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3 years ago

Round 630 to the nearest hundred

Mathematics

1 answer:

RSB [31]3 years ago

4 0

600 is the answer...........

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Susanna walked 2/7 of a mile in two over five of an hour what is a unit rate in miles per hour

Aleks [24]

Answer:

speed = distance/ time so:

(2/7) / (2/5) = (2/7) x (5/2) = 10/14 = 5/7 mph

5/7 = 0.71 miles per hour if you need decimal formatStep-by-step explanation:

8 0

2 years ago

Read 2 more answers

Simplify the expression:

Lelu [443]

$\cfrac{(12-5)^7}{\left((3+4)^2\right)^2}= \cfrac{7^7}{(7^2)^2} =\cfrac{7^7}{7^4}=7^{7-4}=7^3=343$

5 0

2 years ago

Using the method of completing the square, put each circle into the form

tatiyna

Answer:

Standard form: $(x-\frac{1}{2})^2 + (y-0)^2 = 15$

Center: $(\frac{1}{2}, 0)$

Radius: $r =\sqrt{15}$

Step-by-step explanation:

The equation of a circle in the standard form is

$(x-h)^{2} + (y-k)^{2} = r^{2}$

Where the point (h, k) is the center of the circle

To transform this equation $4x^{2} -4x + 4y^{2} - 59 = 0$ this equation in the standard form we use the method of square.

First, we group similar variables

$(4x^{2} -4x) + (4y^{2}) - 59 = 0$

Divide both sides of equality by 4

$(x^{2} -x) + (y^{2}) - 14.75 = 0$

Now we complete square for variable x.

Take the coefficient "b" that accompanies the variable x and divide by 2. Then, elevate the result to the square:

$b =-1\\\\\frac{b}{2}= \frac{-1}{2}= -\frac{1}{2}\\\\(\frac{b}{2})^2= (-\frac{1}{2})^2 = \frac{1}{4}$

Now add $(\frac{b}{2})^2$ on both sides of the equality

$(x^{2} -x +\frac{1}{4}) + (y^{2}) - 14.75 = (\frac{1}{4})$

Factor the expression and simplify the independent terms

$(x-\frac{1}{2})^2 + (y^{2}) = 15$

$(x-\frac{1}{2})^2 + (y-0)^2 = 15$

Then

$h =\frac{1}{2}\\\\k=0$

and the center is $(\frac{1}{2}, 0)$

radius $r =\sqrt{15}$

3 0

2 years ago

4. Mr. Ramos invests $600 at a simple interest rate of 6%. How much interest will he earn in one year?

lora16 [44]

Answer:

$36 if it's an annual rate. If it's a monthly rate it's $432

Step-by-step explanation:

Since it's such a high interest rate to pay, I think the logical rate would be annually because that's a lot of money for a bank to give

4 0

3 years ago

Find the indicated term of the given arithmetic sequence.<br><br> a14 for 200, 196, 192, ...

Fofino [41]

Answer:

148

Step-by-step explanation:

AP 200, 196, 192, ...

a14=?

---------

a1= 200

d= 196-200=192-196= -4

a14= a1+13d

a14= 200+13*(-4)= 200- 52= 148

3 0

3 years ago