Answer:
C. $16.60
Step-by-step explanation:
Let the cost per pound of salmon be represented by x
The cost per pound of swordfish be represented by y
Melissa buys 2 1/2 pounds of salmon and 1 1/4 pounds of swordfish. She pays a total of $31.25
2.5 × x + 1.25× y = $31.25
2.5x + 1.25y = 31.25
The swordfish costs $0.20 per pound less than the salmon.
y = x - 0.20
Hence, we substitute
2.5x + 1.25y = 31.25
2.5y + 1.25(x - 0.20) = 31.25
2.5y + 1.25x - 0.25 = 31.25
2.5x + 1.25x = 31.25 + 0.25
3.75x = 31.5
x = 31.5/3.75
x = $8.4
The cost per pound of salmon be represented by x = $8.4
y = x - 0.20
y = 8.4 - 0.20
y = $8.2
The cost per pound of swordfish be represented by y = $8.2
The cost of a pound of salmon and sword fish
= $8.4 + $8.2
=$16.60
Pleaseeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
The rate at which Mr. Story's Twitch subscribers increased per year after 2020 is
modeled by the exponential function f(x) = 100(1.25). If x is the number of years
after 2020, approximately how many subscribers will Mr. Story have in 2030?
Answer:
A lot
Step-by-step explanation:
The perimeter of a rectangular lawn i 50 meter. It' 16 meter long how wide i it?
The width of the rectangle is 9 meter.
Now, According to the question:
The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.
Now, Solving the problem:
Perimeter of rectangle is 50 meter sq.
Length of the rectangle(L) is 16 meter.
We have to find the width (W) of the rectangle.
We know that,
Perimeter of rectangle is = 2 (L + W)
50 = 2(16 + W)
50 = 32 + 2W
2W = 50 - 32
2W = 18
W = 18/2
W = 9
Hence, The width of the rectangle is 9 meter.
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Find the derivative, if it exists, of the function at the specified point.() = ^2 − 4 + 3 at = 1
Find the derivate of the expression using the general procedure to find the derivative of a polynomial function. To do it, multiply the term times the exponent of the variable and raise the variable to the original exponent minus 1:
\(\begin{gathered} f(x)=x^2-4x+3 \\ f^{\prime}(x)=2x^{2-1}-4x^{1-1}-0\cdot3 \\ f^{\prime}(x)=2x-4 \end{gathered}\)Now that we have the expression for the derivative of the function, evaluate it at the value of x that is in the question statement, which is 1:
\(f^{\prime}(1)=2(1)-4=2-4=-2\)The derivative of the function is -2 at x=1.
3 1/8 - b = 1 3/4
how do I figure out what b is?
Write the equation of the line fully simplified slope-intercept form.
Answer:
y = 3/2x + 5
Step-by-step explanation:
y = Rise/Run + y intercept
Answer:
how am i supposed to know this
Step-by-step explanation:
loser
10. Find the solution set for the following
y=x²-3x-4
y-x=-4
Answer:
I have no idea tbh I need help with this too
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!
Calculate the cross product assuming that u×v=⟨7,6,0⟩.(u−7v)×(u+7v)
The cross product assuming that u×v=⟨7,6,0⟩.(u−7v)×(u+7v) is ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩.
The cross product of two vectors using the distributive property:
(u - 7v) × (u + 7v) = u × u + u × 7v - 7v × u - 7v × 7v
Also, cross product is anti-commutative. Specifically, the cross product of v × w is equal to the negative of the cross product of w × v. So, we can simplify the expression as follows:
(u - 7v) × (u + 7v) = u × 7v - 7v × u - 7(u × 7v)
Now, using u × v = ⟨7, 6, 0⟩ to evaluate the cross products:
u × 7v = 7(u × v) = 7⟨7, 6, 0⟩ = ⟨49, 42, 0⟩
7v × u = -u × 7v = -⟨7, 6, 0⟩ = ⟨-7, -6, 0⟩
Substituting these values into the expression:
(u - 7v) × (u + 7v) = ⟨0, 7u_2 - 6u_3, 7u_3 - 6u_2⟩ - 7⟨7, 6, 0⟩ - 7⟨-7, -6, 0⟩
= ⟨0, 7u_2 - 6u_3, 7u_3 - 6u_2⟩ - ⟨49, 42, 0⟩ + ⟨49, 42, 0⟩
= ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩
Therefore, (u - 7v) × (u + 7v) = ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩.
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Tienes 12 personas Todas pesan exactamente lo mismo Menos 1 persona que pesa un poco más o un poco menos Dispones de una balanza y puedes pesar 3 veces Quien es el que pesa distinto
Answer:
El que pesa distinto es aquel que causa un desnivel en la balanza.
Step-by-step explanation:
Sabemos que una balanza tiene dos lados en los cuales podemos poner peso, si la balanza está equilibrada, ambos lados están a la misma altura, de lo contrario, habrá un desnivel entre ambos lados.
Puesto que solo podemos emplear la balanza 3 veces, debemos crear tres grupos de cuatro personas, que dentro de cada una cada mitad, conformada por dos personas, es colocada en un lado de la balanza. Si la balanza está equilibrada, entonces todo ese grupo está integrado por personas del mismo peso, pero si esta desequilibrada, una persona de alguno de los dos subgrupos.
En ese caso, se procede a sacar a dos personas, una por cada lado de la balanza, si el desbalance desaparece, entonces alguna de las dos personas que salió tiene un peso distinto, pero si el desbalance persiste, entonces es causante del desbalance se encuentra en aún en la balanza.
En conclusión, el que pesa distinto es aquel que causa un desnivel en la balanza.
What 2 numbers that multiply to make 7 and add to 6
Answer:1 and 6
Step-by-step explanation:1 x 6 = 6
1 + (6) = 7
Are you asking because you are trying to figure out how to factor the following quadratic equation?
x2 + 7x + 6 = 0
If so, the solution to factor the quadratic equation above is:
(X + 1 ) (X + 6)
To summarize, since 1 and 6 multiply to 6 and add up 7, you know that the following is true:
x2 + 7x + 6 = (X + 1 ) (X + 6)
Mary is also a civil engineer, and she is building a triangular community garden. She knows two angles in the triangular garden, diagramed below. A triangle has angle measures 92 degrees, 27 degrees, and a degrees. The exterior angle to a degrees is b degrees. What are the measures of interior angle a and exterior angle b? a = ° b = °
Answer:
A= 61
B=119
Step by step:
a; interior angle
180-(27+92)
=180(119)
=61
b; exterior angle
180-61
=119
Answer: 61 and 119
Step-by-step explanation:
How many pounds of flour is required to make
7 cakes if 1 cake takes 1 ½ lbs
Answer:
10 1/2 pounds are needed.
Step-by-step explanation:
7 x 1.5 = 10.5
the cube with 2.00 m wide and 2.00 m long and 2.00 m high has a weight of 900.00 n. what pressure does it exert?
If the cube with 2.00 m wide and 2.00 m long and 2.00 m high has a weight of 900.00 n, then the cube exerts a pressure of 225 N/m².
To calculate the pressure exerted by the cube, follow these steps:
Step 1: To calculate the pressure exerted by the cube, you need to consider its weight and the area over which it is exerting the force. The cube has a weight of 900 N and dimensions of 2.00 m x 2.00 m x 2.00 m.
Step 2: To find the pressure, we will use the formula:
Pressure (P) = Force (F) / Area (A)
Step 3: In this case, the force is the weight of the cube (900 N), and the area is the base of the cube (2.00 m x 2.00 m).
A = 2.00 m * 2.00 m = 4.00 m²
Step 4: Now, you can calculate the pressure:
P = 900 N / 4.00 m² = 225 N/m²
So, the cube exerts a pressure of 225 N/m².
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1. (1 point)
Determine the measure of 0 to the nearest degree.
a. 40°
b. 38°
C. 36°
d. 42°
Which transformations will alter the location of the vertex?
(check all that apply)
-Reflection
-Stetch/compression
-Transltion left/right
-Translation up/down
Answer:
reflection
transition left / right are the location of the vertex
A right triangle has legs of 21 inches and 28 inches
whose sides are changing. The short leg is decreasing by 2
in/sec and the long leg is shrinking at 5 in/sec. What is the
rate of change of the area?
The rate of change of the area is -80.5 \(inches^{2}\)/sec.
Given:
A right triangle has legs of 21 inches and 28 inches whose sides are changing.The short leg is decreasing by 2 in/sec and the long leg is shrinking at 5 in/sec.
Let's set the two legs as a and b, so the lengths are:
a = 21 - 2t
b = 28 - 5t
The area is:
area a = ab /2
= (21 - 2t) (28 - 5t)/2
= (588 - 105t - 56t + 10\(t^{2}\)/2
a = 5\(t^{2}\) - 161t/2 - 299
The rate of change of the area is:
da/dt = d(5\(t^{2}\) - 161t/2 - 299)/dt
da/dt = 10t -161/2
And at t=0,
= 10(0) - 161/2
= - 80.5
so the rate of change of the area is -80.5 \(inches^{2}\)/sec.
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1 pts
Find the value of x
30x
2
29x + 4
Pls answer ASAP
Answer:
x = 4
Step-by-step explanation:
30x = 29x + 4
subtract 29x from both sides
x = 4
Cross-sectional design involves the systematic collection of responses to a consumer survey instrument from one or more samples of respondents at one point in time. Group of answer choices True False
The correct answer to the given question is "True."
Cross-sectional design involves the systematic collection of responses to a consumer survey instrument from one or more samples of respondents at one point in time. The main purpose of the cross-sectional design is to gather information about a population at a specific time or period. Cross-sectional research is frequently used in psychology, epidemiology, marketing research, and other fields. The word "systematic" is used in the question, which implies a methodical or orderly procedure. Cross-sectional design gathers information through a systematic and organized method. Therefore, it is true that cross-sectional design involves the systematic collection of responses to a consumer survey instrument from one or more samples of respondents at one point in time.
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The diagram shows a sector of a circle, radius 45 cm, with angle 84º.
45 cm
840
Diagram NOT
accurately drawn
Calculate the area of the sector.
Give your answer correct to 3 significant figures.
Answer:
area of sector=84°/360°×π×45²=1485cm²
The area of the sector to 3 significant figure is 1480cm²
Area of a sector.The formula for calculating the area of a sector is expressed as
A= r²β/2
where;
r is the radius. = 45cm
β is the central angle =84 degrees
Substitute
A = (45)²(84π)/360
A = 1483.65cm²
Hence the area of the sector to 3 significant figure is 1480cm²
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16+4(q+11)+10q simplify
Answer:
Dogodgo
Step-by-step explanation:
Find the surface Area of the rectangular prism. 7mi, 4 mi, and 2 mi
Answer:
I believe the answer is 100miStep-by-step explanation:
=_=
i was really not understanding this question....pls need the ans!!
i will mark you brianlist...
Answer:
x = 135 degrees
y = 45 degrees
Step-by-step explanation:
angle F = 90 = E degrees
triangle EBF is isosceles so the angles at the base would be 180-90 = 90/2
which would equal 45.
Hence, y would equal 45.
45 + x = 180 (supplementary)
x = 135
I NEED AN ANSWER ASAP PLEASE
Step-by-step explanation:
the correct answer is option a 6a-7
The table represents the function f(x).
4
0
1
f(x) -4 -3
-
x
If gtx)= 4√ 8, which statement is true?
OA. The y-intercept of g(x) is less than the y-intercept of f(x).
OB. The y-intercept of g(x) is equal to the y-intercept of f(x).
OC. The x-intercept of g(x) is equal to the x-intercept of f(x).
OD. The x-intercept of gtx) is greater than the x-intercept of f(x).
42
96
-1
16
Answer:I don’t Knowt Try To Answer it yourself
Step-by-step explanation:
What is the equation of the following line? Be sure to scroll down first to see
all answer options,
(0,0) (7,2)
boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes. how long will it take for both mowing at the same time to mow the lawn?
The time taken by both to mow the lawn is 36 minutes.
This is a question of time and work.
It is given that:-
Time taken by boy to mow the loan = 90 minutes.
Time taken by girl to mow the loan = 60 minutes.
We have to find the time taken by both of them together to mow the lawn.
LCM(60,90) = 180
Let the total work to be done to mow the lawn be 180 units.
Hence,
Efficiency of boy = 180/90 = 2 units
Efficiency of girl = 180/60 = 3 units
Total efficiency = 2 + 3 = 5 units.
Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.
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Problem 1 A car has an initial speed of vo= 25m/s to the east and a constant acceleration of a = 3m/s² when a water drop begins to fall from rest. After dropping a distance of h= 10m, the water drop strikes the hood of the car. Aerodynamic drag is not considered here. (1) Determine the speed of the drop and the speed of the car when the strike occurs. [16 pt.] (2) Determine the velocity and acceleration the drop appears to have with respect to a passenger in the car (direction and magnitude). [16 pt.]
The speed of the water drop when it strikes the hood is approximately 14.0 m/s downward, and the speed of the car at that moment is approximately 29.3 m/s to the east.
The drop appears to have a velocity of approximately 29.3 m/s to the west and 14.0 m/s downward with respect to the passenger in the car.
The drop appears to have an acceleration of approximately 3 m/s² to the west and 9.8 m/s² downward with respect to the passenger in the car.
Determining speed and velocity(To determine the speed of the water drop and the speed of the car when the drop strikes the hood,
use the kinematic equations of motion.
First, we can find the time it takes for the drop to fall 10m using the kinematic equation:
distance h = 10m,
\(h = 1/2 at^2\)
where
h is the vertical distance,
a is the acceleration due to gravity (9.8m/s²), and t is the time.
Substituting the values, we have;
\(10 = 1/2 (9.8) t^2 \\
t^2 = 20/9.8 \\
t ≈ 1.43 seconds\)
Next, find the final velocity of the drop using the kinematic equation:
\(v = vo + at\)
where v is the final velocity,
vo is the initial velocity (which is 0m/s for the drop),
a is the acceleration due to gravity, and
t is the time we just calculated.
Substituting the values, we have
v = 0 + (9.8)(1.43)
v ≈ 14.0 m/s downward
Finally, find the speed of the car when the drop strikes the hood using the kinematic equation:
\(v = vo + at\)
v = 25 + (3)(1.43)
v ≈ 29.3 m/s to the east
Therefore, the speed of the water drop when it strikes the hood is approximately 14.0 m/s downward, and the speed of the car at that moment is approximately 29.3 m/s to the east.
To determine the velocity and acceleration
The velocity of the water drop with respect to the passenger in the car is simply the vector difference between the velocity of the water drop and the velocity of the car:
v_drop,p = v_drop - v_car
where v_drop is the velocity of the water drop (14.0 m/s downward) and
v_car is the velocity of the car (29.3 m/s to the east).
Substituting the values, we get:
v_drop,p = (0, -14.0, 0) - (29.3, 0, 0)
v_drop,p = (-29.3, -14.0, 0) m/s
Thus, the drop appears to have a velocity of approximately 29.3 m/s to the west and 14.0 m/s downward with respect to the passenger in the car.
The acceleration of the water drop with respect to the passenger in the car is simply the vector difference between the acceleration of the water drop and the acceleration of the car:
a_drop,p = a_drop - a_car
where a_drop is the acceleration due to gravity (9.8 m/s² downward) and
a_car is the acceleration of the car (3 m/s² to the east).
Substituting the values, we have,
a_drop,p = (0, -9.8, 0) - (3, 0, 0)
a_drop,p = (-3, -9.8, 0) m/s²
Therefore, the drop appears to have an acceleration of approximately 3 m/s² to the west and 9.8 m/s² downward with respect to the passenger in the car.
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3/4 x 8 = ?
I need help for this question.
Answer:
6 hope this was fast
Answer:
6
Step-by-step explanation:
\(\frac{3}{4}\) x 8 =
\(\frac{3}{4}\) × \(\frac{8}{1}\) = \(\frac{24}{4}\)
\(\frac{24}{4}\) = 6
find the volume of the region contained in the cylinder x 2 y 2 = 9, bounded above by the plane z = x and below by the xy-plane.
the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.
Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.
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A landscape architect plans to enclose a 4000 square-foot rectangular region in a botanical garden. She will use shrubs costing $20 per foot along three sides and fencing costing $25 per foot along the fourth side. Find the dimensions that minimize the total cost. What is the minimum cost? Show all work. Round solutions to 4 decimal places
The landscape architect should use a length of approximately 80 ft and a width of approximately 50 ft to minimize the cost, resulting in a minimum cost of approximately $9000.
Let the length of the rectangular region be L and the width be W. The total cost, C, is given by C = 3(20L) + 25W, where the first term represents the cost of shrubs along three sides and the second term represents the cost of fencing along the fourth side.
The area constraint is LW = 4000. We can solve this equation for L: L = 4000/W.
Substituting this into the cost equation, we get C = 3(20(4000/W)) + 25W.
To find the dimensions that minimize cost, we differentiate C with respect to W, set the derivative equal to zero, and solve for W. Differentiating and solving yields W ≈ 49.9796 ft.
Substituting this value back into the area constraint, we find L ≈ 80.008 ft.
Thus, the dimensions that minimize cost are approximately L = 80 ft and W = 50 ft.
Substituting these values into the cost equation, we find the minimum cost to be C ≈ $9000.
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