Currently, there are 1,460 wolves in Scataway National Park. If the population of wolves is growing at a rate of 6% every year,
which function represents the number of wolves in Scataway National Park in tyears?
OA W0 = 1,460(1.06)
B. WO = 1,460(0.94)
OC M6 = 1,460(0.06)
OD. WO = (1,460)(1.06)
Answers
Answer:
[tex]P(t) = 1460(1.06)^t[/tex]
Step-by-step explanation:
Exponential equation for population growth:
The exponential equation for a population after t years is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
Currently, there are 1,460 wolves in Scataway National Park.
This means that [tex]P(0) = 1460[/tex]
Growing at a rate of 6% every year:
This means that [tex]r = 0.06[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 1460(1+0.06)^t[/tex]
[tex]P(t) = 1460(1.06)^t[/tex]
Answer:
Step-by-step explanation:
Related Questions
If 2x + 5 = 82, then 12x = ?
A 5
B
10
C 15
D 20
Answers
Answer:
2x= 38.5
Step-by-step explanation:
I'm not sure where u got 12x but 2 x = 38.5:
2x + 5 =82
subtract 5 for 82
2x = 77
77 divided by 2 is 38.5
x = 38.5
hope this helps :)
HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
X
X
X
X
Answers
Answer:
33% of the people preferred onions
can i get brainliest now lol
1. A student enlarged this rectangle to fill as
much as possible of an 8.5 cm x 11 cm
piece of paper. What scale was used?
6.3 cm
4.7 cm
A 1.75
B 1 : 2.34
C 1 4.43
D 1 : 5.94
Answers
The scores of 10 golfers were 77; 74; 78; 72; 70; 85; 71; 76; 80; 70. Calculate the mean of the dataset.
Answers
Answer:
The mean should be 75.3.
Step-by-step explanation:
[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]
Hope this helps!
You pick a card at random, put it back, and then pick another card at random. 3 4 5 6 What is the probability of picking a 5 and then picking a 3?
Answers
Answer:
1/16
Explanation:
You have a 1/4 chance both times but in probability you multiply when in a sequence of events. 1/4*1/4= 1/16
Complete the blanks:
Horizontal lines have _____
slope and vertical lines have slope.
Horizontal lines have _______ equations that say __= any number.
Vertical lines have equations that say __= any number.
Answers
Answer:
Horizontal lines have __zero___
slope and vertical lines have undefined slope.
Horizontal lines have ___linear____ equations that say _y_= any number.
Vertical lines have equations that say _x_= any number.
Answer:
To write the equation of a horizontal line, we only need to specify where it intersects with the y-axis. This will look like y=k, where k is where the line crosses the y-axis.
The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept .
Step-by-step explanation:
Mark me brainliest plzzzzzzzzzzzzzzzzzzzzzz
A dilation has center at the origin. Which of the following is the image of the point P(1.- for a scale
factor of
A
D: (P) = P(x3)
B
D}(P) = P',
C
D:(P) = P1C-
D
D}(P) = PG-)
Answers
Answer:
C. [tex]D_\frac{1}{7} (P)=P'(\frac{1}{4},-\frac{5}{14} )[/tex]
Step-by-step explanation:
[tex]\frac{7}{4}*\frac{1}{7}=\frac{7}{28} =\frac{1}{4}[/tex]
[tex]-\frac{5}{2} *\frac{1}{7} =-\frac{5}{14}[/tex]
g if we want to calculate a confidence interval of the difference of two proportions what is the standard error (do not pool for this answer)
Answers
Answer:
The standard error is [tex]s = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex], in which [tex]p_1,p_2[/tex] are the proportions and [tex]n_1,n_2[/tex] are the sample sizes.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The standard error is:
[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
For the difference of proportions:
For proportion 1, the standard error is:
[tex]s_1 = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}}[/tex]
For proportion 2, the standard error is:
[tex]s_2 = \sqrt{\frac{\pi_2(1-\pi_2)}{n_2}}[/tex]
For the difference:
The standard error is the square root of the sum of the squares of each separate standard error. So
[tex]s = \sqrt{(\sqrt{\frac{\pi_1(1-\pi_1)}{n_1}})+(\sqrt{\frac{\pi_2(1-\pi_2)}{n_2}})^2} = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex]
The standard error is [tex]s = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex], in which [tex]p_1,p_2[/tex] are the proportions and [tex]n_1,n_2[/tex] are the sample sizes.
A rectangular room is 11 feet by 14 feet. The ceilings are 9 feet high. If a gallon of paint covers 250 square feet. How many gallons of paint are needed to paint the room?
Answers
Answer:
3 gallons or 3.032
Step-by-step explanation:
find the total surface area (758)
divide by 250 or subtract 250 till it is under that number
What is 787,452 rounded to the nearest ten thousand?
Answers
Answer:
790000
Step-by-step explanation:
Answer:
790,000
Step-by-step explanation:
1 gold plate weight 30 mg if the weight of some plates is 450 ml mg find the number of plates
Answers
Answer:
15 plates
Step-by-step explanation:
450 divided by 30 = 15, meaning 30 x 15 would be 450 mg. This also means that if the weight of some plates was 450 mg, there would be 15 plates.
Answer:
15
Step-by-step explanation:
Your units are a little confused.
The mass (total ) is 450 mg
1 plate weighs 30 mg
1 plate / 30 mg = x plates / 450 mg Cross multiply
1 * 450 = 30x Divide by 30
450 / 30 = x
x = 15
There are 15 gold plates.
can someone help me.?!
Answers
[tex]{\boxed{\mathcal{\red{h\:=\:9.5}}}}[/tex] ✅
Step-by-step explanation:-[tex]h + \frac{1}{2} = 10 \\ ⇢ h + 0.5 = 10 \\ ⇢ h \: = 10 - 0.5 \\ ⇢ h = 9.5[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Which polynomial function has a leading coefficient of 2, root-5 with multiplicity 3, and root 12 with multiplicity 1?
Of(x) = 2(x - 5)(x - 5)(x - 5)(x + 12)
Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12)
O f(x) = 3(x - 5)(x - 5)(x + 12)
Of(x) = 3(x + 5)(x + 5)(x - 12)
Answers
Answer:
Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12) or Choice 2
Step-by-step explanation:
The last two answers get eliminated because their leading coefficients aren't 2. The first option is wrong because if you plug in -5 and +12 into x the function won't equal 0. So the correct answer is the Second answer: Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12)
Answer:
The polynomial function that has a leading coefficient of 2, a root of 5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is choice 2.
Step-by-step explanation:
A leading coefficient of 2 means that the number multiplying all the binomial would be 2, so you know it is not choices 3 and 4. A root of -5 with a multiplicity of 3 means that when you replace x with -5, three binomials will result in 0, which helps eliminate the first choice. A root of 12 with a multiplicity of 1 means that when you replace x with 12, you will have a binomial that results in 0. Using all of this information, you'll get that the polynomial that has a leading coefficient of 2, a root of -5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is [tex]f(x)=2(x+5)(x+5)(x+5)(x-12)[/tex].
The sixth-grade class is raising money to have a
class trip at the end of the year. They began the year
with $1,500. Now they have $1,650 in the account.
What is the percent increase for the money the class
has raised?
Answers
Answer:
There is a 10 percent increase
PLZ HELP PLZ PLZ this is my last final plz
A restaurant sells soups and salads. Soup costs $5.50, and a salad costs $8. On a particular day, the restaurant sells 58 items and makes $371.50.
Which system of equations can be used to find the amount of soup, x, and salad, y, the restaurant sold?
OA
5.50x = 58
8y = 371.50
OB.
5.50x = Sy
58x = 371.50y
x + y = 58
Oc.
5.50x + 8y = 371.50
x+y = 371.50
OD.
5.50x + 8y = 58
Answers
Answer:
b
Step-by-step explanation:
7k-6,2k+14 solve for K
Answers
Answer:
0.8k +14
Step-by-step explanation:
See the steps below:)
Choose A B C or D
State if the triangles in each pair are similar. If so, state how you
know they are similar
A) similar; SAS similarity
C) not similar
B) similar; SSS similarity
D) similar, AA similarity
Answers
Answer:
Option D
Step-by-step explanation:
From the picture attached,
m∠K ≅ m∠C [Given]
m∠L = m∠D [Given]
By AA property of similarity,
Both the triangles ΔDEC and ΔLMK are the similar triangles.
Option D will be the correct option.
what is the answer to this?
Answers
Answer:
This is the answer:
330550=
Which of the following are true statements about a 30-60-90 triangle?
Lan
Answers
Answer:
C and F
Step-by-step explanation:
Answer:
A, F
Step-by-step explanation:
ratio of sides in a 30-60-90 triangle is 1 : [tex]\sqrt{3}[/tex] : 2
can someone please help I will do anything
Answers
Answer:
678.24 cubic centimeters
Step-by-step explanation:
The table below shows the number of students in four schools with grade
point averages in various ranges. The grade point averages of the students in
which school represent a U-shaped distribution?
School A School B School C School D
Greater than 1.5 but less than 2.0 22 15 82 19
Greater than 2.0 but less than 2.5 39 43 46 57
Greater than 2.5 but less than 3.0 67 98 26
81
Greater than 3.0 but less than 3.5 41 45 59 50
Greater than 3.5 but less than 4.0 27 12 78 17
A. School B
O
B. School C
C. School D
Ο Ο
D. School A
Answers
Answer:
b
Step-by-step explanation:
Step-by-step explanation:
school c so B would be correct
In a certain city, the average 20- to 29-year old man is 69.6 inches tall, with a standard deviation of 3.1 inches, while the average 20- to 29-year old woman is 64.1 inches tall, with a standard deviation of 3.9 inches. Who is relatively taller, a 75-inch man or a 70-inch woman?
Answers
Answer:
the 20-29 year old man are relatively taller.
Step-by-step explanation:
for the old man we have next z- score=75-69.6/3.1=1.74
for the old women we have next z-score=70-64.1/3.9=1.51
A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis.
Which sentence describes the coordinates of the new point?
Answers
This is because the y-axis is vertical, so reflecting across it means you will change the sign of the x-value, and the sign of the y-value will stay constant. Since we start off with a positive x and negative y, we will end up with a negative x and negative y.
Which fraction has the greatest value?
+
-1
0
Jh
1
O
Um
d
HELPPPPP!!!!
Answers
Solve for x.
17
6
15
Answers
Answer:
x = 11
Step-by-step explanation:
Use the Secant-Secant Product Theorem. This theorem states that if two secants intersect in the exterior of a circle, then the products of the lengths of one secant segment and its external segment equal the products of the lengths of the other secant segment and its external segment. \
Use formula : (whole*outside = whole*outside)
1. Formula
WO = WO
2. Substitute variables and setup equation
7(x+7) = 6(6+15)
3. Simplify and remove parentheses
7x+49 = 126
4. Isolate and solve for (x)
7x = 77
x = 11
Answer: 11
Given:
The figure of circle and two secants from an external point.
To find:
The value of x.
Solution:
According to intersecting secant theorem: If two secants (I and II) intersect each other outside the circle then
(I secant) × (external segment of I) = (II secant) × (external segment of II)
Using the intersecting secant theorem, we get
[tex]7(7+x)=6(6+15)[/tex]
[tex]49+7x=36+90[/tex]
[tex]7x=126-49[/tex]
[tex]7x=77[/tex]
Divide both sides by 7.
[tex]x=\dfrac{77}{7}[/tex]
[tex]x=11[/tex]
Therefore, the value of x is 11.
18. If an apprentice can do a piece of work in 24 days, and the apprentice and
instructor together can do it in 6 days, how long would it take the instructor to do
the work alone?
18. If an apprentice can do a piece of work in 24 days, and the apprentice and
instructor together can do it in 6 days, how long would it take the instructor to do
the work alone?
Answers
Answer:
the number of days when instructor do the work alone is 8 days
Step-by-step explanation:
Given that
The apprentice can do the work in 24 days
And, the apprentice and instructor together can do it in 6 days
We need to find out the number of days when instructor do the work alone
So,
[tex]= \frac{1}{6} - \frac{1}{24} \\\\= \frac{4 - 1}{24} \\\\= \frac{3}{24} \\\\= \frac{1}{8} \\\\= 8[/tex]
hence, the number of days when instructor do the work alone is 8 days
Which binomial is a factor of 3x^2 + 2x − 5 ?
3x-1
3x-5
x-1
x-5
Answers
Answer:
3x-1
Step-by-step explanation:
3x^2+2x-5=3x-1 x1-25
Choose a method you prefer to solve for a system of linear equations.
2x + 4y = -4
2x-y=6
Answers
Answer:
Elimination
x = 2
y = -2
Step-by-step explanation:
Elimination
2x + 4y = -4
2x - y = 6
Subtract the second equation from the first
5y = -10
Divide both sides by 5
y = -2
---------------------
Substitute for y = -2 in the second equation
2x - -2 = 6
2x + 2 = 6
subtract 2 from both sides
2x = 4
Divide both sides by 2
x = 2
What is the magnitude of -3 +4i?
Answers
Answer:
we have
-3+4i
let magnitude be |z|
|z|=[tex] \sqrt{( - 3) {}^{2} + 4 {}^{2} } [/tex]
|z|=5 unit
Answer:
The magnitude of -3 +4i is 5
Step-by-step explanation:
What clockwise rotation is equivalent to a 90° counterclockwise rotation?
Answers
Answer: 270°
Step-by-step explanation:
A full rotation is 360° so to find out the clockwise equivalent of a 90° counterclockwise rotation, deduct the counterclockwise rotation from 360°:
= 360 - 90
= 270°
If you rotated 90° counterclockwise, you would get to the same point as if you rotated 270° clockwise.