Write the slope-intercept form of the equation that passes through the point (2, 3) and is parallel to the line y = 5/8x - 7

Answer:

See the highlighted values below.

Step-by-step explanation:

The following right angled triangle will have an angle whose cosine is 5/13.

Hypotenuse = 13 and the 2 legs  will be 5 and 12 units long. The 12 is found using the Pythagoras theorem ( 13^2 = 5^2 + 12^2).

cos O = adjacent / hypotenuse = 5/13.

So sin O = opposite / hypotenuse = 12/13.

tan O =  opposite / adjacent = 12/5.

csc O = 1 / sin O =  13/12.

sec O = 1 /cos O = 13/5.

cot O = 1 / tan O = 5/12.

Answer:

a) 0.0139; b) 0.1809; c) 0.4278

Step-by-step explanation:

We use a normal approximation to a binomial distribution for these problems.

The sample size, n, for each is 30; p, the probability of success, is 0.808.  This makes the mean, μ = np = 30(0.808) = 24.24.  The standard deviation,

σ = √(npq) = √(30(0.808)(1-0.808)) = √(30(0.808)(0.192)) = √4.65408 = 2.1573

For part a,

We are asked for P(X < 20).  Using continuity correction to account for the discrete variable, we find

P(X < 19.5)

z = (19.5-24.24)/(2.1573) = -4.74/2.1573 = -2.20

Using a z table, we see that the area under the curve to the left of this is 0.0139.

For part b,

We are asked for P(X = 24).  Using continuity correction, we find

P(23.5 < X < 24.5)

z = (23.5-24.24)/2.1573 = -0.74/2.1573 = -0.34

z = (24.5-24.24)/2.1573 = 0.26/2.1573 = 0.12

Using a z table, we see that the area under the curve to the left of z = -0.34 is 0.3669.  The area under the curve to the left of z = 0.12 is 0.5478.  The area between them is then

0.5478-0.3669 = 0.1809.

For part c,

We are asked to find P(25 ≤ X ≤ 28).  Using continuity correction, we find

P(24.5 < X < 28.5)

z = (24.5-24.24)/2.1573 = 0.26/2.1573 = 0.12

z = (28.5-24.24)/2.1573 = 4.26/2.1573 = 1.97

Using a z table, we see that the area under the curve to the left of z = 0.12 is 0.5478.  The area under the curve to the left of z = 1.97 is 0.9756.  The area between them is 0.9756 - 0.5478 = 0.4278.

Answer:

A. seems to be the BEST choice from the information you have provided.

Answer:

A is the most practical answer with the info you have given

Step-by-step explanation:

To start off scaling is another way of saying resizing the numbers --

Example: "1" on paper means "10" in real life   --

To predict a product of a number/fraction using scaling, you would compare the size of a product on the basis of the size of the other.

Most scaling is used in maps or something to do with rulers

I hope this helps!!

Doubling the number every night will result in 4,194,304. How can that girl possibly sleep now with all those magic pennies?

Answer: The girl will have $524.288 (524,288 pennies) after 19 nights.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

So, we have to write an exponential expression where the initial value (a) is 1, the multiplicative rate of growth (b) is 2, and the time period (x) is 19.

Mathematically speaking: (where "y” is the total money)

y = ab×

y = 1 x (2) ∧19 = 524,288 pennies

Since 1 dollar = 100 pennies,

524,288 / 100 = $524.288

The girl will have $524.288 (524,288 pennies) after 19 nights.

1. subtract 47.5 from both sides

2. divide both sides by 4.5

3. 3

Just did in edg

Answer:

1. By substitution property of inequality

5(9.5)+4.5[tex]\leq[/tex]65

2. By using multiplication  in equality then we get

47.5+4.5x[tex]\leq[/tex]65

3. The five friends will have 3 snacks to split.

Step-by-step explanation:

Given

Five friends have total money= $65

Cost of each movie ticket= $9.50

Cost of each snack item= $4.50

Let ,five friends have total snacks = x

Total movie tickets=5

Because total number of friends=5

The inequality expressionis given by

I Step: [tex]5(9.5)+4.5x\leq 65[/tex]

Reason: By using substitution property of inequality

[tex]47.5+4.5x\leq 65[/tex

2. Step :[tex]4.5x[tex]\leq[/tex]65-47.5[/tex]

[tex]4.5x\leq 17.5[/tex]  ( by subtarction 47.5  from both sides)

[tex]x\leq \frac{17.5}{4.5}[/tex]   ( by dividing 4.5 on both sides )

Because they can buy maximum 3 snacks .

Beacause the number of snacks is natural number so we can't take in rational numbers.

The Answer is 0.0636 c

Answer: option a.

Step-by-step explanation:

 By definition we know that:

 [tex]log_a(a^n)=n[/tex]

Where a is the base of the logarithm.

 We also know that:

[tex]\sqrt{x}=x^{\frac{1}{2}}[/tex]

Then you can rewrite the logarithm given in the problem, as you can see below:

[tex]log_{17}(\sqrt{17})[/tex]

And keeping on mind the property, you obtain:

[tex]=log_{17}(17^{\frac{1}{2}})=\frac{1}{2}[/tex]

Therefore, you can conclude that the answer is the option a.

Answer:

The answer is 1/2 ⇒ answer (a)

Step-by-step explanation:

*The logarithm function is the inverse of the exponential function

- Ex: If 2³ = 8 ⇒  then [tex]log_{2}(8) = 3[/tex]

 Vice versa : If [tex]log_{5}(125)=3[/tex] ⇒ 5³ = 125

* In logarithm function:

- If [tex]log_{a}a=1[/tex] because [tex]a^{1}=a[/tex]

- If [tex]log_{a}a^{n}=(n)log_{a}a=n[/tex]

∵ [tex]log_{17}\sqrt{17}=log_{17}(17)^{\frac{1}{2}}[/tex]

- √b = [tex]b^{\frac{1}{2}}[/tex]

∴ [tex]log_{17}(17)^{\frac{1}{2}}=\frac{1}{2}log _{17}(17)=\frac{1}{2}(1) = \frac{1}{2}[/tex]

∴ The answer is 1/2 ⇒ answer (a)

Answer: [tex]\frac{y}{z^3}[/tex]

Step-by-step explanation:

To simplify the expression given in the problem, you must apply the proccedure shown below:

1- According the Exponents Rules, you know the following:

[tex]a^0=1\\\\a^{-n}=\frac{1}{a^n}[/tex]

2- Therefore, keeping the above on mind, you can simplify the expression given in the problem as you can see below:

[tex]x^0yz^{-3}=(1)yz^{-3}\\\\=yz^{-3}\\\\=y\frac{1}{z^3}\\\\=\frac{y}{z^3}[/tex]

Answer:

The length of the cut is [tex]17\ ft[/tex]

Step-by-step explanation:

we know that

To calculate the length of the cut apply the Pythagoras Theorem

Let

x----> the length of the cut (hypotenuse of a right triangle)

[tex]x^{2}=L^{2} +W^{2}[/tex]

substitute the given values

[tex]x^{2}=15^{2} +8^{2} \\ \\x^{2}= 289\\ \\x=17\ ft[/tex]

To find the length of the diagonal cut on the rectangular board, use the Pythagorean Theorem by square rooting the sum of the squares of the length and width. In this case, the cut will be 17 feet long.

A construction worker is cutting along the diagonal of a rectangular board 15 feet long and 8 feet wide.

To find the length of the cut:

Answer is letter D.

4/5

expression of 20 • 5â€2

Answer:

D. [tex]y=\frac{7}{2}x[/tex]

Step-by-step explanation:

We are asked to find the equation, which represents the direct variation that contains the ordered pair (2,7).

When two quantities are proportional to each other, they are in form [tex]y=kx[/tex], where, k represents constant of variation.

Upon substituting [tex]y=7[/tex] and [tex]x=2[/tex] in above equation, we will get:

[tex]7=k\cdot 2[/tex]

Let us solve for k by dividing both sides by 2:

[tex]\frac{7}{2}=\frac{k\cdot 2}{2}[/tex]

[tex]\frac{7}{2}=k[/tex]

Therefore, our required equation would be [tex]y=\frac{7}{2}x[/tex] and option D is the correct choice.

Answer:

but putting 24% in the calculator

Step-by-step explanation:

24% as a fraction: 6/25

24% as a mixed number: it just a fraction

24% as a whole number: 24

Answer:

  11.55

Step-by-step explanation:

SOH CAH TOA reminds you ...

  Tan = Opposite/Adjacent

The angle at lower left is the complement of 60°, so is 30°. Then the side x satisfies the equation ...

  tan(30°) = x/20

Multiplying by 20 gives ...

  20·tan(30°) = x ≈ 11.55

Answer:

10(32 - n)

Step-by-step explanation:

This is a beginning algebra question. It is trying to find out if you know what a difference is.

A difference always means subtract in math. Always. There are no exceptions.

So the difference between 32 and n is 32 - n

This difference is multiplied by 10

10(32 - n)

Usually the number mentioned first is the number put to the left of the subtract sign.

If you tell me the answer is 10(n - 32) then you should say that it is the difference between n and 32.

Answer:

Boys=420

336+420= 756

Step-by-step explanation:

The total number of girls and boys are at the concert will be 756.

Since the ratio of girls to guys at the concert is 4 to 5 and there are 336 girls at a concert, then the total girls and boys are at the concert will be:

= 336 / (4/9)

= 336 × 9/4

= 756

Therefore, the total girls and boys are at the concert will be 756.

Read related link on:

https://brainly.com/question/25705861

Answer:

D.2

Step-by-step explanation:

Slope is given by the ratio of change in y to change in x.

Taking two points on the table;

(-5, 15) and (1, 3)

Slope = (3-15)/ (1- (-5))

         = 12/6

         = 2

Answer:

A)  -2

Step-by-step explanation:

See the attached photo for explanation

Answer:

  a = -3/2

Step-by-step explanation:

You can set x=0 and solve for y to find the y-intercept in each case.

  first equation: y-intercept = -3/2

  second equation: y-intercept = a

To make these equal, we must have ...

  a = -3/2

Answer: [tex]=14a^3-21a^2+42a-35[/tex]

Step-by-step explanation:

You can multiply the polynomials by applying the Distributive property.

It is important to remember the Product of powers property, which states that:

[tex](b^a)(b^c)=b^{(a+c)[/tex]

Where b is the base and a and c are exponents.

It is also important to remember the multiplication of signs:

[tex](-)(-)=+\\(+)(+)=+\\(+)(-)=-[/tex]

Then:

Each term inside of the first parentheses must multiply each term inside of the second parentheses:

[tex](7a-7)(2a^2-a+5)=(7a)(2a^2)+(7a)(-a)+(7a)(5)+(-7)(2a^2)+(-7)(-a)+(-7)(5)\\\\=14a^3-7a^2+35a-14a^2+7a-35[/tex]

Finally, add like terms:

[tex]=14a^3-21a^2+42a-35[/tex]

If the room is 10 by 12 that means each wall is 10 by 12 (I'm assuming) so the area of each wall is 120 ft and since there are 4 of them the total area of the walls is 480 ft and if wallpaper costs 1.53 per ft, it costs 480 * 1.53 or $734.40

Hope this helps

Answer:

47°

Step-by-step explanation:

so a straight line is 180°

It gives us 82° for line D, so to find angle C, we must do 180° - 82° = 98 °

Hopefully you know that a triangle is also 180°

we know two angles: 35, 98

35° + 98° = 133°

180°-133°= 47°

47° is angle B

Answer:

m<B = 47°

Step-by-step explanation:

<ACD is a straight angle and this angle is exactly 180 degrees

As you know

<ACB + <BCD = <ACD

<ACB + 82 = 180

<ACB = 180 - 82

<ACB = 98°

Sum of interior angles in a triangle = 180°

So

<A + <B + <ACB = 180°

35° +<B + 98° = 180°

<B + 133° = 180°

<B = 180° - 133°

<B = 47°

Answer:

The slope is undefined.

Step-by-step explanation:

Slope formula:

[tex]\displaystyle \frac{Y_2-Y_1}{X_2-X_1}[/tex]

[tex]\displaystyle \frac{(-4)-4}{3-3}= \frac{-8}{0}=0[/tex]

Slope formula: y2-y1/x2-x1

= -4-4/3-3

= 0/0

= 0

Since the slope is 0 the line is straight.

Hope This Helped! Good Luck!

Answer:

true!! :)) please mark brainliest

Answer:

False

Step-by-step explanation:

The given inequality is [tex]-3\:<\:x\:<\:14[/tex].

The boundaries of the inequality are not inclusive.

We use the "()" to indicate that the interval is open.

The required interval notation is [tex](-3,14).[/tex]

Answer:

B

Step-by-step explanation:

The limit of quotient of two functions is the quotient of their limits, provided that the limit in the denominator function is not zero:

[tex]\lim_{x\to x_0}\dfrac{g(x)}{h(x)}=\dfrac{ \lim_{x \to x_0} g(x) }{ \lim_{x \to x_0} h(x) }, \text{ where }\lim_{x \to x_0} h(x)\neq 0.[/tex]

In your case,

[tex]\lim_{x \to 4} h(x)=-2\neq 0,[/tex]

then

[tex]\lim_{x\to 4}\dfrac{g(x)}{h(x)}=\dfrac{ \lim_{x \to 4} g(x) }{ \lim_{x \to 4} h(x) } =\dfrac{0}{-2}=0.[/tex]

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

bc IM JUICE WRLD

It’s the third one C)

Answer:

See attachment.

Step-by-step explanation:

The equation of the function is

[tex]y=-4x+7[/tex]

The slope of this function is

[tex]m=-4[/tex] and the y-intercept is [tex]c=7[/tex].

This implies that the graph of the straight line passes through (0,7).

Let us also find the x-intercept by putting y=0 into the equation.

[tex]0=-4x+7[/tex]

[tex]-7=-4x[/tex]

Divide through by -4.

[tex]\Rightarrow x=\frac{7}{4}[/tex]

Therefore the graph also passes through [tex](\frac{7}{4},0)[/tex].

We plot these two points and draw a straight line through them.

Answer:

(2, 8).

Step-by-step explanation:

(x - 2)^2 + (y - 6)^2 = 4

If x = 2 and y = 8 we have:

(2 - 2)^2 + (8 - 6)^2

= 0 + (2^2

= 4.

So it passes through the point (2,8).

The point through which the circle passes is:

                               (2,8)

The equation of the circle is given by:

[tex](x-2)^2+(y-6)^2=4[/tex]

We will check by putting each point in the equation and check which is equal to 4.

1)

(2,8)

when x=2 and y=8 we have:

[tex](2-2)^2+(8-6)^2=4\\\\i.e.\\\\0^2+2^2=4\\\\i.e.\\\\4=4[/tex]

Hence, the circle passes through the point (2,8).

2)

(5,6)

when x=5 and y=6 we have:

[tex](5-2)^2+(6-6)^2=4\\\\i.e.\\\\3^2+0^2=4\\\\i.e.\\\\9=4[/tex]

which is not true.

Hence, the circle does not pass through (5,6).

3)

(-5,6)

when x= -5 and y=6 we have:

[tex](-5-2)^2+(6-6)^2=4\\\\i.e.\\\\(-7)^2+0^2=4\\\\i.e.\\\\49=4[/tex]

which is not true.

Hence, the circle does not pass through (-5,6).

4)

(2,-8)

when x=2 and y= -8 we have:

[tex](2-2)^2+(-8-6)^2=4\\\\i.e.\\\\0^2+(-14)^2=4\\\\i.e.\\\\196=4[/tex]

Hence, the circle does not passes through the point (2,-8).

Answer:

  x² + y² = 1

Step-by-step explanation:

x and y are the leg lengths of a right triangle with hypotenuse 1. The Pythagorean theorem says the relationship is ...

  1² = x² + y²

___

Of course, 1² = 1.

Answer:

The width of the rectangle is 3 and the width is 9. Those are reasonable measurements.

Step-by-step explanation: