Find the value of x if m arc ADC = (4x + 4)° and m angle ABC = 150°.

Answer:

Total online purchase is $26.473 .

Step-by-step explanation:

As given

Natasha places an online order for plate holders to display her antique plates.

Natasha orders 3 large holders for $4.95 each, 2 medium holders for $3.25 each and 2 small holders for $1.75 each.

Thus

Total purchase of Natasha = Number of large holders × Cost of each large holder + Number of medium holders × Cost of each medium holder +  Number of small holders × Cost of each small holder .

Put all the values in the above

Total purchase of Natasha = 3 × $4.95+ 2 × $3.25 + 2 × $1.75

                                            = $14.85 + $6.5 + $3.5

                                            = $ 24.85

As given

Site has a promotional offer of 15% off on all purchases.

15% is written in the decimal form

[tex]= \frac{15}{100}[/tex]

= 0.15

Discount amount = 0.15 × Total purchase of Natasha .

                             = 0.15 × $24.85

                             = $ 3.7275

Thus

Total purchase of Natasha after discount = Total purchase of Natasha - Discount amount .

                                                                     = $24.85 - $3.7275

                                                                     = $ 21.1225

As given

Natasha must pay a flat rate of $5.35 for shipping and handling.

Thus

Total online purchase of Natasha = Total purchase of Natasha after discount + Flat rate for shipping and handling .

Total online purchase of Natasha = $21.1225 + $5.35

                                                        = $ 26.4725

                                                        = $26.473 (Approx)

Therefore the total online purchase is $26.473 .

Answer:

the order Natasha places is as follows;

3 large holders - $4.95 each - 4.95*3 = 14.85

2 medium holders - $3.25 each - 3.25*2 = 6.5 

2 small holders - $1.75 each - 1.75*2 = 3.5

Total value for purchases is - 14.85 + 6.5 + 3.5 = 24.85

she gets 15% for all purchases therefore she has to pay only 85% of the purchase value 

$24.85 * 85% = $21.1225

She has to pay an additional $5.35 for shipping and handling 

therefore the total amount she has to pay is = 21.1225 + 5.35

total amount = 26.4725 this rounded off to second decimal place,

correct answer 

C - $26.47

Answer:

12a^3 + 2a^2 + 23a + 18    

Step-by-step explanation:

Please use the " ^ " symbol to represent exponentiation:   4a^2 – 2a + 9.

Now carry out the multiplication as follows:

First, multiply each term in 4a^2 – 2a + 9 by 3a:  12a^3 - 6a^2 + 27a.

Next, multiply each term in 4a^2 – 2a + 9 by 2:  8a^ 2 - 4a + 18.

Now combine like terms:

12a^3 - 6a^2 + 27a

            8a^ 2 - 4a + 18

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

12a^3 + 2a^2 + 23a + 18                

Answer:

(- 4, 1 )

Step-by-step explanation:

A translation (x + 1), y - 3 ) means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate.

B = (- 5, 4 ), thus

B' = (- 5 + 1, 4 - 3 ) = (- 4, 1 )

[tex]B=(-5,4)\\\\B'=(-5+1,4-3)\\B'=(-4,1)[/tex]

Answer:

Step-by-step explanation:

The graph of even function is symmetrical about the y-axis.

The graph of odd function is symmetrical about the origin.

A. even

B. odd

C. odd

D. neither

(look at the picture)

Answer:

I would be A

Step-by-step explanation:

It has symmetry across the y axis

Answer:

  V = 99π in³; S = 81π in²

Step-by-step explanation:

Volume is that of a hemisphere of radius 3 in together with that of a cylinder of radius 3 in and height 9 in.

  V = (2/3)πr³ +πr²h = (πr²)(2/3r +h)

  = 9π(2 +9) = 99π . . . . in³

__

The area is that of a hemisphere, the side of the cylinder, and the circular bottom of the cylinder.

  S = 2πr² +2πrh +πr² = πr(2r +2h +r)

  S = 3π(6+18 +3) = 81π . . . . in²

Answer: The answer would be 333

Step-by-step explanation: Hope this was helpful

To make at least $5,000, Anna must sell a minimum of 200 at-the-door tickets priced at $25 each. This is the minimum required, but the venue's capacity allows for selling up to 400 tickets to potentially exceed the fundraising goal.

The question asks us to calculate the minimum number of at-the-door tickets Anna needs to sell to meet the fundraiser target of at least $5,000, given the constraints of the venue capacity and the ticket prices. This can be solved by first identifying the total amount needed to be raised and then calculating the number of at-the-door tickets needed if no pre-sale tickets are sold.

Since at-the-door tickets sell for $25 each, we divide the total amount Anna wants to raise ($5,000) by the price of each at-the-door ticket:

$5,000 ÷ $25 = 200 tickets

This means Anna will have to sell at least 200 at-the-door tickets to raise $5,000. However, the venue limits the capacity to 400 people, and it is not specified how many pre-sale tickets are sold. To ensure reaching the target, assuming no pre-sale tickets are sold, Anna should aim to sell all 400 tickets at the door. Selling any fewer at the door would require pre-sale tickets to make up the difference to reach the $5,000 target.

Therefore, the minimum number of at-the-door tickets Anna needs to sell to reach the $5,000 goal is 200, although to fully utilize the venue's capacity and potentially exceed the target, she can sell up to 400 tickets at the door.

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Answer:

The total interest earned is $1,439.

Step-by-step explanation:

Consider the provided information:

Florence Tyler invests $6,500 in a 4-year certificate of deposit that earns interest at an annual rate of 5% compounded daily.

Now, Use the formula: [tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where, A is the total amount (after adding interest), P is the principal (investment or loan), r is the interest rate, n is compound, and t is the time (in years).

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

[tex]A=6500(1+\frac{0.05}{365} )^{4(365)}[/tex]

[tex]A=6500(1.00014)^{1460}[/tex]

[tex]A=6500(1.22139)[/tex]

[tex]A=7939.00918[/tex]

Therefore total interest earned is:  

$7,939.00 - $6500 = $1,439.00

Hence, interest earned is $1,439.

Answer:

Step-by-step explanation:

5/3lit

Answer:young boy

Step-by-step explanation:two two

Answer:

x=7

Step-by-step explanation:

Since this is a parallelogram, you can say that the 5x+3 will equal to 38 in this situation. 38-3 =35.

[tex]\frac{35}{5} \\\\x=7[/tex]

So the answer is 7

Answer:

[tex]f(x)=120,000(1.055)^{x}[/tex]

Step-by-step explanation:

In this problem we have a exponential function of the form

[tex]f(x)=a(b)^{x}[/tex]

where

f(x) a home's value

x the number of years

a is the initial value

b is the base

b=(1+r)

r is the rate of grown

we have

a=$120,000

r=5.5%=5.5/100=0.055

b=1+0.055=1.055

substitute

[tex]f(x)=120,000(1.055)^{x}[/tex]

Answer:

It is In fact C. f(x) = 120,000(1.055)x

Step-by-step explanation:

Took this on Edg, it's right.

a.

a^2 + b^2 = c^2

The legs are a and b. c is the hypotenuse.

Let a = 6x + 9y; b = 8x + 12y; c = 10x + 15y

The equation is:

(6x + 9y)^2 + (8x + 12y)^2 = (10x + 15y)^2

b.

Now we square each binomial and combine like terms on each side.

36x^2 + 108xy + 81y^2 + 64x^2 + 192 xy + 144y = 100x^2 + 300xy + 225y^2

36x^2 + 64x^2 + 108xy + 192xy + 81y^2 + 144y^2 = 100x^2 + 300xy + 225y^2

100x^2 + 300xy + 225y^2 = 100x^2 + 300xy + 225y^2

The two sides are equal, so it is an identity.

Answer:

see below

Step-by-step explanation:

a  The pythagorean theorem is a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + b^2 = c^2

(6x+9y)^2 + (8x+12y)^2 = (10x + 15y)^2

b solve

(6x+9y)^2 + (8x+12y)^2 = (10x + 15y)^2

(6x+9y)(6x+9y) + (8x+12y)(8x+12y) = (10x + 15y)(10x+15y)

Factor out the common factors

3(2x+3y)3(2x+3y) + 4(2x+3y)4(2x+3y) = 5(2x+3y)5(2x+3y)

Rearrange

9 (2x+3y)^2 +16 (2x+3y)^2 = 25(2x+3y)^2

Divide each side by(2x+3y)^2

9 (2x+3y)^2/ (2x+3y)^2 +16 (2x+3y)^2/(2x+3y)^2 = 25(2x+3y)^2/(2x+3y)^2

9 + 16 = 25

25=25

This is true, so it is an identity

Answer:

The number is 15.

Step-by-step explanation:

If you look closely, the sum of any two adjacent boxes in the bottom row gives the number in the top row. For example, the sum of the first two boxes 27 and 18 gives the number 45.

27+18 = 45

Similarly,

21+x = 36 (Third and fourth boxes in bottom row)

Solving, we get x=15.

We can confirm this by checking with the last two boxes.

x+13 = 28

x=15

So, the answer is 15.

Please mark Brainliest if this helps!

Step-by-step explanation:

[tex] { \sin(x) }^{4} { \tan(x) }^{2} [/tex]

[tex] { \sin(x) }^{4} \frac{ { \sin(x) }^{2} }{ { \cos(x) }^{2} } [/tex]

[tex] \frac{ ({ {1 - \cos(x) }^{2} })^{3} }{ { \cos(x) }^{2} } [/tex]

hopefully this helps, I'm rusty with my trig identities

Answer:

  sin⁴(x)tan²(x) = (10 -15cos(2x) +6cos(4x) -cos(6x))/(16(1 +cos(2x))

Step-by-step explanation:

The relevant identities are ...

[tex]\sin^4{x}=\dfrac{3-4\cos{(2x)}+\cos{(4x)}}{8}\\\\\tan^2{x}=\dfrac{1-\cos{(2x)}}{1+\cos{(2x)}}\\\\\cos{(a)}\cos{(b)}=\dfrac{\cos{(a+b)}+\cos{(a-b)}}{2}[/tex]

Then your product is ...

[tex]\sin^4{(x)}\tan^2{(x)}=\dfrac{3-4\cos{(2x)}+\cos{(4x)}}{8}\cdot\dfrac{1-\cos{(2x)}}{1+\cos{(2x)}}\\\\=\dfrac{3-4\cos{(2x)}+\cos{(4x)}-3\cos{(2x)}+4\cos^2{(2x)}-\cos{(4x)}\cos{(2x)}}{8(1+\cos{(2x)})}[/tex]

Collecting terms and using the identity for the product of cosines, we get ...

[tex]=\dfrac{3-7\cos{(2x)}+\cos{(4x)}+4\dfrac{1+\cos{(4x)}}{2}-\dfrac{\cos{(6x)}+\cos{(2x)}}{2}}{8(1+\cos{(2x)})}\\\\=\dfrac{10-15\cos{(2x)}+6\cos{(4x)}-\cos{(6x)}}{16(1+\cos{(2x)})}[/tex]

Answer: Required probability is,

[tex]\frac{36}{231}[/tex]

Step-by-step explanation:

Given,

White socks = 10,

Black socks = 6,

Brown socks = 4,

Blue socks = 2,

Total socks = 10 + 6 + 4 + 2 = 22,

Thus, the total ways of choosing any 2 socks = [tex]^22C_2[/tex],

Now, the ways of choosing a black socks = [tex]^6C_1[/tex]

Thus, ways of choosing a pair of black socks = [tex]^6C_1\times ^6C_1[/tex]

Hence, the probability of pulling out a matching pair of black socks

= [tex]\frac{^6C_1\times ^6C_1}{^{22}c_2}[/tex]

= [tex]\frac{36}{231}[/tex]

It takes 24 hours for the number of bacteria to increase to 300.

We have given that,

A scientist running an experiment starts with 100 bacteria cells.

These bacteria double their population every 15 hours.

Find how long it takes for the bacteria cells to increase to 300.

Use the formula, where is the original number of bacteria cells, is the number after t hours, and d is the time taken to double the number.

[tex]P_0=100[/tex]

[tex]d=15[/tex]

[tex]P_t=P_02^{\frac{t}{d} }[/tex]

[tex]Pt=300=100\times2^{\frac{t}{15} }[/tex]

[tex]3=2^{\frac{t}{15}}[/tex]

[tex]\frac{t}{15} =1.6[/tex]

t=24

It takes 24 hours for the number of bacteria to increase to 300.

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Answer:

c. no solution

Step-by-step explanation:

6d + 3f = 12

2d = 8 ­- f

Multiply the second equation by 3

3*2d = 3(8-f)

6d = 24-3f

Substitute into the first equation for 6d

(24-3f) +3f = 12

Combine like terms

24 =12

This is never true, so there are no solutions

Answer:

c. No Solution.

Step-by-step explanation:

6d + 3f = 12

2d = 8 ­- f

Rearranging the second equation:

2d + f = 8  Multiply this equation by 3:

6d + 3f = 24

Note that the left side of this equation = the left side of the first equation but the right sides are different. So this system does not make sense and there are No Solutions.

Answer:

x = 12.63        or         x= -0.63

Step-by-step explanation:

From my understanding the question is x² - 12x = 8

This will be solved through a quadratic equation formula.

Step 1: Form a quadratic equation

x² - 12x = 8

x² - 12x - 8 = 0

Step 2: Apply the quadratic formula

a = 1, b = -12, c = -8

x = -b±√b²-4ac

          2a

x = -(-12)±√(-12)²-4(1)(-8)

                 2(1)

Step 3: Find the value of x

x = 12±4√(11

           2

x = 12+4√(11)                  or            x =  12-4√(11)

            2                                                  2

x = 12.63                         or            x= -0.63

!!

Answer:

C. 3(2x2 – 4x + 3)

Step-by-step explanation:

6x^2 – 12x + 9

We can factor out a 3

3(2x^2 -4x+3)

Answer:

c. 3(2x^2-4x+3)

Step-by-step explanation:

The numbers 6, 12, and 9 are all multiples of 3. Divide everything by three, move it to the outside. There are no more common factors between all 3 terms so the trinomial is completely factored. Hope this helped, if not then I apologize.

Answer: Option A

[tex]\theta=tan^{-1}(\frac{8}{6})[/tex]

Step-by-step explanation:

We can model the situation by means of a right triangle.

Where the  angle [tex]\theta[/tex] is the angle that you make with the top of the TV.

Then the horizontal distance of 6 feet is the adjacent side and the vertical distance of 8 feet is the opposite side to the angle the.

By definition of the [tex]tan(\theta)[/tex] function we know that:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Therefore:

[tex]tan^{-1}(\frac{8}{6})=\theta[/tex]

[tex]\theta=tan^{-1}(\frac{8}{6})[/tex]

Answer:

CORRECT

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

If two spheres have the same center but different radii, they are NOT called concentric spheres. They would be called congruent circles if they have the same center but different radii.

Answer:

false

Step-by-step explanation:

Answer:

Rx-axis (P) is (-4 , 1)

Step-by-step explanation:

* Lets revise the reflection

- If point (x , y) reflected across the x-axis

 ∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

 ∴ Its image is (-x , y)

- If point (x , y) reflected across the line y = x

 ∴ Its image is (y , x)

- If point (x , y) reflected across the line y = -x

 ∴ Its image is (-y , -x)

* Lets solve the problem

∵ The point P is (-4 , -1)

∵ Rx-axis (P) means reflect point P across the x-axis

∵ The reflection of a point (x , y) across the x-axis is (x , -y)

- That means we will change the sign of the y-coordinate of point P

∵ P = (-4 , -1)

∴ The y-coordinate of point P is -1 will change to 1

∴ The image of point P after reflection is (-4 , 1)

* Rx-axis (P) is (-4 , 1)

Answer:

P is -4 , 1

Step-by-step explanation:

Answer:

The zeros of our function f is at x=-1.

The discontinuity is at x=-4.

These are correct if the function is [tex]f(x)=\frac{x^2+5x+4}{x+4}[/tex] .

Please let know if I did not interpret your function correctly.

Step-by-step explanation:

I imagine you mean [tex]f(x)=\frac{x^2+5x+4}{x+4}[/tex] but please correct me if I'm wrong.

The zero's of a rational expression occur from it's numerator.

That is, in a fraction, the only thing that makes that fraction 0 is it's numerator.

So we need to solve [tex]x^2+5x+4=0[/tex] for x.

The cool thing is this one is not bad to factor since the coefficient of x^2 is 1.  When the coefficient of x^2 is 1 and you have a quadratic, all you have to do is ask yourself what multiplies to be c and adds to be b.

[tex]x^2+5x+4[/tex] comparing to [tex]ax^2+bx+c[/tex] gives you [tex]a=1,b=5,c=4[/tex].

So we are looking for two numbers that multiply to be c and add to be b.

We are looking for two numbers that multiply to be 4 and add to be 5.

Those numbers are 1 and 4 since 1(4)=4 and 1+4=5.

The factored form of [tex]x^2+5x+4[/tex] is [tex](x+1)(x+4)[/tex].

So [tex]x^2+5x+4=0[/tex] becomes  [tex](x+1)(x+4)=0[/tex].

If you have a product equals 0 then at least one of the factors is 0.

So we need to solve x+1=0  and x+4=0.

x+1=0 when x=-1 (subtracted 1 on both sides to get this).

x+4=0 when x=-4 (subtracted 4 on both sides to get this).

The zeros of our function f is at x=-1 and x=-4.

Now to find where it is discontinuous.  We have to think 'oh this is a fraction and I can't divide by 0 but when is my denominator 0'.  If the value for the variable is not obvious to you when the denominator is 0, just solve x+4=0.

x+4=0 when x=-4 (subtracted 4 on both sides).

So we have a contradiction at one of the zeros so x=-4 can't be a zero.  

The discontinuity is at x=-4.

Answer:

This function is discontinuous at x = 4, and has a zero at x = -1.

Step-by-step explanation:

If x = -4, the denominator will be zero and thus the function will be undefined.  Thus, the discontinuity is at x = -4.

To find the zero(s):  Set the numerator = to 0, obtaining

x^2+5x+4 = 0.  Factoring this, we get (x + 4)(x + 1) = 0.  Thus, we have a zero at x = -1.  

Notice that f(x) can be rewritten as

         x^2 + 5x + 4       (x+4)(x+1)

f(x) = -------------------- = ---------------- = x + 1 for all x other than x = -4.

               x + 4                 (x+4)

This function is discontinuous at x = 4, and has a zero at x = -1.

Answer:

[tex]\$105.47[/tex]  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

[tex]V=P(1-r)^{x}[/tex]  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

[tex]P=\$250\\r=25\%=25/100=0.25\\x=3\ years[/tex]

substitute

[tex]V=250(1-0.25)^{3}[/tex]  

[tex]V=250(0.75)^{3}[/tex]  

[tex]V=\$105.47[/tex]  

Answer and Step-by-step explanation:

After three years the worth of it will be [tex]$105.47[/tex]

We know that each year, it's worth 75% of what it was, giving us :

[tex]=0.75*W[/tex] (Note that "W" means "Worth")

Now we calculate it in three years time so,

The first year is :[tex]250*0.75 = $187.50[/tex]

The second year is :[tex]187.5*0.75 = $140.625[/tex]

The third year is :[tex]140.625*0.75 = $105.47[/tex]

Now, we have our answer :

After three years time the worth of it is [tex]$105.47[/tex]

Answer:

The probability that you will choose a consonant and then a vowel is 0.21....

Step-by-step explanation:

Total no of tiles = 28 + 12 = 40

First you should choose a consonant = 12/40

Second you should choose a vowel = 28/40

So the probability you choose a consonant and then a vowel:

= 12/40 * 28/40

=336/1600

=0.21

So the probability that you will choose a consonant and then a vowel is 0.21....

Answer:

g(x) = -5x

Step-by-step explanation:

If the point from f(x) is plotted using the slope, the coordinate would be located at (1, 5) since the slope of 5x tells us we go up 5 units from the origin and over 1 unit to the right.  That point will be reflected through the x-axis to land at (1, -5).  That means that the equation of the new line would be

g(x) = -5x

A reflection across the x -axis would have the opposite value of the output.

If the value is a positive value, the mirrored value would be a negative value.

The function of g(x) would be g(x) = -5x

Answer:

  110

Step-by-step explanation:

z is apparently 10 times x.

10 times 11 is 110.

Answer:

(7.5-2.1) /2

If the shortest side measures 2.1 m.

7.5-2.1 =5.4. Then divide by 2 each side is 2.7m

Answer:

The equation for finding the value of x is 2x + 2.1 = 7.5 and the value of x is 2.7 m.

Step-by-step explanation:

Perimeter of the isosceles triangle = 7.5 m

Length of the shortest side = 2.1 m

Let the length of each of the other sides of the triangle = x meter

Then the equation for the perimeter of the triangle becomes:

Sum of 3 sides f the triangle = 7.5 m

=> 2*x + 2.1 = 7.5

=> 2*x = 7.5 - 2.1 = 5.4

=> x = 5.4/2 = 2.7 m

So the relevant equation for finding the value of x is 2x + 2.1 = 7.5 and the value of x is 2.7 m.

Step-by-step explanation:

An inscribed angle is half the arc angle.

m∠MNQ = 80°/2

m∠MNQ = 40°

The angle between two chords is the average of the arc angles.

m∠AMB = (80° + 85°) / 2

m∠AMB = 82.5°

Answer:

integer  3 represents elevator final position with respect to the main floor.

Step-by-step explanation:

Given  : An elevator starts at the main floor and goes up 8 floors. It then goes back down 5 floors.

To find : What integer represents elevator final position with respect to the main floor.

Solution : We have given

Elevator starts at the main floor and goes up floors = + 8 ( for up).

Then goes back down floor  =  - 5  ( - sign for down).

Final position  :  8 - 5 = 3 .

It will reach at 3 floor from the main floor .

Therefore, integer  3 represents elevator final position with respect to the main floor.

Answer:

  FALSE

Step-by-step explanation:

Assuming ZY is a tangent, the measure of the arc will be twice the measure of the angle. If the angle ZYX is 23°, the measure of arc YX will be 46°.