Round 5.58 to the nearest tenth

Answer:

komi chunga lilo mas te ordo

Step-by-step explanation:

Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.

To determine which point is a solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2, we can test each point to see if it satisfies both inequalities.

a) Point E at (4, -2):

Substituting the coordinates into the inequalities:

-2 > -2(4) + 10 -> -2 > -8 + 10 -> -2 > 2 (False)

-2 > (1/2)(4) - 2 -> -2 > 2 - 2 -> -2 > 0 (False)

b) Point K at (2, 3):

Substituting the coordinates into the inequalities:

3 > -2(2) + 10 -> 3 > -4 + 10 -> 3 > 6 (False)

3 > (1/2)(2) - 2 -> 3 > 1 - 2 -> 3 > -1 (True)

c) Point B at (4, 7):

Substituting the coordinates into the inequalities:

7 > -2(4) + 10 -> 7 > -8 + 10 -> 7 > 2 (True)

7 > (1/2)(4) - 2 -> 7 > 2 - 2 -> 7 > 0 (True)

d) Point D at (-7, 1):

Substituting the coordinates into the inequalities:

1 > -2(-7) + 10 -> 1 > 14 + 10 -> 1 > 24 (False)

1 > (1/2)(-7) - 2 -> 1 > -3.5 - 2 -> 1 > -5.5 (True)

Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.

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The scale factor of the image is 1/4 or 0.25.

What is scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

To solve this question, use the coordinates of WX and W'X' as points of reference.

From the diagram, it can be obtained that -

W(-8,8) and X(8,0)

W'(-2,2) and X'(2,0)

First, calculate distance for WX -

Distance formula is -

d = √(x2-x1)^2+(y2-y1)^2

Distance for WX -

d1 = √(8+8)^2+(0-8)^2

d1 = √(16)^2+(-8)^2

d1 = √256+64

d1 = √320

d1 = 17.88

Distance for W'X' -

d2 = √(2+2)^2+(0-2)^2

d2 = √(4)^2+(-2)^2

d2 = √16+4

d2 = √20

The scale factor is then calculated using -

Scale = W'X'/WX

Scale = d2/d1

Substitute values of d1 and d2 -

Scale =√20/√320

Scale = √(20/320)

Scale = √1/16

Scale = 1/4

Therefore, the scale value is 0.25.

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Answer: The number of speeding tickets issued is represented by x and the number of tickets for failure to obey traffic signals is represented by y. The total number of tickets issued is 130, so we have:

x + y = 130

The total amount of money collected in fines is $8,710.00, so we have:

67x + 67y = 8710

These two equations form a system of linear equations that can be used to determine the number of speeding tickets, x, and the number of tickets for failure to obey traffic signals, y. To solve this system, we can use any of the methods for solving a system of linear equations, such as substitution, elimination, or matrices.

Step-by-step explanation:

Answer:

12 words a minute

Step-by-step explanation:

To find the answer all you need to do is divide 60/5

Answer:

12

Step-by-step explanation:

60 divided by 5

Answer:

Step-by-step explanation:

Answer:

£312

Step-by-step explanation:

We require 16 lbs of $2.95 coffee and 28 lbs of $3.30 coffee to produce 44 pounds of blended coffee.

Finding the values of the variables employed in a system of equations entails solving the set of equations. While keeping the equations balanced on both sides, we compute the values of the unknown variables. Finding the value of the variable that makes the condition of all the given equations true is the primary goal when solving an equation system. A given system of equations may have a variety of solutions, unique response, No remedy, and there are several options.

Let the coffee worth 2.95 pound = x.

Let the coffee worth 3.50 pound = y

The blend of 3.30 pound for 44 pounds is = 145.2.

Given that, coffee worth 2.95 a pound was mixed with coffee worth 3.50 a pound to produce a blend worth 3.30 a pound.

2.95x + 3.50y = 145.2.......(1)

We need to produce 44 pounds of coffee.

x + y = 44...........(2)

The equation 2 can be written as:

y = 44 - x

Substitute the value of y in equation 1:

2.95x + 3.50(44 - x) = 145.2

2.95x + 15.4 - 3.50x = 145.2

6.45x = 145.2 - 15.4

x = 16

Substitute the value of x in equation 2:

16 + y = 44

y = 28

Hence, we require 16 lbs of $2.95 coffee and 28 lbs of $3.30 coffee to produce 44 pounds of blended coffee.

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The P-value of the test statistic is approximately 0.0339.

To determine the P-value of the test statistic, we need to perform a hypothesis test.

Null Hypothesis (H₀): The percentage of insured patients is equal to or greater than the expected percentage.

Alternative Hypothesis (H₁): The percentage of insured patients is less than the expected percentage.

Given:

Sample size (n) = 280

Number of insured patients in the sample (x) = 140

Expected percentage of insured patients = 56%

First, we calculate the expected number of insured patients under the null hypothesis:

Expected number of insured patients = Expected percentage * Sample size

= 0.56 * 280

= 156.8

Next, we can use the normal approximation to the binomial distribution since both the sample size and the expected number of successes are sufficiently large.

The test statistic for this scenario is given by:

z = (x - μ) / σ,

where x is the observed number of insured patients in the sample, μ is the expected number of insured patients under the null hypothesis, and σ is the standard deviation.

The standard deviation can be calculated using the formula:

σ = sqrt(n * p * (1 - p)),

where n is the sample size and p is the expected percentage.

Plugging in the values, we get:

σ = sqrt(280 * 0.56 * (1 - 0.56))

= sqrt(280 * 0.56 * 0.44)

≈ 9.148

Now, calculating the test statistic:

z = (140 - 156.8) / 9.148

≈ -1.835

To find the P-value associated with this test statistic, we look up the corresponding area under the standard normal distribution curve.

Using a standard normal table or calculator, the P-value for z ≈ -1.835 is approximately 0.0339.

Rounding the P-value to four decimal places, we have:

P-value ≈ 0.0339

Therefore, the P-value of the test statistic is approximately 0.0339.

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Answer:

15.81 = ?

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

9^2 + 13^2 = ?^2

81 +169 = ?^2

250 = ?^2

Taking the square root of each side

sqrt(250) =?

15.8113883= ?

To the nearest 100th

15.81 = ?

Answer:

Using Pythagorean theorem:- \(a^{2} +b^{2} =c^{2}\)

a= 13

b= 9

c= ? ( length)

\(13^{2} +9^{2} =?^{2}\)

\(13^{2} =169\)

\(9^{2} =81\)

\(169+81=?^{2}\)

\(250=?^{2}\)

\(\sqrt{250}=15.811\)

\(?=15.81\)

OAmalOHopeO

The general solution to the differential equation y'' + 16y = 0 is y(x) = (c₁ + c₂) * cos(4x)

To solve the differential equation y'' + 16y = 0 using reduction of order, we'll assume a second solution of the form y₂(x) = u(x) * y₁(x), where y₁(x) is a known solution and u(x) is an unknown function.

Given y₁(x) = cos(4x), we'll differentiate it to find y₁'(x) and y₁''(x):

y₁'(x) = -4sin(4x)

y₁''(x) = -16cos(4x)

Now we substitute y₂(x) = u(x) * y₁(x) into the original differential equation:

y'' + 16y = 0

(-16cos(4x)) + 16(u(x) * cos(4x)) = 0

Simplifying the equation:

-16cos(4x) + 16u(x) * cos(4x) = 0

cos(4x)(-16 + 16u(x)) = 0

For this equation to hold for all values of x, we must have (-16 + 16u(x)) = 0.

Solving for u(x):

-16 + 16u(x) = 0

16u(x) = 16

u(x) = 1

Now we have the second solution:

y₂(x) = u(x) * y₁(x)

y₂(x) = 1 * cos(4x)

y₂(x) = cos(4x)

Therefore, the general solution to the differential equation y'' + 16y = 0 is:

y(x) = c₁ * y₁(x) + c₂ * y₂(x)

y(x) = c₁ * cos(4x) + c₂ * cos(4x)

y(x) = (c₁ + c₂) * cos(4x)

Where c₁ and c₂ are arbitrary constants.

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Two non-adjacent angles formed by two intersecting lines are vertical angles.

Below you can see a graph with two intersecting lines where 4 angles are formed.

There are two pairs of angles.

In the image:

Are adjacent.

Are vertical.

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To evaluate the limits of the function f(x), we substitute the given values of x into the function:

lim f(x) as x approaches 18 = -2(18)² - 3(18) + 1

                             = -2(324) - 54 + 1

                             = -648 - 54 + 1

                             = -701

lim f(x) as x approaches 1/8 = -2(1/8)² - 3(1/8) + 1

                             = -2(1/64) - 3/8 + 1

                             = -1/32 - 3/8 + 1

                             = -1/32 - 12/32 + 32/32

                             = 19/32

Therefore, lim f(x) as x approaches 18 is -701, and lim f(x) as x approaches 1/8 is 19/32.

