Factor completely: x2 + 10x + 24 (Which is the right answer?)


Prime

(x + 12)(x + 2)

(x + 3)(x + 8)

(x + 6)(x + 4)

Answer:

121.7

Step-by-step explanation:

73

+48.7

=121.7

121.7

-73

=48.7

To add 73 and 48.7, align them based on the decimal point and add each column from right to left to get the result of 121.7.

The task is to add 73+48.7. The best way to go about this is to align the numbers vertically, taking the decimal point into account:

Now, add each column from right to left. In the first column, we have 0+7, which equals 7. In the next column, we have 3+8, which equals 11. Write down the 1 and carry over the 1 on top of the next column. In the last column, we have 7 (from the carried-over value and the number 7); add it to 4, which equals 11. The final result is 121.7.

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Answer:

(25 + 25/√2)²

= 25² + 50*25/√2 + (25/√2)²

= 625 + 1250/√2 + 625/2

≈ 625 + 883.883 + 312.5

≈ 1821 sq. cm

Step-by-step explanation:

Imagine starting by putting the diameter of the semicircle directly in the corner of a square but at a 45 degree angle. That makes a 45-45-90 triangle with the hypotenuse being 50 cm.

Now take the midpoint of this and draw your semicircle. The distance from this point up will be the radius (25 cm). And down will be the side of a triangle with hypotenuse 25. This ends up being 25/√2.

So one dimension would be 25 + 25/√2, and so would the other. Multiplying this together we get:

ANSWER

The area of the smaller rectangle is 8 cm²

EXPLANATION

Let the area of the smaller rectangle be s.

The scale factor for the enlargement is

[tex]k = 5[/tex]

The corresponding change is area is

[tex] {k}^{2} = {5}^{2} = 25[/tex]

When we multiply this by the area of the smaller rectangle we obtain the area of the bigger rectangle.

[tex]25s = 200[/tex]

[tex]s = \frac{200}{25} [/tex]

[tex]s = 8 {cm}^{2} [/tex]

Answer:

240 cubic cm

Step-by-step explanation:

8*10*3

=80*3

=240

Answer:

240 cm^3

Step-by-step explanation:

We are given a rectangular prism with dimensions 8 cm, 10 cm and 3 cm and we are to find its surface area.

We know that the surface area of a rectangular prism is given by:

Volume of rectangular prism [tex] = w \times h \times l[/tex]

Substituting the given values in the above formula:

Volume of the right rectangular prism = [tex]8 \times 10 \times 3[/tex] = 240 cm^3

Answer:

[tex]t = 23.10\ years[/tex]

Step-by-step explanation:

We have an exponential decay function:

[tex]A = A_0e ^{-0.03t}[/tex]

This function decreases as the years pass. That is, if A is the quantity for a time t and [tex]A_0[/tex] is the original quantity at time t = 0 then:

[tex]A <A_0[/tex]

We want to know for what value of t the value of A decreases by half of  [tex]A_0[/tex]. That is, we want to know when [tex]A = \frac{A_0}{2}[/tex]

Then we do:

[tex]\frac{A_0}{2} = A_0e ^{-0.03t}\\\\\frac{1}{2} =e ^{-0.03t}\\\\ln(\frac{1}{2}) = -0.03t\\\\t = \frac{ln(\frac{1}{2})}{-0.03}[/tex]

[tex]t = 23.10\ years[/tex]

Answer:

option C)

3^(5)

Step-by-step explanation:

given in the question  an expression

 3² x 3³

We will use the exponent "product rule" which tells us that, when multiplying two powers that have the same base, you can add the exponents.

Here

the base = 3

the exponent are = 2 and 3

Simplification

3^(5)

[tex]\bold{Hey\ there!} \\ \\ \bold{3^2=3\times3\rightarrow9 \ \ & \ \bold{3^3=3\times3\times3\rightarrow27}} \\ \\ \\ \bold{9\times27=243} \\ \\ \\ \bold{Options\downarrow} \\ \\ \\ \bold{3^8=6,561(not\ your\  answer)} \\ \\ \\ \bold{3=3(not\ your\ answer)} \\ \\ \bold{3^5=243(answer)} \\ \\ \bold{3^6=729(not\ your\ answer)}[/tex]

[tex]\bold{Your\ front\ number(s)\ (3) \ stays\ the\ same\  \& \ 2+3=5}[/tex]

[tex]\boxed{\boxed{\bold{Thus,\ your\ answer\ is:\ Option\ C. 3^5}}}\checkmark \\ \\ \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

There are 4 people. They average 68, so the total key chains are 68 x 4 = 272.

Tarun has 78, so the other three people have a total of 272 - 78 = 194.

Let Marcus = X

James has half as many as Marcus, so he is 0.5X

Yahya is (x + 0.5x)-28 = 1.5X-28

Now add them together to equal 194:

X + 0.5x + 1.5x -28 = 194

Simplify:

3x -28 = 194

Add 28 to each side:

3x = 222

Divide both sides by 3:

x = 222 / 3

x = 74

Marcus = x = 74 key chains.

James = 0.5x = 0.5(74) = 37 key chains.

Yahya = 1.5x-28 = 1.5(74) -28 = 111-28 = 83 key chains.

Tarun = 78 key chains.

Check: 74 + 37 + 83 + 78 = 272 ( matches the total above).

Answer:

slope = [tex]\frac{6}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

where (x₁, y₁ ) = (8, 10) and (x₂, y₂ ) = (1, 4)

m = [tex]\frac{4-10}{1-8}[/tex] = [tex]\frac{-6}{-7}[/tex] = [tex]\frac{6}{7}[/tex]

The slope of the line that passes through the points (8, 10) and (1, 4) is found to be 6/7.

To find the slope of a line that passes through two points, we can use the formula for slope, which is:

slope (m) = (y2 - y1) / (x2 - x1)

Applying this formula to the given points (8, 10) and (1, 4), we get:

slope (m) = (10 - 4) / (8 - 1) = 6 / 7

So, the slope of the line that passes through the points (8, 10) and (1, 4) is 6/7.

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ To find the median, you need to order your numbers first.

14, 16, 18, 21, 34, 60

There is an even amount of numbers, so you find the mean of the middle two numbers.

18+21=39/2=19.5

Median=19.5

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ First, you need to order the numbers.

14, 16, 18, 21, 34, 60

Then, you find the middle number, which is the average of the middle two numbers if the amount of numbers is even.

18+21/2

18+21=39

39/2=19.5

Final answer:

The median of the numbers if 19.5

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

Answer:

$157.80

Step-by-step explanation:

$789 / 5 bikes

157.80 you just divide

Answer: When I tried I got 432 ft

Step-by-step explanation:

All I did was this.

2 ft x 12 ft x 18 ft = 432 ft.

Check on the calculator also and see the answer for yourself.

The identity is 3w + 8 – w = 4w – 2(w – 4)

2w+8=4w−2(w−4)

2w+8=4w−2w+8

2w+8=2w+8

Since both sides equal so it is an identity

Red ribbon

=Blue ribbon ×5

=11 m

So, changes the times symbol into divide

11m ÷ 5

=2.2m

Check!

Red ribbon=Blue ribbon × 5

11m=Blue ribbon × 5

11m÷5=Blue ribbon

2.2m=Blue ribbon

Blue ribbon=2.2m

Answers

2.2m

To find the length of the blue ribbon, divide the length of the red ribbon (11 meters) by 5. This calculation reveals that the blue ribbon is 2.2 meters long.

The question asks us to find the length of a blue ribbon when we know a red ribbon is 11 meters long and is 5 times as long as the blue ribbon. To solve this, we divide the length of the red ribbon by 5:

Therefore, the length of the blue ribbon is 2.2 meters.

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30-13 !!! JUST DID IT

Step-by-step explanation:

The solution to the vector equation x + b = c, given vectors B = [8, 4] and C = [22, -9], is x = [14, -13]. This solution is found by subtracting the corresponding entries of the vectors B from C.

To solve the equation x + b = c, specifically with vectors B = [8, 4] and C = [22, -9], you need to use vector subtraction. Applying this operation to the given equation, we have:

x = c - b

By plugging in the given values:

x = [22, -9] - [8, 4]

Subtract the corresponding entries of the vectors:

x = [22 - 8, -9 - 4]

So, the solution to this equation is:

x = [14, -13]

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Answer:

the distance would be 93020000000

The standard notation for a distance of 9.302 x 10^10 miles is 930,200,000,000 miles, as scientific notation is converted into standard notation by moving the decimal point right if the exponent is positive.

The student's question asks about converting a scientific notation into its standard notation. Scientific notation is just a way to express either extremely large or small numbers in a more concise and convenient way. In this case, the scientific notation is 9.302 x 10^10 miles.

