Can someone please help me it’s due today I appreciate the help !

Answer:

y = 1/4x -10

Step-by-step explanation:

The equation would be y = 1/4x -10

we know that we have to set the equation up as y=mx+b

m being slope and b being y-intercept

we can see on the graph that the line intercepts the y-axis at -10, so that would be b

for slope, you can just look and count rise over run so:

it goes 10 up and 40 over which equals 10/40 also known as 1/4

hope that helped :)

Answer: 25 in.

Step-by-step explanation:

A = bh

A = 5 x 5

A = 25

UGHHHHHHHHHHHHHHHHHHHH

Answer:

x=1 and y=−5

Step-by-step explanation:

Problem:

Solve y=−5x;y=x−6

Steps:

I will solve your system by substitution.

y=−5x;y=x−6

Step: Solve y=−5x for y:

Step: Substitute −5x for y in y=x−6:

y=x−6

−5x=x−6

−5x+−x=x−6+−x (Add -x to both sides)

−6x=−6

−6x/−6=−6/−6 (Divide both sides by -6)

x = 1

Step: Substitute 1 for x in y=−5x:

y=−5x

y=(−5)(1)

y=−5(Simplify both sides of the equation)

Answer:

x=1 and y=−5

Thank you,

Eddie

Answer:

seventh tenths as a decimal are 0.7

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Theorem 4.3.9 can be proved using either the 0 characterisation of continuity or the sequential characterisation of continuity. Both characterisations are important and useful in different situations.

Theorem 4.3.9: Suppose f: X → Y. TFAE:(i) f is continuous on X(ii) For every open subset V of Y, the inverse image f^-1 (V) is open in X(iii) For every convergent sequence x_n→x, we have f(x_n)→f(x).

A proof for Theorem 4.3.9 using the 0 characterisation of continuity is given below:

Suppose f: X → Y is continuous on X. Let V be open in Y. Let a∈f^-1 (V). Then f(a)∈V, so there exists an ɛ > 0 such that B(f(a), ɛ) ⊆ V.

Since f is continuous at a, there exists a δ > 0 such that x ∈ X and d(x, a) < δ implies d(f(x), f(a)) < ɛ. That is, f(B(a, δ)) ⊆ B(f(a), ɛ) ⊆ V.

This implies B(a, δ) ⊆ f^-1 (V). Thus f^-1 (V) is open in X.For the other direction, suppose for every open subset V of Y, the inverse image f^-1 (V) is open in X. Let a ∈ X. Let ɛ > 0. Set V = B(f(a), ɛ). Then V is open in Y, so f^-1 (V) is open in X.

Since a ∈ f^-1 (V), there exists a δ > 0 such that B(a, δ) ⊆ f^-1 (V). Then f(B(a, δ)) ⊆ V. That is, d(f(x), f(a)) < ɛ whenever d(x, a) < δ. Thus f is continuous at a.This gives us a proof of Theorem 4.3.9 using the 0 characterisation of continuity.

A proof for Theorem 4.3.9 using the sequential characterisation of continuity is given below:Suppose f: X → Y. Suppose (x_n) is a sequence in X converging to x. Then (x_n) is a net in X. By Theorem 4.3.2(iii), if f is continuous at x, then f(x_n) converges to f(x).Now suppose that for every convergent sequence (x_n) in X that converges to x, we have f(x_n) converges to f(x).

Let V be open in Y. Let a∈f^-1 (V). Suppose that f is not continuous at a. Then there exists an ɛ > 0 such that for every δ > 0, there exists an x ∈ B(a, δ) such that d(f(x), f(a)) ≥ ɛ. Let δ_n = 1/n. Then for each n, there exists x_n ∈ B(a, δ_n) such that d(f(x_n), f(a)) ≥ ɛ. Then (x_n) converges to a, but (f(x_n)) does not converge to f(a). This contradicts our assumption.

Thus f is continuous at a.Hence we have a proof for Theorem 4.3.9 using the sequential characterisation of continuity.

We first showed the proof of Theorem 4.3.9 using the 0 characterisation of continuity.

We then showed the proof of Theorem 4.3.9 using the sequential characterisation of continuity.We used the 0 characterisation of continuity to show that f is continuous on X if and only if for every open subset V of Y, the inverse image f^-1 (V) is open in X. This result follows from the definitions of continuity and openness.

We used this characterisation to prove Theorem 4.3.9. We showed that f is continuous on X if and only if for every convergent sequence x_n→x, we have f(x_n)→f(x).

This characterisation is important because it allows us to prove continuity of a function using the open sets of the codomain. We do not need to use sequences or nets to prove continuity.

This is useful in some cases where we cannot use sequences or nets, for example, in metric spaces that are not first-countable.We then used the sequential characterisation of continuity to show that f is continuous on X if and only if for every convergent sequence x_n→x, we have f(x_n)→f(x).

This characterisation follows from the definition of continuity and the sequential characterisation of convergence. We used this characterisation to prove Theorem 4.3.9. We showed that f is continuous on X if and only if for every open subset V of Y, the inverse image f^-1 (V) is open in X.

This characterisation is important because it allows us to prove continuity of a function using sequences.

This is useful in many cases, for example, in metric spaces that are first-countable. It also allows us to prove that some spaces are not first-countable by finding a function that is not continuous using sequences.

Therefore, Theorem 4.3.9 can be proved using either the 0 characterisation of continuity or the sequential characterisation of continuity. Both characterisations are important and useful in different situations.

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Answer:27

Step-by-step explanation:First you find 10% of 30 which is 3 then you subtract 30-3=27

5 (2 cups of vinegar+ 2 cups of baking soda = 5 cups of fizzy mess)

or 4

Answer:

-0.58333333333

Step-by-step explanation:

Find the Least Common Multiple

     The left denominator is :       4

     The right denominator is :       6

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 1 2

3 0 1 1

Product of all

Prime Factors  4 6 12

Least Common Multiple:

    12

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Denominator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 3

  Right_M = L.C.M / R_Deno = 2

Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction, multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      9 • 3

  ——————————————————  =   —————

        L.C.M              12  

  R. Mult. • R. Num.      17 • 2

  ——————————————————  =   ——————

        L.C.M               12  

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

9 • 3 - (17 • 2)      -7

—————— =   ——

       12                 12

\(\frac{-7}{12}\) = -0.58333333333

Answer:

4x+7=3x+7

Step-by-step explanation:

4x+(7-7)=3x+(7-7)

4x=3x

The scale factor of the drawing of the neighborhood park would be = 2000.

The scale factor is defined as the ratio between the scale of the original object and the new object, which represents it but in a different size (larger or smaller).

The width of the neighborhood park. in real life = 8 meters

To convert 8 meters to millimetres is to multiply by 1000

= 8 × 1000 = 8000 mm

The scale factor = 4 × X = 8000

make X the subject of formula;

X = 8000/4

X = 2000.

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Answer:

2n+2

Step-by-step explanation:

-n -3 + 3n +5

Combine like terms

-n +3n      -3 +5

2n             +2

Answer:

2n+2

Step-by-step explanation:

Answer:

g(x) - f(x) = x² - 4x - 2

The domain would be all real numbers for x.  Or (-∞, ∞).  Because there are no values that you could plug in for x that would make the function undefined.

Step-by-step explanation:

g(x) - f(x) = (x² - x + 2) - (3x + 4)

= x² - x + 2 - 3x - 4

= x² - 4x - 2

Let's begin by using the formulas for the volume and surface area of a cube:

Volume = edge^3

Surface Area = 6 * edge^2

1. To find how fast the volume is shrinking when each edge is 13 cm, we need to take the derivative of the volume formula with respect to time:

dV/dt = 3(edge)^2 * (d(edge)/dt)

We know that the rate of change of the edge is -3 cm/sec (since it is shrinking), and we are given that the edge length is 13 cm. Substituting these values into the derivative formula, we get:

dV/dt = 3(13)^2 * (-3) = -1521 cm^3/sec

Therefore, the volume is shrinking at a rate of 1521 cm^3/sec when each edge is 13 cm.

2. Similarly, to find how fast the surface area is decreasing when each edge is 13 cm, we need to take the derivative of the surface area formula with respect to time:

dS/dt = 12(edge) * (d(edge)/dt)

Using the same values as before, we get:

dS/dt = 12(13) * (-3) = -468 cm^2/sec

Therefore, the surface area is decreasing at a rate of 468 cm^2/sec when each edge is 13 cm.
1. To find the rate at which the volume is shrinking, we can use the formula for the volume of a cube (V = a³) and differentiate with respect to time (t):

dV/dt = d(a³)/dt = 3a²(da/dt)

Given that the edges are shrinking at a rate of 3 cm/sec (da/dt = -3 cm/sec), and each edge is 13 cm:

dV/dt = 3(13²)(-3) = -1521 cm³/sec

The volume is shrinking at a rate of 1521 cm³/sec.

2. To find the rate at which the surface area is decreasing, we can use the formula for the surface area of a cube (S = 6a²) and differentiate with respect to time (t):

dS/dt = d(6a²)/dt = 12a(da/dt)

Given that the edges are shrinking at a rate of 3 cm/sec (da/dt = -3 cm/sec), and each edge is 13 cm:

dS/dt = 12(13)(-3) = -468 cm²/sec

The surface area is decreasing at a rate of 468 cm²/sec.

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Answer: 50 seconds

Step-by-step explanation: 14 feet divided by 7 seconds is 2. 2 feet per second

100 divided by 2 is 50 seconds.

Answer:

50 seconds divide 100 ÷14=7.14 ft and then multiply by 7sec= 50 sec.

Answer:

D

Step-by-step explanation:

Think of how you might express a line in a formula, there are many ways to do it but the only form the answers have is in the slope intercept form or

y=mx + b

Only B, D, and E fit this form so A and C can now be eliminated.

where m is the slope of a line and b is the y intercept of the line.

Here we see that the y intercept (or where the line hits the y-axis) is 0 so it should not have any constant b. This means it should be of the form

y = mx.

Finally, to find the slope m we use the rise over run of the slope of the line which can be put algebraically as

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

Where two points (x2, y2) and (x1, y1) are essentially being subtracted to give a slope. x2 and y2 are to the right of x1 and y1 to give the slope going from left to right.

On the graph we can see that the points with whole numbers are (0,0) (3,2), and (4,6). So we know that our answer must have x2 y2 and x1 y1 as whole numbers because those are the only options in our answers.

Although B uses the points (3,2) and (4,6) it subtracts them backwards with (3,2) as (x2,y2) instead of them acting as (x1,y1). This gives the slope from right to left which we do not want.

E puts x in the top part of the equation in the form  \(\frac{x_2-x_1}{y_2-y_1}\) which is not the formula used to find slope which is why E is incorrect.

From this, we figure out that the only answer that has one of the options of the form \(\frac{y_2-y_1}{x_2-x_1}\) is answer D because it has the points (4,6) and (0,0) in the right order.

Where h is the number of hours Melanie can rent the bike, and the solution is h < 5.5.

Let's first determine the cost of renting a bike for h hours:

Cost = 8h + 6

Since Melanie wants to rent a bike for less than $50, we can set up the following inequality:

8h + 6 < 50

Now we can solve for h:

8h < 44

h < 5.5

Since Melanie cannot rent a bike for a fraction of an hour, the maximum number of hours she can rent the bike is 5 hours.

Therefore, the inequality that will help Melanie find the maximum number of hours she can rent the bike is:

8h + 6 < 50

Where h is the number of hours Melanie can rent the bike, and the solution is h < 5.5.

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Answer:

the slope should be -1/3 because perpendicular is always opposite of the original slope.

Step-by-step explanation:

Answer:

ya you can take it both like integer and decimal

cause - the negative mark make it negative the . make it decimal

Answer:

Step-by-step explanation:

(2-4x)+(2-4x)+(-2x+8)=12-10x

Answer:

-1x -3

Step-by-step explanation:

(3x+4)+(-4x-7)

3x + 4 -4x -7

3x - 4x +4 -7

-1x -3

^answer:^

~10 cubic feet~

^step by step explanation:^

first, calculate the volume of the front “panel” of the shape. (5 cubic centimeters because 5 times 3 is 15 and 15 times 1/3 is 5. 5 times 2 is 10.

In statistical analysis, a hypothesis refers to a tentative explanation or prediction that is based on limited evidence and is subject to further investigation and testing. It is a statement that can be either true or false, and is typically formulated in such a way that it can be tested using statistical methods.

The hypothesis is often used to guide the research process, to help identify potential patterns or relationships in the data, and to evaluate the significance of the results.

Overall, the hypothesis plays a critical role in statistical analysis, as it provides a framework for understanding and interpreting data, and helps to ensure that research findings are reliable and valid.

A hypothesis in the context of statistical analysis is a tentative explanation or prediction about the relationship between two or more variables, which is subject to testing and empirical evaluation using statistical methods.

It is a statement that can be either true or false, and it is usually formulated in terms of the expected direction and strength of the relationship between the variables of interest.

The hypothesis is typically derived from existing theory, prior research, or common sense, and it serves as a guide for the collection, analysis, and interpretation of data in a scientific study.

The process of testing a hypothesis involves setting up null and alternative hypotheses, selecting an appropriate statistical test, collecting and analyzing data, and drawing conclusions based on the results of the analysis.

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The probability she will get a package of cupcakes is none of the above.

There is a chance of receiving a box is

The likelihood of receiving a box of cupcakes is 14/15

The probability  of missing out on the cupcake package

1/14+1 = 1/15

Receiving a box of cupcakes is likely to happen

1 - 1/15

= 15-1 / 15

=14 / 15

Simply put, probability is the likelihood that something will occur. We can discuss the likelihood of several outcomes or the potential of one outcome when we are unsure of how something will turn out.

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Answer:

Segment QR is the shortest

Answer:

qr

Step-by-step explanation:

Answer:

\( a = 4 \)

\( b = 2\sqrt{3} \)

Step-by-step explanation:

✔️Solving for a using trigonometric ratio:

reference angle = 60°

hypotenuse = a

adjacent = 2

Thus:

\( cos(60) = \frac{2}{a} \)

\( \frac{1}{2} = \frac{2}{a} \) (cos 60 = ½)

Cross multiply

\( 1*a = 2*2 \)

\( a = 4 \)

✔️Solving for b using trigonometric ratio:

reference angle = 60°

Opposite = b

Adjacent = 2

Thus:

\( tan(60) = \frac{b}{2} \)

Multiply both sides by 2

\( tan(60)*2 = \frac{b}{2}*2 \)

\( tan(60)*2 = b \)

\( \sqrt{3}*2 = b \) (tan 60 = √3)

\( 2\sqrt{3} = b \)

\( b = 2\sqrt{3} \)

The annual order cost is $1,600, annual holding cost is $56,000, annual logistics cost is $35,200, total purchase cost is $1,120,000, and total annual costs is $92,800.

To calculate the annual order cost, we need to determine the number of purchase orders placed in a year. Since each container holds 5,000 units and the annual demand is 80,000 units, the number of purchase orders is 80,000 / 5,000 = 16.

The annual order cost is then calculated by multiplying the number of purchase orders by the cost to place a purchase order: 16 * $100 = $1,600.

The annual holding cost is calculated by multiplying the holding cost rate (5%) by the total purchase cost. The total purchase cost is the product of the purchase cost per unit ($14.00) and the annual demand (80,000 units): 5% * ($14.00 * 80,000) = $56,000.

The annual logistics cost is calculated by multiplying the shipping cost per container ($2,200) by the number of purchase orders (16): $2,200 * 16 = $35,200.

The total purchase cost is the product of the purchase cost per unit and the annual demand: $14.00 * 80,000 = $1,120,000.

The total annual costs are the sum of the annual order cost, annual holding cost, and annual logistics cost: $1,600 + $56,000 + $35,200 = $92,800.

Therefore, the total annual costs amount to $92,800.

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Answer:

-16

Step-by-step explanation:

-16... using d = b²-4ac

Answer:

the discriminant is –16

hope this helps!