Answer:
6 km/hr or 5 km/hr
Step-by-step explanation:
In the lake, she goes 15 km at x km/hr (named)
In the river, she goes 6 km at x-2 km/hr (current=2 km/hr)
So, the time in the lake - the time in the river = 1 hour (given)
15/x - 6/x-2 = 1 --> x=6;x=5
The speed of the boat as the photographer paddles the lake if the river current is 2 km/h is 6 km/hr and this can be determined by forming the quadratic equation.
Given :
A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km.Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake.She paddles across the lake for one hour longer than she paddled up the river.According to the given data, if the river current velocity is 2 km/hr then let the speed in the lake be x km/hr. So, the speed of the photographer in the river is (x - 2) km/hr
Therefore, the speed of the boat as she paddles the lake if the river current is 2 km/h is given by:
[tex]\dfrac{15}{x} - \dfrac{6}{x-2}=1[/tex]
Now, simplify the above expression.
[tex]15(x-2)-6(x)=x(x-2)[/tex]
[tex]15x-30-6x=x^2-2x[/tex]
[tex]x^2-11x+30=0[/tex]
Factorize the above equation.
[tex]x^2-6x-5x+30=0[/tex]
x(x - 6) - 5(x - 6) = 0
(x - 6)(x - 5) = 0
x = 6 or 5
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Simplify: -5(3c-9) – 9c – 7c2 +5
What’s the answer?
Answer:
ANSWER: [tex]-7c^{2} -24c+50[/tex]
Step-by-step explanation:
9
2. What value of x makes the equation
3
113
=
true?
Answer:
i don't understand what your asking, but i hope this helps
Step-by-step explanation:
the process of ascertaining the variable value that makes the equation true is called 'solving' the equation. An equation is a verbalization that two quantities are equipollent. For exp/example:. x + 1 = 4 betoken that when we integrate 1 to the unknown value, 'x', the answer is equipollent to 4
90 centimeters tall when 2 years old 100 centimeters tall when 5 do the number of centimeters and the number of years have a proportional relationship?
Answer:
10
Step-by-step explanation:
Riya looks at the temperature in the kitchen. What is the temperature in the kitchen to the nearest division
Answer:
24 degree Celsius
Step-by-step explanation:
Temperature may be defined as the intensity or the degree of heat that is present in any substance or present in the environment. It is the measure of hotness or coldness of any item or surroundings. Temperature is measured with the help of a comparative scale which shows the how hot or cold the place is or item is.
In the context, Riya uses a comparative scale like the thermometer to measure the temperature of the kitchen. The mercury level on the scale rises and stops at a point indicating the temperature of the kitchen.
Thus the temperature of the kitchen according to the scale is [tex]$24 ^ \circ C$[/tex].
In January, Mr Tan's students read 20 books. In Febuary, they read 15 books. What is the percent increase or decrease in the number of books they read?
A. 5% decrease
B. 15% increase
C. 25% increase
D. 25% decrease
Express the fraction 1/15^7 using a negative exponent
Answer:
I think its 15^-7
Step-by-step explanation:
you can forget about the one and just look at the 15 and 7 which you get 15^-7
The fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (1/15)⁷
As we know, from the definition of the integer exponent; integer exponents are exponents that should be integers. It may be a positive or negative number.
After using the properties of the integer exponent:
= (15⁻¹)⁷
= 15⁻⁷
Thus, the fraction (1/15)⁷ can be written as 15⁻⁷ after using the properties of the integer exponent.
Learn more about the integer exponent here:
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solve this problem plss
-2 x < 12
Answer:
x<14
Step-by-step explanation:
if g(x)=f(1/3x), which statement is true?
A the graph of function f is Stretched vertically by a scale factor of 3 to create the graph of function g
B The graph of function F stretched horizontally by a scale factor of 3 to create the graph of function g
C The graph of the function F is compressed horizontally by a scale factor of 1/3 to create the graph of function G
D The graph of function F is compressed vertically by a scale Factor of 1/3 to create the graph function G
Answer:
Step-by-step explanation:
Hope this Helps ;)
How can you see that a reflection could work without knowing where the line of reflection is? If you get the answer right I'll paypal, venmo or cash app you $50. So drop your paypal, venmo or cash app along with your answer.
