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3 years ago

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In the number 3.333, the value of the digit in the hundredths place is ___ times as much as the digit in the thousandths place.

Explain please.

1 answer:

Black_prince [1.1K]3 years ago

5 0

In the number 3.333 the value of the digit in the hundredths place is 33.3 times as much as the digit in the thousandths place

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Solve for x in the equation 2 x squared + 3 x minus 7 = x squared + 5 x + 39.

Nastasia [14]

Answer:

$\implies x=1\pm \sqrt{47}$

Step-by-step explanation:

We want to solve for x in $2x^2+3x-7=x^2+5x+39$

You need to group and combine like terms and write in standard form:

$2x^2-x^2+3x-5x-7-39=0$

$\imples x^2-2x-46=0$

By comparing to $ax^2+bx+c=0$ , we a=1,b=-2 and c=-46

The solution can be obtained using the quadratic formula.

$x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}$

We substitute the coefficients to get:

$x=\frac{--2\pm \sqrt{(-2)^2-4*1*-46} }{2*1}$

$x=\frac{2\pm \sqrt{4+4*46} }{2}$

$x=\frac{2\pm \sqrt{4*47} }{2}$

$x=\frac{2\pm2\sqrt{47} }{2}$

$\implies x=1\pm \sqrt{47}$

The last choice is correct

5 0

3 years ago

Read 2 more answers

When Kimchi is made, it is initially fermented for the first 3 days at a temperature of 70 degrees Fahrenheit and then immediate

svet-max [94.6K]

The given temperatures of 70 °F, 50 °F, and 35 °F, at the given 3, 3, and

6 days give the following step function;

$\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}$

Please find attached the graph of the step function?

<h3>How can the step function be written?</h3>

The temperature at it is fermented in the first three days = 70 °F

From day 3 to 6 the temperature = 50 °F

From day 6 to day 12, the temperature at which it is kept in the freezer = 35 °F

The step function is therefore;

$\begin{cases}f(x) = 70^{\circ } & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}$

The graph of the above function created with MS Excel is attached

Learn more about step functions here:

brainly.com/question/2509505

8 0

2 years ago

Kendall tracked the amount of water his windowsill plant needed each week over ten weeks. Her data is shown below.

Annette [7]

Answer:

nfft

Step-by-step explanation:

4 0

3 years ago

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What is the value of d? look at image attached

tino4ka555 [31]

In a circle, the measure of an inscribed angle is half the measure of the intercepted arc.

∠BCD = arc BAD/2 ⇒ arc BAD = 2*∠BCD = 2*100 = 200°

arc BCD = 360° - arc BAD = 360° - 200° = 160°

∠d = arc BCD/2 = 160/2 = 80°

4 0

3 years ago

The area of the triangle below is 12 square inches. What is the length of the base?

Aloiza [94]

Answer:

b = 8 in

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

Here A = 12 and h = 3 , then

$\frac{1}{2}$ b × 3 = 12 , that is

1.5b = 12 ( divide both sides by 1.5 )

b = 8

4 0

3 years ago

Read 2 more answers