An ice cream shop has 24 flavors. Anne wants to buy a three scoop cone with three different flavors. How many cones could she buy if the order of the flavors is important.

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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Answer:

Step-by-step explanation:

x = 2, y = -5

√(2²+(-5)²) = √29

cosθ = 2/√29 = (2√29)/29

sinθ = -5/√29

cscθ = 1/sinθ = -√29/5

tanθ = sinθ/cosθ = -5/2

The values of cos theta is 2/\(\sqrt{29}\) , cosec theta is \(\sqrt{29} /5\) and tan theta is 5/2 if the point on the terminal side of theta is (2,-5).

It says that in a right angled triangle the square of the hypotenuse is equal to the sum of the square of base and square of height.

We have been given a point (2,-5) on the terminal side. Let us plot the point on the graph and join it with origin from both ends.

By pythagoras theorem we can easily find AC=\(\sqrt{5^{2}+2^{2} }\)

AC=\(\sqrt{29}\)

With the help of the sides of the triangle we can find the value of

cos theta=2/\(\sqrt{29}\)

cosec theta=\(\sqrt{29}\)/5

tan theta=5/2

Hence the values of cos theta, cosec theta, tan theta are 2/\(\sqrt{29}\),\(\sqrt{29}\)/5,5/2 respectively.

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Answer:

missing length = 6x - 5

Step-by-step explanation:

the perimeter is the sum of the 3 sides.

subtract the sum of the 2 given sides from the perimeter for missing side, that is

10x - 6 - (x + 1 + 3x - 2)

= 10x - 6 - (4x - 1 ) ← distribute parenthesis by - 1

= 10x - 6 - 4x + 1 ← collect like terms

= 6x - 5

missing length = 6x - 5

The value of f(-1) in the graph is 1.

In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The graph leads to the following finding:

The values of f(-1) for x = -1 are -1 and -3.

The function does, however, have a closed circle at f(-1) = 1.

The function has an open circle at f(-1) = -3.

A closed circle represents inclusive principles.

Hence, the graph's value for f(-1) is 1.

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Answer:

plane because i know what it is                                                                                                  

Answer: plane

Step-by-step explanation: I just did it

The consumer surplus is approximately $145.83.

To find the consumer surplus, we first need to find the demand function's inverse, which gives us the willingness to pay for each unit of the product. The demand function is:

D(x) = √(739 - 3x)

Setting D(x) equal to the equilibrium price of $25, we get:

25 = √(739 - 3x)

Squaring both sides, we get:

625 = 739 - 3x

Solving for x, we get:

So at a price of $25 per unit, the consumer is willing to buy 38 units per month.

Now we can calculate the consumer's surplus.

The consumer\(x = (739 - 625) / 3 = 38\) surplus is the difference between the total amount that consumers are willing to pay for a certain quantity of a good and the total amount they actually pay. In this case, the consumer's surplus can be calculated as:

\(CS = \int_0^{38} [D(x) - 25] dx\)

where D(x) is the demand function, and the integral is taken over the range of 0 to 38, which represents the quantity demanded at a price of $25 per unit.

Evaluating this integral, we get:

\(CS = \int_0^{38} [\sqrt{(739 - 3x)} - 25] dx\\\\= [1/6 (739 - 3x)^{(3/2)} - 25x]_0^{38}\\\\= \$ 145.83\)

Therefore, the consumer surplus is approximately $145.83.

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Answer:

y=1/2x+1

Step-by-step explanation:

you can literally do rise over run to get the answer

99,000 / 6,700,000 = 99 / 6700

1.4776% of the shares are owned by the mutual fund

so 1.5% if I round

please give brainliest

Answer:

Explanation:

easy way to solve:

\(x^2-6x-7=0\)

\(x^2+x-7x-7=0\)

\(x(x+1)-7(x+1) =0\)

\((x-7)(x+1)= 0\)

\(x = 7, -1\)

Mistake:

In step 5,

Josh should have given:

\((x-3)^2=16\)

\(x-3 = \pm \sqrt{16}\)     [ changing sides changes square sign to \(\pm\) square root ]

\(x-3 = \pm 4\)

\(x -3 = 4\), \(x-3 = -4\)

\(x = 7\), \(x = -1\)

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

You can still simplify by distributing 2 to 5m and n

The simplifyed version would be 10m-2n

Answer:

4/91

Step-by-step explanation:

There are a total of 15 marbles.  In the first selection there are 15 marbles and 6 are blue.  That would be 6/15.

Since we are not replacing marbles, we now have 14 marbles and we want to select one of the 5 white marbles.  That would be 5/14.

Lastly we now only have 13 marbles and of those we want to select one of the 4 red ones.  That would be 4/13.

Now we take these 3 fractions and multiply them together.

6/15(5/14)(4/13).  I am going to try to make this a little easier and see if I can find any factors that any top number shares with any bottom number.

I see 5 on the top shares a common factor with 15 on the bottom.  I will divide these numbers by 3, so now I have

6/3(1/14)(4/14).  I think that I can do better than that.  I see that 6 on the top and 3 on the bottom share a common factor of 3.  I will divide both of these numbers by 3.  Which will give me:

2/1(1/14)(4/13) I see a 4 on top and a 14 on the bottom.  Those are both divisible by 2 so, I will divided them both by 2 and that leaves me with

2/1(1/7)(2/13)  That is a lot easier, now I will just multiple the top numbers and multiply the bottom numbers to get

4/91

Answer:

\(\boxed{\sf \ \ \ 15a^5b^{15} \ \ \ }\)

Step-by-step explanation:

hello,

\((3a^2b^7) (5a^3b^8)=15a^{2+3}b^{7+8}=15a^5b^{15}\)

hope this helps

Answer:

linear

Step-by-step explanation:

linear equations are ones that go throught the origin if i remember correctly

Answer:

I think about point Y ......

If planes A and B intersect, point w describes the intersection of line m and line n.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements.

In the given figure, the planes A and B intersected.

We have to find the point where the line l and line m intersects.

The intersection of a line and a line can be the empty set, a point, or another line.

Two straight lines will intersect at a point if they are not parallel.

The point of intersection is the meeting point of two straight lines.

The lines m and line n are intersected at the point w.

Hence, if planes A and B intersect, point w describes the intersection of line m and line n.

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Answer:

68°

Step-by-step explanation:

The angles are equal to each other.  Set them equal and solve for x

5x + 18 = 8x - 12  Subtract 5x from both sides of the equation

18 = 3x - 12  Add 12 to both sides of the equation

30 = 3x  Divide both sides by 3

10 = x

Now that you have found x plug is back into  5x + 18

5(10) + 18

50 + 18 = 68

Answer:

∠ FLJ = 68°

Step-by-step explanation:

∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then

8x - 12 = 5x + 18 ( subtract 5x from both sides )

3x - 12 = 18 ( add 12 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Then

∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°

Answer:

21

Step-by-step explanation:

the price of the lower priced docs for that week would be 3x because the store sold 3 times as many low priced than the higher priced.

> so 90(3x) = 270x

170x + 270x = 440x

3080/440 = 7

7 high priced speakers were sold

to find out the cost of the lower ones you'd do

3x7 and get 21

Answer:

\(y=\frac{1}{3}x\)

*View attached graph*

Step-by-step explanation:

Point-slope: \(y-y_1=m(x-x_1)\)

m = slope (\(\frac{1}{3}\))

point (6,2)

\(y-y_1=m(x-x_1)\)

\(y-2=\frac{1}{3}(x-6)\)

\(y-2=\frac{1}{3}x-2\)  

  \(+2\)           \(+2\)

\(y=\frac{1}{3}x\)

Hope this helps!

The mathematical statement given as 0.09 is 1/10 as much as 0.90 is true

The mathematical statement is given as:

0.09 is 1/10 as much as 0.90

To determine if the above statement is true, we start by representing the statement as an equation

So, we have

0.09 = 1/10 * 0.90

Express 1/10 as decimal

So, we have

0.09 = 0.10 * 0.90

Evaluate the product

So, we have

0.09 = 0.09

The above equation is true

Hence, the mathematical statement given as 0.09 is 1/10 as much as 0.90 is true

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Possible question

Determine if the following statement is true or false

Answer:

x = -8

Step-by-step explanation:

-9 (x+2) = 54

-9x - 18 = 54

-9x = 72

x = -8

Hope this helps :)

Let me know if there are any mistakes!!

Answer:

The answer would be b i literay just took the thest

Step-by-step explanation:

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Answer:

16

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

\(\textsf{Given}:\)

\(-\sqrt{256}\)

\(\textsf{As $16 \cdot 16 = 256$, rewrite $256$ as $16^2$}:\)

\(\implies -\sqrt{16^2}\)

\(\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:\)

\(\implies -16\)

y intercept will be 0,-6 .

Given,

Amplitude = 6

Time period = pi

Phase shift = pi/4

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side(perpendicular) to that of the hypotenuse in a right-angled triangle.

The sine function is used to find the unknown angle or sides of a right angled triangle.

Mathematically,

sinФ = p/h

Now ,

Let us assume the phase shift to be on right side.

So the graph will be at negative y axis.

Thus the points will be 0 , -6 .

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If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.

Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.

From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.

Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.

So,

length of arc LNM=Circumference of circle-length of arc LKM.

We know that length of an arc =Θr

in which Θ is the angle in radian.

length of arc=70*π\(/180*5\)

=70π\(/36\)

Circumference of circle=2π*5

=10π

Length of arc LNM=10π-70π\(/36\)

=(360π-70π)\(/36\)

=290π\(/36\)

Put π=3.14

=290*3.14\(/36\)

=910.6\(/36\)

=25.29m

Hence the length of arc LNM is 25.29 m.

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The inequality that describes the possible value of x is

The triangles described gave the information to form the inequality equation

from the description it can be deduced that

m< bca = m< dce vertical angles

since side 12 is greater than 10 then m< bac > m< dec

therefore 50 > 5x - 10

solving for x

50 > 5x - 10

50 + 10 > 5x

60 > 5x

x < 12

therefore 2 < x < 12 is the inequality that represents x

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let's take a peek at the picture above, hmmm let's notice the vertex is at (-1 , 2), now let's get a point besides the vertex hmmm let's see it passes through (-2 , -1).

So we can reword that as what's the equation of a quadratic whose vertex is at (-1 , 2) and it passes through (-2 , -1)?

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-1\\ k=2\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 2\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases} \\\\\\ -1=a( ~~-2-(-1) ~~ )^2 + 2\implies -3=a(-2+1)^2\implies -3=a \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=-3(x+1)^2 + 2 \end{array}} ~\hfill~\)

Answer:

y = -3(x + 1)^2 + 2

Step-by-step explanation:

y = a(x - h)^2 + k is the vertex form of a quadratic, where

Finding (h, k):

We see from the graph that the vertex is a maximum and its coordinates are (-1, 2).  Thus h is -1 and k is 2.  Since h becomes negative, it will be 1 in the parentheses: (x - (-1) = (x + 1).

Finding a:

In order to find a, we will need to plug in a point on the parabola for (x, y) and (-1, 2) for h and k.  We see that (0, -1) lies on the parabola so we can use this point for (x, y).

-1 = a(0 - (-1))^2 + 2

-1 = a(0 + 1)^2 + 2

-3 = a(1)^2

-3 = a

Thus, a = -3.

Thus, the exact equation in vertex form of the parabola is:

y = -3(x + 1)^2 + 2

I attached a picture from Desmos Graphing Calculator that shows how the equation I provided works and contains the two points you marked on the parabola, including (-1, 2) aka the maximum, and (0, -1) aka the y-intercept.

The true statement regarding the equation x² + y² - 3x + 6y = 7x + 2 is that it has a area of 36π sq. unit ,  correct option is (b) .

In the question ,

it is given that ,

the equation is x² + y² - 3x + 6y = 7x + 2 ,

On simplifying and rewriting the equation ,

we get ,

x² - 10x + 25 + y² + 6y + 9 = 36

further it can be written as ;

(x - 5)² \(+\) (y \(+\) 3)² \(=\) 36

(x - 5)² + (y + 3)² = 6²

the equation represents a circle .

So , the from the above equation we can conclude that :

the center of the circle will be  = (5,-3) .

the radius is = 6 units .

the diameter will be = 12 units , and

the area of the circle will be = πr² = 36π square units .

So , the statement that matches with the information is that the area is 36π square units .  

Therefore , the True statement is (b) it has a area of 36π sq. units  .

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The value of the expression given as 3 - √x⁵ is 3 - x^2√x

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

3 - √x⁵

Express 5 as the sum of 4 and 1

So, we have the following equation

3 - √x⁵ = 3 - √x^(4 + 1)

Apply the law of indices to expand the equation

So, we have the following equation

3 - √x⁵ = 3 - √(x^4 * x)

Next, we expand the equation

So, we have the following equation

3 - √x⁵ = 3 - √x^4 * √x

Evaluate the square root of x^4

So, we have the following equation

3 - √x⁵ = 3 - x^2 * √x

Evaluate the product

So, we have the following equation

3 - √x⁵ = 3 - x^2√x

Hence, the value of the expression is 3 - x^2√x

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Answer:

The answer is

13)CE

14)EG

15)BD

16)BF