Nagayama writes one check for $459 to buy a lawnmower and another check for $32 to buy a hedge
trimmer. The previous balance in Nagayama's check register is $1,056.24. What is her new balance?

Answer:i really caint tell you :( but you can try google

Step-by-step explanation:

Step-by-step explanation:

f(x) = 4x + 6

g(x) = 4x² + 1

Remember that ☞ gof(4) = g( f(4) )

= 4(4x + 6)² + 1

= 4(4.4 + 6)² + 1

= 4(16 + 6)² + 1

= 4(22)² + 1

= 4(484) + 1

= 1.936 + 1

= 1.937

So, gof(4) = 1.937

Answer:

g(f(4)) = ?

f(x) = 4x +6

f(4) = 4(4) + 6

f(4) = 16 + 6

f(4) = 22

g(22) = 4(22)^2 + 1

g(22) = 4(484) + 1

g(22) = 1936 + 1

g(22) = 1937

g(f(4)) = 1937

Answer:

y do not vary directly with x

Step-by-step explanation:

Given

x ----- y

7------11

8------13

9------15

10----17

Required

Determine if y varies directly with x

To do this, we make use of the following equation

\(y = kx\)

Where

k = constant of variation

Make k the subject

\(k = \frac{y}{x}\)

When

\(x = 7; y = 11\)

\(k = \frac{11}{7}\)

\(k = 1\frac{4}{7}\)

When

\(x = 8; y = 13\)

\(k = \frac{13}{8}\)

\(k = 1\frac{5}{8}\)

Note to have a direct variation, the constant of proportionality must be equal for all corresponding values of x and y.

In the above calculations, we have:

\(k = 1\frac{4}{7}\) and \(k = 1\frac{5}{8}\)

Because of the difference in the values of k, we can conclude that y do not vary directly with x.

Hence, there's no need to solve for other x and y values and there's no need to solve for (2) & (3)

Answer:

64 degrees

Step-by-step explanation:

X equals 64 degrees because it shares a vertical angle pair with another angle which is 64 degrees. Since they are across from each other, x is 64 degrees.

Vertical angles are a pair of opposite angles formed by intersecting lines.

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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Answer:

C=150p+1000

Step-by-step explanation:

Solve for the y-intercept:

C=50p+b Slope intercept form of a line

2200=150(8)+b

Plug in known point

2200=1200+b Multiply

1000=b

Subtract 12001200

The equation is C = 1000 + 150p

The total cost of producing a phone is the sum of the fixed cost and the variable cost

Total cost = fixed cost + variable cost

Fixed cost is the cost of producing phone that remains constant regardless the quantity of phones produced. e.g. rent

Variable cost is the  cost of producing phone that increases with the quantity of phones produced. e.g. labour cost

In order to write the equation, the fixed cost has to be determined.

Fixed cost = total cost - variable cost

Variable cost = $150 x 8 = $1200

2200 - 1200 = 1000

The equation is : C = 1000 + 150p

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Answer:

D

Step-by-step explanation:

When all the members in a domain has only but one member in the do main then function has been satisfied.

considering a situation of,

4 1

6 1

8 2

the domain has only one member in the Co domain hence which makes it a function

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

no its not

Step-by-step explanation:

You would have to multiply 9w times -12 and 0 times -12 which does not equal the equation

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

The cost of the tomatoes, in dollars per pound, using proportions, is of:

$0.86 per lb.

A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of a problem.

In this problem, the costs is obtained as follows:

Hence the cost in dollars per kg of the tomatoes is obtained as follows:

1.74 x 1.09 = $1.8966 per kg.

The relationship between kg and pounds is given as follows:

1 kg = 2.20 lb.

Hence the cost is written as follows:

$1.8966 per 2.20 lb.

The cost per pound of the tomatoes is of:

1.8966/2.20 = $0.86 per lb.

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Here is the two column proof:

    Statement                                        Reason                                              

The rectangle that will side lengths of 5units and 4 units will have coordinate of A(3, 3), B(3, 7), C(8, 7), D(8, 3) ( option B)

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²).

For a rectangle, the opposite sides are equal this means AB = C D and CB = AD

To verify the answer, The distance between AB = √((3– 3)² + (7– 3)²).

line AB = √0+16= 4units

line AD = √((8– 3)² + (3– 3)²).

line AD = √25+0

line AD = 5 units

therefore the sides of the rectangle are 5units and 4 units.

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Answer:

Step-by-step explanation:

If we are looking for the ratio of the area of the inner square to the area of the outer square, that means that we need the areas of each of these squares, and we need to find the areas without any numbers. But that's ok; the answer they want is not a number answer. The answer will have a's and b's in it instead of numbers.

First the area of the inner square. Here we go:

Look at the triangle in the lower left corner of this coordinate plane. It is a right triangle. The height of it is b. That's because the height is a "y" thing and the y-coordinates of each of those sets of coordinates is b and 0. The height is then b - 0 = b.

The length of the base is a - b. That's because the length is an "x" thing and the x-coordinates of each of those sets of coordinates is (a - b) and 0. The length is then a - b - 0 = a - b.

Now we need the length of the hypotenuse which also serves as one of the sides of the inner square. Using Pythagorean's Theorem, we can find the length of the hypotenuse, which I will label as "?":

\(?^2=b^2+(a-b)^2\) and

\(?^2=b^2+a^2-2ab+b^2\) and

\(?^2=a^2-2ab+2b^2\) so

?, the length of the hypotenuse, is

\(?=\sqrt{a^2-2ab+2b^2}\) and now we can use that to find the area of the inner square. The formula for a square's area is

\(A=s^2\) so

\(A=(\sqrt{a^_2}-2ab+2b^2})^2\) which gives us finally:

\(A=a^2-2ab+2b^2\) **

Now for the outer square. Those blue triangles you see are all congruent. We can use the side lengths for the triangles we found above to find the length of a side of the outer square. One side of the outer square is made up of one base length of these triangles and one height. We found the base length to be (a - b) and the height to be b; therefore, the length of one side of the outer square is b + (a - b) which is just "a". That's is, just a length of "a". The area is found by multiplying this side length by itself, so the area of the outer square is

A = a²

The ratio of the area of the inner to the outer is:

\(\frac{A_i}{A_o}:\frac{a^2-2ab+2b^2}{a^2}\) and that does not reduce.

Answer:

A

Step-by-step explanation:

Edmentum

Answer:

d = 50t

Step-by-step explanation:

In the table, the values across from each other are equivalent.

\(\begin{tabular}{|c|c|}\cline{1-2} Time in hours (t) & Distance in miles (d) \\\cline{1-2} 0 & 0 \\\cline{1-2} 1 & 50 \\\cline{1-2} 2 & 100 \\\cline{1-2} 3 & 150 \\\cline{1-2}\end{tabular}\)

By looking at the second row of the provided table, we can see that d is equal 50 times the value of t. We can write this as an equation:

d = 50t

The correct answer choice is d = 50t, or the 4th option.

Let me know if you have any questions!

Answer:

Volume of cylinder = 250πm³

Step-by-step explanation:

Given:

Height h = 10 m

Radius r = 5 m

Find:

Volume

Computation:

Volume of cylinder = πr²h

Volume of cylinder = π(5)²(10)

Volume of cylinder = 250πm³

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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The angles marked x in each of the polygons are 128° and 82° respectively.

Concave polygons are closed two dimensional figures whose at least one of the interior angle is more than 180 degrees.

The given polygons are named as ABCDEFGH and PQRSTU as shown below.

1) An interior angle and a corresponding exterior angles are supplementary.

Interior angle ∠B = 180° - 42° = 138°

Similarly,

Interior angle, ∠E = 180° - 34° = 146°

Also, angle around a point = 360°

Interior angle at G = 360° - 141° = 219°

Sum of the angles of a polygon = (n - 2) 180°, where n is the number of sides.

Here, number of sides, n = 8

x + 138° + 107° + 145° + 146° + 126° + 219° + 71° = (8 - 2) 180°

x + 952° = 1080

x = 1080 - 952

x = 128°

2) The dotted line implies that the shape is symmetrical.

∠Q = ∠U and ∠R = ∠T

∠Q = ∠U = 34°

Exterior angle at T = 87°

Interior angle at T = 360° - 87° = 273°

So ∠R = ∠T = 273°

Again number of sides, n = 6

x + 34 + 273 + 24 + 273 + 34 = (6 - 2) 180

x + 638 = 720

x = 720 - 638 = 82°

Hence the angle are 128° and 82°.

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Answer:

d

Step-by-step explanation:

Because you need to substitute the variable first, multiply that and add 8.

Answer:

  1 3/4 m

Step-by-step explanation:

You want the length of a rectangle 4/5 m wide that has an area of 1 2/5 m².

The formula for the area of a rectangle is ...

  A = LW . . . . . . L = length; W = width

Filling in the given values and solving for L, we have ...

  1 2/5 m² = L(4/5 m)

  L = (7/5 m²)/(4/5 m) = 7/4 m = 1 3/4 m

The length of the rectangle is 1 3/4 meters.

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

Answer:

−7.361097448

Step-by-step explanation:

The expected value (to the company) per policy sold is $630 and the expected profit is $6,300,000.

a. Expected value of the claim:

Expected value=20,000 (1/200)+30,000(1/200)+60,000(1/500)

Expected value=100+150+120

Expected value=370

Expected value of the company profit:

Expected value=1,000-370

Expected value=630

b. If the company sells 10,000 policies the expected profit is:

Expected profit=10,000×630

Expected profit=$6,300,000

Therefore the expected value (to the company) per policy sold is $630 and the expected profit is $6,300,000.

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The complete question is:

An insurance policy sells for $1000. Based on past data, an average of 1 in 50 policyholders will file a $20,000 claim, an average of 1 in 200 policyholders will file a $30,000 claim, and an average of 1 in 400 policyholders will file a $60,000 claim.

a. Find the expected value (to the company) per policy sold.

b. If the company sells 10,000 policies, what is the expected total profit or loss for the company?

At the given point,

\(f(5,0) = \dfrac1{\sqrt{5^2 + 0^2 - 9}} = \dfrac1{\sqrt{16}} = \dfrac14\)

Then the level curve is

\(\dfrac1{\sqrt{x^2 + y^2 - 9}} = \dfrac14 \\\\ \implies \sqrt{x^2 + y^2 - 9} = 4 \\\\ \implies x^2 + y^2 - 9 = 4^2 \\\\ \implies x^2 + y^2 = 25 = 5^2\)

which is a circle centered at the origin with radius 5 - quite easy to sketch.

The way the flashback in these paragraphs advance the plot is C. It introduces Evan's motivation for working in the garden with Grandfather.

The technique of flashback in storytelling involves interrupting the chronological order of events to depict an earlier event or scene. It uses time travel to furnish the audience with necessary backstory, context, or a deeper understanding of the characters.

The technique of flashbacks is frequently employed as a means of divulging previous occurrences, recollections, or incidents that hold significance to the present narrative being conveyed.

Hence, it can be seen from the given text that the use of flashback helps show the motivation which Evans had for working in the garden with Grandfather

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Answer:

Length: 40  Width: 76

Step-by-step explanation:

W is width, and L is length.

We know that the length is 36 less than the width, so L = w - 36.  Two times the width plus two times the length equals the perimeter, so set up the equation for the perimeter as:

232 = 2w + 2(w-36)

Now solve for w:

232 = 2w + 2w - 72

304 = 4w

w = 76

we now know that the width is 76, so solve for the length:

L= 76-36

L = 40