Enter a range of values for x.
85°
25
5x - 10
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Answer: A) 1/2

Step-by-step explanation:

Answer:

If you flip a coin three times in the air, what is the probability that tails lands up all three times?

Step-by-step explanation:

1/2

Answer:

B. [tex]y = -\frac{3}{10}x + \frac{1}{2}[/tex]

Step-by-step explanation:

Well slope-intercept form is [tex]y = ax + b[/tex].

Let's start with the slope.

In this case, finding the slope is easy.

It should have a negative slope.

So we can cross out answer choices A. and C.

Also, we can cross out D. because it just makes no sense, -10/3, if you start from the y-intercept and go down 10 and across 3, yeah that's

not the slope.

So we can cross out D.

The only answer choice left is B.

We can tell the y-intercept is 1/2 because like come on so B is the correct answer.

B. [tex]y = -\frac{3}{10}x + \frac{1}{2}[/tex]

Looking at the graph, we can figure out our y-intercept or b simply by looking at the line to see where it intersects the y-axis.

So, we can see that the line intersects the y-axis at 1/2 or 0.5

That means, our y-intercept or b is 1/2 (0.5).

Now, to find out the slope of the line, we can pick two pairs of coordinates on the line and plug it into the slope equation to figure out the slope.

Let's use the two coordinate pairs: (-5, 2) and (0, 1/2).

Plug it in.

1/2 - 2 = - 1.5

0 - - 5 = 5

-1.5/5 = -0.3

Convert it into a fraction: -0.3 = -3/10

Thus, our slope intercept form for this line is: y = -3/10 + 1/2

Answer:

9.4 pound of raisin and 10.6 pound of peanut is required to make 20 pound of product

Step-by-step explanation:

The cost of raisins is $2.5 per pound and the cost of peanut per pound is $3.50.

Let r represent the number of raisin pound and p represent the number of peanut pound. Since 20 pounds of a new product that consists of peanuts and raisins need to be produced, it can be represented by the equation:

p + r = 20             (1)

The new product would cost $3.03, therefore:

3.5p + 2.5r = 3.03(20)

3.5p + 2.5r = 60.6          (2)

We have to solve equation (1) and (2) simultaneously. First multiply (1) by 2.5 to get 2.5p + 2.5r = 50. Subtract  2.5p + 2.5r = 50 from equation (2):

p = 10.6 pound

Put p = 10.6 in equation (1)

10.6 + r = 20

r = 20 - 10.6 = 9.4

r = 9.4 pound

9.4 pound of raisin and 10.6 pound of peanut is required to make 20 pound of product

Answer:

p + r = 20

[tex]\frac{3.50p+2.50r}{20}[/tex] = 3.03

Step-by-step explanation:

The total cost of the product when the peanuts and raisins are combined is:

3.50p + 2.50r

To obtain the per pound cost, this expression needs to be divided by the number of total pounds, 20.

[tex]\frac{3.50p+2.50r}{20} =3.03[/tex]

**KA's explanation**

Answer:

They are both equal to 7.07

Step-by-step explanation:

Using SohCahToa to find x you use the opposite and the hypotenuse if you use the 45 degree angle.

Now you use sin(45)=x/10

x=7.07

Now using SohCahToa to find y you use hypotenuse and adjacent, if using the 45 degree angle.

Now you use cos(45)=y/10

y=7.07

Answer: side y=7.1

side x= 7.1

Step-by-step explanation:

[tex]sin(45)=\frac{x}{10}[/tex]

[tex]x=7.07...[/tex]

[tex]cos(45)=\frac{y}{10}[/tex]

[tex]y=7.07...[/tex]

Answer:

60n seconds

Step-by-step explanation:

In 1 min, there are 60 seconds

So,

1 min = 60 secs

For n minutes, it becomes:

=> 60n seconds

Answer:

3x^2 -4

Step-by-step explanation:

f(x) = 2x^2 +3

g(x) = x^2 -7

(f+g) (x) =  2x^2 +3 +  x^2 -7

 Combine like terms

            = 3x^2 -4

Answer:

[tex]\boxed{3x^2-4}[/tex]

Step-by-step explanation:

[tex](f+g)(x)[/tex]

Rewrite.

[tex]f(x)+g(x)[/tex]

[tex](2x^2 +3)+(x^2-7)[/tex]

Combine like terms and simplify.

[tex](2x^2 +x^2 )+(3-7)[/tex]

[tex](3x^2 )+(-4)[/tex]

[tex]3x^2 +-4[/tex]

Answer:

664

Step-by-step explanation:

651 - - 13

Negative times negative is positive.

651 + 13

Add.

664

Answer:

664

Step-by-step explanation:

651 - (-13)

Do the keep , change , change method

So , it will be :

651 + 13 = 664

Hope this helps and plsss plss amrl as brianliest and THNXX :)

Answer:

no

Step-by-step explanation:

it was slower the way there and if he was going 40 it would have taken the same time to get there as it would have to go back

Answer:

Yes.

Step-by-step explanation:

Reiko's average speed was 80 miles per hour. That is more than 40 miles per hour. Even if it took him longer to drive from A to B, his speed would still be more than 40 miles per hour to have the average speed be 80 miles per hour.

Hope this helps!

Answer:

x = 1, y = 6

Step-by-step explanation:

y = 6x

2x + 3y = 20

Plug y as 6x in the second equation and solve for x.

2x + 3(6x) = 20

2x + 18x = 20

20x = 20

[tex]\frac{20x}{20}= \frac{20}{20}[/tex]

x = 1

Plug x as 1 in the first equation and solve for y.

y = 6(1)

y = 6

Answer:

y=6 , x=1

Step-by-step explanation:

y=6x

2x+3y=20

Substitute 6x into y because y=6x.

2x+3(6x)=20

2x+18x=20

20x=20

x=1

Then subsitiute 1 into the first equation in x value

y=6(1)

y=6

Answer:  7.8 days

Step-by-step explanation:

Painter can get the job done in 15 days so gets [tex]\dfrac{1}{15}[/tex] of the job done in 1 day.

Coworker can get the job done in 10 days so gets [tex]\dfrac{1}{10}[/tex] of the job done in 1 day.

Together, they get [tex]\dfrac{1}{15}+\dfrac{1}{10}[/tex] of the job done in 1 day.

Painter worked for 3 days so completed [tex]\dfrac{1}{15}(3)=\dfrac{1}{5}[/tex] of the job.

That leaves a remaining of [tex]1-\dfrac{1}{5}=\dfrac{4}{5}[/tex] of the job to be completed.

Let x represent the number of days it will take them to work together.

Painter + Coworker = Together

[tex]\dfrac{1}{15}(x)\quad +\quad \dfrac{1}{10}(x)\quad =\quad \dfrac{4}{5}[/tex]

Multiply by 30 to eliminate the denominator:

[tex]\dfrac{1}{15}(x)(30) +\ \dfrac{1}{10}(x)(30) = \dfrac{4}{5}(30)[/tex]

Simplify and solve for x:

    2x + 3x = 24

            5x = 24

              [tex]x=\dfrac{24}{5}[/tex]

              x = 4.8

Remember that Painter worked 3 days alone in addition to the 4.8 days they worked together.

So the total time to paint the building is 3 + 4.8 = 7.8

Answer:

x=4

Step-by-step explanation:

x²-16=0

x²=0+16

x²=16

x=√16

x=4

Answer:

7 boxes of pencils and 5 boxes of erasers.

Step-by-step explanation:

The least common denominator of these two numbers are 70. 7×10 and 14×5. So she is purchasing the same quantity of both.

X axis is the horizontal axis and y is the vertical.

On a graph, quandrant 1 is the upper right side which requires both x and y to be positive.

Quadrant 2 is upper left, which is negative x and positive y.

Quandrant 3 is lower left, which is negative x and y.

Quadrant 4 is lower right, which is positive x and negative y.

X< 0 is negative and y > 0 is positive.

This matches quadrant 2

The answer is B.

Answer:  The value of b= 15.6

Step-by-step explanation:

The given equation:  [tex]4\dfrac{1}{3}b+b=6b-10.4[/tex]

To find : Value of b.

Since, we can write [tex]4\dfrac{1}{3}=\dfrac{13}{3}[/tex]

So, the given equation becomes [tex]\dfrac{13}{3}b+b=6b-10.4[/tex]

[tex]\Rightarrow\dfrac{13b+3b}{3}=6b-10.4\Rightarrow\dfrac{16b}{3}=6b-10.4[/tex]

Subtract 6b from both sides , we get

[tex]\Rightarrow\dfrac{16b}{3}=6b-10.4\\\\\Rightarrow\dfrac{16b-18b}{3}=-10.4\\\\\Rightarrow\dfrac{-2b}{3}=-10.4\\\\\Rightarrow b=-10.4\times\dfrac{-3}{2}\\\\\Rightarrow\ b= 15.6[/tex]

hence, the value of b= 15.6

Answer:

The speed V = 194.03 mph

Direction = 3.6° northeast

Step-by-step explanation:

The distance of the trip = 291 miles

The direction of flight = 9.1 degrees northeast

Speed of the prevailing wind = 25 mph

Direction of wing = southeast = 45 degrees South of East

The speed heading to Ivy Cliffs = V₁

V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45))  × t₁ = 291 miles

V×(sin(9.1) + cos(9.1)) + 25×(sin(45) + -cos(45))  × t₂ = 291 miles

t₁ + t₂ = 3 hours

(V×(sin(9.1)-25×(sin(45))j + (V×cos(9.1) + 25×cos(45))i

The magnitude V² = V²+29.32·V +625= 291²/t₁²......(1)

Also on the return trip we have;

V²-29.32·V +625= 291²/(3-t₁)²..........................................(2)

Subtracting equation (2) from (1) gives;

58.64·V = 291²/t₁² - 291²/(3-t₁)² = 291²×(6·t-9)/(t²·(t-3)²)

V = 291²×(6·t-9)/(t²·(t-3)²)/58.64

Substituting the value of V in (2) with a graphing calculator gives;

t₁= 1.612 or 1.387

Given that magnitude of the speed going > return = V² for  t₁ < t₂

t₁ = 1.387, t₂ = 1.612

From  V²+29.32·V +625= 291²/t₁², we have

V²+29.32·V +625= 291²/1.387²

Which gives

V²+29.32·V -43336.5 = 0

(V + 233.35)(V-194.03) = 0

V = -233.35 mph or V = 194.03 mph

Given that V is a natural number, we have, V = 194.03 mph.

The direction is given by the relation;

V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45))  × t₁ = 291 miles

V×(sin(9.1) + cos(9.1)) + 25×(-sin(45) + cos(45))  × t₁ = 291 miles

194.03×sin(9.1 degrees)-25×sin(45 degrees)j + 194.03×cos(9.1 degrees) + 25×cos(45 degrees)i = 291/1.387

13j + 209.27i = 208.81 mph

The angle tan θ = 13/209 = 0.00622

θ = tan⁻¹(13/209.27) = 3.6°.

Sara works 46 hours per week

9 hours are overtime and 37 hours are regular time

pay rate at time and a half: 10.20∗1.5=15.30

regular hours plus overtime pay

37∗10.20=377.40

9∗15.30=137.70

Income due to tips

Total hours worked∗60per hour∗20%

46∗60∗.20=552

Weekly Income=Hourly income + tips

Weekly Income=377.40+137.70+552.00

Weekly Income=1067.10

Annual income=Weekly income∗52

Annual income=55489.20

Answer: negative 2 minus radical 3

Step-by-step explanation:

We can use the tangent half-angle formula to find the exact value of tangent of 7π/12:

tan(θ/2) = ±√[(1-cosθ)/1+cosθ)]

Here, θ = 7π/6, and cos(7π/6) = -sqrt(3)/2.

Substituting these values, we get:

tan(7π/12) = ±√[(1-(-sqrt(3)/2))/(1+(-sqrt(3)/2))]

= ±√[(2+sqrt(3))/(2-sqrt(3))]

Multiplying the numerator and denominator by (2+sqrt(3)), we get:

= ±√[(2+sqrt(3))^2/(4-3)]

= ±√[(2+sqrt(3))^2]

= ±(2+sqrt(3))

Since 7π/12 lies in the second quadrant, and tangent is negative in the second quadrant, the exact value of tangent of 7π/12 is - (2+√3)

Answer:

volume=3x³+15x²+12x

Step-by-step explanation:

v= l*w*h =(3x )(x+1) (x+4)

v=3x(x²+5x+4)

volume=3x³+15x²+12x

Answer:

You havent showed us the pattern

Answer:

  2

Step-by-step explanation:

Polygons on either side of a common edge need to be colored differently, so 2 colors are needed, as a minimum. Polygons of the same shape do not share an edge, so all can be colored the same color.

and the answer should be 18 x 27. The answers were reversed.

Step-by-step explanation:

basically you can do (6x4) + 3 = 27

and (4x4) + 2 = 18.

A ratio shows us the number of times a number contains another number. The real size of the bedroom is 2536' by 1648'.

A ratio shows us the number of times a number contains another number.

Given that architectural drawing lists the scale as 1/4" = 1'. Therefore, we can write the scale ratio as,

1/4" = 1'

1" = 4'

Now, given that the bedroom measures 634" by 412" on the drawing. Therefore, the real dimensions of the bedroom are,

634" = 634 × 4' = 2536'

412" = 412× 4' = 1648'

Hence, the real size of the bedroom is 2536' by 1648'.

Learn more about Ratios:

https://brainly.com/question/1504221

#SPJ2

Answer:

The answer is 2.5

Step-by-step explanation:

Formula Used is is ½ x x+y

so it is ½ x 2 + 3

½ x 5 = 2.5

Answer:

2=2/1

3=3/1

multiplying both fractions by 10.

2*10/1*10

3*10/1*10

20/10 and 30/10

so nos are 21/10.......29/10

Answer: C

explanation:  a p e x

Explanation:

Start with the template they give, which is y = ax+b. From here, replace 'a' with -2.9 and b with 13.5 to get the answer y = -2.9x + 13.5

The r and r^2 values aren't used to form the regression line. Instead, they are ways to see how good a fit we have. Since r is fairly close to -1, this means we have a really strong negative correlation. All of the points are close or around the same straight line with a negative slope (that slope being -2.9).

Answer:

Hey mate... I don't know the first three... But mayb I can help u in last one.

Step-by-step explanation:

The answer is : 2: 6: 18: 54: 162: 426

I can see the pattern by multiplying.. As from 3

2x3=6 :6x3=18 :18x3= 54 :54x3=162 :162x3=426

So I guess this is the ans

Hope it helped u!

Answer: x=5

Step-by-step explanation:

[tex]\frac{2}{14} =\frac{x}{35}[/tex]

[tex]\frac{x}{35}=\frac{2}{14}[/tex]

simplify

[tex]\frac{x}{35}=\frac{1}{7}[/tex]

multiply 35 on both sides

[tex]\frac{35x}{35}=\frac{1\cdot \:35}{7}[/tex]

[tex]\frac{1}{7} \cdot 35=5[/tex]

x=5

Step-by-step explanation:

Notice how you get the same value each time when you divide the cost by the number of downhill rides

Moreover when the downhill rides grow by 2 the total cost grows by 5

so we can state :

To complet the chart we can use the proportionaliyu relation:

so 20 goes with 50

same method:

so 25 goes with 62.5

Answer: I hope it helps :)

Step-by-step explanation:

1.

[tex]Hypotenuse =x\\Opposite =y \\Adjacent =6\\\alpha = 6\\Let's\: find\: the \:hypotenuse\: first\\Using SOHCAHTOA\\Cos \alpha = \frac{adj}{hyp} \\Cos 60 = \frac{6}{x} \\\frac{1}{2} =\frac{6}{x} \\Cross\:Multiply\\x = 12\\Let's\: find\: y\\Hyp^2=opp^2+adj^2\\12^2=y^2+6^2\\144=y^2+36\\144-36=y^2\\108=y^2\\\sqrt{108} =\sqrt{y^2} \\y=6\sqrt{3}[/tex]

2.

[tex]Opposite =x\\Hypotenuse = 46\\Adjacent =y \\\alpha =60\\Using \: SOHCAHTOA\\Sin \alpha =\frac{opp}{adj} \\Sin 60=\frac{x}{46}\\\\\frac{\sqrt{3} }{2} =\frac{x}{46} \\2x=46\sqrt{3} \\x = \frac{46\sqrt{3} }{2} \\x =23\sqrt{3} \\\\Hyp^2=opp^2+adj^2\\46^2=(23\sqrt{3} )^2+y^2\\2116=1587+y^2\\2116-1587=y^2\\529=y^2\\\sqrt{529} =\sqrt{y^2} \\y = 23[/tex]

3.

[tex]Hypotenuse = u\\Opposite =6\sqrt{3} \\Adjacent = v\\\alpha =60\\Sin\: 60 = \frac{6\sqrt{3} }{u} \\\frac{\sqrt{3} }{2} =\frac{6\sqrt{3} }{u} \\12\sqrt{3} =u\sqrt{3} \\\\\frac{12\sqrt{3} }{\sqrt{3} } =\frac{u\sqrt{3} }{\sqrt{3} } \\u = 12\\Hyp^2=opp^2+adj^2\\12^2= (6\sqrt{3} )^2+v^2\\144=108+v^2\\144-108=v^2\\36 = v^2\\\sqrt{36} =\sqrt{v^2} \\\\v =6[/tex]

4.

[tex]Hypotenuse = a\\Opposite =18 \\Adjacent = b\\\alpha =45\\Tan \alpha = opp/adj\\Tan \:45 =18/b\\1=\frac{18}{b}\\ b = 18\\\\Hyp^2=Opp^2+Adj^2\\a^2 = 18^2+18^2\\a^2=324+324\\a^2=648\\\sqrt{hyp^2} =\sqrt{648}\\ \\a =18\sqrt{2}[/tex]

5.

[tex]Hypotenuse = 13\sqrt{2}\\ Opposite =x\\Adjacent = y\\\alpha =45\\Sin\:\alpha = opp/hyp\\Sin 45=x/13\sqrt{2}\\ \\\frac{\sqrt{2} }{2} =\frac{x}{13\sqrt{2} } \\2x=26\\2x/2=26/2\\\\x = 13\\\\Hyp^2=opp^2+adj^2\\(13\sqrt{2})^2=13^2+y^2\\ 338=169+y^2\\338-169=y^2\\169=y^2\\\sqrt{169} =\sqrt{y^2} \\13 = y[/tex]

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~`

You added no fraction so i thought you wanted the definition

Convert Fractions to Percents. Divide the top of the fraction by the bottom, multiply by 100 and add a "%" sign.

Hope this helped you. Brainliest wouldbe nice!

To remove a possible source of bias

Step-by-step explanation:

If the test subjects know they are part of an experiement, this could cause them to think that it worked and it could either lead to untruthful answers or the test subjects tricking themselves to think that the vaccine worked

Answer:  Annual Gross Income = $55,489.20

               Annual Net Income = $46,439.72

Step-by-step explanation:

Total hours worked per week = 3(10) + 5 + 11 = 46

Regular hours worked = 3(8) + 5 + 8 = 37

Overtime hours worked = 3(2) + 0 + 3 = 9

Weekly Tips at 20% of $60 for 46 hours:

0.2(60)(46) = $552.00

Annual tips = $552.00 x 52 weeks = $28,704.00

Weekly Regular pay at $10.20 per hour for 37 hours:

10.20(37) = $377.40

Annual regular pay = $377.40 x 52 weeks = $19,624.80

Weekly Overtime pay at time and a half for 9 hours:

10.20(1.5)(9) = $137.70

Annual overtime = $137.70 x 52 weeks = $7,160.40

Total Annual Gross Income = Tips + Regular Pay + Overtime

$28,704.00 + $19,624.80 + $7,160.40 = $55,489.20

****************************************************************************************

Deductions (per question 5):

a) Pension at 5% = $55,489.20(0.05) = $2,774.46

b) Employee Insurance at 2.4% = $55,489.20(0.024) = $1,331.74

c) Income Tax at 0% for $0-$11,000 = $11,000(0) = 0

   Income Tax at 8% for $11,000-$25,000 = $14,000(0.08) = $1,120.00

   Income Tax at 12% for $25,000-$50,000 = $25,000(0.12) = $3,000.00

   Income Tax at 15% for $50,000-$100,000 = $5,489.2(0.15) =$823.38

Total Income Tax = $4,943.28

Annual Net Income = Gross - Pension - Employee Insurance - Income Tax:

$55,489.20 - $2,774.46 - $1,331.74 - $4,943.28 = $46,439.72