Answer:
The speed is still water is [tex]v = \frac{d}{h} - c[/tex].
Step-by-step explanation:
Dimentionally speaking, speed is distance divided by time. Since, the person is travelling downstream, absolute speed is equal to the sum of current speed and speed of the person regarding current. Both components are constant. That is:
[tex]c + v = \frac{d}{h}[/tex]
Where:
[tex]c[/tex] - Current speed, measured in miles per hour.
[tex]v[/tex] - Speed of the person regarding current, measured in miles per hour.
[tex]d[/tex] - Distance travelled downstream, measured in miles.
[tex]h[/tex] - Time spent on travelling, measured in hours.
Speed in still water occurs when current speed is zero. Then, such variable is obtained after subtracting current speed on both sides of the expression. Hence:
[tex]v = \frac{d}{h} - c[/tex]
The speed is still water is [tex]v = \frac{d}{h} - c[/tex].
Need answer ASAP TY.............................
Answer:
sin(g) = x/z
Step-by-step explanation:
Sine is opposite over hypotenuse. Our opposite is x and our hypotenuse is z. Therefore, our answer is sin(g) = x/z
A sum of rs. 4000 is invested at a rate of 8% of compound intrest at 1st year and 10% at 2nd year. Find the sum of both the years. (Pls write the answer with steps and formulas). It's urgent
Answer:
The sum after the second year is rs.4752
Step-by-step explanation:
The interesting thing about solving for compound interest problems is understanding that the principal changes every year.
To solve this problem, we will break it into two years and solve for each year, so we can obtain the final sum to be paid at teh end of the second year.
Please note:
P = principal {the original sum invested}
R = rate of interest.
T= time required to pay back
Sum after the First Year:
Interest = [tex]\frac{P \times R \times T}{100}=\frac{4000 \times 8 \times 1}{100}=320[/tex]
Therefore his money after the first year is got by adding the interest of 320 to the initial principal which will givers. 4320.
After the first year, the money that will be used to calculate the new interest paid will be this rs.4320 obtained at the end of the first year.
Sum after the second Year
Interest =[tex]\frac{P \times R \times T}{100}=\frac{4320 \times 10 \times 1}{100}=432[/tex]
Sum = 4320+432 = rs.4752
Hence, the sum after the second year is rs.4752
Convert the decimal to a percent.
3.06 = a number here %
Look at this information.
[tex]x \leqslant 0[/tex]
1)Give an example of what the value of x could be.
2) Give a different example of what the value of x could be.
Answer:
1) 0
2) -1
Step-by-step explanation:
x ≤ 0, that means x is equal and less than 0 . so the numbers will start from 0,-1, -2 and so on
Adult tickets to a concert sold at $8, while student tickets cost $5.
If 70 tickets were sold for a total of $440, how many adult tickets were sold?
40 tickets
30 tickets
55 tickets
15 tickets
The number of adult tickets sold was 30 tickets
The first step is to write out the parameters given in the question;
Adult ticket sold at the concert is at the price of $8
Student tickets sold cost $5
A total of 70 tickets were sold at $440
Therefore the number of adult tickets sold can be calculated as follows;
= 8(5)
= 40
70-40
= 30
Hence the number of adult tickets sold is 30 tickets
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Multiply 3x(2x-1) by following these steps
Answer:
[tex]6x^2-3x[/tex]
Step-by-step explanation:
[tex]3x(2x-1)[/tex]
[tex]3x(2x)+3x(-1)[/tex]
[tex]6x^2+-3x[/tex]
After apply distributive property, required solution is,
⇒ 6x² - 3x
We have tp given that,
An expression to simplify,
⇒ 3x (2x - 1)
We can simplify it by distributive property,
⇒ 3x (2x - 1)
⇒ 3x × 2x - 3x × 1
⇒ 6x² - 3x
Therefore, The required solution is,
⇒ 6x² - 3x
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PLEASE HELP ASAP! Which equation is represented by the graph below? y=e^x+5 y=e^x+4 y=ln x+4 y=ln x+5
Answer:
y = ln(x) + 4
Step-by-step explanation:
Fastest way to do this is to graph each equation into a graphing calc and match it with the given graph.
If the mean of m, n, s, P and q is 12.
Calauate the mean of (m + 4), (n-3),(s+6)
(p-2) and (q+8).
Answer:
Step-by-step explanation:
We have,
Mean = Σx/n
or 12= (m+n+s+p+q)/5
or, m+n+s+p+q = 60 ...........(i)
Again,
New Mean = (m+4+n-3+s+6+p-2+q+8)/5 [∵ n = 5]
or, New Mean = {(m+n+s+p+q)+13}/5
or, New Mean = (60+13)/5 = 73/5 [from eq (i)]
∴ New Mean = 14.6 Ans.
Given that R = 8 x + 4 y Find y when x = 8 and R = 30 Give your answer as an improper fraction in its simplest form.
Answer:
25/8
Step-by-step explanation:
Given That:
R = 8x+4y
X= 8
R = 30.
So, 8 x 8 +4y = 30
Simplify, Rearrange and solve.
64 + 4y = 30
4y = 30/64 = 15/32
y = 15/32 divided by 4
y = 15 / 32 x 1/4
y = 15/(32 x 4) = 15/128
hope this helps
XYZ is a triangle.
XY = 9.3 cm
YZ= 12.4 cm
Angle XYZ= 38°
Work out the area of triangle XYZ.
Give your answer correct to 3 significant figures.
Answer:
Area of ΔXYZ = 35.499 cm²
Step-by-step explanation:
From the figure attached,
In triangle XOY,
Sin38° = [tex]\frac{\text{OX}}{\text{XY}}[/tex]
OX = (XY)Sin38°
OX = (9.3)Sin38°
= 5.7257 cm
Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(\text{YZ})(\text{OX})[/tex]
= [tex]\frac{1}{2}(12.4)(5.7257)[/tex]
= 35.499 square cm
Therefore, area of the given triangle XYZ = 35.499 cm².
How do the surface area and volume of a sphere differ in the label of the answer? a. The volume of a sphere is expressed in square units and the surface area of a sphere is expressed in cubic units. c. The volume and surface area of a sphere are both expressed in cubic units. b. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units. d. The surface area of a sphere cannot be determined because a sphere is a round shape. Please select the best answer from the choices provided
Answer:
B. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units.
Step-by-step explanation:
Work out the value of x please
Answer:
X=67.5
Step-by-step explanation:
360-90=270
Then I do
270/4=67.5 to find the answer of each X
(4 is how many X is in the 270 degree)
3.
Reasons
Statements
MNOP is a parallelogram
N
PM || ON
M
Given:
Alternate Int. Zs Thm,
MNOP is a parallelogram
MN II PO
Alternate Int. Zs Thm,
Prove:
PM = ON
(For this proof, use only the
definition of a parallelogram;
don't use any properties)
HE
Answer:
3. [tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]
4. [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE
C is the midpoint of [tex]\overline{AE}[/tex]: Reason; [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Definition of midpoint
Step-by-step explanation:
3. A parallelogram is defined as a quadrilateral with two opposite sides equal and parallel and having equal opposite interior angles
MNOP is a parallelogram: Reason; Given
[tex]\overline{PM}\left | \right |\overline{ON}[/tex] : Reason; Opposite sides of a parallelogram
∠NOM ≅ ∠OMP: Reason Alternate interior angles
[tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Opposite sides of a parallelogram
∠NMO ≅ ∠MOP: Reason Alternate interior angles
[tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]
4. [tex]\overline{AB}\left | \right |\overline{DE}[/tex] : Reason; Given
∠EAB ≅ ∠AED: Reason; Alternate int. ∠s Thm
∠ABC ≅ ∠EDB : Reason; Alternate int. ∠s Thm
C is the midpoint of [tex]\overline{BD}[/tex]: Reason; Given
[tex]\overline{BC}[/tex] = [tex]\overline{CD}[/tex]: Reason; Definition of midpoint
Therefore, ΔACB ≅ ΔDCE: Reason Angle Angle Side (AAS) Theorem
[tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE
C is the midpoint of [tex]\overline{AE}[/tex]: Reason; Definition of midpoint
Rafael has 118 baseball cards arranged in an album. Each page of the album can hold 9 cards. How many pages are full and how many cards are on the last page?
Answer:
Dear user,
Answer to your query is provided below
Pages full = 13
Card on last page = 1
Step-by-step explanation:
Rafael has 118 baseball cards.
Each album can hold 9.
So, using multiples of 9 or by dividing 118/9
That 1 is remainder.
So, cards on last page is 1
Verify ,
Pages full = (118-1)/9 = 13
y = 2 is a polynomial function.
True or false
Answer:
false
Step-by-step explanation:
Find square root of the following numbers by long division method
1).2025
Answer:
Hope this helps. Good luck
Step-by-step explanation:
There are 39 students.The number of students that play football is twice as much as the number of students that play volleyball.9 students play both sports.WHAT IS THE NR OF STUDENTS THAT ONLY PLAY FOOTBALL?
Answer:
17
Step-by-step explanation:
There are a total of 39 students.
students.
The number of students that play football is twice as much as the number of students that play volleyball.
Let the number that plays volleyball be x then the number that plays football will be 2x. This we have
x + 2x = 39
3x = 39
x = 13
The total number that plays volleyball is 13.
The total number that plays football will be 2 x 13 = 26
Since 9 students play both sports, the number of students that plays only football will be 26 - 9 = 17.
Can someone help me im kinda dumb :/
Answer:
9. a₁ = 13, aₙ = aₙ₋₁ × (-2)
10. aₙ = 2 (-3)ⁿ⁻¹
Step-by-step explanation:
9. aₙ = 13 (-2)ⁿ⁻¹
This is a geometric sequence where the first term is 13 and the common ratio is -2.
So the recursive formula is:
a₁ = 13, aₙ = aₙ₋₁ × (-2)
10. a₁ = 2, aₙ = aₙ₋₁ × (-3)
This is a geometric sequence where the first term is 2 and the common ratio is -3.
So the explicit formula is:
aₙ = 2 (-3)ⁿ⁻¹
What is the equation of the line, in slope-intercept form, that passes through (3,-1) and (-1, 5)?
2 x + 3 y - 7 = 0
2 y=-3x+7
ASAP PLEASE
Answer:
[tex]2y = -3x+7[/tex]
Step-by-step explanation:
The coordinates are (3,-1) and (-1,5)
Finding the slope :
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{5+1}{-1-3}[/tex]
Slope = [tex]\frac{6}{-4}[/tex]
Slope = [tex]-\frac{3}{2}[/tex]
Now Finding y-intercept.
For this, we'll take any point
Let it be (3,-1)
So,
Point = (x,y) = (3,-1)
=> x = 3, y = -1
Putting in slope intercept form to get b
=> [tex]y = mx+b[/tex]
=> -1 = (3)([tex]-\frac{3}{2}[/tex]) + b
=> b = -1 + [tex]\frac{9}{2}[/tex]
=> b = [tex]\frac{7}{2}[/tex]
Putting m and b in the slope intercept form to get the required equation of line
=> [tex]y = mx+b[/tex]
=> [tex]y = \frac{-3x+7}{2}[/tex]
=> [tex]2y = -3x+7[/tex]
A subscription service charges new
customers $2 per video game plus
$10 for the membership rental card.
Step-by-step explanation:
Graphing Linear Inequalities
This is a graph of a linear inequality:
linear inequality y <= x +2
The inequality y ≤ x + 2
You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2
Linear Inequality
A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...
... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.
How to Graph a Linear Inequality
First, graph the "equals" line, then shade in the correct area.