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Answer:

D

Step-by-step explanation:

Yes.

The connector is OR. That means that only one of the conditions need be right. Two right is a bonus. None right means you must answer no. x= 3

solves for 4x - 5 = 4*3 - 5 = 7

Since the inequality is greater or equal to three, this means that one of the choices is correct.

The answer is D.

Answer:

41o + 442.2 ≤ 680

o ≤ 5.8

Step-by-step explanation:

First you have to add up the cost of the bike and gear which should be $442.2 and we already know the cost per outfit is $41 and the budget is $680. When an equation says "some or all" it means less than or equal to.

The inequality should be set up as:

Cost per outfit (# of outfits) + cost of bike and gear ≤ budget

and then solve for # of outfits

Step-by-step explanation:

Answer:

Step-by-step explanation:

here is an example that should help Houa has $800 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.

She buys a new bicycle for $483.09.

She buys 2 bicycle reflectors for $4.55 each and a pair of bike gloves for $31.96.

She plans to spend some or all of the money she has left to buy new biking outfits for $55.17 each.

Write and solve an inequality which can be used to determine xx, the number of outfits Houa can purchase while staying within her budget.

\text{Find the cost of the bike and gear:}

Find the cost of the bike and gear:

\text{cost of bike + (\# of reflectors)(cost of reflectors) + cost of gloves}

cost of bike + (# of reflectors)(cost of reflectors) + cost of gloves

\$483.09+(2)(\$4.55)+\$31.96

$483.09+(2)($4.55)+$31.96

\color{blue}{\$524.15}

$524.15

\text{We know:}

We know:

\color{blue}{\text{cost of bike \& gear}}=

cost of bike & gear=

\,\,\color{blue}{\$524.15}

$524.15

\color{red}{\text{cost per outfit}}=

cost per outfit=

\,\,\color{red}{\$55.17}

$55.17

\color{purple}{\text{budget}}=

budget=

\,\,\color{purple}{\$800}

$800

\text{number of outfits}=

number of outfits=

\,\,x

x

\text{Inequality:}

Inequality:

"Some or all" means she can also spend less than $800, so we will use the \leq≤ ("less than or equal to") symbol:

\color{red}{\text{cost per outfit}}\cdot\text{\# of outfits}+\color{blue}{\text{cost of bike \& gear}}\le\color{purple}{\text{budget}}

cost per outfit⋅# of outfits+cost of bike & gear≤budget

\boxed{\color{red}{55.17}x+\color{blue}{524.15}\le\color{purple}{800}}

55.17x+524.15≤800

​

\text{Solve:}

Solve:

\color{red}{55.17}x+\color{blue}{524.15}\le

55.17x+524.15≤

\,\,\color{purple}{800}

800

-\color{blue}{524.15}\phantom{=}

−524.15=

\,\,-\color{blue}{524.15}

−524.15

Subtract 524.15 from both sides

\color{red}{55.17}x\le

55.17x≤

\,\,275.85

275.85

\frac{\color{red}{55.17}x}{\color{red}{55.17}}\le

55.17

55.17x

​

≤

\,\,\frac{275.85}{\color{red}{55.17}}

55.17

275.85

​

Divide both sides by 55.17

x\le

x≤

\,\,5

5

Answers:

Inequality: 55.17x+524.15\le80055.17x+524.15≤800

Answer: x \le 5x≤5

Answer:

The parent graph is translated 2 to the left and up 6 units.

Step-by-step explanation:

The +2 moves the  parent 2 units to the left and the + 6 moves it up 6 units.

Answer:

Correct answer is B

Step-by-step explanation:

I also am from Raleigh so yeah

Answer:

B

Step-by-step explanation:

Just did the quiz

Hope this helps

In the given list of well-formed formulas (wffs), we need to identify the main logical connective in each formula. Here are the main logical connectives for each wff:

The main logical connective in ¬(A ∧ B) is ¬ (negation).

The main logical connective in A ∨ (B × C') is ∨ (disjunction).

The main logical connective in (A ∧ (B ∨ C)) ∨ D is ∨ (disjunction).

The main logical connective in ¬(¬A ⇒ (B ∧ C)) is ¬ (negation).

The main logical connective in A is no connective as it is a simple proposition.

The main logical connective in ((A ⇒ B) ∧ (B ⇒ C)) ⇒ (A ⇒ C) is ⇒ (implication).

