An art class offered painting classes on 22 out of 3” days in September. What decimal is equivalent to the fraction of days in September that classes were offered?

Answer:

[tex]log 9! = a-1[/tex]

Step-by-step explanation:

[tex](log10! = a) = (10^{a} = 10!)\\\\\\10! = 10 * 9 * 8 * 7 ...\\\\10^a = 10 * 9 * 8 * 7 ...\\\\10^a = 10 * 9!\\\\\frac{10^a}{10^1} = 9!\\\\10^{a-1} = 9!\\\\log9! = a-1[/tex]

The expression for log 9! in terms of a is [tex]log9! = a - 1[/tex].

Given that,

Based on the above information, the calculation is as follows:

[tex](log10! = a) = (10^{a} = 10!)\\\\10! = 10\times 9\times 8\times 7\\\\10^{a} = = 10\times 9\times 8\times 7\\\\10^{a} = 10\times 9!\\\\\frac{10^{a}}{10^{1}} = 9!\\\\10^{a - 1} = 9!\\\\log9! = a - 1[/tex]

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Answer:

240

Step-by-step explanation:

50% is the same as 50/100.

50/100=0.5

Then, multiply 0.5 by 480 (the same as dividing it by 2)

480*0.5= 240

Answer:

Donna traveled for 8 hours at 90 mph

Maple traveled for 4 hours at 50 mph

Step-by-step explanation:

The velocity at which each person traveled is given by the distance traveled divided by the time spent (t). From the information given, the following expressions can be written

[tex]t_d = 2t_m\\V_d = V_m+40\\V_d = \frac{720}{t_d}\\V_m = \frac{200}{t_m}\\\\V_d = \frac{360}{t_m}\\ \frac{360}{t_m}=\frac{200}{t_m}+40\\t_m = 4\ hours\\t_d=2*4 = 8\ hours\\\\V_d = \frac{720}{8}=90\ mph\\V_m = \frac{200}{4}=50\ mph\\[/tex]

Therefore, Donna traveled for 8 hours at 90 mph and Maple traveled for 4 hours at 50 mph.

Answer:

6

Step-by-step explanation:

R=3b

L=b+12

R= 3x6=18

L=6+12=18

Answer:

10 dimes

Step-by-step explanation:  10 cents x 6 = 60 cents

Answer:

[tex]16y^{4} -256x^{12} =16(y^{4} -16x^{12})\\ 16[(y^{2})^{2}-(4x^{6})^{2} ]\\ =16(y^{2} -4x^{6})(y^{2} +4x^{6}) \\\\=16(y^{2} -(2x^{3})^{2}) (y^{2} +4x^{6}) \\=16(y-2x^{3})(y+2x^{3}) (y^{2} +4x^{6}) \\[/tex]

Step-by-step explanation:

Answer:

16y4 - 625x4 = (4y2 + 25x2)(2y + 5x)(2y-5x)

Step-by-step explanation:

dis right

Answer:

i think the answer is C

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

Uh here's what I did:

-2x-6= -10

Add 6 to both sides.

-2x=-4

Divide both sides by -2

x=2

Answer:

$5.94

Step-by-step explanation:

12.78 + 10% (1.28) = 14.06

20.00 - 14.06 = 5.94

Answer:

16.06 ft

Step-by-step explanation:

The figure is attached below.

In triangle ACB:

[tex]tan(41)=\frac{x}{y} \\x=ytan(41)[/tex]

In triangle ADB:

[tex]tan(25)=\frac{x}{y+10} \\(y+10)tan(41)=x[/tex]

Therefore equating both equations gives:

[tex]ytan(41) = (y+10)tan(25)\\ytan(41) = ytan(25)+10tan(25)\\ytan(41)-ytan(25)=10tan(25)\\y(tan(41)-tan(25))=10tan(25)\\y=\frac{10tan(25)}{(tan(41)-tan(25)} =11.5715ft[/tex]

Therefore x = 11.5715*tan(41) = 10.06 ft

The distance of the jot air balloon to ground = 10.06 + 6 = 16.06 ft

Answer:

Diameter = 212 cm

Step-by-step explanation:

D= 2r

Answer:

A =2.5 cm^2

Step-by-step explanation:

The area of a circle is

A = pi r^2 where r is the radius

r = d/2 where d is the diameter

r = 1.8 /2 = .9

A = 3.142 ( .9)^2

A=2.54502

Round to 1 decimal place

A =2.5 cm^2

Distance formula: d = √(x2-x1)^2 + (y2-y1)^2

d = √(5-2)^2 + (10-6)^2

d = √3^2 + 4^2

d = √9 + 16

d = √25

d = 5

The distance is 5 units.

Best of Luck!

Answer:

66 ft^2

Step-by-step explanation:

the formula for the area of a triangle is b x h over 2. the base is 22 and the height is 6. 22 x 6=132. 132/2=66

Answer:Regina recieved $14 dollars of change

Step-by-step explanation:

12+14=26

40-26=14

The change received by Regina is $14.

