Using laws of exponents,

Answer:

40.1

Step-by-step explanation:

i just did it and got it right

Answer:

a₁₅₇ = 1,088

Step-by-step explanation:

aₙ = a₁ + d(n-1); where 'd' if common difference

a₁₅₇ = -4 + 7(156)

      = -4 + 1092

      = 1,088

Answer:

157 is the 24th term

Step-by-step explanation:

The formula for arithmetic sequences is an=a1+(n-1)d,

where an is the nth term, a1 is the first term, n is the term position, and d is the common difference

First, we need to find the common difference using the 10.

Since it's the third term, we have 10=-4+(3-1)d

Solving for d gives us d=7

Next, we need to find the term number of 157

Thus, we have 157=-4+(n-1)*7

Solving for n gives us n=24

We can check it like this: Following order of operations (i.e. PEMDAS) gives us 24-1=23*7=161-4=157

Answer:

this two graph is not same because they have different slopes for this they are not same

The answer is attached. I hope this helps answer your question!

Answer:

10

Step-by-step explanation:

data=11,7,21,14,9,x

mean=sum of data/no of data

12=11+7+21+14+9+x/6

12*6=62+x

72-62=x

10=x

therefore sixth number is 10.

40% of 34 000

40/100 * 34 000 = 13 600

subtract : 34000 - 13 600 = 20 400

10% of 20 400

10/100 * 20 400 = 2040

subtract : 20 400 - 2040 = $ 18 360

Answer:

It's (-1.5,-5.5)

Step-by-step explanation:

Answer:

-1.5 , -5.5

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

1. 31.2

2. 5.28

3. 0.565

Step-by-step explanation:

Remember if the number is 1-4 round down and if the number is 5-9 round up.

Hope this is helpful

#happylearning

Given:

The function is:

[tex]p(t)=500(0.25)^t[/tex]

Where p(t) represents the number of milligrams of the substance and t represents the time.

To find:

The correct explanation for the number 0.25 and 500 in the given function.

Solution:

The general exponential function is:

[tex]y=ab^x[/tex]           ...(i)

Where, a is the initial value and b is the growth/decay factor. If [tex]0<b<1[/tex], then decay factor and if [tex]b>1[/tex], then growth factor.

We have,

[tex]p(t)=500(0.25)^t[/tex]           ...(ii)

On comparing (i) and (ii), we get

[tex]a=500[/tex], it means initial there are 500 milligrams of the substance.

[tex]b=0.25[/tex], this value is less than 1, it means the substance is decreasing by a factor of 0.25.

Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.

Answer:

3.1 in

Step-by-step explanation:

a² + b² =c²

12=c

11.6=b

c²- b² = a²

12²-11.6²= 9.44

√9.44 = 3.07 Rounded = 3.1 in

Answer:

Lower Bound = 2.996

Upper bound = 3.244

Step-by-step explanation:

https://youtu.be/QnydfcNVJoQ

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Answer:

x + y = 60

Step-by-step explanation:

[tex]2x + 2y + 60 = 180 \\ 2x + 2y = 180 - 60 \\ 2x + 2y = 120 \\ \frac{2x + 2y}{2} = \frac{120}{2} \\ x + y = 60 \\ [/tex]

Answer:

$9 in change

Step-by-step explanation:

Find the total cost of his purchases:

28 + 28 + 85

= 141

Find how much change he received by subtracting this from 150:

150 - 141

= 9

So, he should have received $9 in change

Answer:

A. 4,3

Step-by-step explanation:

that's it thanks brainliest please

Answer:

A) (4,3)

Step-by-step explanation:

Answer:

$1.44

Step-by-step explanation:

Tax is a compulsory sum levied by the government. it increases the price of the good

tax paid = tax rate x price of the book

18 x 8%

18 x 0.08 = $1.44

Step-by-step explanation:

is connected to graph before u learn this u must know your graph

Answer: 10.75 currency units

Step-by-step explanation:

The amounts of money are in the ration 8:3 which means that for every 3 units of the second amount, there are 8 units of the first.

Use direct proportion to solve:

8      :      3

x      ;       4.03

Cross multiply to get:

3x = 32.24

x = 32.24 / 3

x = 10.75 currency units

Answer:

2

Step-by-step explanation:

Step-by-step explanation:

you must have written something wrong.

because given that information OB is not equal to OC.

but for example, OB = BC.

the distance of OB is (5,0) - (0,0) = (5-0,0-0) = (5,0) =

= sqrt(5² + 0²) = sqrt(25) = 5

the distance of OC is (5,5)-(0,0) = (5-0,5-0) = (5,5) =

= sqrt(5² + 5²) = sqrt(50) = 5×sqrt(2)

so, OB is NOT the same as OC.

but BC is (5,5)-(5,0) = (5-5,5-0) = (0,5) = sqrt(0² + 5²) =

= sqrt(25) = 5

Answer:

y = 6

Step-by-step explanation:

Answer:

i helped

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

P=4/18=2/9

Answer:

The area of flower bed is 8.96 m^2.

Step-by-step explanation:

Length of lawn = 6 x

width of lawn = x

length of flower bed = x + 4

width of flower bed = x - 1

Area of shaded region = 40 m^2

Area of the shaded region

6 x (x) - (x +4)(x -1) = 40

[tex]5 x^2 - 3 x - 36 = 0 \\\\x = \frac{-3\pm\sqrt{9 + 720}}{10}\\\\x = \frac{-3\pm 27}{10}=2.4 m, - 3 m[/tex]

As length cannot have negative value, so x = 2.4 m.

Area of flower bed = (x + 4)(x - 1) = (2.4 + 4)(2.4 - 1) = 8.96 m^2

Answer:

im not dure

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

(a)

We need to express in percent 8 as a percent of 32.

We have,

Numerator = 8

Denominator = 32

Percent,

[tex]P=\dfrac{8}{32}\times 100\\\\=25\%[/tex]

Hence, the required percentage is 25%.

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the diagram of coordinates of the three triangles are not given.

A general explanation is as follows:

First, record the coordinates of the corresponding points of the three triangles.

For instance; In triangles ABC, DEF and GHI; A, D and G are corresponding points.

Now, assume the coordinates are:

[tex]A = (1,1)[/tex]

[tex]D = (1,5)[/tex]

[tex]G= (-2,1)[/tex]

Point D is 4 points to the right of A;

i.e.

[tex]D =(1,1+4) = (1,5)[/tex]

Hence, ABC will be moved 4 units right to lie on DEF

Similarly, point G is 3 units down of A

i.e.

[tex]G =(1-3,1) = (-2,1)[/tex]

Hence, ABC will be moved 3 units down to lie on GHI.

Answer:

10.975+10.975+10.975+10.975

Step-by-step explanation:

Answer:

The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).

The transformation is rigid.

Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.

If figure 1 is located 360° about point C, it will be mapped onto itself.

Step-by-step explanation: