6. x+1<-3 I need this done tonight I don’t know how to solve this.

Step-by-step explanation:

x²= (5.3)²+(12.8)²

= 28.09 + 163.84

= 191.93

x =√191.93 = 13.85

Answer:

13.85

Step-by-step explanation:

√(12.8)²+(5.3)²

=13.85

Answer:

Step-by-step explanation:

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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The inequality we want to find is:

$40 + $0.08*x ≤  $170

Where x is the number of miles Justin can drive, and the solution is:

x ≤ 1,625

We know that there is a fixed cost of $40 plus $0.08 for every mile driven. So if you rent the car and drive for x miles, the total cost is:

C(x) = $40 + $0.08*x

We know that Justin has at most $170 to spend, so we can write the inequality:

$40 + $0.08*x ≤  $170

Solving this for x, we get:

$0.08*x ≤  $170  - $40

$0.08*x ≤  $130

x ≤  $170 /$0.08  

x ≤ 1,625

So Justin can drive at most 1625 miles with the money he has.

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Answer:

Inequality: 40x+10≤170

Answer: x 4x≤4

Step-by-step explanation:

trust me

Answer:

slope = 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

y = f(x) = 3x - 2 ← is in slope- intercept form

with slope m = 3

We assume that G is a connected planar graph with no vertex of degree <= 5. We will use e <= 3v - 6 to prove that G is not a planar graph. By handshaking lemma, we know that 2e = sum of degrees of all vertices. Let d be the maximum degree of G.

Qa. Contrapositive of an implication is a new implication formed by negating both the hypothesis and the conclusion.

The contrapositive of the implication "If G is a connected planar graph, then G has at least one vertex of degree <= 5" is "If G has no vertex of degree <= 5, then G is not a connected planar graph."

Qb. Proof: We assume that G is a connected planar graph with no vertex of degree <= 5.

We will use e <= 3v - 6 to prove that G is not a planar graph. By handshaking lemma, we know that 2e = sum of degrees of all vertices.

Let d be the maximum degree of G. Since G has no vertex of degree <= 5, then d >= 6.

Thus, the sum of degrees of all vertices in G is greater than or equal to 6v/2, which is equal to 3v.

Hence, 2e >= 3v.

Substituting this inequality in e <= 3v - 6, we get 2e >= 3e - 6, which implies that e >= 6.

Since e >= 6, it follows that G is not planar.

Qc. Proof: We use proof by induction on the number of vertices of G. For a graph with one vertex, the statement is trivially true.

For a graph with n > 1 vertices, assume that every planar graph with at most n - 1 vertices can be colored with 6 (or less) colors.

Let G be a planar graph with n vertices.

By part (a), there exists a vertex v of G with degree <= 5.

We remove v and all its edges from G to get a new graph G' with n - 1 vertices.

By the induction hypothesis, we can color G' with 6 (or less) colors.

We add back v and its edges to G.

Since v has degree <= 5, at most 5 colors are used on its adjacent vertices.

We use a new color for v.

Thus, G can be colored with 6 (or less) colors.

Therefore, by induction, the statement is true for all planar graphs.

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Linear regression forecasting is an algorithm used for identifying and predicting the future values of a dependent variable based on the independent variable.

The major restriction in linear regression forecasting is that it only takes into account the linear relationship between the dependent and independent variables.

The model assumes that the relationship between the dependent and independent variable is linear and not nonlinear. This assumption may not always be true because there might be cases where the relationship between the variables is non-linear, which can result in inaccuracies in the forecast.

The model's reliability is also based on the quality of the data used for regression analysis. If the data is incorrect, outdated, or incomplete, the accuracy of the model can be negatively affected. Another limitation is that the model assumes that the relationship between the dependent and independent variables is constant over time, which may not be true in the real world.

Also, linear regression is a parametric method that requires certain assumptions about the data, including the normality of the residuals and constant variance of the errors.Linear regression forecasts require data to be independent and unbiased and may not work well if data contains outliers or noise.

Linear regression cannot identify causality or differentiate between correlation and causality. Hence, it is recommended to use linear regression along with other techniques for better accuracy.

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Answer: C. It illustrates the resistance of the median.

Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

Solution :

Population proportion, P = 77%

Sample size is given by n = 55

Sample proportion = \($\frac{x}{n} = \frac{34}{55}= 0.61$\)

Null hypothesis

The population proportion of the fatalities of the drivers that are related to alcohol = 77%

\($H_0 : P = 77$\) %

\($H_0 : P = 0.77$\)

Alternate hypothesis, \($H_a : P < 0.77$\)

Therefore, the test statistics = \($\frac{0.61 - 0.77}{\sqrt{\frac{0.7 \times 0.23}{55}}}$\)

                                                = -3.2

Critical value = -1.64

and the rejection zone : test zone, -1.645

Therefore, we fail rejecting \($H_0$\)

p value 0.0582

rejection zone :: p value , 0.01

So we fail to reject \($H_0$\)

Thus the data does not indicate the population proportion of the drivers fatalities which are related to the alcohols which is less than 77% in the county of Kit Carson.

The evil dragon can choose four maidens to eat in 182 different ways that do not include both Dorothy and Virginia.

There are 120 different ways that the evil dragon can choose four maidens out of the ten without including both Dorothy and Virginia.

To arrive at this answer, we first need to calculate the total number of ways that the dragon can choose any four maidens out of the ten. This can be done using the formula for combinations, which is:

nCr = n! / (r! * (n-r)!)

In this case, n = 10 (the total number of maidens) and r = 4 (the number of maidens the dragon wants to choose). So the total number of ways the dragon can choose four maidens out of ten is:

10C4 = 10! / (4! * (10-4)!) = 210

Next, we need to subtract the number of ways that include both Dorothy and Virginia. The dragon cannot choose both of these maidens, so we need to calculate the number of ways that it can choose the other two maidens. This can be done using the formula for combinations again, but this time with n = 8 (the number of maidens remaining after excluding Dorothy and Virginia) and r = 2 (the number of maidens the dragon still needs to choose).

8C2 = 8! / (2! * (8-2)!) = 28

Finally, we can subtract the number of ways that include both Dorothy and Virginia from the total number of ways to get the answer:

210 - 28 = 182

So the evil dragon has 182 ways to choose four maidens to eat that do not include both Dorothy and Virginia.



The evil dragon can choose four maidens out of ten in 210 different ways. However, it cannot choose both Dorothy and Virginia, so we need to subtract the number of ways that include them both. The dragon can choose two more maidens out of the remaining eight, which can be done in 28 different ways. By subtracting this from the total number of ways, we get that the dragon has 182 ways to choose four maidens to eat that do not include both Dorothy and Virginia.



In conclusion, the evil dragon can choose four maidens to eat in 182 different ways that do not include both Dorothy and Virginia. This calculation was done using the formula for combinations, which involves finding the total number of ways to choose the maidens and then subtracting the number of ways that include both Dorothy and Virginia.

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Step-by-step explanation:

27° + c = 180° ( supplementary angle )

c = 180° - 27

c = 153°

Now,

b = c ( vertically opposite angle )

b = 153°

Given that,

∠C = (6x-21)° and ∠A = (4x+11)°

To find,

Choose the correct option.

Solution,

For a parallelogram, the opposite angles are equal. ATQ,

(6x-21)° = (4x+11)°

Taking like terms together,

6x-4x = 21 + 11

2x = 32

x = 16

∠C = (6x-21)° = 6(16) -21 = 75°

So, ∠A = 75°

So, ∠A = ∠C = 75°. Hence, the correct option is (B).

The mass number of the atom is 4.

The mass number, also called atomic mass number or nucleon number, is the total number of protons and neutrons (together known as nucleons) in an atomic nucleus.

Therefore, the sum of protons and neutron in the nucleus of an atom is mass number of that atom.

Therefore, the atoms in the diagram has 2 electrons, 2 protons and 2 neutrons.

Notice the electrons revolving around the nucleus of an atom.

Therefore,

mass number = mass of neutron + mass of proton

mass number = 2 + 2

mass number = 4

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Answer: The human population in 1953 was 598 people.

The probability that the first grape candy chosen from the bag will be, at least, the third candy chosen overall is 0.5608.

To solve this problem, we need to use the probability formula:
P(at least third grape candy) = P(first candy is not grape) x P(second candy is not grape) x P(third candy is grape) + P(first candy is not grape) x P(second candy is grape) x P(third candy is grape) + P(first candy is grape) x P(second candy is not grape) x P(third candy is grape) + P(first candy is grape) x P(second candy is grape) x P(third candy is grape)

From the given information, we know that the probability of choosing a grape candy from the bag is 26%. Therefore, the probability of choosing a non-grape candy is 74%.

Using this information, we can substitute the values into the formula:

P(at least third grape candy) = 0.74 x 0.74 x 0.26 + 0.74 x 0.26 x 0.26 + 0.26 x 0.74 x 0.26 + 0.26 x 0.26 x 0.26

Simplifying this expression, we get:

P(at least third grape candy) = 0.4524 + 0.0508 + 0.0508 + 0.0068

P(at least third grape candy) = 0.5608

Therefore, the probability that the first grape candy chosen from the bag will be, at least, the third candy chosen overall is 0.5608.

