Please help it’s easy, I just need help on the state the problem questions. Make sure to put the number by the answer.

Step-by-step explanation:

Here in the given figure the value of x will be 70° ( being alternative angle )

x = 70°

Now...

y = 60° ( being corresponding angle )

Now...

60° + 70° + z = 180° ( the sum of interior angle of triangle is 180°

z = 180° - 130°

z = 50° ..

[tex]...[/tex]

Answer:

[tex]3\ln 4 + 3 \ln a[/tex]

Step-by-step explanation:

[tex]\ln(4a)^3\\\\=3\ln (4a)~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=3(\ln 4 + \ln a)~~~~~~~~~~~~~~~~~~~~;[\log_b (mn) = \log_b m + \log_b n]\\\\=3\ln 4 + 3 \ln a[/tex]

0.75 + 1.25 = $2 everyday

Since there are 5 weekdays:

5 x 2 = $10 a week

Since there are 52 weeks in a year:

10 x 52 = $520 a year!

Answer:

it is b.

Step-by-step explanation:

as if the slope of x is 5 then y,=,0

At the equilibrium price p, we can solve for the quantity of goods x :

demand = supply

5200 - 0.0005x = 2800 + 0.0003x

2400 = 0.0008x

x = 3,000,000

With this quantity of goods, the equilibrium price is

p = 5200 - 0.0005 (3,000,000)

p = 5200 - 1500

p = 3700

I think it's 28 units²

Answer:

there's no picture dude

Answer:

30

Step-by-step explanation:

The formula for the perimeter of a rectangle is, P = length + breadth + length + breadth.

so, P = 9+6+9+6

P = 30

How much is $100 in ZA rands.

Let the unknown be "x"

[tex]\frac{1}{17}×\frac{100}{x}[/tex]

We'll have to do cross multiplication.

So we'll have to multiply 100 and 17.

[tex]100×17[/tex]

[tex]\huge\boxed{= 1700 \: ZA \: rands}[/tex]

Therefore, $100 is 1700 ZA rands.

Answer:

i) 0.5

ii) 0.76

Step-by-step explanation:

i) 0.5

ii) 0.76

Answer:

337 large buckets and 195 jumbo buckets were sold.

Step-by-step explanation:

x = the number of large buckets sold
y = the number of jumbo buckets sold

x + y = 532
(2.25x + 3.75y = 1489.50) x100 = 225x + 375y =148950

(x + y = 532) x -225 =      -225x - 225y = -119700
                                       + 225x + 375y =148950

                                                       150y = 29250
                                                             y = 195

x + 195 = 532
         x = 337

Answer:

  C.  g(x) = 3·2^x +2

Step-by-step explanation:

The graph of g(x) appears to be a translation upward of the graph of f(x).

__

To find the equation of g(x), we can add 5 to f(x), since the translation appears to be 5 units. (The y-intercept of f(x) is 0; the y-intercept of g(x) is 5.)

  g(x) = f(x) +5

  g(x) = (3·2^x -3) +5

  g(x) = 3·2^x +2

__

You can also determine the correct choice by looking at the value at x=0:

  A. g(0) = 3 +6 = 9

  B. g(0) = 1 +3 = 4

 C. g(0) = 3 +2 = 5 . . . . matches g(0) on the given graph

  D. g(0) = 3

Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The constant is the number that's all by itself with no variable.

x is the variable. It can vary (change) as you use different values for x.

There are four terms here in the expression in your question they are separated by the plus or minus signs.

2 and 4 are exponents. 3 and 5 are coefficients.

x^4 is a fourth degree term. 3x^2 is a second degree term. 5x is a first degree term. The whole expression is 4th degree because the highest exponent is 4.

But the 6 is all by itself. 6 is the constant.

The value of a is 17 and the value of b is 6. The correct option is third option a = 17, b = 6

From the question, we are to determine the values of a and b

From the given kite diagram, we can conclude that

/FG/ = /HG/

Thus,

30 =  2a - 4

∴ 2a - 4 =  30
2a = 30 + 4

2a = 34

a = 34 / 2

a = 17

Also,

/FJ/ = /HJ/

3b + 6 = 24

3b = 24 - 6

3b = 18

b = 18/3

b = 6

Hence, the value of a is 17 and the value of b is 6. The correct option is third option a = 17, b = 6

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The value of z is 7 when y = 7 and x = 14.

If x varies directly as y and inversely as z and when y = 16 and z = 14,  x = 16. Enter the value of z when y = 7 and x = 14.

The variation involves a direct and inverse variation from x to y and z.

This is represented as:

[tex]x = \frac{ky}{z}[/tex]

Where k is the constant of variation

For the first set of values, we have:

[tex]16 = \frac{k * 16}{14}[/tex]

Solve for k

k = 14

For the second set of values, we have:

[tex]14 = \frac{k * 7}{z}[/tex]

Substitute 14 for k

[tex]14 = \frac{14 * 7}{z}[/tex]

Solve for z

z = 7

Hence, the value of z is 7

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The explicit formula is [tex]a_{n-1} = 256 * 0.5^{n-1[/tex] and the sum of the first 25 terms is approximately 512

The given parameters are:

[tex]a_0 = 256[/tex]

[tex]a_{n +1} = 0.5a_n[/tex]

Set n = 0

[tex]a_1 = 0.5a_0[/tex]

Substitute 256 for a0

[tex]a_1 = 0.5 * 256[/tex]

[tex]a_1 = 128[/tex]

This means that the common ratio is 0.5.

The explicit formula is then represented as:

[tex]a_{n-1} = a_0 * r^{n-1[/tex]

This gives

[tex]a_{n-1} = 256 * 0.5^{n-1[/tex]

This is calculated using:

[tex]S_n = \frac{a_0(r^{n-1} -1)}{r - 1}[/tex]

This gives

[tex]S_{25} = \frac{256 * (0.5^{25-1} -1)}{0.5 - 1}[/tex]

Evaluate

[tex]S_{25} = 512[/tex]

Hence, the sum of the first 25 terms is approximately 512

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The perimeter of the triangle is 16 feet

The perimeter of a triangle refers to the calculation of the total distance bounded by the triangle or around the triangle.

Perimeter of a triangle = (3x - 4) + (x² - 1) + (2x - 15)

Perimeter of a triangle = 5x + x² - 20

Perimeter of a triangle =  5(4) + (4)² - 20

Perimeter of a triangle = 16

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Answer:

i think you have to multiply

Step-by-step explanation:

Answer:

i don't know, you need to tell us what we need to do

Step-by-step explanation:

Answer:

C) 8 m²

Step-by-step explanation:

Volume of a square pyramid :

Answer:

i believe the answer is false !

Step-by-step explanation:

Answer:

6.5 $

Therefore she needs 6.5 $ is she doesn't rwk

Answer:

[tex]x > \frac{5}{2} > 2\frac{1}{2}[/tex]

Step-by-step explanation:

group

[tex]4x-7 > 3\\4x-7+7 > 3+7\\4x > 3+7\\4x > 10[/tex]

isolate "x"

[tex]4x > 10\\=\frac{4x}{4} > \frac{10}{4}\\x > \frac{10}{4}\\x > \left(\frac{5\cdot 2}{2\cdot 2}\right)\\x > \frac{5}{2}[/tex]

Answer:

x > 2.5 or in fraction form x > 2 1/2

Step-by-step explanation:

4x - 7 > 3

     +7  +7         Add seven to both sides.

4x > 10

÷4     ÷4            Divide both sides by 4.

x > 2.5

Hope this helps!

Answer:

180

Step-by-step explanation:

well 9×12=180 roger only works 20 hours he gets plaid $9 per hour he's working so yes the answer is 180

Answer:

180

Step-by-step explanation:

10×9=90, so 90+90= 180

Answer:

51%

Step-by-step explanation:

Answer:

[tex]\text{Slope} = \dfrac{7}9[/tex]

Step-by-step explanation:

[tex]\text{Given that,}~ (x_1,y_1) = (16,14)~ \text{and}~ (x_2,y_2) = (-2,0)\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~=\dfrac{0-14}{-2-16}\\\\\\~~~~~~~~~~~~=\dfrac{-14}{-18}\\\\\\~~~~~~~~~~~~=\dfrac{7}9[/tex]

Answer:

m = 7/9

m = 7/9m ≈ 0.80

Step-by-step explanation:

Given two points:

(16, 14), (-2, 0)

To find:

The slope

Solution:

We know that,

[tex] \rm Slope(m) = \cfrac{ y_2 - y_1}{x_2 - x_1} [/tex]

According to the question,

Note:[The underscore refers to that the numbers after the underscore is a subscript]

So Substitute them on the formulae:

[tex] \implies \rm \: m = \cfrac{0 - 14}{ - 2 - 16} [/tex]

Simplify it.

[tex] \implies \rm \: m = \cfrac{ \cancel{- 14} \: {}^{7} }{ \cancel{- 18} \: {}^{9} } [/tex]

[tex] \implies \boxed{ \rm \: m = \cfrac{7}{9} }[/tex]

[tex] \implies \rm \boxed{ \rm m \approx0.80}[/tex]

Thus,the slope is 7/9 in fraction and 0.80 (Nearest tenth) in decimal.

The cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632

From the question, we are to determine the cash value of the computer system in 3 years

From the given information,

The computer system cost $2,395 and it will depreciate at a rate of 12% a year

After the first year, the worth of the computer system will be

$2,395 - (12% of $2,395)

$2,395 - (0.12 × $2,395)

= $2,395 - $287.4

= $2107.6

After the second year, the worth of the computer system will be

$2107.6 - (12% of $2107.6)

$2107.6 - (0.12 × $2107.6)

= $2107.6 - $252.912

= $1854.688

After the third year, the worth of the computer system will be

$1854.688 - (12% of $1854.688)

$1854.688 - (0.12 × $1854.688)

= $1854.688 - $222.56256

= $1632.12544

≅ $1632

Hence, the cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632

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The option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a transformation function:

g(x) = f(x - 3) + 4

The parent function is f(x).

First transformation:

x → (x - 3)

The function will shift right by 3 units.

Second transformation:

Add 4 to the function:

g(x) = f(x - 3) + 4

The function will shift up by 4 units.

Thus, the option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.

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