у
4
3
2
1
1
-4 -3 -2 -1
1
1
2 3 4
-1
-2 -3
-4
What is the slope of the line?

Answer:It would be 30!

Step-by-step explanation:

You need to line them all up in order and then see the one that sticks out from all of the others. All the other numbers are in the 40s and 50s and this one is 30.

Answer:

Since I don't know the accuracy of the diagram i would advise you to measure using a divider or a ruler.

The probability computed is <0.8967,0.1033> which roughly shows that, as 90 days pass by, the probability that it will rain on a given day will be increasing monotonically towards a fixed point.    

The chance that an event will occur ranges between 0 and 1. Where 0 shows that the event is impossible to occur and 1 shows that the event is bound to occur. If the chance of occurring an event is more than the chance of its not occurring then, it is more likely that the event will occur.

If we take the example of tossing a coin, we can say that the probability that a head will occur or a tail will occur will remain the same, i.e., 50%. The occurrence of heads or tails is equally likely.

These mathematical standards are used in varied fields of gambling, technology, finance, architecture, philosophy, science, etc.

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Answer:

500 miles

Step-by-step explanation:

81-11 is 70. 70 divided by .14 is 500 so that's 500 miles she can bike.

Answer:

500 miles

Step-by-step explanation:

To find out how many miles Candice can hike at max, use the equation 11 + 0.14x = 81.

11 + 0.14x = 81

Subtract 11 from both sides. This undoes the +11.

0.14x = 81 - 11

Subtract 11 from 81 to get 70.

0.14x = 70

Divide both sides by 0.14. This undoes the multiplication by 0.14.

x = 70/0.14

I recommend converting 0.14 into a fraction. That would be 7/50.

x = 70/(7/50)

Find the reciprocal of 7/50 (50/7). Switch the sign from division to multiplication.

x = (70 * 50)/7

Multiply 70 by 50 to get 3500.

x = 3500/7

Divide 3500 by 7 to get 500.

x = 500

At max, Candice can hike 500 miles.

Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

I got ECHA... hope it's right:)

Answer:

x = -7º

x+59 = 52º

x+51 = 44º

Step-by-step explanation:

84 + (x+59) + (x+51) = 180º

180 - 84 = 96

x+59 + x+51 = 96

2x + 110 = 96

2x = -14

x = -7

proof:

-7+59 = 52º

-7+51 = 44º

the sum of angles in a triangle must be 180º so:

84 + 52 + 44 = 180

Answer:

Step-by-step explanation:

84 + x + 59 + x + 51 = 180

2x = 180 - 84 - 59 - 51

x = -14/2

x = -7

∠A = x + 51

∠A = -7 + 51

∠A = 44°

The given statement the purpose of process control to detect assignable causes of variation is true because helps improve efficiency, productivity, and customer satisfaction by managing and correcting such causes.

The purpose of a process control is to detect when assignable causes of variation are present. This is done through the use of control charts, which are used to monitor the process and identify any deviations from the expected process behavior.

When an assignable cause of variation is detected, it can be addressed and corrected, helping to ensure that the process remains stable and produces consistent, high-quality products or services.

By detecting and addressing assignable causes of variation, process control helps to prevent problems before they occur, leading to improved efficiency, productivity, and customer satisfaction.

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Answer:

v= 904.78

Step-by-step explanation:

Answer:

904.77868423386 feet^3

Step-by-step explanation:

Step one the formula is 4/3 Pie R ^3

Step two you do 4/3 x PI x 6^3

Step three do exponents first so 6x6x6=216

Step four multiply 4/3 x 3.14 which equals 4.187

Step four finally you are going to multiply 216 by 4.187 to get   904.77868423386 feet^3

The statements that are true about the quadratic function and its graph include the following:

In Mathematics, the graph of any quadratic function or equation always forms a parabola because it is a u-shaped curve. For the given quadratic function, the graph is a upward parabola because the coefficient of x² is positive i.e when the value of "a" is greater than zero.

Next, we would determine the statements about the quadratic function and its graph that are true:

At point (-10, 82), we have:

f(x) = 1/5 x² – 5x + 12

f(x) = x²/5 – 5x + 12

f(-10) = -10²/5 – 5(-10) + 12

f(-10) = 82

At point (20, -8), we have:

f(x) = 1/5 x² – 5x + 12

f(x) = x²/5 – 5x + 12

f(20) = 20²/5 – 5(20) + 12

f(20) = -8

In conclusion, the graph of this quadratic function does not contain the point (0, 0) as shown in the image attached below.

