Answer:
direct variation equation: y = 13/4x
y = -19.5 when x = -6
Step-by-step explanation:
y = kx where 'k' is the constant to proportionality
13 = 4k
k = 13/4
equation: y = 13/4x
plug in -6 for 'x' to find value of 'y'
y = 13/4(-6)
y = -19 1/2
A student examines the triangle shown above. He notices that lines BE andCD look parallel. The student claims that they are parallel by look aLone ?
The auditorium holds 200 people. Tickets cost $12 at the door and $8.50 if purchased in advance. The Honor Society has a goal of selling at least $1000 worth of tickets to the show.
Write a system of inequalities that can be used to model this scenario.
If 50 tickets are sold in advance, what is the minimum number of tickets that must be sold at the door so that the club meets its goal?
Answer:
they have to sell 575 tickets so they could reach their goal.
How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas?
A. 43 miles
B. 270 miles
C. 405 miles
D. 420 miles
Answer:D is the answer
Step-by-step explanation:
Jif peanut butter costs $3.29 for 16 oz. Skippy peanut butter costs $7.69 for 40 oz. Which is the better buy?
True or False, The value pi/12 is a solution for the equation 4 cos^2(4x)-3=0
Please explain
Answer:
Yes, π/12 is a solution.
Step-by-step explanation:
Calculator --> sin(π12)=sin15∘=0.26 . √2−√32=√0.272=0.522=0.26 . Uhmm... i dont rlly know how to explain it.. its complicated for me to word it without making it non confusing.
The statement 'The value [tex]\frac{\pi}{12}[/tex] is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
We have been given an equation [tex]4~cos^2(4x)-3=0[/tex]
We need to check whether [tex]\frac{\pi}{12}[/tex] is a solution for the equation.
Substitute [tex]x=\frac{\pi}{12}[/tex] in equation [tex]4~cos^2(4x)-3=0[/tex]
[tex]\Rightarrow 4~cos^2(4\frac{\pi}{12} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\pi}{3} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\sqrt{3} }{4} )-3=0\\\\\Rightarrow 4~\frac{3}{4}-3=0\\\\ \Rightarrow 3-3=0\\\\\Rightarrow 0=0[/tex]
This means, [tex]\frac{\pi}{12}[/tex] is a solution of the equation [tex]4~cos^2(4x)-3=0[/tex]
Therefore, the statement 'The value [tex]\frac{\pi}{12}[/tex] is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.
Learn more about the equation here:
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The vertices of a triangle are (3,5), (-7,4) and (10,-2) then, what are the coordinates of the point of intersection of 3 medians of triangle?
Answer:
Step-by-step explanation:
Step 1: Identify the coordinates of each vertex. Step 2: Add all the x values from the three vertices coordinates and divide by 3. Step 3: Add all the y values from the three vertices coordinates and divide by 3. Step 4: Determine the centroid coordinate.
11
Which correctly explains how to use place value and the distributive property to find the product of 742 and
Answer:
6678
Step-by-step explanation:
742 = 700+40+2
(700+40+2)*9 = 700*9+40*9+2*9 = 6300+360+18 = 6678
Answer:
D Write 742 as 700 + 40 + 2. Multiply each addend by 9. Then add the three products to get 6,678.
Step-by-step explanation:
I did the math >:3
sorry if it's wrong
7(p+q+9) pleaseee answer I need it done by today
Answer:
7p+7q+63
hope it helps.
Find the product (x^2-2x-4)(x^2-3x-5)
The chemical acidity of a solution is measured in units of pH: pH=-log[H+], where [H+] is the hydrogen ion concentration in the solution. What is [H+] if the pH=8.8?
Answer:
3.5
Step-by-step explanation:
The chemical acidity of a solution is measured in units of pH: pH=-log[H+], where [H+] is the hydrogen ion concentration in the solution. 1.58 x 10⁻⁹ is [H+] if the pH=8.8.
What do you mean by pH ?The term pH is defined as the negative logarithm of the [H+] hydrogen ion.
The isolated hydrogen ion, represented by the symbol H+, hence it is used to represent a proton. Because the bare nucleus can readily combine with other particles like electrons, atoms, and molecules, the hydrogen ion.
The formula for calculating [H+] hydrogen ion is as follows:
pH = - log[H+]
Given pH = 8.8
8.8 = - log[H+]
-8.8 = log[H+]
Taking Antilogarithm Both side
Antilog of [-8.8] = [H ]
By solving above expression [H+]
= 1.58 x 10⁻⁹
Thus, 1.58 x 10⁻⁹ is [H+] if the pH=8.8.
To learn more about the pH, follow the link;
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Hannah has a chicken coop with 6 hens. Let X represent the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table.
A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.
What is the median of the distribution?
3
3.5
4
4.2
Answer:
C:4
Step-by-step explanation:
From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t where t is the number of years since 1997.
Question
a) What is the decay factor?
b) What is the percent decrease?
c) Estimate the number of black and white TV's sold in 1999.
Answer:
a. Decay factor = 0.85
b. Percent decrease = 15%
c. 19.363 million TVs were sold
Step-by-step explanation:
Given
[tex]n = 26.8(0.85)^t[/tex]
Solving (a): The decay factor
An exponential function has the form
[tex]y = ab^x[/tex]
Where b is:
[tex]b = decay\ factor\ or\ growth\ factor[/tex]
By comparison:
[tex]b = 0.85[/tex]
Solving (b): Percentage decrease:
Percentage decrease P is calculated as follows:
[tex]P = 1 - b[/tex]
Substitute 0.85 for b
[tex]P = 1 - 0.85[/tex]
[tex]P = 0.15[/tex]
Convert to percentage
[tex]P = 0.15*100\%[/tex]
[tex]P = 15\%[/tex]
Solving (c): TVs sold in 1999
First, we need to determine the value of t for 1999
In 1997, t= 0
In 1998, t= 1
In 1999, t= 2
So, we substitute 2 for t in: [tex]n = 26.8(0.85)^t[/tex]
[tex]n = 26.8(0.85)^2[/tex]
[tex]n = 26.8*0.7225[/tex]
[tex]n = 19.363[/tex]
Henry Uploaded the photos birthday to a cloud storage system. He feels that it's a safe option for data storage. His friend suggested that there Maybe a disadvantage to cloud storage. Which disadvantage is Henry's friend referring to?
Answer:
Henry's friend referring to the disadvantage of Privacy.
Step-by-step explanation:
The main disadvantage of cloud storage is:
Your data is no longer in your physical storage while you are using a cloud service. So, who is responsible for ensuring that information is secure? This is a grey field which is still being worked out.
So, Henry's friend referring to the disadvantage of Privacy.
Answer:
E. The data is not under the owner’s direct control.
Step-by-step explanation:
took the test and got it right :)
Aidan will roll a fair 10-sided number die showing the numbers 1 – 10.
If Aidan rolls the number die exactly 300 times, which statement is the best
prediction about the outcome?
A. Aiden should expect a multiple of 3 to be rolled 100 times.
B. Aiden should expect a 2 to be rolled 60 times.
C. Aidan should expect a multiple of 2 to be rolled 150 times.
D. Aiden should expect a 4 to be rolled 75 times.
Answer:
Aiden should expect a multiple of 2 to be rolled 150 times.
Step-by-step explanation:
300 can be divided evenly 2 times.
Work out the area of a rectangle with base,
b
= 15mm and height,
h
= 12mm
Answer:
15x12=180mm
Step-by-step explanation:
Solve the following compound inequality
Answer:
i believe your answer is correct
Step-by-step explanation:
What is 8 less than x.
Write the expression that represents this phrase
Answer:
so it is because it has
Step-by-step explanation:
a good explanation
what is the value of x
Answer:
20
Step-by-step explanation:
because angle 5 is found on the same line as 45 degrees (don't remember what that's called), we can subtract from 180 to find
angle 5 = 135
angle 5 and 5x+35 are alternate interior angles, so they have the same value
135=5x+35
100=5x
20=x
Answer:
Thanks for the points :3
I need right answers!! Now!!
Answer:
c. the answer is c ........
Answer:
ccccccc
Step-by-step explanation:
tissydydydydtdhfyfucuc
select the correct solution for 6x = 30
(A) x = 24
(B) x = 1/5
(C) x = 5
(D) x = 36
Answer:
answer is (C) x = 5
I hope it helps you
:-))
Which of the following best describes the slope of the line below?
1.3.4b - What is the area of the composite polygon below? Be sure to include
proper units.
20 ft
12 ft
7 ft
8 ft
8 ft
34 ft
Can someone please help me. It’s hard and I don’t understand.
9513 1404 393
Answer:
changes by 120 for each copyis 1800 if none are soldStep-by-step explanation:
Let's look at the second question first.
x is the number of copies Chau sells. If he doesn't sell any copies, then x = 0. To find Chau's pay, we use x=0 in the equation, and solve for y.
120×0 +1800 = y
0 +1800 = y
1800 = y
Chau's pay when he sells no copies is $1800.
__
If Chau sells 1 copy, then his pay is ...
120×1 +1800 = y = 1920 . . . . . . . use the equation with x = 1
The increase in Chau's pay is 1920 -1800 = 120.
Chau's pay changes by $120 for each copy he sells.
Solve for x
54 = 9(x+3)
Answer:
x=3
Step-by-step explanation:
54=9(x+3)
54=9x+27
27=9x
3=x
hope this helps! let me know if you have any questions abt how i solved
don’t mind my crusty computer
Answer:
Okay
Step-by-step explanation:
Answer:
R.I.P adrians hat
Step-by-step explanation:
What property does
(3 + 19) – 12 = 3 + ( 19 – 12)
represent?
Answer:
associative property
Step-by-step explanation:
im stuck on this question i need help
M is the midpoint if AB . If coordinates of A are (-1,5) and the coordinates of M are (3,3) , what are the coordinates of B?
Answer:
The co-ordinates of B are ( 7,1)
Step-by-step explanation:
Step(i):-
Given that 'M' is the midpoint of AB
Given co-ordinate points are A(-1,5) and midpoint M(3,3)
we know that the midpoint formula
[tex]midpoint = (\frac{x_{1} +x_{2} }{2} ,\frac{y_{1}+y_{2} }{2} )[/tex]
[tex](3,3) = (\frac{-1+x_{2} }{2} ,\frac{5+y_{2} }{2} )[/tex]
Step(ii):-
Equating
[tex]3 = \frac{-1+x_{2} }{2}[/tex] and [tex]\frac{5+y_{2} }{2} = 3[/tex]
cross multiplication, we get
6 = -1 + x₂ and 6 = 5 +y₂
x₂ = 6+1 and y₂ = 6-5
x₂ = 7 and y₂ = 1
Final answer:-
The co-ordinates of B are ( 7,1)
i’ll give brainliest
Answer: The line is dotted and shaded above
The graph of g(x) goes through the point (-4, 1) and is parallel to h(x) = 5x - 2 points
8. Determine the symbolic representation of g(x). Express your answer in
slope intercept form. *
Answer:
[tex]g(x)=5x+21[/tex]
Step-by-step explanation:
The slope of g(x) is 5 because the slope of h(x) is 5 and g is parallel to h.
In point-slope form:
[tex]g(x)-1=5(x+4)[/tex]
Rearranging for slope intercept form:
[tex]g(x)-1=5x+20\\g(x)=5x+21[/tex]