Answer:
-0.81 one is greater
Step-by-step explanation:
3y-z ; use y=6 and z=6
Answer:
12
Step-by-step explanation:
y = 6; z = 6
3y - z = 3(6) - 6 = 18 - 6 = 12
Answer:
12
Step-by-step explanation:
3y-z is asking 3 x 6 - 6, which equals 12
(3 x 6 = 18 and 18 - 6 = 12)
Question 1
Rationalise the denominator.
9
√7-2
Answer:
[tex]\displaystyle \frac{9}{\sqrt{7}-2}=3\sqrt{7}+6[/tex]
Step-by-step explanation:
Rationalizing the Denominator
Rationalizing the denominator means to get rid of any radicals in the denominator.
We use the conjugate of the denominator to rationalize. The conjugate of a binomial is obtained by changing the sign that is between the two terms while keeping the same order of the terms. For example, the conjugate of
[tex]\sqrt{7}-2[/tex] is [tex]\sqrt{7}+2[/tex].
We need to use the algebraic identity:
[tex](a-b)(a+b)=a^2-b^2[/tex]
Let's rationalize
[tex]\displaystyle \frac{9}{\sqrt{7}-2}[/tex]
Multiply numerator and denominator by the conjugate of the denominator:
[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9}{\sqrt{7}-2}\cdot\frac{\sqrt{7}+2}{\sqrt{7}+2}[/tex]
Operate in the numerator and apply the identity in the denominator
[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9(\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)}[/tex]
[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9\sqrt{7}+18}{(\sqrt{7})^2-2^2}[/tex]
[tex]\displaystyle \frac{9}{\sqrt{7}-2}=\frac{9\sqrt{7}+18}{7-4}=\frac{9\sqrt{7}+18}{3}[/tex]
Dividing:
[tex]\boxed{\displaystyle \frac{9}{\sqrt{7}-2}=3\sqrt{7}+6}[/tex]
Find the value of each variable in the parallelogram.
Answer:
m = 35, n = 110
Step-by-step explanation:
Opposite angles are congruent , then
2m = 70 ( divide both sides by 2 )
m = 35
Consecutive angles are supplementary, that is sum to 180° , so
70 + n = 180 ( subtract 70 from both sides )
n = 110
Twelve hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot and the guard travels at 56 mph by car, how far from the prison will the convict be caught by the guard?
LOOK AT THE PICTURE PLEASE HELP A GIRL OUT IM STUCK ON THIS QUESTION AND I DONT HAVE A LOT OF TIME!!
Answer:
How much time do i have?
Step-by-step explanation:
Answer:
I think it's B.) 2x² - 2x + 2
Step-by-step explanation:
I'm not going to explain because you don't have much time.
Mary uses 212 cups of lemonade concentrate to make 20 servings of lemonade. How many servings can Mary make using 1 gallon of lemonade concentrate? Please include an explanation :)
Answer:
number of servings = 1.5
Step-by-step explanation:
1 gallon = 16 Cups
cups of lemonade concentrate : lemonade servings
212 cups : 20 servings
How many servings can Mary make using 1 gallon of lemonade concentrate
Let
x = number of servings
cups of lemonade concentrate : lemonade servings
16 cups : x servings
Equate both ratios to get x
212 : 20 = 16 : x
212 / 20 = 16 / x
Cross product
212 * x = 20 * 16
212x = 320
x = 320 / 212
= 1.5094339622641
Approximately 1.5 servings
number of servings = 1.5
Simplify each exponential expression using the properties of exponent and match it to the correct answer
Answer:
Step-by-step explanation:
3^-3*2^-3*6^3 = 1
last one=2
2nd one =1/2
Answer:
I cant see your question clearly
Step-by-step explanation:
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Help please I don’t understand please ASAP
Answer:
Step-by-step explanation:
another isosceles
SOH CAH TOA
Cos(x)=Adj/ Hyp
Hyp*Cos(x) = Adj
30* Cos(45) = Adj
30* [tex]\sqrt{2}/2[/tex] = Adj
15*[tex]\sqrt{2}[/tex] = Adj ( both legs are the same )
Toy Universe is manufacturing a new toy and deciding on a price that will result in a maximum profit. The graph below represents profit (P) generated y each price of a toy (x).
**Graph is attached below (sorry the picture is bad quality)**
Part A: If the company wants to make a maximum profit, what should the price of a new toy be?
Part B: What is the minimum price of a toy that will produce profit for the company? Explain your answer.
Part C: Estimate the value of P(10) and explain what the value means in the problem and how this may be possible.
Part D: If the company wants to make a profit of $137, for how much should the toy be sold.
Part E:Find the domain that will only result in a profit for the company and find its corresponding range of profit.
Part F: The company owner believes that selling the toy at a higher price will result in a greater profit . Explain to the owner how selling the toy at a higher price will affect the profit.
Answer:
A: $6
B: $2.01
C: $0
D: $4.50 or $7.50
E: 0 ≤ x ≥ 10
F: The more expensive you make the toy then that will mean that less people will want to buy it for its high price.
Step-by-step explanation:
{Data Expunged}
***WILL MARK BRAINLEST***
Tiffany has crayons that she is going to melt down into a block. If each crayon has a diameter of .25 inches and a height of 3 inches, how many will she have to melt down to fill her block mold that has a volume of 6 in?? Don't include the tip of the crayon. Round your answer to the nearest whole number.
Answer:
40
Step-by-step explanation:
The volume of a cylinder is = to [tex]\pi[/tex][tex]r^{2}[/tex]h, so plug in the values and you get that each crayon has a volume of about 0.15 inches. 6/0.15 = 40. :)
If A pizza shop sells pizzas that are 10 inches (in diameter) or larger. A 10-inch cheese pizza costs $8. Each additional inch costs $1.50, and each additional topping costs $0.75.
Find the range of the function f(x) = 4x – 1 for the domain {-1, 0, 1, 2, 3}.
A. {-5, -3, 0, 7, 11}
B. {-5, -4, -3, -2, -1}
C. {-11, -7, -3, 1,5}
D. {-5,-1, 3, 7, 11}
Answer:
D
Step-by-step explanation:
f(-1) = -5, so C is incorrect
f(0) = -1, so D is correct
Five full creates of walnuts weigh 195 pounds, whereas an empty crate weights 10 pounds. How much do walnuts alone weigh?
Answer:
90
Step-by-step explanation:
Which of the following are polynomials
Answer:
I would think that 2x+3y+4 would be the answer.
Step-by-step explanation:
What is the simplified expression for
-3x2 + 5x + 2 - 1 - 7x + 3x2
Answer:
-2x + 1
Step-by-step explanation:
1: -3x^2 + 5x + 2 - 1 - 7x + 3x^2
2: (-3x^2 + 3x^2) + (5x - 7x) + (2 - 1)
3: 0 - 2x + 1
4: -2x + 1
Step 1: Given equation
Step 2: Group the terms with similar exponents together
Step 3: Add the terms together
Step 4: Simplify completely
Select the correct answer. For what value of x is sin x = cos 19º, where 0°< x < 90°? OA. 38° ° O B. 71° OC. 26° O D. 19°
Answer:
x = 71°
Option B is correct answer.
Step-by-step explanation:
We need to find for what value of x is [tex]sin\: x = cos 19^{\circ}[/tex], where 0°< x < 90°?
Solving:
[tex]sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}[/tex]
So, we get x = 71°
Option B is correct answer.
Let f(x)=e^x and g(x)=x+6. What is the domain and range of (GoF) (x)?
Answer:
Domain: Al real values
Range: All real numbers
Step-by-step explanation:
Let f(x)=e^x and g(x)=x+6. What is the domain and range of (GoF) (x)?
Given the functions'
f(x)=e^x and g(x)=x+6.
gof(x) = g(f(x))
g(f(x)) = g(e^x)
Substitute x with e^x in g(x) as shown:
g(f(x)) = e^x + 6
The domain s the input value of x for which the function exists. Accordinf to the expression, x exists on all real values. Since x exists on all real values, hence the output f(x) also exists on all real values
Simplify the following by combining like terms:
1y - 8xy + 7x - 5y + 4xy + 9x
Answer:
-4y-4xy+16x
Step-by-step explanation:
Hope this helps!! If you need it step by step I'll comment it in the comments.
The rectangles are similar. What is the value of y?
Answer:
y=9
Step-by-step explanation:
The rectangles are similar, so simply work with the ratios and divide to find the vaule of y.
60/4=15
36/4=9
How many times as great is 2x10^-8 is6x10^-3?
Answer:
300,000.
Step-by-step explanation:
6x10^-3 / 2x10^-8
= 3 x (10^(-3- (-8))
= 3 x 10^5
= 300,000
Can anyone help me understand?? I genuinely don’t understand. Thank you!
9514 1404 393
Answer:
y = (1/4)x^2 -x -4
Step-by-step explanation:
When you are given a focus and a vertex, the equation of a parabola can be written as ...
y = (1/(4p))(x -h)² +k . . . . . . vertex (h, k); focus-vertex distance p
Here, the vertex is (h, k) = (2, -5) and the focus-vertex distance is 1. That means the equation of the parabola in vertex form* is ...
y = (1/4)(x -2)² -5
Expanding this equation, we get ...
y = (1/4)(x² -4x +4) -5 = (1/4)x² -x +1 -5
Then the standard form equation is ...
y = (1/4)x² -x -4
_____
* In the UK, and perhaps other places, the vertex form is referred to as "standard form." You need to be aware of the form that is being requested here. I have answered using the US version of "standard form." YMMV
Fill in the blanks with '<'or'>?.
(a) 0.4 m
0.6 m
(b) 0°C
-4°C
(c) -2 °C
-2.5 °C
Answer:
See below.
Step-by-step explanation:
(a) 0.4 m < 0.6m
(b) 0°C > -4°C
(c) -2°C > -2.5°C
Explain or show - Describe how the graph of y=3x+1 is the same and different from the graph of y=3x+4. your reasoning YA a. How are they the same? b. How are they different? x c. Explain or show your reasoning: (Feel free to use graph paper if you'd like.)
Answer:
a.) they have the same slope
b.) they have different y-intersepts
c.) in the slope-intercept formula y = mx + b, m is the slope and b is the y-intercept. since the two equations have the same slope but different y-intercepts we can infer they are parallel.
Which statement explains how the lines x − y = 2 and y = x + 1 are related?
1. They are parallel.
2. They are perpendicular.
3. They are the same line.
4. They are not related.
Answer:
4, they are not related
Step-by-step explanation:
x - y = 2 and y = x + 1
x - y = 2
subtract x
-y = 2 - x
divide by the negative
y = -2 + x or y = x - 2
they are not related
Answer:
The Answer Is A) they are parallel
Step-by-step explanation: i took the test and it was right i hope i helped!
In a cookie jar containing 6 chocolate chip cookies, 8 wafer cookies and 10 double chocolate cookies, what is the probability that a person who isn't looking when they get a cookie will get a chocolate chip cookie?
Answer:
25% chance
Step-by-step explanation:
please help me please will give brainliest to anyone who is good
Answer:
D
Step-by-step explanation:
Number of days in school = 180-7 days missed = 173
Percent = Part/Whole x 100%
Percent = 173/180 x 100%
Percent = 96%
John's bank account had $1,320 at the end of November. In December, he bought $645 worth of
groceries and spent $225 on his mom's birthday present. Luckily, he earned $350 mowing lawns and $50
for good grades. How much money does John have at the end of December?
Answer:
850 but im not sure lol
Step-by-step explanation:
645 + 225 = 870
1,320 - 870 = 450
450 + 350 = 800
800 + 50 = 850
Solve for z.
Z/4 - 11= -9
Z=
Answer:
8
Step-by-step explanation:
z/4 - 11 = -9
z/4 = 2
z = 8
answers for the 3 boxes please
Answer:
-1/7
Step-by-step explanation: