Carson uses cubes to make a pattern of shapes. The first shape has a height of
2 cubes and a length of 2 cubes, as shown below. For each step in the pattern,
Carson adds 1 cube to the height and 1 cube to the length. Which sentence
about the shapes in Carson's pattern is true?
Step 1
height
length
» The total number of cubes in each
shape will alternate between even and
odd.
)) The length of each shape will alternate
between even numbers and odd
numbers.
1) The length of each shape will be an
even number
()) The total number of cubes in each
shape will be even.

Answer:

Volume Con = pi x radius^2 x h/3

Volume Sphere = 4/3 x pi x radius^3

Step-by-step explanation:

Volume of shape = Volume of Cone + 1/2 x Volume of  Sphere

Volume of shape = pi x radius^2 x h/3 +1/2 (4/3 x pi x radius^3)

Volume = (3.14 x 39^2 x (81-39)/3) + 1/2(4/3 x 3.14 x 39^3)

Volume = (3.14 x 1521 x 14) + 1/2 (4/3 x 3.14 x 59319)

Volume = (66863.2) + (124174.4)

Volume = 191037.6

Volume = 191038 cubic ft

Answer:

x=13 and y =6

Step-by-step explanation:

y=x-7

y=6

Substitute y=6 into the first equation

6 = x-7

Add 7 to each side

6+7= x-7+7

13 = x

x=13 and y =6

Answer:

Lower quartile=46

Upper Quartile=52

Median=48

Step-by-step explanation:

Look at the three dots on/in the plot the first one is the lower quartile and the middle is the median and the last one in the box plot  (52)is the upper quartile, the ones on the outsides are the minimum and the maximum.

Answer:

csc x = - [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Using the trigonometric identity

csc²x = 1 + cot²x

         = 1 + (- [tex]\frac{4}{3}[/tex] )² = 1 + [tex]\frac{16}{9}[/tex] = [tex]\frac{25}{9}[/tex], thus

csc x = ± [tex]\sqrt{\frac{25}{9} }[/tex] = ± [tex]\frac{5}{3}[/tex]

Since 270° < x < 360° where csc x < 0 , then

csc x = - [tex]\frac{5}{3}[/tex]

Answer:

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

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the length of the other leg, then

x² + 3² = 6², that is

x² + 9 = 36 ( subtract 9 from both sides )

x² = 27 ( take the square root of both sides )

x = [tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex] ← exact value

Answer:

Step-by-step explanation:

In slope and intercept form it is going to be in form y=mx+c where m is the slope and c is the intercept

3x+4y=12

4y=-3x+12

Making y subject of the formula by dividing all through by 4

y=-3x/4 + 12/4

y=-3x/4 + 3

This is the equation in slope and intercept form

Answer:

y = -7x+4

Step-by-step explanation:

We can use the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

We know the slope

y = -7x+b

We have a point to substitute in for x and y

-3 = -7(1) +b

-3 = -7+b

Add 7 to each side

-3+7 =b

4 =b

We can substitute this back into

y = -7x+b

y = -7x+4

Answer:

y+-7x+4

Step-by-step explanation:

y-y1=m(x-x1)

y+3=-7(x-1)

y+3=-7x+7

y=-7x+4

Answer:

48÷3=16

Step-by-step explanation:

In the expression, 96 divided by 8 = a , the quotient a =12

. Divide 12 lizards into 6 equal groups. How many lizards are in each group?

There are2

lizards in each group.

Answer:

1.    16

2.   6

3.    2

Step-by-step explanation:

Answer:

m∠QPR = 20°

Step-by-step explanation:

If we make a sketch of the triangle, it will be observed, that line R bisects angle P.

Considering Triangle, ΔQPS;

∠QPS=107∘

Considering triangle, QPR;

∠QPR=9x-115∘

Considering triangle, RPS;

∠RPS=4x+27∘

Thus, ∠RPS + ∠QPR = ∠QPS

4x+27° + 9x-115° = 107°

13x - 88° = 107∘

13 x = 107∘ + 88∘

13x = 195°

x = 195°/13

x = 15°

m∠QPR = 9x - 115°

= (9 x 15) - 115°

= 135° - 115°

= 20°

Therefore, m∠QPR = 20°

Answer:

$0.60

Step-by-step explanation:

30/50=60/100=0.60

If its correct, can you give me brainiest

Answer:

5 units

Step-by-step explanation:

[tex]Distance = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

[tex]d = \sqrt{(0 - 4)^2 + (-3 - 0)^2}[/tex]

[tex]d = \sqrt{(-4)^2 + (-3)^2}[/tex]

[tex]d = \sqrt{16 + 9}[/tex]

[tex]d = \sqrt{25}[/tex]

[tex]d = 5[/tex]

So, the distance between the points is 5 units which is letter choice B.

Answer:

(A)James is correct.There are fewer rows, so there will be more in each row. There will be  12 jelly beans in each row for 2 equal rows, and 8 jelly beans in each row for 3 equal rows.

Step-by-step explanation:

James is putting 24 jelly beans into equal rows.

If he puts the jelly beans in 2 equal rows:

Number in each row=24/2=12 jelly beans per row.

If he puts the jelly beans in 3 equal rows:

Number in each row=24/3=8 jelly beans per row.

Therefore, James is correct.There are fewer rows, so there will be more in each row. There will be  12 jelly beans in each row for 2 equal rows, and 8 jelly beans in each row for 3 equal rows.

The correct option is A.

Answer:

let distance between the two stops be d

so

avg. speed for whole journey = total distance/total time

= ( 2d) / ( d/40 + d/50)

= 2/ (1/40+1/50)

= 2 / ( 90/ 200)

= 2× 200/90

= 40/9 mph

Answer:

Binomial

Step-by-step explanation:

It has 2 terms in the expression

Answer: quadratic polynomial

Step-by-step explanation:

A quadratic polynomial is a polynomial of degree 2. A univariate quadratic polynomial has the form f(x)=a_2x^2+a_1x+a0. An equation involving a quadratic polynomial is called a quadratic equation. A closed-form solution known as the quadratic formula exists for the solutions of an arbitrary quadratic equation.

Answer:

84m³ (A) should be correct

Answer:

A

Step-by-step explanation:

Volume = length × width × height

= 7 × 4 × 3

= 84 m²

Answer:

19 cm

Step-by-step explanation:

An equilateral triangle has all 3 sides the same length

P = 3s where s is the side length

57 = 3s

Divide each side by 3

57/3 = 3s/3

19 =s

Answer:

5

Step-by-step explanation:

The first number before the x is the slope which is the quotient of the rise and the run of the line. The number after the x is where the line intercepts the y axis which is called the y intercept.

Answer:

m= 5

Step-by-step explanation:

The line is in slope-intercept form

y=mx+b

where m is the slope and b is the y-intercept

We have the line:

y=5x-1

5 is the coefficient that comes before x, therefore 5 is the slope.

The constant being subtracted, -1, is the y-intercept

Therefore: m=5 and b=-1

The slope is 5

Answer:

in the step by step

Step-by-step explanation:

1-I could tell by matching the width of the rectangle with the circumference of the lid. The width would wrap perfectly around the circle if it is the same length at the circumference.

2-The width would be different because the width is equal to the circumference.

3-First, I would find the circumference. I would do 2(h)*pi to find the circumference. I would draw two circles with this circumfrence, then I would put a rectangle in between the circles with the height as the height of the cylinder and the width as the circumference.

Answer:

25.1

Step-by-step explanation:

1. Find the radius of the inner circle

(the formula for the circumference of a circle is [tex]C=2\pi r[/tex])

To find the radius of the inner circle, you would plug in the given information so that your equation looks like this:

[tex]22=2(\frac{22}{7} )r[/tex]

then solve for [tex]r[/tex]

[tex]r=3.5[/tex]

2. add [tex]4[/tex] to the radius of the inner circle

[tex]3.5+4=7.5[/tex]

3. find the circumference of the outer circle using [tex]7.5[/tex] as the radius

[tex]C=2(\frac{22}{7})7.5[/tex]

[tex]C=47.1[/tex]

4. Subtract the circumference of the inner circle from the circumference of the outer circle

[tex]47.1-22=25.1[/tex]

Answer:

4x2 + 7x - 6

 ————————————

    x - 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are many methods but I give you the factorisation:

[tex]4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8[/tex]

So

[tex]\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\ \\=4x-1 +\frac{8}{x+2}[/tex]

That means the quotient is 4x-1 and the remainder is 8.

Kind of need a picture to help answer the question.

Answer:

10 sqrt(3) + 2 sqrt(5)

Step-by-step explanation:

2√75+ √20

We know sqrt(a*b) = sqrt(a) sqrt(b)

2 sqrt(25*3) + sqrt(4*5)

2 sqrt(25)sqrt(3) + sqrt(4) sqrt(5)

2 * 5sqrt(3) + 2 sqrt(5)

10 sqrt(3) + 2 sqrt(5)

Answer:

-1220703125

Explanation:

The 14th term of the geometric sequence 1 , − 5 , 25 , . . . is (5)¹⁴ after using the geometric sequence formula.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

The sequence is:

1 , − 5 , 25 , . . .

The above sequence represents a geometric sequence.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,

approaching either infinity or -infinity.

The common ratio = -5/1  = -5

The nth term a(n) = arⁿ⁻¹

The first term a = 1

The nth term a(n) = (5)ⁿ⁻¹

Plug n = 14

The 14th term a(14) = (-5)¹⁵⁻¹

The 14th term a(14) = (5)¹⁴

Thus, the 14th term of the geometric sequence 1 , − 5 , 25 , . . . is (5)¹⁴ after using the geometric sequence formula.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ2

Answer:

It is important for bob to keep the receipt and record in the register so he can monitor how much money he has in the account. It prevents being overdrawn. Recording debits and deposits helps with budgeting.

Answer:

you need a d/protector to do this

Step-by-step explanation:

Answer:

1230.88

Step-by-step explanation:

Volume= pi(r^2)h

Volume=3.14(49)(8)

Volume=1230.88

Answer:

X=1

Step-by-step explanation:

6x+2=9x-1

-6x on both sides

2=3x-1

+1 on both sides

3=3x

/3 on both sides

1=x

Flip

X=1