Answer:
Two additional premium channels were ordered
Step-by-step explanation:
Linear Modeling
It consists of describing a real situation with a mathematical function that corresponds to a straight line.
An example is the described situation where the cable company charges $90 per month for basic cable and $12 for each additional premium cable channel.
The linear model for the charges of the company is:
c(x) = 90 + 12x
Where x is the number of additional premium channels.
Knowing that one month the charge was $114, we can find x:
114 = 90 + 12x
Subtracting 90:
114 - 90 = 12x =24
Dividing by 12:
x = 24/12
x = 2
Two additional premium channels were ordered
PLSSS HELPPPPOPPPPPPPP
Answer:
x = 15 ; y = 53
Step-by-step explanation:
(7x + 18)° + (4x - 3)° = 180°
11x + 15 = 180
11x = 165
x = 15
(2y + 17)° + (4(15) - 3)° = 180°
2y + 17 + 57 = 180
2y = 106
y = 53
I need help with this, could you just give me the answers? You don't need to show work
Answer:
9) B= 115 / C= 65 / D=135 / E= 115 / F=25
10) B= 110 / C= 70 / D=1120 / E=70 / F= 20
11) A= 68 / B= 112 / C= 68 / D=112 / E= 68
12) A= 64 / B=116 / C= 64 / E=64 / F=26
Step-by-step explanation:
9) B= 115 / C= 65 / D=135 / E= 115 / F=25
10) B= 110 / C= 70 / D=1120 / E=70 / F= 20
11) A= 68 / B= 112 / C= 68 / D=112 / E= 68
12) A= 64 / B=116 / C= 64 / E=64 / F=26
Which of the following is equivalent to logb sqrt 57/74
Answer:
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].
Hence, option 'c' is true.
Step-by-step explanation:
Given the expression
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex]
Rewrite as
[tex]=\log _b\left(\left(\frac{57}{74}\right)^{\frac{1}{2}}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]
[tex]=\frac{1}{2}\log _b\left(\frac{57}{74}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(\frac{a}{b}\right)=\log _c\left(a\right)-\log _c\left(b\right)[/tex]
[tex]=\frac{1}{2}\left(\log _b\left(57\right)-\log _b\left(74\right)\right)[/tex] ∵ [tex]\log _b\left(\frac{57}{74}\right)=\log _b\left(57\right)-\log _b\left(74\right)[/tex]
Therefore,
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].
Hence, option 'c' is true.
A formal proof uses all of the following components except what?
A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules
Answer:
The answer is B.
Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.
Answer:
Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
* A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
* If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.
Step-by-step explanation:
(A) and (C)
A right angle measures 90°, hence the sum of two right angles is 180° (supplementary)
AnglesAn angle is formed when two lines intersect each other. Two angles are said to be supplementary if their measures add up to 180 degrees while Two angles are called complementary if their measures add up to 90 degrees.
To justify the fact that two right angles are supplementary. Firstly a right angle measures 90°, hence the sum of two right angles is 180° (supplementary)
Find out more on Angles at: https://brainly.com/question/25770607
Solve for the value of p.
Answer:
p=13
Step-by-step explanation:
set 7p-1=90. Add 1 to 90 to get 7p=91. 91/7 equals 13
Your payment is $350 per month for 48 months and you made a 3,000 down payment?
Answer:
Your total cost would be $19800
Step-by-step explanation:
350*48
=16800
+3000
=19800
what does x = ? need help with the pythagorean theorem
Answer:
The answer is 9
Step-by-step explanation:
set up the equation as 12^2 + b^2 = 15^2
solve the exponents and you get 144 + b^2 = 225
Then subtract 144 from both sides and get 81
After that just do the square root of 81 and you get 9
pls mark brainliest
solve each system using elimination
8x+lly = 20 5x - 11y = -59
Answer:
8x+lly=205x-11y=-59u200b
Step-by-step explanation:
i calculated it
Ok I need to know if I did this right so: 8^0 = 1 right (exponents) please help
Answer:
Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.
Step-by-step explanation:
Hope this helps!
Answer:
Yes you are correct. It would be one.
Step-by-step explanation:
help please!!!!!!!!
Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
How much do they each get?
Answer:
Andy gets 60
Polly gets 30
Phoebe gets 180
Which function is a linear function ?
Answer:
the answer is E. hope this helps
Step-by-step explanation:
6.3232 or 6.3202 is grater?
Answer:
6.3232 is greater
Step-by-step explanation:
Anju wants to serve 0.75 of the pizza she made to her family for dinner. What fraction is equivalent to 0.75?
Answer:
3/4
Step-by-step explanation:
0.75 is equal to three fourths
Answer:
3/4 is equivalent to 0.75
Step-by-step explanation:
Hope this helps c:
please help! i only got 9 minutes left!!
Answer:
D) -5/2
Step-by-step explanation:
(0, 5) (8, -15)
-15 - 5 = -20
8 - 0 = 8
-20/8 = -5/2
48 = -6a, a =
pls help hfjdjf
Answer:
a=-8
Step-by-step explanation:
When FD bisects angle CFE does it create angle C and E or does it create angle CFD and angle EFD
Answer:
it create angle CFD and angle EFD
Step-by-step explanation:
i believe it create that because after the one triangle gets broken into 2, its saying the two smaller angles next to the f.
A player throws a football across the field. The equation h (x) = -16t^2 + 44t + 3.5 models the height, h, in feet, of the football as a function of time. t, in seconds. Ivan claims the football was thrown from an initial height of 3.5 feet with an initial velocity of 16 feet per second. Complete the statement to explain why ivan is incorrect
Answer:
A quadratic equation for the height of an object is written as:
h(t) = a*t^2 + b*t + c
We can derivate it with respect to the time to get the velocity:
v(t) = 2*a*t + b
We can derivate it with respect to the time to get the acceleration:
a(t) = 2*a
Then:
a = half of the acceleration. (the gravitational acceleration for problems like this)
b = initial vertical velocity.
c = initial height.
In our case we have:
h(t) = -16t^2 + 44t + 3.5
-16 is half of the acceleration, we know that the gravitational acceleration is:
g = 32ft/s^2, and we have a negative sign because the gravity pullls the ball downwards.
44 is the initial vertical velocity of the ball (44ft/s)
3.5 is the initial height. (3.5ft)
Then the statement of Ivan is incorrect because the 16 does not represent the initial velocity
52% of what number is 45? (Round to the nearest whole number)
what is the value of the expression below when z=4
10z=3
Answer:
37
Step-by-step explanation:
10z=3 and z=4
substitute
10(4)-3
simplify
40-3
answer
37
Mrs. Daniels recorded the weights of nine boxes of strawberries in her booth at a farmer's market. The weights of the boxes
shown.
2
What is the average weight, in pounds, of the boxes of strawberries?
OB.
OA 13 pounds
1 pounds
OC. 2 pounds
OD. 2, pounds
Reset
Next
Answer:
The answer is C. 2 pounds
Step-by-step explanation:
Add all the numbers up and then divide by the numbers of sets. The average is the same as the mean.
This is for the ones on Plato
A piece of candy corn is in the
shape of a cone.
The height of
the candy corn is 4 centimeters
and the diameter is 2
centimeters.
Find the volume.
Evaluate the expression -36/-9
i need the answer for this question
Answer:
x=5
y=7
(5,7)
Step-by-step explanation:
solved by substitution.
what is the value of this expression below when x=5
5x+6
Answer:
31
Step-by-step explanation:
5(5) + 6
5 x 5 = 25
25 + 6 = 31
The price of a technology stock has dropped to $9.61 today. Yesterday's price was $9.74. Find the percentage decrease.
Round your answer to the nearest tenth of a percent.
HELP I NEED THIS
If you can write the explanation out and how you got it!!!!!!!!
Answer:
1.33%
Step-by-step explanation:
$9.74 - $9.61 = $0.13
(0.13 divided by $9.74) times 100
=1.33%
the slope of the line that goes through the points (2,4) and (7,8)
A county has two elementary schools, both of which have an after-school program for the convenience of working parents. In school A, of the children attend the after-school program; in school of the children attend the after-school program. If school A has 600 students and school B has 900 students , then what is the fraction of elementary school students in the county who attend the after -school program ?
Answer:
8/15
Step-by-step explanation:
Given that school A has 600 students and school B has 900 students.
As in School A, 1/3 of the children attend the after-school program.
So, the number of students in school A, who attend the after-school program, n_A= 1/3 x 600 = 200.
As in School B, 2/3 of the children attend the after-school program.
So, the number of students in school B, who attend the after-school program, n_B= 2/3 x 900 = 600.
Total number of elementary school students in the county who attend the after -school program= n_A +n_B = 200 + 600 = 800.
Total number of elementary school students in the county,
N = 600+900=1500
Hence, the fraction of elementary school students in the county who attend the after-school program = 800/1500 = 8/15.
Can someone help pls