[tex]\bold\green{y = -}[/tex][tex] \green{\tt \dfrac{5}{9}x + 2} [/tex]
What is the slope of the line that passes through the points (2,-5) and (-6,4) ?
Multiple Choice Answers
A. -1/8
B. -9/8
C. -1
D. -3/2
Answer: B. -9/8
Step-by-step explanation:
About 50 out of 100 young adults between the ages of 18 and 24 drink coffee. Write this ratio as a percent.
Provide your answer below:
Answer: 50% of young adults between the ages of 18 and 24 drink coffee
Step-by-step explanation:
50/100= 50% of young adults between the ages of 18 and 24 drink coffee
Answer: 50%
Step-by-step explanation:
To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. Create a diagram to represent the quantities of each ingredient in this recipe.
what are all values of x for which the series shown converges?
Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}[/tex]
We can write this as:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}[/tex]
If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:
[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}[/tex]
Then we have the inequality
[tex]1 > (x - 2)/3[/tex]
And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.
ASAP PLZ
Which of the following is a conditional statement?
I will eat anything that is dipped in chocolate.
Chocolate can be white or brown.
I like chocolate.
Chocolate chip cookies are the best kind.
Answer:
im pretty sure its the first
Step-by-step explanation:
Which of the following terms describes the 3 in the expression 3x+7
Answer:
3
Step-by-step explanation:
what is f(x) = 2/3x - 1? when x = 2
Answer:
f(2) = 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
f(x) = 2/3x - 1
x = 2
Step 2: Evaluate
Substitute in x: f(2) = 2/3(2) - 1Multiply: f(2) = 4/3 - 1Subtract: f(2) = 1/3w pewnym trapezie o wysokości 6cm jedna z podstaw ma długość 9cm ,a druga jest od niej o 2cm krótsza . Pole tego trapezu wynosi:
Odpowiedź:
48 cm
Wyjaśnienie krok po kroku:
Jeśli się uwzględni:
Wysokość trapezu = 6 cm
Długość podstaw:
Podstawa 1 = a = 9 cm
Podstawa 2 = b = (a - 2) = 9 - 2 = 7 cm
Uaing relacji:
Powierzchnia trapezu = 1/2 (a + b) * h
Powierzchnia trapezu = 0,5 (9 + 7) * 6
Powierzchnia trapezu = 0,5 (16) * 6
Powierzchnia trapezu = 8 * 6
Powierzchnia trapezu = 48 cm
-2(3x - 1) = -6x -1 does it have one Solution, no Solution, or infinite Solutions
Answer:
None
Step-by-step explanation:
On interval 0 ≤ x < 2π, where are the x-intercepts of y = cos(2x)?
StartFraction pi Over 2 EndFraction and StartFraction 3 pi Over 2 EndFraction
0, π, and 2π
StartFraction pi Over 2 EndFraction, pi and StartFraction 3 pi Over 2 EndFraction
Answer:
Its B
Step-by-step explanation:
Got it right on the test
Answer:
The answer is B
Step-by-step explanation:
Edge 2021
What is the image of (−4,−12) after a dilation by a scale factor of 1/4 centered at the origin?
Answer:
It would be (-1,-3)
Step-by-step explanation:
All you have to do is divide your point by 4, since it's a fractions. If it's not, multiply.
-4 / 4 = -1
-12 / 4 = -3
Simplify the expression:
(-4 + v)(3) - =
Answer:
-12 + 3v Is the answer
Hope this helps :)
You stand 20 ft from a bottle rocket on the ground and watch it as it takes off vertically into the air at a rate of 18 ft/sec. Find the rate at which the angle of elevation from the point on the ground at you feet and the rocket changes when the rocket is 40 ft in the air. At the moment the rocket is 40 ft in the air, the angle of elevation is changing at a rate of rad/se.
Answer:
9/50 rad/sec
Step-by-step explanation:
let the angle be represented as ∅
distance form bottle rocket on the ground = 20 ft
height of rocket = 40 ft
solution
first we differentiate w.r.t.time
= sec²(∅)*(d(∅)/dt))=(1/20)*dh/dt --------- ( 1 )
= d(∅)/dt = (1/20)cos²(∅)* (dh/dt) ------- ( 2 )
note : 1/sec(∅) =cos(∅)
therefore ; dh/dt = 18 ft/sec
applying Pythagoras theorem
Tan ∅ = 40 / 20
h^2( hypotenuse ) = a^2( height ) + b^2 ( distance from bottle rocket )
h = √ 40^2 + 20^2 = √ 2000
also cos ( ∅ ) = b / h = 20 / √ 2000
hence cos²∅ = 1/5
Back to equation 2
d(∅)/dt=(1/20)×(1/5)×(18)
= 18/100 = 9/50 ( changing rate of angle of elevation )
Need Help this is my test! I will mark you as brainliest if you answer!!!
The relationship between the number of hours traveled and the number of miles traveled on a
family road trip is graphed below.
750
15. What is the ratio of hours to miles?
675
600
525
16. How many miles could the family travel
in a period of 12 hours?
450
MILES
375
300
17. About how many hours will it take the family
to travel 700 miles?
225
150
75
Maneuvering the Middle LLC, 2015
1
2
8 9
3 4 5 6 7
TIME (HOURS)
Answer:
15) The ratio of hours to miles is 1 hour to 75 miles; 1/75
16) They will have traveled 900 miles.
17) It will take them around 9 hours.
Step-by-step explanation:
15) Finding the unit rate of the trend (which in this case I considered to be line) can be done by finding the slope and simplifying it. There is a constant linear slope in this graph so it was evident that as the x-values increased by 1, the y-values increased by 75. All you had to do was convert the values into ratio form which would be 1/75. The 1 should remain "numerator" and the 75 as denominator because it is the hour-to-mile ratio (the units were listed in thw instructions in the chronological order in which they were to be answered in ratio form; 1 hour to 75 miles).
16) You can set up an equivalent-ratios equation. Because we know that the unit ratio is 1 hour to 75 miles, and we were given the value of 12 hours, we can set up the equation like this: 1/75=12/x. I would then multiply the 75 miles by 12 so that the ratios will be proportionate. This gives me 900 miles. Now I know, based on the ratio 12 hours to 900 miles (12/900), that if the family travels for 12 hours, they will have traveled 900 miles.
17) We can do the same thing as we did in number 16. We just have to switch the value we use in the second ratio. This means that the equivalent-ratios equation will look like 1/75=x/700, because 700 miles is our given value as opposed to a value with a unit of hours, and miles are the denominators in these ratios. Now we have to see how many times 75 goes into 700 to figure out what to multiply the 1 by to get our proportionate ratios. We have to divide 700 by 75 which is roughly 9 (rounded down from 9.3). The ratio now reads: 1/75=9/700. This means that it will take the family around 9 hours to drive 700 miles (9 hours to 700 miles was the ratio).
What is 3/4 divided by 1/8? Express your answer in the simplest form.
Answer:
6
Step-by-step explanation:
2+2=?
Please I need help
Answer:
2+2=4
Step-by-step explanation:
if you are satisfied with the results then plz make me genius
Answer:
22?? put them together :)
What is the slope in the following table?
-2
-1/2
2
1/2
A student said that since –9 is less than 4, then |–9| is less than |4|. Is the student correct? Explain why or why not.
Answer:
The student is incorrect because I I or absolute value would make the -9 to positive 9.
Step-by-step explanation:
-9<4
on a numberline
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
but the absolute value of -9 (or) |–9|
is actually positive 9
9>4
on a number line
4 5 6 7 8 9
30 is 2/3 of what number
Answer:45
Step-by-step explanation:
Key Word:of
30*2/3 = 45
Answer:
Step-by-step explanation:
let the number be x.
then,
2/3 of x = 30
=> 2/3x = 30
=> x = 30 × 3/2
=> x = 45
so, the required number is 45 .
hope it helps...!!!
The two binomials (3x - 4) and (2x - 3) are the factors of which polynomial?
A. 6x2 - 17x + 12
B. 5x - 14% - 7
C. -23x2 + 12
D. 6x2 - 14x + 7
Pls help:)
Answer:
A. 6x^2-17x+12
Let g (2) = 22 – 5 and h (2) = 22 +1.
Find (g+h) (2)
Answer:
23 + 17 = 40 :)
By substituting
[tex]a = {2}^{x} [/tex]
solve the equation
[tex] {4}^{x} + 3 = {2}^{x + 2} [/tex]
can someone help me solve this question please
The diameter of a circle is 12 inches. What is the circle's circumference?
Use 3.14 for .
The circumference of the given circle is approximately 37.68 inches.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
Given that the diameter of the circle is 12 inches, we can substitute this value into the formula:
The circumference of a circle can be calculated using the formula:
Circumference = π × diameter
Circumference = 3.14 × 12
Circumference = 37.68 inches
Therefore, the circumference of the circle is approximately 37.68 inches.
Learn more about the Circumference of the circle here:
brainly.com/question/19794723
#SPJ2
Which statement about these triangles is true?
Answer:
It's the last one
I hoped that helped
question is in the picture pls help me. much appreciated
PLZ HELP if u know the amswer
Answer:
The correct answer is the last option (d.)
Step-by-step explanation
Select the correct answer from each drop-down menu.
What type of risk applies to an investment in Treasury bonds?
The risk that the value of the Treasury bond will diminish over time if the value of the dollar decreases, or buys less than it used to, is
called
government to repay the bond.
v risk. Treasury bonds are seen to have no
vrisk because theyre backed by the promise of the US
Answer:
The first drop down is Inflationary and the second drop down is Credit.
Step-by-step explanation:
(-15x^5-6x^3) / (-3x) =
Answer:
x2= 0
Step-by-step explanation:
Answer:
[tex]45x^{6} + 18^{4}[/tex]
Step-by-step explanation:
i hope this helps
What is the value of n in this expression?
(9^3)^12=9^n
a) 36
b) 15
c) 9
d) 4
Answer:
A. 36
Step-by-step explanation:
[tex]9^{3*12} =9^{36}[/tex]
You multiply the the exponent
Proportions 6. A certain salsa is made with 6 parts tomato and 2 parts bell pepper. How many cups of tomato should be combined with 1.5 cups bell pepper? Write a proportion, then solve.
Answer:
4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.
Step-by-step explanation:
Given that the salsa is made with 6 parts tomato and 2 parts bell pepper.
Let t be tomatoes and b be bell peppers
The proportion will be:
t:b
The ratio of tomatoes to bell pepper will be:
6:2
This ratio simplifies to 3:1
This means no matter how much more the tomatoes and peppers are, the simplified ratio will be same.
Now the bell peppers are 1.5 cups then the proportion will be:
[tex]t:b::t:b\\6:2::t:1.5\\\frac{6}{2} = \frac{t}{1.5}\\3 = \frac{t}{1.5}\\t = 1.5 * 3\\t =4.5[/tex]
Hence,
4.5 cups of tomatoes should be combined with 1.5 cups of bell peppers.