Answers
Answer should be 8.4
hope it helps you ❣❣
Mark me as brainliestRelated Questions
Brown Squirrels can carry 2 acorns at a time. Gray Squirrels can carry 3 acorns at a time. Black Squirrels can carry 5 acorns at a time. Suppose the three squirrels all wanted to store acorns for the winter. Depending on how motivated each squirrel was they would end up with different amounts. For instance, suppose the Brown Squirrel took 4 trips, the Gray Squirrel took 2 trips and the Black Squirrel took 2 trips. The Brown Squirrel would end up with 8 acorns, the Gray Squirrel would have 6 acorns and the Black Squirrel would have 10 . Between them they took every one of the 24 acorns. How Many Ways "Show Them" can the squirrels get all 24 acorns. (One can get all of them, and the others get none
Answers
Answer:
There are five ways in which the squirrels can get all 24 acorns.
Step-by-step explanation:
The information provided is:
Brown Squirrels can carry 2 acorns at a time.Gray Squirrels can carry 3 acorns at a time. Black Squirrels can carry 5 acorns at a time. The three squirrels all wanted to store acorns for the winter. Between them they took every one of the 24 acorns.Each squirrel makes at least one trip.
Consider the table for the total number of trips the squirrels make get all 24 acorns:
Brown (2) Gray (3) Black (5) Total no. of acorns
1 4 2 (1 × 2) + (4 × 3) + (2 × 5) = 24
2 5 1 (2 × 2) + (5 × 3) + (1 × 5) = 24
3 1 3 (3 × 2) + (1 × 3) + (3 × 5) = 24
4 2 2 (4 × 2) + (2 × 3) + (2 × 5) = 24
5 3 1 (5 × 2) + (3 × 3) + (1 × 5) = 24
Thus, there are five ways in which the squirrels can get all 24 acorns.
Write the equation of the line that passes through the points (6,-1) and (−7,−8). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
y+1=7/13(x-6)
Step-by-step explanation:
the equation for point-slope form is y-y1=m(x-x1), where (x1,y1) is a point and m is the slope
first, we'll find the slope (m)
from two points, the slope is calculated as (y2-y1)/(x2-x1)
we're given (6,-1) and (-7,-8)
we can label the points
x1=6
y1=-1
x2=-7
y2=-8
now substitute into the formula
m=(-8--1)/(-7-6)
m=-7/-13
m=7/13
the slope (m) is 7/13
we already have labeled values for (x1,y1) which we made (6,-1)
substitute our known values into the equation
y--1=7/13(x-6)
simplify
y+1=7/13(x-6)
hope this helps!
What is the trigonometric ratio of Cosθ?.
Answers
When we have a right triangle, Cos = a / h, according to the cosine law. In this situation, the letter "a" stands for adjacent.
The hypotenuse, denoted by the letter "h," can be calculated using the Pythagorean Theorem. All you need to get cosine is the hypotenuse and the neighboring side.
The ratio of the length of the side next to the angle divided by the length of the triangle's hypotenuse is known as the cosine of an angle.
The triangle's sides, a, b, and c, are determined using the cosine formula, which is given as
c = [a2 + b2 - 2ab cos C]
According to the Cosine Rule in trigonometry, the square of the length of any side of a given triangle equals the sum of the squares of the other sides minus twice the product of the other two sides multiplied by the cosine of the angle that separates them.
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Find the measure of the missing angle.
32 a
Answers
Answer:
Soln,
32°+a=90°[right angled triangle]
or,a=90°-32°
or,a=58°
•°•a=58°
The measure of the missing angle is, a = 58 degree
Used the concept of complementary angle that states,
The sum of complementary angles is always equal to 90 degrees.
Given that,
There are two angles shown in the image.
From the given image,
Angle a and 32 are complementary angles.
