#4: Lauren is saving for a new purse that costs $65. She already has$14 and will earn $2 for a weekly allowance. Her dad will also give her$3 a week for good behavior. How many weeks will it take beforeLauren has enough money for her new purse?

Answer:

0.022

Step-by-step explanation:

let me explain the number before the decimal is the whole number now what ever is behind the decimal izs a decimal for example 0.1 is 0 and the .1 is the tenth

The only true statement about the domain of the given function is:

B. f(x) is negative for all x < -5

The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).

Now, we are given the function as:

f(x) = \(\frac{2}{x^{2} } + 3x - 10\)

When x < -5, we have:

f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)

f(-4) = -21.875

This suggests that for all values below x = -5 will result in negative values

When x > 2

f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)

f(3) = -0.78

Thus, it will get positive for higher values but it can also be negative as seen here.

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Answer:

\(\dfrac{(a+2\sqrt{b})^2 }{a^2-4b}\)

Step-by-step explanation:

To rationalise the denominator, multiply by the expression by \(\dfrac{a+\sqrt{4b} }{a+\sqrt{4b} }\):

\(=\dfrac{a+\sqrt{4b} }{a-\sqrt{4b} }\times\dfrac{a+\sqrt{4b} }{a+\sqrt{4b} }\)

\(=\dfrac{(a+\sqrt{4b}) (a+\sqrt{4b})}{(a-\sqrt{4b}) (a+\sqrt{4b})}\)

\(=\dfrac{(a+\sqrt{4b})^2 }{a^2-4b}\)

\(=\dfrac{(a+2\sqrt{b})^2 }{a^2-4b}\)

\(\\ \rm\hookrightarrow \dfrac{a+\sqrt{4b}}{a-\sqrt{4b}}\)

\(\\ \rm\hookrightarrow \dfrac{a+x}{a-x}\)

\(\\ \rm\hookrightarrow \dfrac{(a+x)^2}{a^2-x^2}\)

\(\\ \rm\hookrightarrow \dfrac{a^2+2ax+x^2}{a^2-x^2}\)

\(\\ \rm\hookrightarrow \dfrac{a^2+2a\sqrt{4b}+4b}{a^2-4b}\)

Answer:

125.4

Step-by-step explanation:

Given

\(Number = 125.3546\)

Required

Round to 1 decimal place

Up till the first decimal place, the number is:

\(Number = 125.3\)

The digit after .3 is 5

The conditions for approximation are:

In this case: 5 > 4, so we approximate to 1

Add this "1" to the last digit of 125.3. This becomes 125.4

Hence: when the number is approximated to 1 decimal place, the digit is 125.4

The 95% confidence interval for the average width of the cookies is given as follows:

(5.142, 5.258).

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 67 - 1 = 66 df, is t = 1.9966.

The parameters are given as follows:

\(\overline{x} = 5.20, s = 0.24, n = 67\)

The lower bound of the interval is given as follows:

5.20 - 1.9666 x 0.24/sqrt(67) = 5.142.

The upper bound of the interval is given as follows:

5.20 + 1.9666 x 0.24/sqrt(67) = 5.258.

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The probability that the student lived in the Gold dorm and was an underclassmen is of:

0.035 = 3.5%.

A probability is calculated by the division of the number of desired outcomes by the number of total outcomes.

The parameters for this problem are given as follows:

Hence the probability that the student lived in the Gold dorm and was an underclassmen is calculated as follows:

p = 0.7 x 0.05 = 0.035 = 3.5%.

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Answer:

Wouldn't P be something less or equal to an acute angle? Try 75°.

Answer:

its 300∘ I got it right

Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)

Answer:

\( {y}^{3} + 3\)

Step-by-step explanation:

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : 3 is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Answer:

your answer is 14

plz mark as brainliest

Step-by-step explanation:

Answer:

Your correct answer is 14

Step-by-step explanation:

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Answer:

5778

Step-by-step explanation:

1+2+3+4+5+....+105+106+107

The sequence of numbers (1, 2, 3, … , 107) is arithmetic and when we are looking for the sum of a sequence, we call it a series. Thanks to Gauss, there is a special formula we can use to find the sum of a series:

S=n(n+1)/2=11556÷2=5778

S is the sum of the series and n is the number of terms in the series, in this case, 107

There are other ways to solve:

This is an arithmetic series, for which the formula is:

S = n[2a+(n-1)d]/2

where a is the first term, d is the difference between terms, and n is the number of terms.

For the sum of the first 107 whole numbers:

a = 1, d = 1, and n = 107

Therefore, sub into the formula:

S = 107[2(1)+(107-1)(1)]/2 =

107(2+106)/2=107*108/2=5778

so she blow out 5778 candless during her lifetime

The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0

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

(-3)0

The above statement is a product expression that multiplies the values of -3 and 0

Also, there is no need to check if there are like terms in the expression or not

This is  because we are multiplying the factors

So, we have

(-3)0 = 0

This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0

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Answer:

The missing number is 30

Step-by-step explanation:

When you look at the chart and see that it starts at 6 and then goes to 12,18, and 24 you are simply adding 6 each time to get the next number.

Answer:

1.85

Step-by-step explanation:

Hope you have a good day, Loves!

Also if I'm right can you let me know, please?

Also Also if I am right can I please have Brainliest??

You don't need to, I'm just glad I could help. ^^

Step-by-step explanation:

\( \sf{\dfrac{5( \fbox{41} - 32)}{9} = C}\)

\( \sf{\dfrac{5( \fbox{9})}{9} = C}\)

\( \sf{ \dfrac{45}{9} = C}\)

\( \sf{C = 5 }\)

So,

41° F = [5]°C

With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.

Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Venn diagrams are useful for showing how two concepts are related and different visually.

When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.

Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.

So, we need to find:

A ∪ B

Now, calculate as follows:

The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:

8 + 7 + 14 + 6 + 1 + 8 = 44

n(A∪B) = 44

Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

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Answer:

\(\textsf{1.(a)} \quad x^2-14x+\boxed{49}=\left(x-\boxed{7}\right)^2\)

\(\textsf{1.(b)} \quad 9x^2 + 30x +\boxed{25}= \left(3x +\boxed{5}\right)^2\)

\(\begin{aligned}\textsf{2.(a)}\quad3x^2-24x+48&=3\left(x^2-\boxed{8}\:x+\boxed{16}\right)\\&=3\left(x-\boxed{4}\right)^2\end{aligned}\)

\(\begin{aligned}\textsf{2.(b)}\quad \dfrac{1}{2}x^2+8x+32&=\dfrac{1}{2}\left(x^2+\boxed{16}\:x+\boxed{64}\right)\\&=\dfrac{1}{2}\left(x+\boxed{8}\right)^2\end{aligned}\)

Step-by-step explanation:

(a) When completing the square for a quadratic equation in the form ax² + bx + c where the leading coefficient is one, we need to add the square of half the coefficient of the x-term:

\(x^2-14x+\left(\dfrac{-14}{2}\right)^2\)

\(x^2-14x+\left(-7\right)^2\)

\(x^2-14x+49\)

We have now created a perfect square trinomial in the form a² - 2ab + b². To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 -2ab + b^2 = (a -b)^2}\)

Therefore:

\(a^2=x^2 \implies a=1\)

\(b^2=49=7^2\implies b = 7\)

Therefore, the perfect square trinomial rewritten as a binomial squared is:

\(x^2-14x+\boxed{49}=\left(x-\boxed{7}\right)^2\)

(b) When completing the square for a quadratic equation where the leading coefficient is not one, we need to add the square of the coefficient of the x-term once it is halved and divided by the leading coefficient, and then multiply it by the leading coefficient:

\(9x^2 + 30x +9\left(\dfrac{30}{2 \cdot 9}\right)^2\)

\(9x^2 + 30x +9\left(\dfrac{5}{3}\right)^2\)

\(9x^2 + 30x +9 \cdot \dfrac{25}{9}\)

\(9x^2 + 30x +25\)

We have now created a perfect square trinomial in the form a² + 2ab + b². To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 +2ab + b^2 = (a +b)^2}\)

Therefore:

\(a^2=9x^2 = (3x)^2 \implies a = 3x\)

\(b^2=25 = 5^2 \implies b = 5\)

Therefore, the perfect square trinomial rewritten as a binomial squared is:

\(9x^2 + 30x +\boxed{25}= \left(3x +\boxed{5}\right)^2\)

\(\hrulefill\)

(a) Factor out the leading coefficient 3 from the given expression:

\(3x^2-24x+48=3\left(x^2-\boxed{8}\:x+\boxed{16}\right)\)

We have now created a perfect square trinomial in the form a² - 2ab + b² inside the parentheses. To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 -2ab + b^2 = (a -b)^2}\)

Factor the perfect square trinomial inside the parentheses:

                        \(=3\left(x-\boxed{4}\right)^2\)

(a) Factor out the leading coefficient 1/2 from the given expression:

\(\dfrac{1}{2}x^2+8x+32=\dfrac{1}{2}\left(x^2+\boxed{16}\:x+\boxed{64}\right)\)

We have now created a perfect square trinomial in the form a² + 2ab + b² inside the parentheses. To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2+2ab + b^2 = (a +b)^2}\)

Factor the perfect square trinomial inside the parentheses:

                        \(=\dfrac{1}{2}\left(x+\boxed{8}\right)^2\)

Step-by-step explanation:

Since ABCD is a rectangle

⇒ AB = CD and BC = AD

x + y = 30 …………….. (i)

x – y = 14 ……………. (ii)

(i) + (ii) ⇒ 2x = 44

⇒ x = 22

Plug in x = 22 in (i)

⇒ 22 + y = 30

⇒ y = 8

Answer:

D (1, 7)

Step-by-step explanation:

From equation 2

y = (-4 + y)/3

Plug this value into the first equation which will give an equation involving only y. Solve for y which should give y = 7

Plug this value of y = 7 into 3x -y = -4

=> 3x - 7 = -4

=> 3x = 3

x = 1

So solution is x =1, y = 7 which can be represented as (1, 7)

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

\( z =\frac{1418-1458}{\frac{354}{\sqrt{313}}}= -2.0\)

\( z =\frac{1498-1458}{\frac{354}{\sqrt{313}}}= 2.0\)

And we can find this probability with this difference and using the normal standard distribution or excel and we got:

\( P(-2<z<2) = P(z<2) -P(z<2)= 0.977-0.0228 = 0.9542\)

Step-by-step explanation:

For this case we know the following parameters:

\( \mu = 1458, \sigma = 354\)

We select a sample size of n = 313 and we want to find the following probability:

\( P( 1458- 40 <\bar X < 1458 + 40)= P(1418< \bar X < 1498)\)

And we can use the z score formula given by:

\( z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}\)

And using this formula we have:

\( z =\frac{1418-1458}{\frac{354}{\sqrt{313}}}= -2.0\)

\( z =\frac{1498-1458}{\frac{354}{\sqrt{313}}}= 2.0\)

And we can find this probability with this difference and using the normal standard distribution or excel and we got:

\( P(-2<z<2) = P(z<2) -P(z<2)= 0.977-0.0228 = 0.9542\)

A={2;4;9}

U={1;2;3;4;5;6;7;8;9;10}

Answer:

sorry

Step-by-step explanation:

I really don't know answer

The number of degrees below zero is given by A = 56° F

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the initial temperature be represented as T

Let the number of degrees below zero be A

Now , the value of T is

T = -56° F

From the modulus function , we get

The value of the modulus function is always non-negative.

So , the measure of A = | T |

A = | -56 |

A = 56° F

Hence , the number of degrees below zero is 56° F

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The crime that is often alcohol related is domestic violence. That is option D.

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

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Answer:

17/12

Step-by-step explanation:

7/8 x 2-1/3

7/4-1/3

17/12

Answer:

Solve all the equations.

2+n = 6

n = 4

n + 6 = 12

n = 6

4 × n = 24

n = 6

n × 3 = 2

n = 2/3

The bold equations are the answers.

Hope this helps :)

Step-by-step explanation:

Answer:

all other than the 3rd one

Step-by-step explanation:

Answer:

Step-by-step explanation:

To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.

The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:

x-coordinate of C' = 1111 * 8 = 8888

y-coordinate of C' = 1111 * 8 = 8888

Therefore, the coordinates of point C' are (8888, 8888).

For binary class classification, assumptions are necessary in a way:

Given that

From Boyer Naive classifier,

We evaluate (ai | vj) is given below

(ai | vj) = n(e) + m(p) / n + m

Here,

m = equivalent sample size

n(e) = number of training examples

for which v = vj and a = ai

n(i) = number of training example for which v = vj

P = a prior estimate for P(ai | vj)

Here, we calculate that

P(SUV | yes), P(Red | yes), P(Domestic | yes)

P(SUV | no), P(Red | no), P(Domestic | no)

We evaluating this value like

yes:

RED :                             SUV:                            DOMESTIC:

n = 5                              n = 5                             n = 5

n(c) = 3                          n(c) = 1                           n(c) = 2

P = 0.5                          P = 0.5                           P = 0.5

m = 3                              m = 3                            m = 3

Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.

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