A rectangular solid has sides of 10 cm, 6.5 cm, and 8.3 cm. What is its volume and surface area? Volume (to the nearest tenth) = cm3 Surface area (to the nearest tenth) = cm2

Answer:

The area of the composite figure is 1360 ft.

Step-by-step explanation:

First, you should split up the composite figure into separate shapes.

So to find area of the triangle all the way on the left, you multiply base x height then divide by 2.

30 x 34 = 1020 ÷ 2 = 520.

Then, moving on to next shape, we can break up the trapezoid into a rectangle and a triangle.

To find area of the rectangle you multiply length x width.

16 x 30 = 480.

Finally, we have the last triangle right above the rectangle. Keep in mind that the rectangle does not have a length of 40!

You have to subtract 40 - 16 which equals 24.

30 x 24 = 720 ÷ 2 = 360.

Now that we have all 3 numbers, we simply add them all together and you will get an answer of 1360 ft.

Remember to label your answer!

Answer:

1080 ft^2

Step-by-step explanation:

We are given a composite figure that consists of a triangle and a trapezoid.

We know that the area of these two shapes is given by the following formulas so we will put in the given values to get:

Area of triangle = [tex]\frac{1}{2} \times b \times h[/tex] = [tex]\frac{1}{2} \times 16 \times 30[/tex] = 240 ft^2

Area of trapezoid = [tex]\frac{a+b}{2} h[/tex] = [tex]\frac{16+40}{2} 30[/tex] = 840 ft^2

Area of composite figure = [tex]240+840[/tex] = 1080 ft^2

[tex]\bf 4\pi \qquad \approx \qquad 12.57 \\\\[-0.35em] ~\dotfill\\\\ \sqrt{79}+\sqrt{63}\qquad \approx \qquad 8.89 + 7.94\implies 16.83 \\\\[-0.35em] ~\dotfill\\\\ \sqrt{143}\qquad \approx \qquad 11.96 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{11.96}{\sqrt{143}}\qquad \stackrel{12.57}{4\pi }\qquad \stackrel{16.83}{\sqrt{79}+\sqrt{63}}~\hfill[/tex]

[tex]4\pi = 1.27323954474\\\sqrt{143} = 11.9582607431\\\sqrt{79} + \sqrt{63} = 16.8254483505[/tex]

Answer:

B

Step-by-step explanation:

Use the formula for radius and circle circumference.

[tex]d=2r \\ \\ C=2\pi r[/tex]

Since we know the diameter, if we divide that by 2, we can get the radius.

[tex]29.5/2=14.75[/tex]

Now we can plug that value into the circumference formula to get the circumference.

[tex]C=2(14.75)\pi \\ \\ C=29.5\pi \\ \\ C=93[/tex]

*Since we're rounding to the nearest inch.

Answer:

B) y+3=-1/4(x-8) hope this helps! :D

Step-by-step explanation:

point-slope formula is y-y1=m(x-x1)

y1 and x1 are coordinates, aka a point

The answer ur looking for is B

Answer:

27.9 mm2

27.9 mm2 = 2.79 × 10^ -5 m2

Answer:

[tex]125.3 \times 3 = 375.9[/tex]

[tex]125.3 \times \frac{3}{4} = 93.975[/tex]

[tex]375.9 + 93.975 = 469.875[/tex]

Answer:  No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.

Step-by-step explanation:

A representative sample has to be in proportion, and the diagram shows that the greater part is not represented in proportion. Because it is not represented in proportion, it is not a representative sample.

Answer: C

Answer:

Letter C because the sample size is not in proportion to the rest of the weeds in the grass.

Step-by-step explanation:

Also, I use Ed_genuity too did u rlly need to blur out time left lol

Answer:

C.  522 m^2.

Step-by-step explanation:

The area of the 3 rectangles in the net

= 10 * (9 + 16.6 + 14)

= 10 * 39.6

= 396. m^2.

The area of the 2 triangles

=  2 * 1/2 * 14 * 9

= 126 m^2.

Total surface area =  522 m^2.

Answer:

11/3 . . . or . . . 3 2/3

Step-by-step explanation:

Adding the three equations will give 2x+2y+2z:

(x +y) +(y +z) +(z +x) = 6 +7 +9

2x +2y +2z = 22

Dividing by 2 gives the sum of three variables:

x +y +z = 11

The average of x, y, and z is their sum divided by 3:

(x +y +z)/3 = 11/3

Answer:

Step-by-step explanation:

Write down what you have for each pizza size.

small: s

Medium: (3/2) s

Large: (5/2) s

The only way I can see to do this is

s = L - M

s = 5/2 s  -   3/2 s

s = 2/2 s

This of course is not exactly what you are looking for. There is no explicit formula that will tell you exactly how much dough is in a small pizza.

See the comment below posted by SqdanceFan. He is saying that M/L = (3/2)//(5/2) = 3/5

Also (M)/( S + M)  =  3/5

But neither gives you an explicit formula for small, but it is a relationship. The fact that equality is achieved when both are zero is also true, but it does not solve the question. I don't think there's a good answer to this question.

Answer:

y + 13 = 5(x + 2)

Step-by-step explanation:

y=5x-3 what is the point slope form of this equation?

The point-slope form looks like y - k = m(x - h), where (h, k) is the given point and m is the given slope.

Here the given point is (-2, -13).  Therefore, the desired equation is:

y -(-13) = 5( x - [-2] ), or

y + 13 = 5(x + 2)

Answer:

[tex]y+13=5(x+2)[/tex]

Step-by-step explanation:

The given function passes through (-2,-13).

The slope-intercept form of this equation is [tex]y=5x-3[/tex].

This implies that; the slope of the given function is;

[tex]m=5[/tex]

The point-slope form of this function is given by the formula;

[tex]y-y_1=m(x-x_1)[/tex]

We have [tex](x_1,y_1)=(-2,-13)[/tex]

We substitute the point and the slope into the function to obtain;

[tex]y--13=5(x--2)[/tex]

[tex]y+13=5(x+2)[/tex]

Answer:

A)$1667 in 7.5%, $833 in 6%

Step-by-step explanation:

Let amount of money invested 6% account = x

Let amount of money invested 7.5% account = y

Then we get equations:

x+y=2500

or x=2500-y ...(i)

6% of x+7.5% of y=7% of (2500)

or 0.06x+0.075y=0.07(2500)

or 60x+75y=175000...(ii)

plug (i) into (ii)

60x+75y=175000

60(2500-y)+75y=175000

150000-60y+75y=175000

-60y+75y=175000-150000

15y=25000

y=$1666.66666667

or y=1667

plug into (i)

x=2500-y=2500-1667=833

Hence final answer is A)$1667 in 7.5%, $833 in 6%

the answer is B because you will add and subtract each element with it's corresponding one

The result of this operation is option B. This is obtained by using matrix addition and subtraction.

Adding and subtracting the terms of the matrix since these are matrices with same order. Hence we get,

[tex](\left[\begin{array}{ccc}13&10&7\\6&8&1\\2&5&0\end{array}\right] -\left[\begin{array}{ccc}3&-2&6\\14&-6&11\\8&-12&9\end{array}\right] ) +\left[\begin{array}{ccc}6&10&15\\10&0&9\\1&0&7\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}10&12&1\\-8&14&-10\\-6&17&-9\end{array}\right] +\left[\begin{array}{ccc}6&10&15\\10&0&9\\1&0&7\end{array}\right][/tex]

=[tex]\left[\begin{array}{ccc}16&22&16\\2&14&-1\\-5&17&-2\end{array}\right][/tex]

Thus the required matrix is option B.

Learn more about matrix addition and subtraction here:

brainly.com/question/34923885

#SPJ2

Answer:

132 calories in a bowl that holds 2 servings

Step-by-step explanation:

In order to find what 1 serving equals, you have to divide 858 by 13 and you get 66, but since the bowl holds 2 servings you have to multiply 66 by 2 and you get 132

Answer:

78

Step-by-step explanation:

Subtract 2 serving out of 13 and the then divide 858 by the number.

Answer:

36

Step-by-step explanation:

half dollar equals 50 cents.

72/2=35

Answer:

36

Step-by-step explanation:

divide it by two since it says that each are half a dollar meaning 50 cents each.

Answer:

help me first

Step-by-step explanation:

Answer:

200.96

Step-by-step explanation:

First, divide 50.24 by the pi (3.14)

50.24 / 3.14 = 16

Second, divide 16 by two (so that the radius is found).

16 / 2 = 8

Now that we have the radius length, solve for the area.

area of circle = πr^2

Area of circle = (3.14) (8^2)

Area of circle = 3.14 x 64

Area of circle = 200.96

Answer:

8.4 in. per seconds

Step-by-step explanation:

14yd=42ft.

42ft=504in per min

504/60=1 min / 60

8.4=1 sec.

Answer:

8.4 inches/second

Step-by-step explanation:

1 yd = 3 ft

1 ft = 12 inches

1 minute = 60 seconds

These are the conversion factors we need to convert 14 yds /minutes to inches per second

14 yds        3 ft

--------  * -------------

minutes    yd

The yds cancel and we are left with

42 ft

--------

minutes

42 ft        12 inches

-------- * ------------------

minutes   1 ft

The feet cancel

504 inches

-------------------

minutes

504 inches          1 minute

------------------- *--------------

minutes                60 seconds

The minutes cancel

504 inches

------------------

60 seconds

Simplifying the numbers

8.4 inches

----------------

second

Answer:

[tex]\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}[/tex]

Step-by-step explanation:

f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4

Step 1. Calculate the difference between the functions

(a) Write the two functions, one above the other, in decreasing order of exponents.

ƒ(x) = 9x³ + 2x² - 5x + 4

g(x) = 5x³           - 7x + 4

(b) Create a subtraction problem using the two functions

        ƒ(x) =    9x³ + 2x² - 5x + 4

      -g(x) =  -(5x³           - 7x + 4)

ƒ(x) -g(x)=

(c). Subtract terms with the same exponent of x

        ƒ(x)   =    9x³ + 2x² - 5x + 4

      -g(x)  =   -(5x³          -  7x + 4)

ƒ(x) -g(x) =      4x³ + 2x² + 2x

Step 2. Factor the expression

y = 4x³ + 2x² + 2x

Factor 2x from each term

y = 2x(2x² + x + 1)

[tex]\boxed{f(x) - g(x) = 2x(2x^{2} + x + 1)}[/tex]

Answer:

option B 5

option D -6

Step-by-step explanation:

Given in the question an inequality

x² > 16

Step 1

Take square root on both sides of inequality

√x² > ±√16

x < -√16 or x > √16

x < -4 or x > 4

Step 2

-4 > x > 4

x = 5 x > 4    accepted

x = -6 x < -4   accepted

Step 3

x = 4 rejected

x = -1 rejected

Answer:

Option 1

Step-by-step explanation:

In order to find the value of the function at x=6, we have to replace x by 6 in the given function.

[tex]f(x)=\frac{3}{2}x -\frac{1}{2}[/tex]

Replacing(Substituting) x = 6 in above equation we get:

[tex]f(6)=\frac{3}{2} (6) -\frac{1}{2}\\\\f(6)=9-\frac{1}{2}\\\\ f(6)=\frac{18}{2}-\frac{1}{2}\\\\ f(6)=\frac{17}{2}\\\\ f(6)=8\frac{1}{2}[/tex]

Thus, 1st option gives the correct answer.

Answer:

The correct answer is option 1

8 1/2

Step-by-step explanation:

It is given that,

f(x) = 3x/2 - 1/2

We have to find f(x) when x = 6

To find the value of f(6)

we have, f(x) = 3x/2 - 1/2

when x = 6

f(x) = f(6)

f(6) = (3 * 6)/2 - 1/2

 = 18/2 - 1/2

 = (18 - 1)/2 = 17/2

 = 8 1/2

Therefore the correct answer is first option

For this case, we have that by definition, be given two functions f (x) and g (x). So:

[tex](f-g) (x) = f (x) -g (x)[/tex]

We have:[tex]f (x) = - 3x-5\\g (x) = 4x-2[/tex]

So:

(f-g) (x) = - 3x-5- (4x-2)

We have to:

[tex]- * + = -\\(f-g) (x) = - 3x-5-4x + 2[/tex]

Equal signs are added and the same sign is placed while different signs are subtracted and the sign of the greater is placed

[tex](f-g) (x) = - 7x-3[/tex]

Answer:

Option D

Answer:

480 in

BTW: Who could be that tall other than "Jonathan" of course?

Step-by-step explanation:

If you use subtraction...

6514-6034=480

to solve this problem subtract 6034 from 6514 to get 480

So he grew 480 inches which is equivalent to 40 feet

Answer:

C

Step-by-step explanation:

We can see that there is a closed dot and the function is going left and it is a cubic function.

Additionally, the only one with a [tex]x^3+n\leq 2[/tex] inequality is C.

Answer:

Option B. [tex]9x^{3}-2x^{2}-4x-2[/tex]

Step-by-step explanation:

we have

[tex]7x^{3}-2x^{2} +5[/tex]

[tex]2x^{3}-4x-7[/tex]

Adds the polynomial

Group terms that contain the same variable

[tex](7x^{3}+2x^{3})-2x^{2}-4x+(5-7)[/tex]

Combine like terms

[tex]9x^{3}-2x^{2}-4x-2[/tex]

Janice's error was

[tex]-2x^{2} +5-4x-7=6x^{2}-12[/tex]

so

[tex]-2x^{2}-4x=6x^{2}[/tex]

instead

[tex]-2x^{2}-4x=-2x^{2}-4x[/tex]

and

[tex]5-7=-12[/tex]

instead

[tex]5-7=-2[/tex]  

Answer:

B

Step-by-step explanation:

Edge 2022

Hello,

Starting with problem one:

Subtract 66 from both sides.

z2−9z−66=66−66

z2−9z−66=0

Use quadratic formula with a=1, b=-9, c=-66.

z = 9/2+1/2√345

Problem two:

Subtract 17 from both sides.

y^2+16y−17=17−17

y^2+16y−17=0

Factor left side of equation.

(y−1)(y+17)=0

Set factors equal to 0.

y−1=0 or y+17=0

y=1 or y=−17

ANSWER: y=1 or y=−17

Problem 3:

2h^2−5h−(−1)=−1−(−1)

2h^2−5h+1=0

Use quadratic formula with a=2, b=-5, c=1.

ANSWER: h=5/4+1/4√17

Have an amazing day.

Answer:

Choice B is correct

Step-by-step explanation:

The normal distribution has extensive applications in statistics. The distribution is characterized by a symmetric bell-shaped density curve. Most of the observations or data points fall in the middle of the distribution while both the right and left tails are equally longer.

The histogram that can be approximated by a normal distribution must meet the above conditions.

The histogram in alternative A is skewed to the right since most of the values fall in the lower end of the distribution. A skewed distribution is not symmetric.

The histogram in choice C is approximately uniformly distributed since most of the observed values have an approximately equal frequency. Each of the values is approximately equally likely. The uniform distribution is not symmetric.

The histogram in D follows no know pattern and nevertheless it lacks the symmetric property.

The histogram in B is approximately symmetric in distribution since most of the observed data values fall in the middle of the distribution while the left and right tails are nearly equal. This histogram can thus be approximated by a normal distribution.

Answer:

Bill

Step-by-step explanation:

Answer:

Bill ran faster than Joe.

Step-by-step explanation:

On average Bill ran each 100m in 13.50s while Joe ran each 100m in 14.33s.

Answer:

piccctures?

Step-by-step explanation:

We know that functions are mathematical entities that assign unique outputs to given inputs. In other words, a function can't have repeated values in the input repeated x-value.

For example consider the relation {(1,4), (1,5), (2,6), (3,7), (4,8), (5,9)}.

We see that above relation has repeated x-value "1" which is assigned to two different output values 4 and 5. So by definition of function, above relation can't be a function.

Answer:

5. He rented 7 new releases videos

6. 4 3-bedrooms units.

7. length: 37, width: 18

8. 81 dimes, 47 quarters

Step-by-step explanation:

5. Videos

X: New releases

Y: Regular titles

EQ1: x + y = 18 (he rented 18 videos)

EQ2: 3x + 2y = 43 (he paid $43 for the 18 videos)

By EQ1, we can isolate y-value as y = 18 - x

We place this y-value into EQ2:

3x + 2(18 - x) = 43 and we solve:

3x + 36 - 2x = 43

3x - 2x = 43 - 36

x = 7

He rented 7 new releases videos

6. bedroom units

X: 2-bedrooms units

Y: 3-bedrooms units

EQ1: x + y = 7 (they have 7 units)

EQ2: 450x + 650y = 3950 (their monthly renting revenues)

By EQ1, we can isolate x as x = 7 - y (since we're looking for 3-bedrooms units), and place that value in EQ2:

450 (7 - y) + 650y = 3950

3150 - 450y + 650y = 3950

200y = 800

y = 4

So, they have 4 3-bedrooms units.

7. Rectangle

X:  length

Y: width

EQ1: x + y = 55 (since perimeter is 110 and includes 2x + 2y)

EQ2: x = 2y + 1 (length is twice the with, plus 1)

Since we are asked to find both values, it doesn't matter by which we begin.  By EQ1, we can do x = 55 -y, and place that value in EQ2, to get:

55 - y = 2y + 1

54 = 3y

y = 18

Place y = 18 in EQ1 to find x:

x + 18 = 55

x = 37

8. Dimes and quarters

X:  dimes

Y:  quarters

EQ1:  x = y + 34 (34 more dimes than quarters)

EQ2: 10x + 25y = 1985 (total value of the collection)

Let's place the value of x from EQ1 in EQ2:

10 (y + 34) + 25y = 1985

10y + 340 + 25y = 1985

35y = 1645

y = 47

From EQ1, we then have

x = 47 + 34 = 81

So, we have 81 dimes ($8.10) and 47 quarters ($11.75), for a total of $19.85.