Use the point and the slope to graph each line. Write the equation of the line :

The line passes through the point (1,-1) and is parallel to a line that has slope 1.
What is the equation of the line

Answer:

1-0.07/100*7=0.9951

Answer:

24p

Step-by-step explanation:

£1 - £0.52 = £0.48 ← cost of 2 oranges

cost of 1 orange = £0.48 ÷ 2 = £0.24

Answer:

2a+2b

Step-by-step explanation:

3a - a = 2a

4b - 2b = 2b

Answer:

2a+2b

Step-by-step explanation:

3a – a + 4b – 2b

Combine like terms

3a-a =2a

4b-2b =2b

3a – a + 4b – 2b. = 2a+2b

Answer:

12

Step-by-step explanation:

⇒ 21 - 3 = 18 = 1.5a

⇒ a = 12

Answer:

Mode = l + [(f₁ - f₀)/(2f₁ - f₀ - f₂)]h

Where, l is the lower limit of the modal class

f₁ is the frequency of the modal class

f₀ is the frequency preceding the modal class

f₂ is the frequency succeeding the modal class

h is the class size

From the table,

Maximum frequency = 41

This frequency lies in the class 10000 - 15000

l = 10000

h = 5000

f₁ = 41

f₀ = 26

f₂ = 16

Now, f₁ - f₀ = 41 - 26 = 15

2f₁ - f₀ - f₂ = 2(41) - 26 - 16

= 82 - 42

= 40

[(f₁ - f₀)/(2f₁ - f₀ - f₂)] = 15/40

= 3/8

Now, mode = 10000 + (3/8)(5000)

= 10000 + (15000/8)

= 10000 + 1875

= 11875

Answer:

42.0 ft

Step-by-step explanation:

let t be the height of the tree.

At the same time ,the measure of something

and its shadow are proportional .

Then

[tex]\frac{2}{6} =\frac{14}{t}[/tex]

Then

2t = 6 × 14

Then

2t = 84

Then

t = 84/2

Then

t = 42

Therefore the tree is 42 ft tall

Sir Yesuba took Rs 1600 from the bank.

Concept : Addition and subtraction from an unknown quantity which can be calculated easily using variables.

Given: The Amount given to son = 3/8x

The Amount given to daughter = 1/4x

Money left = Rs 600

Let the amount taken by him be equal to Rs x.

The Amount given to son = 3/8x

The Amount given to daughter = 1/4x

x - (3/8x + x/4) = 600

x- x/8 = 600

7x/8=600

x= Rs1600

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Answer:     0

Step-by-step explanation:

Answer:

34352.0

Step-by-step explanation:

Step-by-step explanation:

sin^-1√-3/2=300°

cos300°=0.5

The solution to the given inequality is; x ≥ -9/4 or x ≥ 1

We want to solve the inequality;

(4x² + 5x - 9)/(x² - x - 6) ≥ 0

Let us factorize both numerator and denominator to get;

4x² + 5x - 9 = (4x + 9)(x - 1)

Similarly, x² - x - 6 when factorized gives;

x² - x - 6 = (x + 2)(x - 3)

Thus, we now have;

[(4x + 9)(x - 1)]/[(x + 2)(x - 3)] ≥ 0

Multiply both sides by [(x + 2)(x - 3)] to get;

(4x + 9)(x - 1) ≥ 0

Thus;

(4x + 9) ≥ 0 or (x - 1) ≥ 0

Thus;

x ≥ -9/4 or x ≥ 1

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The proportional relationship graph that shows the situation is: Graph C.

A proportional relationship is defined as y = kx, where k is the constant of proportionality between x and y, and k = y/x.

Given the equation, M = 3n,

k = 3.

Thus, the graph that has a constant of proportionality (k) of 3, will correspond to the situation.

In graph C, using a point, (400, 1,200), we have:

k = 1,200/400

k = 3

Therefore, the graph that corresponds to the situation is: C.

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Answer:

the answer should be 9

Step-by-step explanation:

,look at a graph count from 0,-6 up to 0,3 . the distance between them is 9

Answer: 9

Step-by-step explanation:

let the two points P (0,3) and Q(0,-6)

We need to find distance PQ

PQ=[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

here

x1=x coordinate of P=0

y1=y coordinate of P=3

x2=x coordinate of Q=0

y2=y coordinate of Q=-6

Putting values

 [tex]PQ=\sqrt{(0-0)^2+(-6-3)^2}\\[/tex][tex]PQ=\sqrt{(0)^2+(-9)^2} \\PQ=\sqrt{81} \\PQ=9[/tex]

Answer:

first type: 144 pints

second type: 36 pints

Step-by-step explanation:

So let's try to interpret the given information. So the first thing to know is how to calculate x%, to calculate this, you simply multiply the number by x/100, which is what x is in decimal form.

So let's just start off by assigning variables to each brand, with the variable representing the amount of pints. Let's say "x" is the amount of pints of the first brand, and "y" is the amount of pints of the second brand.

The next thing to do is make equations using the given information. So we want a fruit drink that is 55% pure fruit juice, and it's 180 pints. So to find what 55% is, we multiply by 55/100 or 0.55. This means that 55% is 0.55(180) = 99. So using the given information this means that 99 pints is pure fruit juice in the mixture. This comes from mixing the first two brands, so that means if we take the pure fruit juice from the first brand and add it to the second brand we get 99, and remember we are given the information that 45% of the first brand is pure fruit juice and the second is 95%, this means that 0.45x is pure fruit juice in the first brand and 0.95y is pure fruit juice in the second brand. This sets up the following equation: [tex]99 = 0.45x + 0.95y[/tex]

The second equation to set up is using the total amount of pints. x represents how much is from the first brand, and y represents how much is from the second brand. Since the mixture consists of these two brands, and the mixture is 180 pints we can form the equation: [tex]180 = x+y[/tex]

The last step is to solve the systems of equations using the two equations we formed. This can be done via substitution. We simply need to solve for either x or y, in the total amount of pints equation and then substitute it into the pure fruit juice equation. In this example I'll solve for x

Original Equation:

[tex]180 = x+y[/tex]

Subtract y from both sides

[tex]180-y=x[/tex]

So now that we solved for y in terms of x we can substitute this into the pure fruit juice equation, so that we're only dealing with one variable.

Original Equation:

[tex]99 = 0.45x + 0.95y[/tex]

Substitute 180-y as x

[tex]99 = 0.45(180-y) + 0.95y[/tex]

Distribute the 0.45

[tex]99=81-0.45y+0.95y[/tex]

Add like terms

[tex]99=81+0.5y[/tex]

subtract 81 from both sides

[tex]18=0.5y[/tex]

Divide both sides by 0.5 (same thing as multiply by 2)

[tex]36=y[/tex]

This means we have to use 36 pints of the second brand. We can substitute this into either equation to solve for x, but it's easier to substitute into the total pints equation since there are no coefficients (technically a 1 in front, but it's kind of be ignored for now), so it's pretty straightforward to solve for x

Original Equation:

[tex]180=x+y[/tex]

Substitute 36 as y

[tex]180=x+36[/tex]

Subtract 36 from both sides

[tex]144=x[/tex]

This means 144 pints from the first brand and 36 from the second

The elements of (A n B)' are ( 3, 4 , 5 ,6). Option A

The elements of this set (A n B) explains the common elements  of both sets without repetition

Set A = 3, 4

Set B = 5, 6

A n B = 1, 2

(A n B)' = Is the elements both A and B in common but is not found in the universal set

(A n B)'  = ( 3, 4 , 5 ,6)

Thus, the elements of (A n B)' are ( 3, 4 , 5 ,6). Option A

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Answer:

the function is quadratic because it have (2) turning points which is a sign of the ax² in rhe quadratic equation (ax²+bx+c)

Answer:

Your answer should be around 10.7π cm³

Step-by-step explanation:

The surface area formula for a sphere is SA = 4πr^2. The volume formula for a sphere is V=4/3πr^3. Use the given SA to find the value of V.16π=4πr^2 Divide by 4π on both sides. 4 = r^2. r=2 Plug in 2 for r in the equation V=4/3πr^3. Your answer should be around 10.7π cm³

The number of motorbikes is 5

The given parameters are:

Motorbike = $945.50

Johnson = $5000.

The number of motorbikes is calculated as:

n = Johnson/Motorbike

So, we have:

n = 5000/945.5

Evaluate

n = 5.29

Remove the decimal

n = 5

Hence, the number of motorbikes is 5

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The country will achieve a blue PPC.

The Production Possibilities Curve (PPC) Sometimes called the production possibilities frontier (PPF) is a model used to show the tradeoffs associated with allocating resources between the production of two goods. The PPC can be used to illustrate the concepts of scarcity, opportunity cost, efficiency, inefficiency, economic growth, and contractions.

Due to the increase in resources of the country, the production capacity for both pineapple & coconut will increase as a result country's PPC will shift rightward/forward. And the country will achieve blue PPC.

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Using the normal distribution, it is found that 95.15% of students receive a merit scholarship did not receive enough to cover full tuition.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for the amounts are given as follows:

[tex]\mu = 3456, \sigma = 478[/tex]

The proportion is the p-value of Z when X = 4250, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{4250 - 3456}{478}[/tex]

Z = 1.66

Z = 1.66 has a p-value of 0.9515.

Hence 95.15% of students receive a merit scholarship did not receive enough to cover full tuition.

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Answer:

[tex]z=5[/tex]

Step-by-step explanation:

[tex]-\frac{3}{z}+\frac{7}{4z}=\frac{5}{z-25}\\\\\implies-\frac{12}{4z}+\frac{7}{4z}=\frac{5}{z-25}\\\\\implies-\frac{5}{4z}=\frac{5}{z-25}\\\\\implies125-5z=20z\\\\\implies25z=125\\\\\implies z=5[/tex]

Have a nice day, also mark brainliest please!

Answer:

708π in³ = 2224.25 in.³

Step-by-step explanation:

The composite solid is made up of a cone, a cylinder, and a half sphere.

Recall the volume formulas:

cone: πr²h/3

cylinder: πr²h

sphere: 4πr³/3

half sphere: (1/2) × 4πr³/3

We need to find teh heoght of the cone. The slant height is 10 in. The radius is 6 in. We can use the Pythaogorean theorem to find the height of the cone.

h = √(10² - 6²) = 8

total volume = π(6 in.)²(8 in.)/3 + π(6 in.)²(13 in.) + (1/2) × 4π(6 in.)³/3

total volume = π(96 in.³ + 468 in.³ + 144 in.³)

total volume = 708π in³ = 2224.25 in.³

Answer:

The x and y intercept are (20,0)

Step-by-step explanation:

2x-4y=40—eqn1

-x+2y=-20—eqn2

Make x the subject of eqn2

-x=-20-2y

x=20+2y

plug this into eqn 1

2(20+2y)+4y=40

40+4y+4y=40

8y=40-40

y=0

plug y=0 into eqn2

-x+2(0)=-20

-x=-20

x=20

Answer:

anticlockwise; reflection about x = 0; reflection about y = x - 1

Step-by-step explanation:

To get from A to A', we have to rotate anticlockwise. This rotation would take us around the coordinate plane from the first quadrant to the fourth quadrant to the third quadrant to the second quadrant. Clockwise about (0, -1) would not bring us to A'. To get from A' to A'', we to reflect across the line x = 0. As you can see in the image, the two triangles mirror each other across a vertical line in the center of them, and this vertical line would be x = 0 because both triangles are at least 1 unit away from it (they are equidistant from this line)

A single transformation that could map A onto A'' would be a reflection about y = x - 1. Both triangles happen to meet at this point so you might be able to visualize it. However, we can also test some points to see if this works. First, we can test the right-most point of A (which is the top-most point of A''). This point on A is (6, 0). If this point was reflected across y = x - 1, y would become 6 - 1 or 5, and since y = x - 1 is the same as x = y + 1, x would become 0 + 1 or 1. Indeed, the equivalent point on A'' is (1, 5).

The rate of change of the relationship is 6/5

The rate of change of a line is also known as the slope of the line. The formula for calculating the slope of a line is expressed as:

Slope =y2-y1/x2-x1

Given the coordinate points (-3,-2) and (2, 4). On substituting;

Slope = 4-(-2)/2-(-3)

Slope =4+2/2+3

Slope = 6/5

Hence the rate of change of the relationship is 6/5

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Answer:

bro wuts da answer am so lost yo

Answer: It's my understanding that the answer would be the last one - No, the container is not large enough.....new container is 960 cubic inches. I saw this answer marked on another website but not how to find the answer.

Step-by-step explanation:

Answer:

196cm²

Step-by-step explanation:

14*14=196

area = length of one side * the length of the other side

The cosine model is y = - 7 + 10 · cos (π · x/30 - π).

The sine model is y = - 7 + 10 · sin (π · x/30 - π/2).

Sinusoidal functions are periodic trascendent expressions which involves trigonometric functions. There are two kinds of sinusoidal functions:

[tex]y = A \cdot \cos (B\cdot x + C) + D[/tex]     (1)

[tex]y = A\cdot \sin (B\cdot x + C) + D[/tex]      (2)

Where:

First, we find the amplitude and the midpoint:

A = [3 - (- 17)]/2

A = 10

D = [3 + (- 17)]/2

D = - 7

Now we find the angular phase and the angular frequency for each model:

Cosine model (x, y) = (0, - 17), (x, y) = (30, 3)

- 17 = 10 · cos C - 7     (3)

3 = 10 · cos (30 · B + C) - 7      (4)

By (3):

- 10 = 10 · cos C

cos C = - 1

C = acos(- 1)

C = - π

And by (4):

3 = 10 · cos (30 · B - π) - 7

10 = 10 · cos (30 · B - π)

cos (30 · B - π) = 1

30 · B - π = acos 1

30 · B - π = 0

30 · B = π

B = π/30

The cosine model is y = - 7 + 10 · cos (π · x/30 - π).

Sine model

Obtain the sine model by using trigonometric expressions:

cos θ = sin (θ + π/2)     (5)

By (5):

y = - 7 + 10 · sin (π · x/30 - π + π/2)

y = - 7 + 10 · sin (π · x/30 - π/2)

The sine model is y = - 7 + 10 · sin (π · x/30 - π/2).

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The exponential function is often used to model the growth or decay of a population

The population size of the yeast cell after 3 hours is 6.24 million

The given parameters are:

a = 3.1M --- initial number of cells

r = 0.4425 per hour --- rate

The nth term of an exponential function is:

f(n) = a(1+r)^n-1

After 3 hours; n = 3

So, we have:

f(3) = a(1+r)^3-1

Substitute values for a and r

f(3) = 3.1 (1+0.4425)^3-1

f(3) = 3.1 ( 1.4425)^2

f(3) = 6.24

Hence, the population size of the yeast cell after 3 hours is 6.24 million.

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The solution of the equation are [tex]x = \frac{7 + \sqrt{61}}{6}[/tex] and [tex]x = \frac{7 - \sqrt{61}}{6}[/tex]

The equation is given as:

3x^2 - 7x- 1 = 0

The quadratic equation is represented as:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

So, we have:

[tex]x = \frac{7 \pm \sqrt{(-7)^2 - 4 *3 *-1}}{2*3}[/tex]

Evaluate the expression

[tex]x = \frac{7 \pm \sqrt{61}}{6}[/tex]

Expand

[tex]x = \frac{7 + \sqrt{61}}{6}[/tex] and [tex]x = \frac{7 - \sqrt{61}}{6}[/tex]

Hence, the solution of the equation are [tex]x = \frac{7 + \sqrt{61}}{6}[/tex] and [tex]x = \frac{7 - \sqrt{61}}{6}[/tex]

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