What is the slope and y-intercept of the line y=-3x + 7?
m=
b=

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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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: The answer is C.

Step-by-step explanation:

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]

log (6x) - 3 = -4 => x = 0.167, by properties of logarithm.

Now,

log (6x) - 3 = -4 => log (6x) = -1

Since the base of the logarithm taken generally is 10, raising both the sides by 10:

[tex]10^{log_{10}(6x)}=10^{-1}[/tex]

=> 6x = [tex]\frac{1}{10}[/tex]

=> x = [tex]\frac{1}{60} = 0.167[/tex] (approx.)

Hence, log (6x) - 3 = -4 => x = 0.167, by properties of logarithm.

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The value of the expression when b = -3 is 24

Functions can be defined as expression, rules or law that explains the relationship between two variables:

It is also important to note that the absolute value of a number is the distance of the number from zero irrespective of its direction in a number line.

Absolute value of a number must take a positive sign.

It is denoted with the symbol '| | '

Given the expression;

| -4b - 8 | + | -1 - b²| + 2b

Substitute the value of b as -3

We have;

|-4(-3) - 8| + |-1 - (-3)²| + 2(-3)

expand the bracket

|-12-8| + |-1 - 9| - 6

Take the absolute values

20 + 10 - 6

24

Thus, the value of the expression when b = -3 is 24

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Answer:

4 and 4

Step-by-step explanation:

i could be wrong but same length and size

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 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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[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]

[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]

If Mr. yuan wants to use his credit to pay off the full amount that another customer's balance, then he can pay off for Wenner.

Customer          Balance ($)

Girardi                -85.23

Lewis                  20.44

Stein                   116.33

Yuan                    13.50

Wenner               -9.85

As he got the balance of -9.85 and Mr. yuan got the balance of 13.50. About the above problem is based on financial literacy which is the ability to understand and make full of our financial skills. Some of the basics of financial literacy which we can have practical applications are such as budgeting, banking, handling credit and debt, and investing. Financial literacy is essential just to avoid higher levels of debt and to have enough income for retirement.

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Answer:

m<1=75 degree m<2=105degree

m<3=75 degree m<4=105 degree

Answer:

m∠1 = 75°

m∠2 = 105°

m∠3 = 75°

m∠4 = 105°

Step-by-step explanation:

Angles on a straight line sum to 180°

⇒ m∠1 + m∠2 = 180°

Given:

⇒ m∠2 - m∠1 + m∠1 = 30° + m∠1

⇒ m∠2 = 30° + m∠1

Substitute the found expression for m∠2 into the first equation and solve for m∠1:

⇒ m∠1 + m∠2 = 180°

⇒ m∠1 + 30° + m∠1 = 180°

⇒ m∠1 + 30° + m∠1  - 30° = 180° - 30°

⇒ m∠1 + m∠1 = 150°

⇒ m∠1 = 150° ÷ 2

⇒ m∠1 = 75°

As angles on a straight line sum to 180°, subtract m∠1 from 180° to find m∠2:

⇒ m∠2 = 180° - m∠1

⇒ m∠2 = 180° - 75°

⇒ m∠2 = 105°

Vertical Angles Theorem:  When two straight lines intersect, the opposite vertical angles are the same (congruent).

⇒ m∠3 = m∠1 = 75°

⇒ m∠4 = m∠2 = 105°

Radical functions are of the form f(x)=n√x.

If we want to find the inverse of a radical function, we will need to restrict the domain of the answer because the range of the original function is limited. Determine the range of the original function. Replace f(x) with y, then solve for x.

MORE: Radical - The √ symbol that is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol. Radical equation - An equation containing radical expressions with variables in the radicands.

To reverse that operation, you can find the square root of that power: In this case, the sign asks you to find which factor can be multiplied by itself twice to equal the expression inside the radical. (The expression inside the radical is also called the radicand.)

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The value of 983,512 × 1 will be 983,512 by using the multiplicative identity of multiplication.

We are given the expression:

983,512 × 1

We need to find the result after multiplication.

Multiplication is one of the basic operations of mathematics that is used to simplify the expression.

Here, we will use the property of multiplicative identity as the number is multiplied by 1.

By using this, we get that the result will be the same number as anything multiplied by 1 will always give the same number.

So, we get that:

= 983,512

Therefore, we get that, the value of 983,512 × 1 will be 983,512 by using the multiplicative identity of multiplication.

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Answer:

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

Step-by-step explanation:

Answer: She lost 10 points

Step-by-step explanation:

She loses 2 points per the wrong answer. Therefore, do 2 times 5. That gives you ten.

An integer is just a positive whole number btw!

I hope this helps!

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.

[tex] \implies - \frac{149}{20} \\ [/tex]

[tex] \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{5}{2} - \frac{21}{3} \times \frac{5}{7} )( \frac{13 \times 5}{26} + \frac{1}{2} )\\[/tex]

According to the Bodmas rule,

According to the question,

[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{5}{2} - \frac{21}{3} \times \frac{5}{7} )( \frac{13 \times 5}{26} + \frac{1}{2} ) \\[/tex]

[tex] \implies \: \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{5}{2} - \frac{21 \times 5}{3 \times 7} )( \frac{65}{26} + \frac{1}{2}) \\ [/tex]

[tex] \implies \: \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{5}{2} - \frac{105}{21} )( \frac{65}{26} + \frac{1}{2}) \\ [/tex]

[tex] \implies \: \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{(21 \times 5 )- (2 \times 105)}{42} )( \frac{(1 \times 65 ) + (13 \times 1)}{26} ) \\ [/tex]

[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( \frac{105 - 210}{42})( \frac{65 + 13}{26} ) \\ [/tex]

[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( - \frac {105}{42})( \frac{78}{26} ) \\ [/tex]

[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( - \frac {105 \times 78}{42 \times 26})\\ [/tex]

[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} + ( - \frac {8190}{1092})\\ [/tex]

[tex] \implies \frac{ \frac{ \frac{17}{60} }{17} }{3} - \frac {8190}{1092}\\ [/tex]

[tex] \implies \frac{17}{60} \times \frac{3}{17} - \frac{8190}{1092} \\ [/tex]

[tex] \implies \frac{17 \times 3}{60 \times 17} - \frac{8190}{1092} \\ [/tex]

[tex] \implies \frac{51}{1020} - \frac{8190}{1092} \\ [/tex]

[tex] \implies \: \frac{(91 \times51) -(85 \times 8190) }{92820} \\ [/tex]

[tex] \implies \: \frac{4641 -696150 }{92820} \\[/tex]

[tex] \implies \: - \frac{691509 }{92820} \\[/tex]

[tex] \implies \: - \frac{691509 \div 4641 }{92820 \div 4641} \\[/tex]

[tex] \implies - \frac{149}{20} \\ [/tex]

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 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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Answer:

c.) 6√3

Step-by-step explanation:

This can be solved using both sine and cosine rule.

1st method:

[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\sf sin(60) = \dfrac{long \ leg}{12}[/tex]

[tex]\sf long \ leg= 12sin(60)[/tex]

[tex]\sf long \ leg= 6\sqrt{3}[/tex]

2nd method:

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]\sf cos(30) = \dfrac{long \ leg}{12}[/tex]

[tex]\sf long \ leg= 12cos(30)[/tex]

[tex]\sf long \ leg=6\sqrt{3}[/tex]

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 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:

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!

ok

Step-by-step explanation:in

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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Answer:

Answer: ∠1 = 109°    ∠2 = 71°

Step-by-step explanation:

If the two angles form a linear pair, then their sum is 180°

 ∠1      +     ∠2     = 180°

(5x + 9) + (3x + 11) = 180

             8x + 20  = 180

             8x          = 160

               x          = 20

∠1 = 5x + 9

   = 5(20) + 9

   = 100   + 9

   = 109

∠2 = 3x + 11

    = 3(20) + 11

    =    60  + 11

    =         71

 CHECK:

∠1   + ∠2 = 180°

109° + 71° = 180°

    180°   = 180°  

Step-by-step explanation:

hope it helps

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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