S = ut + 12 at?
u= 10 a = -2 t =
t
+ = Ź
Work out the value of s.

Answer:

2log(base 5)x - 2log(base 5)4

Step-by-step explanation:

The expression which is equivalent to [tex]log_5[/tex] [tex][x/4]^2[/tex] is c) 2[tex]log_5[/tex] x-2[tex]log_5[/tex]  4.

The answer is c. 2[tex]log_5[/tex]  x - 2[tex]log_5[/tex]  4.

We can use the power rule of logarithms to simplify the expression [tex]log_5[/tex]  [tex][x/4]^2[/tex]. The power rule of logarithms states that [tex]log_a[/tex] [tex]b^c[/tex] = c[tex]log_a[/tex] b.

In this case, we have [tex]log_5[/tex]  [tex][x/4]^2[/tex] =[tex]log_5[/tex]  [tex](x/4)^2[/tex] = 2[tex]log_5[/tex]  (x/4).

We can then use the quotient rule of logarithms to simplify the expression further. The quotient rule of logarithms states that [tex]log_a[/tex] (b/c) = [tex]log_a[/tex] b - [tex]log_a[/tex] c.

In this case, we have 2[tex]log_5[/tex]  (x/4) = 2[tex]log_5[/tex]  x - 2[tex]log_5[/tex]  4.

Therefore, the equivalent expression to [tex]log_5[/tex]  [tex][x/4]^2[/tex] is 2[tex]log_5[/tex]  x-2[tex]log_5[/tex]  4.

The other expressions are not equivalent to [tex]log_5[/tex]  [tex][x/4]^2[/tex]. Option a is not equivalent because it has an extra [tex]log_5[/tex]  4 term. Option b is not equivalent because it has a [tex]log_5[/tex]  16 term. Option d is not equivalent because it does not have the -2[tex]log_5[/tex]  4 term.

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Answer:

128°

Explanation:

total sum of interior angle in triangle is 180°

Find the missing angle inside the triangle:

180° - 38° - 90°

52°

∵ a straight line always has 180°

Now find for missing exterior angle:

x° + 52° = 180°

x° = 180° - 52°

x° = 128°

Answer:

128 degrees

Step-by-step explanation:

180-52= 128

so your answer is 128 degrees.

Answer:

9.2 cm and 15% increase

Step-by-step explanation:

1.15*8 = 9.2

percentage increase

new square = 9.2*9.2 =84.64

old area=8*9.2 = 73.6

percentange increase = (84.64-73.6)/73.6 = 15%

Increase the width

As sides of square are equal

Area increases same as length i.e 15%

Answer:

53/30 or.... 1 whole number 23/30

Answer:

50/30

Step-by-step explanation:

2/3 + 1/2 + 3/5

20 + 15 + 18/ 30

= 50/30

Answer:

I think 87.2% is the correct answer.

I think it will help you

Answer:

w = 5.5 assuming that w is the missing width of the rectangle.

Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;

The n'th term of a Arithmetic Sequence let's say it be [tex]{\sf T_n}[/tex] is given by ;

Where , d is the common difference

Now , here we are given with ;

[tex]{\quad \qquad \sf \blacktriangleright \blacktriangleright \blacktriangleright T_{1}=8 \: and \: T_{5}=-4}[/tex]

We have to find the 2nd , 3rd and 4th term respectively ,

Now , by using the above formula , 5th term can be written as ;

[tex]{: \implies \quad \sf T_{1}+(5-1)d=T_{5}}[/tex]

Putting the values and transposing 1st term to RHS , we have ;

[tex]{: \implies \quad \sf 4d = -4-8}[/tex]

[tex]{: \implies \quad \sf d=-\dfrac{12}{4}}[/tex]

[tex]{: \implies \quad \sf d=-3}[/tex]

Now , as we got the common difference , so we can find out the missing terms now ;

[tex]{: \implies \quad \sf T_{2}= T_{1}+(2-1)d}[/tex]

[tex]{: \implies \quad \sf T_{2}= 8 +d}[/tex]

[tex]{: \implies \quad \sf T_{2}= 8-3}[/tex]

[tex]{: \implies \quad \bf \therefore \: T_{2}= 5}[/tex]

Now

[tex]{: \implies \quad \sf T_{3}= T_{1}+(3-1)d}[/tex]

[tex]{: \implies \quad \sf T_{3}= 8 +2d}[/tex]

[tex]{: \implies \quad \sf T_{3}= 8-6}[/tex]

[tex]{: \implies \quad \bf \therefore \: T_{3}= 2}[/tex]

Also ,

[tex]{: \implies \quad \sf T_{4}= T_{1}+(4-1)d}[/tex]

[tex]{: \implies \quad \sf T_{4}= 8 +3d}[/tex]

[tex]{: \implies \quad \sf T_{4}= 8-9}[/tex]

[tex]{: \implies \quad \bf \therefore \: T_{4}= -1}[/tex]

Now , The given table can be written as ;

[tex]{\begin{array}{|c|c|c|c|c|c|}\cline{1-6} \bf n & \sf 1 & 2 & 3 & 4 & 5 \\ \cline{1-6} \bf T_{n} & \sf 8 & 5 & 2 & -1 & -4 \end{array}}[/tex]

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Given the data from the question, the 2nd, 3rd and 4th term of the sequence are:

This is a type of sequence which have common difference between each term. It is represent mathematically as:

Tₙ = a + (n – 1)d

Where

Tₙ is the nth term

a is the first term

n is the number of terms

d is the common difference

Tₙ = a + (n – 1)d

T₅ = 8 + (5 – 1)d

–4 = 8 + (4)d

Collect like terms

–4 – 8 = 4d

–12 = 4d

Divide both side by 3

d = –12 / 4

d = –3

Tₙ = a + (n – 1)d

T₂ = 8 + (2 – 1)(–3)

T₂ = 8 + (1)(–3)

T₂ = 8 – 3

T₂ = 5

Tₙ = a + (n – 1)d

T₃ = 8 + (3 – 1)(–3)

T₃ = 8 + (2)(–3)

T₃ = 8 – 6

T₃ = 2

Tₙ = a + (n – 1)d

T₄ = 8 + (4 – 1)(–3)

T₄ = 8 + (3)(–3)

T₄ = 8 – 9

T₄ = –1

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Answer:

<30

Step-by-step explanation:

5*10=50

50-20=30

Please mark me brainlest

Answer:irrational, rational, non-reapting and non-terminating and irrational

Step-by-step explanation:

because

Answer:

a)ab=-6×+4=-24

b)a÷d=-6÷-2=3

c)2bd=2×+4×-2=-16

Step-by-step explanation:

Put the values according to the question

Hope it help you

1 5/8

You need to subtract 2/8 from 1 7/8. The numbers are already common denominators, so it's much easier to subtract.

1 7/8-2/8

=1 5/8

Answer:

[tex]\displaystyle 15[/tex]

Step-by-step explanation:

Divide the circumferense by π like so:

[tex]\displaystyle \pi{d} = C \\ \\ \frac{47,1}{3,1415926536...} = d; 14,992395639... \\ \\ \boxed{15 \approx d}[/tex]

I am joyous to assist you at any time.

Answer:

$15348

Step-by-step explanation:

i = prt is the simple interest equation

i = 12,000(0.031) = 372

i = 372*9 = 3348

12000+3348 = $15348

Answer:

Step-by-step explanation:

I=PRT

I=12,000(3.1%)

I=12,000(0.031)=372

I=372*9=3348

The total interest paid is $3,348.

Answer:

Product before increasing: 4200

x after increase: 60 * 105% = 63

y after increase: 70 * 110% = 77

Product after increasing: 4851

Percentage increase in the product: 4851 / 4200 * 100 = 115.5%

Answer: C

Step-by-step explanation:

We know the scale factor is 6/2=3.