Hence,
a + 32° = 90°
a = 90° -32°
Therefore, the missing angle is,
a = 58 degree
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Find the slope of the line containing the following points: (-3,5) (5, -3)
Answers
Answer:
-8/8 is the answer do to the formula
Step-by-step explanation:
y2 -y1
x2-x1
Use the slope intercept formula. -3-5/ 5-(-3) = -8/ 5+3 = -8/8 or -1. So m= (-1)
Write an expression for which subtracting 5 from an expression would isolate the variable
Answers
An expression for which subtracting 5 from an expression would isolate the variable is -9x + 5 = x + 2
What are algebraic expressions?Algebraic expressions are described as expressions that consists of coefficients, terms, variables, factors and constants.
These expressions are also known to consist of arithmetic operators, which includes;
Floor divisionDivisionExponentiationAdditionMultiplicationSubtraction, etcFrom the information given, we have to subtract five from an expression to isolate the variable
Now, let's us the algebraic expression;
-9x + 5 = x + 2
Let's subtract 5 from both sides of the equation, we get;
-9x + 5 - 5 = x + 2 - 5
add and subtract the like terms
-9x + x = -3
-8x = -3
x = 3/8
Hence, the expression is -9x + 5 = x + 2
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Which expressions are equivalent to g+h+(j+k) Check all that apply
Answers
Answer:
g+h+(j+k)
Step-by-step explanation:
(g+h)+j+k
(g+k)+j+h
(g+j)+h+k
(k+h)+j+h
(j+h)+g+k
Answer:
1 and 3
Step-by-step explanation:
dont mind me this needed to be longer wait still needs no be longer
Air enclosed in a sphere has density 1.2 kg/m3. What will the density be ifthe radius of the sphere is halved, compressing the air within?
Answers
Therefore, The density of air enclosed in a sphere with a radius halved will be 9.6 kg/m3. This is because the volume reduces by a factor of 8, resulting in an increase in density by a factor of 8.
When the radius of the sphere is halved, the volume of the sphere reduces by a factor of 8. Since the mass of the air enclosed remains constant, the density of the air within the sphere will increase by a factor of 8. Therefore, the density of the air within the sphere will be 9.6 kg/m3 after compression.
The density of the air enclosed within a sphere is given as 1.2 kg/m3. When the radius of the sphere is halved, the volume of the sphere reduces by a factor of 8 (since volume is proportional to the cube of radius). However, the mass of the air enclosed remains constant. Therefore, the density of the air within the sphere will increase by a factor of 8, resulting in a new density of 9.6 kg/m3.
Therefore, The density of air enclosed in a sphere with a radius halved will be 9.6 kg/m3. This is because the volume reduces by a factor of 8, resulting in an increase in density by a factor of 8.
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3 times the sum of x and 5
Answers
Answer:
3(x + 5)
Step-by-step explanation:
After four years of higher education, Julia just graduated with a Bachelor's degree in Engineering from USC where the annual cost of tuition was $22,000. She paid for college by earning $11,000 annually through the work study program and receiving an annual scholarship. She covered the remainder of the costs by taking out $12,000 in student loans. If she didn't fund her education with savings or grant money, what was the amount of Julia's annual academic scholarship?
Answers
Answer:
$32,000
Step-by-step explanation:
overall cost for 4 years was $88,000. She made $44,000 after 4 years. After all 4 years she had to take out $12,000 to pay. 88,000-44,000=44,000 44,000-12,000=32,000
Answer:
$8,000
Step-by-step explanation:
Tuition per year: $22,000
Work Study Earnings per year: $11,000
Student Loans per year: $12,000 / 4 = $3,000
Annual Academic Scholarship per year: $x
Per Year Calculations
$22,000 = $11,000 + $3,000 + $x
$x = $22,000 - $11,000 - $3,000
$x = $8,000
THIS 50 POINTS ANSWER FAST. Graph two lines whose solution is (1,4) give me the 2 of the equations. For the graphs go to Desmos. Answer fast.
Answers
Answer:
The graph is shown below.
Step-by-step explanation:
Help
Julie bought one hat and two T-shirts for $28. Raj bought two hats and one T-shirt for $32. What are the prices of one hat and one T-shirt?