Note how going from R to S to T to U has us going counterclockwise. In contrast, going from R' to S' to T' to U' has us going the opposite direction going clockwise. This change in orientation strongly implies that a reflection has been done. Reflections always flip orientation.
-----------------------------------------
Here's how we can find the line of reflection.
Draw a line segment from point R to point R'. Mark the midpoint of the segment as point A
Repeat this process to form a segment from S to S'. Mark the midpoint as point B.
The line of reflection will pass through points A and B. This is because the line of reflection is equally distant between the original point (such as point R) and its reflected point (such as R'). This must mean that the line of reflection goes through the midpoint of segment UU' and also segment TT'.
Refer to the diagram below.
Matt has 3 different colored T-shirts and 2 different colored shorts
How many outfits can Matt make with these clothes?
Answer:
Step-by-step explanation:
3 x 2 = 6
Matt can make 6 different outfits with these clothes.
What are the Combinations?Combinations are the procedures used in mathematics to pick k things from n different items without replacement.
The following formula computes the combinations of k items from n:
(n, k) = n! / k!×(n-k)!
Given that Matt has 3 different colored T-shirts and 2 different colored shorts.
Matt can make 3 x 2 = 6 different outfits with these clothes.
This is because for each T-shirt color, he has 2 options for shorts, and he has 3 different T-shirt colors.
So for each T-shirt color, the number of outfit combinations is 2. And since he has 3 T-shirt colors, the total number of outfits is 3 x 2 = 6.
Learn more about permutation here:
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Given the function f(x)=4^x+3
Answer:
f(x)=4^x+3
Step-by-step explanation:
ok annnnnd
If p = 15, what is p ÷ 5 - 2?
Answer:
1
Step-by-step explanation:
p ÷ 5 - 2, If p = 15
15/5 - 2
(15/5=3)
3 - 2 = 1
1 is the answer
a building in the shape of a rectangle is 120 feet long and 90 feet wide. if a fence is to be constructed along te diagonal of the lot, find the length of the fence in feet
Answer: The length of the fence will be 150 feet
Step-by-step explanation:
The question is asking you to find the hypotenuse of a rectangle with a length of 120 feet and a width of 90 feet. To find the hypotenuse we will need to use the formula a^2 + b^2 = c^2
120 feet will be a
90 feet will be for b
this is because a and b are the two legs of the rectangle.
120^2 + 90^2 = c^2
14400 + 8100 = c^2
22500 = c^2
c =√22500
c= 150
|0-(-1/2)| evaluate
Answer:
21/2
Step-by-step explanation:
step 1: remove parentheses
10+1/2
step 2: calculate
21/2
(alternative forms: 10 1/2, 10.5)
Please answer this correctly
Answer:
Correctly
Step-by-step explanation:
please help asap!!!!
Answer:
391.5
Step-by-step explanation:
Find the area of all the sides.
Triangles area: 9 X 10=90 because there are 2 so you don't need to divide by 2
Rectangles area: (9X10)X2= 180 because there is 2
Another rectangle area 13.5 X 9= 121.5
Add all: 90+180+121.5
Answer 391.5
4. Communicate Precisely When you graph a quadratic function, the
y-intercept appears to be 1, and the x-intercepts appear to be -4 and 2.5.
Which values represent the solution(s) to the related equation of the
function? How can you check? Explain
Answer:
solo respondo esto por los puntos
Which inequality correctly orders the numbers -5,-3, and 2 from greatest to least?
Answer:
1) 2 > -3 > -5
Step-by-step explanation:
that is mathematically correct
Reflect the figure over the line y= -x -2
pls help no tutors know the answer!!
Answer: You'll have a quadrilateral with the following points
(5, -5)(4, -7)(6, -7)(8, -3)A diagram is posted below.
===================================================
Explanation:
The given quadrilateral has four unmarked points. I'll add the point labels A,B,C,D such that
A = (-3, 3)B = (-5, 2)C = (-5, 4)D = (-1, 6)I started at the lower right corner and worked my way clockwise.
----------------
Let's shift the line y = x-2 up two units so that it moves to y = x
We'll need to shift every point of the quadrilateral up two units as well.
So we have these new point locations after the shifting has occurred.
A' = (-3, 5)B' = (-5, 4)C' = (-5, 6)D' = (-1, 8)----------------
Now we need to reflect over the diagonal line. The rule to reflect over the line y = x is as simple as swapping the x and y coordinates.
So we can say [tex](x,y) \to (y,x)[/tex]
A point like (-3, 5) moves to (5, -3)
We have these new locations
A'' = (5, -3)B'' = (4, -5)C'' = (6, -5)D'' = (8, -1)----------------
The last thing to do is to shift everything down 2 units. This is to undo the first step we did when we shifted everything up by 2 units.
Doing this leads to these locations
A''' = (5, -5)B''' = (4, -7)C''' = (6, -7)D''' = (8, -3)Check out the diagram below.
Use the equation to identify a and b * a = 1/5 and b = 3 a = 3 and b = 1/5 a= 1/5 and b =1 a = 1 and b = 3
Answer:
[tex]a = 3[/tex]
[tex]b = \frac{1}{5}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3(\frac{1}{5})^x[/tex] --- Missing from the question
Required
Identify a and b
The given equation is an exponential function and the general form is:
[tex]f(x) = ab^x[/tex]
When [tex]f(x) = ab^x[/tex] is compared to [tex]f(x) = 3(\frac{1}{5})^x[/tex]
We have that: [tex]a = 3[/tex] and [tex]b = \frac{1}{5}[/tex]
In the triangle xyz, zv is both the median and the altitude, if xy=9x+12 and xz=11x+2 and yz=4x+20 find the perimeter
Answer:
The answer is "2(12x+17)"
Step-by-step explanation:
The formula of the perimeter:
[tex]\to \bold{P=xy+yz+xz}[/tex]
[tex]=9x+12+4x+20+11x+2\\\\=9x+4x+11x+2+20+12\\\\=24x+34\\\\ =2(12x+17)[/tex]
How to solve the equation: -2(-3x-4)=14
Answer:
1
Step-by-step explanation:
-2(-3x-4)=14
6x + 8 = 14
6x= 14-8
6x=6
x=1
Simplify 5g + h - 3h + 2g
Answer:
7g-2h
Step-by-step explanation:
5g+2g+h-34 = 7g-2h
A chess club plans to sell water bottles to raise $425
they already have $175
if they sell water bottles for $8 each, at least how many bottles do they need to sell in order raise enough money
which inequality represents the situation
Answer:
31
Step-by-step explanation:
I rounded it down thats it
The equality for this equation is
175 + 8b >/= 425
B = number of bottles required to sell. Now, I don't want to give you the answer but I can assist you in easily finding it. Subtract 175 from both sides
8b >/= 250
Now, divide at from both sides and remove the greater than mark which should mean that in the end it should look like it says
**edited** I mean divide 8 from both sides.
b = ?
That is the number of bottles they must sell, if it is a decimal, round it up because there is no such thing as a decimal number for selling water bottles.
AC =
Round your answer to the nearest hundredth.
Answer:
the answer is 1.88 using cosine =adj/hyp
if x = 7, then 7 = x is an example of which property
Answer/Step-by-step explanation:
What do you mean by property?
I will guess for now, but if it is not right I will update it.
It would be the associative property since you are flipping the equation around.
Hope this helps :)
this is my question
Answer:
3
3+3+27=33
Step-by-step explanation:
Answer:
so you would have to subtract and that would be 7=w
Step-by-step explanation:
Describe the shape. FOUNDATION. Help please :(
Answer:
90 degrees counterclockwise
Step-by-step explanation:
Answer:
jfmfmhhcmcmfnf. cbimvncnvnj
68 less than 55 times a number is equal to the number(x). Please can someone tell me the value of the number(x)?
Answer:
x = 34/27 or 1 7/27
Step-by-step explanation:
55x - 68 = x
-68 = -54x
x = 68/54
How do you write 9/10 as a percentage
#To make a fraction into percentage, the easy way is to times the fraction with 100
The percentage of 9/109/10 × 100 = 90
#and so, the percentage of 9/10 is 90%
Answer : 90%