There are three steps:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
Let us try some examples:
Example: y≤2x-1
1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange
2. Plot y=2x-1 (as a solid line because y≤ includes equal to)
Please can anyone Help ASAP
Answer:
Jemima is wrong because perimeter is sum of all sides and the perimeter of this figure would be the outer sides of it and not the inner sides.
Answer:
See below.
Step-by-step explanation:
She is wrong because 3 times the perimeter of one triangle is the sum of 9 sides of the triangles.
In the shape we see that some of the sides of the triangles are 'shared' and dare not part of the perimeter of the shape, - the perimeter is only the length of 5 sides of a triangle.
So the perimeter is less than the sum of the sides of the 3 triangles.
Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.Isosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?
Answer:
5
Step-by-step explanation:
Work Shown:
L = (0,1)
N = (6,1)
m = slope of LN
m = (y2-y1)/(x2-x1) is the slope formula
m = (1-1)/(6-0)
m = 0/6
m = 0
Points L and N are on the same horizontal level, so line LN is horizontal and completely flat. We can see this by noting the y coordinates are both the same. All horizontal lines have a slope of 0 to indicate no change in y value (ie, no change in rise; no increase nor decrease)
B
Which transformations could have taken place to
map ABC to A'B'C'
B"
a reflection and a dilation
a rotation and a dilation
C"
A"
a translation and a dilation
a reflection and a translation
C
Answer: C
Step-by-step explanation:
Translating A'B'C' to A''B''C'' doesn't change the position of the vertices and to make it smaller you have dilate the figure because that is the only way to change the size of a shape.
.Reflecting the figure changes the position of the vertices so A and D can't be an answer choice.
Rosa and her brother worked landscaping jobs last summer. Rosa earned $8 more than twice the amount earned by her brother. If their earnings totalled $71, how much did Rosa earn? NEED AN ANSWER
What is the best estimate of the sum of the fractions?
31 17
4 3
+
+
8
18
o 12 1 / 2
13
141
15
Answer:
499/36
Step-by-step explanation:
If you find the LCM of all fractions and add them then you get 279/36+204/36+16/36 which is equal to 499/36
Answer:
Its B or 13
Step-by-step explanation:
Which sentence can be represented by the equation 3/5m=15
The sum of 3/5 and a number is 15
Three-fifths more than a number is 15
Three-fifths times a number is 15.
3
The quotient of 3/5 and a number is 15.
Answer:
three-fifths times a number is 15
Step-by-step explanation:
let the unknown number be x
based on the answer above:
3/5 × x = 15
3/5x = 15
Answer: C is the correct answer
Step-by-step explanation:
Find the area of the regular
pentagon.
5.5 cm
8 cm
Answer:
Area = 110 cm²
Step-by-step explanation:
You can find the area of a regular pentagon by finding the area of one of the triangles created by its central angle and multiplying it by 5.
1. Use the formula for the area of a triangle to find the area of the triangle formed by its central angle.
[tex]A = \frac{1}{2} bh\\\\A = \frac{1}{2}8(5.5)\\\\A = \frac{1}{2}44\\\\A = 22[/tex]
2. Multiply this area by 5 to get the area of the entire pentagon.
A = 22(5)
A = 110
The function of fx has been transformed to give go. Witch of the following functions represent gx?
Answer:
Sorry your mouse is blocking the fx equation. Is it x squared? I can't help you if I can't see what the equation is I'm sorry
Step-by-step explanation:
Can I get the awnser to this?
Answer: 17.8 yds
Step-by-step explanation:
The length of the arc of the ENTIRE circle is the circumference (C = 2πr).
We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.
The formula for length of an arc is: [tex]s=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]
Given r = 17, θ = 60°
[tex]s=2\pi (17)\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =2\pi(17) \bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =\dfrac{17 \pi}{3}\\\\\\.\quad =\large\boxed{17.8}[/tex]
HELP! URGENT PLEASE!
Answer: -7
Step-by-step explanation:
-3 is across from -7 on the chart, so -7 is the x that houses with the f(x) -3