Answers
Answer:
hat: $12
t-shirt: $8
Step-by-step explanation:
Let the price of 1 hat = h.
Let the price of 1 t-shirt = t.
Julie: h + 2t = 28
Raj: 2h + t = 32
We have a system of 2 equations in 2 variables.
h + 2t = 28
2h + t = 32
Let's use the substitution method to solve the system of equations.
Solve the first equation for h.
h = 28 - 2t
Substitute 28 - 2t for h in the second equation.
2(28 - 2t) + t = 32
56 - 4t + t = 32
56 - 3t = 32
-3t = -24
t = 8
h = 28 - 2t
h = 28 - 2(6)
h = 12
Answer:
hat: $12
t-shirt: $8
A boat starts off 34 miles directly west from the city of Uniontown. It travels due north at a speed of 41 miles per hour. After travelling 44 miles, how fast (in radians per hour) is the angle opposite the northward path changing?
Answers
Given:
Let x=34 miles
y=44 miles
\(\frac{dy}{dt}=41 miles/hr\)
To find:
\(\frac{d\theta}{dt}\)
Solution:
\(Hypotenuse=\sqrt{(base)^2+(Perpendicular\;side)^2}\)
Using the formula
\(Hypotenuse=\sqrt{(34)^2+(44)^2}=55.6 miles\)
\(sec\theta=\frac{Hypotenuse}{Base}\)
Using the formula
\(sec\theta=\frac{55.6}{34}\)
\(tan\theta=\frac{Perpendicular\;side}{Base}\)
Using the formula
\(tan\theta=\frac{y}{34}\)
Differentiate w.r.t t
\(sec^2\theta\frac{d\theta}{dt}=\frac{1}{34}\frac{dy}{dt}\)
Using the formula
\(\frac{d(tanx)}{dx}=sec^2 x\)
Substitute the values
\((\frac{55.6}{34})^2\times \frac{d\theta}{dt}==\frac{1}{34}\times 41\)
\(\frac{d\theta}{dt}=\frac{41\times (34)^2}{34\times (55.6)^2}\)
\(\frac{d\theta}{dt}=0.45 rad/hour\)
HELP image is provided
Answers
Answer:
yes
Step-by-step explanation:
angles z and b both have 2 congruent lines
angle y and a have one congruent line
and lines CA and XY have a congruent tick mark
in general, ______________ are more problematic than ________________ because they can produce spurious relationships.
Answers
In general, observational studies are more problematic than randomized controlled trials because they can produce spurious relationships.
Observational studies rely on the natural variation in exposures and outcomes that occur in the population, without any intervention or manipulation by the researcher.
This can lead to confounding variables, which are factors that are associated with both the exposure and the outcome and can produce a false association between them.
Randomized controlled trials, on the other hand, assign participants to different exposure groups at random, which reduces the risk of confounding and allows for a more accurate assessment of causality.
Therefore, researchers must be cautious when interpreting observational studies and consider the potential for spurious relationships.
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3. Find the first derivative for each of the following: A. y = 3x² 3x2 + 5x + 10 B.y = 100200x + 7x C. y = In (9x4)
Answers
A) First derivative for y = 3x² + 5x + 10 is dy/dx = 6x + 5; B) First derivative of for, y = 100200x + 7x is dy/dx = 100207 ; C) First derivative for y = In (9x4) is dy/dx = 4 / (3x).
A. y = 3x² + 5x + 10:
First derivative of the given equation, y = 3x² + 5x + 10 is as follows:
dy/dx = d/dx (3x²) + d/dx (5x) + d/dx (10)dy/dx
= 6x + 5
Since there are no exponents in 5x, the derivative of 5x is simply 5.
Similarly, since 10 is a constant, the derivative of 10 is zero.
B. y = 100200x + 7x:
First derivative of the given equation, y = 100200x + 7x is as follows:
dy/dx = d/dx (100200x) + d/dx (7x)dy/dx
= 100200 + 7
= 100207
C. y = In (9x4):
The given equation is, y = In (9x4).
