Answer:
The speed of the salmon in still water is 6 mi/h
Step-by-step explanation:
When an object moves with a speed So (So measured in still water) in a river with speed Sr:
If the object moves along the current (downstream), then the actual speed of the object will be:
S = So + Sr
If the object moves upstream, then the velocity will be:
S = So - Sr
In this case we know the speed of the river downstream is 2 mi/h
Sr = 2mi/h
And we know that the salmon can swim 12 miles upstream in the same time (T) that it can swim 24 miles downstream.
Here you need to remember the relation:
Distance = Time*Speed.
Then we know that:
24 mi = (So + 2mi/h)*T
12 mi = (So - 2mi/h)*T
Now we can take the quotient of these two equations to get:
(24mi/12mi) = ( (So + 2mi/h)*T)/((So - 2mi/h)*T)
2 = (So + 2mi/h)/(So - 2mi/h)
Let's multiply both sides by the denominator of the right part:
2*(So - 2mi/h) = (So + 2mi/h)
2*So - 4mi/h = So + 2mi/h
Now we need to isolate So, the speed of the salmon in still water:
2*So - So = 2mi/h + 4mi/h
So = 6mi/h
The speed of the salmon in still water is 6 mi/h
Please help i'll give brainliest
For a television commercial 20 cars will be parked bumper to bumper to form a line. Which of the following would be the approximate length of the line of cars?
1/2 mile
1/8 mile
800 feet
300 feet
Answer:
300'
Step-by-step explanation:
Answer:
1/8 mile
Step-by-step explanation:
Because if you do the math the avarge car is 4.7 feet multiply that by 20 and there is your answer
The population of a city is 40,000 and the annual growth rate is 1.6%. Write an equation to model the population y after x years.
Y=40,000(1.016)^x
Explanation:
years= x
Predicted population= y
Initial population= 40000
you can find the population y after x years with the help of this function
For example:
If we want to know the population after 5 years, put x=5 and find y
Y after 5 years= 40000(1.016)^5
=43304
Find the measure of the angle indicated. Assume that lines which appear tangent are tangent.
will give 20 points :)
Answer:
D. 69°
Step-by-step explanation:
I think you divide 222° by 2, which equals 111, then subtract that from 180°, which equals 69°.
Question
What is the net signed area between f(x) = 2x + 3 and the x-axis over the interval (-4,2]? Do not include any units in
your answer
Provide your answer below:
Answer:
Step-by-step explanation:
2 units squared.
Explanation:
You can go about this in two ways: Algebra and Integrals.
Algebra
y = 2x-6 is linear, thus if we take the value over the x interval [2,4] we can use geometry to calculate the area.
graph{2x-6 [-2.27, 7.73, -2.18, 2.82]}
You can see two triangles in the graph (you could also find this algebraically). Thus, you can calculate the area.
=
2
⋅
(
1
2
⋅
b
⋅
h
)
=
2
⋅
(
1
2
⋅
1
⋅
2
)
=
2
square units
Integrals
An integral gives the area under the curve. Remember though that if a function goes below the X axis, the integral is negative Thus you have to do two separate integrals based on the X intercept.
finding the X intercept (that is where y = 0)
2
x
−
6
=
0
x
=
3
when
y
=
0
When
x
<
3
, then y is negative. Thus, we have to find the negative integral from 2 to 3 and the positive integral from 3 to 4
=
−
∫
3
2
2
x
−
6
d
x
+
∫
4
3
2
x
−
6
d
x
=
−
[
x
2
−
6
x
]
3
2
+
[
x
2
−
6
x
]
4
3
=
−
[
9
−
18
−
4
+
12
]
+
[
16
−
24
−
9
+
18
]
=
−
[
−
1
]
+
[
1
]
=
2
units squared. And Tada, that is the same as the other answer!
Using integrals, it is found that the area of the function is of 6 squared units.
The area of a function f(x) over an interval [a,b] is given by:
[tex]A = \int_{a}^{b} f(x) dx[/tex]
In this problem:
Interval (-4, 2), thus [tex]a = -4, b = 2[/tex].Function [tex]f(x) = 2x + 3[/tex], thus:[tex]A = \int_{-4}^{2} 2x + 3 dx[/tex]
[tex]A = x^2 + 3x|_{x = -4}^{x = 2}[/tex]
[tex]A = 2^2 + 3(2) - [(-4)^2 + 3(-4)][/tex]
[tex]A = 4 + 6 - 4[/tex]
[tex]A = 6[/tex]
The area is of 6 squared units.
A similar problem is given at https://brainly.com/question/20733870
The second angle of a triangle is twice as large as the first. The measure of
the third angle is 20 degrees greater than the first. How large are the angles?
Which number is equivalent to (6^2)^0
Answer:
B
Step-by-step explanation:
Anything to the 0 power is 1
3. Solve - 3/5t = 15
O t = 25
O t = -25
O t = 15
O t = -15
PLEASE HURRY ILL GIVE 10 POINTS AND BRAINLYEST
Answer:
t= - 15
Step-by-step explanation:
(-3/5)t = 15
Multiply both sides by 5:
-3t=75
Divid both sides by -3:
t=-15
Could someone verify this answer if you don’t know the answer don’t say anything I don’t want to download the answer if you can’t tell me don’t say anything the question says find the area of the compound figure
Answer:
288
Step-by-step explanation:
8 x 3 x 3 x 6 = 288
Sales Fadil sells televisions. He earns a fixed amount for each television and an additional $25 if
the buyer gets an extended warranty. If Fadil sells 17 televisions with extended warranties, he
earns $1,785. How much is the fixed amount Fadil earns for each television?
Answer:
$80
Step-by-step explanation:
Evaluate tan(sin-1(-5/13)). Enter your answer as a fraction using the slash bar.
I will mark brainliest! Thank you!!
a square on a coordinate plane has vertices at (4,-5) and (4,2). what is the perimeter of the square?
Answer:
28
Step-by-step explanation:
2-(-5)=7--one side
square (all sides are the same)
4 sides in total
7x4=28
If the volume of a solid cone is 440cm3 and
its perpendicular height is 14cm. Determine
its base diameter to the nearest whole
number
O a. 5.5cm
b. 12cm
С. 6cm
d. 11cm
Answer:
11
Step-by-step explanation:
1/3 nr^2h = volume of a cone
1/3 x 22/7 x 14 x r^2 = 440
r^2 = 440 x 3 x 7/22 x 1/14
r^2 = 30
r = 30
r = 5
The base diameter to the nearest whole number is 11cm
The volume of a coneThe formula for calculating the volume of a cone is expressed as:
V =1/3πr²h
Given the folllowing parameters
V = 440cm^3
h = 14cm
Substitute the given parameters
440 = 1/3(22/7) * 14r²
440 = 44/3 * r²
10 = r²/3
r² = 30
r = 5.5cm
d = 11cm
Hence the base diameter to the nearest whole number is 11cm
LEarn more on volume of cone here; https://brainly.com/question/1082469
hi can you please help me with my work
find the side lengths ! help pls
(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:
180 - (70 + 70) = 180 - 140 = 40
40° is your answer.
m∠X = 40°
(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:
180/3 = 60
60° is your answer.
m∠V = 60°
~
5. The Neutrality Acts allowed the U.S. to loan money to other countries at
War.
A. True
B.False
A gas can holds 10 liters of gas. How many cans could we fill with 35 liters of gas?cans
Answer:
7/10
Step-by-step explanation:
We need to divide the 7 liters by the 10 liters that each can holds.
A box plot is shown below:
A box and whisker plot is shown using a number line from 20 to 45 with primary markings and labels at 20, 25, 30, 35, 40, 45. In between two primary markings are 4 secondary markings. The box extends from 25 to 39 on the number line. A line in the box is at 33. The whiskers end at 20 and 44. The title of the art is Visitors at the Exhibition, and below the line is written Number of Visitors.
What is the median and Q3 of the data set represented on the plot?
Median = 30; Q3 = 44
Median = 36; Q3 = 44
Median = 30; Q3 = 39
Median = 36; Q3 = 39
Answer:
c
Step-by-step explanation:
Which function represents the exponential function f(x) = 3x after a vertical stretch by a factor of 8 and a reflection across the x-axis?
A. g(x) = 3−8x
B. g(x) = −38x
C. g(x) = 8 • 3−x
D. g(x) = −8 • 3x
Help me please .......no link What is the slope of the line given by the equation below?
y = 12x - 23
The perimeter of a triangle is 61 in. The shortest side is 8 in. less than the longest side. The middle side is 19 in. less than the combined lengths of the shortest and longest sides. Find the lengths of the three sides.
Answer:
since the lengths are consecutive odd numbers and the perimeter of the triangle is 51cms. Let x be the unknown length.
so 3x=51 ; x=17 . now the sides can be 15cms, 17cms, 19cms.
check Add them up it is 51cms which is the perimeter and the consecutive odd numbers
Solve for x and y: x= 5 – 2y 4y = 15 - 2x 0 x = 5, y = 0
Answer:
i think there is no solution
how do you solve
7x - 4y = 10 ?
just seeing how to sole this equation
Answer:
this is a simultanious equation and u need one more equation to do it
Step-by-step explanation:
there are many answers if u dont have the second equation.
You can just substitute a number in x then find y
eg.
x= 12/7 , y =0.5
Answer:
1. 7 x - 4 y = 10. 7x−4y=10. Add 4y to both sides. Add 4y to both sides.
2. 7x=10+4y. 7x=10+4y. The equation is in standard form. The equation is in standard form.
3. 7x=4y+10. 7x=4y+10. Divide both sides by 7. Divide both sides by 7.
4. \frac{7x}{7}=\frac{4y+10}{7} 77x=74y+10 Dividing by 7 undoes the multiplication by 7.
A portfolio is efficient if which of the following is true?
Answer:
In economics, a portfolio is a term for a specific set of stocks, bonds, shares, and other securities owned by an investor. In general, the investor seeks to compile and diversify a portfolio of securities that offers maximum profitability and at the same time is diverse, in order to minimize possible risks. In general, these types of portfolios are considered efficient, as they do not leave the investment risk tied to a single factor. However, these two goals often go against each other, so the composition of the portfolio means a certain compromise.
Are the fractions 9/6 and 6/4 equivalent?
SOLUTION:
IF YOU GIVE ME AN ANSWER GARBAGE I WILL REPORT YOU
THANK, ;)
Answer: 9/6 and 6/4 are equivalent
Step-by-step explanation:
If you simply 9/6, you get 1 3/6
Simplify 6/4, you get 1 2/4
3/6 and 2/4 both equal 1/2, so 9/6 and 6/4 both equal 1 1/2. Therefore, they are equivalent.
Hope this helped ;D
Ms McNaughton solved the equation below:
8x = 64
8x − 8 = 64 − 8
x = 56
Did she solve the equation correctly or incorrectly? (1 points) If the solution is correct, explain the steps she took to find the solution. If the solution is incorrect, show the correct steps to solve the equation. (4 points)
Answer:
she solved it incorrectly
Step-by-step explanation:
8x=64
8x÷8=64÷8
x=8
Answer:
no she did not
8x=64
÷8 ÷8
x=8
Step-by-step explanation:
simple
2x + 9
8x + 1
Solve for x
Answer:
2x +9+8x+1=180
This on picture answer.
A bookcase is 8 feet high, 1 foot deep, and 2 feet wide. How much space (in volume) does the bookcase take up?
Answer:
The volume of the bookcase is 16 cubic feet.
Step-by-step explanation:
Hey there!
We are given three values (in feet) and asked to find the volume of a bookcase:
8 feet high1 foot deep2 feet wideWe want to find the volume. In order to do this, we need to define:
the formula for finding the volume of a rectangular prismwhat values our data fits withTherefore, the formula for volume is: [tex]v = l \times w \times h[/tex]
[tex]v[/tex] - volume[tex]l[/tex] - length[tex]w[/tex] - width[tex]h[/tex] - heightFinally, we need to assign each number value to either the length, the width, or the height.
Wide is a synonym for width, so our width is 2 feet.
Deep is another way of saying the space inside of the bookshelf, which would be the length (1 foot).
High would refer to how tall something is, so the height is 8 feet.
Now, let's plug in our values and solve for [tex]v[/tex].
[tex]v = l \times w \times h[/tex][tex]v = 1 \times 2 \times 8[/tex][tex]v = (1 \times 2) \times 8[/tex][tex]v = 2 \times 8[/tex][tex]v = \text{16 cubic feet}[/tex]It's important to note that since we are finding volume, our measurement of feet becomes cubic feet.
Therefore, the volume of the bookcase is 16 cubic feet.
Help please explain how you got the answer
Answer: V≈900 ft³
Step-by-step explanation:
Formula
V=πr²h
Given
r=5 ft
h=12 ft
Solve
V=πr²h
V=π(5)²(12)
V=π(25)(12)
V=300π
V≈300(3)
V≈900 ft³
Hope this helps!! :)
Please let me know if you have any questions
Find two rational numbers between -1,36 and -1,35
Step-by-step explanation:
-1,355= -1355/1000
-1,352= -1352/1000
If the farmer has 276 feet of fencing, what are the dimensions of the region which enclose the maximal area?
Answer:
41 ft wide and 61.5 ft long
Step-by-step explanation:
