A = 4[tex]\pi[/tex]9^2
--> A = 4[tex]\pi[/tex]81
--> A = 324[tex]\pi[/tex]
So that is your final answer! 324[tex]\pi[/tex] unit^2
--> It is unit^2 since it is an area, not a volume.
+ I'm leaving this as [tex]\pi[/tex], since the question is asking for the exact value, not the ones that are rounded up.
Given the right triangle below, for the Pythagorean theorem, in which a 2 + b 2 = c 2, which side would represent the side "c." Hint: look at this triangle and the names of the angles.
Answer:
line segment AC (hypotenuse)
Step-by-step explanation:
The Pythagorean Theorem states that the sum of squares of the base/height of the triangle will equal the hypotenuse squared which is what c is equal to. So the c would represent the hypotenuse which is the side from the points A to C in the diagram.
The horizontal viewing angle is the angle subtended by a straight line from
each side of the screen to the seating position.
THX
THX Ltd., is a company founded in 1983 by George Lucas that develops
audio/visual reproduction standards for movie theaters. According to THX,
the viewing angle in a theater should be no less than 26 degrees and the best
viewing angle seems to be around 45-50 degrees and towards the center.
Suppose seat G11 has a horizontal viewing angle of 45°. This would be considered the best seat in the theater.
3. What is the measure of the arc the screen subtends?
The measure of the arc is given as π/2. See the explanation below.
What is an arc?An "arc" is a curve that connects two points in mathematics.
It can also be depicted as a section of a circle. It is essentially a portion of a circle's circumference. An arc is a kind of curve.
What is the calculation for the above solution?Note that the viewing angle is 45°.
Thus, the center angle is:
45 X 2 = 90°
Measure of the arc therefore is:
= (π/180°) x 90
= π/2
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Which expression is equivalent to (m-4/m+4)/(m+2)?
A) m-4/(m+4)(m+2)
B) (m+4)(m+2)/m-4
C) (m-4)(m+2)/m+4
D) m+4/(m-4)(m+2)
Hello,
[tex] \frac{ \frac{m - 4}{m + 4} }{m + 2} = \frac{ \frac{m - 4}{m + 4} }{ \frac{m + 2}{1} } = \frac{m - 4}{m + 4} \times \frac{1}{m + 2} = \frac{m - 4}{(m + 4)(m + 2)} [/tex]
Solve for X in the diagram below
Step-by-step explanation:
the sum of all angles around a single point on one side of a line must be 180°.
because that line can be seen as the extension of the diameter of a circle, and the point would be the center of that circle. so, one side of the line represents a half-circle, which stands for 180°.
so we have
180 = 40 + 40 + (2x + 30) = 80 + 2x + 30 = 110 + 2x
70 = 2x
x = 35
3) A normal distribution has a mean of 75 and a standard deviation of 15. Determine the z-score for the data value of 85.
Step-by-step explanation:
z = (specific score - mean) / standard deviation
in our case
z = (85 - 75)/15 = 10/15 = 2/3 = 0.666666... ≈ 0.67
as z-tables usually round the z-score to hundredths.
The z-score for the data value of 85 is 0.67.
How to Calculate Z-Score?A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score. A value that is one standard deviation from the mean would have a Z-score of 1.0. Z-scores can be either positive or negative, with a positive number signifying a score above the mean and a negative value signifying a score below the mean.
To find the z-score, you simply need to apply the following formula:
z = (x - μ) / σ
μ=75
σ=15
x=85
z =85-75/15
z=10/15
=2/3
=0,66666....=0.67
Therefore, the z-score for the data value of 85 is 0.67.
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How many of the list 729 positive integers are perfect squares, cubes ,or both?
Answer:
there will be 17 integers!
List :
1
4
9
16
25
36
49
64
81
100
121
144
169
196
225
256
289
They're all squares, like for example, 1^2, 2^2, 3^2, etc
Answer:
cheapt
Step-by-step explanation:
Fill in the blank.
_______ are sample values that lie very far away from the majority of the other sample values.
Outliers are sample values that lie very far away from the majority of the other sample values.
We know that, an outlier is an observation that lies an abnormal distance from other values in a random sample from a population.
It differs significantly from other observations in a sample values.
Outlier is a value that is distant from the majority of the values in a data set.
