Could someone help me ASAP !!

Could Someone Help Me ASAP !!

Answers

Answer 1

Answer:

LSA = 592cm^2.

Step-by-step explanation:

Well LSA is the SA but without the base so the blue square does not count.

So we have to find the area of the triangle which is b*h/2.

So 18.5*16 / 2 is 148.

And since there is 4 triangles with the same dimensions we do 148*4, 592cm^2.


Related Questions

the value of x is: 52 degrees. 128 degrees. 48 degrees. None of the choices are correct.

Answers

Answer:

52°

Step-by-step explanation:

Since the side 52° is 10 and is congruent to the other side x° (also has 10), we know that the triangle is isosceles and that the 2 angles are congruent (by definition of an isosceles triangle). We could also use Law of Sines and Law of Cosines to prove this.

Answer:

A. 52 degrees

Step-by-step explanation:

Two sides are equal, so the triangle is an isosceles triangle.

Both base angles are equal.

x = 52

solution to the inequality -13x>-39

Answers

Answer:

x<3

Step-by-step explanation:

-13x>-39

x<3

al triplicar la temperatura registrada en un dia caluroso se obtiene 69.C cual era la temperatura inicial

Answers

Answer:

8.30662386292= mas o menos 8

Step-by-step explanation:

Para este pregunta, se necesita encontrar el raiz cuadrada de 69, porque 69 esta triplicada, entonces la temperatura inicial era  mas o menos 8

Peggy has twice as many apples as kiwis, and three times as many pears as apples. How many pears does she have, if she has 72 apples, kiwis and pears all together?

Answers

Answer:

Let's do this step by step

Since there are 72 apples, the pears are 3 times as much. So multiply by 3

[tex]72 * 3=216[/tex]

So there would be 216 pears.

Now for Kiwis

They are 2 times as much, Multiply by 2

[tex]72 *2=144[/tex]

All together with the kiwi and the pears are

[tex]216+144=360[/tex]

And all the fruits together it would be

432

Hope this helps

Answer by

Fishylikeswater

The number of pears, apples and kiwis Peggy has is 216, 72 and 144 respectively.

How many pears does she have?

Number of apples = 72 apples

Number of kiwis = 2 × 72

= 144 kiwis

Number of pears = 72 × 3

= 216 pears

Therefore, Peggy has 144 kiwis

Read more on Algebra:

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Test for the commutative property of union and intersection of the sets P = { x : x is all real numbers between 2 and 7} and Q = { x : x is all rational numbers between 2 and 7}

Answers

Answer:

Step-by-step explanation:

P = {x : x is a real number between 2 and 7}

{x: 3,4,5,6}

Q = {x : x is all rational number between 2 and 7}

{4 }

We know that P contains all the rational numbers between 2 and 7.

And P ∪ Q and Q ∪ P each of them contain all the real numbers which are between 2 and 7.

{3,4,5,6}

Here Q is the proper subset of P

P ∩ Q = Q ∩ P = Q= {4}

i am bad in fraction math. can you please help me. with proper explanation. Thank you! ​

Answers

Answer:

1 - 8/9 + 4/9 = 9/9 -8/9 +4/9 = (9-8+4)/9 = 5/9

Step-by-step explanation:

Answer:

The answer is 5/9.

Step-by-step explanation:

First, you have to make all the denorminator of the fractions the same by multultiplying :

[tex]1 - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{1}{ 1} - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{1 \times 9}{1 \times 9} - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]

Next, you have to make it into 1 fraction and simplify :

[tex] \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{9 - 8 + 4}{9} [/tex]

[tex] = \frac{5}{9} [/tex]

Mia got 24 out of 30 problems
correct. What percent is this?

Answers

Answer:

80% (see below)

Step-by-step explanation:

24:30

24 ÷ 30 = 0.8

0.8 = 80%

Hope this helped! :)

Answer:

80%

Step-by-step explanation:

Step 1: Find the fraction she got correct

24/30 = 4/5

Step 2: Find the decimal

4/5 = 0.8

Step 3: Convert to percentage by multiplying by 100

0.8(100) = 80%

What is the domain and range ?

Answers

Answer:

Domain is [-4, 4]

Range is [0, 4]

Step-by-step explanation:

Domain is the fancy name for the values of x that works for the graph (input), in this case, from -4 to 4, inclusive.

Range is the fancy name for the values of y that works for the graph (output), in this case, from 0 to 4, inclusive.

Dominic's three daughters want to take gymnastics this year. It costs $90 per month per child. How much does Dominic need to budget for a year (12 months)
of gymnastics for his daughters?

Answers

Answer:

$3,240

Step-by-step explanation:

To find the amount of money that Dominic will need to pay for gymnastics for his three daughters, first you have to multiply the cost per month per child for 12 months to know the cost per year per child:

$90*12=$1,080

Then, you has to multiply the cost per year per child for 3 that is the number of daughters:

$1,080*3=$3,240

According to this, Dominic need to budget $3,240 for a year (12 months)

of gymnastics for his daughters.

Melissa sold 18 raffle tickets for the
school fundraiser. Jonah sold half as
many tickets as Melissa. Shona sold 1
Ź times as many tickets as Melissa. If
each ticket cost $6, how much total
money did the students raise?

Answers

Answer:

$324

Step-by-step explanation:

Melissa sold 18 tickets.

Jona sold 1/2 * 18 = 9 tickets

Shona sold 1 1/2 * 18 = 1.5 * 18 = 27 tickets

Total number of tickets sold:

18 + 9 + 27 = 54

Total money from sales: 54 * $6 = $324

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the pairs of polynomials to their products.

Answers

Answer:

(2xy +x+y)(3xy² -y)

= 6x²y³ -2xy²+ 3x²y² -xy +3xy³ -y²

(xy+3x+2)(xy-9)

= X²y² -7xy+3x²y -27x-18

(x²+3xy-2)(xy+3)

= X³y + 3x² + 3x²y² +7xy -6

Step-by-step explanation:

For (xy+9y+2) and (xy-3)

(xy+9y+2) (xy-3)

= x²y² -3xy +9xy² -27y + 2xy -6

= x²y² -xy +9xy² -27y -6

For (2xy +x+y)(3xy² -y)

= 6x²y³ -2xy²+ 3x²y² -xy +3xy³ -y²

For (x-y)(x+3y)

= X² + 3xy -xy -3y²

= X² +2xy -3y²

For (xy+3x+2)(xy-9)

= X²y² -9xy +3x²y -27x+2xy -18

= X²y² -7xy+3x²y -27x-18

For (x²+3xy-2)(xy+3)

= X³y + 3x² + 3x²y² +9xy -2xy -6

= X³y + 3x² + 3x²y² +7xy -6

PLS HELP 44 pts! Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool: (image attached below)
Line of best fit:_________________________________________________
approximate Slope: ______________________________________
Y intercept of the line of best fit.:________________________
Steps taken to solve or find the slope and intercept: ________________

Answers

Answer:

Okay so I am not positive but I will try to help you out. Okay so the line of best fit would positive. Because it is all going up. The approximate slope is 3/4 Because slope is change in y over change in x. The y intercept of the line of best fit would be (0,0). This is because when drawing the line you can see that it would intercept the y-axis at zero. My steps taken were basically just looking at it and peicing everything together. If you want to get more involved with slope you could pick to coordinates which I will include and do change in y over change in x.

My points I will pick are (1,1) and (5,2)

2-1/5-1=3/4

therefore approximate slope is 3/4

Like I said I am not positive but I am just trying to help out in some way.

If something is incorrect please inform me. If this helps also please inform me.

What is the surface area of the right cone below?

