The baseball diamond at a playground is a square with sides that measure 80 feet. About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth.

160 feet
113.1 feet
80 feet
12,800 feet

The value of the car after 12 years is $15,229.50

Here, we want to calculate the value of a car that loses a percentage of its origial value after some years

To do this, we shall need an exponential equation that represents decay or depreciation

We can have this as;

where;

P is the present value that we want to calculate

I represents the original value of the car which is $32,000

r is the percentage of decrease per year

From the question, there is a decrease of 18% every 3 years

The percentage decrease per year will be 18%/3 = 6%

6% is same as 6/100 = 0.06

t represents the time frame we are considering = 12 years

We proceed to input all these values into the equation above

We have it as;

Answer:

Step-by-step explanation:

Up 6 right 4: (4,6)

Right 4 up 6: (4,6)

Left 4 up 6: (-4, 6)

Down 4 right 6: (6, -4)

Right 6 down 4: (6, -4)

Answer: Right 4 up 6 is (4,6), left 4 up 6 is (-4,6), and right 6 down 4 is (6, -4).

Step-by-step explanation: Since you're starting from the origin, it's mainly counting. For (4,6), you are moving 4 places from 0 on the x axis. Then you move up 6 spaces from 4 on the y-axis. If you didn't move up, you'd be stuck at (4,0). It's important to keep in mind that (x,y).

The domain and the range of the function g(x) = |x + 4| are oo < x < oo and y >= 4

The domain of a function are the set of output values, the function can take

The range of a function are the set  of output values, the function can take

The definition of the function is given as

g(x) = |x + 4|

From the definition of the above function, we can see that the function is an absolute value function

This means that the function has a domain of all set of real values

This domain is represented as

Domain: -oo < x < oo

For an absolute function represented as

f(x) = |x + k|

The range is

y >= k

This means that the range of g(x) = |x + 4} is y >= 4

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a. The amount remaining in the account after x week  is 700 - 40x

b. Olivia can withdraw can withdraw money from her account money for  approx. 13 weeks.

Let x represent the number of weeks. Then the amount of withdrawal in this time is 40x

So, the amount remaining in the account after x weeks is 700 - 40x

Since he needs 150$ in the account for safety net, we must have

700 – 40x ≥ 150

So,

700 - 150 ≥ 40x

550 ≥ 40x

550/40 ≥ x

x ≤ 13.75

Hence, he can withdraw money for  approx. 13 weeks.

Withdrawal involves removing money from a bank account, savings plan, pension or trust. In some cases, conditions must be met for funds to be withdrawn without penalty, and an early withdrawal penalty usually occurs when a condition of the investment agreement is violated. Withdraw money from account: With this account you can withdraw a maximum of $500 per day. withdraw money/money/savings With the financial crisis, people had to withdraw their savings.

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Answer:

The equivalent expression is;

Explanation:

Given the expression;

we want to simplify;

Applying the rules of exponent;

Therefore, the equivalent expression is;

Step 1

Given;

Required; To solve for x

Step 2

Add -27 to both sides

Answer; The number that should be subtracted from both sides of the equation is 27

The most appropriate choice for surds will be given by-

[tex]-11\sqrt{3}[/tex] is the correct answer.

What are surds?

There are some natural numbers which are not perfect squares. Their square root are not natural numbers. Those numbers are called surds. The most important method for simplification of surds is prime factorization.

[tex]10\sqrt{3} - 4 \sqrt{48}-\sqrt{75}\\10\sqrt{3} - 4\sqrt{2\times2\times 2\times 2\times3}-\sqrt{3\times 5\times5}\\10\sqrt{3} - 4\times 2\times 2\sqrt{3} - 5\sqrt{3}\\10\sqrt{3} - 16\sqrt{3}-5\sqrt{3}\\-6\sqrt{3} - 5\sqrt{3}\\-11\sqrt{3}[/tex]

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1. When we convert each measurement to pounds, we have

2. When we arrange from least to greatest, we have

Lion, brown bear, giraffe, rhinoceros

Coversion scale

1 kg = 2.20462

With the above scale, we can convert each measurement to pound as follow:

I. Brown bear

1 kg = 2.20462

Therefore,

272.16 Kg = 272.16 × 2.20462

272.16 Kg = 600 pounds

II. Giraffe

1 kg = 2.20462

Therefore,

1124.0 Kg = 1124.0 × 2.20462

1124.0 Kg = 2478 pounds

III. Lion

1 kg = 2.20462

Therefore,

226.8 Kg = 226.8 × 2.20462

226.8 Kg = 500 pounds

IV. Rhinoceros

1 kg = 2.20462

Therefore,

1587.6 Kg = 1587.6 × 2.20462

1587.6 Kg = 3500.1 pounds

2. How to arrange for least to greatest

Thus, arranging from least to greatest, we have

Lion, brown bear, giraffe, rhinoceros

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Answer:

x = -11

Step-by-step explanation:

Hello!