The main logical connective in (A ∧ B) ∧ ¬(B ∧ C) is ∧ (conjunction).

The main logical connective in A ∨ ((B ⇒ C) ∧ (D ∨ E)) is ∨ (disjunction).

The main logical connective in (A → (B ⇒ C')) ∧ ¬C is ∧ (conjunction).

The main logical connective in (A ∨ (B ∨ ¬C)) ∨ (D ∨ ¬E) is ∨ (disjunction).

The main logical connectives for the given wffs are: ¬, ∨, ∨, ¬, no connective, ⇒, ∧, ∨, ∧, and ∨.

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Answer:

D

Step-by-step explanation:

draw a line c on point3 and // to a and b, then angle3 will be 32+41 will be 73

Answer:

Step-by-step explanation:

x² + 10x + 24 = 0

Discriminant = 10² - 4×1×24 = 4

The discriminant is positive, so there are two distinct, real solutions.

Answer:

The answer is C) 4; Two real solutions.

Step-by-step explanation:

x2 + 10x + 24 = 0 in the function  

x2 resembles a

10x resembles b

24 resembles c

so, let's convert.

b2-4ac

(10) ^2 - 4(1)(24)

100 - 96

= 4

The system of equations that models the given situation are;

y = 10x + 35

y = 5x + 35

Let x denote the number of years since 2010

Let y denote the total members

The linear equation in slope intercept form is expressed as;

y = mx + b

where;

m is the slope or unit rate

b is the y-intercept or initial value

For the swim team, since  the team increased by an average of 10 members per year, then;

Slope = 10

In 2010, they had 5 members and so; y-intercept = 35

Thus, the equation is; y = 10x + 35

For the chorus team, we can deduce that;

Slope = 5 members per year

In 2010, they had 35 members and so; y-intercept = 35

Thus, the equation is; y = 5x + 35

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Complete question is;

Central High School had five members on their swim team in 2010. Over the next several years, the team increased by an average of 10 members per year. The same school had 35 members in their chorus in 2010. The chorus saw an increase of 5 members per year. Write a system of equations to model this situation, where x represents the number of years since 2010.

Answer: B. XIX

Step-by-step explanation: If Sarah is 3 years older than Ben, she is 3 years older than 16. That means she is 19 years old. In Roman numerals, we need to think of it as she is 10+9 years old.

X represents 10.

IX represents 9 Because...

... in order to represent a number less than ten, we need to think about how much less than ten it is. Since 9 is one less than 10, you write it as IX since a smaller numeral in front of X represents subtraction.

So you combine the 10 and 9 to get XIX.

The height of Jeremy is 159 cm.

To find the height of Jeremy:

So,

Then, Jeremy = 135 + 24 = 159 cm.

Therefore, the height of Jeremy is 159 cm.

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Answer:

Yes

Step-by-step explanation:

Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]

This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.

Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.

Answer:

0.2

Step-by-step explanation:

C.O.P-the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.

So to find that you would divide y by x.

In this case the dot is between 0 and 2 on y so it is 1 and between 4 and 6 on x so it is 5.

Then you would divide 1/5 and get 0.2 or you could look at the end of the graph and notice that the last point is at (10,2) and divide 2/10 and get the same thing.

HOPE THIS HELPS!!!

minutes of long-distance calls in a month make plan A the better deal= 300.

you are choosing between two long-distance telephone plans. Plan A has a monthly fee of $15 with a charge of $0.08 per minute for all long-distance calls. Plan B has a monthly fee of $3 with a charge of $0.12 per minute for all long-distance calls.

f(x)=15+0.08x

g(x)=3+0.12x

The costs for the two planes be the same when f(x)=g(x),

15+0.08x=3+0.12x

12=0.04x

x=300 minut.

f(x)=15+0.08*300=15+24=39.

g(x)=3+0.12*300=3+36=39.

 minutes of long-distance calls in a month make plan A the better deal= 300.

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Answer:

C. She used GF = 2BG, but the correct statement is BG = 2GF.

Step-by-step explanation:

credits to the other person!

Answer:

C.

Step-by-step explanation:

Edge 2021

Answer:

x=84

y=59

Step-by-step explanation:

if the triangles are similar than the angles don't change so and y is equal to 59.

to find the missing side we do 40/30 x 63 and we get that x=84

Answer: 150cm

Step-by-step explanation:

A=6a2

A=6a2=6·52=150