which expresssions are equivelant to 4(4a+5)

Answer:

packages: 1 grams: 11.6

packages:8 grams:92.8

grams: 116 packages: 10

Step-by-step explanation:

for the first, just divide 23.2/2=11.6

the grams of a package is 11.6

1x11.6=11.6

8x11.6=92.8

116/11.6=10

2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".

Let's start by factoring out the common factor of n^3 from each term:

2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)

Now, let's rewrite the expression as a single term multiplied by n^3:

2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3

Simplifying the expression inside the parentheses:

= (2n^3 + 3n^2 + 10n^3)/n^3

= (12n^3 + 3n^2)/n^3

= 12 + 3/n

ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.

Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

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The correct answer among the choices provided is A. 11.48.

Given that side XY of triangle XYZ corresponds to side JK of triangle JKL, we can set up the following proportion:

XY/JK = YZ/LJ

Substituting the given values:

8.7 / 12.18 = 7.8 / LJ

We solve this for LJ:

LJ = (7.8 * 12.18) / 8.7

Calculating that gives us:

LJ ≈ 11.48

So, the correct answer among the choices provided is A. 11.48.

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Answer:

It will pretty much  look the same except the lengths are different. just move every point down 3 and to the left two. Don't forget the x axis is first then the y axis. (x,y). After you plot these new points and "Connect-the-dots" your shape SHOULD  look the same.

The new points are:

(1,2)

(-1,0)

(-1,-2)

(0,-3)

(2,-3)

(3,-2) and...

(3,0)

Here's what it should look like before connecting the dots (you mentally connect the dots)

Answer:2 and 5

Step-by-step explanation:

i don't know a lot but hope it helped

201 numbers are less than 2017

If and only if it is odd, a number is the sum of two successive integers.

Only if it is a multiple of 5 is a number considered to be the sum of 5 consecutive integers. If you have any doubts, remember that the product of five consecutive integers equals five times the integer in the middle (this remains true if instead of 5 you put in any odd positive integer).

Consequently, you are seeking odd multiples of 5 below 2017. There are 403 multiples of 5 immediately below 2017, or 2015/5. Of those, 202 are odd. It is necessary to eliminate the number 5 because it is not completely positive when expressed as the sum of its successive integers, which is (-1)+0+1+2+3.

There are 201 numbers left.

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The probability that the ball selected from box II is red is 1/2.

Let E1 be the event that a red ball is selected from the first box.

Let E2 be the event that a red ball is selected from the second box. Using the law of total probability, we haveP(E2)=P(E1)P(E2|E1) + P(E1')P(E2|E1')where P(E1) is the probability of picking a red ball from the first box, P(E1') is the probability of picking a green ball from the first box.

P(E2|E1) is the probability of picking a red ball from the second box given that a red ball has been picked from the first box and P(E2|E1') is the probability of picking a red ball from the second box given that a green ball has been picked from the first box.

Using the definition of conditional probability, we have P(E2|E1) = P(picking a red ball from the second box and a red ball from the first box)/P(picking a red ball from the first box)= (2/5 x 3/4)/(3/5) = 1/2P(E2|E1') = P(picking a red ball from the second box and a green ball from the first box)/P(picking a green ball from the first box)= (2/4 x 2/5)/(2/5) = 1/2P(E1) = 2/5, P(E1') = 3/5

Putting all values back into the equation P(E2) = (2/5 x 1/2) + (3/5 x 1/2) = 1/2Therefore, the probability of picking a red ball from the second box is 1/2.

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For solving the inequalities, there are more than four steps.

The step to solve given inequalities, the first step is to add the same number to both sides, the second step is to  Subtract the same number from both sides and the third step is to  Multiply both sides by the same positive number, and the fourth step is to  Divide both sides by the same positive number, and the fifth step is to Multiply both sides by the same negative number and reverse the sign and the last step is to Divide both sides by the same negative number and reverse the sign. Out of which steps 2,3,4 and 5 are the most important steps.

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Answer:

angle ABC is a straight angle or, 180°

After the depression in the principality of Lucastan, the number of unemployed workers who gave up searching completely (3 million) is greater than the number of unemployed workers (8 million).

During the depression, a total of 8 million workers in Lucastan lost their jobs. However, out of these 8 million, only 3 million workers completely gave up searching for employment. This means that there are 3 million workers who are not actively seeking employment anymore.

While both numbers are significant, the 3 million workers who gave up searching completely is greater than the 8 million unemployed workers. This highlights the discouragement and lack of job prospects that led these workers to withdraw from the labor force entirely.

The 3 million workers who have given up searching completely may face challenges in re-entering the workforce, as they may have become discouraged or may have taken on other responsibilities during their period of unemployment. This can have long-term implications for the labor market and the economy of Lucastan.

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To evaluate the given integrals, we can use the properties of definite integrals and the given information. The integral ∫₀⁷ f(x) dx can be evaluated by splitting it into two parts: ∫₀⁵ f(x) dx and ∫₅⁷ f(x) dx.

Given: ∫₀⁵ f(x) dx = 13 and ∫₅⁷ f(x) dx = 6

a) To evaluate ∫₀⁷ f(x) dx, we split it into two parts:

∫₀⁵ f(x) dx + ∫₅⁷ f(x) dx

Using the given information, we substitute the known values:

∫₀⁷ f(x) dx = ∫₀⁵ f(x) dx + ∫₅⁷ f(x) dx

∫₀⁷ f(x) dx = 13 + 6

∫₀⁷ f(x) dx = 19

b) To evaluate ∫₀⁵ f(x) dx, we already know that ∫₀⁵ f(x) dx = 13.

c) To evaluate ∫₅⁵ f(x) dx, we can observe that the interval is from 5 to 5, which means there is no interval or area under the curve. Therefore, ∫₅⁵ f(x) dx = 0.

d) To evaluate ∫₀⁵ 2f(x) dx, we can use the property of scaling. Since we multiply the integrand by 2, the integral also gets multiplied by 2:

∫₀⁵ 2f(x) dx = 2 * ∫₀⁵ f(x) dx

Using the given information, we substitute the known value:

∫₀⁵ 2f(x) dx = 2 * 13

∫₀⁵ 2f(x) dx = 26

Therefore, the values of the given integrals are:

a) ∫₀⁷ f(x) dx = 19

b) ∫₀⁵ f(x) dx = 13

c) ∫₅⁵ f(x) dx = 0

d) ∫₀⁵ 2f(x) dx = 26

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You have the expression 3⁰

Take into account that any number powered to 0 is equal to 1.

Then, you have:

3⁰ = 1

Answer:

A) 60

B) 72/300

C) 150

Step-by-step explanation:

A) P(green) = ⅕

⅕ × 300 = 60

B) purple: 72

45+37+52+94+72 = 300

Therefore, 72/300

C) 1000 × (45/300)

150

a, The number of times is 60.

b. The probability for landing should be \(72/300\)

c. The number of times is 150.

Since

a. The spinner shown is spun 300 times

and, the probability of green should be like \(1/5\)

So here one-fifth of 300 should be 60.

b. The probability is

First the total be like

= 45+37+52+94+72

= 300

Now the probability is

=  \(72/300\)

C) The number of times should be

\(= 1000 * (45/300)\)

= 150

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Answer:

a, 8,300

Step-by-step explanation:

Looks like the system is

x + 4y - z = -14

5x + 6y + 3z = 4

-2x + 7y + 2z = -17

or in matrix form,

\(\mathbf{Ax} = \mathbf b \iff \begin{bmatrix} 1 & 4 & -1 \\ 5 & 6 & 3 \\ -2 & 7 & 2 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} -14 \\ 4 \\ -17 \end{bmatrix}\)

Cramer's rule says that

\(x_i = \dfrac{\det \mathbf A_i}{\det \mathbf A}\)

where \(x_i\) is the solution for i-th variable, and \(\mathbf A_i\) is a modified version of \(\mathbf A\) with its i-th column replaced by \(\mathbf b\).

We have 4 determinants to compute. I'll show the work for det(A) using a cofactor expansion along the first row.

\(\det \mathbf A = \begin{vmatrix} 1 & 4 & -1 \\ 5 & 6 & 3 \\ -2 & 7 & 2 \end{vmatrix}\)

\(\det \mathbf A = \begin{vmatrix} 6 & 3 \\ 7 & 2 \end{vmatrix} - 4 \begin{vmatrix} 5 & 3 \\ -2 & 2 \end{vmatrix} - \begin{vmatrix} 5 & 6 \\ -2 & 7 \end{vmatrix}\)

\(\det \mathbf A = ((6\times2)-(3\times7)) - 4((5\times2)-(3\times(-2)) - ((5\times7)-(6\times(-2)))\)

\(\det\mathbf A = 12 - 21 - 40 - 24 - 35 - 12 = -120\)

The modified matrices and their determinants are

\(\mathbf A_1 = \begin{bmatrix} -14 & 4 & -1 \\ 4 & 6 & 3 \\ -17 & 7 & 2\end{bmatrix} \implies \det\mathbf A_1 = -240\)

\(\mathbf A_2 = \begin{bmatrix} 1 & -14 & -1 \\ 5 & 4 & 3 \\ -2 & -17 & 2 \end{bmatrix} \implies \det\mathbf A_2 = 360\)

\(\mathbf A_3 = \begin{bmatrix} 1 & 4 & -14 \\ 5 & 6 & 4 \\ -2 & 7 & -17 \end{bmatrix} \implies \det\mathbf A_3 = -480\)

Then by Cramer's rule, the solution to the system is

\(x = \dfrac{-240}{-120} \implies \boxed{x = 2}\)

\(y = \dfrac{360}{-120} \implies \boxed{y = -3}\)

\(z = \dfrac{-480}{-120} \implies \boxed{z = 4}\)

Answer:

in photo attached.

Step-by-step explanation:

Step-by-step explanation:

cos (3x-7)

0,9335804265

sin (2x+5)

0,1736481777

Answer:

question 9

92/11 or 8.36

Step-by-step explanation:

angle on straight line is 180

:. 10x+1 + 12x-5 = 180

collect like terms

10x+12x = 180+5-1

22x = 184

divide both sides by the coefficient of x

22x/22 = 180/22

:. x = 180/22(to d lowest form= 92/11)

or 8.36

The polynomial that must be added to x^(2)-2x+6 is 2x^(2) + 9x - 6.

To find the product of the two polynomials (2x^(4)y)(3x^(5)y^(8)), we need to use the distributive property and combine like terms.

The distributive property states that a(b+c) = ab+ac. So, we can distribute the first polynomial to each term in the second polynomial:

(2x^(4)y)(3x^(5)y^(8)) = (2x^(4)y)(3x^(5)) + (2x^(4)y)(y^(8))

Next, we can combine like terms by adding the exponents of the variables:

= 6x^(4+5)y^(1+8)

= 6x^(9)y^(9)

So, the product of the two polynomials is 6x^(9)y^(9).

To find the polynomial that must be added to x^(2)-2x+6 so that the sum is 3x^(2)+7x, we can set up an equation:

x^(2)-2x+6 + (a+bx+cx^(2)) = 3x^(2)+7x

Then, we can rearrange the equation to solve for the polynomial:

a+bx+cx^(2) = 3x^(2)+7x - x^(2) + 2x - 6

a+bx+cx^(2) = 2x^(2) + 9x - 6

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The scale of the drawing by using proportion is 3 : 5.

According to the given question.

Melissa drew a scale drawing of a city.

The width of the park in the drawing is 36 inches.

And the actual width of the park is 60 yards.

As we know that, a proportion is a fraction of a total amount, and the measures are related using a rule of three.

Therefore, the scale of the drawing by using proportion

= 36iches/ 60 yards

= 3/5

= 3 : 5

Hence, the scale of the drawing by using proportion is 3 : 5.

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Answer:

answer c is 28 cubes

Step-by-step explanation:

Answer:

i dont know a but for b its 3.5 and c is 28 cubes.

Step-by-step explanation:

Let L be a context-free language. Then there exists an n≥1 such that for any string w∈L with ∣w∣≥n, there exist strings x,y,z,u,v satisfying the conditions: i. ∣yzu∣≤n, ii. ∣y∣+∣u∣>0, and iii. xyizuiv∈L for all i≥0. Using this, we can show that the language L={ai3∣i≥2} is not context-free.

The Pumping Lemma is a useful tool to prove that certain languages are not context-free. It states that for any context-free language L, there exists a pumping length n such that any string in L with length at least n can be divided into five parts: x, y, z, u, and v. These parts satisfy the conditions mentioned above.

Now, let's apply the Pumping Lemma to the language L={ai3∣i≥2}. We assume that L is context-free. Therefore, there exists a pumping length n such that any string w∈L with ∣w∣≥n can be divided into x, y, z, u, and v satisfying the conditions.

Considering the properties of L, we know that every string in L has the form a^n3, where n is greater than or equal to 2. Now, if we choose a string w=a^n3 from L, we can divide it into x, y, z, u, and v as per the Pumping Lemma.

Next, we choose i=0, which allows us to pump down the number of 'a's in the string. However, this contradicts the condition that xyizuiv∈L for all i≥0, as pumping down the 'a's would result in a string that does not belong to L.

Hence, we have reached a contradiction, which proves that the language L={ai3∣i≥2} is not context-free.

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Answer:

The answer is "9".

Step-by-step explanation:

Given equation:

\(\to 35-4x=-1 \\\\\to 35+1 = 4x\\\\\to 36=4x\\\\\to 4x= 36\\\\\to x=\frac{36}{4}\\\\\to x=9\)

Answer:

16%

Step-by-step explanation:

To calculate this we first need to calculate the probability of Mario scoring for every individual shot that he takes. Since he makes 2 goals for every 5 shots on average, we simply divide these numbers to get the probability of a goal per shot.

2 / 5 = 0.4  ...multiply by 100 to get percentage value

0.40 * 100 = 40%

We see that the probability of scoring a goal per shot is 40%. Now we need to multiply this probability twice to get the probability of scoring 2 consecutive goals in two shots.

0.40 * 0.40 = 0.16  ... multiply by 100 to get percentage value

0.16 * 100 = 16%

Answer:

16%

Step-by-step explanation:

I know that 2/5 = 0.4 or 40%

and 0.4 x 0.4 = 0.16

or 16%

basically what the other one said, without words

Answer:

a)

10 markers : 7 USD

24 markers : 14 USD

42 markers : 21 USD

b)

64 markers : 28 USD

Step-by-step explanation:

10 markers : 7 USD

24 markers : 14 USD

For 10 markers, the price is 7 USD;

For 14 additional markers, the price increased by 7 USD;

Following the pattern, an additional 18 markers would see the price further increase by 7 USD;

So:

24 + 18 = 42

42 markers : 21 USD

Then, an additional 22 markers would cost 7 USD more than this;

42 + 22 = 64

64 markers : 28 USD

The probability that fewer than 60 adults will work from home will be 2%.    

we have to use the Normal probability distribution to find the probability

In a normal distribution with mean μ, SD σ, z-score Z of a measure X  is given by

Z = (X-μ)/ σ

here,

15% adults work from home , So  p= 0.15

                                                       n = 500

∴  μ = np = 500(0.15) = 75

σ  = \(\sqrt{np(1-p)}\)

σ = 7.98

Now we have  selected adults(60) less than n (500)

So using the continuity correction , the probability is P(X< 60 - 0.5)

                                                                            = P( X< 59.5)

which is the p-value of Z when X = 59.5

∴ Z = (X-μ)/ σ

Z  =  (59.5 - 75)/7.98

Z =   - 1.98

so the p-value is 0.02

0.02 = 2% probability that fewer than 60 adults will work from home.

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E. This polynomial could be factored by using grouping or the perfect squares methods.

From the question, we have the following parameters that can be used in our computation:

x^2 + 2x + 1

Expand

x^2 + x + x + 1

Factorize the expression

(x + 1)(x + 1)

This gives

(x + 1)^2

Hence, the solution is (e)

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Answer:

If four friends can eat four cakes in four days, then four friends will eat an average of one cake per day, so each friend will be able to eat 1/4 of a cake per day.

So 10 friends will eat 10/4 of cake per day, or two and a half cakes per day, so they will eat 2,5 * 10 = 25 (twenty-five) cakes per 10 days, assuming they will eat at the same rate

Step-by-step explanation:

Branily?

The coordinates of (x′′, y′′) are (-12, 2).

We are given that;

The point (x, y)=(14, 12)

x=8

Now,

we need to reflect the point (x, y) = (14, 12) across the line x = 8. To do this, we can use the formula for reflection across a vertical line x = k: (x, y) (2k - x, y). In this case, k = 8, so we get:

(x’, y’) = (2 * 8 - 14, 12) = (2, 12)

This means that the point (14, 12) is reflected to the point (2, 12) across the line x = 81.

Next, we need to rotate the point (x’, y’) = (2, 12) 90° counterclockwise around the origin. To do this, we can use the formula for rotation around the origin: (x, y) = (-y, x). We get:

(x’‘, y’') = (-12, 2)

This means that the point (2, 12) is rotated to the point (-12, 2) 90° counterclockwise around the origin.

Therefore, by the reflection the answer will be (x’‘, y’') = (-12, 2).

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To achieve better accuracy when adding the numbers from 0.01 to 1.00, it is recommended to add the numbers in ascending order (from smallest to largest) to minimize the accumulation of rounding errors and maintain higher precision during intermediate calculations. Thus, starting with 0.01 and ending with 1.00 would provide better accuracy.

To achieve better accuracy when adding the numbers from 0.01 to 1.00, it is generally recommended to use an order that minimizes the accumulation of rounding errors. In this case, it is advisable to start with the smaller numbers and progress towards the larger ones.

By adding the numbers in ascending order (from 0.01 to 1.00), the rounding errors at each step will have a smaller impact on the overall result. This is because adding smaller numbers together first helps maintain a higher level of precision during intermediate calculations.

Therefore, to achieve better accuracy, you should add the numbers in ascending order, starting with 0.01 and ending with 1.00.

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