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Answer:

y + 1 = (2/3)(x - 4) is the desired formula

Step-by-step explanation:

Start with the general point-slope formula y - k = m(x - h), where (h, k) is the given point and m is the given slope.

Given the point (4, -1), we substitute 4 for h in this general formula, -1 for k and 2/3 for m:

y + 1 = (2/3)(x - 4) is the desired formula.

The equation of the  line with a slope of 2/3 passing through the point (4, -1) should be considered as the \(y + 1 = (2/3)(x - 4)\)

Since

we know that

The formula for general point slope should be

y - k = m(x - h),

where (h, k) is the given point and m is the given slope.

Since the point (4, -1),

So here we substitute 4 for h in this general formula, -1 for k and 2/3 for m:

Therefore, The equation of the  line with a slope of 2/3 passing through the point (4, -1) should be considered as the \(y + 1 = (2/3)(x - 4)\)

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Answer:

(x+6)(x-2)

Step-by-step explanation:

using the x method, the only two numbers that multiply to get -12 and add to get 4 are 6 and -2

Answer:

(x+6)(x-2) A P E X :)

Answer:

56 cups

Step-by-step explanation:

If Mrs. Arsenault's dog needs 14 cups per 7 days, then we simply need to find how many "groups of 7 days" are in 28, and then multiply by 14, since for each of these 7 days, 14 cups are needed.

Dividing 28 by 7 results in 4, which we then multiply by 14 to get 56 cups which will be needed for 28 days.

I attached a diagram that further illustrates this point.

The surface area of the tissue box is 240 cm².

Option B is the correct answer.

We have,

The tissue box can be considered a triangular prism.

The formula for the surface area of the tissue box can be made as:

The perimeter of the triangular base x height of the box.

Now,

Perimeter

= 8 + 6 + 10

= 24 cm

And,

The surface area of the tissue box.

= 24 x 10

= 240 cm²

Thus,

The surface area of the tissue box is240 cm².

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Answer:

d = 76 m

Step-by-step explanation:

It is given that, the speed of 4 ft per second when it takes off and flies upward

We need to find how far away from the surface of the water will the seagull be after 9 seconds.

Speed is distance over time.

So,

Distance, d = vt

d=4 ft/s × 19 s

d=76 meters

So, the seagull will be at a distance of 76 m from the surface of water.

Answer:

62 minutes

Step-by-step explanation:

set up the equation

93=1.5m

62=m

If the function  f(x)= x-3, g(x) = x+3, and h(x) = 2x+1, the (gºnof)(x) = 2x - 2.

In this problem, we are given three functions f(x), g(x), and h(x), and we are asked to find the composition of g and f, denoted by g∘f.

The composition of g and f means applying f first, and then applying g to the result. So, (g∘f)(x) = g(f(x)).

We are given that f(x) = x - 3 and g(x) = x + 3. Therefore,

f(x + 3) = (x + 3) - 3 = x

g(x - 3) = (x - 3) + 3 = x

This means that g and f are inverse functions of each other. Thus, we have:

(g∘f)(x) = g(f(x)) = g(x - 3) = (x - 3) + 3 = x

Therefore, (g∘f)(x) = x.

To find (gºnof)(x), we first need to find nof:

nof = h o f = h(f(x)) = h(x - 3) = 2(x - 3) + 1 = 2x - 5

Now we can find gºnof:

gºnof = g o nof = g(nof(x)) = g(2x - 5) = (2x - 5) + 3 = 2x - 2

Therefore, (gºnof)(x) = 2x - 2.

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The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:

6.66 % per year.

Step-by-step explanation:

Hope it help you

Answer:

66 percent per year

Step-by-step explanation:

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Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

Answer:

(3 and 15)

Step-by-step explanation:

If the product of both of these two numbers needs to be a negative 45 then there are no pair of integers that comply with both requirements.

If the multiplication in the question is wrong and it is a positive 45 then the pair of integers that would comply with these requirements would be (3 and 15). Multiplying this pair together would give you 45 and the difference between them is also 12 meaning it complies with both requirements that were asked for in the question.

Answer:

-21.4

Step-by-step explanation:

0.15x + 0.2(0.15-5-x) = 0.1

0.15x + 0.03 - 1 - 0.2x = 0.1

0.15x - 0.2x = 0.1 -0.03 + 1

-0.05x = 1.07

0.05x = -1.07

x = -21.4

Answer:

no it is not a right triangle

Step-by-step explanation: