Every minute,
2.2


gallons of water flows from a shower. A family of
5

people showers for an average of
9

minutes per person every morning.

Answer:

combine like terms

15y+ 8

Answer:

The correct option is D.

Step-by-step explanation:

It is given that

[tex]\sin \theta =\frac{-77}{85}[/tex]

[tex]\cos \theta =\frac{36}{85}[/tex]

The angle of terminal ray is θ, it means the angle between x-axis and terminal ray is θ.

[tex]\sin \theta =\frac{perpendicular}{hypotenuse}[/tex]

[tex]\cos \theta =\frac{base}{hypotenuse}[/tex]

Therefore the length of perpendicular is 77 and the base of the triangle is 36.

Since sinθ is negative and cosθ is positive, it means point must be lies on fourth quadrant because in fourth quadrant cosine in positive but sine is negative.

The point of terminal ray is (base, perpendicular) and the sign are used according to the quadrant.

Therefore the point of terminal ray is (36,-77) because in fourth quadrant x is positive but y is negative. Option D is correct.

The coordinates of the point (x, y) on the terminal ray of angle theta are (36, -77).

Given

Three trigonometric functions for a given angle are shown below.

sin theta = -77/85, cos theta=36/85, tan theta=77/36.

A ray is defined as the initial side of the angle.

The second ray which  is called the terminal side of the angle.

The value of the sin and cos theta then, the co-ordinate lies in the fourth quadrant.

Therefore, the coordinates of the point (x, y) on the terminal ray of angle theta are (36, -77).

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Answer:

7/16

Step-by-step explanation:

this may be stupid but u can use this way if you want

half of 7 is 3.5 which makes 3.5/8 it should not be a decimal so you can find something equal to 3.5 which gives you 7/16

or this is less stupid but find something equal yo 7/8 that can be divided in half such as 14/16 then divide that in half and you get 7/16

The half of 7/8 is  7/16.

We have given that,

7/8 we have to determine half of 7/8.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator.

half of 7 is 3.5 which makes 3.5/8 it should not be a decimal so you can find something equal to 3.5 which gives you 7/16.

7/8 that can be divided in half such as 14/16 then divide that in half and you get 7/16.

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Answer:

y = 5 × [tex]2^{x}[/tex]

Step-by-step explanation:

Exponential growth equations are usually in the form y = a × [tex]b^{x}[/tex].

So, y = 5 × [tex]2^{x}[/tex] is the best fit for that format.

Have a great day!

The exponential growth:

[tex]y=a\cdot b^x[/tex]

Therfore your answer is [tex]y=5\times2^x[/tex]

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

y = 2x + 5    it's a linear function in slope-intercept form

y - x = 4 → -x + y = 4   it's a linear function in standard form

x = 3   it's a vertical line

The new width of the photo is 2 inches.

To find the new width of the photo, we can use the concept of proportions. Let's set up the proportion:

Original Height / Original Width = Reduced Height / New Width

Plugging in the given values, we have:

16 in / 8 in = 4 in / x

Cross multiplying, we get:

16x = 32

Dividing both sides by 16, we find:

x = 2

So the new width of the photo is 2 inches.

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Final answer:

The weekly take-home pay from a $45,000 annual salary with a 22% total tax burden is approximately $675.00 after taxes.

Explanation:

To calculate the take-home pay from a paycheck when you know the annual salary and the total tax rate, you must first determine the amount of money deducted for taxes and then subtract that from the gross (before-tax) pay. If a job pays $45,000 per year and the total tax burden is 22%, we can find the annual take-home salary and then divide by the number of pay periods per year to get the weekly take-home pay.

First, calculate the total annual taxes: $45,000 * 0.22 = $9,900.

Next, subtract the annual taxes from the annual salary to get the annual take-home salary: $45,000 - $9,900 = $35,100.

Since there are 52 weeks in a year, divide the annual take-home salary by 52 to find the weekly take-home pay: $35,100 / 52 \\approx $675.00.

Therefore, the weekly take-home pay would be approximately $675.00.

Ursula could have drawn a pentagon because all angles of a pentagon are obtuse angles.

An angle greater than 90° is called an obtuse angle.

Trapezoid: A quadrilateral with at least one pair of parallel sides is called

a trapezoid.

In a trapezoid, all the angles are not greater than 90° i.e. all the angles are not obtuse angles.

Similarly, In triangles and parallelograms, all the angles are not obtuse angles.

Pentagon: In a pentagon, all angles are greater than 90° i.e. obtuse angles.

