find the equation of each of the straight lines, given its gradient and the coordinates of a point on the line.
1. 2, (3,9) 2. 5, (1,8)

Answer:

-3,-2,-1,0,1

Step-by-step explanation:

Just replace x with the x value to find the y value

y=x-1

y=-2-1

y=-3

Y=-1-1

y=-2

y=0-1

y=-1

y=1-1

y=0

y=2-1

y=1

hopes this helps please mark brainliest

The 99% confidence limit will be option B which is (45, 55)

90% confidence limits for the population mean are (46,54)

mean = 46+54 / 2 = 50.

the margin of error E = 54-46/2 = 4

For 90% Confidence Z- Critical value is = 1.645

But the margin of error

E = ZS/√n

4=(1.645)S/√n

S/√n = 4 / 1.645

= 2.4316

For 95% confidence Z-critical value is 1.96

A 95% confidence interval is = mean ± E

(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316

= 50+ 4.7660

= 45.2340, 54.7660

= (45, 55)

Hence the correct option is B which is (45, 55) as the 99% confidence limit.

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Step-by-step explanation:

we have 11k + 4k.

this is like saying "I have 11 apples and then get 4 more apples - how many apples do I have ?"

in other words, how many "k" do I have ?

11 + 4 = 15.

we have 15k.

and then there is -3 + 8 = 5

so, the answer is

15k + 5

Answer:

15k + 5

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The expression is,

→ 11k - 3 + 4k + 8

Let's simplify the expression,

→ 11k - 3 + 4k + 8

→ 11k + 4k - 3 + 8

→ (11k + 4k) + (-3 + 8)

→ (15k) + (5)

→ 15k + 5

Hence, the answer is 15k + 5.

Answer:

1710 grams (not on the answer list)

Step-by-step explanation:

The total weight of the 4 packages is 3.8 pounds (lbs). The conversion factor is (0.45 kg/lb).

(3.8 lbs)*((0.45 kg/lb) = 1.71 kg or 1710 grams. Pease check the numbers provided.

The height of the rectangular vessel into which the volume of water that completely fills the cylindrical bucket is poured is approximately 25 centimeters

What is the relation between height and volume of a cylinder?

The volume of a cylinder is the product of the base area of the cylinder and the height of the cylinder.

Height of the cylindrical bucket, h = 50 cm

Radius of the bucket, r = 21 cm

The level of water in the cylindrical container = The container is filled completely with water

The shape of the vessel into which the water is poured = Rectangular vessel

Length of the rectangular vessel into which the water in the cylinder is poured, L = 63 cm

Breadth of the rectangular  vessel, B = 44 cm

Level to which the water fills the rectangular vessel = The rectangular vessel is completely filled with the water poured in from the cylinder

Volume of water in the cylinder, V = Volume of the cylinder = π·r²×h

Therefore;

V = π × 21² × 50 = 22050·π

The volume of water transferred from the cylinder = 22050·π cm³

Volume of the rectangular vessel, [tex]V_s[/tex] = L × B × H

[tex]V_s[/tex] = V = 22050·π cm³

Therefore;

The height of the rectangular vessel, H = [tex]V_s[/tex]/(L × B)

H = 22050·π/(63 × 44) = 24.9899415626 ≈ 25

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By using the concept of law of exponents,the required answers are: 5)  [tex]e^{-1} f^{-1}[/tex] and 8) [tex]b^{3}[/tex]

According to this law of exponents, exponents of numbers are added, subtracted, multiplied, and divided when numbers get multiply, divide, and number raised by another exponents.

Exponents are the power of numbers, which tells us how many time a number multiply by itself.

we have,

5)   [tex]\frac{ef^0}{e^2f}[/tex]

⇒  [tex]e^{1-2}f^{0-1}[/tex]

⇒  [tex]e^{-1} f^{-1}[/tex]

8)  [tex]a^{0}b^{6} b^{-3}[/tex]         ( [tex]a^{0}[/tex]=1 )

⇒  [tex]b^{6-3}[/tex]

⇒  [tex]b^{3}[/tex]

Hence, final answer are [tex]e^{-1} f^{-1}[/tex] and [tex]b^{3}[/tex]

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Looking at the triangles, the information needed to prove that ABC∼△DEF is AC = 10

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

Examining the figure shows that pair of equivalent sides are

AB and DE, BC and FE, then AC and DF

The solution is worked out using sides BC and FE, then AC and DF

BC / AC = FE / DF

8 / AC = 16 / 20

reducing the fraction 16/20 gives

8 / AC = 8 / 10

hence  AC = 10

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Answer:

ye it is I can't help sorry I need the points

3.  3.8 ft

5.  28

7.  .1

Step-by-step explanation:

5/20.5=15.5/x

solve for x

3.8

7/14=14/x

28

10/x=1/100

.1

The steps and reason to prove the angle theorems is; Table 3

The internal angles of the given triangle are given as;

a, b, c and d.

Now, we know that the sum of interior angles in a triangle is equal to 180°;

∠a + ∠b + ∠c = 180°

Now, ∠c and ∠d are angles that form a straight line and as such they sum up to 180° as they are supplementary angles.

∠c + ∠d = 180°

Thus, by transitive properties, we can say that;

∠a + ∠b + ∠c = ∠c + ∠d

Therefore by subtraction property of equality we have;

∠a + ∠b = ∠d

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The graph has no vertex

The transformations from the parent function are

The graph represents the given parameter

As a general rule, the maximum or the minimum of a graph is the vertex

However, the graph has no maximum or minimum

This means that there is absence of a vertex in the graph

Here, we have:

This transformation can be represented as (x - 4, y - 2)

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Step-by-step explanation:

these intercepts are the points where the graph intersects with the coordinate axes (x and y).

the x-intercept is a point on the x-axis, meaning when y = 0.

the y-intercept is a point on the y-axis, meaning when x = 0.

so, the x-intercept here is 14 at the point (14, 0).

the y- intercept is 7 at the point (0, 7).

that means the object started falling from a height of 7 meters and hit the ground after 14 seconds.

the falling speed was then

7 meters / 14 seconds = 0.5 meters / second

what are we talking about ? an asteroid with very little gravity ?

(a) Probability that third apple is red from three selected apple one after one is 22/23.

(b) Probability that exactly two of the three apples are red is 0.3012

In the question we have,

total number of apples in a box = 25

number of red apples in a box = 22

number of green apples in a box = 3

Now, three apples are selected at random,one after other without replacement and first two apples are green .

(a) Then number of apples remained in a box after two green apples withdraw = 23

probability that third apple is red = 22/23

(b) The following are possible number of sample spaces for exactly two of the three apples are red

where , R--> red apple and G--> green apple

For first sample space , RGR i.e first and last apples are red

probability that first and last apples are red from three withdraw apples or P(RGR) = 22/25× 3/24× 21/23 = 0.1004

similarly, P(RRG) = 22/25×21/24×3/23 = 0.1004

P(GRR) = 3/25×22/24×21/23 = 0.1004..

Probability that exactly two apples are red = P(RRG)+ P(RGR)+ P(GRR) = 3(0.1004) = 0.3012

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Answer:

Step-by-step explanation:

Answer:Yes, because the line that represents the first wall has a slope of -.25 and the line that represents the second wall has a slope of 4

Step-by-step explanation:

check the slope of both points

(-6,11.5) to (2, 9.5)  

11.5-9.5= 2

-6-2=-8

2/-8

m=-1/4

(-1, -2.5) to (2,9.5)

-2.5=9.5=-12

-1-2=3

-12/-3

m=4

Yes, because the line that represents the first wall has a slope of -.25 and the line that represents the second wall has a slope of 4

The amount that each person should pay is  $22.06   .

in the question ,

it is given that

total number of persons = 3 person + 1 = 4 persons

cost of the meal = $72.50

sales tax percent = 6.75%

tip percent = 15%

So , the amount of sales tax = 6.75% of cost = 0.0675 * 72.50 = $4.89

and , the amount of tip is = 15% of cost

= 0.15 * 72.50

= 10.87

So , the total amount payable is = cost + sales tax + tip

= 72.50 + 4.89 + 10.87

= 88.26

since the total number of persons is 4 ,

the amount per person is = 88.26/4 = 22.06

Therefore , The amount that each person should pay is  $22.06   .

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Answer:

x = -6

Step-by-step explanation:

x - 2 = x (4) + 16

x - 2 = 4x + 16

4x - x = -2 - 16

3x = -18

3/3 x = -18/3

x = -6

The greatest number of costumes the dance group can make is 15.

The mathematical operation that would be used to determine the answer is division. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

The first step is to determine the number of costumes that can be made given the total yards of black material.

Total costumes that can be made = total length available / length required for each costume

30 / 2= 15

The second step is to determine the number of costumes that can be made given the total yards of red material.

Total costumes that can be made = total length available / length required for each costume

60 / 3 = 20

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Answer x = 19/24

Step-by-step explanation:

Answer:

y=2·6^2

Step-by-step explanation:

Use formula y=a[tex]b^x[/tex], plug in two different points.

72=ab^2

12=ab^1

isolate one so that a is on one side

a=[tex]\frac{12}{b}[/tex]

plug in a into the other equation

72=[tex]\frac{12}{b}[/tex][tex]b^2[/tex]

72=[tex]\frac{12b^2}{b}[/tex]

72=12b

b=6

complete solving for a now

a=2

now put it back into [tex]y=ab^x[/tex]

y=2·6^2

Answer: 160

Step-by-step explanation:

because you times 40 by 4 as 4 is the first term and 4x10=40 <3

hope this helped <3

The principle investment necessary to obtain a total sum of $400.00 from simple interest at an annual rate of 8% for 8 years is $243.90.