This is a one-step equation. To solve for x, you simply have to isolate it.

Since -16 is being added to x, we can add 16 to both sides to cancel out the negative 16.

The value of x is -11.

Answer: B

Step-by-step explanation:

The root at [tex]x=-5[/tex] cuts through the x-axis, and has a multiplicity of one. So, it corresponds to a factor of [tex](x+5)[/tex].

The root at [tex]x=-2[/tex] bounces off the x-axis, and has a multiplicity of two. So, it corresponds to a factor of [tex](x+2)^2[/tex].

The root at [tex]x=3[/tex] cuts through the x-axis, and has a multiplicity of one. So, it corresponds to a factor of [tex](x-3)[/tex].

The root at [tex]x=7[/tex] bounces off the x-axis, and has a multiplicity of two. So, it corresponds to a factor of [tex](x-7)^2[/tex].

Answer:

y = 77

Step-by-step explanation:

[tex]\frac{7}{3}[/tex] = [tex]\frac{y}{33}[/tex] ( cross- multiply )

3y = 7 × 33 = 231 ( divide both sides by 3 )

y = 77

The answer to this math question is 77

Yes. The warehouse drivers deliver enough packages.

An expression is used to illustrate the information that's given.

In this case, the warehouse has 128 trucks. Each truck has 350 packages. The number of packages that van be delivered will be:

= Number of trucks × Amount in each package

= 128 × 350

= 44800

Since the drivers at a warehouse need to deliver 40,000 packages each day. this means they denied enough packages because 44800 is more than 40000.

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Given:

Let x be the cost of the Buffalo Bills jersey.

Let y be the cost of the Miami Dolphin jersey.

According to the question, we have

9x+3y=899.40.......(1)

12x+2y=1139.30.....(2)

From (1),

Substitute equation (3) in equation (2), we get

Then the value of y is,

Hence, the cost of the Buffalo Bills jersey is $89.95, and the cost of the Miami Dolphin jersey is $29.95.

Graph 1 contains the two angles in the domain 0 ≤ θ ≤ 360º that have cosine given by cos(θ)  = -3/5.

The sine and the cosine of an angle are represented in the unit circle, in which:

Hence the cosine of the angle is negative when the x-axis is negative, which happens in these following quadrants:

The only equation that can be solved in the context of this problem is:

cos(θ)  = -3/5.

The solution is composed by two angles, one in the second quadrant and one in the third quadrant, hence Graph 1 shows the correct solution.

The exact angles are found applying the inverse cosine function as follows:

θ = arccos(-3/5) = 126.9º = 233.1º.

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Answer:

2 1/2 (D)

Step-by-step explanation:

1 8/12 + 5/6

you have to make the denominator on the right equal to the denominator on the left. in order to do that, multiple the numerator and denominator on the left my two.

5/6 become 10/12.

1 8/12 + 10/12

1 18/12

Simplify,

2 6/12 (1/2)

Answer:

[tex]1\frac{8}{12}+\frac{5}{6}=2\frac{1}{2}[/tex]

SOLUTION

Step 1 :

We are meant to graph the function,

Step 2 :

The Transformations are Reflection, Vertical Shift and Horizontal Shift.

Step 3 :

The vertex is at ( - 2, 7 ) and it is a maximum.

Responder

y = x + 25

Explicación

El costo de pintar y, para pintar x pies cuadrados es $ 25 más $ 1.00 por pie cuadrado.

Entonces, si se van a pintar x pies cuadrados, la tarifa será

y = (1 × x) + 25

y = x + 25

¡¡¡Espero que esto ayude!!!

The area of the irregular figure will be equal to the sum of area of triangle and the area of the rectangle.

The required area can be determined as,

Thus, the required area of the irregular figure is 426 square feet.

if the parent function f(x) = |x| is transformed to h(x) = |x| - 3,

1. The transformation occurs from f(x) to h(x) is D. Shift down 3 units

2. The vertex is affected by:

3. The range will C. change from y ≥ 0 to y ≥ -3.

This is an ordered movement of image or object as seen in geometry. The instance here the movement is done by the graph f(x) and h(x) as described.

The type of movement described is called translation.

The range refers to the output of the graph and is typically the y direction.

The range here changed from the origin which is the initial vertex and included point y ≥ -3

It should be noted that the origin of the graph refers to the point y ≥ 0

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Answer: The answer is B. At least that is what I think the answer would be.

Step-by-step explanation: I hope this helps.

Answer:

The x intercept is 3.2, and the y intercept is -32.

Step-by-step explanation:

give brainiest

y-intercept is -32, x intercept is 3.2

Step-by-step explanation:

y-int is whatever b is in y=mx+b

x-int is whatever makes the equation equal to zero

Answer:

12 ft

Step-by-step explanation:

To find the base (b), you would first need to sketch a right triangle using the following:

a = 9

c = 15

Using the Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex], you would change it to [tex]c^{2} -a^{2} =b^{2}[/tex]  to fit the question. Next, you would plug in the numbers to the corresponding letter.

[tex]15^{2} -9^{2} =b^{2}[/tex]

[tex]225-81=144^{2}[/tex]

[tex]\sqrt{144} =b[/tex]

[tex]12=b[/tex]

The horizontal distance from the tent pole to the rope along the ground will be equal to 12 feet.

According to the Pythagoras theorem, if a triangle has a straight angle (90 degrees), the hypotenuse's square is equal to the total of its other two sides' squares.

As per the given in the question,

Height of tent pole, p = 9 feet

Height of rope, h = 15 feet

Let the horizontal distance from pole to rope is b.

Use Pythagoras' theorem,

h² = p² + b²

15² = 9² + b²

b² = 225- 81

b = √144

b = 12 feet.

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Jaleel and Angela purchased a bag of sugar and used it evenly so the amount of flour that they each need, based on their brownie recipes are:

Jaleel and Angela purchased a 20-cup bag of sugar and divided it evenly which means that they each get 10 cups of sugar.

The number of cups of sugar needed per cup of flour is:

= Change in sugar / Change in flour

= (3 - 1.5) / (2 - 1)

= 1.5 cups of sugar

The amount of flour needed would be:

= Number of cups of sugar / Cups of sugar per cup of flour

= 10 / 1.5

= 6 ²/₃ cups of flour

Angela's recipe shows that the cups of sugar needed per cup of flour is:

= (2 - 0) / (1 - 0)

= 2 cups of sugar

This means that with 10 cups of sugar, the amount of flour needed is:

= 10 x 1/2

= 5 cups of flour

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Answer:

48x

Step-by-step explanation:

15+2+7+15+2+7=48 + x = 48x

Hope this helps!

The radius of the full-size pool is 2 times greater than the radius of kiddie pool

The formula for determining the area of a circle is expressed mathematically as;

Area = πr²

Where;

From the information given, we have that;

Radius = √A/3

Where;

A is the radius of the circle

For the circular kiddie, we have;

Radius = √28/3

Find the ratio

Radius = √9. 3

Find the square root

Radius = 3 feet

For the circular pool

Radius = √ 113/3

Find the ratio

Radius = √37. 66

Find the square root

Radius = 6 feet

We then have;

Radius of the pool/radius of the kiddie pool

6/3

Find the quotient

2

Hence, the value is 2

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Answer:uhh

Step-by-step explanation:

Given the details above, the sequence of steps below shows that ABCD is a Trapezoid.

A trapezoid, also known as a trapezium, is a closed, flat object with four straight sides and one set of parallel sides. A trapezium's parallel sides are known as the bases, while its non-parallel sides are known as the legs.

Given:

The diagonals of the quadrilateral ABCD intersect at o where AO/BO = CO/DO; which also means that

AO/CO = BO/DO the proof is given as follows:

Create line OE || DC in a way that E lies on BC.

In ΔBDC, based on the Basic Proportionality Theory,

BO/OD = BE/EC ............................1

It is also given that:

AO/CO = BO/DO   ..........................2

Hence, from Equations 1 and 2,

AO/CO = BE/EC

Thus, we can state that on the basis of the Converse of the Basic Proportionality Theorem,

OE || AB

Since AB || OE || DC, it is correct to state that ABCD is a Trapezoid.

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Step-by-step explanation:

the sum of all angles in any quadrilateral is 360°.

so,

x + x + 3x + 8 + 3x + 8 = 360

8x + 16 = 360

8x = 344

x = 344/8 = 43°

3x + 8 = 3×43 + 8 = 129 + 8 = 137°

so, the angles are

43°

137°

43°

137°