A 5 foot tall student casts a shadow that is 8 feet long. A 12.5 foot flag pole close by casts a shadow with an unknown length, s. What is the length of the flag pole’s shadow, s?
Answer:
15.5
Step-by-step explanation:
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Answer:
3 1/2 miles each practice
Step-by-step explanation:
Answer:
3 1/2
Step-by-step explanation:
helpp
2^2 - (2)(-2) - (-2)^2
Answer:
4
Step-by-step explanation:
2^2 - (2)(-2) - (-2)^2
=4+4-4
=4
2² - (2 × -2) - (-2²)
= 4 - (-4) - 4
= 4 + 4 - 4
= 8 - 4
= 4
Solve each equation mentally for x.
5/2 • x = 1
Your answer must be in the form of a fraction.
You need to get x by itself to solve
So to get rid of 5/2, you need to multiply both sides by the reciprocal or 2/5...
5/2*2/5 = 1 which we don't write and 1*2/5 = 2/5
So now you'd have x =2/5
If g(x) = 2x2 + 6x + 5, use synthetic division to find g(-5).
=================================================
Explanation:
Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).
Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.
As a way to check the answer, we can say
g(x) = 2x^2 + 6x + 5
g(-5) = 2(-5)^2 + 6(-5) + 5
g(-5) = 25
So the answer is confirmed.
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
The third side is 3√6 units.
Step-by-step explanation:
Given that this is a 90° triangle so you can apply Pythagoras Theorem :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]
[tex] {a}^{2} = 90 - 36[/tex]
[tex] {a}^{2} = 54[/tex]
[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]
just use theorem pythagoras
y + 2/5y whats is its equivalent expression
Answer:
(7 y)/5 I think...
Step-by-step explanation:
Timothy is sorting his building blocks into 8 bins. Each bin can hold 286 blocks. He has already put 74 blocks in the bins. How many more blocks does Timothy need to sort?
Answer: 2214 blocks
Step-by-step explanation:
From the question, we are told that Timothy is sorting his building blocks into 8 bins and that each bin can hold 286 blocks. Therefore, the total blocks that the bins would hold would be:
= 286 × 8
= 2288 blocks.
We are further told that he has already put 74 blocks in the bins. The number of remaining blocks that Timothy need to sort would be:
= 2288 - 74
= 2214 blocks
Graph the rational function f of x equals quantity 2 times x minus 3 end quantity divided by quantity x plus 4 end quantity.
A rational function is graphed in the first quadrant, and in the third and fourth quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals 4.
A rational function is graphed in the second quadrant, and in the first and third quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals negative 4.
A rational function is graphed in the second quadrant, and in the fourth quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals 1.
A rational function is graphed in the first quadrant, and in the third quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals negative 1.
Answer:
A The answer is A
Step-by-step explanation:
A child has 60 total coins. There are ten times as many nickels as there are quarters (q) and twelve more dimes than quarters. Write an equation to represent this situation
Answer:
10q+q+(12+q)=60
Which of the following statements about air masses is true?
A.
Air masses maintain the same moisture and temperature as they move over new areas.
B.
Air masses are areas of condensed water vapor, which are also known as clouds.
C.
Air masses are responsible for creating holes in the ozone layer.
D.
Air masses are created by patterns of heating and cooling of the Earth's surface.
Air masses are created by patterns of heating and cooling of the Earth's surface. Therefore, option D is the correct answer.
Air masses are large bodies of air that move over the Earth's surface. They are created when large amounts of air are heated and cooled in different areas of the Earth. As the air masses move, they maintain the same moisture, temperature, and other characteristics they had when they originated. Air masses are responsible for many of the weather patterns we experience on Earth.
Therefore, option D is the correct answer.
Learn more about the air masses here:
https://brainly.com/question/29907083.
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Audrey and chase are 22.5 miles apart on a path when they start moving towards each other. Chase friends and a constant speed of 6 mph, in Audrey works at a constant speed of 3 mph. How long does it take onto chase and Audrey meet?
Answer:
4 is a great place to be your
Step-by-step explanation:
I am not it 4455rrfrt9999999999 forver rip juice wrld
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Answer:
-6 > -x
Step-by-step explanation:
2 < -x/3
Multiply both sides by -3. Flip the sign because we are multiplying by a negative.
Solution:
-6 > -x
PLEASE ANSWER ASAP THANKSSS :)
Sal wants to know if he has enough money to buy 4 gallons of gas. If he has $15, and each gallon of gas costs $3.29, which is a good estimate for whether Sal will be able to afford 4 gallons of gas?
$3 + $3 + $3 + $3 = 12, so Sal can afford the gas.
$4 + $4 + $4 + $4 = 16, so Sal can afford the gas.
$3 + $3 + $3 + $3 = 12, so Sal cannot afford the gas.
$4 + $4 + $4 + $4 = 16, so Sal cannot afford the gas.
Answer:
The first one ( $3 + 3 + 3 + 3 = 12, so Sal can afford the gas. )
Step-by-step explanation:
I need help with this. This is a test so please answer is correctly!!!
Answer:
4 batches
Step-by-step explanation:
just took the quiz can i have Brainliest pls
Answer:
4 batches
Step-by-step explanation:
Solve the inequality. −2x<18
Answer:
x=- 9
Step-by-step explanation:
hope it helps mark me as brainliest thank you
Yes, because each input has an output.
Yes, because 3 has one output.
No, because 1 has two inputs.
No, because -2 has two outputs.
Answer:
no because -2 has two outputs
Increase £2123 by 8%
Give your answer rounded to 2 DP.
Answer:
2292.84
Step-by-step explanation:
2x+4x -17y
I need the answer please
Answer:
6x-17y
Step-by-step explanation:
2x+4x-17y
6x-17y
PLEASE HELP ME on #57 WITH ALL WORK SHOWN!!
Tmr is my exam pls help...
=========================================================
Explanation:
Recall that quadratic form is ax^2+bx+c.
So we need an x^2 term followed by an x term, then a constant at the end.
It may not look it, but the given equation is nearly in quadratic form.
Rewrite 9^(2x) as (9^x)^2
We get this equivalent equation (9^x)^2 - 2*(9^x) - 3 = 0
From here, let's make w = 9^x. Replace every copy of '9^x' with 'w' and we end up with this new simpler equation: w^2 - 2w - 3 = 0
From here we can use the quadratic formula or factor. I'll factor.
w^2 - 2w - 3 = 0
(w - 3)(w + 1) = 0
w-3 = 0 or w+1 = 0
w = 3 or w = -1
---------------------
Now we use these values of w to find x
If w = 3, then,
w = 9^x
3 = 9^x
log(3) = log(9^x)
log(3) = x*log(9)
x = log(3)/log(9)
x = log(3)/log(3^2)
x = log(3)/(2*log(3))
x = 1/2
At the last step, we have the log(3) terms cancel.
Repeat for w = -1
w = 9^x
-1 = 9^x
log(-1) = log(9^x)
We run into a problem. The log of any negative number is not a real number output. In other words, 9^x is never negative. Raising any positive number to a real number output leads the result to be positive. Take a look at the graph of y = 9^x to confirm this.
In short, w = -1 is extraneous so it doesn't lead to any x value solution.
So only w = 3 is useful.
Ultimately, the only solution is x = 1/2.
Equation of the Line
Lesson
I
After going through this lesson, you are expected to find the equation of a
line given (a) two points, (b) the slope and a point and (c) the slope and its
intercepts
From the given linear equation, we can determine 2 points that will satis-
fy the equation. Also we can determine the slope and the y- intercept so as the
x and y intercepts.
Example: Given - 2x + y = 6
Find: a. two points that will satisfy the equation
(b) slope and y-intercept
(c) x and y intercept
Solution:
(a) -2x + y = 6
If x = -1
If y = 2
-21-1) + y = 6
- 2x + 2 = 6
2 + y = 6- y = 4
-2x = 4-x= -2
The point is (-1,4)
The point is (-2, 2)
(b) Change the equation to slope intercept form : y = 2x + 6
Therefore the slope m = 2 and the y-intercept b = 6
(c) Find the and y intercept of -2x + y = 6
Let x = 0, -2(0) + y = 6; y = 6. the intercept is (0,6)
Let y = 0, -2x + 0 = 6; -2x = 6, X = -3, the y intercept is (-3,0)
Learning Task 1 : From the given equation of the line a) find two points that will
satisfy the equation, b) the slope and the y intercepts and c) the x and y-
intercepts.