Answers

Answer:  D) 339 sq. units

Step-by-step explanation:

see attachment

the answer is d 339 sq.units

solve for x. Write both solutions, separated by a comma. 9x^2-6x-8=0 please help me

Answers

Answer:

(-0.667,0), & (1.333,0)

Step-by-step explanation:

The equation creates two parallel lines on a graph that both have x-intercepts of (-0.667,0) & (1.333,0). So x = (-0.667,0), (1.333,0).

Hopefully this helps & gets brainliest.

HELP ME WITH THIS IMPROPER FRACTION QUESTION pls

Answers

Answer:

(a) [tex]4\frac{1}{5}[/tex]

(b)  [tex]7\frac{7}{24}[/tex]

Step-by-step explanation:

One way of operating with mixed numbers is to first convert them into improper fractions, and operate with them following the simple rules of fraction multiplication, and at the end convert the answer into mixed number.

(a) For this operation let's first convert [tex]5\,\frac{2}{5}[/tex] into an improper fraction:

[tex]5\frac{2}{5} =5+\frac{2}{5} =\frac{25}{5} +\frac{2}{5} =\frac{27}{5}[/tex]

Now perform the requested operation:

[tex]\frac{7}{9} \,*\,\frac{27}{5} =\frac{189}{45} =\frac{21}{5} =4\frac{1}{5}[/tex]

(b) Start by converting both mixed numbers into improper fractions and then operate as indicated:

[tex]1\frac{3}{4} =\frac{4+3}{4} =\frac{7}{4} \\4\frac{1}{6} =\frac{24+1}{6} =\frac{25}{6}[/tex]

[tex]\frac{7}{4} *\frac{25}{6} =\frac{175}{24} =7\frac{7}{24}[/tex]

I need help choosing which two equations tool el to find the individual massses of A and B

Answers

Answer:

Step-by-step explanation:

The third one :

a is twice the mass of b so a=2b b and 2a combined equal 45

Which graph represents the solution set of the system of inequalities?
y < 2/3x
Y>-x+2

Answers

Answer:

I attached it.

Step-by-step explanation:

This is the graph.

The graph of the equation y=-2 is a line Explain your answer 1) parallel to the x-axis 2)parallel to the y-axis 3)passing through the origin 4) passing through the point (-2,0)

Answers

Answer:

Parallel to the x-axis

Step-by-step explanation:

Given the graph of the equation y = -2. To determine how the line will look like on Cartesian plane, first we must understand the following;

The standard form of equation of a line is y = mx+c where m is the slope and c is the intercept. Comparing this standard form to the given equation shows that the equation is in slope-intercept form.

It can also written as y = 0x-2. This shows that slope  m = 0 and the y-intercept c = -2. The graph can be graphed as y = 0x-2

The line will be an horizontal line drawn on the negative y-axis at the coordinate x = 0 and y = -2. The line will therefore be parallel to the x axis

Check the attachment for the graph.

The graph of the equation [tex]\boldsymbol{y=-2}[/tex] is a line parallel to the [tex]\boldsymbol{x-}[/tex]axis

A graph is a pictorial representation of data or values in a well - organized manner.

The graph of the equation passes through a point [tex]\boldsymbol{(a,b)}[/tex] if it satisfies it.

The graph of the equation of the form [tex]\boldsymbol{x=a}[/tex] is parallel to the [tex]\boldsymbol{y-}[/tex]axis.

The graph of the equation of the form [tex]\boldsymbol{y=a}[/tex] is parallel to the [tex]\boldsymbol{x-}[/tex]axis.

So, the graph of the equation [tex]\boldsymbol{y=-2}[/tex] is a line parallel to the [tex]\boldsymbol{x-}[/tex]axis

Option 1) is correct.

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given that CFE = CFA, CFB = 68, and EFD = 62, find the measure of AFD HURRY PLEASE, IM TIMED!!!