A word problem is a verbal description of a problem situation. It consists of  few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Regina bought a book for price = $12

Regina bought a game for price = $14

Total amount paid by Regina = $40

The Regina should receive the change,

⇒ [tex]Change = 40-(12+14)[/tex]

⇒ [tex]Change = 40-26[/tex]

⇒ [tex]Change = 14[/tex]

Hence we can conclude that the change received by Regina is $14.

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Answer:

area is 90 and perimeter is 46

Step-by-step explanation:

the area for a rectangle is l * w, so 18*5 is 90, and the perimeter is 2l+2w, which is 46.

Answer:

Area 90

perimeter 46

Step-by-step explanation:

To find area, you multiply both sides.

to find perimeter, you add up all the sides. Make sure to double each number.

Answer: 73

Step-by-step explanation:

[tex]7d^2+10\\d=3[/tex]

[tex]7(3)^2+10\\7(9)+10\\63+10\\73[/tex]

Answer:

73

Step-by-step explanation:

d =3

-> 7 * [tex]3^{2}[/tex] + 10 = 7*9 +10 = 63+10 = 73

Answer

(x+3) -5

Step-by-step explanation:

plug the values into the parent transformation equation to its rightful places

Answer:

Lana can put 24 drops of bubble bath for her sister

Step-by-step explanation:

If package says to put in a drop of bubble bath for every half gallon of water in the bath tub.

If the bathtub can hold 12 gallons of water

There are 12÷1/2 gallon

=12×2/1

=24

It means there are 24 half gallons in the bathtub

If every half gallon of water requires a drop of the bubble bath

Then,

24 half gallons of water requires 24 drops of the bubble bath

Answer:

A: 2 acute and 1 right

Step-by-step explanation:

A triangle is a polygon that has 3 sides as well as three angles

Triangles can be can be classified based on their three sides as well as their three angles.

Based on their sides, we have 3 types of triangles.

1. Equilateral triangle: This means they have 3 equal sides.

2. Isoceles triangle: They have only 2 equal sides.

3. Scalene triangle: The 3 sides are not equal

Based on their angles, we have 3 triangles.

a. Acute triangle

b. Obtuse triangle

c. Right angle triangle.

One of the way by which we can form a triangle, is by forming it with 2 acute angles and 1 right angle.

Answer:

The correct option is;

A: 2 acute and 1 right

Step-by-step explanation:

Here we have the definitions of the angles as follows;

The sum of angles in a triangle = 180°

An acute angle is an angle less than 90°

An obtuse angle is an angle more 90 ° but less 180°

A right angle triangle is an angle equal to 90°

∴ A right angle triangle is an angle = 90°

Therefore, we compare each of the options

A: 2 acute and 1 right = <90 +<90 +90 < 180 =180 or >180 Possible

B: 1 acute and 2 obtuse = 1<90 + > 90 +>90 > 180°

C: 1 acute and 2 right = <90 + 90 + 90 > 180

D: 1 acute + 1 right + 1 obtuse = <90 + 90 + >90 > 180

Therefore, the only possible correct option is A.

Answer:

300 Backpacks each week]

Step-by-step explanation:

dont have an explanation srry but the answer is totally 300 backpacks a week

Answer:

30

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

When kicked, the height of the ball is 1 feet. The highest point for the ball's trajectory is 12 feet.

Step-by-step explanation:

We are given that the height is given by [tex]f(x)=-0.11x^2+2.2x+1[/tex]. The distance between the ball to the point where it was kicked is 0 right at the moment the ball was kicked. So, the height of the ball, when it was kicked is f(0) = -0.11*0 + 2.2*0 +1  = 1.

To determine the highest point, we will proceed as follows. Given a parabola of the form x^2+bx + c, we can complete the square by adding and substracting the factor b^2/4. So, we get that

[tex] x^2+bx+c = x^2+bx+\frac{b^2}{4} - \frac{b^2}{4} +c = (x+\frac{b}{2})^2+c-\frac{b^2}{4}[/tex].

In this scenario, the highest/lowest points is [tex]c-\frac{b^2}{4}[/tex} (It depends on the coefficient that multiplies x^2. If it is positive, then it is the lowest point, and it is the highest otherwise).

Then, we can proceed as follows.

[tex] f(x) = -0.11x^2+2.2x+1 = -0.11(x^2-20x)+1[/tex]

We will complete the square for [tex]x^2-20x[/tex]. In this case b=-20, so

[tex] f(x) = -0.11(x^2-20x+\frac{400}{4}-\frac{400}{4})+1 = -0.11(x^2-20x+100-100)+1[/tex]

We can distribute -0.11 to the number -100, so we can take it out of the parenthesis, then

[tex] f(x) = -0.11(x^2-20x+100)+1+100*0.11 = -0.11(x^2-20x+100)+1+11 = -0.11(x-10)^2+12[/tex]

So, the highest point in the ball's trajectory is 12 feet.

Answer:

Initial height = 1ft

Heighest height = 12ft

Step-by-step explanation:

In order to solve this problem, we can start by graphing the given height function. This will help us visualize the problem better and even directly finding the answers, since if you graph it correctly, you can directly find the desired values on the graph. (See attached picture)

So, the initical height happens when the x-value is equal to zero (starting point) so all we need to do there is substitute every x for zero so we get:

[tex]f(x)=-0.11x^{2}+2.2x+1[/tex]

[tex]f(0)=-0.11(0)^{2}+2.2(0)+1[/tex]

which yields:

[tex]f(0)=1 [/tex]

so the height of the ball when it is kicked is 1 ft.

In order to find the highest point of the ball in the air, we must determine the x-value where this will happen and that can be found by calculating the vertex of the parabola. (see the graph)

the vertex is found by using the following formula:

[tex]x=-\frac{b}{2a}[/tex]

in order to find "a" and "b" we must compare the given function with the standard form of a quadratic function:

[tex]f(x)=ax^{2}+bx+c[/tex]

[tex]f(x)=-0.11x^{2}+2.2x+1[/tex]

so:

a=-0.11

b=2.2

c=1

so the vertex formula will be:

[tex]x=-\frac{b}{2a}[/tex]

[tex]x=-\frac{2.2}{2(-0.11)}[/tex]

so we get that the highest point will happen when x=10ft

so the highest point will be:

[tex]f(10)=-0.11(10)^{2}+2.2(10)+1[/tex]

f(10)=12ft

so the highes point of the ball in the air will be (10,12) which means that the highest the ball will get is 12 ft.

Answer: 694.4 in^2

Step-by-step explanation:

We have a cylinder with:

diameter = d = 10 inches

heigth = h = 16 inches.

The total surface of a cylinder is equal to:

S = h*2*pi*(d/2) + 2*pi*(d/2)^2

we can replace the numbers and get:

S = 16*2*3.14*(10/2) + 2*3.14*(10/2)^2 = 659.4 inches squared

Answer:

w·v = -87

Step-by-step explanation:

The projection of a vector on another vector is given by the dot product between the vectors.

Thus, you calculate the dot product between w and v:

[tex]\vec{w}=(19,15)\\\\\vec{v}=(-3,-2)\\\\\vec{w}\cdot \vec{v}=(19,15)\cdot (-3,-2)\\\\\vec{w}\cdot \vec{v}=-57-30=-87[/tex]

So, the projection of w on v is -87

Answer:

The (population) standard deviation is 26 miles or [tex] \\ \sigma = 26[/tex] miles.

Step-by-step explanation:

We can solve this question using the concept of z-score or standardized value, which is given by the formula:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]

Where

[tex] \\ z[/tex] is the z-score.

[tex] \\ x[/tex] is the raw score.

[tex] \\ \mu[/tex] is the population's mean.

[tex] \\ \sigma[/tex] is the population standard deviation.

Analyzing the question, we have the following data to solve this question:

Therefore, using all this information, we can determine the (population) standard deviation using formula [1].

Then, substituting each value in this formula:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]

Solving it for [tex] \\ \sigma[/tex]

Multiplying each side of the formula by [tex] \\ \sigma[/tex]

[tex] \\ \sigma*z = (x - \mu) * \frac{\sigma}{\sigma}[/tex]

[tex] \\ \sigma*z = (x - \mu) * 1[/tex]

[tex] \\ \sigma*z = x - \mu[/tex]

Multiplying each side of the formula by [tex] \\ \frac{1}{z}[/tex]

[tex] \\ \frac{1}{z}*\sigma*z = \frac{1}{z}*(x - \mu)[/tex]

[tex] \\ \frac{z}{z}*\sigma = \frac{x - \mu}{z}[/tex]

[tex] \\ 1*\sigma = \frac{x - \mu}{z}[/tex]

[tex] \\ \sigma = \frac{x - \mu}{z}[/tex]

Then, this formula, solved for [tex] \\ \sigma[/tex], will permit us to find the value for the population standard deviation asked in the question.

[tex] \\ \sigma = \frac{431.8 - 450}{-0.7}[/tex]

[tex] \\ \sigma = \frac{-18.2}{-0.7}[/tex]

[tex] \\ \sigma = 26[/tex]

Thus, the (population) standard deviation is 26 miles or [tex] \\ \sigma = 26[/tex] miles.

13(9x)

13 * 9x = 117x

Answer:

[tex]117x[/tex]

Step-by-step explanation:

[tex]13(9x) \\ = 117x[/tex]

Answer:

On this picture, it is b, but for edge, it is c

Step-by-step explanation:

Answer:

c but b in the pic

Step-by-step explanation: