Will mark brainliest! Please help me! Ty!

Answer:

The answer is B.

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.

Answer:

8x+lly=205x-11y=-59u200b

Step-by-step explanation:

i calculated it

Answer:

D) -5/2

Step-by-step explanation:

(0, 5) (8, -15)

-15 - 5 = -20

8 - 0 = 8

-20/8 = -5/2

Answer:

7

Step-by-step explanation:

7-4=3

5×3=15

plz mark brainliest

Answer:

x=7

Step-by-step explanation:

-5*(x-4)-(-15)=0

(0 -  5 • (x - 4)) -  -15  = 0

 35 - 5x  =   -5 • (x - 7)

 -5 • (x - 7)  = 0

    Solve  :    x-7 = 0

Add  7  to both sides of the equation :

                     x = 7

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

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:

Answer:

the answer is E. hope this helps

Step-by-step explanation:

Answer:

x=5

y=7

(5,7)

Step-by-step explanation:

solved by substitution.

Answer:

Your total cost would be $19800

Step-by-step explanation:

350*48

=16800

+3000

=19800

Answer:

p=13

Step-by-step explanation:

set 7p-1=90. Add 1 to 90 to get 7p=91. 91/7 equals 13

Answer:

31

Step-by-step explanation:

5(5) + 6

5 x 5 = 25

25 + 6 = 31

Answer:

6.3232 is greater

Step-by-step explanation:

Answer:

1.33%

Step-by-step explanation:

$9.74 - $9.61 = $0.13

(0.13 divided by $9.74) times 100

=1.33%  

Answer:

the answer is 95

Step-by-step explanation:

[tex]180 - 50 - 35 = 95[/tex]

Answer:

105 degrees

Step-by-step explanation:

A traingle has a total of 180 degrees. The graph already tells us 2 angles, 25 and 50 degrees. So: 25+50=75

180-75=105

Answer:

Andy gets 60

Polly gets 30

Phoebe gets 180

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

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

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:

Answer:

1/12

Step-by-step explanation:

Convert to a simplified fraction.

Answer:

83/1000

Step-by-step explanation:

192=3943

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.

Answer:

a=-8

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

2x - 1.50 = 1.50x

.50x = 1.50

x=3

Answer:

37

Step-by-step explanation:

10z=3 and z=4

substitute

10(4)-3

simplify

40-3

answer

37

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

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.

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.