What is the product? (x + 3)(2 x minus 1) 2 x squared minus 3 2 x squared + 6 x 2 x squared + 5 x minus 3 2 x squared + 6 x minus 3

Answer:

10 minutes

Step-by-step explanation:

Mario can eat e21 hot dog in 6 minutes

Let 35 hot dog  eats in x minutes :

[tex]\frac{35}{x} =\frac{21}{6} \\x=\frac{35(6)}{21} \\x=10 min[/tex]

Therefore, mario would eat 35 dogs in 10 min.

Answer:

The large square covers more

Step-by-step explanation:

Given

See attachment for squares

Required

Which covers more plane

The large square has the highest dimension and by extension, it has the highest area.

This means that, less large squares will be needed to cover more areas compared to other sizes of the squares.

Take for instance, the following analysis;

Large square

Dimension: 3 by 3;

[tex]Area=3*3 = 9[/tex]

Medium Square

Dimension: 2 by 2

[tex]Area = 2 * 2 = 4[/tex]

Small square

Dimension: 1 by 1

[tex]Area = 1 * 1 = 1[/tex]

The square with the largest area covers more of the plane.

Hence, the large square covers more of the plane

Answer:

[tex]\huge\boxed{c=17\ ft}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have:

[tex]leg=15ft\\leg=8ft\\hypotenuse=c[/tex]

Substitute:

[tex]c^2=15^2+8^2\\\\c^2=225+64\\\\c^2=289\to c=\sqrt{289}\to c=17(ft)[/tex]

Answer:

The probability that he chooses trees of two different types is 30%.

Step-by-step explanation:

Given that a landscaper is selecting two trees to plant, and he has five to choose from, of which three of the five are deciduous and two are evergreen, to determine what is the probability that he chooses trees of two different types must be performed the following calculation:

3/5 x 2/4 = 0.3

2/5 x 3/4 = 0.3

Therefore, the probability that he chooses trees of two different types is 30%.

Answer:

Actually the right answer is 60%! Not 30 %!  (つД｀)･ﾟ･

Step-by-step explanation:

Answer:

1:26

Step-by-step explanation:

You can divide both sides by 2.

Answer:

Step-by-step explanation:

Let L be the given line, then, with a slope of -8

L :  y = -8x + b

where b is to be determined from the included point A(-10,0).

Substitute point A in L to get

0 = -8 (-10) + b

solve to get

b = -80

therefore

L : y = -8x -80

Now substitute B(-9,z) in L

z = -8(-9) - 80 = -8

Answer:

[tex]6\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{216}[/tex]

factorise 216

[tex]\sqrt{2*2*2*3*3*3}[/tex]

since it is square root (meaning it has index to) pair up the number

[tex]2*3\sqrt{2*3[/tex]

[tex]6\sqrt{6}[/tex]

Answer:

[tex]A=1099.56cm^{2}[/tex]

Step-by-step explanation:

Formula to ind surface area of cylinder:

[tex]A=2\pi \frac{d}{2} h+2\pi (\frac{d}{2} )^{2}[/tex]

[tex]A=2\pi \frac{10}{2} (30)+2\pi (\frac{10}{2} )^{2}[/tex]

[tex]A=1099.557443cm^{2}[/tex]

Therefore, area will be:

[tex]A=1099.56cm^{2}[/tex]

hope this helps :)

Using the z-distribution, as we have the standard deviation for the population, it is found that the 99.7% confidence interval is given by:

[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

99.7% confidence level, hence[tex]\alpha = 0.997[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.997}{2} = 0.9985[/tex], so [tex]z = 3[/tex].

The other parameters are:

[tex]\mu = 112.5, \sigma = 37.5, n = 96[/tex]

Hence, the interval is:

[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]

To learn more about the z-distribution, you can check https://brainly.com/question/25890103

Answer:

Let two consecutive multiples of 3 be x and (x+3)

A/q,

x * (x+3) = 648

➡ x² + 3x = 648

➡ x² + 3x -648 = 0

➡ x² + 27x - 24x -648 = 0

➡ x ( x + 27 ) -24 ( x +27)

➡ ( x - 24) ( x + 27)

➡ x = 24 and x = -27

so, we take x = 24.

Required multiples of 3

➡ x = 24

➡ x +3 = 24+3 = 27.

Answer:

The three consecutive multiples are 210, 216, 222

Step-by-step explanation:

3 consecutive multiples of 6 be : 6n , 6n + 6 , 6n + 12

Given sum of these 3 numbers is = 648

That is ,

            6n + 6n + 6 + 6n + 12 = 648

           18 n + 18 = 648

            18n = 648 - 18

             18 n = 630

                n = 35

Therefore the three consecutive multiples are :

6 x 35 , 6 x 35 + 6,  6 x 35 + 12

210 , 210 + 6 , 210 + 12

 210 , 216, 222

Answer:

Step-by-step explanation:

[tex]\frac{2*10^{14}}{8*10^{9}}=\frac{1}{4}*10^{14-9}=\frac{1}{4}*10^{5}\\\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\[/tex]

In exponent division , if bases are same, then find the difference of the exponents

Answer:

slope is 3/7

Step-by-step explanation:

use the formula y2 - y1 / x2 - x1

Answer:

20/56 or 5/14

Step-by-step explanation:

Prob of red = 5/8

Second red prob = 4/7

multiply those = 20/56

simplify if needed = 5/14

Answer:

119 or 118.726577

Step-by-step explanation:

We should use the Pythagorean Theorem to solve this problem.

a^2+ b^2=c^2

64^2+100^2=c^2

4096+10000=14096

c^2=14096

c=\sqrt{14096}14096

And the root of 14096 is 118.726577.

So the Answer is About 119 meters, or 118.726577

hope this helps!

Answer:

x < 1

Step-by-step explanation:

2(x-7)<-12

Divide by 2

2(x-7)/2<-12/2

x-7 < -6

Add 7 to each side

x-7+7 < -6+7

x < 1

Answer:

x = 0

Step-by-step explanation:

The axis of the symmetry has the same x coordinate of the vertex

V (x) = -b/2a

in both equations b is equal to 0 and a 0/a number different from 0 gives always 0 as a result

Answer:

A ≈ 132.73 m²

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Circle Formula: A = πr²

Step-by-step explanation:

Step 1: Define

Identify variables

r = 6.5 m

Step 2: Find Area

9514 1404 393

Answer:

  A. 3+ (-4) = -1

Step-by-step explanation:

The arrow indicates a subtraction of 4, or an addition of -4. The only equation containing such a subtraction or addition is choice A.

Answer:

0.16666666666 is the answer of two thirds take away one half.

Answer:

333,333 Three hundred and thirty-three thousand , three hundred and thirty-three

Step-by-step explanation:

4000000/12

Answer:

1. a. miles or feet

b. inches

c. ounces

d. gallons

2. a.  1:36

b. 1/1

c. 63,360

Step-by-step explanation:

Answer:

= X(5x+3)-4(5x+3)

= 5x²+ 3x- 20x-12

= 5x²-17x-12

Answer:

5x(squared)-17x-20

Step-by-step explanation:

Answer:

Step-by-step explanation:

you see 12=12 (side)

6=6 (side)

116°=116°(angle between sides)

now what can be the answer?

two sides and one angle equal

so SAS

Answer:

(x+2)(x+6)

Step-by-step explanation:

that is the answer because math

=>x^2+8x+12

=>x^2+6x+2x+12

=>x(x+6)+2(x+6)

=>(x+6)(x+2)

Hope it helps you

Answer:

58

Step-by-step explanation:

Area = Area of entire recangle - area of cut out

a = (10 * 7) - (6 * 2)

a = 70 - 12

a = 58