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Complete Question:

Consider the quadratic function f(x) = 1/5 x² – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

Answer:

a = 7.5

Step-by-step explanation:

7*3(2a-1) over 7 = 6.7

(2a-1) = 42/3

2a-1=14

2a=13

a=7.5

I hope this helps you out!

Answer:

put 6 over 1 then look for the LCM of 7 and 1 the LCM is 7 then ask yourself how times does seven go into 7 one time right so multiply 1 by 3(2a - 1) then ask yourself how many times does 1 go into 7 it goes 7 times right multiply 7 by 6 so your equation is like this 3(2a - 1) = 42 open the bracket so it will be 6a - 3 = 42 collect the like terms so 3a = 42+3, 3a =45 , divide both sides by 3 so x =15

Answer:

12,500,000 (twelve million five hundred thousand) is an even eight-digits composite number following 12499999 and preceding 12500001. In scientific notation, it is written as 1.25 × 107.

Step-by-step explanation:

Answer:

-96

192

-384

Step-by-step explanation:

Multiply by negative 2

Answer:

12

Step-by-step explanation:

Answer:

(2,14)

Step-by-step explanation:

so i solved this with substitution but there are other methods to solve this!

equation 1 : y = -x + 16
equation 2 : y = x + 12

solve for y in equation 1 !!
y = -x + 16
(add x on both sides)
y + x = 16
(subtract y on both sides)
x = -y + 16

equation 1 now equals : x = -y + 16

substitute equation 1 into equation 2 :)

y = (-y + 16) + 12
(add 16 + 12)
y = -y + 28
(add y on both sides)

2y = 28
(divide 2 on both sides)
y = 14

now to solve for x you can insert y !
you can use equation 1 or equation 2 to solve for x.

i'm using equation 2 :
y = x + 12
(14) = x + 12
(subtract 12 on both sides)
x = 2

therefore, the answer is (2, 14).

hope this helps :p

The critical value of t for constructing a 99% confidence interval with a sample size of 30 and a sample standard deviation of 0.05 is 2.7564.

A confidence interval is a range of values within which the population parameter is estimated to lie with a certain level of confidence. In this case, we are constructing a 99% confidence interval for the population mean. The critical value of t is used to determine the width of the confidence interval.

The formula for calculating the confidence interval for the population mean is:

Confidence interval = sample mean ± (critical value) * (standard deviation of the sample / square root of the sample size)

Given that the sample size is 30 (n = 30) and the standard deviation of the sample is 0.05 (S = 0.05), we need to find the critical value of t for a 99% confidence level. The critical value of t depends on the desired confidence level and the degrees of freedom, which is equal to n - 1 in this case (30 - 1 = 29). Looking up the critical value in a t-table or using statistical software, we find that the critical value of t for a 99% confidence level with 29 degrees of freedom is approximately 2.7564.

Therefore, the 99% confidence interval for the population mean would be calculated as follows: sample mean ± (2.7564) * (0.05 / √30). The final result would be a range of values within which we can be 99% confident that the true population mean lies.

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the given triangles are not similar

so they will not be congruent

so the answer is not similar

Answer:

x = -36

Step-by-step explanation:

Distribute 1/2 to x - 12 first to get 1/2x - 6.  Combine -6 and 4 together to get -2.  Your equation should now be 1/3x - 8 = 1/2x - 2.  Subtract 1/3x on both sides to get 1/6x.  Add 2 on both sides to get -6.  Since you are dividing a fraction number, you want to do the opposite and instead multiply 6 on both sides to get your x value which is -36.

Answer:

x = -36.

Step-by-step explanation:

1/3x - 8 = 1/2(x - 12) + 4

multiplying through by the LCM 6;

6 × 1/3x - 6 × 8 = 6 × 1/2(x - 12) + 6 × 4

2x - 48 = 3(x - 12) + 24

2x - 48 = 3x - 36 + 24

2x - 48 = 3x - 12

-48 + 12 = 3x - 2x

-36 = x

hence x = -36.

Answer: 5

Step-by-step explanation:

We know that the two digits of the year are 18. So, we need to find the number of pairs (M, D) such that \(M\cdot D=18\).

Listing out the pairs, we get \((M, D)=\{(1, 18), (2, 9), (3, 6), (6, 3), (9, 2), (18, 1)\}\).

However, the month cannot be more than 12, so we exclude the pair \((18, 1)\).

Therefore, there are 5 pairs.

Answer:

The angle that is not coterminal with the other three coterminal angles is 110°.

Step-by-step explanation:

Coterminal angles are angles that have the same initial side and terminal side but can differ by a multiple of 360°.

-610°, 370°, and -250° are all coterminal with each other because:

However, 110° is not coterminal with the other three angles because it falls outside of the range of -360° to 360°.

Step-by-step explanation:

so, this is a multiplication ?

6 3/4 × (-11.5)

let's bring the mixed numbers to full fractions, and then we can easily multiply.

6 3/4 = (6×4 + 3)/4 = (24 + 3)/4 = 27/4

-11.5 = -11 1/2 = (-11×2 - 1)/2 = (-22 - 1)/2 = -23/2

so, the multiplication is

27/4 × -23/2 = 27×-23 / 4×2 = -621/8 =

= (-616 - 5)/8 = (-77×8 - 5)/8 = -77 5/8

Answer:

-77 5/8

Step-by-step explanation:

6 3/4 can be turned into 6.75.

6.75 * -11.5 is -77.625

-77.625 can be simplified into 5/8

Brainliest pls?

By applying the concept of central and extreme scores, it can be concluded that a score of x = 85 would be considered a central score in population 1, and an extreme score in populations 2 dan 3.

A central score is a score that is near the middle of the distribution, while an extreme score is a score that is far out in the tail of the distribution.

In order to determine whether a score of x = 85 is a central score or an extreme score for each of the following populations, we need to look at the distribution of scores in each population.

Overall, whether a score of x = 85 is considered a central score or an extreme score depends on the distribution of scores in the population. If the scores are evenly distributed and x = 85 is near the middle of the distribution, it would be considered a central score. However, if the scores are clustered around a different value and x = 85 is far out in the tail of the distribution, it would be considered an extreme score.

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The answer of the provided question is  the addition property of equality and then the division property of equality

Regardless of the sequence in which the numbers are added, the total of any two or more numbers is always the same. This characteristic may be expressed in the formula A + B = B + A. For instance, 2 + 4 Equals 4 + 2 = 6. As a result, both sets add up to 6, therefore 2 + 4 = 4 + 2.

We have multiplied both sides of the equation by 5 to move from Step 1 to Step 2:

\(-3x -5 +5 = 13 +5\\ -3x = 18\)

We have divided both sides of the equation by -3 to go from Step 2 to Step 3:

\(-3x/-3 = 18/-3\\ x = -6\)

These procedures can be categorized as...

first the equality's addition property, then its division property

However, since multiplication and division are the same thing, but with reciprocal numbers, and since addition and subtraction are the same thing, but with opposite numbers, any of the above answers may theoretically be right.

(adjust 5, divide by -3) = (adjust 5, multiply by -1/3)

(subtract 5 and divide by 3) equals (subtract 5 and multiply by 1/3).

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Answer:

domain is all real numbers

Step-by-step explanation:

the line tends to + ∞ and - ∞

then the domain is all real numbers

Answer:

x intercept= (1.5,0)

y intercept= (0,-2)d

Step-by-step explanation:

Rearrange the equation to be in the form y=mx+c:

4x-1=3y+5

y=(4x-6)/3

y=4/3(x)-2

y intercept= c from equation above =-2

y intercept=-2

x intercept => when y=0

sub 0=y

0=4/3(x)-2

2=4/3(x)

x=1.5

x=-13

x=2

Answer:

Solution given:

5-2x=\(\sqrt{2x²+x-1}-x\)

keep square root alone

5-2x+x=\(\sqrt{2x²+x-1}\)

5-x=\(\sqrt{2x²+x-1}\)

squaring both side

(5-x)²=2x²+x-1

25-10x+x²=2x²+x-1

2x²+x-1-25+10x-x²=0

x²+11x-26=0

doing middle term factorisation

for this

coefficient of first and last terms should be multiplied

here

1*26=26

factor product

26=2*13*1

remember that check the sigh of last term

in here it is - so

we need to get 11 by subtracting factor of 26

we get

13-2=11

keep 13-2 value in place of 11

x²+(13-2)x-26

now

distribute

x²+13x-2x-26=0

take common from each two term

x(x+13)-2(x+13)=0

(x+13)(x-2)=0

either

x=-13

or.x=2

Answer:

A and B

Step-by-step explanation:

we would like to solve the following equation:

\( \rm\displaystyle 5 - 2x = \sqrt{ {2x}^{2} + x - 1 } - x\)

to do so isolate -x to the left hand side and change its sign:

\( \rm\displaystyle 5 - 2x + x = \sqrt{ {2x}^{2} + x - 1 } \)

simplify addition:

\( \rm\displaystyle 5 - x = \sqrt{ {2x}^{2} + x - 1 } \)

square both sides:

\( \rm\displaystyle (5 - x {)}^{2} = (\sqrt{ {2x}^{2} + x - 1 } {)}^{2} \)

simplify square of the right hand side:

\( \rm\displaystyle (5 - x {)}^{2} = {2x}^{2} + x - 1 \)

use (a-b)²=a²-2ab+b² to expand the left hand side:

\( \rm\displaystyle {x}^{2} - 10x + 25= {2x}^{2} + x - 1 \)

swap the equation:

\( \rm\displaystyle {2x}^{2} + x - 1 = {x}^{2} - 10x + 25\)

isolate the right hand side expression to the left hand side and change every sign:

\( \rm\displaystyle {2x}^{2} + x - 1 - {x}^{2} + 10x - 25 = 0\)

simplify:

\( \rm\displaystyle {x}^{2} + 11x - 26= 0\)

rewrite the middle term as 13x-2x:

\( \rm\displaystyle {x}^{2} + 13x - 2x - 26= 0\)

factor out x:

\( \rm\displaystyle x({x}^{} + 13)- 2x - 26= 0\)

factor out -2:

\( \rm\displaystyle x({x}^{} + 13)- 2(x + 13)= 0\)

group:

\( \rm\displaystyle (x- 2)(x + 13)= 0\)

by Zero product property we obtain:

\( \displaystyle \begin{cases}x- 2 = 0\\ x + 13= 0 \end{cases}\)

solve for x:

\( \displaystyle \begin{cases}x = 2\\ x = - 13 \end{cases}\)

to check for extraneous solutions we can define the domain of equation recall that a square root of a function is always greater than or equal to 0 therefore

\( \rm\displaystyle 5 - x \geq0\)

solve the inequality for x:

\( \rm\displaystyle x \leqslant 5\)

since 2 and -13 is less than 5 both solutions are valid for x hence,

\( \displaystyle \begin{cases}x _{1} = 2\\ x_{2} = - 13 \end{cases}\)

and we're done!

The equation representing the area of the burn, `a`, after `t` weeks is \(`a = a_0 e^{-kt}`\), where `a_0` is the initial area and `k` is the rate of decay. After 7 weeks, the area of the burn is\(`a_0 e^{-7k}`\).

To calculate the fraction of the burn area remaining each week, we must first write an equation representing the area of the burn, `a`, after `t` weeks. This equation is given by \(`a = a_0 e^{-kt}`\), where `a_0` is the initial area and `k` is the rate of decay.

To calculate the area of the burn after 7 weeks, we plug `t = 7` into the equation, giving us \(`a = a_0 e^{-7k}`\). To calculate `k`, we can use the initial area and the area after 1 week. We plug these values into the equation, giving us \(`a_0 = a_1 e^{-k}`\). We then solve for `k`, giving us `k = ln(a_1/a_0)`.

Finally, we plug `k` and `t = 7` into the equation, giving us `\(a = a_0 e^{-7ln(a_1/a_0)}`.\) This is the area of the burn after 7 weeks.

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Investment X earns the greater amount of interest over a period of 2 years.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = PRT

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

Let's consider that Ian invests in X, then:

Principle amount, P = $6,000
Time, T = 2 Years

Rate of Interest, R = 4.5% at simple Interest = 0.045

The interest earned is:

Interest = PRT = $6,000 × 0.045 × 2 = $540

Now, consider that Ian invests in Y, then:

Principle amount, P = $6,000
Time, n = 2 Years

Rate of Interest, R = 4% at Compound Interest = 0.04

The interest earned is:

Interest = P(1+R)ⁿ - P

            = $6,000(1+0.04)² - $6,000

            = $489.6

Since $540>$489.6, therefore, Investment X earns the greater amount of interest over a period of 2 years.

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Answer:

Based on a standard work week of 40 hours, a full-time employee works 2,080 hours per year (40 hours a week x 52 weeks a year). So if an employee earns $40,000 annually working 40 hours a week, they make about $19.23

1. The verbal expression "The sum of a number and 7" can be translated into an algebraic expression by using the variable x to represent the unknown number. Adding 7 to that number would be written as x + 7.

2. The verbal expression "The product of a number and 12" can be represented in multiple ways in algebraic expressions. You can use the variable x to represent the unknown number and multiply it by 12. This can be written as 12x, x * 12, x(12), or 12 times x. All of these expressions convey the idea of multiplying the number by 12.

3. The verbal expression "What is the difference of a number and 417" can be translated into an algebraic expression by using the variable x to represent the unknown number and subtracting 417 from it. This can be written as x - 417, where x represents the number.

4. When you multiply a negative number and a positive number, the answer will always be negative. This is because the product of a negative and a positive value results in a number with a negative sign. The negative sign indicates that the resulting value is less than zero.

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