Let $N=2^{10}\cdot 3^5$. What is the smallest positive integer whose product with $N$ is a perfect square?

Answer:

80

Step-by-step explanation:

560/7=80

Answer:

We can not see all the graphs, so i will just do a graph of the system of inequalities, and you can select the option that matches it.

We have the system:

y ≥ 2x + 1

(to represent this, we need to have a solid line y = 2x + 1, and shade all the region above this)

y ≤ 2x - 2

(to represent this, we need to have a solid line y = 2x - 2, and shade all the region below this)

The graph of this system is shown below:

Answer:

-10/15

Step-by-step explanation:

-1/5-7/15

-3/15-7/15

-10/15

Please give me brainliest!

Answer:

I haven't learn that yet but you can try asking desmos that app or web may help you with your question!

Answer:

422.39 sq cm

Step-by-step explanation:

Find the area of the circle and subtract the area of the rectangle from it.

Circle area: pi*12^2, 144pi sq cm

REctangle area: 10*3=30sq cm

144pi-30≈422.39

Answer:

(∞, 3]

Step-by-step explanation:

Given the inequality 4x−1<11

We are to find the solution set;

4x−1<11

Add 1 to both sides

4x−1+1<11+1

4x < 12

Divide both sides by 4

4x/4 = 12/4

x < 3

Hence the solution set of the inequality is (∞, 3]

Answer:

x > 5.

Step-by-step explanation:

1 / 3

Let’s start by subtracting \blue{14}14start color #6495ed, 14, end color #6495ed from both sides of the inequality:

\qquad\begin{aligned} 14\blue{-14} - 3x &< -1 \blue{-14}\\ - 3x &< -15 \\ \end{aligned}  

14−14−3x

−3x

​  

<−1−14

<−15

​  

Hint #22 / 3

Next, let's divide both sides by \green{-3}−3start color #28ae7b, minus, 3, end color #28ae7b. When you divide an inequality by a negative number, the inequality sign must be \text{\pink{reversed}}reversedstart text, start color #ff00af, r, e, v, e, r, s, e, d, end color #ff00af, end text:

\qquad\begin{aligned} - 3x& < -15\\ \\ \dfrac{-3x}{\green{-3}} &\pink{>} \dfrac{-15}{\green{-3}} \\ \\ x &\pink{>} 5\\ \end{aligned}  

−3x

−3

−3x

​  

x

​  

<−15

>  

−3

−15

​  

>5

​  

Hint #33 / 3

The solution set of the inequality is:

\qquad x > 5.

x>5.

Answer:

[tex](a - 2)(2a + 2) \\ = {2a }^{2} + 2a - 4a - 4 \\ = {2a}^{2} - 2a - 4 \\ ({2a}^{2} - 4a) + (2a - 4) \\ 2a(a - 2) + 2(a - 2) \\( a - 2)(2a + 2) \\ a = 2 \\ a = - 1[/tex]

Answer:

[tex]g(a).f(a) = (a - 2)(2a + 2) \\ = 2 {a}^{2} + 2a - 4a - 4 \\ = \boxed{2 {a}^{2} - 2a - 4}[/tex]

Answer:

$56

Step-by-step explanation:

12% of 50 is 6.

50+6=56

$56

Hope this helped! :)

Answer:

$56

Step-by-step explanation:

12% -> 0.12

$50 x 0.12 = $6

$50 + $6 = $56

Answer:

It is the last answer

Step-by-step explanation:

The simplified value is 2.4 x - 4.4,

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form.

Given:

0.3(4x – 8) – 0.5(–2.4x + 4)

=1.2 x - 2.4 + 1.2x- 2

=2.4 x - 4.4

Hence, the simplified expression is 2.4 x - 4.4.

Learn more about simplification here:

https://brainly.com/question/23509407

#SPJ2

Answer:

Angle = Ф = [tex]cos^{-1}[/tex](0) = 0

Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.

Step-by-step explanation:

Given vector r(t) = [tex]e^{t}cost i + e^{t}sint j[/tex]

As we know that,

velocity vector = v = [tex]\frac{dr}{dt}[/tex]

Implies that

velocity vector = [tex](e^{t} cost - e^{t} sint)i + (e^{t} sint - e^{t}cost )j[/tex]

As acceleration is velocity over time so:

acceleration vector = a = [tex]\frac{dv}{dt}[/tex]

Implies that

vector a =

[tex](e^{t}cost - e^{t}sint - e^{t}sint - e^{t}cost )i + ( e^{t}sint + e^{t}cost + e^{t}cost - e^{t}sint )j[/tex]

vector a = [tex](-2e^{t}sint) i + ( 2e^{t}cost)j[/tex]

Now scalar product of position vector r and acceleration vector a:

r. a = [tex]<e^{t}cost, e^{t}sint> . <-2e^{t}sint, 2e^{t}cost>\\[/tex]

r.a = [tex]-2e^{2t}sintcost + 2e^{2t}sintcost[/tex]

r.a = 0

Now, for angle between position vector r and acceleration vector a is given by:

cosФ = [tex]\frac{r.a}{|r|.|a|}[/tex] = [tex]\frac{0}{|r|.|a|} = 0[/tex]

Ф = [tex]cos^{-1}[/tex](0) = 0

Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.

Answer:

3/2

Step-by-step explanation:

the slope of the equation is -2/3 so the other slope must be opposite reciprocal

Answer:

3/2

Step-by-step explanation:

When you rearrange the equation into y=mx+b, you get y=-2/3x-15

The slope of the given line is -2/3 and you have to take the opposite reciprocal so flip the fraction and change the sign.

This gives the slope 3/2

Given that,

The equation of line is y=7/5x+ 6 and that passes through the point (2,-6).

To find,

The equation of line that is perpendicular to the given line.

Solution,

The given line is :

y=7/5x+ 6

The slope of this line = 7/5

For two perpendicular lines, the product of slopes of two lines is :

[tex]m_1m_2=-1\\\\m_2=\dfrac{-1}{7/5}\\\\=\dfrac{-5}{7}[/tex]

Equation will be :

y=-5x/7+ b

Now finding the value of b. As it passes through (2,-6). The equation of line will be :

[tex]-6=\dfrac{-5}{7}(2)+b\\\\ -6=\dfrac{-10}{7}+b\\\\b=-6+\dfrac{10}{7}\\\\b=\dfrac{-32}{7}[/tex]

So, the required equation of line is :

y=-5x/7+ (-32/7)

[tex]y=\dfrac{-5x}{7}-\dfrac{-32}{7}[/tex]

Given:

I have 13 gallons of water and I pour 10 out.

I have about 10.6 in the container I poured it in.

To find:

The the remaining water.

Solution:

I have 13 gallons of water and I pour 10 out. So, the remaining water after this step is

[tex]13-10=3[/tex]

Then, I have about 10.6 in the container I poured it in. So, the remaining water after this step is

[tex]3+10.6=13.6[/tex]

Therefore, the final remaining amount of water is 13.6 gallons.

Answer:

3 seconds

Step-by-step explanation:

Given the height modelled by the function

h(t) = -16t² + 16t + 96

The hit the water at h(t) = 0

0 = -16t² + 16t + 96

Divide through b y -16

0 = t² - t - 6

t² - t - 6 = 0

t² - 3t+2t - 6 = 0

t(t-3)+2(t-3) = 0

t+ 2 = 0 and t - 3 = 0

t = -2 secs and t = 3secs

Since t can't be negative, hence;

t = 3 secs

hence it will take 3 seconds until Devon hit the water

Answer:

10

Step-by-step explanation:

Since the whole thing is squared, we can cancel out the square roots.

8 + 2 = 10

Answer:

double the pretzles so 2 2/4

Step-by-step explanation:

Divide total ounces by the leakage rate to find total minutes it will take to empty:

480 / 4 = 120 minutes

1 hour = 60 minutes, so 120 minutes = 2 hours.

35 mph x 2 hours = 70 miles total.

The answer is J. 70

Answer:

D

Step-by-step explanation:

please mark me brainliest i need two more to next rank

Answer:

X side of the triangle in the diagram is the hypotenuse because it's side is long than other side

Answer:

diameter is 28

Step-by-step explanation:

615.75216/3.14=196.099

[tex]\sqrt{196}[/tex]=14

14*2=28

Answer:

$30

Step-by-step explanation:

Assuming this is an annual compound with a simple interest rate. the formula we can use is A=P(rt).

P=200

r=0.05

t=3

0.05*3=0.15

200*0.15=30

She earned $30

Answer:

The amount of interest she earns is: $30

Step-by-step explanation:

Given

To determine

Interst I = ?

Using the equation to determine the interest amount

[tex]I = Prt[/tex]

substitute P = 200, r = 0.05 and r = 3

[tex]I\:=\:200\:\times \:0.05\:\times \:3[/tex]

[tex]I = 30[/tex] $

Therefore, the amount of interest she earns is: $30

Answer:

Step-by-step explanation:

The answer should be X= -3

Answer:

=13/10

Step-by-step explanation:

Answer: 1 3/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

A regular quadrilateral has 4 congruent sides and 4 angles

Answer:

its is step 2

Step-by-step explanation:

the correct step is 3-2x-12=x+6

9-2x=x+6

9=3X+6

3=3x