Hence, Ursula could have drawn a pentagon because all angles of a pentagon are obtuse angles.

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Answer:

Total surface area =61.23 in ^2

Step-by-step explanation:

To find the total surface area of a cylinder, we use the formula

T . S . A . = 2 π r h + 2 π r^ 2

where r is the radius and h is the height

We know the radius is 1.5 and the height is 5

Substituting the values into the equation

T . S . A . = 2 π (1.5)(5) + 2 π (1.5) ^2

                  = 15  π +4.5  π

                   = 19.5  π

Using 3.14 for  π

                   = 19.5 * (3.14)

                  =61.23 in ^2

Answer:

61.23 square inches

.............................................................................................................

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Ratio of y : x equals to 7 : 2. Multyplying both number by three, y equals 21 and x equals 6

Answer:

x=6

Step-by-step explanation:

We can use ratios to solve this.  The ratio has to stay constant if they are proportional.  Put y in the numerator and x in the denominator.

         7         21

        ----- = ----

        2          x

We can solve using cross products.

7*x =2 *21

7x = 42

Divide each side by 7

7x/7 = 42/7

x =6

Answer:

see below

Step-by-step explanation:

In a right triangle, sin = opposite /hypotenuse

 but m is adjacent to the angle, so we need to use cosine

cos = adjacent /hypotenuse

cos 73 = m/9

Multiply each side by 9

9 cos 73 = m

2.631345343 =m

Answer:

5.625

Step-by-step explanation:

45 ÷ 8 = 5.625

Answer:

150 miles

Step-by-step explanation:

If they drove the same speed throughout the trip, we can find the speed from

d= rt

Solving for r

d/t =r

300 miles/ 6 hours = r

50 miles per hour = rate ( or speed)

On the last day, the drove 3 hours.

d =rt

d = 50 miles per hour * 3 hours

d = 150 miles

Answer:

The midpoint is (4,6)

Step-by-step explanation:

When we have 2 points, we can find the midpoint by using the formula

midpoint = (x1+x2)/2, (y1+y2)/2

              = (6+2)/2, (4+8)/2

                   = (8/2),  12/2

                = 4,6  

Answer:

3,8120,000

Step-by-step explanation:

Move the decimal over 7 times to the left. If the exponent was negative you would move the decimal to the right 7 times

Answer:

center : (0, 2.25)

radius: 14/13

Step-by-step explanation:

x^2+(y-2.25)^2=196/169

Rewrite x^2+(y-2.25)^2=196/169

(x-0)^2+(y-2.25)^2=(14/13)^2

c=(0,2.25),r= (14/13)

hope this helps<3

Final answer:

The center of the circle described by the equation is at (0, 2.25), and its radius is 14/13 units.

Explanation:

The equation given is x^2 + (y-2.25)^2 = 196/169. This equation is of the form (x-h)^2 + (y-k)^2 = r^2, where (h, k) is the center of the circle, and r is the radius. To find the center and radius, we compare the given equation to the standard form.

Center: By comparison, h=0 and k=2.25, so the center is at (0, 2.25).

Radius: The radius is the square root of 196/169, which is 14/13. Therefore, the radius is 14/13 units.

Answer:

Y= -1

Step-by-step explanation:

Final answer:

To find the value of y when x equals -7 in the equation -7x - 5y = 54, substitute -7 for x, simplify the equation, and solve for y. The value of y is -1.

Explanation:

To complete the solution of the equation and find the value of y when x equals -7, we will plug -7 in for x in the equation -7x - 5y = 54.

Here is the step-by-step process:

So, the value of y when x equals -7 is -1.

Answer:

The common ratio is 3

Step-by-step explanation:

To determine the common ratio, we take the second term and divide by the first term

9/3 =3

To verify this we take the third term and divide by the second term

27/9 = 3

Answer:

The area of figure is 304 square unit.

Step-by-step explanation:

The figure divided into 2 equal trapezoids.The height of each is 8. The basis of each trapezoid are 14 and 24. It means the length of the parallel sides are 14 and 24.

Area of a trapezoid is

[tex]A=\frac{a+b}{2}\cdot h[/tex]

Where, a and b are length of parallel sides and h is the height of trapezoid.

Area of a trapezoid is

[tex]A_1=\frac{24+14}{2}\times 8[/tex]

[tex]A_1=19\times 8[/tex]

[tex]A_1=152[/tex]

Therefore area of a trapezoid is 152.

The area of figure is twice of area of a trapezoid.

[tex]A=2\times A_1=2\times 152=304[/tex]

Therefore the area of figure is 304 square unit.

Answer:

304

Step-by-step explanation:

Hope this helps! :)

Answer:

Step-by-step explanation:

10x$6.50 then you subtract that from $18.00 now help me on my question

Profit means the amount YOU get (revenue) minus the cost you paid (expenses). Your expenses were $18. Your revenue was the total you earned from those 10 pies.

They were $6.5 each, which means that if you multiplied by 10, you would get the total.

p=6.5 x 10 - 18

Answer: 71 numbers apart

Step-by-step explanation: 27 and -54 are 71 numbers apart. In order for 27 to each -54 it must first reach 0. You basically add them while ignoring any negatives. Hope this helped :)

Final answer:

Fifth graders take up 96 seats, leaving 82 fourth graders. Dividing 82 by 8 seats per row yields 10.25, which we round up to 11 rows needed for the fourth graders.

Explanation:

To calculate the number of rows needed for the fourth graders, we need to first determine the total number of seats taken by the fifth graders. Since each row has 8 seats and the fifth graders fill 12 rows, the total number of seats taken by the fifth graders is 12 rows × 8 seats/row = 96 seats.

Now, we subtract the number of seats taken by the fifth graders from the total number of students attending to find out how many fourth graders there are: 178 students - 96 seats taken by fifth graders = 82 fourth graders.

The number of rows needed for the fourth graders can be calculated by dividing the total number of fourth graders by the number of seats per row: 82 fourth graders ÷ 8 seats/row = 10.25 rows. Since we can't have a fraction of a row, we round up to the next whole number. Therefore, the fourth graders will need 11 rows.

ok, ranked by axis of symmetry

basically x=something is the axis of symmetry

the way to find the axis of symmetry is to convert to vertex form and find h and that's the axis of symmetry

but there's an easier way

for f(x)=ax^2+bx+c

the axis of symmetry is x=-b/2a

nice hack my teacher taught me

so

f(x)=3x^2+0x+0

axis of symmetry is -0/(3*2), so x=0 is the axis of symmetry for f(x)

g(x)=1x^2-4x+5,

axis of symmetry is -(-4)/(2*1)=4/2=2, x=2 is axis of symmetry for g(x)

h(x)=-2x^2+4x+1

axis of symmetry is -4/(2*-2)=-4/-4=1, x=1 is the axis of symmetry for h(x)

0<1<2

axisies

f(x)<h(x)<g(x)

order based on their axises of symmetry is f(x), h(x), g(x)

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Answer:

To find the axis of symmetry.

A quadratic equation is in the form of :

[tex]ax^2+bx+c =0[/tex] where a, b and c are coefficients and x is the variable

Axis of symmetry is given by :

[tex]x = -\frac{b}{2a}[/tex]

First identify a, b and c in the equation

[tex]f(x) = 3x^2[/tex]

⇒ a= 3 , b= 0 and c =0

[tex]g(x) = x^2-4x+5[/tex]

⇒ a = 1 , b = -4 and c =5

and

[tex]h(x) = -2x^2+4x+1[/tex]

⇒ a = -2 , b =4 and c =1

Using above formula of the axis of symmetry:

[tex]x = -\frac{b}{2a}[/tex]

then;

In f(x)

Axis of symmetry: [tex]x = -\frac{0}{2 \cdot 3} = 0[/tex]

Similarly;

In g(x)

Axis of symmetry :  [tex]x = -\frac{-4}{2 \cdot 1} = \frac{4}{2} =2[/tex]

In h(x)

Axis of symmetry :  [tex]x = -\frac{4}{2 \cdot -2} = \frac{4}{4} =1[/tex]

Rank from least to greater on basis of axis of symmetry: 0 , 1 , 2

⇒ f(x); h(x) ; g(x)

Answer:

12.25 or 49/4

Step-by-step explanation:

12.25 is the decimal version because 1/4 is equal to 0.25 as a decimal and then add the 12 on.

13/4 is the improper fraction. To get an improper fraction, you multiply the main number (12) by the denominator (4) this gives you 48. Then, you have to add your numerator (1), leaving you with 49 over 4.

The value of the mixed fraction number 12 ¹/₄ will be 12.25.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The mixed fraction number is given below.

⇒ 12 ¹/₄

Convert the mixed fraction number into a decimal number. Then we have

⇒ 12 ¹/₄

⇒ 12 + ¹/₄

⇒ 12 + 0.25

⇒ 12.25

The value of the mixed fraction number 12 ¹/₄ will be 12.25.

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Answer:

Jacket A would be $86 and

Jacket B would be $12.. You would add them together and get the $98..

