The value of y when x=7

Answer:

a) is -7

Step-by-step explanation:

8=2048[tex](2)^{n-1}[/tex]

[tex]\frac{8}{2048} =\frac{2048^{n-1} }{2048}[/tex]

8/2048=0.00390625 = [tex](2)^{n-1}[/tex]

[tex]2^{-8}[/tex] = 0.00390625

-8-1=-7

and do the rest with the same equation which is tn=a[tex]r^{n-1}[/tex]

Answer:

q = 7

Step-by-step explanation:

4q + 9 = 37

If a letter and a number are together it means multiply.

Substitute 7 into the equation:

4(7) + 9 = 37

28 + 9 = 37

So q must equal 7

Answer:

Bobs Data: range from 2 to 8

Rosa Data range from 4 to 7

Step-by-step explanation:

Answer:

54 = 2 x 27

the cube root of 27 is 3.

the answer is C

Step-by-step explanation:

Answer:

The perfect cube is 27 and the perfect cube root is 3

Step-by-step explanation:

( 54) ^ 1/3

( 27*2) ^ 1/3

(27) ^1/3 * (2)^1/3

3 * (cube root of 2)

The perfect cube is 27 and the perfect cube root is 3

Answer:

[tex]\dfrac{2}{11}[/tex]

Step-by-step explanation:

It is given that a card is drawn one at a time from a well-shuffled deck of 52 cards.

Total repetitions of this experiment = 11

Number of kings in the experiment = 2

Let E is the event in which a king is drawn in the 11 trials. So

[tex]P(E)=\dfrac{\text{Number of kings in the experiment}}{\text{Total repetitions of this experiment}}[/tex]

[tex]P(E)=\dfrac{2}{11}[/tex]

Therefore, the experimental probability P(E) is [tex]\dfrac{2}{11}[/tex].

Answer:

20,951

Step-by-step explanation:

If the company sold 21,00 ovens and this year they sold 49 fewer, then that means we are being told to subtract 49 from 21,00 which is the initial value.

21,000-49 = 20,951

therefore, this year they sold 20,951 (twenty-thousand nine hundred fifty one) ovens.

Answer:

20,951 ovens

Step-by-step explanation:

Last year, the company sold 21,000 ovens. This year, they sold 49 fewer ovens that that.

Fewer, means less, or subtractions. Therefore; we must subtract 49 (the difference between this year and last year) from 21,000 (the number of ovens sold this year)

21,000-49

20,951

The company sold 20,951 ovens this year.

Answer:

First find f(g(x))

= 2(x²)-3

= 2x² -3

f(g(3)) = 2(3)² -3

= 2(9) - 3

= 18 - 3

= 15

Hope this helps.

Answer:

f(x)=6 and g(x)=6

Step-by-step explanation:

This is going to look crazy but try to follow along. I did a similar equation and got the answer correct.

1. find g(x)

2. x=3*  

3.   g(3)=3·2

4. x=6

Wherever there is an x put the number 3.....ONLY for g(x)

* ONLY in g(x)

4. Solve for f(x)

Since the equation for f(x) is f(g(3)) and the answer in g(x) was 6 wherever there is an x in the equation f(x)=2x-3 put the number 6

5. f(6)=2·6-3

6.f(x)=2·3

7.f(x)=6

Answer:

Step-by-step explanation:

hello,

I understand that there are only 4 cards  and then the player draw a card out of the 4 cards, replace it so the second draw is still out of the 4 cards

How many ways can you draw two cards?

as the first card is replaced, this is 4*4=16

so there is 16 possibles ways

hearts hearts

hearts clubs

hearts diamonds

hearts spades

clubs hearts

clubs clubs

clubs diamonds

clubs spades

diamonds hearts

diamonds clubs

diamonds diamonds

diamonds spades

spades hearts

spades clubs

spades diamonds

spades spades

out of these 16 ways, how many have same colour for both cards?

I assume that there are only two colours Red and Black, so we can have

only 8 ways so the first probability is 8/16 = 1/2

out of these 16 ways, how many are red ace first and black ace?

There are 4 ways so the probability is 4/16 = 1/4

hope this helps

Standard deck has aces in four colors

Player draws one from four so the probability of drawing any first card is 1/4 (in the first drawing)

We replace the card so in second drowing its the same

So the probability of drawing two card of one chosen color is 1/4*1/4, and we have four colors

The probability of drawing two card of the same color is:

There are 2 red aces and 2 black aces

(sorry for coments - not reading carefully)

So a probability of drawing red ace in first drawing is 2/4=1/2

a probability of drawing black ace in second drowing is the same ('cause we replace the one drawn first)

So the probability that a red ace is drawn first and then the black ace is:

Answer:

a) 5.83 cm

b) 34.4 deg

Step-by-step explanation:

a)

AC is the hypotenuse of a right triangle with legs measuring 3 cm and 5 cm.

c^2 = a^2 + b^2

c^2 = 3^2 + 5^2

c^2 = 9 + 25

c^2 = 34

c = sqrt(34) cm = 5.83 cm

b)

Triangle ACD is a right triangle with right angle DAC.

AD = 4 cm

AC = 5.83 cm

tan <ACD = opp/adj

tan <ACD = AD/AC

tan <ACD = 4/5.83

m<ACD = tan^-1 (0.68599)

m<ACD = 34.4 deg

The side length AC is 5.83 cm and angle ACD is 34.5 degrees

(a) Length AC

To do this, we make use of the following Pythagoras theorem in triangle ABC

[tex]\mathbf{AC^2 = AB^2 + BC^2}[/tex]

So, we have:

[tex]\mathbf{AC^2 = 3^2 + 5^2}[/tex]

[tex]\mathbf{AC^2 = 9 + 25}[/tex]

[tex]\mathbf{AC^2 = 34}[/tex]

Take square roots

[tex]\mathbf{AC = 5.83}[/tex]

(b) Angle ACD

To do this, we make use of the following tangent ratio

[tex]\mathbf{tan(C) = \frac{AD}{AC}}[/tex]

So, we have:

[tex]\mathbf{tan(C) = \frac{4}{5.83}}[/tex]

[tex]\mathbf{tan(C) = 0.6861}[/tex]

Take arc tan of both sides

[tex]\mathbf{C= 34.5}[/tex]

Hence, side length AC is 5.83 cm and angle ACD is 34.5 degrees

Read more about cuboids at:

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Answer:

The answer is 3√5 mi.

The formula is: d = √(3h/2)

Wyatt:

h = 120 ft

d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi

Shawn:

h = 270 ft

d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi

How much farther can Shawn see to the horizon?

Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi

Answer:

its b

Step-by-step explanation:

i just did it

Answer:

directrix

Step-by-step explanation:

The parabola is equidistant from the line called the directrix

and from a point called the focus

Answer:

The answer is B.

Answer:

62.363°

Step-by-step explanation:

The decimal form of degree is 62.363°.

Geographic coordinates for latitude and longitude can be expressed as decimal fractions of a degree using the notation decimal degrees (DD). Many geographic information systems (GIS), web mapping tools like OpenStreetMap, and GPS units all employ DD.

Latitudes that are positive are north of the equator and those that are negative are south of the equator. Longitudes that are positive are east of the Prime Meridian and those that are negative are west of the Prime Meridian.

Given 62°21'47"

A DMS value is converted to decimal degrees using the formula:

[tex]{\displaystyle \mathrm {D} _{\text{dec}}=\mathrm {D} +{\frac {\mathrm {M} }{60}}+{\frac {\mathrm {S} }{3600}}}[/tex]

D = 62°

M = 21'

S = 47"

substitute the values,

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62 + 21/60 + 47/3600

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62 + 0.35 + 0.01305

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62.3630

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62.363°

Hence the decimal form is 62.363°.

Learn more about decimal degrees;

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Answer:

A+B+C+D = 13

Step-by-step explanation:

The given expression is:

[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}}[/tex]

We have to simply it and express it in the form of:

[tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]

Multiply and divide the given expression with [tex]2-\sqrt 3[/tex]:

[tex]\dfrac{1+\sqrt{2}}{2+\sqrt{3}} \times \dfrac{2-\sqrt 3}{2-\sqrt 3}\\\Rightarrow \dfrac{(1+\sqrt{2}) \times (2-\sqrt 3)}{(2+\sqrt{3})\times (2-\sqrt 3)}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{2^2-(\sqrt{3})^2}\\\Rightarrow \dfrac{2+2\sqrt2-\sqrt3-\sqrt6}{4-3}\\\Rightarrow \dfrac{2(1+\sqrt2)-(\sqrt3+\sqrt6)}{1}\\\Rightarrow 2(1+\sqrt2)-(\sqrt3+\sqrt6)[/tex]

It is the simplified form of given expression.

