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2 years ago

You have a new 10-day workout routine. You want to do 10 sets of 10 sit-ups each

Mathematics

2 answers:

Sholpan [36]2 years ago

6 0

Answer:

10²

Step-by-step explanation:

Another way of phrasing "10 sets of 10 sit-ups" is "10 sit-ups, 10 times," or mathematically, 10 x 10. Another way of writing repeated multiplication is through <em>exponents</em>. Since we have 2 10's multiplied together, we can rewrite our expression as 10².

Vladimir79 [104]2 years ago

6 0

Answer:

10 to the power of 2

Step-by-step explanation:

10 to the power of 2 is 100 because you multiply 10x10 2 times Hope this helps

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Two whole numbers have a least

max2010maxim [7]

10 and12 is the correct answer

4 0

3 years ago

3. Diego drew a scaled version of a Polygon P and labeled it Q.

bogdanovich [222]

Answer:

The scale factor used to go from P to Q is 1/4

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x -----> area of polygon Q

y -----> area of polygon P

$z^{2}=\frac{x}{y}$

we have

$y=72\ units^2$

Find the area of polygon Q

Divide the the area of polygon Q in two triangles and three squares

The area of the polygon Q is equal to the area of two triangles plus the area of three squares

see the attached figure N 2

Find the area of triangle 1

$A=(1/2)(1)(2)=1\ units^2$

Find the area of three squares (A2,A3 and A4)

$A=3(1)^2=3\ units^2$

Find the area of triangle 5

$A=(1/2)(1)(1)=0.5\ units^2$

The area of polygon Q is

$x=1+3+0.5=4.5\ units^2$

Find the scale factor

$z^{2}=\frac{x}{y}$

we have $y=72\ units^2$

$x=4.5\ units^2$

substitute and solve for z

$z^{2}=\frac{4.5}{72}$

$z^{2}=\frac{1}{16}$

square root both sides

$z=\frac{1}{4}$

therefore

The scale factor used to go from P to Q is 1/4

6 0

2 years ago

Need help with my homework 2 problems

Solnce55 [7]

4(x+2) , 2(2x+4) , 8+4x , 1/2(8x+16) are all the same as 4x+ 8.

5 0

2 years ago

Any help with this greatly appreciated.

Anestetic [448]

Put the equation in standard linear form.

$x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}$

Find the integrating factor.

$\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5$

Multiply both sides by $\mu$ .

$(t+5) x'(t) + x(t) = 5(t+5)e^{5t}$

Now the left side the derivative of a product,

$\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}$

Integrate both sides.

$(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt$

On the right side, integrate by parts.

$(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C$

Solve for $x(t)$ .

$\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}$

3 0

1 year ago

What is the inequalities of 4(-4x-3)>36

adelina 88 [10]

Answer:

x<-3

Step-by-step explanation:

-16x-12>36

-16x>48

x<-3

4 0

2 years ago