Step-by-step explanation:

Answer:

Equation:

xᵃ + xᵇ= 98

xᵃ=xᵇ-12

Jacket A costs $43

Jacket B costs $55

Step-by-step explanation:

We have 2 equations

Knowing

xᵃ= cost of jacket A

xᵇ= cost of jacket A

xᵃ + xᵇ= 98

xᵃ=xᵇ-12

If we replace xᵃ in the first equation

xᵇ-12 + xᵇ= 98

2xᵇ-12= 98

2xᵇ=98+12=110

xᵇ=110/2=55

xᵇ=55

xᵃ=xᵇ-12

xᵃ=43

Answer:

The answer is option A.

True

Hope this helps you

Answer:

1. LI=18

2. x=10

3. Yes (Y)

4. Yes (Y)

5. x=15

6. x=18

7. x=8

8. x=6

   y=6.5

Step-by-step explanation:

1. LI/JL=KH/JK

Replacing the given values:

LI/6=21/7

Dividing on the right side of the equation:

LI/6=3

Solving for LI: Multiplying both sides of the equation by 6:

6(LI/6)=6(3)

LI=18

2.TV/VS=RU/US

Replacing the given values:

x/17.5=8/14

Simplifying the fraction on the right side of the equation: Dividing numerator and denominator by 2:

x/17.5=(8/2) / (14/2)

x/17.5=4/7

Solving for x: Multiplying both sides of the equation by 17.5:

17.5(x/17.5)=17.5(4/7)=(17.5/1)(4/7)

Multiplying:

x=(17.5 x 4) / (1 x 7)

x=70/7

Dividing:

x=10

3. BC is parallel to DE if AD/DB is equal to AE/EC:

AD/DB=15/12=(15/3) / (12/3)→AD/DB=5/4

AE/EC=10/8=(10/2) / (8/2)→AE/EC=5/4

Like AD/DB=5/4=AE/EC → BC is parallel to DE

4. BC is parallel to DE if AD/DB is equal to AE/EC:

AD/DB= 2DB / DB→AD/DB=2

AE/EC=30 / (AC-AE)=30 / (45-30)=30/15→AE/EC=2

Like AD/DB=2=AE/EC → BC is parallel to DE

5. If JH is a midsegment of triangle KLM:

x=(1/2)(30)

x=15

6. If JH is a midsegment of triangle KLM:

x=2(9)

x=18

7. If JH is a midsegment of triangle KLM: x=8

8. 2x+1=x+7

Solving for x. Grouping the x's on the left side of the equation: Subtracting x both sides of the equation:

2x+1-x=x+7-x

Subtracting:

x+1=7

Subtracting 1 both sides of the equation:

x+1-1=7-1

Subtracting:

x=6

2x+1=2(6)+1=12+1→2x+1=13

x+7=6+7→x+7=13

(3y-8)/(y+5)=(2x+1)/(x+7)

(3y-8)/(y+5)=13/13

(3y-8)/(y+5)=1

3y-8=y+5

Solving for y. Grouping the y's on the left side of the equation: Subtracting y both sides of the equation:

3y-8-y=y+5-y

Subtracting:

2y-8=5

Adding 8 both sides of the equation:

2y-8+8=5+8

Subtracting:

2y=13

Dividing both sides of the equation by 2:

2y/2=13/2

Dividing:

y=6.5

Answer:

24 liters of 20% alcohol

Step-by-step explanation:

Answer: The end behavior of the given function is,

[tex]f(x)\rightarrow 0[/tex] as [tex]x\rightarrow -\infty[/tex]

And, [tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow \infty[/tex]

Step-by-step explanation:

Since, by the property of the graph of the exponential function,

If an exponential function is, [tex]f(x) = ab^x[/tex]

If b >1 ( increasing function ) then its end behavior is,

[tex]f(x)\rightarrow 0[/tex] as [tex]x\rightarrow -\infty[/tex]

And, [tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow \infty[/tex]

While b < 1 ( decreasing function, then its end behavior is,

[tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow -\infty[/tex]

And, [tex]f(x)\rightarrow 0[/tex] as [tex]x\rightarrow \infty[/tex]

Here, given function is,  [tex]f(x)=5^{x-1}[/tex]

Since 5 > 1

Therefore, the end behavior of the given function is,

[tex]f(x)\rightarrow 0[/tex] as [tex]x\rightarrow -\infty[/tex]

And, [tex]f(x)\rightarrow \infty[/tex] as [tex]x\rightarrow \infty[/tex]