Answer: B = 15 kph or 15 kph
step by step
(b-5)*10=(b+5)*5
10b-50=5b+25
5b=75
b=15 kph in still water
Find the x-intercept and y- intercept of the graph of 6x - 2y = - 6 Then graph .
Answer:
Step-by-step explanation:
Y intercept = (0,3)
X intercept = (-6,0)
(the equation graphed)
2 cos theta - 1 = 0 trig equations
Answer:
what does cos theta mean
Step-by-step explanation:
i need to know
Traffic signs are regulated by the Manual on Uniform Traffic Control Devices ( MUTCD ) The perimeter of a rectangular traffic sign is 100 inches . Also , its length is 10 inches longer than its width . Find the dimensions of this sign .
The Manual on Uniform Traffic Control Devices governs traffic signs (MUTCD ) A rectangular traffic sign has a 100-inch perimeter. Additionally, its width is 10 inches wider than its length. Identify this sign's measurements.
The dimensions of this sign, the width of the sign is 20 inches and the length of the sign is 30 inches.
Given, The perimeter of a rectangular traffic sign is 100 inches.
rectangular perimeter= 2(l+b)=100
Also, its width is 10 inches wider than its length.
l=10+b
Take 2(l+b)=100
l+b=50
Substitute l=10+b in the above equatuion.
10+b+b=50
10+2b=50
2b=50-10
2b=40
b=20
Substitute b=20 in l=10+b
l=10+20
l=30
Therefore, The width of the sign is 20 inches and the length of the sign is 30 inches.
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If 5x is the average of two numbers and one of the numbers is 3, what is the other number? My book says its 10x-3. How did they come up with that answer?
The other number given the average of the two numbers and one of the numbers is 10x - 3.
What is the average of the two numbers?The average of a set of numbers is the mean of the numbers. The average of a set of numbers is determined by adding the numbers together and dividing it by the sum of numbers. Average is a measure of central tendency.
In order to determine the second answer, subtract the first number from the sum of numbers.
Average = sum of numbers / total numbers
5x = sum of numbers / 2
Sum of the two numbers = 5x × 2
Sum of the two numbers = 10x
If one of the numbers is 3, the other number is: 10x - 3
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Place the numbers in the table to order them from least to greatest.
Pllssss
Step-by-step explanation:
-4.25, -4, 3.95, -13/3, -14/3
I need help identifying if it's a cube or square root function
On the day that Tony was born his grandmother invested $2200 in a certificate of deposit that pays a 3% interest
rate compounded annually. How much money will there be in the account on his 16th birthday?
Answer:
$3530.3541
Step-by-step explanation:
Given that:
Principal = 2200
Interest rate compounded annually (r) = 3%
Time (t) = 16 years
Using the compound interest formula :
A = P(1 + r/n)^n*t
A = final amount
n = number of times interest is applied per period
A = 2200(1 + 0.03)^16
A = 2200(1.03)^16
A = 2200 * 1.60470643909878751793
A = $3530.3541
Hence, amount in account on his 16th birthday will be $3530. 3541
* plz hurry it is on a test
4) Find the slope of the line that runs through these points.
(-10, -2), (5,0)
Answer:
slope = 1/4
Step-by-step explanation:
The slope of a line is defined by the rise (change in y-value)/run (change in x-value. The change in y-value is 0 - (-2) = 0 + 2 = 2. The change in x-value is -2 - (-10) = -2 + 10 = 8. Therefore, the slope is 2/8 or (simplified) 1/4.
Question 4
1 pts
Solve:
-(x-8)= -2
x = [a]
Answer:
-[x-8]= -2
-x+8=-2
-x= -2-8
-x÷ -1=-10÷ -1
x=10√
Use the reciprocal property to solve for x : 3/540= 10/x
Answer:
x=1800
Step-by-step explanation:
The value of x for the given equation is 1800.
What is the reciprocal property?The reciprocal of any quantity is, one divided by that quantity. For any number ‘a’, the reciprocal will be 1/a. If the given number is multiplied by its reciprocal, we get the value 1.
Given that, 3/540= 10/x.
Now, 1/180 = 10/x
⇒ 180/1 =x/10
⇒ x=180×10
⇒ x=1800
Therefore, the value of x for the given equation is 1800.
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What are the coordinates of the vertex? *
Answer:
(2,-7)
Step-by-step explanation:
The equation of a parabola is y=a(x-h)^2 + k
the vertex in this equation is (h,k)
Since the equation that is given is y=(x-2)^2-7
we can conclude that the vertex will be (2,-7)
2 tablets 3x per day
Answer: that's 6 tablets per day!
Hope this helps!
If it rains 6 inches in three weeks how many inches did it rain per week?
Answer:
2
Step-by-step explanation:
Divide the fractions.
9/2 divided by 4/10
Answer:
11 1/4
Step-by-step explanation:
9/2/4/10
9/2/2/5
9/2*5/2
45/4
11 1/4
Final Answer:
45/4
Step-by-step explanation:
9/2 ÷ 4/10
9/2 ÷ 10/49/2 × 10/4 = 90/890/8 ⇒ 45/4
give the formula for the following sequence. 22, 19, 16, 13, 10,...
Answer:
x_n = x_(n-1) - 3
Step-by-step explanation:
x_n = x_(n-1) - 3
Take the previous number and subtract 3
Answer:
Just keep on adding 3
Step-by-step explanation:
10 + 3 = 13 + 3 = 16 +3 =19 + 3 = 22
What is the next term of the arithmetic sequence?
-7, -5, -3, -1, 1,
-3=?-11 Find the missing value.
Answer:
?=8
Step-by-step explanation:
I substituted the ? for x
-3=x-11
first we want to isolate the x to do that, you have to find a way to move -11 to the other side. Well, x+0=x right? So all we have to do is find a way to go from -11 to 0! In this case you add 11 to both sides. This is very important so don't forget.
-3=x-11
+11 +11
-3+11=8
x=8
If you check your work, this should also go back in perfectly.
-3=8-11
or
-3=-11+8
I hope this helps!
Have a good day!
Plssssssssssssss help
Answer:
4x-4
Step-by-step explanation:
6x- 2x=4x
-5+1=-4
4x-4
PLEASE HELP!!!! WILL MARK CROWN!!
if a car can drive 25 miles a gallon and you need to drive 1,228 miles how much would it cost with the price of gas as it is now?
Answer:200.9
Step-by-step explanation:
im right
3х + 4 = 14
х = 2y - 12
Answer:
(-2, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = 14
x = 2y - 12
Step 2: Solve for y
Substitution
Substitute in x: 3(2y - 12) + 4y = 14Distribute 3: 6y - 36 + 4y = 14Combine like terms: 10y - 36 = 14Isolate y term: 10y = 50Isolate y: y = 5Step 3: Solve for x
Define equation: x = 2y - 12Substitute in y: x = 2(5) - 12Multiply: x = 10 - 12Subtract: x = -2Let f(k) = 7k6 + 6k - 10 and g(k) = -366 - 7k + 1. Find the difference (f - g)(k).
Correct question is;
Let f(k) = 7k^(6) + 6k - 10 and g(k) = -3k^(6) - 7k + 1. Find the difference (f - g)(k).
Answer:
(f - g)(k) = 10k^(6) + 13k - 9
Step-by-step explanation:
We are given;
f(k) = 7k^(6) + 6k - 10
g(k) = -3k^(6) - 7k + 1
Thus;
(f - g)(k) = 7k^(6) + 6k - 10 - ( -3k^(6) - 7k + 1)
(f - g)(k) = 7k^(6) + 6k - 10 + 3k^(6) + 7k - 1)
(f - g)(k) = 10k^(6) + 13k - 9
I have 12 brownies in a pan. If my friends ate 3/4 of the brownies, how many brownies did they eat?
Answer:
9
Step-by-step explanation:
3/4 of 12 is 9
Please Help!!Which is the set of whole numbers between ten and fifteen? Responses A. {12, 14} B. all real numbers C. {11, 12, 13, 14} D. null set
Whats the error? Tanya says that the product of a multiple of ten and a multiple of ten will always have only one zero. Is she correct? Explain.
No. A multiple of ten and a multiple of ten will always have at least 2 zeros.
Two people are pulling on a rope in order to get a 2250-kg car out of a mud puddle. One person pulls with a force of 600 N and the other pulls with a force of 800 N. There is a resistive frictional force of 1200 N. Use the acceleration found in the previous question to determine the distance they would pull the vehicle in 25s (answer with 2 digits, include properly abbreviated units) *
Answer:
Assuming both people are pulling in the same direction, the net force on the car is, according to Newton's second law,
600 N + 800 N - 1200 N = (2250 kg) a
Solve for the acceleration a :
200 N = (2250 kg) a
a = (200 N) / (2250 kg)
a ≈ 0.0889 m/s/s
Step-by-step explanation: I hope this helps!
Which exponential equation is equivalent to log311=a?
Answer:
[tex]3^{a}[/tex] = 11
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex] , so
[tex]log_{3}[/tex] 11 = a ⇒ 11 = [tex]3^{a}[/tex]
Estimate the length of the line segment to the nearest tenth of a unit ( each grid square is 1 square unit).
By using the Pythagorean theorem, we conclude that the length of the segment is 3.2 units.
How to estimate the length of the segment?
We want to find the length of the graphed segment. In the grid, we can see that the horizontal displacement between the two ends measures one unit, and the vertical displacement measures 3 units.
So the length can be tought as the hypotenuse of a right triangle whose legs measure one unit and 3 units.
By using the Pythagorean theorem, we can find that lenght L by.
L^2 = 1^2 + 3^2
Now, if we apply the square root in both sides we will get:
L = √(1^2 + 3^2) = √(1 + 9) = √10 = 3.2
We conclude that the length of the segment is 3.2 units.
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200- 6 - (-3)
200 - (-2)
Answer:
200 - 6 - (-3) = 197 200 - (-2) = 202
(-1,4)(2,-5), (-3,2)(3,0) parellel or perpendicular
Answer:
Perpendicular
Step-by-step explanation:
These lines don't run with each other, and instead, cross paths.
PLS ANSWER ASAPThe function f(x) = 4x + 10 models the amount of money Francis makes
when babysitting for x hours. How much money will he make for 2 hours of
babysitting work?
018
0 -3
2
02
Answer:
A 18
Step-by-step explanation:
f(x) = 4x + 10
f(2) = 4(2) + 10
f(2) = 8 + 10
f(2) = 18
18 money will he make for 2 hours of babysitting work
What is a function?A relation is a function if it has only One y-value for each x-value.
Given,
function f(x) = 4x + 10
The function models the amount of money Francis makes when babysitting for x hours.
We need to find the money he make for 2 hours of babysitting work.
To find this we just need to plug in x value as 2 in function
f(2)=4(2)+10
=8+10
18
Hence, 18 money will he make for 2 hours of babysitting work
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