A) False. The ratio of the side lengths, not the areas, is 1 to 3.

B) False. Rectangle B is larger than Rectangle A.

C) The square of the ratio of the side lengths is the ratio of the areas.

D) False. The ratio of the side lengths, not the areas, is 1 to 3.

Answer:

c=8x+b

Step-by-step explanation:

Basically the 1 in b cancels out and you get c=8x+b

Answer:

[tex]\sf 36x^2 -24x +4[/tex]

solving step wise:

[tex]\sf (6x-2)^2[/tex]

[tex]\sf (6x-2)(6x-2)[/tex]

[tex]\sf 36x^2 -12x -12x +4[/tex]

[tex]\sf 36x^2 -24x +4[/tex]

or

[tex]\sf (6x-2)^2[/tex]

[tex]\sf (6x)^2 +2*6x*-2+(-2)^2[/tex]

[tex]36x^2 -24x +4[/tex]

Answer:

36x²-24x+4

Step-by-step explanation:

6x-2² 6x-2 6x-2

Stem and leaf plots are used to visualize data, graphically

The true statement is (b) There are 30 buildings in the county that are taller than 50 feet.

From the stem and leaf plot, we have that the number of leaves is 30

This means that, the total frequency of the dataset is 30

So, the number of buildings taller than 50 feet is 30

Hence, the true statement is (b) There are 30 buildings in the county that are taller than 50 feet.

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Answer:

No

Step-by-step explanation:

Because

14.99 + 1.50 = 16.49

16.49 + 6% = 17.4794

17.4794 + 20% = 20.97528

Now if you round 20.97528

It becomes 20.98

I hope this is correct!

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The slope is 3/2.

We take any two points, I took (-14,3) and (-12,6) for solving for the formula when finding slope.

The formula is Rise/Run or Change in Y/ Change in X.

y2-y1/x2-x1

6-3/-12-(-14)

= 3/2

Slope is 3/2

Answer:

Right

Step-by-step explanation:

Answer:

t = -1

Step-by-step explanation:

Solve:

-Chetan K

Answer:t=-1

Step-by-step explanation:

Answer: C

Step-by-step explanation:

[tex]25a^{2}=(5a)^{2}[/tex] and [tex]36b^{6}=(6b^{3})^{2}[/tex]

Answer:Blue

Step-by-step explanation:

Answer:

3 units in the vertical direction

Step-by-step explanation:

-18x + 7y = 21 → 7y = 18x + 21 → y = 18/7x + 3

6-3=3

Answer:

2

Step-by-step explanation:

[tex]-18x+7y=21\\\\\implies y=\dfrac{18}{7}x+3[/tex]

when x = 0, y = 3

[tex]y=\dfrac{18}{7}x+6[/tex]

when x = 0, y = 6

Therefore, the scale factor is 2 since the y coordinate has double: 3 x 2 = 6

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\rightarrowtail m=\dfrac{14-8}{7-10}[/tex]

[tex]\\ \rm\rightarrowtail m=\dfrac{-6}{-3}[/tex]

[tex]\\ \rm\rightarrowtail m=2[/tex]

Answer:

The line passes through the given points are ( 10,8) & (7,14)

here

x₁ = 10

y₁ = 8

x₂ = 7

y₂ = 14

We have been asked to slope of that line which passes through the given points .

Using Formulae

❍[tex] \bf \: m \: = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Put the given value we obtain

[tex] \sf \dashrightarrow \: m \: = \dfrac{14 - 8}{7 - 10} \\ \\ \sf \dashrightarrow \: m \: = \dfrac{6}{ - 3} \\ \\ \sf \dashrightarrow \: m \: = \dfrac{ - 2}{1} \\ \\ \sf \dashrightarrow \: m \: = - 2[/tex]

So, the slope of that line is -2 .

Answer:

244

Step-by-step explanation:

I assume this asks  90+90+64 = ?

So, you can put it all in a calculator and get 244

If you have any questions or I have interpretated the question wrong, feel free to comment! :D