Using the chart in problem 1, what is the least place value of 0.24

Answer:

\(y=-\dfrac{8}{x}\)

Step-by-step explanation:

Inverse proportions can be represented by an equation in the form:

\(\boxed{y=\dfrac{k}{x}}\)

where:

To write an expression for the graphed function, first input the given point (-2, 4) into the inverse proportion equation and solve for k:

\(\implies y=\dfrac{k}{x}\)

\(\implies 4=\dfrac{k}{-2}\)

\(\implies 4 \cdot (-2)=\dfrac{k}{-2}\cdot (-2)\)

\(\implies -8=k\)

\(\implies k=-8\)

Therefore, the expression for the graphed function is:

\(\boxed{y=-\dfrac{8}{x}}\)

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

Learn more about domains at:

https://brainly.com/question/1770447

#SPJ1

Answer:

x divided by 4

Step-by-step explanation:

4 bags

O O

O O

strawberries would go in each

so lets say like 24 strawberries

24 (x) / 4 = 6

so six strawberries a bag

hope this helps like put a picture in your head

Answer:

A) prove that QR = QR by reflexive property of congruence

Answer:

The length of the missing side is 12.

Step-by-step explanation:

When you solve this, you do 5^2 + b^2 = 13^2

and solve for b. 25 + b^2 = 169

169 - 25 = 144

\(\sqrt{144\) = 12

When you check your work, 5^2 + 12^2 = 13^2

25 + 144 = 169

If you have the right triangle, then you can label the longer side with 13, and label the leg 5. the you solve for the other leg. That's how Pythagorean Theorem is used in this context.

I hope this helped. I'm not the best at explaining math.

Answer:

180

Step-by-step explanation:

I'll just manually compute this one. Every attempt she will add 2 more jumps.

Attempt Jumps Accumulated Jumps

1 6 6

2 8 14

3 10 24

4 12 36

5 14 50

6 16 66

7 18 84

8 20 104

9 22 126

10 24 150

11 26 176

12 28 204

Total jumps from 4th trip through 12th trip: 204 - 24 = 180 jumps

Answer:

95. 45%

Step-by-step explanation:

Given :

Mean score, = 64

Standard deviation = 2

Score between 60 and 68

P(Z < (x - mean) / standard deviation)

P(Z < (60 - 64) / 2) = P(Z < - 2) = 0.02275 (Z probability calculator)

P(Z < (68 - 64) / 2) = P(Z < 2) = 0.97725 (Z probability calculator)

P( score between 60 and 68)

P(Z < 2) - P(Z < - 2)

0.97725 - 0.02275 = 0.9545

Score between 60 and 68 = 0.9545 = 0.9545 * 100% = 95.45%

Answer:

Alternative Interior Angles: ∠d and ∠e

Step-by-step explanation:

Answer:

20 degrees

Step-by-step explanation:

complementary angles sum up to 90 degrees

Answer:

\(20 \: \: degrees\)

Step-by-step explanation:

complementary angles mean either of two angles whose sum is 90°.

\(x + 70 = 90 \\ x = 90 - 70 \\ x = 20 \: \: degrees\)

The amount you will have in 5 years with an initial deposit of $2,500 in an account that pays .51 percent interest compounded quarterly is $2,767.74.

To calculate the interest earned for the next 5 years at a quarterly compounding rate of .51 percent, we use the formula given below;A = P(1 + r/n)^(nt)

where, A is the amount,P is the principal, r is the interest rate in decimal, n is the number of times compounded per year and t is the number of years we will invest in.

Using the formula, we can get the answer. Therefore, the amount you will have in 5 years with an initial deposit of $2,500 in an account that pays .51 percent interest compounded quarterly is $2,767.74.