To convert 9.302 x 10^10 from scientific notation to standard notation, you move the decimal point 10 places to the right because the exponent of 10 is positive. When you do this, you should get 930200000000.

So, the standard notation for a distance of 9.302 x 10^10 miles is 930,200,000,000 miles.

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The image point of (8,4) after a translation left 2 units and down 4 units is (6,0), obtained by subtracting 2 from the x-coordinate and 4 from the y-coordinate.

The image point of (8,4) after a translation left 2 units and down 4 units would be found by subtracting 2 from the x-coordinate and 4 from the y-coordinate of the original point. A translation does not change the shape or orientation of the figure, it just moves every point of the figure the same distance in the same direction.

To find the new coordinates after the translation:

Therefore, the image point after the translation is (6,0).

Answer:

44

Step-by-step explanation:

first we take the number he gave to his mom and put it to the side for later then we see that 8 bags had 4 candy bars each so 8*4 is 32 then we bring the 12 bars that he gave to his mom and add that to 32 so 32+12 and the answer would be 44

Ross bought a total of 44 candy bars, considering the 12 he gave to his mom and the 32 he divided among the 8 small bags.

To determine how many candy bars Ross bought at the store, we first need to calculate the total number of candy bars in the small bags. Ross divided the remaining candy bars into 8 small bags, with each small bag containing 4 candy bars. Therefore, the total number of candy bars in the small bags is

8 bags x 4 candy bars per bag,

which equals 32 candy bars. However, we must not forget that Ross also gave 12 candy bars to his mom. Thus, the total number of candy bars Ross bought is the sum of the candy bars given to his mom and the candy bars in the small bags, which is

12 candy bars + 32 candy bars,

resulting in 44 candy bars.

Answer:

The measure of angle SRP is 90°

Step-by-step explanation:

In this problem

RS is tangent to circle P at point R

so

PR (the radius) is perpendicular to RS

therefore

m<SRP=90°

To find the weight of each book in a box of 20 books, divide the total weight of 15 lbs by 20. Each book weighs 0.75 lbs.

The problem at hand is asking for the weight of each individual book. The total weight of the books is given as 15 lbs, and there are 20 books in total. To find out the weight of each book, one must divide the total weight by the number of books. So, in this case, divide 15 lbs by 20. Thus, each book weighs 0.75 lbs.

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Final answer:

To find the weight of each book, divide the total weight of all the books (15 lbs) by the number of books (20), resulting in an average weight of 0.75 pounds per book.

Explanation:

The question asks to find the average weight of each book if a box containing 20 books weighs 15 pounds in total. To solve this, divide the total weight of the books by the number of books.

Step 1: Find the total weight of the books. The total weight is given as 15 lbs.

Step 2: Find the number of books. The number of books is given as 20.

Step 3: Calculate the average weight per book. Divide the total weight by the number of books to get the average weight per book:

15 lbs ÷ 20 books = 0.75 lbs per book.

Therefore, each book in the box weighs 0.75 pounds.

When the dimensions of a prism are tripled, the scale factor is 3, so the new surface area is obtained by squaring the scale factor and multiplying it by the original surface area. Therefore, the new surface area will be 1548 cm².

The concept in question here pertains to geometric scaling and involves understanding how changes in dimensions affect the surface area of a three-dimensional shape. According to the rules of geometric scaling, when the dimensions of a shape are multiplied by a scale factor, the surface area is multiplied by the scale factor squared.

In this case, the scale factor is 3, so to determine the new surface area when the dimensions of a prism are tripled, you square the scale factor (3² = 9) and multiply it by the original surface area. So, the new surface area = 9 * 172 cm² = 1548 cm².

To find the surface area of a prism, we add up the areas of all its faces. Let's assume the original prism has side lengths x, y, and z. The surface area of the prism is 2(xy + xz + yz). If each dimension is tripled, the new dimensions of the prism would be 3x, 3y, and 3z. Therefore, the new surface area of the prism would be 2(3x3y + 3x3z + 3y3z) = 18(xy + xz + yz).

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yes!!!!!!!!!!!!!!!!!!!!!

Non-terminating decimals are not included in the set of rational numbers. This is because rational numbers consist of numbersthat are integers.

Answer: D) Al non-terminating decimals

Credit to: @Jimthompson5910

--_--_--_--_--_--_--_--_--_--_--_--_--_--_--_--_--

love like Jesus, live like Jesus

Answer:

33

Step-by-step explanation:

mow

Answer:

B.

Step-by-step explanation:

Total number of marbles: 3 + 7 = 4 = 14

Number of white marbles: 7

First drawing of white marble: 7/14

There is no replacement, so after the first white marble has been drawn, now there are 13 marbles left of which 6 are white.

Second drawing of a white marble: 6/13

Probability of drawing a white marble followed by drawing a white marble is:

7/14 * 6/13

Answer: B.

Answer:

B.[tex] \frac{7}{14}*\frac{6}{13}[/tex]

Step-by-step explanation:

From the table, the number of white marbles is 7.

[tex]n(W)=7[/tex]

The total number of marbles is 7+3+4=14

[tex]n(S)=14[/tex]

The probability of drawing a white marble is [tex]\frac{7}{14}[/tex].

The probability of drawing another white marble without replacing the first one is [tex]\frac{6}{13}[/tex]

The probability that both marbles are white is

[tex]P(both\:are\:white)=P(W_1)*P(W_2)[/tex]

[tex]P(both\:are\:white)=\frac{7}{14}*\frac{6}{13}[/tex]

Answer:

3467.2

Move the decimal to the right three times, then put the decimal between the 3rd and 4th place.

Simplify : ( 5 + 4i ) + ( 3 - 2i ) = ?

Simplify by combining the real and imaginary parts of each expression.

= 8 + 2i

Hope this helps,

Davinia.

The original price was $120.00.

30 percent of $120.00 is $36 and if you add those together they equal $156.00.

I hope that makes sense and was helpful.

Answer:

{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}

Step-by-step explanation:

sinx can run from -1 to +1

2sinx can run from -2 to +2

2sinx -1 can run from -3 to +1

However, the square root is imaginary when x < 0. So, the condition is

2sinx -1 ≥ 0

2sinx ≥ 1

sinx ≥ ½

x ≥ π/6 (30°)

So, in the interval [0, 2π], π/6 ≤ x ≤ 5π/6

However, the sine is a cyclic function and repeats itself every 2π.

Over all real numbers, the condition is (π/6 +2πn) ≤ x ≤ (5π/6 + 2πn).

The domain is then

{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}

Answer:

(- 5, 0), (3, 4)

Step-by-step explanation:

Given the 2 equations

2y - x = 5 → (1)

x² + y² - 25 = 0 → (2)

Rearrange (1) expressing x in terms of y

x = 2y - 5 → (3)

Substitute x = 2y - 5 into (2)

(2y - 5)² + y² - 25 = 0 ← expand parenthesis and simplify

4y² - 20y + 25 + y² - 25 = 0

5y² - 20y = 0 ← factor out 5y from each term

5y(y - 4) = 0

Equate each factor to zero and solve for y

5y = 0 ⇒ y = 0

y - 4 = 0 ⇒ y = 4

Substitute these values into (3) for corresponding values of x

y = 0 : x = 0 - 5 = - 5 ⇒ (- 5, 0)

y = 4 : x = 8 - 5 = 3 ⇒ (3, 4)

Answer:

y=0 or 4, x=-5 or 3

Step-by-step explanation:

First make one unknown in the first equation the subject of the formula.

2y-x=5 will become:x=2y-5

Then in the second equation, wherever there is x we substitute it with 2y-5

(2y-5)²+y²-25=0         (2y-5)(2y-5)+y²-25=0

opening the brackets gives: 4y²-10y-10y+25+y²-25=0

5y²-20y=0

Factorizing the equation we get the following:

y(5y-20)=0

y=0 or

5y-20=0

5y=20

y=4

Thus y=0 or 4

Substitute 0 and 4 for y in any of the equations provided.

Picking the first equation and starting with y=0

2(0)-x=5

x=-5

Using y=4

2(4)-x=5

x=3

312 people bought balcony seats and 396 people bought ground seats.

the original price is "x", or 100%.

but we know that if we reduce "x" by 20%, namely 100% - 20% = 80%, the 80% of "x" is really £50, what is "x" or the 100% anyway?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 50&80 \end{array}\implies \cfrac{x}{50}=\cfrac{100}{80}\implies \cfrac{x}{50}=\cfrac{5}{4}\implies 4x=250 \\\\\\ x=\cfrac{250}{4}\implies x=62.5[/tex]

I think the answer is B and C