2.
3y - X9
1. 3x + 2y = 5
9514 1404 393
Answer:
a) (0, 5/2), (5/3, 0)
b) m = -3/2; b = 5/2
c) (5/3, 0), (0, 5/2)
Step-by-step explanation:
Given:
3x +2y = 5
Find:
a) two points that satisfy the equation
b) slope and y-intercept
c) x-intercept
Solution:
Since the intercepts are points on the line, finding them satisfies all parts of the question except finding the slope.
a) Let x=0. Then we can find y from ...
3·0 +2y = 5
y = 5/2
One point is (0, 5/2).
Let y=0. Then we can find x from ...
3x +2·0 = 5
x = 5/3
Another point is (5/3, 0).
Two points on the line are (0, 5/2) and (5/3, 0).
__
b) The slope can be found using the slope formula on the two points we found.
m = (y2 -y1)/(x2 -x1)
m = (0 -5/2)/(5/3 -0) = -(5/2)/(5/3) = -3/2
The slope is -3/2. The y-intercept is 5/2.
__
c) The x- and y-intercepts are (5/3, 0) and (0, 5/2), respectively.
Solve for x:
3x – 2 (5 – x) = 30
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3x - 2(5 - x) = 30
Step 2: Solve for x
Distribute -2: 3x - 10 + 2x = 30Combine like terms: 5x - 10 = 30Isolate x term: 5x = 40Isolate x: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8) - 2(5 - 8) = 30Multiply: 24 - 2(5 - 8) = 30Subtract: 24 - 2(-3) = 30Multiply: 24 + 6 = 30Add: 30 = 30Here we see that 30 does indeed equal 30.
∴ x = 8 is the solution to the equation.
What dividend is represented by the synthetic division below?
Answer:
the dividend is 2x^3 + 10x^2 + x + 5
Step-by-step explanation:
I took the test and I got a 100%
Answer:
the dividend is 2x^3 + 10x^2 + x + 5
Step-by-step explanation:
A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking.
P(purple) =
p(white)=
p(not blue)=
A ball Is dropped from a height of 100'. The height of the ball can be determined using the equation h = -16t^2+ 100, Where H is the height, in feet, and T is the time in seconds. If age equals 0 Kama find all the values of T and determine whether the values are reasonable for this solution
Answer:
2.5secsStep-by-step explanation:
Given the height of the ball modeled by the equation h = -16t^2+ 100, where
h is the height
t is in seconds
We can find the time taken by the ball to reach the ground.
The ball reaches the ground when the height h = 0
Substitute h = 0 into the equation and find t;
0 = -16t^2+ 100
16t^2 = 100
t^2 = 100/16
t = √100/16
t = 10/4
t = 2.5secs
Hence the ball reaches the ground after 2.5secs
6. Which graph best represents the solution set of y>3 x-4?
The required graph of the solution to the given inequality y>3 x-4 has shown.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Given inequality,
y > 3x-4
Illustrating the above inequality on the coordinate plane, the yellow shaded region shows the solution of the given inequality y > 3x-4.
Thus, the required graph of the solution to the given inequality y>3 x-4 has shown.
Learn more about inequality here:
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Which of these investments are intended to collect dividends as income?
bonds
real estate
savings account
stocks
Answer:
stocks
Step-by-step explanation:
Stocks are the type of investment that are intended to collect dividends as income, mainly referred to as dividend stocks. Companies pay these dividends to investors who hold stocks from their company and these dividends are usually paid out quarterly, meaning four payments per year. The other options provided provide forms of passive income but they are not considered dividend payments.
6x + 3y = 33
4x + y = 15
HURRRY FIRST GETS BRAINLIESTTTT
Answer:
B) one function has a higher rate of change
Step-by-step explanation:
I used process of elimination
A) one function is linear are the other is non linear:
False, because they are both lines.
C) one function has a higher starting value
False, because they both start at 0
D) they are both the same function
False, because one has a steeper slope than the other one
Need help asap not really good with these types of questions
Step-by-step explanation:
AC = AD result : given (Side congruence)
CB = DB result: given (Side congruence)
AB =AB result : reflexive property (side congruence)
ACB=ADB (SSS)