Formula used:

[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]

Comparing the simplified expression with [tex]A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})[/tex]

[tex]2(1+\sqrt2)-(\sqrt3+\sqrt6)=A(1+\sqrt{B})-(\sqrt{C}+\sqrt{D})\\\Rightarrow A =2, B=2, C=3\ and\ D=6[/tex]

So, value of

[tex]A+B+C+D = 2+2+3+6 = 13[/tex]

Answer:

y = -2 x +3

Step-by-step explanation:

If the slope must be "-2", then the slope intercept form of the line should look like;

y = m x + b

with the slope "m" = -2

That is:

y = -2 x + b

Now the constant "b" can be found using the info on the value of the y-intercept which is (0, 3), so when x = 0, the value of the y-coordinate must be 3. By imposing this condition into the equation, we can find the value of "b":

3 = -2 (0) + b

3 = b

Then the equation becomes:

y = -2 x +3

Answer:

32%

Step-by-step explanation:

Got it right on the quiz.

Pls give me brainliest

Answer:

32%

Step-by-step explanation:

Answer:

Yes the new method if sample size was less than 20 than that of old method or identical sample numbers of old and new the differences still prove the new operation is better. As 88 patients minus 1% still shows us 76.7475 significance of  old method being low point 67.5 = 30% of 225 and proved a 65.25 low point and 69.75 high point which is also a 20% jump to new methods low point significance.

You cna show this as workings to prove or follow any of the below statements.

Where new method of 88 patients -0.01 significance rate stands at 76.7475. This figure has reduced by 11.2525 from 88 patients to 76.7 we compare this to the old method if reversing significance we find  = 62.5 and it's 30% standing value of 67.5  as +1% increase shows us 31% = 69.7  ( 0.31 x 225 = 69.74)

Step-by-step explanation:

88/225  = 0.39111111111 = 39.11%%

P value 01 = 1%  =  225.225 or 5% range of alternative hypotheses.

To graph the P value we take the distance between the sample mean and the null hypothesis value (225 + 1% of sample - x nhv) = y ). We can graph the probability of obtaining a sample mean  (225 +/- ( x +1% of sample) where nhv has a decimal if needed to utilize the 1% added). we would replace nvp in this example with  Ha or H1 which means the alternative hypotheses as the data shows less than or equal to.

We can then show 225.225 -  Ha or H1  then graph the probability of obtaining a sample mean that is at least extreme in both tails  Ha or H1

However it would be the other way round where you take the first set of data and use the sample as the 30% significance of that sample indicates it may be a larger sample or a higher significance. Therefore this would be used in the graphing - 1%

We prove that 30-1 =29  where 29% of 225 = 225 x 0.29 = 65.25

this way we have proved that the new set of data being equal to 88 patients regaining their eyesight is <23 and can be written like this 65.25< x <88

This means that sample mean has taken the 1% to show on the graph we can show 225> 33.11 +1 .

We can prove that both indifference of significance would reduce when 1% is added and close based on being a higher percentage to begin with.

34.11 = 0.3411 x 225 = 76.7475 for second surgeon = 33.11% +1

Where as shown

30 = 0.3 x 225 = 67.5

76.5475 - 67.5 = 9.04 difference when comparing old method = +1%

where new method stands at 76.7475 has reduced by 11.2525 from 88 patients and where old method if reversing = 62.5 and has reduced from 67.5  as +1% and 31% = 69.7  ( 0.31 x 225 = 69.74)

You would therefore graph each higher methods first if comparing both by 0.01 or show 88 on graph and 76.7475 = +1%

NB/ if sample size was 20 more in the old data then 225+20 = 245 x 0.29 = 71.05 and would still be lower than new data. = 2.0 increase level of significance and not relevant unless you are looking for the decrease which means new is greater than 20% success than that of old method findings where 30% = 67.5.

Answer:

1.777777778

Step-by-step explanation:

hope that helps!

Answer:

16/9 or 1 2/9

Step-by-step explanation:

the fraction bar means divison

Answer:

64.21

Step-by-step explanation:

After performing some simple mathematical operations, we know that 6.421 x 10 = 64.21.

So, 6.421 x 10 = ?:

Evaluate as follows:

Therefore, after performing some simple mathematical operations, we know that 6.421 x 10 = 64.21.

Know more about mathematical operations here:

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The correct question is given below:

Multiply. 6.421 x 10 = _____

A. 0.6421

B. 64.21

C. 642.10

D. 6,421

Answer:

Both lines are equal (they are the same)

Step-by-step explanation:

Given

[tex]3y - 8 = -5x[/tex]

[tex]6y = -10x + 16[/tex]

Required

What is true about graph of both lines

Questions like this are better solved when there's option(s) to select from. However, some of the properties of line equation that I'll consider are to check  if both lines are either parallel or perpendicular

To do this,

The first thing to do is to calculate the slope of both lines

[tex]3y - 8 = -5x[/tex]

Add 8 to both sides

[tex]3y - 8 + 8 = -5x + 8[/tex]

[tex]3y = -5x + 8[/tex]

Divide both sided by 3

[tex]\frac{3y}{3} = -\frac{5x}{3} + \frac{8}{3}[/tex]

[tex]y = -\frac{5x}{3} + \frac{8}{3}[/tex]

The slope of the line is the coefficient of x;

[tex]Slope = -\frac{5}{3}[/tex]

Solve for the y intercept; Let x = 0

[tex]y = -\frac{5 * 0}{3} + \frac{8}{3}[/tex]

[tex]y = 0 + \frac{8}{3}[/tex]

[tex]y = \frac{8}{3}[/tex]

Solve for the x intercept; Let y = 0

[tex]0 = -\frac{5x}{3} + \frac{8}{3}[/tex]

Subtract [tex]\frac{8}{3}[/tex] from both sides

[tex]0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}[/tex]

[tex]- \frac{8}{3} = -\frac{5x}{3}[/tex]

Subtract both sides by [tex]-\frac{3}{5}[/tex]

[tex]-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}[/tex]

[tex]-\frac{3}{5}*- \frac{8}{3} = x[/tex]

[tex]\frac{3}{5} * \frac{8}{3} = x[/tex]

[tex]\frac{8}{5} = x[/tex]

[tex]x = \frac{8}{5}[/tex]

------------------------------------------------------------------------------------------------------

[tex]6y = -10x + 16[/tex]

Divide both sides by 6

[tex]\frac{6y}{6} = -\frac{10x}{6} + \frac{16}{6}[/tex]

[tex]y = -\frac{10x}{6} + \frac{16}{6}[/tex]

Simplify fractions to lowest term

[tex]y = -\frac{5x}{3} + \frac{8}{3}[/tex]

The slope of the line is the coefficient of x;

[tex]Slope = -\frac{5}{3}[/tex]

Solve for the y intercept; Let x = 0

[tex]y = -\frac{5 * 0}{3} + \frac{8}{3}[/tex]

[tex]y = 0 + \frac{8}{3}[/tex]

[tex]y = \frac{8}{3}[/tex]

Solve for the x intercept; Let y = 0

[tex]0 = -\frac{5x}{3} + \frac{8}{3}[/tex]

Subtract [tex]\frac{8}{3}[/tex] from both sides

[tex]0 - \frac{8}{3} = -\frac{5x}{3} + \frac{8}{3} - \frac{8}{3}[/tex]

[tex]- \frac{8}{3} = -\frac{5x}{3}[/tex]

Subtract both sides by [tex]-\frac{3}{5}[/tex]

[tex]-\frac{3}{5}*- \frac{8}{3} = -\frac{5x}{3} * -\frac{3}{5}[/tex]

[tex]-\frac{3}{5}*- \frac{8}{3} = x[/tex]

[tex]\frac{3}{5} * \frac{8}{3} = x[/tex]

[tex]\frac{8}{5} = x[/tex]

[tex]x = \frac{8}{5}[/tex]

-------------------------------------------------------------------------------------------------------

By comparing the slope, x intercept and y intercept of both lines;

It'll be observed that they have the same slope, x intercept and y intercept

This implies that both lines are equal; in other words, they are the same.

Answer:

Parallelogram

Step-by-step explanation:

When I graphed these points on a coordinate plane and connect the points, I see a parallelogram.

PLZ MARK BRAINLIEST!!!

Answer:

x= 70

Step-by-step explanation:

This question needs an attachment; see attached

Given

ABD = 55

Required

Find x?

In the figure shown in the attachment, angle b and ABD are alternate interior angles;

From parallel and perpendicular line theorems; alternate interior angles are equal.

This implies that <b = 55

Also; when a rectangle is divided by two diagonals, the resulting triangles are isosceles triangles;

where 2 sides and 2 angles are equal;

This implies that <b = <c = 55

Sum of angles in a triangle  = 180;

So,

<x + <b + <c = 55

x + 55 + 55 = 180

x + 110 = 180

Subtract 110 from both sides

x + 110 - 110 = 180 - 110

x = 180 - 110

x = 70

Answer: $106,700

Step-by-step explanation:

y = money amount

x = months

Slope (m) = change in y / change in x = (68000-25000) /(23-3)= 43,000/20= 2,150

Now, we have to write the equation in the form y =mx+b, using one of the points:

25000= 2,150(3) +b

25,000= 6,450+b

25,000-6,450=b

18,550=b

So, the final equation is:

y = 2,150x+18,550

So, when x=41 months

y = 2,150(41)+18,550

y= $106,700

Feel free to ask for more if needed or if you did not understand something.

Answer:

15/28

Step-by-step explanation:

3 3/7 ÷ 6 2/5

Change to improper fractions

(7*3+3)/7 ÷ (5*6+2)/5

24/7 ÷32/5

Copy dot flip

24/7 * 5/32

Cancel an 8 from the numerator and denominator

3/7 * 5/4

15/28

Answer: 15/28

Explanation: First write each mixed number as an improper fraction.

As a quick review, to write a mixed number as an improper fraction,

we multiply the denominator times the whole number,

then we add the numerator.

First rewrite 3 and 3/7 as 24/7 and 6 and 2/5 as 32/5.

So we have 24/7 ÷ 32/5.

Dividing by a fraction is the same as multiplying by its reciprocal.

In other words, we can change the division

sign to multiplication and flip the second fraction.

So 24/7 ÷ 32/5 can be rewritten as 24/7 × 5/32.

Before multiplying, noice that the 24 and 32 cross-cancel to 3 and 4.

So we have 3/7 × 5/4 which is 15/28.

Answer:

Ishaan is 15 years old.

Solution,

Let the age of Ben be X and ishaan be y.

Now,

X=4y

Six years ago,

[tex]x - 6 = 6(y - 6) \\ or \: x - 6 = 6y - 36 \\ or \: x - 6y = - 36 + 6 \\ or \: x - 6y = - 30[/tex]

Put the value of X

i.e X=4y

[tex]or \: 4y - 6y = - 30 \\ or \: - 2y = - 30 \\ or \: y = \frac{ - 30}{ - 2} \\ y = 15[/tex]

hope this helps..

Good luck on your assignment....

Start by setting up a chart based on age now

and age 6 years ago for Ben and Ishaan.

Since Ben is 4 times as old as Ishaan, use x to represent

Ishaan's age now and 4x to represent Ben's age now.

Ishaan's age 6 years ago would then be x - 6 and Ben's

age 6 years ago would be 4x - 6.

Now that your chart is filled out, read through the

second sentence of the problem to setup the equation.

Since the second sentence starts with 6 years ago,

we're going to be using the information in the

second column of our chart to setup the equation.

So 13 years ago, Ben, 4x - 6, was, equals,

6 times as old as Ishaan, 6(x - 6).

So we have the equation 4x - 6 = 6(x - 6).

Solving from here, we find that x = 15.

Steps are attache din the image provided.

Going back up to the chart, x represents Ishaan's age now.

So Ishaan is 15 years old now.

Answer:

Correct option: 1) 2600

Step-by-step explanation:

The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).

So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.

We have one letter and two digits, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Correct option: 1)

Answer:

1.) 2,600

Step-by-step explanation:

Answer:

7.5cm

Step-by-step explanation:

0.25 cm=10ft

x30.        x30

7.5 cm=300ft

Hpoe this helps! :) :)