Solve this quick. plz

By definition

From the graph

The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

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Answer:

a) $4,475.20

b) it would take approximately 0.846 years or approximately 10 months to pay off the loan.

Step-by-step explanation:

if we nevermind the deposit and repayment dates, since they are not relevant for this case, so we have only a loan for $800 to be repaid in 22 weeks, at 203.40 every other week, biweekly namely.

Now, we can also nevermind the biweekly part, 22 payments are 22 regardless if it's done daily or yearly or bimonthly or bidecade, 22 is just 22.

a)

22 payments at 203.4 is just (22)(203.4) = 4474.8.

b)

how long does that take?

well, hell the loaner doesn't give much choices, you pay it every other week 22 times, how many weeks is that? 22*2 = 44 weeks.

Since we know a year has 52 weeks, then 44 weeks is just 44/52 of a year, namely

\(\cfrac{44}{52}\implies \cfrac{11}{13} ~~ \approx ~~ \text{\LARGE 0.85}~years\)

For a savings account with an initial deposit of $425.00, the account balance after 9 years if the account earns 2.7% simple interest annually is

The account balance is solved by adding the initial deposit to the simple interest.

The simple interest is solved using the simple interest formula

The formula is stated as

Simple interest = Principal *  time *  rate / 100

In the problem the give data include

principal = $425.00

rate= 2.7%

time = 9 years

plugging in the values

Simple interest = Principal *  time *  rate / 100

Simple interest = 425 * 9 * 2.7 / 100

Simple interest = 10327.5 / 100

Simple interest = 103.275

The account balance

=  initial deposit + simple interest

= 103.275 + 425

= $528.28

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Answer:

a. A hen needs 9,125 grasshoppers per year

b. 3,330,625 grasshoppers are needed for a year's supply of hens for the farmer each year

c. The total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year 3330.625 kg

d. 99918.750 kg of soybeans are needed to feed all the grasshoppers for one year.

Step-by-step explanation:

a. To calculate the number of grasshoppers a hen needs per year.

There are 365 days days in a year.

From the question,  1 hen eats 25 grasshoppers/day

If 1 hen eats 25 grasshoppers per day, then

1 hen will eat 25 × 365 grasshoppers per year

25 × 365 = 9125

Hence, a hen needs 9,125 grasshoppers per year.

b. To determine how many grasshoppers are needed for a year's supply of hens for the farmer each year

From the question, The farmer lives on 1 hen/day for a year.

That is, for a year, the farmer lives on 365 × 1 hen = 365 hens

Now, we will determine how many grasshoppers 365 hens will need for a year.

Since, a hen needs 9,125 grasshoppers per year

Then, 365 hens will need 365 × 9125 grasshoppers per year

365 × 9125 = 3330625 grasshoppers

Hence, 3,330,625 grasshoppers are needed for a year's supply of hens for the farmer each year.

c. To determine the total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year

From the question, 1,000 grasshoppers have a mass of 1 kg.

That is, 1,000 grasshoppers have a mass of 1000 g

(NOTE: 1000g = 1kg)

If 1,000 grasshoppers have a mass of 1000 g

Then, 1 grasshopper will have a mass of (1 × 1000) /1000 = 1 g

From b., the total number of grasshoppers needed to feed all the hens for one year is 3,330,625 grasshoppers.

Now, we will determine the mass of 3,330,625 grasshoppers

1 grasshopper have a mass of 1 g

∴ 3,330,625 grasshoppers will have a mass of (3,330,625 × 1) / 1 = 3,330,625 g

Now, we will convert this to kilograms (kg)

If 1000 g = 1 kg

Then, 3,330,625 g = (3,330,625 × 1) / 1000 = 3330.625 kg

Hence, the total mass, in kilograms, of the grasshoppers needed to feed all the hens for one year 3330.625 kg.

d. To determine how many kilograms of soybeans are needed to feed all the grasshoppers for one year

