Answer:-115
Step-by-step explanation:
Use distributive property!
-5 times 20 = -100
-5 times 3 = -15
-100 - 15 = 115
Answer: the answer is -115
Step-by-step explanation:
Nadia is mountain climbing. She started at an altitude of 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initial position. What was Nadia's altitude at the end of her climb?
Answer:
5,418.2 feet
Step-by-step explanation:
Nadia is carrying out mountain climbing.
She started climbing the mountain at an altitude of 19.26 feet below the sea level.
Nadia changed her altitude by climbing a total of 5,437.8 feet from her starting position.
Therefore, Nadia's altitude at the end of her climb can be calculated as follows
= 5,437.8-19.6
= 5,418.2
Hence Maria's altitude at the end of her climb is 5,418.2 feet
Answer:
5,418.2 feet
Step-by-step explanation:
Red kangaroos can reach speeds up to 50 feet per second. Use the linear graph at the left to answer the questions. What is the change in y-values from Point A to Point B? What is the change in x-values from Point A to Point B? What is the rate of change of the linear function? feet per second
Answer:
What is the change in y-values from
Point A to Point B?
50
What is the change in x-values from
Point A to Point B?
1
What is the rate of change of the linear function?
50
feet per second
Step-by-step explanation:
The change in y-values from Point A to Point B is from 0 to 50feet. What is the change in x-values from Point A to Point B is 0 to 1 second. Rate of change of the linear function is given by y = 50x (feet per second).
What is linear function?" Linear function is defined as the algebraic expression which represents the relation between the variables with highest exponent equals to 1."
Formula used
[tex]\frac{y-y_{1} }{x-x_{1} } =\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]
According to the question,
Given,
Speed of Red kangaroos can reach = 50 feet per second
Number of feet represent by y - axis
Time represent by x-axis
When
[tex]x_{1} = 0 seconds \\\\y_{1} = 0 feet[/tex]
When
[tex]x_{2} = 1 seconds \\\\y_{2} = 50 feet[/tex]
Change in y-values from point A to B is given by [tex](y_{1}, y_{2} ) = (0,50)[/tex]
Change in x-values from point A to B is given by [tex](x_{1}, x_{2} ) = (0,1)[/tex]
Rate of change of the linear function
[tex]\frac{y-0 }{x-0 } =\frac{50-0}{1-0}[/tex]
⇒[tex]y= 50x[/tex]
Hence, the change in y-values from Point A to Point B is from 0 to 50feet. What is the change in x-values from Point A to Point B is 0 to 1 second. Rate of change of the linear function is given by y = 50x (feet per second).
Learn more about linear function here
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A road perpendicular to a highway leads to a farmhouse located 2 km away. A car travels pastthe farmhouse on on the highway at a speed of 80 km/h. How fast is the distance between thecar and the farmhouse increasing when the car is 6 km past the intersection of the highwayand the road
Answer:
75.9 km/hr
Step-by-step explanation:
Distance between the highway and farmhouse is given as = 2km = a
The distance after the intersection and the highway = b
Let the distance between the farmhouse and the car = c
Using the Pythagoras Theorem rule
c² = a² + b²
c² = 2² + b²
Step 1
Since distance is involved, time is required. Hence, we differentiate the equation above in respect to time
c² = 2² + b²
dc/dt (2c) = 4 + 2b
dc/dt =[ b/(√b² + 4)] × db/dt
We are told in the question that:
the car travels past the farmhouse on on the highway at a speed of 80 km/h.
We are asked to calculate the speed at which the distance between the car and the farmhouse kept increasing when the car is 6 km past the intersection of the highway and the road.
This calculated using the obtained differentiation above:
dc/dt = [ b/(√b² + 4)] × db/dt
Where b = 6km
db/dt = 80km/hr
[6/(√6² + 4)] × 80km/hr
6/√36 + 4 × 80km/hr
6 × 80/√40
480/√40
= 75.894663844km/hr
Approximately = 75.9km/hr
In this exercise we want to calculate the speed of the vehicle to reach the farm, in this way we will find a speed of approximately:
[tex]75.9 km/hr[/tex]
To start this exercise we have to use some data informed in the text, like this:
Distance: [tex]a=2km[/tex] Distance after the intersection and the highway: [tex]b[/tex] Distance between the farmhouse and the car: [tex]c[/tex] Pythagoras Theorem rule: [tex]c^2 = a^2 + b^2[/tex]
Since distance is involved, time is required. Hence, we differentiate the equation above in respect to time
[tex]c^2 = 2^2 + b^2\\\frac{dc}{dt} (2c) = 4 + 2b\\\frac{dc}{dt} =[ b/(\sqrt{b^2} + 4)] ( \frac{db}{dt})[/tex]
Calculate the speed at which the distance between the car and the farmhouse kept increasing when the car is 6 km past the intersection of the highway and the road. This calculated using the obtained differentiation above:
[tex]\frac{dc}{dt} = [ 6/(\sqrt{6^2} + 4)] (80)\\=6/\sqrt{36} + 4 * 80\\=6 * 80/\sqrt{40} \\=480/\sqrt{40} \\= 75.9km/hr[/tex]
See more about speed at brainly.com/question/312131
Can I get some Help please
Answer:
f(-2) = 2
Step-by-step explanation:
The question is asking for the y-value of the point located at x = -2 on the graph. The point is at (-2, 2), so f(-2) = 2.
distance between (-1,4) and (1,-1
Answer:
√29 units
Step-by-step explanation:
Find the distance between (-1,4) and (1,-1).
We'll use the Pythagorean Theorem:
The horizontal distance between the two points is 1 - (-1), or 2, and the vertical distance is 4 - (-1), or 5.
Thus, the distance squared is 2^2 + 5^2, or 29, and the distance between the two points is therefore
d = √29 units
41. Find the area of the triangle.
a. 30 yd
b. 45 yd
c. 28 yd
d. 60 yd
Answer:
D
Step-by-step explanation:
Area is found by LxWxH
Answer:
30yd^2Step-by-step explanation:
[tex]Base = 10yd\\Height = 6yd\\\\Area = \frac{1}{2} \times base \times height\\\\A= \frac{1}{2} \times 10 \times 6\\\\A = \frac{60}{2} = \\\\30yd^2[/tex]
Multiply and write your answer in scientific notation.
(4 10%)(2 x 10-5)
Answer:
Here mate!
Step-by-step explanation:
Enter numbers, scientific notation or E notation.
Scientific Notation: 3.45 x 10^5
E Notation: 3.45e5
HOPE IT HELPS AND IS CORRECT!
Innea's company's revenue in 201720172017 is \dfrac{36}{25} 25 36 start fraction, 36, divided by, 25, end fraction of its revenue in 201620162016. What is Linnea's company's revenue in 201720172017 as a percent of its revenue in 201620162016 ?
Answer:
144%
Step-by-step explanation:
Complete question below:
Linnea's company's revenue in 2017 is 36/25 of its revenue in 2016. What is Linnea's company's revenue in 2017 as a percent of its revenue in 2016?
Solution
Let
36x= Linnea's company revenue in 2017
25x=Linnea's company revenue in 2016
Percent of Linnea's company's revenue in 2017 as a percent of its revenue in 2016= 36x / 25x × 100
36x / 25x * 100
=1.44 × 100
=144%
Which expression represents x? – 18x + 81 in factored form?
(x + 9)2
(x + 27)(x – 3)
(x – 9)
(x + 9)(x -9)
1
2
3
4 5
Answer:
[tex](x-9)^{2}[/tex]
Step-by-step explanation:
By factorization, we get ----
[tex]x^{2} -18x+81\\=x^{2} -9x-9x+81\\=x(x-9)-9(x-9)\\=(x-9)(x-9)\\=(x-9)^{2}[/tex]
What is the third of 45
Answer:
15
Step-by-step explanation:
A third of 45 is 1/3 multiplied by 45 or 45 divided by 3, which is equal to 15.
Answer:
15
Step-by-step explanation:
45 divided by 3 = 15
PLEASE HELP, I DONT UNDERSTAND THIS.....Michael is laying carpet in a perfectly rectangular hall. The area of the hall is 240 square feet, and the width of the hall is 6 feet. How long is the hall?
Answer:
40 feet
Step-by-step explanation:
We know that the area of a rectangle is represented as [tex]lw=a[/tex], where l is the length and w is the width.
We already know the width, and we know the area, so we can plug these values into the equation.
[tex]l\cdot 6 = 240[/tex]
Our goal is to now isolate the variable l, and to do this we can divide both sides by 6.
[tex](l\cdot6) \div6 = 240\div6\\\\l = 40[/tex]
Hope this helped!
Answer:
l=a/w
Step-by-step explanation:
Length equals area divided by width.
Help someone plzzzz!!!!
Answer:
G.
hope this explanation helps
Step-by-step explanation:
Can someone please help me
Answer:
never
Step-by-step explanation:
smith will run out by week 2
Answer:
After 17 weeks
Step-by-step explanation:
We can create a system of equations for this problem, where y is the total amount of money in their banks and x is the amount of weeks passed.
Mr. Smith's equation will be [tex]y = 12x+21[/tex].
Mr. Brown's equation will be [tex]y = 10x+55[/tex].
We can now solve for x by using substitution.
Let's substitute Mr. Brown's equation into Mr. Smith's equation.
This get us [tex]10x + 55 = 12x + 21[/tex].
We can now solve for x.
Let's subtract 12x from both sides:
[tex]-2x + 55 = 21[/tex]
And now let's subtract 21 from both sides:
[tex]-2x+34=0[/tex]
Now we subtract 34 from both sides:
[tex]-2x=-34[/tex]
And divide both sides by -2.
[tex]x=17[/tex]
Hope this helped!
HELP ASAP WILL MARK BRAINLIEST!!!!! The coordinates of point T are (0,3). The midpoint ST of is (1,-5). Find the coordinates of point S. The other endpoint is
Greetings from Brasil...
See the attached chart. The midpoint, M, has 8 units down on the Y axis. So the other half will also have 8 units after that point M. This is also true for the X axis.
Just make the difference between points T and M. For M and S they are the same quantities.
(0; 3) and (1; -5)
X: 1 - 0 = 1 (one unit until mid point)
Y: - 5 - 3 = - 8 (8 units until mid point)
To S:
S(W; Z) M = center point coordinate value
W = M + 1 ⇒ W = 1 + 1 = 2
Z = M - 8 ⇒ Z = - 5 - 8 = - 13
S(2; -13)Match each function name with its equation.
(Look at picture)
Answer:
a. square root is y = [tex]\sqrt{x}[/tex]
b. linear is y = x
c. cubic is [tex]y = x^3[/tex]
d. quadratic is [tex]y = x^2[/tex]
e. reciprocal squared is [tex]y = \frac{1}{x^2}[/tex]
f. absolute value is y = |x|
g. reciprocal is [tex]y = \frac{1}{x}[/tex]
h. cube root is [tex]y = \sqrt[3]{x}[/tex]
Step-by-step explanation:
A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 4, 5. Column 2 is labeled y with entries 15, 30, 60, 75. Does this table represent a proportional relationship? 1,15 2,30 4,60 5,75 please answer this question quickly please and thank you
Answer:
The table represents a proportional relationship
Step-by-step explanation:
Given
x ------ y
1 ------- 15
2 --------30
4 ---------60
5 -------- 75
Required
Determine if the table shows a proportional relationship
To check this, we make use of the following formula;
[tex]k = \frac{y}{x}[/tex]
Where k is the proportionality constant
When x = 1, y = 15
[tex]k = \frac{15}{1} = 15[/tex]
When x = 2, y = 30
[tex]k = \frac{30}{2} = 15[/tex]
When x = 4, y = 60
[tex]k = \frac{60}{4} = 15[/tex]
When x = 5, y = 75
[tex]k = \frac{75}{5} = 15[/tex]
Since the value of k for all values of x and y is the same; i.e. 15
Then, the table represents a proportional relationship
Quick Answer: $5.86
Step-by-step explanation:
Hope it helps!! :)
f(x) = x2 -2x & g(x) = 12-8x.
Find f(2) - g(3)
=========================================
Work Shown:
f(x) = x^2 - 2x
f(2) = 2^2 - 2*2 ... replace every x with 2
f(2) = 4 - 4
f(2) = 0
----------------------------
g(x) = 12-8x
g(3) = 12-8*3 ... replace every x with 3
g(3) = 12-24
g(3) = -24
----------------------------
Subtract the results of the previous two sections
f(2) - g(3) = 0 - (-24)
f(2) - g(3) = 0 + 24
f(2) - g(3) = 24
If the m<5 = 63 degrees, find the measure of <3
Answer: 117?
Step-by-step explanation:
Practice Sum
If y is inversely proportional to x and y=4 when x=3
i) Express y in terms of X
ii) Find the value of y when x=6
Answer:
I) y = 1/x
ii) y = 1/6
Step-by-step explanation:
inversely proportional just means that the right hand side is the inverse of the left hand side of an equation.
Can someone please help me, I've been stuck on this since yesterday. Thanks!
Answer:
Since there are no common factors, the only common factor for [tex]\frac{4}{x+5}[/tex] is 1
A roller coaster accelerates from an initial speed of 6.0 m/s to a final speed of 70 m/s over 4 seconds. What's the acceleration?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{16 \: m/ {s} \: ^{2} }}}}}[/tex]Step-by-step explanation:
Given,
Initial velocity ( u ) = 6 m/s
Final velocity ( v ) = 70 m/s
Time ( t ) = 4 seconds
Acceleration ( a ) = ?
Finding the acceleration
We know that,
[tex] \boxed{\sf{acceleration = \frac{v - u}{t} }}[/tex]
⇒[tex] \sf{ \frac{70 - 6}{4} }[/tex]
⇒[tex] \sf{ \frac{64}{4} }[/tex]
⇒[tex] \sf{16 \: m/ {s}^{2} }[/tex]
Hope I helped!
Best regards!
Asia contains both the highest and lowest known points on earth. Mt. Everest is a little over 29,000 feet above sea level, and the shore of the Dead Sea is about 1,370 feet below sea level. What is the approximate difference in elevation between the two points?
27,630 feet
28,370 feet
29,370 feet
30,370 feet
Answer:
30,370 feet
Step-by-step explanation:
The difference in elevations between two points will be 30370 feet.
It is given that Mt. Everest is 29000 feet above sea level and the shore of dead sea is 1370 feet below the sea level.
We have to find out the difference in elevation between the two points.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.
As per the question ;
Height of Mt. Everest from sea level = 29000 ft. above
Height of shore of dead sea from sea level = 1370 feet below
As these both are in opposite directions , i.e., one above sea level and other below sea level , we should add both of these to find the difference in elevations between these two points.
i.e.,
The difference in elevations between two points will be ;
= 29000 + 1370
= 30370 feet
Thus , the difference in elevations between two points will be 30370 feet.
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I need help on question C only plzzzz
You need to work out the current UK percentage first.
SOMEONE HELP PLZ ASAP!!!!!
Answer:
a)A=53
b)A=42.68
c)A=60
2(x-4)+2x=-6x-2 what is the solution
Step-by-step explanation:
hi the answer is x= 3/5
i have added 2 methods of solving it in the above picture. ask me if you have any questions
Answer:
x = 3/5
Step-by-step explanation:
This equation can be solved with algebraic techniques. We will simplify the equation by combining like terms and then use algebraic techniques in order to solve for x.
2(x - 4) + 2x = -6x - 2 Use the distributive property.
2x - 8 + 2x = -6x - 2 Combine like terms (variable terms first).
4x - 8 = -6x - 2 Add 6x to both sides of the equation.
10x - 8 = -2 Add 8 to both sides of the equation.
10x = 6 Divide by 10 on both sides of the equation.
x = 6/10 Simplify the fraction.
x = 3/5
Find the distance between the points A(10, –9) and B(8, 7). Round your answer to the nearest hundredth. A
Answer:
16.12 units
Step-by-step explanation:
distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(8 - 10)² + (7 + 9)²]
d = √[(-2)² + (16)²]
d = √[4 + 256]
d = √260
d = 16.12
Simplify: 3(a+b)-2(2a-b)+4a-7a
Answer:
Hey there!
3(a+b)-2(2a-b)+4a-7a
3a+3b-4a+2b-3a
3b-4a+2b
5b-4a
-4a+5b
Let me know if this helps :)
Answer
[tex] \boxed{ \boxed{ \bold{ \red{ - 4a + 5b}}}}[/tex]
Step by step explanation
[tex] \sf3(a + b) - 2(2a - b) + 4a - 7a[/tex]
Distribute 3 through the parentheses
⇒[tex] \sf3a + 3b - 2(2a - b) + 4a - 7a[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf3a + 3b - 4a + 2b + 4a - 7a[/tex]
Collect like terms
⇒[tex] \sf3a +4a - 4a - 7a + 3b + 2b[/tex]
Since , two opposites add up to zero, remove them from the expression
⇒[tex] \sf3a - 7a + 3b + 2b[/tex]
⇒[tex] \sf - 4a + 5b[/tex]
Hope I helped!
Best regards!!
find HCF of 96 and 404 by prime factorization method and find their LCM
Answer:
HCF of 96 and 404 by prime factorisation method:-
Since, 96 = 2 × 2 × 2 × 2 × 2 × 3
and, 404 = 2 × 2 × 101
So, HCF of 96 and 404 = Product of common prime factors
= 2 × 2 = 4
LCM = 2 × 2 × 2 × 2 × 2 × 101 × 3
= 9696
Step-by-step explanation:
i think i
don't no
calculate the values of the expression below 2 ( 3 (5 + 2) -1)
Answer:
= 40
Step-by-step explanation:
2 ( 3 (5 + 2) -1)
= 2 * 20
= 40
Answer:
40Step-by-step explanation:
[tex]2\left(3\left(5+2\right)-1\right)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3\left(5+2\right)-1\right)\:\\\\:\quad 20\\\\=2\times \:20\\\\= 40[/tex]
Which set of points does NOT represent a function?
A) (-2, 1), (6,3), (5, 1), (-4,6)
B) (-7,3), (1, 2), (5,3), (-7,2)
C) (-4,-3), (-1, 2), (0,5), (3, 2)
D) (-5, -1), (-2, -1), (1, -1), (4, -1)
Answer:
B.
Step-by-step explanation:
The X-Values cannot repeat in a function.