Answers

Answer:

D

Step-by-step explanation:

Answer:

C

Please give brainliest, I explained in the comments

Step-by-step explanation:

15. Find the lengths of major and minor arcs AB correct to the tenth of a cm. The minor
arc AB has a central angle which measure 85°.
(3marks)
859​

Answers

Las funciones trigonométricas se utilizan fundamentalmente en la solución de triángulos

rectángulos, recordando que todo triángulo rectángulo tiene un ángulo de 90° y sus ángulos

interiores suman 180°. La notación que se acostumbra es la siguiente.

Find x.
Do not round your answer.

Answers

Answer:

x=12cm

Step-by-step explanation:

PA ×PB=PT^2

4×(4+x)=(8)^2

16+4x=64

4x=64-16

4x=48

x=12cm

Answer:

x =12

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(4+x) * 4 = 8^2

Distribute

16+4x = 64

Subtract 16 from each side

4x = 48

Divide each side by 4

4x/4 = 48/4

x = 12

A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).

Answers

Answer:

Step-by-step explanation:

A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option.

Answer: For the first option which is leasing, it is described by the equation:

250x - y + 4000 = 0

The general equation of a line is y = mx + c, where m is the slope of the line and c is the intercept on the y axis.

Since 250x - y + 4000 = 0, we need to make it in the form of the general equation by making y the subject of the formula.

Therefore:

y = 250x + 4000

This means that the slope is 250 and the y intercept is 4000. That is at 0 months, the amount paid for the car is $4000 for the first option. As the value of the months increase by 1, the amount paid for the car increase by 250

The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). To get the equation of the line, we use the formula:

[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\ Substituting:\\\frac{y-400}{x-0}=\frac{4400-400}{10-0}\\\frac{y-400}{x} = 400\\y=400x+400[/tex]

The second option has a slope of 400 and an intercept of 400. At 0 months, $400 is paid for ownership. As the value of the months increase by 1, the amount paid for the car increase by 400

What is the area of the trapezoid?
30 square units
60 square units
90 square units
120 square units

Answers

Answer:

  60 square units

Step-by-step explanation:

We can bound the trapezoid with a rectangle having opposite corners at (4, 6) and (16, 16). This rectangle will have an area of (16 -4)(16 -6) = 120 square units.

From this bounding rectangle we can subtract the areas of the corner triangles. Their x-y extents (CW from upper left) are ...

  (10×6), (2×6), (6×4), (6×4)

Their areas are half the product of these base×height dimensions, so the triangles have a total area of ...

  (1/2)(60 +12 +24 +24) = 60

Then the area of the trapezoid is the difference of the area of the bounding rectangle and the area of the corner triangles:

  trapezoid area = 120 -60 = 60 . . . . square units

PLZZZZZ HLPPPPP MEEEEEEEEEE NOW <3

Answers

Answer:

[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]

Step-by-step explanation:

The blue parabola is only a translated version of the red parabola. The standard form of a vertical parabola centered at (h,k), that is, a parabola whose axis of symmetry is parallel to y-axis, is of the form:

[tex]y - k = C\cdot (x-h)^{2}[/tex]

Where:

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex with respect to origin, dimensionless.

[tex]C[/tex] - Vertex constant, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, then vertex is an absolute maximum).

Since both parabolas have absolute minima and it is told that have the same shape, the vertex constant of the blue parabola is:

[tex]C = 1[/tex]

After a quick glance, the location of the vertex of the blue parabola with respect to the origin is:

[tex]V(x,y) = (-3,-2)[/tex]

The standard form of the blue parabola is [tex]y+2 = (x+3)^{2}[/tex]. Its expanded form is obtained after expanding the algebraic expression and clearing the independent variable (y):

[tex]y + 2 = x^{2} +6\cdot x + 9[/tex]

[tex]y = x^{2} + 6\cdot x + 7[/tex]

Then, the blue parabola is represented by the following equations:

[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]

Please help, doing age word problems. Tysm if you do, really appreciated :D

Answers

Answer:

D (12, 21); B (11, 17); C (18,28); D (42); C (8).

Step-by-step explanation:

First:

Let I represent Isabel and M represent Marie.

We know that currently, Isabel is 9 years older than Marie, or:

I=9+M.

In three years, Isabel will be six years less than twice of Marie's age. In other words:

(I+3)= 2(M+3)-6

Now solve. Substitute I.

(9+M+3)=2M+6-6

12+M=2M

M=12; I=21. Marie is 12 while Isabel is 21.

Second:

Let I represent Isabel and M represent Marie.

Isabel is 6 years older than Marie; in other words: I=6+M

In 4 years, Isabel will be 9 years less than twice Marie's age. Or:

(I+4)=2(M+4)-9

Solve. Substitute I.

(6+M+4)=2(M+4)-9

10+M=2M+8-9

10+M=2M-1

11=M; I=17; Marie is 11 while Isabel is 17.

Third:

Let I represent Isabel and M represent Marie.

Isabel is 10 years older than Marie, or: I=10+M

In 2 years, twice Isabel's age is three times Marie's age. Or:

2(I+2)=3(M+2)

Solve. Substitute for I.

2(10+M+2)=3(M+2)

24+2M=3M+6

18=M; I=28. Marie is 18 while Isabel is 28.

Fourth:

Let M represent Mary and A represent Ann.

Mary is 3 time as old as Ann. Or: M=3A

7 years ago Mary was 5 times as old as Ann. In other words:

(M-7)=5(A-7)

Solve for this system. Substitute M.

(3A-7)=5A-35

-2A=-28

A=14; M=42; Mary is 42.

Fifth:

Let T represent Tammy and L represent Laurel.

We know that Tammy is 42 while Laurel is 9. In other words:

T=42 and L=9.

We need to find in how many years will 3 times Laurel's age be 1 more than Tammy's age. In other words, let's let y represent the amount of years. Thus:

3(L+y)=(T+y)+1

We already know L and T:

3(9+y)=(42+y)+1

27+3y=43+y

2y=16

y=8

In 8 years, when Laurel is 17 and Tammy is 50. (3 times 17 is 51, one more than 50).

Step-by-step explanation:

Problem 1 :

Since we have the answers no need to write an equation and solve it

4 and 13 : substract 3 from each : 1 , 10 so Isabel is really 9 years older than Marie add 3 : 7 and 16 16+6 = 21 = 7*3 so that's right

the answer is A

Problem 2 : 11 and 17 17 -11 = 6 so that's right add 4 to each : 17+4 = 21   11+4= 15 21+9 = 30= 15*2 so that's right

b is the answer

Problem 3 : 18 and 28 28-18= 10 so it's a good choice add 2 :  30 and 20 30*2= 60 and 20*3 = 60so that's true !

C is the answer

Problem 4 : here i have a method let x be the age of Marie and y the age of Ann Mary is 3 times as old as Ann so : x = 3y 7 years ago Mary was 5 times as old as An so x-7 = 5(y-7) solve the equations and you'll get y= 14 so x = 3*y = 3*14= 42

So the answer is D

Problem 5 : 42 + 8 = 50 and 8+9= 17 17*3 = 51 51-50 = 1 so the answer is 8 years

The answer is c

For the following exercises, use this scenario: A biologist recorded a count of 360 bacteria present in a culture after 5 minutes and 1000 bacteria present after 20 minutes. Rounding to six significant digits, write an exponential equation representing this situation. To the nearest minute, how long did it take the population to double

Answers

Answer:

[tex]P(t)=256*e^{0.068185t}[/tex]

10 minutes for the population to double.

Step-by-step explanation:

The general formula for the population equation, P(t), is:

[tex]P(t)=A*e^{nt}[/tex]

We are given that for t =5 minutes and t = 2 minutes:

[tex]P(5)=360=A*e^{5n}\\P(20)=1,000=A*e^{20n}\\\\[/tex]

Solving for A and n:

[tex]ln(360)=ln(A)+5n\\ln(1,000)=ln(A)+20n\\ln(1,000)-4ln(360)=ln(A)-4ln(A)+20n-20n\\ln(A)=5.5455536\\A=256\\n=\frac{ln(360)-ln(256)}{5}\\n=0.068185[/tex]

The exponential equation that represents this situation is:

[tex]P(t)=256*e^{0.068185t}[/tex]

The population will double when P(t) = 512 bacteria:

[tex]512=256*e^{0.068185t}\\ln(2)=0.068185t\\t=10.17\ minutes[/tex]

To the nearest minute, it takes roughly 10 minutes for the population to double.

Plz work this out ASAP plz

Answers

Answer:

0.143059

Step-by-step explanation:

[tex]\dfrac{\sqrt{19 + 6^2}}{7.2^2} =[/tex]

[tex]= \dfrac{\sqrt{55}}{51.84}[/tex]

[tex] = 0.143059 [/tex]

Geometry A Credit 3 learning events packet I REWALLLALEJSNE NEED HELP PLEASE

Answers

Answer:

Dang that’s Hard

Step-by-step explanation:

I need help for this question I’m stuck

Answers

Answer:

g=6

Step-by-step explanation:

We can start by multiplying both sides by 2

5(3g+2)=100

Now we can distribute the 5 by using the distributive property

15g+10=100

Then we subtract 10 from both sides

15g=90

Divide both sides by 15

g=6

Answer:

6

Step-by-step explanation:

5(3g + 2)/2 = 50              Multiply both sides by 2

5(3g + 2)  = 50*2 = 100   Remove the brackets

15g + 10 = 100                  Subtract 10     ***

15g+10-10 = 100 - 10         Collect like terms.

15g = 90                            Divide by 15   ***

15g/15 = 90/15

g = 6

I don't know how to cut this down so that it requires only 2 steps.  I guess that the two steps marked with *** are the 2 I would choose.

Can someone help me ASAP please?

Answers

Answer:

67.4°

Step-by-step explanation:

sin x=12/13

x=sin-1(12/13)

x=67.38

give answer correct to 1 decimal places

67.38=67.4°

Answer:

[tex]\boxed{Q = 67.4 degrees}[/tex]

Step-by-step explanation:

Sin Q = [tex]\frac{opposite}{hypotenuse}[/tex]

Where opposite = 12, hypotenuse = 13

Sin Q = 12/13

Q = [tex]Sin^{-1}0.923[/tex]

Q = 67.4 degrees

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A house is being appraised using the sales comparison approach. The house has three bedrooms, two bathrooms, and a patio. The appraiser selects a comparable house that has three bedrooms, 3 bathrooms, and no patio. The comparable house just sold for $200,000. A bath is valued at $7,000, and a patio at $2,000. Assuming all else is equal, what is the adjusted value of the comparable A train accelerates at -1.5 m/s2 for 10 seconds. If the train had an initialspeed of 32 m/s, what is its new speed?A. 17 m/sB. 15 m/sC. 47 m/sD. 32 m/s You are alone and have identified an adult who is not responsive. You have called 911 and begun chest compressions. What is the next step in CPR?A. Go get helpB. Determine if an AED is available C. Cover the adult with a blanket D. Wait five minutes Two different families pay for entry into a water park. Family 1 has 2 adults and 3 children and costs a total of 20 to enter the park.Family 2 has 1 adult and 4 children and costs a total of 15 to enter the park. Work out the cost of the adult ticket, and the child ticket. A game at the fair involves ping-pong balls numbered 1 to 18. You can win a prize if you correctly choose the 5 numbers that are randomly drawn. What are your chances of winning? The answer is 0.014, but i don't know how to get there. Read this run-on sentence.Fernando went to the bookstore to get the final book in his favorite series he couldn't wait to get home and read it.Which of the following makes this sentence correct?A. Fernando went to the bookstore to get the final book in his favorite series, he couldn't wait to get home and read it.B. Fernando went to the bookstore to get the final book in his favorite series; he couldn't wait to get home and read it.C. Fernando went to the bookstore to get the final book in his favorite series: he couldn't wait to get home and read it.D. Fernando went to the bookstore to get the final book in his favorite series. He couldn't wait to get home and read it. When performing a gram stain, it is necessary to remove crystal violet stain from any gram negative bacteria on the slide. Microbiologists use a decolorizing solution to accomplish this. A common recipe is equal parts 95% ethanol and acetone. How many mL of water would you need to add if you have 99% ethanol and want to end up with 500 mL of decolorizer Which of the following scenarios would be optimal for obtaining a date from radioactive decay using these isotopes: 87Rb, 147Sm, 235U, 238U, 40K, or 14C? There may be more than one answer that is appropriate. Explain your reasoning for why the remaining scenario(s) would be inappropriate/impossible to use that particular isotope. Answers should include a discussion on usable ages for each system and whether the necessary isotopes would be found in the material to be dated. a. A meteorite that formed early in the formation of the solar system. b. A rock formed through a mountain building event around 420 million years ago. c. Volcanic ash from an eruption 60 million years ago. d. An earthquake scarp that formed along the San Andreas Fault 50 years ago. e. An Incan archaeological dig site in the highlands of Peru. f. A tree from a forest in England that is suspected to be the oldest in the British Isles. It is given that and are right angles, and . Since they contain right angles, ABR and ACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ABR is congruent to the hypotenuse and the leg of right ACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector. What is a Good Samaritan policy in relation to alcohol abuse This is for pre calculus, please help Toby cuts a pizza into 6 equal slices. He eats half a slice. What fraction of the pizza has he eaten? The common isotopes of carbon are 12C and 13C. The average mass of carbon is 12.01115 amu. What is the abundance of the 13C isotope? A. 1.115% B. 98.885% C. 0.480% D. 99.52% Provide an explanation if possible. Thanks so much! You are an ISP. For the Address Block 195.200.0.0/16 a. If you have 320 Customers that need 128 addresses/customer - will there be enough addresses to satisfy them? and explain why? b. Say the first block of 64 customers want 128 addresses/customer - what would the address space look like? Patton Company purchased $1,500,000 of 10% bonds of Scott Company on January 1, 2021, paying $1,410,375. The bonds mature January 1, 2031; interest is payable each July 1 and January 1. The discount of $89,625 provides an effective yield of 11%. Patton Company uses the effective-interest method and plans to hold these bonds to maturity.*USE T ACCOUNTSOn July 1, 2018, Patton Company should increase its Debt Investments account for the Scott Company bonds by?For the year ended December 31, 2018, Patton Company should report interest revenue from the Scott Company bonds of? 15 and 10, what was his total at the end?2. In a quiz, positive marks are given for correct answers and negative marks are givenfor incorrect answers. If Jack's scores in five successive rounds were 25,-5,-10 Question 1 (1 point)3. Each week Mohammad works 3 hours on Monday, 3 hours on Tuesday, 2 hours on21Wednesday, 2-hours on Thursday, and 4 hours on Friday. How many hours does he work per4week? (2 marks) Which statements are true regarding the diagram? Check all that apply.The side opposite the 60 angle has a length of The side opposite the 60 angle has a length of .sin(60) = sin(60) = The other acute angle of the triangle is 30. The Immigration Restriction League: Group of answer choices wanted to bar immigrants under the age of eighteen. wanted to bar immigrants who were illiterate. was founded by new immigrants. wanted to end all immigration. called for increased immigration from Asia. Pablo purchased adult and youth tickets for the football game. He bought x adult tickets for $74 each and y youth tickets for $35. Write an expression that can be used to show the total cost, C, of all tickets.