Arithmetic operations is a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics. It consists mostly of operations like addition, subtraction, multiplication, and division. Arithmetic Operator is used to conduct mathematical operations on the supplied operands such as addition, subtraction, multiplication, division, modulus, and so on.

Here,

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year.

Solving our equation:

P = 400 / ( 1 + (0.08 × 8)) = 243.90243902439

P = $243.90

The principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 8 years is $243.90.

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The measure of missing line segments will be:

DG = 26; GE = 26; DF = 15; CH = 14; CE = 28

The centroid of a triangle is the place where the three medians of the triangle connect. It is sometimes defined as the point at where the three medians cross. A median line connects the middle of a side to the opposing vertex of a triangle. The centroid of a triangle is the point at where the triangle's three medians coincide (each median connecting a vertex with the midpoint of the opposite side).

Here,

IF If J is the centroid of CDE, this means that J divides CG, FE, DC, CE and DH into two equal parts.

The following expressions are therefore true

DG + GE = DE and DG = GE

Substituting

DG + DG = DE

2DG = DE

Given DE = 52

2DG = 52

DG = 52/2

DG = 26

Since DG = GE, hence GE = 26

Also DF + FC = DC and DF = FC

Since FC = 15, hence DF = 15

Also CH + HE = CE and CH = HE

Since HE = 14, hence CH = 14

CE = 14+14

CE = 28

The missing line segment count will be: DG = 26; GE = 26; DF = 15; CH = 14; CE = 28.

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Dominic is on the 8.75 mile of the bike path

From the question, the given parameters are:

The above parameters implies that

Dominic's position = 70% of the total distance

Represent the total distance with x

So, we have the following representation

Dominic's position = 70% * x

Where

x = 12.5

So, we have

Dominic's position = 70% * 12.5

Evaluate the products

Dominic's position = 8,75

Hence, Dominic's position is 8,75 miles

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Answer:

0.000065 km

Step-by-step explanation:

To get from cm to km you need to divide 6.5 by 0.000001 which equals 0.000065km

The value of x in the angle illustrated as (5x + 2)° and (4x + 6)° is 4

It is important to note that line m and line n are parallel. In the diagram, they also intersect each other.

Therefore, it should be noted that according to angle rule, (5x + 2) and (4x + 6) are alternate angles. In this case, they're equal.

These will be illustrated as:

5x + 2 = 4x + 6

Collect like terms

5x - 4x = 6 - 2

x = 4

Therefore, x is 4°.

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The coordinates of each image are G'(-2,9), and H'(1,-3).

What are the coordinates?

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y).

Here, we have

R₍₁₈₀°,₀ (GH)

H(-1,3)

G(2,-9)

Now we need to the rotation of 180°  about the origin.

By following the rule, we get,

(x , y) ⇒ (-x , -y)

After solving,

G(2,-9) ⇒ G'(-2,9)

H(-1,3)  ⇒ H'(1,-3)

Hence, the coordinates of each image are G'(-2,9), and H'(1,-3).

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Hello!

If Brad had a small gathering at a local steakhouse where they ordered 4 of the 6-ounce platters, 3 of the 8-ounce platters, and 2 of the 11-ounce platters. After adding an 18% gratuity their total before sales tax should have been $130.45

Step-by-step explanation:

[tex]4[/tex] x [tex]9.95=39.80[/tex]

[tex]3[/tex] x [tex]12.95=38.85[/tex]

[tex]2[/tex] x [tex]15.95=31.90[/tex]

[tex]31.90+[/tex][tex]38.85+[/tex][tex]39.80=[/tex][tex]110.55[/tex]

[tex]110.55[/tex] x [tex]0.18[/tex] [tex]=19.899[/tex]

[tex]110.55+19.90[/tex][tex]=130.45[/tex]

Answer:

D.4y−x=4

Step-by-step explanation:

Perpendicual lines have a slope that is the negative inverse of the referenced line.  The reference here is:

       y = -4x-5

The slope is -4

The negative inverse of -4 would be +(1/4).  Any line that has a slope of +(1/4) will be perpendicular to y=-4x+5.

The equations in the answer options are not arranged according to the standard format of y=mx+b, where m is the slope and b the y-intercept.

We could graph all the equations and look for the one(s) that are perpendicualr, but it might be safer, and faster, to rearrange them in the standard format, and then note the slope:

                                  Slope     =+(1/4)?

A. x+4y=-32  

    4y= -x-32

     y = -(1/4)x-8        -(1/4)           NO

B.4x+y=3

     y = -4x + 3            -4                NO

C.4x−y=−4

     y = 4x + 4             4                 NO

D.4y−x=4              

     4y=x+4               +(1/4)      <==YES

      y=(1/4)x+1    [Option D has a slope of +(1/4).  It will be perpendicular]

See the attached graph.