Answer: (19, 20)
Step-by-step explanation:
The population of a certain fish species can be modeled using the equation
P(t)= 50e0.15t
where t is the number years after 2018.
A particular lake can accommodate at most 3,500 of this fish species.
Based on the model, during which year will the population of fish first exceed the capacity of the lake?
a. 2022
b. 2028
c. 2046
d. 2088
Answer: 2046
Step-by-step explanation:
:)
Which expressions
are
equivalent to 4-2.7-2 ?
If 3/4 of a certain number is equal to 41/2 find the number
Answer:
[tex]x = \frac{82}{3}[/tex]
Step-by-step explanation:
let [tex]x[/tex] be that number[tex](\frac{3}{4} )x = \frac{41}{2}[/tex]
[tex]\frac{3x}{4} = \frac{41}{2}[/tex]
multiply both sides by [tex]4[/tex][tex]\frac{3x}{4} * 4 = 4 * \frac{41}{2} \\3x = \frac{41 }{2} * 2 * 2\\3x = 41 *2 \\3x = 82 \\[/tex]
divide both sides by 3[tex]\frac{3x}{3} = \frac{82}{3}[/tex]
[tex]x = \frac{82}{3}[/tex]
The number is [tex]\frac{82}{3}[/tex] .
What is fraction?Fractions , represent a numerical value that expresses a part of a whole. The whole can be any number, a specific value, or a thing. Fractions are represented in the form of p/q. For example, ¼, ½, ¾, and so on.
According to the question
Let the number be x .
If 3/4 of a certain number is equal to 41/2
i.e
[tex]\frac{3}{4}x = \frac{41}{2}[/tex]
x = [tex]\frac{41}{2} *\frac{4}{3}[/tex]
x = [tex]\frac{82}{3}[/tex]
Hence, the number is [tex]\frac{82}{3}[/tex] .
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Which situation could be represented by the graph?
Students in the children’s choir are at least 8 years old but no more than 11 years old.
Babysitters earn between $8 and $11 per hour.
A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.
The dogs at a veterinary clinic are all 8 years old or under or are older than 11 years.
Answer:
A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.
Step-by-step explanation:
1. The closed dot means the number is equal to and the open dot means the number is less/ greater than
2. The line goes right from the 8 with a closed dot, making x greater than or equal to 8
3. The line goes left from the 11 with an open dot, making x less than ll
4. This means the number must be equal to or greater than 8, and less than 11
The situation that can be represented by the graph is this:
A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.What is highlighted in the number line?In the number line, numbers 8 to 11 are shaded. This is a range which can mean that the time duration for the completion of a college program cannot be lower that 8 months.
It can also be interpreted to mean that the time span cannot exceed 11 months. Therefore, option C is right.
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The sum of 2 consecutive numbers is 69. What are the numbers?
Answer:
34, 35Step-by-step explanation:
z - some integer
then the consecutive integer would be:
z+1, (or z-1)
the sum is 69 so:
z + z+1 = 96
2z = 68
z = 34
z+1 = 34 + 1 = 35
(or:
z + z-1 = 69
2z = 70
z = 35
z-1 = 35 - 1 = 34)
What value of y will make the equation true?
V34 x V = 34
helpmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answer:
B. 1.2×10^-3 mm
Step-by-step explanation:
What constitutes an "appropriate" unit depends on the use of the number. Since we're not told of any particular use, we might choose the smallest of the available units: mm.
1.2×10^-3 mm
_____
Additional comment
The most appropriate unit would be the one that eliminates the power-of-ten multiplier:
= 1.2 µm
Is 0 rational, integer, whole, natural, or irrational?
Answer:
0 is a rational, whole, integer and real number. Some definitions include it as a natural number and some don't (starting at 1 instead).
Step-by-step explanation:
Hope this helps
80°
11x - 8
solve for x
Answer:
Step-by-step explanation:
11x - 8 = 80
11x = 88
x = 8
(-2,+[tex]\sqrt{x}[/tex]-7)[tex]x^{2}[/tex]
(-2 = √x - 7)x² (calculate)
(-9 = √x)x² (remove the parantheses)
-9x² + √x x²
used to have a square garage with ft of floor space. recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Answer:
I used to have a square garage with ft of floor space. recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Step-by-step explanation:
10
Answer: the answer is 18.2
Step-by-step explanation:
i did the question on Savvas Realize so i got the answer after i got it wrong
given: (5y-1)/(2)=7 prove: y=3
Total cost, words, and math: Socks $4 per pair Shorts $8 per pair
How are alternate exterior angles related?
Answer:The Alternate Exterior Angles Theorem states that if a pair of parallel lines are cut by a transversal, then the alternate exterior angles are congruent. Here we have a new pair of lines, parallel and crossed by a transversal.
10. The value of the 8th term is 78.
The sequence is increasing by 10 at each step.
Explicit equation: y = 10x - 2
Recursive: now = previous term + 10
Find the 9th term.
Explanation:
Answer: The answer is 88
Step-by-step explanation: It is recursive because you can add 78+10=88
I don’t get it can someone explain?
Answer:
The answer is
[tex]\frac{29}{4} \: \: \: or \: \: \: 7 \frac{1}{4}[/tex]Step-by-step explanation:
[tex]12 \frac{7}{8} - 5 \frac{5}{8} [/tex]To solve the expression first change the mixed fraction to an improper fraction
That's
[tex]12 \frac{7}{8} = \frac{103}{8} \\ \\ \\ 5 \frac{5}{8} = \frac{45}{8} [/tex]So we have
[tex] \frac{103}{8} - \frac{45}{8} [/tex]Since they have the same denominator we can subtract them directly
We have
[tex] \frac{103}{8} - \frac{45}{8} \\ = \frac{58}{8} [/tex]Reduce the fraction with 2
We have the final answer as
[tex] \frac{29}{4} \: \: \: or \: \: \: 7 \frac{1}{4} [/tex]Hope this helps you
Answer:
7 2/8
Step-by-step explanation:
First step is to take both of the whole numbers and subtract them. You should get 7. After that you have to subtract the fractions and you should get 2/8. the. You put the fractions and the whole number which is 7 2/8.
Simplify:
A. 4.08
B. 5.62
C. -7.62
D. -9.14
Answer:
A: 102/25
B: - 281/50
C: −7 and 31/50
D: 9 and 7/50
Step-by-step explanation:
A. simplified mixed fraction would be 4 2/25
B. 5 31/50
C. -7 31/50
D. -9 7/50
Solve for p in terms of V, n, R, and T.
PV = nRT
P=
The value of P for the expression PV = nRT will be P=nRT/V.
What is an expression?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given expression is PV = nRT. The value of p for the expression is calculated as:-
PV = nRT
P = nRT / V
Therefore, the value of P for the expression PV = nRT will be P=nRT/V.
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plz I need help with this ASAP
Answer:
Step-by-step explanation:
in step 4, he subtracted the wrong direction
What is the probability that the measurement of the segment is greater than 3 !!!
Answer:
Probability = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Length of segment AD = 12 units
Since, AC = CD
Therefore, AC = CD = [tex]\frac{12}{2}[/tex] = 6 units
Since, AB = BC
Therefore, AB = BC = [tex]\frac{1}{2}AC[/tex] = 3 units
Number of total segments = 5
Number of segments having measure greater than three = 3
(AC = CD = 6 units and AD = 12 units)
Probability that the measure of a segment is greater than 3
= [tex]\frac{\text{Number of segments measuring greater than 3}}{\text{Total number of segments}}[/tex]
= [tex]\frac{3}{5}[/tex]
help me pls i need this its been 4 hours
Answer:
≈ 33.3 cm²
Step-by-step explanation:
Given the linear ratio of 2 similar cones = a : b , then
ratio of their areas = a² : b²
Here the ratio of radii = 2 : 3 , thus
ratio of areas = 2² : 3² = 4 : 9
let x be the area of the smaller cone then by proportion
[tex]\frac{4}{x}[/tex] = [tex]\frac{9}{75}[/tex] ( cross- multiply )
9x = 300 ( divide both sides by 9 )
x = 33.33333
Thus
surface area of smaller cone ≈ 33.3 cm² ( nearest tenth )
Noah spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -13°F. Between 9am and noon, the temperature increased by 6.3°F. Between noon and 3pm, the temperature rose 3.9°F. Between 3pm and 6pm, the temperature decreased by 16.1°F. What was the temperature at 6pm?
Answer:
-18.9 °F
Step-by-step explanation:
First, find the temperature at noon:
-13 + 6.3
= -6.7
Then, find the temperature at 3pm:
-6.7 + 3.9
= -2.8
Then, find the temperature at 6pm:
-2.8 - 16.1
= -18.9
So, the temperature at 6pm was -18.9 °F
hi i'm Jasmine, princess of Agrabah
Answer:
hello Jasmine, princess of Agrabah
Simplify: (3x – 1) (x3 + 2x + 1)
o A. 3x4 + 6x2 + 2 - 1
O B. 3x4 – 23 + 6x2 + x – 1
C. 2x3 + 6x2 + x +1
O D. 3x4 + 203 + 6x2 + 1
Answer:
B: 3x4-x3+6x2+x-1
Answer:
[tex]3x^4-x^3+6x^2+x-1[/tex]
Step-by-step explanation:
Distribute parentheses:
[tex]3xx^3 + 3x * 2x + 3x * 1 + (-1)x^3 + (-1) * 2x + (-1) * 1[/tex]
Add minus and plus rules:
[tex]3x^3x + 3 * 2xx + 3 * 1 * x - 1 * x^3 - 1 * 2x - 1 * 1[/tex]
Simplify:
[tex]3x^4-x^3+6x^2+x-1[/tex]
Find an equation of the line through (1, 7) and parallel to y=2x-2
Answer:
Step-by-step explanation:
y - 7 = 2(x - 1)
y - 7 = 2x - 2
y = 2x + 5
iven f(x) = 2x2 - 4x-3, find f (a + 3)
Greetings from Brasil...
To solve this question, just replace X of function F(X) with A + 3
F(X) = 2X² - 4X - 3
F(A + 3) = 2 · (A + 3)² - 4 · (A + 3) - 3
(A + 3)² = A² + 2 · A · 3 + 3²
F(A + 3) = 2 · (A² + 6A + 9) - (4A + 12) - 3
F(A + 3) = 2A² + 12A + 18 - 4A - 12 - 3
F(A + 3) = 2A² + 8A + 3Ms. Scott wrote a test. Part A had true/false questions, each worth 6 points. Part B had multiple choice questions, each worth 4 points. She made the number of
points for Part A equal the number of points for Part B. It was the least number of points for which this was possible,
Answer the following questions.
How many points was each part worth?
points
How many questions did Part A have?
questions
How many questions did Part B have?
questions
Answer:
1. How many points was each part worth?
- 12 points
2. How many questions did part A have?
- 2 questions
3. How many questions did Part B have?
- 3 questions
Step-by-step explanation:
We can set up our equation like this:
6x = 4y
In the above equation, x is representing the number of true/false questions and y is representing the nymber of multiple choice questions.
Now, the problem tells us that they want the least number of points possible so we know we need to use low numbers.
Since 6 is higher than 4, it's easier to go off of there.
6 x 1 = 6 4 is too big to go into 6 so we will move on.
6 x 2 = 12 4 goes into 12 3 times so we can use this.
Now that we've figured this out, we can put it in our equation:
6(2) = 4(3)
In the above equation, we can see that I've put 2 in for x because we multiplied 6 by 2 to get 12. I also put 3 in for y because we multiplied 4 by 3.
Now we can start with the questions:
1. How many points was each part worth?
Each part was worth 12 points because we can multiply 6 by 2 and get 12 or 4 by 3 and get the same thing
2. How many questions did part A have?
Part A had 2 questions because this is what x was when we multiplied by 6
3. How many questions did Part B have?
Part B had 3 questions because this is what y was when we multiplied by 4
Hope this helps!!
Write the fraction as a decimal.
310
Answer:
310
Step-by-step explanation:
What is 310 as a decimal? To write 310 as a decimal you have to divide numerator by the denominator of the fraction. 310 is not a fraction so it is a decimal already.
Answer:
3.1 is a decimal and 310/100 or 310% is the percentage for 310/100.
Step-by-step explanation:
What is the relationship between the coordinates of the vertices for ABC and the corresponding vertices for A'B'C'? Explain the relationship in terms of n.
Answer:
The ratio of each vertex coordinate on ΔA'B'C to the corresponding vertex coordinate on ΔABC is equal to 2. For example, A(1, 1) → A′(2, 2). This ratio is equal to the scale factor, n.
Step-by-step explanation:
Plato Sample
I’ve done this before,I’m in 7th rn but I forgot how to do this
Answer:
the answer is 17/12 all u have to do is change it into a mix fraction
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{17}{12}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{ \frac{7}{12} + \frac{5}{6} }[/tex]
Take the L.C.M of 12 and 6
To find L.C.M , first of all find the prime factors of each numbers.
12 = 2 × 2 × 3
6 = 2 × 3
Take out the common prime factors i.e 2 and 3
Also take out the other remaining prime factors : 2
Multiply those all prime factors and obtain L.C.M
L.C.M = Common factors × Remaining factors
= 2 × 3 × 2
= 12
[tex] \dashrightarrow{ \sf{ \frac{7 \times 1 + 5 \times 2}{12}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{7 + 10}{12}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{17}{12}}} [/tex]
Hope I helped!
Best regards! :D