Learn more about investment at

https://brainly.com/question/27949667

#SPJ11

Step-by-step explanation:

Factor 3n³−12n²−30n

3n³−12n²−30n

=3n(n²−4n−10)

Answer:

\(y=-\frac{1}{4}x+40\)

Step-by-step explanation:

Given

See attachment for graph

Required

Determine the equation of the line of best fit

First, calculate the slope (m)

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

From the graph, we can have:

\((x_1,y_1) = (20,35)\)

\((x_2,y_2) = (60,25)\)

So, the slope is:

\(m = \frac{25 -35}{60 - 20}\)

\(m = \frac{-10}{40}\)

\(m = -\frac{1}{4}\)

The equation is then calculated as:

\(y = m(x - x_1) + y_1\)

\(y = -\frac{1}{4}(x - 20) + 35\)

\(y = -\frac{1}{4}x + 5 + 35\)

\(y=-\frac{1}{4}x+40\)

Hence, the equation is: \(y=-\frac{1}{4}x+40\)

To find the point on the plane nearest to the origin, we need to minimize the distance between the origin and any point on the plane. We can use the formula for the distance between a point and a plane. The point on the plane nearest to the origin is (2, 12, 2).

distance = |ax + by + cz + d| / sqrt(a^2 + b^2 + c^2)

where (x, y, z) is any point on the plane, and a, b, c, and d are the coefficients of the plane equation.

In our case, the plane equation is 4x - y + 4z = 40, so a = 4, b = -1, c = 4, and d = -40. The distance between the origin and any point on the plane is:

distance = |4x - y + 4z - 40| / sqrt(4^2 + (-1)^2 + 4^2)

We want to minimize this distance, so we need to find the point on the plane that makes the distance as small as possible. To do this, we can use Lagrange multipliers:

Let f(x, y, z) = (x^2 + y^2 + z^2) be the function we want to minimize subject to the constraint 4x - y + 4z = 40. We can write this as:

grad(f) = λ grad(g)

where grad(f) = <2x, 2y, 2z> and grad(g) = <4, -1, 4>. Solving for x, y, z, and λ, we get:

x = 2, y = 12, z = 2, λ = 8 / sqrt(33)

Therefore, the point on the plane nearest to the origin is (2, 12, 2).

To find the point on the plane 4x - y + 4z = 40 nearest to the origin, we can use the formula for the distance between a point and a plane: D = |Ax + By + Cz + D| / √(A² + B² + C²).

In this case, A = 4, B = -1, C = 4, and D = -40. Let's plug in the origin (0, 0, 0) for (x, y, z):

D = |(4*0) - (1*0) + (4*0) - 40| / √(4² + (-1)² + 4²)
D = |-40| / √(16 + 1 + 16)
D = 40 / √33

Now, we use the normal vector (4, -1, 4) and multiply it by the distance D to find the nearest point (x, y, z):

x = (4 * 40) / √33
y = (-1 * 40) / √33
z = (4 * 40) / √33

The nearest point (x, y, z) on the plane 4x - y + 4z = 40 to the origin is approximately (4.94, -1.24, 4.94).

Learn more about Lagrange multipliers at: brainly.com/question/31827103

#SPJ11

Answer:

point form is (2,-1), equation form is x= 2, y=-1

Step-by-step explanation:

The solution to the given compound inequality in interval notation is (−∞, −9] or (2, ∞).

To find the solution to the compound inequality, we need to analyze the two separate inequalities and combine their solutions.

Inequality 1: 2(2x - 1) > 6

First, let's simplify the inequality:

4x - 2 > 6

Adding 2 to both sides, we have:

4x > 8

Now, dividing both sides by 4, we get:

x > 2

Inequality 2: x + 3 ≤ -6

Let's isolate the variable:

x ≤ -6 - 3

Simplifying further:

x ≤ -9

To determine the combined solution, we consider the intersection of the solution sets of both inequalities:

The solution to the compound inequality is x > 2 or x ≤ -9.

In interval notation, this can be expressed as:

(2, ∞) U (-∞, -9]

Therefore, the solution to the compound inequality in interval notation is (2, ∞) U (-∞, -9].

Learn more about compound inequality here https://brainly.com/question/31624335

#SPJ11

Answer:

40ft

Step-by-step explanation:

To calculate a square area you need to multiply two sides by each other. The area is 100 cubed feet. If you do the process backwards, You should get a square with 10ft sides. 10*4 = 40

:) hope this helps

The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.

Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.

Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.

To know more about positive changes visit:-

https://brainly.com/question/15411632

#SPJ11

Answer:

Step-by-step explanation:

Given that 1cm=500000cm

Then using unitary law, we get

Actual distance=2.5cm=2.5×500000=12,50,000cm

Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

The correct answer is "decrease by 20 units."Because if the price is increased by 2 units, the demand for the product is expected to decrease by 20 units.

Based on the estimated regression equation Cap Y = 120 - 10X, we can determine the effect of a 2-unit increase in price (X) on the demand for the product (Y).

The coefficient of X in the regression equation (-10) represents the change in demand for the product for each unit change in price. In this case, since the price is increased by 2 units, the change in demand can be calculated by multiplying the coefficient (-10) by the price change (2).

Change in demand = Coefficient of X × Change in price

Change in demand = -10 × 2

Change in demand = -20

Therefore, if the price is increased by 2 units, the demand for the product is expected to decrease by 20 units.

Hence, the correct answer is "decrease by 20 units."

Learn more about Equation.

brainly.com/question/29538993

#SPJ11

34015988, this is the solution:

Let's recall that two numbers are additive inverses if they add to give a sum of zero. In consequence,

7/6 - 7/6 = 0

The additive inverse is -7/6

Let \(n=0\). Then \(0^3 = 0\) but 0 > 0 is a false statement.

Step-by-step explanation:

The given quadratic equation is in standard form.

The singular matrix that differs from a by the smallest possible amount is [σ1   σ2]

The term called matrix is defined as a set of numbers arranged in rows and columns so as to form a rectangular array.

Here we have know that suppose a is a 2 x 2 nonsingular matrix with singular values σ1 > σ2 > 0.

Here we have also know that In particular if some row or column has all its entries equal to zero and then its determinant is zero.

In those cases here we have the whole matrix is called singular.

As we all know that if X is a non-singular matrix which means that if none of its entries are zero then the determinant of X will not be zero.

So, the singular form of the matrix is written as,

=> [σ1   σ2]

To know more about Matrix here.

https://brainly.com/question/28180105

#SPJ4

Answer:

5.6% to nearest tenth.

Step-by-step explanation:

Amount after 17 years

= 23300 = 9000(1 + r/365)^(17*365)  where r  = interest rate as a fraction.

(1 + r/365)^(17*365) = 23300/9000 = 2.588889

Taking logs of both sides:

17*365 log (1 + r/365) =  log 2.588889

log(1 + r/365) = log 2.588889 / (365*17)

log(1 + r/365) = 0.0000665775

Removing the logs  (by taking each side to the base 10) :

1 + r/365 = 1.000153312

r/365 = 0.000153312

r = 0.05596

As a percent this is 5.596%

Answer:

5.00

Step-by-step explanation:

5.00

The sum in summation notation of the expression (a) 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is ΣX from 1 to 4. In other words, it represents the summation of X over the range 1 to 4.

In summation notation, the expression (a) 1 + 2 + 3 + 4 + X5 can be written as ΣX, where X takes the values from 1 to 4. The capital sigma (Σ) represents the summation operator, and the variable X is summed over the range 1 to 4. This means that we need to substitute X with each value from 1 to 4 and add them together.

When we evaluate the expression, we have:

ΣX = 1 + 2 + 3 + 4 = 10

However, the expression also includes X5, indicating that X takes the value 5 as well. Therefore, we add 5 to the sum:

ΣX = 10 + 5 = 15

So, the sum of 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is equal to 15.

Moving on to expression (b) y2 + y3 + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, we can express it in summation notation as ΣY from 1 to 3. This represents the summation of Y over the range 1 to 3.

Since Y has a different value for each term, we simply substitute Y with each value from 1 to 3 and add them together:

ΣY = y₁ + y₂ + y₃ = -1 + (-0.5) + 0 = -1.5

Hence, the sum of y₂ + y₃ + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, is equal to -1.5.

Learn more about summation notation here:

https://brainly.com/question/11764646

#SPJ11

Answer:

It is D

Step-by-step explanation:

Within each coordinate it represents (x,y)

The x moves along the horizontal line and the Y moves along the vertical line.

For example: For (-5,5) move to the left 5 times, then move up 5 times.

A negative X goes to the left and a negative Y goes down.

A positive X moves to the right and a positive Y moves up.

Answer:

x=25

Step-by-step explanation:

Set 2x-8 and x+17 equal and/or congruent to one another. Solve for x.

Subtract x over to form x-8=17

Add 8 to both sides

Should get the answer above. :)