Which of the signs "=", "⇒" and "⇔" should be in the boxes below?
(a) 1/x<0 (?) x<0
(b) x^2 −y^2 (?) (x+y)·(x−y)
(c) x<0 (?) x≤0

Using scalar multiplication, it is found that 5u = <10,20>.

In this problem, the vector is:

u = <2,4>

Since each term is multiplied by 5:

5u = <5 x 2, 5 x 4> = <10,20>.

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Answer:

Step-by-step explanation:

Answer:

68.9

Step-by-step explanation:

When rounding to 1 decimal place look at the 2nd decimal. If it is 5 or larger than you round the 1st decimal up by 1, however if it is 4 or lower you leave it.

A Pearson correlation coefficient of +1.00 between two variables, X and Y, indicates a perfect positive correlation between them. This means that as the values of X increase, so do the values of Y, and vice versa.

In other words, the two variables are perfectly linearly related, and there is no variability in their relationship. A Pearson correlation coefficient of +1.00 is the strongest possible correlation coefficient, and it suggests that there is a direct and strong association between the two variables being measured.

For example, let's say we have data on the height and weight of a group of individuals. If we find a Pearson correlation coefficient of +1.00 between height and weight, it means that as a person's height increases, their weight will also increase perfectly in a linear fashion. This information can be useful in predicting weight based on height, or vice versa, and can help inform decisions related to health and fitness.

Overall, a Pearson correlation coefficient of +1.00 suggests that the two variables being measured have a strong and direct relationship, which can be useful in many different contexts.

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Answer:

x = 7, − 5

Step-by-step explanation:

Answer:

g(-3) + f(-3) = -162

(f - g)(2) = -49

Step-by-step explanation:

f(x) = -4x + 15

g(x) = 7x³

1)

g(-3) + f(-3)

Evaluate g(-3) and f(-3).

g(-3) = 7(-3)³, f(-3) = -4(-3) + 15

7(-3)³ + -4(-3) + 15

Evaluate (-3) to the third power.

7(-27) + -4(-3) + 15

Multiply.

-189 + 12 + 15

Add.

-177 + 15

-162.

2)

(f - g)(2) = f(2) - g(2)

Evaluate f(2) and g(2)

f(2) = -4(2) + 15

f(2) = -8 + 15

f(2) = 7

g(2) = 7(2)³

g(2) = 7(8)

g(2) = 56

Now subtract the result of g(2) from the result of f(2)

(f - g)(2) = 7 - 56

(f - g)(2) = -49.

Answer:

y = 3x + 7.

To graph the line mark off the 2 points and draw a line through them.

Step-by-step explanation:

The slope = (-2-7) / (-3-0)

= -9/-3

= 3.

The value of b is found using the point-slope form of a line:

y - y1 = m(x - x1)

using m = 3, (x1, y1) = (0, 7):

y - 7 = 3(x - 0)

y = 3x + 7.

Answer:

50+48+2=100

and walnut is half

so ans shld be 30

She must put in at least 5 raisins so that the probability of a randomly chosen slice have no raisins is 0.01.

a. If she puts 100 raisins into a batch of dough, the probability that a randomly chosen slice of bread contains no raisins is\((20-1/20)^100\), which is equal to 0.36.

b. If she puts 200 raisins into a batch of dough, the probability that a randomly chosen slice of bread contains 5 raisins is\((200C5)*(20-5/20)^195\), which is equal to 0.0122.

c. To find the number of raisins she must put in so that the probability that a randomly chosen slice will have no raisins is 0.01, we can use the formula \((20-1/20)^x = 0.01\), where x is the number of raisins. Solving for x yields x = 4.76 or 5. Therefore, she must put in at least 5 raisins so that the probability of a randomly chosen slice have no raisins is 0.01.

She must put in at least 5 raisins so that the probability of a randomly chosen slice have no raisins is 0.01.

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Answer:

if you are looking to solve for x the answer is

\( \frac{1}{8}\)

Step-by-step explanation:

first you need to gather all the variables (x) to one side of the equation so take right hand side:

2x + 6x = 4 - 3

remember to watch out for the sign changes. then:

\(8x = 1\)

therefore

\(x = \frac{1}{8}\)

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 6800\\ P=\textit{original amount deposited}\\ r=rate\to 2.7\%\to \frac{2.7}{100}\dotfill &0.027\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &16 \end{cases}\)

\(6800 = P\left(1+\frac{0.027}{4}\right)^{4\cdot 16} \implies 6800=P(1.00675)^{64} \\\\\\ \cfrac{6800}{(1.00675)^{64}}=P\implies 4420\approx P\)

Answer:

x = -9

Step-by-step explanation:

x = -y/4

y = -2(-y/4) + 18

y = y/2 + 18

y/2 = 18

y = 36

x = -36/4

x = -9

Answer:

Area=78m^2

Step-by-step explanation:

4*12=48m^2 <-- The area of a rectangle LxW

12*5=60 60/2=30 <-- The area of a triangle (HxB)/2

30+48=78m^2 Add them together to get the total area

The personal expenditure was less than the amount budgeted by $126.48.

First, you have to sum up the figures that represent the budget for the month. Now, these will be compared to the actual spending this month. When this calculation is done, the total amount budgeted stands at $2169.83, and the total amount spent stands at $2043.35.

Now, we subtract the amount spent from the amount budgeted and the figure we arrive at is  $126.48. This remnant shows that the person who drew the budget was well within his limit.

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Answer:

.5428571 repeating

or 19/35

Answer: 4.00%

Step-by-step explanation:

Before Tax Price: $360.00

Sale Tax: 4.00% or $14.40

After Tax Price: $374.40

Answer:

4% sales tax or 360 times 0.04 is 14.40 as tax.

Step-by-step explanation:

Hope this helps! :)

Answer:

C. Ry-axis(x, y) = (-x, y)

Step-by-step explanation:

Answer: D. Rx-axis (x, y) = (x, -y)

Step-by-step explanation:

A (-3, 5)  --> A' (-3, -5)

B (2, 8)  --> B' (2, -8)

C (-4, -5)   --> C' (-4, 5)

Hope this helped!

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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Therefore, the Inventory account is debited for $5,000, and Cash account is credited for $3,000 and the accounts payable account is credited $2,000.

Transaction: The transaction in the given scenario is the purchase of $5,000 worth of books.Explanation: In accounting, every transaction includes two aspects; debit and credit. In the given scenario, the purchase of books worth $5,000 will have the following debits and credits.Account(s) debited and for how much: The inventory account is debited for $5,000.Account(s) credited and for how much: The cash account is credited for $3,000, and the remaining $2,000 is credited to the accounts payable account. Why: The inventory account is debited as it is an increase in the inventory. The cash account is credited as the payment is made in cash, and the remaining $2,000 is credited to the accounts payable account as it is a liability account. The accounts payable will be settled in the coming month

Therefore, the Inventory account is debited for $5,000, and Cash account is credited for $3,000 and the accounts payable account is credited $2,000.

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Answer:

Part A: 13.5 meters

Part B: 3.25 hours

Step-by-step explanation:

Work shown

Answer:

bro check my explanation

Step-by-step explanation:

the answer is 62cm3.

if I am right.

please give a brainliest

Simplest Form: \(7 : 2\)

How to Simplify a Ratio A : B when A and B are both whole numbers:

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 14 and 4 is 2

Divide both terms by the GCF, 2:

14 ÷ 2 = 7

4 ÷ 2 = 2

The ratio 14 : 4 can be reduced to lowest terms by dividing both terms by the GCF = 2 :

14 : 4 = 7 : 2

Therefore:

14 : 4 = 7 : 2

The angle the firefighter's ladder would make with the ground is approximately 74.5 degrees.

To solve the problem, we can use the trigonometric function tangent (tan). Let x be the distance from the base of the hot tub to the building, which is 100 - 15 = 85 ft. Let θ be the angle the ladder makes with the ground. Then we have:

tan θ = x / 100

tan θ = 85 / 100

θ = tan^-1(0.85)

θ ≈ 74.5 degrees

Therefore, the angle the ladder makes with the ground is approximately 74.5 degrees.

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\(\rule{200}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}\)

      The radius of a circle is 10 m. Find its area to the nearest whole number.

\(\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\)

We're asked to find the area of the circle, which we can find using the following formula:-

\(\bold{Area_{(circle)}=\pi r^2}\)

Where:-

\(\dagger\) Substitute 10 for r and 3.14 for π:-

\(\hookrightarrow\sf{A=3.14\times(10^2)}\)

\(\bigstar\) On simplification,

\(\bold{A=3.14\times100}\)

\(\bigstar\) On further simplification,

\(\bold{A=314}\)

\(\bigstar\) The Area is:-

\(\bold{A=314\:m^2}\)

\(\square\!\!\!\!\!\!\bigstar\) Note:- Area is always measured in units² (units squared)

\(\rule{300}{3}\)

Answer: x=3

Step-by-step explanation: Multiply both sides of the equation by 3 to get 4x+2x=x+15. Combine like terms. (underlined) 6x=x+15. Move variable to left side and change its sign. 6x-x=15. Combine like terms again. 5x=15. Divide both sides of the equation by 5 to get x=3.

Answer:

.05

Step-by-step explanation:

y is increasing by 0.05 as x is increasing by 1.

Answer:

Step-by-step explanation: The length of q to the nearest 10th of a centimeter is 0.2 cm.

Describe Law of Sines?

The Law of Sines is a trigonometric formula used to find the missing sides or angles of a non-right triangle (a triangle that does not have a 90-degree angle). It states that the ratio of the length of a side of a triangle to the sine of the opposite angle is the same for all three sides and angles:

a/sin(A) = b/sin(B) = c/sin(C)

where:

a, b, c are the lengths of the sides of the triangle, and

A, B, C are the measures of the angles opposite to those sides.

This formula is useful when we have some information about the sides or angles of a triangle, but not enough to solve it completely. By using the Law of Sines, we can set up and solve equations to find the missing values.

Using the Law of Sines, we have:

q / sin(2°) = p / sin(149°)

Solving for q:

q = p * sin(2°) / sin(149°)

= 6.3 * sin(2°) / sin(149°)

≈ 0.23 cm

Therefore, the length of q to the nearest 10th of a centimeter is 0.2 cm.

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Answer:

Put all your elctronices far away from you focuse and engage in the story and focus i can t tell you enough

Step-by-step explanation: