PLEASE HELP
a marine biologist tags 50 fish at lake ness and releases them. five days later, he captures 75 fish and finds that 3 of them are tagged. assuming the population of fish has remained constant over the five days and that this sample is an accurate representation of the portion of the fish in the lake that are tagged, how many fish are in the lake?
Mr. Parker jogs for 45 minutes each day. He jogs 5 days in week 1, 6 days in week 2, and 7 days in week 3. About how many minutes does he jog?
Answer:
810 min
Step-by-step explanation:
5+6+7=18
18x45=810
There are 90 sixth graders at Wilson Middle School. Only 60% of the sixth graders will attend the morning assembly. How many sixth graders will be at the morning assembly?
A.44
B.54
C.64
D.74
Answer:
B, 54
Step-by-step explanation:
how do i go about finding x° and ycm, please?
I've tried Sine Rule & Cosine Rule... I thought i had done it correctly until i worked out the angles added up to much higher than 180° so it cannot be correct... can anyone help?
From the solution;
x = 62.62°
y = 8.9 cm
What is the sine rule?The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.
By the use of the sine rule;
a/Sin A = c/Sin C
Sin C = cSin A/a
C = Sin-1(cSin A/a)
C = Sin-1(7.8 * sin 66.4/9.2)
C = 50.98°
B = 180 - (50.98° + 66.4)
B = 62.62°
Then;
a/Sin A = b/Sin B
9.2/Sin66.4 = b/Sin 62.62
b = 9.2 * Sin 62.62/Sin66.4
b = 9.2 * 0.89/0.92
b = 8.9 cm
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What is the value of the expression below when x=6?
10x-3
Answer:
57
Step-by-step explanation:
10x - 3 = (10 x 6) - 3
= 60 - 3
= 57
Here's your answer :)
If b = -2, what is 3b-7 ?
Which models show the problem 4/6 : 2/6 = 2? Check all that apply :
Answer: 1st, 2nd, and 3rd option are correct :) ✨
Step-by-step explanation:
Answer:
A, B, C
Step-by-step explanation:
Divide using the division algorithm. Write your answer in the form Q+RD
where the degree of R is less than the degree of D.
\(\frac{y^{2}+4y-14 }{y-2}\)
The division algorithm is (y+6)(y-2) +(-2).
What is Division Algorithm ?When A and B are two expressions or numbers and Q and R are quotient and remainder respectively where r is always less than the divisor
The answer can be written in the form of
Q*D +R
The given expression is
\(\rm \dfrac{y^2 +4y-14}{y-2}\)
on dividing
Quotient Q = y+6
Remainder = -2
So it can be written as
(y+6)(y-2) +(-2)
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Are figures A and B congruent?
Figure A
Figure B
Yes or no
Answer: No
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
They don't have the same size.
13➗209 cuánto es? Gracias
Answer: 0.0622009569378
Step-by-step explanation:
what are two expressions equivalent to -4.33 - (3.11 - 1.11)
The two expressions that are equivalent to -4.33 - (3.11 - 1.11) are -4.33 - 3.11 + 1.11 and -4.33 - 2
How to determine the equivalent expressions?From the question, we have the following expression that can be used in our computation:
-4.33 - (3.11 - 1.11)
Start by removing the expressions in the bracket
So, we have
-4.33 - 3.11 + 1.11
The above is one of the equivalent expressions
Next, we evaluate a pair of terms in the above expression
So, we have
-4.33 - 2
The above is another of the equivalent expressions
Hence, the equivalent expressions are -4.33 - 3.11 + 1.11 and -4.33 - 2
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A spinner is shown below. What is the probability of spinning a dotted or solid section?
a. 2/3
b. 1/2
c. 1/4
d. 1/5
Answer:
b
Step-by-step explanation:
There are four solid and dotted sections and eight sections in total so the probability is 4/8 or 1/2
A certain spinner has equally sized slices. The adds in favor of landing on a green slice are 7:2. What is the probability of landing on A green slice
Given: The odds in favor of landing on a green slice are 7:2
To Determine: The probability of landing on A green slice
Find the total number of landing slices
Since the ratio given is 7:2. The total number of landing slices would be a multiple of the total ratio. The total ratio is
\(\text{Total ratio=7+2=9}\)Therefore, the total number of equal slices is a multiple of 9
Find the ration of the odds on green slice
The ration of the odds on green slice given that the ratio of the odds in favour of landing on a green slide is 7:2 would be multiples of 7
Find the probability of landing on A green slice
The probability of an event A from a sample space S is
\(\begin{gathered} P(A)=\frac{n(A)}{n(S)} \\ P(A)=\text{Probability of event A} \\ n(A)=\text{ number of element in event A} \\ n(S)=\text{ number of elements in the sample space} \end{gathered}\)The probability of landing on a green slice would be
\(\begin{gathered} P(G)=\frac{n(G)}{n(T_r)} \\ P(G)=\text{Probability of landing on a gre}en\text{ slice} \\ n(G)=\text{ number of multiples of the ration for a gr}een\text{ slice landing} \\ n(T_r)=\text{ number of multiples of the total ratio of the landings} \\ \text{Therefore:} \\ n(G)=7 \\ n(T_r)=9 \\ P(G)=\frac{7}{9} \end{gathered}\)Hence, the probability of landing on a green slice is 7/9
evaluate cos(sin^-1 x0)
Answer:
Pull terms out from under the radical, assuming positive real numbers.
0
Step-by-step explanation:
The General Sherma, the largest tree in the world, has a maximum diameter of 36.5 feet. What is the circumference of the tree?
Answer:
The General Sherman Tree is the world's largest tree, measured by volume. It stands 275 feet (83 m) tall and is over 36 feet (11 m) in diameter at the base. Sequoia trunks remain wide high up. Sixty feet above the base, the Sherman Tree is 17.5 feet (5.3 m) in diameter.
Step-by-step explanation:
A certain car depreciates at
a rate of 14% per year. If the
purchase price of the car is
$26,000, what will the value
of the car be in 6 years?
what is 5\sqrt(3ft *3\sqrt(12))
The solution of 5√3 × 3√12 = 30√3.
What is square root?Square root of a number is defined as the number in which the multiplication by itself gives the original number. That is the square root of 9 would be = 3 in which when multiplied by itself gives the original number being 9.
Other examples include √ 4 = 2, √ 25 = 5, √100 = 10.
To simplify the give expression;
5√3 × 3√12= 5√3 × 3√4×3
= 5√3 × 3×2√3
= 5√3 × 6 √3
= 30√3.
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You're studying different function tools and begin working with this function: y = -200 - 6(x) Use the equation to answer the question. y = -200 - 6(x) What is the y-value when x equals -12? y = -200 - 6(x) Enter the correct answer. DONE 00
Answer:
Y value is -128
Step-by-step explanation:
To find the y-value when x = -12, sub -12 for x in the equation.
y = -200 - 6(x)
y = -200 - 6(-12)
y = -200 + 72
y= -128
Which expression is equivalent to cos 150°?
three choices are:
A. cos 30°
B. cos 330°
C. cos (-30°)
D. cos (-210°)
We know
\(\boxed{\sf cos(180-\Theta)=-cos\Theta}\)
Now
\(\\ \sf{:}\!\!\implies cos150\)
\(\\ \sf{:}\!\!\implies cos(180-30)\)
\(\\ \sf{:}\!\!\implies -cos30\)
or
\(\\ \sf{:}\!\!\implies cos(-30°)\)
Option C
simplify pls do fast
The sum of the decimal values given is 0.93
Simplifying the decimal values can be done thus :
0.36 + 0.57Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .
0.36*100 = 36
0.57*100 = 57
Adding the whole numbers :
__36
+_57
_____
__93
Dividing the sum by 100 to convert to an equivalent decimal value,
93/100 = 0.93Therefore, the required value is 0.93
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Which function is decreasing on the same interval as the function graphed here?
f (x)
61
N
-2
O A.
O B.
O c.
O D
4
2
-2
10
-41
2
A.
★
k (2) = -2x2 – 82 + 5
भ
Ko
j (±) = 22 + 4 – 4
=
9 (‡) = 322
- 12x + 18
h (x) = 2x2 + 8x + 3
The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.
To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.
Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.
Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.
Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).
Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).
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Help me ASAP!!!!!!!!!!
The difference in height of the two checkpoints is 3487 feet.
What do you mean by above sea level?The term above mean sea level (AMSL) refers to the elevation (on the ground) or altitude (in the air) of any object, relative to the average sea level datum.
Given here: The table containing the altitude of different checkpoints in a race.
Height above mean sea level is a measure of the vertical distance (height, elevation or altitude) of a location in reference to a historic mean sea level taken as a vertical datum.
The altitude of checkpoint 1 is -164 and Checkpoint 2 as 3487
Thus Difference in the height of the two checkpoints is
3487-(-164)
3651 feet lower.
If the top of a hill rises 291 feet above checkpoint 1 we get
-164+291=127 feet
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church,
"From Martina's World"
Martina, a 3-year-old with flaming red hair and bright blue eyes, is admitted to the pediatric unit w
bronchitis. In addition to her medical condition, Martina has autistic disorder. Martina does not seem
nurse's presence in the room but is intensely occupied with a blue stuffed dog. The nurse is prepar
ister scheduled oral medications to the child. Martina's mother is present in the room.
What approach would help the nurse to establish a trusting relationship with Martina
To establish trust with Martina, the nurse should show respect, use non-verbal communication, incorporate play, involve the parent, and individualize the approach.
To establish a trusting relationship with Martina, the nurse can employ several approaches:
Respect and empathy: The nurse should approach Martina with genuine respect and empathy, recognizing her unique needs and individuality. This can be conveyed through a calm and patient demeanor.
Non-verbal communication: Since Martina may not be responsive to verbal cues, the nurse can utilize non-verbal communication to establish connection and trust. This can include maintaining eye contact, using gentle touch, and respecting Martina's personal space.
Play and familiar objects: Given Martina's engagement with the blue stuffed dog, the nurse can incorporate play into their interactions. Bringing familiar objects or toys that Martina finds comforting can help create a sense of familiarity and security.
Parental involvement: Involving Martina's mother in the care process can be beneficial. The nurse can communicate with the mother, seek her input, and involve her in the administration of medications. This helps build trust not only with Martina but also with her caregiver.
Individualized approach: Recognizing Martina's autistic disorder, the nurse should tailor their approach to her specific needs. Understanding her sensory sensitivities and preferences can help create a safe and comfortable environment.
By implementing these strategies, the nurse can foster trust and a positive therapeutic relationship with Martina, promoting her overall well-being and care.
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Complete Question:
What approach would help the nurse establish a trusting relationship with Martina, a 3-year-old with bronchitis and autistic disorder, who is intensely occupied with a blue stuffed dog and does not seem responsive to the nurse's presence in the room, while the mother is also present?
Among all rectangles that have a perimeter of 194 by the dimension of the one whose area is the largest write your answers as a fraction reduced to lowest terms
From the statement, we must find the dimensions of a rectangle with:
• perimeter P = 194,
,• the largest area.
We consider a rectangle with sides x and y. We will write formulas for P (the perimeter) and A (the area). Then we will express the area in terms of one side A(x), and maximize the function.
(1) The perimeter of the rectangle is:
\(P=2(x+y)\rightarrow y=\frac{P}{2}-x=\frac{194}{2}-x=97-x.\)(2) The area of the rectangle is:
\(A=x\cdot y=x\cdot(97-x)=-x^2+97x.\)(3) To maximize the area A(x), we compute and make equal to zero its first derivative, then we solve for x:
\(A^{\prime}(x)=-2x+97=0\Rightarrow2x=97\Rightarrow x=\frac{97}{2}.\)(4) From point (1), we find the length of the other side:
\(y=97-x=97-\frac{97}{2}=\frac{97}{2}.\)AnswerThe dimensions of the rectangle with a perimeter of 194 and the largest area are:
\(\frac{97}{2}\text{ and }\frac{97}{2}\)The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
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Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
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6 What types of decimal numbers are rational? What types are irrational?
7 Write down two more examples (decimal, fraction, etc.) of each type of number: rational and irrational. Explain your choices.
Use the parallelogram to find m
m
Using the parallelogram law to find m, the value of m is 50°.
What is the parallelogram law?The parallelogram law states that the sum of the squares for a parallelogram's four sides is equal to the sum of the squares for its two diagonals.
The parallelogram must have equal opposed sides in Euclidean geometry.
If ABCD is a parallelogram, then AB = DC and AD = BC, the parallelogram law is stated as:
2(AB)² + 2 (BC)² = (AC)² + (BD)²
If the parallelogram is a rectangle, the parallelogram law is stated as:
2(AB)² + 2 (BC)² = 2(AC)²
The value of the unknown angles in the parallelogram are as follows:
CED = 180 - (60 + 33 + 37)
CED = 50°
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Evaluate 5.48 x 2.45 (Answer to 2 decimal places). (a) 134.26 (b) 144.26 (c) 13.43 (d) 13.42 (e) 12.426
The final value is 13.43, which represents the product of 5.48 and 2.45.
We have,
The concept being demonstrated here is the multiplication of two decimal numbers.
When multiplying decimal numbers, we follow these steps:
- Ignore the decimal points and multiply the numbers as if they were whole numbers.
In this case, we multiply 548 by 245, which gives us 134,260.
- Determine the total number of decimal places in the original numbers.
In this case, the original numbers have a total of four decimal places (two decimal places each).
- Place the decimal point in the product so that it has the same number of decimal places as the total from step 2.
In this case, we need to place the decimal point two places from the right, giving us 1,342.60.
- Round the final result if necessary.
In this case, rounding to two decimal places gives us 1,342.60 rounded to 13.43.
Therefore,
The final value is 13.43, which represents the product of 5.48 and 2.45.
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an open box is made from a rectangular piece of material by cutting equal squares from each corner and turning up the sides.
The dimensions of the open box made from rectangular piece of material will depend on the dimensions of rectangular material.
If an open box is made from a rectangular piece of material by cutting equal squares from each corner and turning up the sides, then the dimensions of the box will depend on the size of the original rectangular piece of material and the size of the squares that are cut from the corners. The length and width of the box will be equal to the length and width of the original rectangular piece of material minus twice the size of the squares that are cut from the corners. The height of the box will be equal to the size of the squares that are cut from the corners.
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