For a scatter plot, an outlier is the point or points that are farthest from the regression line.
For example in the record of marks 25, 29, 7, 32, 85, 33, 27, 28 both 7 and 85 are outliers.
Therefore, outliers are sample values that lie very far away from the majority of the other sample values.
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If a polynomial f(x) is divided by (x+a) and leaves the reminder is a and b are constants then
f(-a) is the remainder when f(x) is divided by (x+a). This can be obtained by remainder theorem for polynomials.
What is the required remainder?Given that f(x) is divided by (x+a) and leaves a reminder
Using the remainder theorem for polynomials we get,
f(x) = (x+a)·g(x) + r, where g(x) is the quotient and r is the remainder.
Put x = -a, then
f(-a) = (-a+a)·g(-a) + r
f(-a) = (0)·g(x) + r
f(-a) = r
f(-a) is the remainder.
Hence f(-a) is the remainder when f(x) is divided by (x+a).
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What is the area of parallelogram ABCD?
A. 12 units²
B. 30 units²
C. 24 units²
D. 55 units²
Answer:
C, 24 units^2
Step-by-step explanation:
The formula for area of a parallelogram is base times height.
The height of the parallelogram is 4 units
The base of the parallelogram is 6 units
4 times 6 is 24
Hope this helps:)
Answer:
C. 24 units²
Step-by-step explanation:
To calculate the area of a parallelogram we use the following formula:
A = B*h (B: base, h: height)
The base of the parallelogram is 6 units and the height is 4 units
4*6 = 24 units but, the area is presented in square units so the answer is 24 units²
Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the following curve on the given interval y=2cos 3x on -- An integral that gives the arc length is a d x (Type exact answers.) Enter your answer in each of the answer boxes.
The arc length of [tex]y=2\cos(3x)[/tex] on the interval [tex][a,b][/tex] is
[tex]\displaystyle \int_a^b \sqrt{1 + (y')^2} \, dx = \int_a^b \sqrt{1 + (-6\sin(3x))^2} \,dx = \boxed{\int_a^b \sqrt{1+36\sin^2(3x)} \, dx}[/tex]
Find the distance between the pair of points: (-3,-6) and (1,2).
d² = (y2 - y1)² + (x2 - x1)²
..............
22 A circle passes through the points
P(3, 0) and Q(0, 5). Its centre lies on
the line y = x + 2.
(i) Find the equation of the perpendicular bisector of PQ.
(ii) Hence show that the coordinates of the centre of the circle are (-1, 1).
(iii) Find the equation of the circle.
A second circle with equation
2x² + y² + ax + by - 14 = 0 has the
same centre as the first circle.
(iv) Write down the value of a and of b.
(v) Show that the second circle lies
inside the first circle.
The equation of the first circle is (x + 1)^2 + (y - 1)^2 = r^2 and the equation of the second circle is (x + 1)² + (y - 1)² = 16
The equation of the perpendicular bisectorThe points are given as:
P(3, 0) and Q(0, 5)
The midpoint of PQ is
Midpoint = 0.5(3 + 0, 0 + 5)
Midpoint = (1.5, 2.5)
Calculate the slope of PQ
m = (y2 - y1)/(x2 - x1)
m = (5 - 0)/(0 - 3)
m = -5/3
A line perpendicular to PQ would have a slope (n) of
n = -1/m
This gives
n = -1/(-5/3)
n = 0.6
The equation is then calculated as:
y = n(x - x1) + y1
Where
(x1, y1) = (1.5, 2.5)
So, we have:
y = 0.6(x - 1.5) + 2.5
y = 0.6x - 0.9 + 2.5
Evaluate the sum
y = 0.6x + 1.6
Hence, the equation of the perpendicular bisector of PQ is y = 0.6x + 1.6
The center of the circleWe have:
y = x + 2
Substitute y = x + 2 in y = 0.6x + 1.6
x + 2 = 0.6x + 1.6
Evaluate the like terms
0.4x = -0.4
Divide
x = -1
Substitute x = -1 in y = x + 2
y = -1 + 2
y = 1
Hence, the center of the circle is (-1, 1)
The circle equationWe have:
Center, (a, b) = (-1, 1)
Point, (x, y) = (0, 5) and (3, 0)
A circle equation is represented as:
(x - a)^2 + (y - b)^2 = r^2
Where r represents the radius.
Substitute (a, b) = (-1, 1) in (x - a)^2 + (y - b)^2 = r^2
(x + 1)^2 + (y - 1)^2 = r^2
Substitute (x, y) = (0, 5) in (x + 1)^2 + (y - 1)^2 = r^2
(0 + 1)^2 + (5 - 1)^2 = r^2
This gives
r^2 = 17
Substitute r^2 = 17 in (x + 1)^2 + (y - 1)^2 = r^2
(x + 1)^2 + (y - 1)^2 = r^2
Hence, the circle equation is (x + 1)^2 + (y - 1)^2 = r^2
The value of a and bThe equation of the second circle is
2x² + y² + ax + by - 14 = 0
Rewrite as:
2x² + ax + y² + by = 14
For x and y, we use the following assumptions
2x² + ax = 0 and y² + by = 0
Divide through by 2
x² + 0.5ax = 0 and y² + by = 0
Take the coefficients of x and y
k = 0.5a k = b
Divide by 2
k/2 = 0.25a k/2 = 0.5b
Square both sides
(k/2)² = 0.0625a² (k/2)² = 0.25b²
Add the above to both sides of the equations
x² + 0.5ax +0.0625a² = 0.0625a² and y² + by + 0.25b² = 0.25b²
Express as perfect squares
(x + 0.25a)² = 0.0625a² and (y + 0.5b)² = 0.25b²
Add both equations
(x + 0.25a)² + (y + 0.5b)² = 0.0625a² + 0.25b²
So, we have:
2x² + ax + y² + by = 14 becomes
(x + 0.25a)² + (y + 0.5b)² = 0.0625a² + 0.25b²+ 14
Comparing the above equation and (x + 1)^2 + (y - 1)^2 = r^2, we have:
0.25a = 1 and 0.5b = -1
Solve for a
a = 4 and b = -2
This means that the value of a is 4 and b is -2
Show that the second circle is in the firstWe have:
a = 4 and b = -2
Substitute these values in (x + 0.25a)² + (y + 0.5b)² = 0.0625a² + 0.25b²+ 14
This gives
(x + 0.25*4)² + (y - 0.5*2)² = 0.0625*4² + 0.25*(-2)²+ 14
(x + 1)² + (y - 1)² = 16
The equation of the first circle is
(x + 1)² + (y - 1)² = 17
The radii of the first and the second circles are
R = √17
r = √16
√17 is greater than √16
Since they have the same center, and the radius of the first circle exceeds the radius of the second circle, then the second circle lies inside the first circle.
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How many miles is it across the united states from the east coast to the west coast.
The thousand of miles across the United states from the east coast to the west coast.
In order to find the number of miles across the United states from the east coast to the west coast.
Hence, the thousand of miles across the United states from the east coast to the west coast.
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Find the value of x.
10
Q
12
x = [?]
Answer:
10
Step-by-step explanation:
It's just symmetry. You see that the geometrical construction above has been rotated, so its properties will remain the same.
What is the surface area of the right cone below?
A. 63π units²
B. 54π units ²
C. 99π units²
D. 126π units²
Answer:
B. 54π units ²
Step-by-step explanation:
solution:
given,
Radius (r) = 3
(l) = 15
we know that,
T.S.A. of cone = πr( r + l )
= π × 3(3 + 15)
= π × 3 × 18
= π × 54
= 54π units ²
There are 6 fifth grade classrooms that share 7 packs of paper. How much paper should each classroom get?
Answer:1.166 reams of paper.
Step-by-step explanation:
Just use simple division and divide 7/6.
Each classroom will get [tex]\dfrac{7}{6}[/tex] paper when there are 6 fifth grade classrooms that share 7 packs of paper.
A fraction is defined as a part of a whole. The upper part of the fraction is called the numerator, and the lower part is called the denominator.
Given that:
Number of fifth grade classrooms = 6
Number of packs of paper = 7
The number of paper each classroom get in fractions can be obtained by dividing the number of packs of paper by the number of fifth grade classrooms.
Each classroom get = [tex]\dfrac{Number \ of \ packs \ of \ paper}{ \ Number \ of \ fifth \ grade \ classrooms}[/tex]
Each classroom get = [tex]\dfrac{7}{6}[/tex]
Each classroom will get [tex]\dfrac{7}{6}[/tex] paper.
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A pattern has 77 yellow triangles to every 33 green triangles. What is the ratios of green triangles to yellow triangles?
11. What is the y-intercept of a line that passes through the point (5,17)
and has a slope of 4?
1. 17
2. 11
3. -3
4. 46
5. 2
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
y - intercept = -3[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
Equation of straight line in point - slope form :
[tex]\qquad❖ \: \sf \:y - y1 = m(x - x1)[/tex]
( m = slope = 4, point (5 , 17) )
[tex] \qquad◈ \: \: \sf \: y - 17 = 4(x - 5)[/tex]
[tex] \qquad◈ \: \: \sf \: y - 17= 4x - 20[/tex]
[tex] \qquad◈ \: \: \sf \: y = 4x - 20 + 17[/tex]
[tex] \qquad◈ \: \: \sf \: y = 4x - 3[/tex]
Now, it's the form of line in slope - intercept form, ( slope = coefficient of x = 4 and y - intercept = -3 )
[tex] \qquad \large \sf {Conclusion} : [/tex]
[tex] \qquad◈ \: \: \sf \: y \: \: int = - 3[/tex]
Parabola a can be represented using the equation (x 3)2 = y, while line b can be represented using the equation y = mx 9. isabel claims one solution to the system of two equations must always be the vertex of parabola a. which best describes the reasonableness of her claim?
Isabel is incorrect because the point of intersection between line B and parabola A that can be determined is the y-intercept of the equations, not the vertex. This can be obtained using finding y intercept of both parabolas and vertex of parabola A.
Is her claim correct?Parabola A, (x + 3)² = y = x² + 6x + 9
Parabola B, y = mx + 9
For parabola A, when x = 0, y = (0+3)²x=0, y = 9
y coordinate of parabola A is (0,9)
⇒The vertex coordinate,
(-b/2a , -(b²-4ac)/4a) = (-3,0)
For parabola B, when x = 0, y = 0 + 9x=0, y = 9
y coordinate of parabola B is (0,9)
Isabel claims one solution to the system of two equations must always be the vertex of parabola A which is wrong.
Hence Isabel is incorrect because the point of intersection between line B and parabola A that can be determined is the y-intercept of the equations, not the vertex.
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Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: Parabola A can be represented using the equation (x + 3)2 = y, while line B can be represented using the equation y = mx + 9. Isabel claims one solution to the system of two equations must always be the vertex of parabola A. Which best describes the reasonableness of her claim?
I need help on this please!
Answer:
Step-by-step explanation:
Part A:
CIRCLE A : Circumference is (pi)(diameter) so if they give you the circumference (21.98), divide it by 7 which gives you 3.14.
CIRCLE B: 18.84/6 = 3.14
Part B:
CIRCLE A: Area is (pi)(radius^2) so if they give you the area (38.465), divide it by radius^2 (7/2 = 3.5^2 = 12.25) = 3.14
CIRCLE B: 28.26/(3^2) = 3.14
Part C:
The value of pi stays the same for circle A and B.
Hope this helps :)
Please help quickly I need the answer now please you’ll be brainleist
Answer:
B
Step-by-step explanation:
See the attached image.
What is the slope of the line containing (-3, 1) and (1, -2)?
[tex]\textbf{Heya !}[/tex]
use the slope-formula:-
[tex]\sf{\cfrac{y2-y1}{x2-x1}}[/tex]
put-in the values
[tex]\sf{\cfrac{-2-1}{1-(-3)}}[/tex]
[tex]\sf{\cfrac{-3}{1+3}}[/tex]
[tex]\sf{\cfrac{-3}{4}[/tex]
[tex]\sf{-\cfrac{3}{4}}[/tex]
`hope it's helpful to u ~
( will give brainlyest)
A firework is launched from the ground at a speed of 160 feet per second. It’s height after t seconds is given by the polynomial -16t+160t. What is the height of the firework after 4 seconds?
Answer: 384 feet
Step-by-step explanation:
We will simplify and solve -16t² + 160t when t is equal to 4.
-16t² + 160t
-16(4)² + 160(4)
384 feet
Answer:
Step-by-step explanation:
**Note: The polynomial in question is -16t² + 160t, as clarified in the discussion under the question.**
Since there is a polynomial to find the height given a certain time, the height is a function of time.
This function would be h(t) = -16t² + 160t, so plugging in 4 for t would give the height.
[tex]h(4) = -16(4)^2+160(4)[/tex]
[tex]-16(16)+160(4)[/tex] [Squaring 4]
[tex]-256 + 640[/tex] [Multiplying]
[tex]384[/tex] [Combining both terms]
Hence, the height of the firework after 4 seconds is 384 feet.
15 POINTS!!!! PLS HELP LOOK AT PIC
Answer:
A
Step-by-step explanation:
The solutions of a quadratic function will always be the x intercepts. Thus, if there are two solutions, there are two x intercepts.
What is the mass percent of cashews in a 10. 0g mixed nut sample if the cashews are 0. 87g?
Answer:
0.87%
Step-by-step explanation:
→ Divide 0.87 by 10
0.87 ÷ 100 = 0.0087
→ Multiply answer by 100
0.0087 × 100 = 0.87
You are in a hot air balloon looking down at two ponds. Pond A which is in front of your balloon, is at an angle of depression that is your birth month (October), in degrees. (October = 10 degrees). Pond B, which is behind the balloon, is at angle of depression that is your Birth Day in degrees. (October 8 = 8 degrees). The balloon is 875 m in the air.
a. Draw and label a diagram
b. Find the distance from the hot air balloon to both Pond A and B
c. FInd the distance between the two ponds.
a. See attachment for the labelled diagram
b. Using the sine ratio, distance from the hot air to pond A is 5,038.9 m, while distance from the hot air to pond B is 6,287.1 m.
c. Distance between the two ponds is 1,263.5 m.
What is the Sine and Tangent Ratios?Sine ratio, is: sin ∅ = opposite side/hypotenuse length
Tangent ratio is: tan ∅ = opposite side/adjacent length.
a. The diagram with the appropriate labels is shown in the image attached below.
b. Use the sine ratio to find the distance from the hot air to pond A (CA) and to pond B (CB):
CA = hypotenuse
∅ = 10°
Opposite = 875 m
sin 10 = 875/CA
CA = 875/sin 10
CA ≈ 5,038.9 m (distance from the hot air to pond A)
CB = hypotenuse
∅ = 8°
Opposite = 875 m
sin 8 = 875/CB
CB = 875/sin 8
CB ≈ 6,287.1 m (distance from the hot air to pond B)
c. Distance between the two ponds, BA = BD + DA.
Apply the tangent ratio to find BD and DA
tan 8 = 875/BD
BD = 875/tan 8
BD = 6,225.9 m
tan 10 = 875/DA
DA = 875/tan 10
DA = 4,962.4 m
Distance between the two ponds = 6,225.9 - 4,962.4 = 1,263.5 m.
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Calculate the total amount in an investment account if $2800 was invested at a simple interest rate of
5.5% for 18 months.
a. $3034.15
b. $3031.00
Trinh invected $2400.st.0866
c. $7340.11
d.
$5544.00
The total amount in the investment account is $3031.00
How to determine the total amount?The given parameters are
Principal, P = $2800
Rate, r = 5.5%
Time = 18 months i.e. 1.5 years
The amount is then calculated as:
A = P + PRT
This gives
A = 2800 + 2800 * 5.5% * 1.5
Evaluate
A = 3031
Hence, the total amount in the investment account is $3031.00
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PLEASE HELP BRAINLIST ANSWER PLEASE
Answer:
y = -3x + 4
Step-by-step explanation:
y = mx + c
y = gradient(x intercept) + y intercept
y = -3x + 4
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.
Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.
Answer:
Each Person:
-In tips: $2
-Food Bill: $7.50
Step-by-step explanation:
Let's find the tip amount for each person. $16 for the whole group. Each person will give in $2 for the tips, for a total of $16 in tips.
Now that tips are done, we must subtract the amount of tips from the food bill, to see how much each person pays. $76 - $16 = $60.
Divide 60 by 8 to get.. 60/8= 7.5.
With 7.5 as an answer, we can conclude that each person paid $7.50 for the food bill.
I see you need to select solutions, may I see them to help you out? The description is pretty vague..