Answer:
The number of tigers decays by a factor of
[tex]\dfrac{4}{5}[/tex] every 0.50 years
Explanation:
The correctly written function is
[tex]N(t)=650\cdot \bigg(\dfrac{16}{25}\bigg)^t[/tex]
Convert 16/25 into its equivalent form (4/5)²
[tex]N(t)=650\cdot \bigg(\dfrac{4}{5}\bigg)^{2t}[/tex]
If you make t = 1/2, this is half-year, the population of tigers will decay by a factor of 4/5 in that time. Every time the half-year passes, the population is multiplied by 4/5, which means that the polulation will decay by a factor of 4/5 whenever half a year elapses.
Hence, the number of tigers decays by a factor of 4/5 every 0.50 years.
The tiger population model indicates a decay by a factor of 4/5 every year. This factor shows the yearly reduction rate for the tiger population in Siberia.
To determine the rate of change in the tiger population modeled by the function N(t) = [tex]650 \cdot \left(\frac{16}{25}\right)^t,[/tex] we look at the decay factor in the exponential function. The base of the exponent, [tex]\frac{16}{25}[/tex], indicates that the population is decaying.
This decay factor can be expressed as [tex]\frac{4}{5}[/tex], where every year, the number of tigers decays by a factor of [tex]\frac{4}{5}[/tex]. Thus, we can complete the sentence as follows:
The number of tigers decays by a factor of [tex]\frac{4}{5}[/tex] every year.
What type of object is pictured below?
Answer:
ray
Step-by-step explanation:
Answer:
C, a ray
Step-by-step explanation
Whole numbers between 10.99 and 13.99
Whole numbers between those two would be 11, 12, and 13.
Answer:
11, 12 & 13
Step-by-step explanation:
Whole numbers between 10.99 and 13.99 are 11, 12 & 13
3/5 * (t + 26) = −3(2 − t)
t =
Answer:
t=9
Step-by-step explanation:
when Quinn got home he turned the air conditioner on. T represents the temperature in Quinn's home (in degrees celsius) after t minutes. T=42-0.7t how fast did the temperature drop ??
Answer:
0.7 per minute
Step-by-step explanation:
0.7 in the equation represents how much the tempeture was dropping per minute.
Answer:
Step-by-step explanation:
T=42-0.7T
T=42-0.7(0)
T=42-0
T=42
Does the graph of y=x2+4x−1 open upward or downward? upward downward
Answer:
Upward
Step-by-step explanation:
The first term is positive meaning it will open upward
Answer: The answer is A: Upward.
Step-by-step explanation: When the first term is positive, the graph open upward.
What is the median of the following numbers
Answer: You did not give me any numbers...
Step-by-step explanation:
just to say, The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set.
What is the least common multiple (LCM) of 7 and 9?
Answer:
63
Step-by-step explanation:
7*9=63
9*7-63
Answer:
63
Step-by-step explanation:
7 and 9 multiply to 63 at the least
Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.
Complete the following steps to help Rylee find the net change to her banking account balance.
Answer: The net change to her banking account balance is $83.22.
Step-by-step explanation:
Hi to answer this question we have to analyze the information given:
She spent $36.50 plus 8% tax. ( to calculate the tax amount we have to multiply the cost by the percentage in decimal form)
36.50 x (8/100) =$2.92 (value of tax)
Adding to the original cost
36.50+2.92 = $39.42
Then, she spent $25 to refuel her car at the gas station.
39.42 +25 = $64.42
She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase
23.50 x (20/100) = 4.7 (amount of discount)
Subtracting to the purchase
23.50 -4.7= $18.8
Finally, adding to the total cost.
64.42 +18.8 = $83.22
Final answer:
To find the net change in Rylee's banking account balance, calculate the tax on her clothing purchase, add the fuel cost, and then subtract the grocery discount from the grocery purchase before summing all costs to get a total of $83.22.
Explanation:
The problem of calculating the net change to Rylee's banking account balance is a typical Mathematics problem involving percentages and addition. This is commonly tackled at the High School level. To solve it, we will need to calculate the total cost of each of Rylee's expenditures, including the application of tax and discounts where applicable.
Start by calculating the tax on the clothing store purchase: $36.50 * 8% = $2.92.Add the tax to the original amount to get the total clothing cost: $36.50 + $2.92 = $39.42.Add the fuel cost directly as there is no tax mentioned: $39.42 + $25 = $64.42.Calculate the discount on groceries: $23.50 * 20% = $4.70.Subtract the discount from the grocery total to find the final cost: $23.50 - $4.70 = $18.80.Add the discounted grocery cost to the previous total: $64.42 + $18.80 = $83.22.The net change to Rylee's banking account balance after all her purchases is $83.22.
Which is a right triangle formed using a diagonal through the interior of the cube?
Answer:
ΔABE is correct because it is a right triangle through a diagonal
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Select all that are measures of angles that are coterminal with a –50° angle. –770° –530° –410° 50° 310° 360° 410° 670°
Answer:
-770, -410, 310, 670
Step-by-step explanation:
-50 + 360 = 310
310 + 360 = 670
-50 - 360 = -410
-410 - 360 = -770
For the angle -50°, from the given options, the coterminal angles are: -770°,-410°, 310° and 670°.
Coterminal AnglesThis classification represents angles that do not present the same value, but they present vertices and sides are identical. Also, if the angles are coterminal, then their sines, cosines and tangents are equal.
A coterminal angle can be found from the formula β = α ± 360 * w, where w is a positive integer.
You should replace w for integers numbers ≥ 1. Hence,
For w=1 and α=-50°β = -50± 360 * 1
β = -50± 360
Then, β can be -50+360=310° or -50-360= -410°
For w=2 and α=-50°β = -50± 360 * 2
β = -50± 720
Then, β can be -50+720=670° or -50-720= -770°
For w=3 and α=-50°β = -50± 360 * 3
β = -50± 1080
Then, β can be -50+1080=1030° or -50-1080= -1130°
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Rusty’s favorite meal consists of a corn dog, tater wedges, and a fudge sickle. Rusty has decided to order a corn dog and to choose his side and dessert randomly. What is the probability that Rusty will not end up with his favorite meal?
A. 1/80
B. 1/16
C. 15/16
D. 79/80
Answer:
Option C.
Step-by-step explanation:
It is given that Rusty’s favorite meal consists of a corn dog, tater wedges, and a fudgesicle.
Rusty has decided to order a corn dog and to choose his side and dessert randomly.
We need to find the probability that Rusty will not end up with his favorite meal.
Total number of sides = 4
Total number of desserts = 4
Total possibilities = 4 × 4 = 16
Possible ways of selecting tater wedges and a fudge sickle = 1
Probability that Rusty will end up with his favorite meal is
[tex]P=\dfrac{1}{16}[/tex]
Probability that Rusty will not end up with his favorite meal is
[tex]P'=1-P=1-\dfrac{1}{16}=\dfrac{15}{16}[/tex]
Hence, the correct option is C.
need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2
Step-by-step explanation:
a=4 so plug 4 in for a 4+(-b) now we know b=2 but it has to in for b so we would get 4+(-2) now solve 4+-2 or if you think about 4-2 is easier it's going to be 2.
Which sequence are geometric?
Answer:
The second one
The third one.
The last one.
Step-by-step explanation:
Hope this helps!
NEED ANSWER ASAP!!!Keiko and Eric each randomly surveyed people with cell phones. They recorded peoples'
ages (a years) and how many texts they send per day on average (t texts). For their respective data, they each drew a line of best-fit and determined its equation. They then compared equations and made inferences based only on the equations they calculated.
In this Age and Texting question, The true statement based on this information is that the younger a person is, the more likely they are to text. So the correct answer is option 3rd.
The two equations given represent the lines of best fit for the data collected by Keiko and Eric regarding peoples' age and the number of texts they send per day on average.
By analyzing the equations, we can make inferences about the relationship between age and the number of texts. Keiko's equation, t = -1.63a + 92.14, suggests that as age increases, the number of texts decreases.
Eric's equation, t = -1.05a + 80.97, also indicates a negative relationship between age and the number of texts, but with a slightly smaller slope. Therefore, the true statement based on this information is that the younger a person is, the more likely they are to text.
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Can someone help me do this thank you
Answer:
d = 15
Step-by-step explanation:
6+15 = 21
I NEED HELP! (Tap on picture!)
What is the volume, in cubic ft, of a cylinder with a height of 17ft and a base radius of 5ft, to the nearest tenths place?
Answer: 1335.2 ft^2
Step-by-step explanation: The volume of a cylinder formula is V=πr^2h. Just plug in 17 into h and 5 into r. Also the 2 is an exponent
The volume of the cylinder with a height of 17ft and a base radius of 5ft is approximately 1335.2 cubic feet.
What is the volume of a substance?The volume of a substance is the total space occupied by the substance in the three-dimensional space.
How do we determine the volume of a cylinder?The volume of a cylinder with the radius of the base r units, and a height of h units is given by the formula:
The volume of a cylinder = πr²h cubic units.
How do we solve the given question?In the question, we are asked to determine the volume of a cylinder with a base radius of 5ft and a height of 17ft.
We are given base radius r = 5ft, height h = 17ft.
To determine the volume, we use the formula of the volume of a cylinder:
The volume of a cylinder = πr²h cubic units.
or, Volume = π*(5²)*17 cubic feet
or, Volume = 3.1415*25*17 cubic feet (Taking π ≈ 3.1415)
or, Volume = 1335.1768 cubic feet ≈ 1335.2 square feet (Nearest tenths)
∴ The volume of the cylinder with a height of 17ft and a base radius of 5ft is approximately 1335.2 cubic feet.
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The degree for 6g²h³k?
Answer:
the degree for this monomial is 7
Step-by-step explanation:
g^2 = 2
h^3= 3
k = 1
add the exponents- 2+3+1= 7
Pablo put $1,260 into a savings account that earns 3% simple interest per year. He does not make any deposits or withdrawals. How much money will be in Pablo's account after 2 years?
Answer:
$1,335.60
Step-by-step explanation:
6% of $1,260 is $75.60. $1,260 + $75.60 = $1,335.60
Hope this helps!!
The area of a square garden is 36 square feet. What is the side length of the garden
Answer:
6
Step-by-step explanation:
because 6 times 6 =36 so the answer is 6
Answer:
6 ft
Step-by-step explanation:
We know that side * side equals area, and that squares have all sides the same length. So therefore, A = [tex]s^{2}[/tex].
If we know the area, then we can do [tex]\sqrt{36}[/tex] which equals 6
can someone please help answer this problem ASAP!!!:)
Answer:
c
Step-by-step explanation:
i am a really good guesser and i think it is c
What is the length of Line segment B C? Round to the nearest tenth.
Triangle A B C is shown. Angle B C A is a right angle and angle C A B is 65 degrees. The length of hypotenuse B A is 16 centimeters and the length of B C is x.
6.8 cm
7.5 cm
14.5 cm
17.7
Answer:
14.5
Step-by-step explanation:
since the hypotenuse is 16 you multiply that by (sin(65)) and 14.5 is the answer.
Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write the answer in percent.
P(greater than 3)=
P(not 5, 6,7,or 8)=
Answer
probability of greater than 3 is 60%
not 5,6,7 or 8 is 60%
Answer:7/10
Step-by-step explanation: multiple of 4 is: 1,2,4. So that's 3 number which would leave you with 7 more which is 70% and 7/10 as a fraction
On her MP3 player, Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes. What is the probabilty the next song will be longer than three minutes?
Step-by-step explanation:
Total songs = 36 + 72 = 108
[tex]required \: probability = \frac{72}{108} \\ \hspace{100 pt} = \frac{2}{3} \\ [/tex]
Hence, probabilty that next song will be longer than three minutes is [tex] \frac{2}{3}[/tex]
Final answer:
The probability that the next song will be longer than three minutes is 2/3 or 66.67%.
Explanation:
The question concerns calculating the probability of selecting a song longer than three minutes from Stephanie's MP3 player. Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes.
To find the probability that the next song will be longer than three minutes, we add the total number of short and long songs to get the total number of songs. The total is 36 + 72 = 108 songs. Since probability is the number of favorable outcomes divided by the total number of outcomes, the probability of selecting a song longer than three minutes is 72 (favorable outcomes) divided by 108 (total outcomes).
This calculation gives us 2/3 or approximately 0.6667, meaning there is a 66.67% chance the next song will be longer than three minutes.
You go to the store and find some books that are 35% off regular price. If a book costs $20, what would you pay?
Answer: 13 dollars
Step-by-step explanation:
Answer:
13 dollars.
Step-by-step explanation:
Hope this helps!
Multiply 20 dollars by 0.65.
Find the perimeter of the colored part of the figure. The figure is composed of small squares with side-length 1 unit and curves that are an arc of a circle(half circle). Use 3.14 for pi.
Answer:
16.56 in
Step-by-step explanation:
4 sides of the squares are exposed
The radius of each semicircle is 1 since they are against 2 squares.
2pi*r=circumfrence
2pi*1=6.28
6.28/2=3.14 because it's a semicircle
3.14*4=12.56 because there are 4 equal semicircles
12.56+4=16.56
Simplify:
X(3.8 - 2.6) +3+3.2 (x + 2)
Answer:
4.4x+9.4
Step-by-step explanation:
x(3.8)-x(2.6)+3+3.2(x)+3.2(2)
3.8x-2.6x+3+3.2x+6.4
Combine all of x's with the blanks
4.4x+9.4
Find the surface area of a sphere with radius of 1.5 and slant height of 6.
Answer:
about 28.27
Step-by-step explanation:
A=4πr2
The Swaying Palms Hotel has 200 rooms. The graph shows the average number of
rooms occupied during each month of the year. During which month does the hotel
have the most empty rooms?
Answer:
Februay
Step-by-step explanation:
What is the equation of the line through the points (-3, 4) and (5, 4)?
Answer:
The correct equation (in slope intercept form) is [tex]y=-4x+8[/tex]
The equation of the line through the points (-3, 4) and (5, 4) is y=4.
What is the equation of a line?The standard form of the line is;
[tex]\rm y=mx+c[/tex]
The slope of the line is;
[tex]\rm m=\dfrac{x_2-x_1}{y_2-y_2}\\\\m =\dfrac{5-(-3)}{4-4}\\\\m =\dfrac{8}{0}\\\\m=0[/tex]
The equation of the line through the points (-3, 4) and (5, 4) is;
[tex]\rm y-y_1=m(x-x_1)\\\\y-4=0(x-(-3))\\\\y-4=0\\\\y=4[/tex]
Hence, the equation of the line through the points (-3, 4) and (5, 4) is y=4.
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