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1 year ago

Question 1 to 4 please answer please please

Mathematics

1 answer:

Gnom [1K]1 year ago

4 0

It has been a while since I had done these, but I believe you need to multiply all the measurements together

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Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

In: $(x_1,y_1) = (2,\frac{2}{3})$

$y = ab^x$

$\frac{2}{3} = a * b^2$ --- (1)

In $(x_2,y_2) = (3,\frac{5}{9})$

$y = ab^x$

$\frac{5}{9} = a * b^3$ --- (2)

Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

$\frac{2}{3} = a * \frac{25}{36}$

$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

The function: $f(x) = ab^x$

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

7 0

2 years ago

If a radius of a circle is 12 feet, what is the area and perimeter of the circle?

Vesna [10]

Area of a circle=πr²
area of this cirlce=π*(12 ft)²=144π ft²≈452.39 ft².

answer 1= the area of this circle is 452.39 ft².

Perimeter of a circle=2πr.
Perimeter of this cirlce=2π(12 ft)=24π ft≈75.4 ft

<span>answer 2= the perimeter of this cirlce is 75.4 ft.</span>

4 0

2 years ago

Read 2 more answers

Let's go shopping! Jack spent $64 less than 4 times what Annie spent. Jack spent $100. . Write and solve an equation to find how

morpeh [17]

Step-by-step explanation:

Substitute X for the amount Annie spent

4x-$64 = 100

4x = $164

x = $164/4

x = $41

3 0

2 years ago

Please answer asap. there are two pics :)

Thepotemich [5.8K]

Answer:

$\boxed{\sf A. \ 0.34}$

Step-by-step explanation:

The first triangle is a right triangle and it has one acute angle of 70 degrees.

We can approximate $\sf \frac{WY}{WX}$ from right triangle 1.

The side adjacent to 70 degrees is WY. The side or hypotenuse is WX.

The side adjacent to 70 degrees in right triangle 1 is 3.4. The side or hypotenuse is 10.

$\sf \frac{3.4}{10} =0.34$

8 0

3 years ago

What is the equation of a line that passes through point R(−4, −3) and has a slope of 7?

Ymorist [56]

M = 7 is the given slope
(x,y) = (-4,-3) is the given point

Turn to slope-intercept form and use these values to find b

y = mx+b
-3 = 7(-4)+b ... plug in the given values
-3 = -28+b
-3+28 = -28+b+28
25 = b
b = 25

since we know that m = 7 and b = 25, the equation y = mx+b turns into y = 7x+25

The final answer is choice A

6 0

2 years ago