Answer:
Step-by-step explanation:
1).
(a). Yes, the graph is linear.
(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2
2). Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)
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.
Evaluate the expression -36/-9
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.
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
Find the factors of function f, and use them to complete this statement.
f(x)= 2x^4 - x^3 -18x^2 + 9x
Answer:
-3, 0, 1/2, 3
The factors of function f is -3, 0, 1/2, 3
We have given that,
the factors of function f, and use them to complete this statement.
f(x)= 2x^4 - x^3 -18x^2 + 9x
What is the function?A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.
We have to determine the factor of the given function
[tex]2x^4 - x^3 -18x^2 + 9x =0[/tex]
[tex]x(2x^3-x^2-18x+9)=0[/tex]
[tex]x=0 \ and \ 2x^3-x^2-18x+9=0[/tex]
[tex]2x^3-x^2-18x+9=0[/tex]
[tex]2x-1=0\quad \mathrm{or}\quad \:x+3=0\quad \mathrm{or}\quad \:x-3=0[/tex]
Therefore the factors [tex]2x^3-x^2-18x+9=0[/tex] are
[tex]x=\frac{1}{2},\:x=-3,\:x=3[/tex]
-3, 0, 1/2, 3
To learn more about the factor of function visit:
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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
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.
At Emily's summer camp, there are
6 counselors for every 40 girls. How many
counselors should the camp have for 100
girls?
Answer:
15
Step-by-step explanation:
3 counselors for every 20 girls
Answer:
15 counselors
Step-by-step explanation:
The ratio of counselors to girls is 6:40. Set this as a proportion:
[tex]\frac{6}{40}[/tex]=[tex]\frac{x}{100}[/tex]
Cross multiply to solve: 6×100=40x
600=40x
x=15
To satisfy the ratio, there needs to be 15 counselors for 100 girls.
Please help!!!!!!!!!!
Answer:
The overall average is 70 dollars for all weeks together
Answer:
The average amount Mrs. Johnson spent per week is 70 dollars.
Step-by-step explanation:
47+96+78+61+68/5 = 350/5 = 70
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%
help please!!!!!!!!
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
i need the answer for this question
Answer:
x=5
y=7
(5,7)
Step-by-step explanation:
solved by substitution.
Can someone help pls
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
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.
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
6.3232 or 6.3202 is grater?
Answer:
6.3232 is greater
Step-by-step explanation:
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
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
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:
48 = -6a, a =
pls help hfjdjf
Answer:
a=-8
Step-by-step explanation:
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
Solve for x.
x/3+y=2x+19
Answer:
The answer is [attached photo].
Hope this helps and if you could mark this as brainliest. Thanks!
Answer:
(3+y)-19=x
Step-by-step explanation:
x/3+y=2x+19
=3+y=2x-x+19
(3+y)-19=x
the slope of the line that goes through the points (2,4) and (7,8)
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.
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
solve each system using elimination
8x+lly = 20 5x - 11y = -59
Answer:
8x+lly=205x-11y=-59u200b
Step-by-step explanation:
i calculated it
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
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