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3 years ago

What is the value of x? (BOTH)

Mathematics

1 answer:

nadezda [96]3 years ago

5 0

Answer:

Step-by-step explanation:

\ $2.\\\frac{4}{3} =\frac{x}{2.25} \\3x=2.25*4=9\\x=9/3=3$ $1.\\\frac{x+8}{2x-5} =\frac{10}{14} =\frac{5}{7} \\10x-25=7x+56\\10x-7x=56+25\\3x=81\\x=81/3=27$

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The vertex of this parabola is (2,-1). When the y value is 0, the x value is 5. What is the coefficient of the squared term in t

Schach [20]

Vertex form: y = a(x - h)² + k
h = 2
k = -1
y = 0
x = 5

0 = a(5 - 2)² - 1
0 = 9a - 1
a = 1/9

5 0

3 years ago

What is the square root of 200

wariber [46]

Hi,

$\sqrt{200} = 14.14$

Hope this helps.
r3t40

3 0

3 years ago

57°

noname [10]

Answer:

c = 29

Step-by-step explanation:

Law of sines is given as: $\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}$

B = 180 - (57 + 44) = 79°

b = 41

C = 44°

c = ?

Thus:

$\frac{b}{sin(B)} = \frac{c}{sin(C)}$

Substitute

$\frac{41}{sin(79)} = \frac{c}{sin(44)}$

Multiply both sides by sin 44

$\frac{41}{sin(79)}*sin(44) = \frac{c}{sin(44)}*sin(44)$

$\frac{41*sin(44)}{sin(79)}*sin(44) = c$

c = 29.0140633 ≈ 29

3 0

3 years ago

In 2000, the population of Massachusetts

Zepler [3.9K]

Answer:

The population reaches 7 million people in the year 2032.

Step-by-step explanation:

We have that

$f(x) = 6.3*(1.0032)^{x}$

Using this model, find the year when the population reaches 7 million people.

This is x years after 2000, in which x is found when f(x) = 7. So

$f(x) = 6.3*(1.0032)^{x}$

$7 = 6.3*(1.0032)^{x}$

$(1.0032)^{x} = \frac{7}{6.3}$

$(1.0032)^{x} = 1.11$

We have to following logarithm rule

$\log{a^{x}} = x\log{a}$

So we apply log to both sides of the equality

$\log{(1.0032)^{x}} = \log{1.11}$

$x\log{1.0032} = \log{1.11}$

$x = \frac{\log{1.11}}{\log{1.0032}}$

$x = 32.66$

2000 + 32.66 = 2032

The population reaches 7 million people in the year 2032.

3 0

3 years ago

if on a scale drawing 35 feet are represented by 25 inches, then a scale of 1/8 inch represents how many feet?

kirill115 [55]

Answer:

7/40 feet

Step-by-step explanation:

Solve using proportions:

$\frac{25in}{35ft} =\frac{1/8 in}{?ft}$

Find the scale factor by dividing the numerators 25 by 1/8.

25 ÷ 1/8 = 200 This is the common ratio

To get from the top left number to the top right number, you divide 25 by 200.

To get from the bottom left number to the bottom right number, you divide 35 by 200.

35 ÷ 200 = 0.175

1/8 of an inch represents 0.175 feet.

To find 0.175 in fraction form, reduce 35/200 to its lowest terms.

35/200 = 7/40

1/8 of an inch represents 7/40 feet.

8 0

3 years ago