A forest covers 77,000 acres. A survey finds that 0.6% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answers
Answer:
462 acres of old-growth trees are in the forest.
Step-by-step explanation:
fine 0.6% or 77,000
0.6% / 100 = 0.006
0.006 x 77,000 = 462
Related Questions
The surface area of this cylinder is 20,761.68 square yards. What is the height?
Use ≈ 3.14 and round your answer to the nearest hundredth.
29 yd
h=
Submit
h
yards
Answers
The height of the cylinder whose surface area is given would be = 85 yards.
How to calculate the height of a cylinder?The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.
To calculate the height of a cylinder, the formula that should be used is given as follows:
Surface area of cylinder = 2πrh + 2πr²
radius = 29 yards
surface area = 20,761.68 square yards
height = ?
That is ;
20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29
20,761.68 =182.12h + 5281.48
182.12h = 20,761.68-5281.48
182.12h = 15480.2
h = 15480.2/182.12
= 85 yards
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Cierto individuo, al fallecer, repartió sus ahorros del siguiente modo; la mitad a
su esposa; el tercio a su único hijo; la décima parte a un sobrino, y dos millones
de nuevos soles a una beneficencia ¿cuánto poseía?
Answers
Answer:
El individuo poseía treinta millones.
Step-by-step explanation:
Podemos expresar la repartición del individuo como sigue:
\( x = \frac{x}{2} + \frac{x}{3} + \frac{x}{10} + 2000000 \)
Dado que la suma de la repartición de la mitad que le da a su esposa (x/2), del tercio que le da a su único hijo (x/3), de la décima parte que le da a un sobrino (x/10) y de los dos millones que le da a una beneficiencia debe ser igual al monto incial que tenía (x).
Resolviendo la ecuación de arriba para "x" tenemos:
\( x - \frac{x}{2} - \frac{x}{3} - \frac{x}{10} = 2000000 \)
\( x = 30000000 \)
Por lo tanto, el individuo poseía treinta millones.
Espero que te sea de utilidad!
Which sequence of transformations proves that shape I is similar to shape II?
Answers
The sequence of transformations that proves that the shapes are similar is given as follows:
B. a reflection across the x-axis, and then a dilation by a scale factor of 1.5
How to obtain the transformations?First, we have that the orientation of the figure, hence it was reflected.
The figure was reflected from the second quadrant to the third quadrant, hence the figure was reflected over the x-axis.
The base segment changes from a length of 2 units to a 3 units, hence the scale factor of the dilation is given as follows:
3/2 = 1.5.
Hence option B is the correct option for this problem.
Missing InformationThe missing parts of the problem are given by the image presented at the end of the answer.
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Gretchen and Mika are involved in a relay race. Both runners are at the same point on the course when Gretchen realizes that she dropped her baton and has to turn around to retrieve it. Gretchen runs backwards at a speed of −4 m/s, relative to the direction of the race. Mika continues running at a speed of 3 m/s. If Gretchen dropped her baton −48 meters from her current location, relative to the direction of the race, how far ahead will Mika be when Gretchen picks her baton up?
Answers
Answer: 84 meters
Step-by-step explanation:
They are in the same point, let's call the point x.
They were originally at point x.
Baton was at -48 meters
If Gretchen ran back at -4 m/s
It took her -48/-4 or 12 seconds
During that 12 seconds, Mika ran forward 3 meters per second, or 3*12 = 36 meters total.
Gretchen is 48 meters behind point x, while Mika is 36 meters ahead.
You add the two amounts up to get: 36 + 48 = 84.
This means that Mika will be 84 meters ahead of Gretchen.
Let me know if you have any questions, hope this helped!
A pizza chain plans to locate a new pizza franchise on the CCSU campus if the results of a survey show that more than 10% of CCSU students would eat there at least once a week. Suppose the company is about to carry out a hypothesis test. 7.
a. State the hypotheses.
b. Clearly state, in terms of this particular problem, what a Type I error would mean.
c. Describe possible consequences of a Type I error in this situation.
d. Clearly state, in terms of this particular problem, what a Type II error would mean.
e. Describe possible consequences of a Type II error in this situation.
Answers
Answer:
a) Null and alternative hypothesis:
\(H_0: \pi=0.1\\\\H_a:\pi>0.1\)
b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.
c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.
d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%
e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.
Step-by-step explanation:
a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.
Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.
On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.
This can be written as:
\(H_0: \pi=0.1\\\\H_a:\pi>0.1\)
If 2n + m = 10 and 3n - m = -5, then what is m?
Answers
5. Determine the value of t4 in an arithmetic sequence given that t₁ = 11 and S9 = 243.
Answers
The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).
We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.
From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:
243 = (9/2)(2(11) + (9-1)d)
243 = 9(22 + 8d)
243 = 198 + 72d
45 = 72d
d = 45/72 = 5/8
Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:
tₙ = a + (n-1)d
t₄ = 11 + (4-1)(5/8)
t₄ = 11 + 3(5/8)
t₄ = 11 + 15/8
t₄ = 88/8 + 15/8
t₄ = 103/8
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NEED HELP ASAP a bag contains four green marbles,six white marbles, and ten red marbles. One marble is picked at random from the bag. What is the probability of picking a white marble?
Answers
Answer:
3/10
Step-by-step explanation:
add all the marbles together4+6+10
=20
probability of picking a white marble is6/20
=3/10
In the diagram, the measures of 23 and 27 are 45°. The measure of 25 is
135°. Are lines cand dparallel?
F
5
8
OA. Yes, because 23 and 27 are congruent.
OB. No, because 27 and 25 are not congruent.
C. Yes, because 25 and 27 are supplementary.
D. No, because 23 and 25 are not supplementary.
Answers
The correct answer is D. No because 23 and 25 are not supplementary.
In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.
If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.
The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.
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From the graph of y = f(x), how do we obtain the graph of y = f(x+1) +3?
Select one:
a. None of the other choices is correct
b. Shift to the right by 1, and then shift up by 3
c. Shift to the left by 3, and then shift up by 1
d. Shift to the left by 1, and then shift up by 3
e. Shift to the right by 3, and then shift up by 1
Answers
It is a translation of 3 units up and one unit to the left, then the correct option is D.
How do we obtain the graph of y = f(x+1) +3?For any function y = f(x), we can define:
A vertical translation of N units as:
g(x) =f(x) + N
if N > 0, the translation is up
if N < 0, the translation is down.
A horizontal translation of N units as:
g(x) =f(x + N)
if N > 0, the translation is left
if N < 0, the translation is to the right.
Here we have:
g(x) = f(x + 1) + 3
So we have a translation of 1 unit to the left and 3 units up.
The correct option is d.
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I need help finding the domain and range of this graph!
Answers
Answer:
range is 0 to 4 and domain is 0 to 10
Step-by-step explanation:
start with lowest y value and go up to the maximum value of y on any point then for domain do the same thing except left to right
please help if u can!!
The entry fee to a fun park is $20. Jackson spent a total of 35 at the park. If z represents the number of rides jackson went on, which equation represents the situation and what is the value of z that makes the equation true?
A= 2.50=35
x=14
B= 2.50z=20
x=8
C= 20z+2.50=35
c=2
D= 20+2.50z=35
x=6
Answers
Answer: The answer is d.
Step-by-step explanation:
If the entry amount is $20 then you want to subtract $20 from $35 and that leaves you with $15 now if you divide $15 in $2.50's you get 6
PLS HELP SHOW ME HOW TO DO THIS
A polynomial function h(x) has a zero of x = 2 – 5i with a multiplicity of one. Certain values of h(x) are given in the following table.
x h(x)
–5 0
–2 3
–1 –1
1 2
4 0
7 6
10 5
If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
A. 2
B. 3
C. 4
D. 5
Answers
Using function concepts, it is found that the degree of the function is: 4, option C.
----------------------------------------
The x-intercepts of a function are the values of the function for which the output is zero.The degree of a function is the sum of the multiplicities of the x-intercepts of the function.If a function has a complex root, it means that the conjugate is also a root.----------------------------------------
When \(x = -5, h(x) = 0\), thus, x = -5 is one x-intercept.When \(x = 4, h(x) = 0\), thus, x = 4 is one x-intercept.There is also a x-intercept(zero) at \(x = 2 - 5i\). There will also be a x-intercept at the conjugate, which is \(x = 2 + 5i\).Thus, there are 4 x-intercepts, all with multiplicity 1, which means that the degree of h(x) is 4, option C.A similar problem is given at https://brainly.com/question/10539060
Write an equation for the line graphed below.
Answers
Answer:
y=-4/3x
Step-by-step explanation:
There is no b because it starts at the origin.
Answer:
-4/3x is the correct answer as provided by IceJadeKitsune
I am merely providing an explanation in case you are curious
Step-by-step explanation:
The equation for a line in slope-intercept form is
y = mx + b
where m is the slope and b the y-intercept
The slope of a line, m can be determined by what is called the rise/run ratio
The process is as follows
Take any two convenient points on the line and note their coordinatesLet's label the points as (x1, y1) and (x2, y2)The rise is the difference in the y values = y2 - y1 (The run is the difference in the x values = x2 - x1Divide this rise over run and you get the slope, mTo get b, find where the line crossed the y-axis and the value of b will be the value of y at that point.The value of x will be 0 at the y-intercept
From the graph choose points origin (0, 0) which is one point where the line crosses the y axis
From the graph we see that another distinct point where the line passes is at x = -3, y = 4 or the point(-3, 4)
Having got these two points we calculate
rise = 4 - 0 = 4
run = -3 - 0 = -3
Slope m = -4/3
Slope is negative because as y increases, x decreases
So the equation is y = -4/3x + b
Looking at the graph, we see that b = 0 since the graph passes through the origin as correctly stated by IceJadeKitsune
Therefore the equation of the line is \(\boxed{\bold{y = -\dfrac{4}{3}x}}\)
Please someone help me!!
Answers
1. Length of side DE = 9
Length of side DF = 15
2. Length of side DE = 5.625
Length of side EF = 4.96
3. Length of side DF = 10
Length of side EF = 6.61
Given,
Two triangles
Triangle ABC and Triangle DEF ; These are similar triangles
That is,
AB = DE, BC = EF, AC = DF
Here,
AB = 3
BC = 4
1. EF = 12
AB/BC = DE/EF
3/4 = x/12
x = (12 x 3) / 4
x = 3 x 3 = 9
Length of side DE = 9
DF = \(\sqrt{9^{2} +12^{2} }\) = \(\sqrt{81 + 144}\) = √225 = 15
Now,
2. DF = 7.5
AB/BC = DE/DF
3/4 = x/7.5
x = (7.5 x 3) / 4
x = 5.625
Length of side DE = 5.625
EF = \(\sqrt{7.5^{2}-5.625^{2} }\) = \(\sqrt{56.25-31.64}\) = √24.61 = 4.96
Next,
3. DE = 7.5
AB/BC = DE/DF
3/4 = 7.5/x
x = (7.5 × 4) / 3 = 30/3
x = 10
Length of side DF = 10
EF = \(\sqrt{10^{2}-7.5^{2} }\) = \(\sqrt{100-56.25}\) = √43.75 = 6.61
That is,
1. Length of side DE = 9
Length of side DF = 15
2. Length of side DE = 5.625
Length of side EF = 4.96
3. Length of side DF = 10
Length of side EF = 6.61
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For 1-4 which congruence postulate or theorem could be used to prove that the triangles are congruent
Answers
Answer:
Theorem 4.6 Angle-Angle-Side (AAS) Congruence Theorem: If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.
Step-by-step explanation:
4 ft
He wants to cover the entire model, including the base, with
gray paper.
How many square feet of paper will he need to cover the
model?
Answers
The square feet of paper that will cover the model is 56 ft squared.
How to find the surface area of a pyramid?The model above is a square base pyramid. Therefore, the square feet of papers he will need to cover the model is the surface area of the model.
Therefore,
surface area of the square base pyramid = A + 1 / 2 ps
where
A = surface area of the pyramidp = perimeter of the bases = height of the pyramidTherefore,
p = 4 × 4 = 16 ft
s = 5 ft
A = 4² = 16 ft²
Therefore,
surface area of the square base pyramid = 16 + 1 / 2 × 16 × 5
surface area of the square base pyramid = 16 + 40
surface area of the square base pyramid = 56 ft²
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need help on this plz and thank you
Answers
Answer:
Yes
Step-by-step explanation:
Yes, it's a function.
If It have one more y to the same x, it's not a function.
I hope I've helped you.
In a basketball game tamara made 16 out of 20 shots from the free throw line what percent of her shots did she make.
Answers
Answer:
80%
Step-by-step explanation:
16/20 can be simplified to 4/5
4/5 = .8 or 80%
What is the value of Q3 of the data represented by the box plot?
Enter your answer in the box.
Answers
The value of Q₃ of the data represented by the box plot is,
⇒ Q₃ = 30
Given that;
A box plot is shown in figure.
Now, We have been given an image of a box plot and we are asked to find the value of third quartile represented by our given box plot.
Since, we know that the upper or 3rd quartile is represented by the last line of the box.
We can see that 1st line of our box is at 20 ,so it will be 1st or lower quartile.
And, The middle line is at 25, so median for our given box plot is 25.
The last line of the box is at 30, which is representing the upper or third quartile of our given box plot.
Therefore, the third quartile, is 30 for our given box-plot.
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y-4=-2(x-3) in standard form using integers
Answers
Answer:
-2x-6 I think
Step-by-step explanation:
I think that it is -2x-6 because I did -2 and x is -2x and -2 times -3 is 6.
write 5.8 as a mixed number and as a improper fraction write ur answers in simplest form
Answers
Answer:
Plzz choose me brainliest
Step-by-step explanation:
Answer:
5 4/5 or 29/5
Step-by-step explanation:
5.8 = 58/10 = 29/5 . . . . improper fraction
5 8/10 = 5 4/5 . . . . . . . . mixed number
An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
Answers
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
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which weighs more a bicycle that weighs 14 kilograms or a dog that weighs 30 pounds? note 1 pound is about 0.45 kilograms
Answers
Answer:
The bicycle
Explanation:
The weight of the bicycle = 14 kilograms
The weight of the dog = 30 pounds
To compare, we ensure that the two weights are in the same units.
\(\begin{gathered} 1\; pound=0.45\; kilograms \\ \implies30\text{ pound }=0.45\; \times30\operatorname{kg}=13.5\operatorname{kg} \end{gathered}\)We then have:
• The weight of the bicycle = 14 kilograms
,• The weight of the dog = 13.5 kilograms
Since 14kg is greater than 13.5kg, the bicycle weighs more.
15. You have $200 in a savings account. Each week for 8 weeks, you take
out $18 for spending money. How much money is in your account at
the end of 8 weeks?
Answers
Answer:
$66
Step-by-step explanation:
T=200-18W
where W is number of weeks
T=200-18(8)
T=200-144
T=66
Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.
-80x+24.5y-56
-80x+28y+56
80x+28y+56
4(-20x+7y-14)
-4(-20x+7y-14
Answers
Answer:
4(-20x+7y-14) .. only one option correct
Step-by-step explanation:
8(-10x+3.5y-7) = -80x + 28y -56
4(-20x+7y-14) = -80x +28y -56
I'll Give brainliest to whoever answers is correct
Answers
Answer:
52
Step-by-step explanation:
RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.
Answer:
52 degrees
Step-by-step explanation:
right angle = 90
90-38=52
So RTQ = 52 degrees
Sean's father decided that the number of hours Sean should study daily is equal to the equation y + 4 16. where y is the
number of study hours and z is the number of relaxation hours. Sesn's mother believes that the number of hours Sean should study
dally should be equal to the equation 2y + 5z = 32. Sean's parents have decided to use both equations to determine the number
of hours Sean should study and relax What is an equivalent equation to the addition of Sean's mother's equation and Sean's father's
equation? Select all that apply.
Answers
Answer and explanation:
We add both equations to get a simultaneous equation
y+4z=16
2y+5z=32
We solve the equations using elimination method:
Multiply equation 1 by 5 and equation 2 by 4 to cancel out z
5y+20z=80
8y+20z=160
-3y=-80
Y=26.7
Substitute y=26.7 in equation 1
26.7+4z=16
4z=16-26.7
z= -2.67
y+z=26.7+(-2.67)= 24.03
Yolanda scored 10 points in a basketball game. She could have scored with one‐point free throws, two‐point field goals, or three‐point field goals. In how many different ways could she have scored her 10 points?
Answers
she could have scored the 10 points in 302400 ways.
The given parameters are
n= total points =10
r1 =one-point free throw = 1
r2 = two-point field goals = 2
r3 = three-point field goals = 3
The number of ways (k) she could have scored the points is:
k=(n!)/(r1!×r2!×r3!)
The factorial function is a mathematical formula represented by an exclamation mark "!".
k= 10!/(1!×2!×3!)
k= 3628800/(1×2×6)
k= 302400
so.. she could have scored the 10 points in 302400 ways.
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Please answer ASAP i will brainlist
Answers
The second coordinate of the given first coordinate is determined as;
f(0) = 1 and (1) = 0.7.
What is the second coordinate of the given coordinate?
The second coordinate of the given first coordinate is calculated by applying the following method as follows;
The given function;
F(x) = 0.7ˣ
The value of f(0) is calculated as;
f (0) = 0.7⁰ = 1
The value of f(1) is calculated as;.
f (1) = 0.7¹ = 0.7
Thus, the second coordinate of the given first coordinate is determined by applying the appropriate substitute of the function as shown above.
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