From the question, 1 grasshopper requires about 30 g of soy/yr

From b., 3,330,625 grasshoppers are needed for a year's supply of hens for the farmer each year

If 1 grasshopper requires about 30 g

Then, 3,330,625 grasshoppers will require (3,330,625 × 30) / 1 = 99918750 g of soy/yr

Now, we will convert this to kilograms

If 1000 g = 1 kg

Then, 99918750g = (99918750 × 1) / 1000 = 99918.750 kg

Hence, 99918.750 kg of soybeans are needed to feed all the grasshoppers for one year.

a) The total closing costs are $100,000.

b) The actual amount they financed with the mortgage is $90,000.

a) Total Closing Costs:

To find the total closing costs, we need to calculate 10% of the selling price, which represents the down payment. Additionally, we need to consider the closing costs that are financed as part of the mortgage.

Calculate the down payment:

Down Payment = 10% of Selling Price

Down Payment = 10% of $100,000

Down Payment = $10,000

Calculate the financed amount for closing costs:

Financed Closing Costs = Selling Price - Down Payment

Financed Closing Costs = $100,000 - $10,000

Financed Closing Costs = $90,000

Therefore, the total closing costs are $10,000 for the down payment plus $90,000 for the financed closing costs, resulting in a total of $100,000.

b) Actual Amount Financed with the Mortgage:

To find the actual amount financed with the mortgage, we need to subtract the down payment from the selling price.

Actual Amount Financed = Selling Price - Down Payment

Actual Amount Financed = $100,000 - $10,000

Actual Amount Financed = $90,000

Therefore, Kyung Ja and Hideo Hakola financed $90,000 with the mortgage.

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Answer:

The rocket will reach its highest point about 2.04 seconds.

Step-by-step explanation:

The function:

\(f(t)=-4.9t^2+20t\)

Models the relationship between the height of the rocket and the time after launch t in seconds.

Since this is a quadratic function, the rocket will reach its highest point at its vertex. The vertex of a quadratic is given by:

\(\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)\)

In this case, a = -4.9, b = 20, and c = 0. Thus:

\(\displaystyle t=\frac{-(20)}{2(-4.9)}=\frac{10}{4.9}\approx 2.04\)

The rocket reaches its maximum height after 10/4.9 or about 2.04 seconds.

Further Notes:

Then the maximum height of the rocket will be f(10/4.9):

\(\displaystyle f\Big(\frac{10}{4.9}\Big)=-4.9\Big(\frac{10}{4.9}\Big)^2+20\Big(\frac{10}{4.9}\Big)\approx20.41\text{ feet}\)

Answer: A

Step-by-step explanation: Ape x

Answer:

y = 1x + -5

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

the line touches the y-axis at -5, therefore the y-intercept, or b, is -5.

y = mx + b ⇒ y = mx - 5

now i'll find the slope by picking two points from the line and finding the change in y over the change in x, aka \(\frac{y_2-y_1}{x_2-x_1}\). i'll use the points (8, 3) and (5, 0)  from the line in order to calculate the slope. (8, 3) can be my \(x_2\) and \(y_2\) and (5, 0) can be my \(x_1\) and \(y_1\).

first, i'm going to plug in my \(y_2\) and \(y_1\) values, which are the y-values from each of the coordinate pairs. since i picked (8, 3) for \(x_2\) and \(y_2\) and (5, 0) for \(x_1\) and \(y_1\), i will be plugging in 3 for \(y_2\) and 0 for \(y_1\).

\(\frac{y_2-y_1}{x_2-x_1}\) ⇒ \(\frac{3-0}{x_2-x_1}\)

then i'll plug in my \(x_2\) and \(x_1\) values, which will be 8 and 5.

\(\frac{3-0}{x_2-x_1}\) ⇒ \(\frac{3-0}{8-5}\)

now simplify by subtracting 0 from 3 and 5 from 8.

the slope is \(\frac{3}{3}\), which simplifies to 1 because \(\frac{3}{3}\) or  3 ÷ 3 = 1.

the slope-intercept form equation for this line is y = 1x + -5 (or just y = x - 5, but since it's a fill-in-the-blank problem, the 1 will show in front of the y and -5 will come after the + sign.)

i hope this helps! have a lovely day <3

The total area they need to paint is:

Answer:

X=27

Step-by-step explanation:

< BAC = x

< ABC = 90° KL PERPENDICULAR TO FG

<ACB= 63

X+90+63=180

X=27

Answer:

x = 27 degree      Due to complimentary = 90 as 180-90 = 90 degree and emits our right angle 90 degree then GCJ + IAK= 63 +27 = 90 due to Complementary angles where 2 angles add up to 90 degree

Step-by-step explanation:

GCJ = 63    IAK = x   Where;  DE = FG to parallel lines KAE =90 degrees and is congruent to ABG Therefore x = 180-90- 63 = 27 degree as supplementary angles up to 180 degree    or 90-63= 27 and angles GCJ + IAK= 63 +27 = 90 due to Complementary angles where 2 angles add up to 90 degree

Answer:

B. No the ordered pair does not satisfy the equation

Step-by-step explanation:

y = -9x - 2

Substitute the point in and see if it is true

-37 = -9(4) -2

-37 = -36 -2

-37 = -38

This is not true so the point is not a solution

Answer:

P(B) = 8/12

P(R | B) = 4/11

P(B ∩ R) = 8/33

The probability that the first ball chosen is black and the second ball chosen is red is about  24 percent.

Step-by-step explanation:

I just got it right on edge 2020. Good luck with school!!

The probability that the first ball chosen is black and the second ball chosen is red is about percent is 66.67%.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, a box contains four red balls and eight black balls.

Let event B be choosing a black ball first and event R be choosing a red ball second.

Here, total number of outcomes = 4+8 =12

P(B) = 8/12 and P(R)=4/12

We know that, P(R|B) =P(R∩B)/P(B)

Here, P(R∩B)= 8/12 × 4/12

= 2/3 × 1/3

= 2/9

So, P(R|B) =2/9 × 12/4

= 2/3 ×100

= 66.67%

Therefore, the probability that the first ball chosen is black and the second ball chosen is red is about percent is 66.67%.

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Based on the expression given in the image and the values of a, b, and c, the value of the expression is 6 ¹/₆.

When given the values of a, b, and c, the value of the expression can be solved by plugging the digits into the expression.

The expression is:

= (a + 2bc) / 3a

Getting the value by solving gives:

= (4 + (2 x -5 x -7)) / (3 x 4)

= (4 + 70) / 12

= 74 / 12

= 6 ² /₁₂

= 6 ¹/₆

In conclusion, the value of the expression is 6 ¹/₆.

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Answer: 12340

Step-by-step explanation:

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Siendo nxnsnen

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The equation of the line containing the paints A and B is y = -1/3x + 4

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

The graph

Where, we have

(6, 2) and (0, 4)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the other points, we have

6m + 4 = 2

So, we have

6m = -2

Evaluate

m = -1/3

So, we have

y = -1/3x + 4

As an equation, we have

y = -1/3x + 4

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The solution for x, y, and z is x = 2, y = 2, and z = 2.

To solve the equation (35)"4(23)"5(25)"7 = 2"x3"y*5"z, let's break it down step by step:

Simplify the expressions within the parentheses using the power of operator ("^").

\((35)"4 = 15^4\\(23)"5 = 6^5\\(2\times5)"7 = 10^7\)

Apply the power rule of exponents, which states that \((a^b)^c = a^{(b\times c).\)

\(15^4 \times 6^5 \times 10^7 = (15610)^{(4+5+7)\)

Simplify the expression within the parentheses.

\((15610)^{16 }= 900^{16\)

Express both sides of the equation in terms of prime factors.

\(900 = 2^2 \times 3^2 \times 5^2\)

quate the powers of the prime factors on both sides of the equation.

\(2^2 \times 3^2 \times 5^2 = 2"x \times 3"y \times 5"z\)

From this, we can conclude that x = 2, y = 2, and z = 2.

Therefore, the solution for x, y, and z is x = 2, y = 2, and z = 2.

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Answer: 15s - 100= 350

Step-by-step explanation:

i did it and got it right

Equation represents the situation 15s-100=350

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

The complete situation is:

Rory sold T-shirts at a festival for $15 each. He paid $100 in materials and fees.

Rory's profit after the festival was $350.

Now, Let s equal the number of shirts sold.

The total cost will be =15s

As he paid $100 in materials and fees.

so,

= 15s-100

The equation which represent the situation is :

15s-100= 350.

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A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.

Here, we have

Given:

Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C

After 14 days, the percentage οf the mοοn is zerο

A = (max-min)/2 = 50/2 = 25

The periοd = 28 days

P = Acοs(BT = t) + c

B = 2π/periοd = 2π/28 = π/14

c = min + A = 0 + 25 = 25

We get,

P = 25cοs(π/14t) + 25,

Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.

Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

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It equals a 9% decrease.

Answer:

9%

Step-by-step explanation:

We can do this problem by solving 91/100*100, which is 91, so 100-91=9

Answer:

There are at least two reasons to articulate assumptions underlying a research problem. First, these assumptions will guide the selection of research questions and/or the formation of hypotheses, as well as the interpretation of the data. Clearly stating the assumptions assists the reader in evaluating the merits of the study and the conclusions drawn from it. Second, to the extent that the researcher is aware of his/her assumptions, these can be incorporated into the study design as needed to promote the validity of the conclusions drawn from the study.

Step-by-step explanation:

The perimeter of the irregular shape is 40 cm.

We know that a polygon is defined as a closed figure made up of three or more line segments connected end to end.

Given that the parameters as :

10 cm

15 cm

7 cm

6 cm

2 cm

Perimeter  ; the sum of length of the sides used to made the given figure..

Let Perimeter  = p

Perimeter P = 10 + 15 + 7 + 6 + 2

= 40 cm

The answer will be 40 cm.

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Answer:

Step-by-step explanation:

Since we are dealing with binomial probability in this scenario, then the outcome is either a success or a failure. A success in this case means that a chosen adult has a bachelor's degree. The probability of success, p would be 20/100 = 0.2

The number of adults sampled, n is 100

The number of success, x is 60

The probability that more than 60 adults have a bachelor's degree P(x >60) would be represented as

d. P(x<60)=binomcdf (100.0.20.60)

binompdf is used when we want to determine P(x = 60)

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

\(5x+40\\5(-5)+40\\-25+40\\15\)

Answer:

Let's solve your equation step-by-step.

4(u+1)=12

Step 1: Simplify both sides of the equation.

4(u+1)=12

(4)(u)+(4)(1)=12(Distribute)

4u+4=12

Step 2: Subtract 4 from both sides.

4u+4−4=12−4

4u=8

Step 3: Divide both sides by 4.

4u/4=8/4

u=2

Answer:

3

Step-by-step explanation:

first you multiply the 4 by the u and by the 1 and then you get 4u+4=12 then you subtract the 4 by the both sides and you get 4u=8 and the you divide 4 in the both sides and you get u=2 and then you add the 2+1

Answer:

2·2·2·2 = 16

Step-by-step explanation:

everytime a number is raised by another, that means you are going to multiply the base number  times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:

2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:

2² = 2 · 2 = 4

2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:

2³ = 2 · 2 · 2 = 8

In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:

2^4 = 2·2·2·2 = 16

the same format will be used regardless of the base number and the exponent

i hope this helps! :)

Answer:

256

Step-by-step explanation: