Farrah scored 42 points during a recent basketball game. She made only 2-point shots and 3-point shots. In total, Farrah made 19 shots.
Create two unique equations that model the number of 2-point shots, x, and the number of 3-point shots, y, that Farrah made in the game.

Answer:

8

Step-by-step explanation:

3(-2)^2+(-2)−2=8

The true solution x for the logarithmic equation which is shown below will be 75.

[tex]2 \ln e^{\ln 2x} - \ln e ^{\ln 10} = \ln 30[/tex]

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The logarithmic equation is given below.

[tex]2 \ln e^{\ln 2x} - \ln e ^{\ln 10} = \ln 30[/tex]

We know that the properties of the logarithm

[tex]e ^{\ln x} = x\\\\a \ln b = \ln b^a\\\\\ln a - \ln b = \ln (\dfrac{a}{b})[/tex]

Then we have

[tex]\begin{aligned} 2 \ln 2x - \ln 10x &= \ln 30\\\\\ln (2x)^2 - \ln 10x &= \ln 30\\\\\ln 4x^2 - \ln 10x &= \ln 30\\\\\ln \dfrac{4x^2 }{10x} &= \ln 30\\\\\ln \dfrac{2x}{5} &= \ln 30 \end{aligned}[/tex]

Taking anti-log, then we have

[tex]\rm \dfrac{2x}{5} = 30\\\\2x \ = 150\\\\x \ \ = 75[/tex]

More about the logarithm link is given below.

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Answer:

x = 75 or b

Step-by-step explanation:

Trust me

Answer:

Side Lengths of 4,6, & 7

Side Lengths of 8,9, &4

Step-by-step explanation:

Base on the given we first must know that in order to create a triangle the following must be apply:

[1] All 3 vector have different direction

[2] sum of sizes of 2 vector must be greater than 3rd one.

Thus,

Side Lengths of 4,6, & 7

4 + 7 > 7

10 > 7

Side Lengths of 2,10,&3

2 + 3 > 10

5 <10

Side Lengths of 15, 7 , &8

7+8=15

15 = 15

Side Lengths of 1,4,&3

1+3>4

4=4

Side Lengths of 8,9,&4

8+4>9

12>9

Side Lengths of 6,7,&1

1+6=7

7=7

Hence, we can see that the only ones that are

[1] All 3 vector have different direction

[2] sum of sizes of 2 vector must be greater than 3rd one.

is

Side Lengths of 4,6, & 7

Side Lengths of 8,9, &4

[RevyBreeze]

Answer:

c) 32°

Step-by-step explanation:

The bisector of an angle is the line or line segment that divides the angle into two equal parts.  So Ray HJ divides ∠GHI into 2 equal parts.

Therefore, ∠GHJ = ∠IHJ

As we are told that ∠IHJ = 32° then ∠GHJ = 32°

Using proportions, it is found that you would expect to get a sum of 3 22 times.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

When two dice are rolled, there are 36 total outcomes. 2 of them, (1,2) and (2,1), result in a sum of 3, hence the proportion is given by:

p = 2/36 = 1/18.

Out of 396 tosses, the expected value is given by:

E = 1/18 x 396 = 22.

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The area of the triangle is equal to 12 mm².

The area of a triangle is given by the formula:[tex]A=\frac{bh}{2}[/tex], where:

 b= length of the base;

  h=height

From the figure, it is possible to see that h= base of rectangle - 4 mm. Then, the height of the triangle(h)= 10-4=6 mm.

You can see that the sum of the base of the triangle with the height of the rectangle is equal to 12 mm. The figure also shows that the height of this rectangle is equal to 8 mm. Thus, the  base of the triangle(h)= 12-8=4 mm.

STEP 2 - Find the area of the triangle.

From step 1:

    b= length of the base= 4

    h=height=6

Therefore, the area of the triangle - [tex]A=\frac{bh}{2}=\frac{4 * 6}{2}=\frac{24}{2} =12 mm^2[/tex].

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Answer:

736x-89

Step-by-step explanation:

i think all you can do here is add the numbers that have an X in them so adding 689x+47x=736x and you leave the 89 so it becomes 736x-89

Answer:

736x-89

Step-by-step explanation:

first add the like terms (numbers with the same variables)

so now the equation is 736x-89

Answer:

B

Step-by-step explanation:

6-1+11 +8

5x+19

therefore the answer is 5x + 19

The expression which is equivalent to 5x - 19 is D) -3x + 4(2x - 6) + 5.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given an expression,

5x - 19

We have to find the equivalent expression.

Find the value of each expression in the options.

A) 7(4 - 2x) + 9 (x - 1) = 28 - 14x + 9x - 9 = -5x + 19

B) 6x - (x - 11) + 8

= 5x + 11 + 8 = 5x + 19

C) 10 - 3(x - 3) - 2x

10 - 3x + 9 - 2x = -5x + 19

D) -3x + 4(2x - 6) + 5

-3x + 8x - 24 + 5 = 5x - 19

Hence the correct option is D.

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Answer:

D.

Step-by-step explanation:

We know that to find unit price, we divide the unit in the numerator by the quantity in the denominator.

For the first option, we must put $1.49 as the numerator and 8 as the denominator. It will then look like this:

For our second option, we must put $2.29 as the numerator, and 12 as the denominator. It will look like this:

For our third option, we must put $2.75 as the numerator, and 15 as the denominator. It will look like this:

For our final option, we must put $3.89 as the numerator, and 20 as the denominator. It will look like this:

Therefore, the last option is the best buy because $0.18625 > $0.18333.

The probability that a blue marble was drawn followed by a yellow marble is; 0.45.

According to the task content;

On this note , the probability that a blue marble and yellow marble were drawn respectively is;

Read more on probability;

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Step-by-step explanation:

all coefficients are integers, the rational zeros theorem can be applied.

that means each rational solution ("root") x = p/q, written in most simplified terms so that p and q are relatively prime, can be found for the polynomial

an×x^n + an-1×x^(n-1) + ... + a1×x + a0

p is an ± integer factor of the constant term a0, and

q is an ± integer factor of the leading coefficient an.

in our case here

an = a4 = 1

a0 = 8

the only factor for 1 is ±1.

the factors for 8 are

±1, ±2, ±4, ±8

so, we get

1/1, 2/1, 4/1, 8/1, -1/1, -2/1, -4/1, -8/1, 1/-1, 2/-1, 4/-1, 8/-1, -1/-1, -2/-1, -4/-1, -8/-1

that leaves us with the different values of

1/1, 2/1, 4/1, 8/1, -1/1, -2/1, -4/1, -8/1

sorted from smallest to largest

-8/1, -4/1, -2/1, -1/1, 1/1, 2/1, 4/1, 8/1

or simply

-8, -4, -2, -1, 1, 2, 4, 8

Answer:
208

Step-by-step explanation:

the formula is:

2*(width*lenght+height*lenght+height*width)

2*(6*8+4*8+4*6)

208

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided a net of cuboid with ,

And we are asking to find the surface area of the figure ( cuboid ) . We know that ,

[tex] \quad\underline{ \boxed{\sf{Surface \: Area_{(Cuboid)} = 2 ( lw + wh + hl )}}}[/tex]

Where ,

Solution : -

[tex] \longmapsto \qquad \: 2((8 \times 6) + (6 \times 4) + (4 \times 8))[/tex]

[tex] \longmapsto \qquad \: 2(48 + 24 + 32)[/tex]

[tex] \longmapsto \qquad \: 2(48 + 56)[/tex]

[tex] \longmapsto \qquad \:2(104)[/tex]

[tex] \longmapsto \qquad \: \blue{\underline{\boxed{\frak{208 \: m {}^{2} }}}} \quad\bigstar[/tex]

Answer:

10.4476119402

Step-by-step explanation:

If you want a reasonable answer it would be 10.44 or 10.4!

Answer:

3x - 6 = 60

Step-by-step explanation:

[tex]\frac{3}{5} =\frac{12}{x-2}[/tex]
5*12 = 3*(x-2)
60 = 3x - 6

Answer:

angle one is 23.3

Step-by-step explanation:

yw

Answer:

138.82

Step-by-step explanation:

Line up the numbers on the right - do not line the decimal points.

Start on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.

then you add the products.

Answer:

138.82

Step-by-step explanation:

Multiply the numbers using the normal multiplication process. Now, count the number of digits after the decimal point in both the numbers. Add these 2 values & put the decimal point in the product by counting the digits from the left side of the place value. The answer is 138.82.

=》 Check the attachment for the steps.

_____________

Hope it helps ⚜

Answer:

mP = 35

Step-by-step explanation:

QR = 80

QS = 150

The measure of the angle formed by a secant and a tangent intersecting in the exterior of a circle is half the difference between the measures of the intercepted arcs.

This means that (150-80)/2 = mP

mP = 35 degrees

Hope this helps!

Step-by-step explanation:

The way to find sidewalk area :")

Answer:

Exact - 40n m²

Approximate 125.6m²

Step-by-step explanation:

Exact area of the sidewalk - n * (11 m)² - n * (9 m)²

- n * 121 m²- n * 81 m²

Exact area of the sidewalk - 40n m²

To find the approximate area of side walk let us substitute pi equals 3.14.

40*3.14 m²

Approximate area of the side walk - 125.6 m²

Therefore the exact area is 40n m² , the approximate area is 125.6 m²

An equation is formed of two equal expressions. There is no solution set of the equation 3x+13 = 3(x+6)+1.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation can be solved in the following manner,

[tex]3x+13 = 3(x+6)+1\\3x+13=3x+18+1\\3x+13=3x+19[/tex]

Since both the sides of the equation are the same in terms of variable and the constant terms are not the same. Therefore, there is no solution set of the equation 3x+13 = 3(x+6)+1.

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Answer: ZERO

Step-by-step explanation:

Answer:

15 and 45

Step-by-step explanation:

Let 1st number be x.

Then, 2nd number = 3x.

According to que,

3x+15=2(x+15)

3x+15=2x+30

x=15

Therefore, the two numbers are 15 and 45.

Answer:18

Step-by-step explanation: eight equals 24 hours so 75 hours equals 18

Answer:

75% of 3 days is 54 hours. 3 days is 72 hours, 72=100%, x = 75%, 72/x = 100%/75% x/72 = 75/100, x = 54.

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

If 5 is 36 muilplte by 2 to get ten and 72

Answer:

After investing for 10 years at 5% interest, your $2,000 investment will have grown to $3,258

Step-by-step explanation:

Your welcome

Answer:

25

Step-by-step explanation:

if you see 26-24=2

=>27-x=2

=>-x=2-27

=>-x=-25

=>x=25

Answer:The  median of the distribution is (first option)

1

Step-by-step explanation:

The values on the given table are presented as follows;

Value of spin: 0,1,2,5,10

Probability: 0.4,0.2,0.2,0.1,0.1

To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;

Cumulative probability, starting from the left, is therefore;

Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6
Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1

The solution is : The  median of the distribution is (first option) 1

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

here, we have,

The values on the given table are presented as follows;

Value of spin: 0,1,2,5,10

Probability: 0.4,0.2,0.2,0.1,0.1

To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;

Cumulative probability, starting from the left, is therefore;

Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6

Therefore, given that the probability of 0.5 occurs within the Value of Spin 1,

the median of the probability distribution is 1.

Hence, The solution is : The  median of the distribution is (first option) 1

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Answer:

24/7 = 3 3/7

Step-by-step explanation:

Always remember the formula:

tan x = (sin x)/(cos x)

[tex]tan \: x = \frac{sin \: x}{cos \: x} \\ = \frac{ \frac{24}{25} }{ \frac{7}{25} } \\ = \frac{24}{7} [/tex]

Answer:

30 inches

Step-by-step explanation:

In equilateral triangle all sides are equal. One side of the triangle EB is also the  side of a square.

So, all the sides of the square is 6 inches

Perimeter = sum of all sides

                  = AB  + BC + CD + DE + EA

                  = 6 + 6 + 6 + 6 + 6

                  = 5*6

                   = 30 inches

Answer:

Here,

length of the square BCDE(l)= 6 inches

Also,

length of the equilateral triangle ABE(l)=6 inches

Lastly, Perimeter of figure ABCDE= 5*6

=30 inches

or,Perimeter of the figure ABCDE also=

AB+BC+CD+DE+EA

=6+6+6+6+6

=30inches

Step-by-step explanation:

We know,

length DC of the square BCDE(l)=6inches

So,

DC=BC=BE=DE (All sides of a square are equal)

Again,

length BE of the equilateral triangle ABE=6inches

So,

BE=AB=AE (All sides of a equilateral triangle are equal)

Therefore, Perimeter of figure ABCDE=

AB+BC+CD+DE+EA or, 5*6

(perimeter means to sum all the outer sides a given polygon, in this case it's a Pentagon)

Please read cautiouly with patience

Answer:

[tex]\huge\boxed{\bf\:1}[/tex]

Step-by-step explanation:

At first, let's factorise the given three numbers.

[tex]12\\= 4 * 3*1\\= \underline {2*2*3*1}[/tex]

[tex]15\\= \underline{5*3*1}[/tex]

[tex]20\\= 4*5*1\\=\underline {2*2*5*1}[/tex]

Here, from the given factors, we can see that the three numbers (12, 15 & 20) don't have any common factors except for 1.

•°• The least numbers divisible by 12, 15 & 20 is 1.

[tex]\rule{150pt}{2pt}[/tex]