The terms grid, linear, quadrant, zone, and spiral are typically used to describe datum points. True or false?.

The value of K is 2 so that the point A lies on the line given by the equation A (2,1), 3x+ky=8.

Given: Equation is 3x+ky=8

Points A (2,1)

We need to determine the value for K

3x+ky=8   — 1 (Take as equation 1)

Substitute the points in equation 1

So, we take x = 2 and y = 1

3(2) +k (1) = 8

6+k = 8

k = 8 - 6

k = 2

When graphing points on a coordinate plane, it is often helpful to find the value of k that makes the point lie on a line. For this problem, k = 2 so that A (2,1), 3x+ky=8.

Hence, the value of K is 2 so that the point A lies on the line given by the

equation A (2,1), 3x+ky=8.

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The will meet after 2.5 hour.

To solve for distance use the formula for distance d = st, or distance equals speed times time.

distance = speed x time

Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time.

distance = rate x time

To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time.

speed = distance/time

To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.

time = distance/speed

let say they will meet after time t.

distance covered by first boat = velocity of boat × time= 8.5t

distance covered by second boat= 5.5t

distance between both boats = 35km.

by equating both the distance

35km = 8.5t+5.5t

35km = 14t

t= 35÷14 =2.5 hour= 9020.618 seconds.

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The area of the trapezoid is 24cm².

It should be noted that the area of a trapezoid is calculated as:

Area = h × (a + b//2

where h = height

Area = 4 × (4 + 8)/2

Area = 4 × 12/2

Area = 4 × 6

Area = 24cm²

The area is 24cm²

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[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{- \cfrac{3}{4}}(x-\stackrel{x_1}{8}) \implies y +1= -\cfrac{3}{4} (x -8) \\\\\\ y+1=-\cfrac{3}{4}x+6\implies {\LARGE \begin{array}{llll} y=-\cfrac{3}{4}x+5 \end{array}}[/tex]

Answer:

[tex]y_e = -\frac34x + 5[/tex]

Step-by-step explanation:

The equation of a line, if given its slope and one point that it passes through, is given by the formula [tex]y - y_1 = m(x - x_1)[/tex].

Therefore, we can substitute [tex]m = -\frac34[/tex], [tex]x_1 = 8[/tex] and [tex]y_1 = -1[/tex] into the formula above.

[tex]y - (-1) = -\frac34(x - 8)\\\\\to y + 1 = -\frac34x + 6\\\\\to y = -\frac34x + 5[/tex]

The average payment will be $611.64.

It should be noted that average means mean. This implies that we will add the numbers and then divide.

This will be:

= ($23.42 + $14.95 + $276.50 + $219.93 + $76.84) / 5.

= $611.64

Therefore, the average payment will be $611.64.

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Answer:

All these added amount to $611.64, yes.

However, to find average, you then divide by 6.

Which equals; $101.94.

That is the average payment.

Step-by-step explanation:

Hope it helps.

Let x be the number of weeks passed.

Denote by J(x) the money with Joe.

Denote by B(x) the money with his brother.

Denote by s(x) the money they raised together.

[tex]J(x)=assets+money \: raised \\ J(x)=170 + 20x[/tex]

[tex]B(x)=assets+money \: raised \\ B(x)=80+40x[/tex]

If we want Joe's brother to have more money at the x week, then B(x) has to be greater than J(x)

[tex]B(x) > J(x) \\ 80 + 40x > 170 + 20x \\ 40x - 20x > 170 - 80 \\ 20x > 90 \\ x > \frac{90}{20} \\ x > 4.5 \: \: \: so \: \: \: x = 5[/tex]

We know that at the 5th week, Joe's brother will have raised more money than Joe, but how much money did they raise together by then?

[tex]s(x) = B(x) + J(x) \\ s(5) = B(5) + J(5) \\ s(5) = 80 + 40(5) + 170 + 20(5) \\ s(5) = 80 + 200 + 170 + 100 \\ s(5) = 550 \: dollars \: raised[/tex]

Answer:

the number of times he washes the car

Step-by-step explanation:

ok

Step-by-step explanation:in

Answer:

1,000,000

Step-by-step explanation:

10 to the power of 3 is 1,000.

1,000 x 1,000 = 1,000,000

Answer:

1 Million

Step-by-step explanation:

Start with your exponents

[tex]\mathrm 10^3 = 10 \times 10 \times 10\\= 1,000[/tex]

Multiply

[tex]1,000 \times 1,000 = 1,000,000[/tex]

The area of the isosceles triangle is 60 square units

The formula for area of an isosceles triangle is expressed as;

Area = bh/2

Where;

Now, let's find the height of the triangle.

Using Pythagorean theorem, we have;

13^2 = 5^2 + h^2

Find the square

169 = 25 + h^2

collect like terms

169- 25 = h^2

h^2 = 144

Find the square root of both sides

h =√ 144

h = 12

Let's find the area

Area = 10 × 12/2

Area = 120/2

Area = 60 square units.

Thus, the area of the isosceles triangle is 60 square units

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Answer:

I believe the answer is 5(N+4) /5 = -15/5 . n = -3 - 4 = -7 

Step-by-step explanation:

[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \implies {\LARGE \begin{array}{llll} y = \stackrel{m}{-2} x\underset{b}{-4} \end{array}}[/tex]

The corresponding growth factor of +500% is 6

The formula for the annual rate of change is

                            1 ± r           (1)

where r = rate of change

and ± sign depends upon whether it is a growth or decay factor. If it is growth factor then it is plus sign otherwise negative sign.

According to the question we have been given the growth that is +500%. Since there is plus sign therefore it is a growth factor.

Thus, r = + 5

Putting this value in equation (1) we get

     = 1 + 5

     = 6

Hence the corresponding growth factor of +500% is 6

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The Image of the point W(7,3) after the translation is W'(5,6),hence the x-coordinate of the translated point is 5

Translation is used in co-ordinate geometry to find the co-ordinates of an image after moving the point from its original position.

The given point is W(7,3). The point is translated 2 units to the left and 3 units upwards. Hence the new coordinates of the point is given by:

W(7,3)→W'(5,6)

Therefore the x-coordinate of the translated point is 5.

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Using the simple interests, we can say that:

Amanda borrowed $4500 from her parents.Amanda borrowed $500 from the credit union.In the question, we are given that Amanda borrowed $5000 from two sources: her parents and a credit union. Her parents charged 5% simple interest and the credit union charged 6% simple interest.We are asked to calculate how much did she borrow from her parents, and how much did she borrow from the credit union, if after 1 year, she paid $255 in interest.We assume that Amanda borrows $x from her parents.Then we know that she would have borrowed $(5000 - x) from the credit union as the total borrowed amount was $5000.We know that the simple interest (S.I.) on $P, at the rate of r%, for a period of t years, is calculated as S.I. = Prt/100.Thus, for the amount she borrowed from her parents, the simple interest is, S.I. = (x)(5)(1)/100 = x/20.For the amount she borrowed from the credit union, the simple interest is,S.I. = (5000 - x)(6)(1)/100 = (30000 - 6x)/100 = 300 - 3x/50.Thus, the total interest Amanda needs to pay is x/20 + 300 - 3x/50 = 300 - x/100.But, we are given that the total interest Amanda pays is $255.Thus, we can write that 255 = 300 - x/100,or, x/100 = 300 - 255,or, x/100 = 45,or, x = 4500.Thus, the amount Amanda borrows from her parents = $4500.The amount she borrows from the credit union is $(5000 - 4500) = $500.Thus, Using simple interests, we can say that:Amanda borrowed $4500 from her parents.Amanda borrowed $500 from the credit union.

The expression that is the representation of the number of available tiles is (a) -6 - (-1)

Expressions are mathematical statements that are represented by variables, coefficients and operators

The representation of the tiles is given as

The above representation of tiles implies that:

The representation of the tiles is

Available tiles = Total number of tiles - (The number of tiles crossed out)

The above equation implies that:

Available tiles = -6 - (-1)

We do not need to evaluate the expression

Hence, the expression that is the representation of the number of available tiles is (a) -6 - (-1)

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The value of h(20) is 46 and the meaning in the context of the situation is that the balloon is at 46 feet after 20 seconds

The equation of the function is given as

h(t) = 2t + 6

For h(20), it means that t = 20

So, we have

h(20) = 2 * 20 + 6

Evaluate

h(20) = 46

Hence, the value of h(20) is 46 and the meaning in the context of the situation is that the balloon is at 46 feet after 20 seconds

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The probability of getting a total of more than 4 is 5/6.

So, formula: P = favorable events/total events

(Refer to the image attached below)

Insert values in the formula as:

Therefore, the probability of getting a total of more than 4 is 5/6.

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The subtraction equation is 100 + (-45.43) = 54.57 and the number line is as shown in the attachment.

We want to write a subtraction equation with a difference of 54.57. The difference of 54.57 can be gotten from;

\100 + (-45.43) = 54.57

Now, if we draw the number above in a number line, it would be exactly as shown image attached. By careful observation, the difference is between 45 and 100 which are both whole numbers, but the exact difference as seen in the the red space.

Therefore, the subtraction equation is 100 + (-45.43) = 54.57

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Answer:

D. y = -6x + 12

Step-by-step explanation:

(2, 0),   (0, 12)

(x₁, y₁)  (x₂, y₂)

        y₂ - y₁        12 - 0         12

m = ------------ = ------------ = ------- = -6

         x₂ - x₁         0 - 2         -2

y - y₁ = m(x - x₁)

y - o = -6(x - 2)

y = -6x + 12

I hope this helps!

Answer:

disagree because the outcome of the problem would be incorrect

Domain of f + g ( x) = R and f - g ( x) = R

Given :

F(x) = 2x^2 + 8  and g(x) = x-3

From this, we get to know that f(x) and g(x) assume real values for all values of x.

Hence, domain (f)= Real(R) and domain (g)= real ( R ) .

Therefore D (f) and D(g) are Real Number

Now,

A >   (f + g ) : R ----> R is given by (f + g) (x)

       = f(x) + g(x) = 2x^2 + 8 + x- 3

                             = 2x^2  + x + 5

Hence, domain ( f + g ) = Real ( R )

B >    (f – g) : R---> R is given by ( f-g ) (x)

= f(x) – g(x)  = 2x^2 + 8 – ( x – 3)

                    = 2x^2 -x + 11

Hence, domain ( f - g ) = Real ( R )  .          

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Answer:

9.25

Step-by-step explanation:

numbeer line is split into 4 things so 1/4 those things is 0.25

its .25 since its the first quarter

its adding 0.25 each dash so the next dash up would be 0.5 etc.

Since each response is distinct, the odds of correctly predicting each response is 1/3× 1/3× 1/3, or 1/27.

Probability is the ability to happen. The occurrence of random events is the subject of this branch of mathematics. The value is expressed as a number between 0 and 1.

For instance, when a coin is tossed into the air, a Head or Tail are two possible results.

Hence, the term "probability" is most commonly used to refer to the likelihood that a specific event (or group of events) will occur, either as a linear scale from 0 (impossibility) to 1 (certainty) or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.

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Answer:

Step-by-step explanation:

n x 5

The sum total Mrs. Harkins is going to spend is $ 10.36 + $1.87 + $ 3.88 which comes out to be $16.11

With the given information we can easily calculate the following

The cost of 4 tomato plants which can be calculated as mentioned cost of one tomato plant  in the question = 4× $2.59 = $10.36

The cost of a package of watermelon seeds as mentioned in the question  = $1.87

The cost of jalapeno plant as mentioned in the question = $3.88

The sum total Mrs. Harkins is going to spend  the sum total of cost of plant and seeds is $ 10.36 + $1.87 + $ 3.88 which comes out to be $16.11

Correct question is 5. Mrs. Hoskins is going to plant her new garden. She purchases 4 tomato plants for $2.59 each, a package of watermelon seeds for $1.87, and jalapeno plant for $3.88. How much will Mrs. Hoskins spend on seeds and plants for her new garden?

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Answer:

4 and 4

Step-by-step explanation:

i could be wrong but same length and size