Answer:
"mix 1 cup of vinegar with 1 gallon of water"
1 cup = 8oz; 1/4 cup = 2oz
You can see that the amount of vinegar is 1/4 of the original amount,
so, we will need 1/4 of the amount of water, which is 1gallon = 128oz
so, 1/4 times 128oz = 32oz, which is one quart
Algebraically, 8oz : 128oz = 2oz : x
8x = 256; x = 32oz
HELP PLEASE Which expression is equivalent to:
21 V³ 15- 9V³15
= (21-9)V³15
= 12V³15
If f ( 1 ) = 2 f(1)=2 and f ( n ) = f ( n − 1 ) 2 − 5 f(n)=f(n−1) 2 −5 then find the value of f ( 4 ) f(4).
[tex]f(1) = 2\\f(2)=f(2-1)^2-5=(f(1))^2-5 = 2^2-5 = -1\\f(3) = f(3-1)^2 - 5=f(2)^2-5=(-1)^2-5=-4\\f(4) = f(4-1)^2-5 = f(3)^2-5 = (-4)^2-5 = 11[/tex]
so f(4) = 11
Hope that helps!
Answer:
f(4) = 11
Step-by-step explanation:
Given :
base function ⇒ f(n) = f(n - 1)² - 5f(1) = 2Solving :
f(2) = f(1)² - 5f(2) = 2² - 5 = 4 - 5 = -1f(3) = f(2)² - 5f(3) = (-1)² - 5 = 1 - 5 = -4
f(4) = f(3)² - 5f(4) = (-4)² - 5f(4) = 16 - 5 = 11
Find the sum of these polynomials. (2x^2+x+3)+(3x^2+2x+1)
Answer:
5x²+3x+4
Step-by-step explanation:
(2x²+x+3)+(3x²+2x+1)
add 2x² and 3x² since they're like terms
5x²+x+3+2x+1
add 2x and x = 3x
5x²+3x+3+1
add 3 and 1 = 4
5x²+3x+4
Jack hit a baseball on 13 out of 30 tries during practice. what is the experimental probability that he will hit the ball on his next trial write your answer as a fraction as a decimal and as a percent
Answer:
Fraction: 13/30
Decimal: 0.43
Percentage: 43%
IMAGE IS DOWN BELOW!!
SOMEONE PLEASE HELP ME!!
ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!
Answer:
14.3 Cm
Step-by-step explanation:
Step 1: A^2+B^2=C^2
Step 2: 3^2+14^2=C^2
Step 3: 9+196=C^2
Step 4: 205=C^2
Step 5: 14.3=C
Find the m < VXW down below
Answer:
Step-by-step explanation:
Suppose that a classmate asked you why (2x + 112 is not (4x² + 1). What is your response to this classmate?
O A. An expression such as (2x + 1)2 is called the square of a monornial. The expression (2x + 1)2 is equal to (22• 2xX1. 1), thus it is not equivalent to
(4x2 +1)
B. The classmate is correct. An expression such as (2x + 1)2 is called the square of a binomial. The expression (2x + 1)2 is equal to (2)?(x} = (132, thus it is
equivalent to (4x + 1)
OC. An expression such as (2x + 1)2 is called the square of a binomial. The expression (2x + 1)2 is equal to (2x+ 1x2x + 1), thus it is not equivalent to
(4x + 1)
OD. An expression such as (2x + 1)2 is called the product of the sum and difference of two terms. The expression (2x + 1)2 is equal to (2x+ 1(2x - 1), thus it is
not equivalent to (4x2 + 1)
+
The given expression is the square of a binomial, such that:
(2x + 1)^2 = 4x^2 + 4x + 1
Then the correct option is C.
Are the expressions equivalent?We want to see if:
(2x + 1)^2
Is equivalent to (4x^2 + 1).
First, this is false, let's prove that.
We have the square of a binomial (2x + 1)^2. Remember the general formula:
(a + b)^2 = a^2 + 2ab + b^2
So if we apply this to our expression we get:
(2x + 1)^2 = (2x)^2 + 2*2x*1 + 1^2 = 4x^2 + 4x + 1
Then, the correct option is C.
If you want to learn more about binomials, you can read:
https://brainly.com/question/15246027
18, 6, 2, ...
Find the 7th term.
Answer:
2/81
Step-by-step explanation:
Firstly find out the common ratio.
And then the general term.
And at last you can find any term(7th term in this case).
The 7th term of the sequence will be 13122.
What is a geometric sequence? What is a expression? What is a mathematical equation?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. The nth term of the sequence will be a[n] = arⁿ ⁻ ¹.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.We have the following sequence -
18, 6, 2 ...
The nth term of the geometric sequence will be a[n] = arⁿ ⁻ ¹.
a[7] = 18 x 3⁶
a[7] = 18 x 9 x 9 x 9
a[7] = 13122
Therefore, the 7th term of the sequence will be 13122.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC
Step-by-step explanation:
The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC
HELP PLEASE!!!! Posting a lot of these for a lot of points!
Answer:
Step-by-step explanation:
Area of figure I = length *width
= 4 * 5
= 20 m²
Figure II is a trapzium.
a and b are the parallel sides. a = 21 m
b = 20 - 5 = 15 m
h = 3 + 4 = 7 m
[tex]\text{area of figure 2 = $\dfrac{(a + b)*h}{2}$}[/tex]
[tex]=\dfrac{(21+15)*7}{2}\\\\\\=\dfrac{36*7}{2}\\\\\\= 18*7\\\\= 126 \ m^{2}[/tex]
Area of the figure = 20 + 126
= 146 m²
Answer:
146 m²
Step-by-step explanation:
Formulae
Area of a rectangle = width x length
Area of a triangle = 1/2 x base x height
Divide the figure into 2 rectangles and a triangle (see attachment).
Area of Rectangle 1 = 4 x 5 = 20 m²
Area of Rectangle 2 = (3 + 4) x (20 - 5) = 105 m²
Area of triangle 3 = 1/2 x (21 + 5 - 20) x (3 + 4) = 21 m²
Total area = 20 + 105 + 21 = 146 m²
_ __
0.47 and 0.47 as simplified fractions
Answer:
Here is your answer
Step-by-step explanation:
What is 0.47 as a fraction? 0.47 as a fraction in simplest form is written as 47/100.
A fraction represents a part of a whole, written in the form of p/q where p and q are integers.
Here we will show you how to convert 0.47 decimal number to fraction form and as a mixed number with steps.
0.47 as a simplified fraction
47/100
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Answer:
47/100
Step-by-step explanation:
0.47 as a fraction in simplest form is written as 47/100.
Please mark me Brainliest
PLEASE HELP ASAP WILL MARK AS BRAINLIST
93. In 1939 a hamburger sold for 5¢, but a worker would only earn 30¢/h.
If in a later year, a hamburger sells for 85¢, how much would the
worker earn if earnings went up at the same rate?
Answer:
$5.10/h
Step-by-step explanation:
85/5 = 17
it increased 17 times, so did the worker
.30x17= $5.10
Write down the reciprocal of:5by8
to find the reciprocal just switch the numerator and the denominator.
= 8/5 ( 8 by 5 )
can a parking lot be built at angle K. why or why not
1) Advertisement XYZ Company charges $35 for the first four lines and $5.25 per extra
line to run the ad for one week. Jacqueline plans to sell her house and places a 15-line
ad.
a. What will Jacqueline's ad cost to run for one week?
b. What will Jacqueline's ad cost to run for four weeks?
Answer:
a) $92.75, b) $371Step-by-step explanation:
Let the cost be A.
a) Cost to run ad for one week:
A = 35 + 5.25 (15 - 4) = 35 + 5.25*11 = 92.75b) Cost to run ad for four weeks:
4A = 4*92.75 = 371Answer:
See below ↓↓
Step-by-step explanation:
Cost to run one week
$35 [first 4 lines] + $5.25 x 11 [15 - 4 = 11 remaining lines]$35 + $57.75$92.75Cost to run four weeks
Cost of one week x 4$92.75 x 4$368 + $3$371Solve for x in the image below.
At how many hours will blake earn the same amount in both jobs?
Answer: 6.15 you already solved it congrats
Step-by-step explanation:
you already equal both amount equations to each other therefore you are solving for the hours he gets equal pay
Carly has five times as many markers as camden together they have 30 markers how many markers does carly have how many markers does camden have
Answer:
carly=25 camden=5
Step-by-step explanation:
carly:camden= 5:1
5+1=6
30/6=5
carly= 5x5=25
camden=5x1=5
How do I solve this?
Answer:
f(-1)=2(-1)+5 = 3
f(2)=2(2)+5 = 9
f(0)=2(0)+5 = 5
2z+5
A teacher bought 12 sheets of stickers to use on the homework of her students. Each sheet had 48 stickers. At the end of the year, the teacher had 123 stickers remaining.
Estimate how many stickers the teacher used.
Answer:
453
Step-by-step explanation:
12×48=576 (number of stickers she has)
576-123=453 (number of stickers she had-number of stickers she had left)
pls help me to answer this
Answer:
hi! this is (insert your name) what does this sybol/mathematical term mean?
√
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
Greetings Mrs.(name here)!
I got my recent test back and I was wondering why this question was incorrect.
For #4, I was sure that you had to find the square root and then multiply by pi, but apparently that's not what some people did and they got it correct.
How do I properly do this question?
-*name here*
I really need help! Pls! I'd appreciate it! :) Here's the question...
A block of metal has a mass of 1000g and dimensions of 7.5 cm by 6 cm by 10 cm. Use this information to find the density of the metal block.
Solve for x. Leave your answer in the simplest form.
Image down below!
Please help! Brainlist and points
(I named the empty line y)
y²= 9²+5²
= 81+25
=106
y= V106
y≈10.30
x²= 4²+y²
= 4²+ (V106)²
= 16+106
=122
x≈11.05
Consider the linear equation y = 5x – 4.
1. Provide 3 ordered pairs that are solutions to this linear
equation.
2. Test the point (-5, -29) to see if it is a solution to the
linear equation.
Be sure to show all work.
Answer:
(0,-4), (2,6), and (4, 16) are solutions to this equation.
Yes the point (-5,-29) is a solutions
Step-by-step explanation:
(-5,-29) is a solution because if you plug in -5 for x, y will equal to the y in the ordered pair.
a) Three ordered pairs (0, -4), (2, 6), and (-3, -19) that are solutions to the linear equation y = 5x - 4.
b) We verified that the point (-5, -29) is a solution to the equation by substituting its x and y values and getting a true statement.
a. To find ordered pairs that are solutions to the linear equation y = 5x - 4, we can simply substitute different values of x into the equation and calculate the corresponding y-values.
Let's choose three different values for x and calculate the corresponding y-values:
When x = 0: y = 5(0) - 4 = -4
So, the ordered pair is (0, -4).
When x = 2: y = 5(2) - 4 = 6
So, the ordered pair is (2, 6).
When x = -3: y = 5(-3) - 4 = -19
So, the ordered pair is (-3, -19).
b. To test whether the point (-5, -29) is a solution to the linear equation y = 5x - 4, we need to check if substituting x = -5 into the equation gives us y = -29.
Let's do the calculation:
y = 5(-5) - 4
y = -25 - 4
y = -29
Since y = -29 when x = -5, the point (-5, -29) is indeed a solution to the linear equation.
To learn more about linear equation click on,
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How do you recognize a geometric sequence? Can you find terms within a geometric sequence using a formula?
Answer:
See step by step explanation
Step-by-step explanation:
To reconize a geometric sequence, the factor at which one number is greater than the previous number should always be the same
For example,
2,4,8,16,32,64,128,256,512,1024 is a geometric sequence since the next number is always greater than the previous number by a factor of 2
to find the n-th term in a sequence, we can use a formula.
Going back to the example, let's label each number with a term
to find the nth term of this specific sequence, we need to find two things
the first number of the sequence, and the factor at which this sequence increases at
the first number is 2, so n1 = 2
each term increases by a factor of 2 (2*2=4, 4*2=8, 8*2=16, 16*2=32, 32*2=64), so the factor is 2
the equation is:
(the initial term)*(the factor)^(the term number - 1)
so,
[tex]2*2^{n-1}[/tex] is our equation
We can check our equation by plugging in a number
looking back at our list, we see that the 7th term is 128
plug in 7 into out equation
[tex]2*2^{7-1}=2*2^6=2^1*2^6=2^7=128[/tex], so our equation works
Here's a practice problem
for the sequence 3,9,27,81,243,729, what is the factor which the sequence increases at? what's the initial number? what's the equation for this sequence?
a harder practice problem:
for the sequence 2,6,18,54,162,486, what is the factor at which the sequence increases at? what's the intitial number? what's the equation for this sequence? what's the 8th term of this sequence if it were to be continued?
Yes we can
the formula given to find the terms is
a_n=ar^n-1Where
a_n is n the terma is first termr is common ration is an positive integerhi, i am struggling to find this algebra 2 answer can anyone help? i am desperate and ill give you whatever u want
Use the two-way frequency table to calculate the probability that the person is a democrat, given the fact that the person supports the issue,
P(democrat supports the issue)
Answer:
23/58
Step-by-step explanation:
number of people that support the issue. (58)
start with that first because it is given
now find the number of democrats that are in that column which is 23
In a game, the suit and number of a card must be guessed while it is facedown. If the odds of guessing the suit correctly are 13/52 and the odds of guessing the number are 4/52, then what are the odds of guessing both the number and suit correctly?
Answer:
1/52.
Step-by-step explanation:
The suit AND the number must be correct.
When you see AND in a probability question think 'multiply'.
That would be 13/52 * 4/52
= 52/(52)^2
= 1/52.
When given the set of variables, solve for X
Answer: B
Step-by-step explanation:
Select all that apply.
Which pairs of angles are supplementary?
1 and 6
5 and 7
5 and 8
2 and 3
Answer:
1 and 6
5 and 7
Step-by-step explanation:
Supplementary angles are 180 degrees and so is a linear pair
1 and 6 add up to 180 degrees meaning they are supplementary. Angle 1 and angle 2 are a linear pair so 180-120=60 which is the degree of angle 1, angle 2 corresponds to angle 6, so angle 1 + angle 6 would equal 180 degrees. (120+60)
5 and 7 are a linear pair which automatically makes them supplementary
The others are vertical angles which don't add up to 180. (120+120=240)(60+60=120)