The first derivative of this function can be obtained as follows:
dy/dx = 1 / (9x4) * d/dx (9x4)dy/dx
= 1 / (9x4) * 36x3dy/dx
= 4x3 / (3x4)dy/dx
= 4 / (3x)
Therefore, the first derivative of the given function y = In (9x4) is 4 / (3x).
A) First derivative forgiven equation, y = 3x² + 5x + 10 is dy/dx = 6x + 5; B) First derivative for given equation, y = 100200x + 7x is dy/dx = 100207 ; C) First derivative for given equation, y = In (9x4) is dy/dx = 4 / (3x).
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Help!
Crater Lake in Oregon in shaped like a circle with a diameter of about 5.5 miles. What is the area of the surface of crater lake?
Answers
Answer: 23.74625 miles
Joe has 4 less than 7 times as many shirts as Mark. Together, Joe and Mark have 140 shirts. How many shirts does Joe have? How many shirts docs Mark have?
Answers
Answer:
Mark has 18 shirts
Given that together they have 140 shirts.
x + 7x - 4 = 140
8x = 140 + 4
8x = 144
x = 144/8
x = 18
Joe has 122 shirts
7x - 4
7 × 18 - 4
126 - 4
= 122
HELPPPPPP A collection of points is shown on the complex plane. points on the complex plane, point z in quadrant 3, point P in quadrant 1, point Q in quadrant 4, point R in quadrant 3, point S in quadrant 2 Which point represents the conjugate of z?
Answers
The point that represents the conjugate of z is given as follows:
Point S.
How to define a complex number?A complex number is composed by a real part and an imaginary part, as follows:
z = a + bi.
In which:
a is the real part.b is the imaginary part.For the conjugate of a number, we keep the real part, while changing the imaginary part.
On the graph, we have that:
The x-axis is the real part.The y-axis is the imaginary part.Hence point S represents the conjugate of z.
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An automobile dealer finds that the total monthly revenue from the sale of x automobiles of a certain model is Rx= 10,000x³/²/2+√x
Find the marginal revenue MR(x)=R′(x)
Find MR(9).
Answers
1. Total revenue formula: Rx = 10,000x^(3/2)/(2+√x). 2. Marginal revenue formula: MR(x) = R′(x). 3. MR(9) calculation.
To find the marginal revenue (MR) and evaluate MR(9), we first need to understand the total revenue formula and how to calculate the derivative of this formula.
1. Total revenue formula (Rx):
The total monthly revenue from the sale of x automobiles of a certain model is given by:
Rx = 10,000x^(3/2)/(2+√x)
2. Marginal revenue formula (MR):
The marginal revenue (MR) is calculated by taking the derivative of the total revenue formula, Rx.
3. MR(9) calculation:
To find MR(9), we substitute x = 9 into the derivative formula of Rx.
Now, let's calculate the MR(9) step by step:
Step 1: Find the derivative of Rx:
To find the derivative, we need to apply the power rule and chain rule.
The derivative of Rx with respect to x is given by:
R′(x) = (d/dx) [10,000x^(3/2)/(2+√x)]
Step 2: Simplify the derivative:
To simplify the derivative, we can use the quotient rule and the power rule.
R′(x) = [10,000 * ((2+√x) * (3/2) * x^(1/2)) - (10,000 * x^(3/2) * (1/2) * (√x))] / (2+√x)^2
Simplifying further:
R′(x) = [15,000x^(3/2) + 5,000x - 10,000x^(3/2)√x] / (2+√x)^2
Step 3: Calculate MR(9):
Substitute x = 9 into the derivative formula.
MR(9) = [15,000(9)^(3/2) + 5,000(9) - 10,000(9)^(3/2)√9] / (2+√9)^2
Simplifying:
MR(9) = [15,000(27) + 5,000(9) - 10,000(27)√9] / (2+3)^2
MR(9) = [405,000 + 45,000 - 270,000] / 25
MR(9) = 180,000 / 25
MR(9) = 7200
Therefore, MR(9) = 7200.
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during an election, a group of 4 council members must be selected from a group of 18 people running for these positions. how many such selections are possible?
Answers
The possible number of ways of selection by using combination formula is 3060.
What is combination?
A grouping of items where the order in which they were chosen is irrelevant is known as combination.
Given that the number of people in the group is 18. Only 4 people will be member of the council.
The formula of combination is \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\) , where r number of objects are selected from n objects.
In the given question the value of n is 18 and the value of r is 2.
Substitute the value of n and r in \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\).
\(^{18}C_{4}=\frac{18!}{4!(18-4)!}\)
Solve the above expression:
18^C_4 = 18x17x16x15x14/4x14
18^C_4 = 18x17x16x15/4x3x2x1
3060 18^C_4 = 3060
The number of ways such selection is 3060.
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What is an equation that represents a non proportional relationship???
I really need help(I know nothing about proportional and non proportional equations)
Answers
y=mx+b
Una torre de 28.2 m de altura esta situada a la orilla de un rio, desde lo alto del edificio el ángulo de depresión a la orilla opuesta es de 25.2°. Calcular el ancho del río
Answers
Answer:
El ancho del río es 59.9 metros.
Step-by-step explanation:
El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:
\(tan(\theta) = \frac{CO}{CA}\)
En donde:
CA: es el cateto adyacente = Altura de la torre = 28.2 m
CO: es el cateto opuesto = ancho del río =?
θ: es el ángulo adyacente a CA
Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:
\(\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}\)
Ahora, el ancho del río es:
\(CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m\)
Por lo tanto, el ancho del río es 59.9 metros.
Espero que te sea de utilidad!
help pls !
i’ll mark brainliest to whoever answers it right first.
thanks !
Answers
step-by-step explanation: 1/2 (a+b) x h is area of trapezoid. So that would be 40
then area of circle is pi x radius squared. So that is 50.24 roughly.
so 50+40=90
and yeah
hope this helped :))
Please answer area of this triangle
Answers
Answer:
\(A=2\text{ units}^2\)
Step-by-step explanation:
The area for a triangle is given by:
\(A=\frac{1}{2}bh\)
Where b is the base length and h is the height.
The base is 2 and height is also 2. Therefore:
\(A=\frac{1}{2}(2)(2)\)
Simplify:
\(A=\frac{1}{2}(4)\)
Multiply:
\(A=2\text{ units}^2\)
What is the solution to the rational inequality?
3−x/2x+1 ≥2
Answers
Answer:
\((-\frac{1}{2},\frac{1}{5} )\), aka Option D is correct.
Hope this helps!
Answer:
Step-by-step explanation:
the answer for this is
(-1/2, 1/5] <---
remember that it is a bracket at the end not a parenthese
the answer is B
What are the values of x in the equation x2 – 6x + 9 = 25? a. x = –2 or x = 8b. x = –1 or x = –11c. x = 1 or x = 11 d. x = 2 or x = –8
Answers
Answer:
a
Step-by-step explanation:
x² - 6x + 9 = 25 ( subtract 25 from both sides )
x² - 6x - 16 = 0 ← in standard form
(x + 2)(x - 8) = 0 ← in factored form
equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 8 = 0 ⇒ x = 8
Determine the volume of the CD box shown
7.5 in
6.25 in.
8 in
Answers
Answer:
Step-by-step explanation:
I hope this helps you
Rectangular Prism Volume is
Height. Width. Height
(6.25).(7.5).(8)
375
Length x width x height
Find 6(-7).
a 42
b -1
c -42
d 13
Answers
Answer:
c. -42
Step-by-step explanation:
6(-7) means 6×(-7)
so the answer is c
I also need this quickly :(
Answers
Answer:
Scale factor = 1/2
Step-by-step explanation:
Explanation:
A scale factor is a number you multiply the dimensions of a shape by to get the image. Because figure B has half the length and width, we can conclude the scale factor is 1/2.