Harold is on the diving team at school. The platform he uses is about 5 yards above the pool. On his best dive, he jumps an extra foot in the air before doing a flip. How many feet is he from the pool at the highest point of his jump?

Step-by-step explanation:

[tex] \frac{5}{8} (4x - 16) = 20[/tex]

[tex] \frac{5}{2} x - 10 = 20[/tex]

[tex] \frac{5}{2}x = 20 - 10[/tex]

[tex]x = 4[/tex]

Answer:

50

Step-by-step explanation:

2/100 of X=1

Multiply both sides by 100 to remove the hundred base

The resultant will be 2x=100

X= 50

Answer:

10% of $24 is $2.40 so $2.40X 2 =$4.80

Answer:

they can do math (Barber, Kitchens, & Barber, 1997). ... How much flour will you need to make half of the recipe? ... 2 pinches = ____ teaspoon(s) . 11. 16 cups = ____ gallon(s). 25. 120 quarts = ____ ...

Answer:

I think is c im not that sure

Step-by-step explanation:

because im learning this today

Answer:

your answer would be A f(x)=500(1.057)x

Step-by-step explanation:

The required exponential function, f(x), models the tons of cherries produced by Cherry Hill Orchards x years after 2012 is [tex]f(x) = 500(1.057)^x[/tex]. Option A is correct.

An exponential function is a mathematical function of the form [tex]f(x) = a^x[/tex], where a is a constant (called the base of the exponential function) and x is the independent variable. In this function, the base a is raised to the power of x, resulting in an output value that grows or decays rapidly depending on whether the base is greater or less than 1.

Here,
The exponential growth model that can be used to represent the tons of cherries produced by Cherry Hill Orchards x years after 2012 is:

[tex]f(x) = 500(1.057)^x[/tex]

Here, 500 represents the initial tons of cherries produced by the orchard in 2012 and [tex](1.057)^x[/tex] represents the annual increase in production, compounded annually.

Therefore, the correct option is (A) [tex]f(x) = 500(1.057)^x[/tex].

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Answer:

90.49

Step-by-step explanation:

the answer is 90.49, hope this helps!

Answer:

the asnwer is

Step-by-step explanation:

infinite solutions because 2(x-2) it equals 2x-4 and that is the first euqation

making 2x-4=2x-4 which is right

Answer:

Classifying Polynomials

Polynomials can be classified two different ways - by the number of terms and by their degree.

1. Number of terms.

A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.

A binomial has two terms. For example: 5x2 -4x

A trinomial has three terms. For example: 3y2+5y-2

Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2

Practice classifying these polynomials by the number of terms:

1. 5y

2. 3x2-3x+1

3. 5y-10

4. 8xy

5. 3x4+x2-5x+9

Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial

2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

Examples:

5x2-2x+1 The highest exponent is the 2 so this is a 2nd degree trinomial.

3x4+4x2The highest exponent is the 4 so this is a 4th degree binomial.

8x-1 While it appears there is no exponent, the x has an understood exponent of 1; therefore, this is a 1st degree binomial.

5 There is no variable at all. Therefore, this is a 0 degree monomial. It is 0 degree because x0=1. So technically, 5 could be written as 5x0.

3x2y5 Since both variables are part of the same term, we must add their exponents together to determine the degree. 2+5=7 so this is a 7th degree monomial.

Classify these polynomials by their degree.

1.7x3+52+1

2.6y5+9y2-3y+8

3.8x-4

4.9x2y+3

5.12x2

Answers 1) 3rd degree 2) 5th degree 3) 1st degree 4) 3rd degree 5) 2nd degree

The polynomial 3x² + 8x  is a quadratic binomial.

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

Given, A polynomial 3x² + 8x.

Now, The highest power of the variable is 2 hence it is a quadratic polynomial and the number of terms is 2 hence it is a binomial also.

So, The polynomial 3x² + 8x is a quadratic binomial.

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numerele care apartin si lui a si lui b sunt:

15

a/b={3,9,21,27}

b/a={5,25}

b)

in total sunt 15 numere impare pana la 30(cazuri posibile)

numai 7 numere apartin lui AUB(cazuri favorabile)

probabilitatea= cazuri favorabile/cazuri posibile

probabilitatea=7/15

crown?

Answer:

y -10 = -1/9 (x-9)

Step-by-step explanation:

Point slope form is

y-y1 = m (x-x1)

y -10 = -1/9 (x-9)

Answer:

[tex]1\frac{7}{8}[/tex]

Step-by-step explanation:

In order to find the answer to this question you must convert the mixed numbers into improper fractions and then subtract.

[tex]5\frac{1}{2} -3\frac{5}{8}[/tex]

Convert into improper fractions

[tex]5\frac{1}{2} =2\times5+1=\frac{11}{2}[/tex]

[tex]3\frac{5}{8} =8\times3+5=\frac{29}{8}[/tex]

Now subtract by finding the common denominator:

[tex]\frac{11}{2} \times 4 = \frac{44}{8}[/tex]

[tex]\frac{29}{8} \times1=\frac{29}{8}[/tex]

[tex]44 -29=15[/tex]

[tex]=\frac{15}{8} /1\frac{7}{8}[/tex]

Hope this helps.

Answer:

A. 3/2

Step-by-step explanation:

rise/run

from (0,1) to (2,4) the y will rise 3 and the x will go right by 2

Answer:

4782969

Step-by-step explanation:

Answer:

[tex]\sqrt[7]{3^{2}}[/tex]

Step-by-step explanation:

[tex]3^{2/7}[/tex]

^ That is 3 to the 2/7ths power. We know that. Now it needs to be in radical form. That takes a bit of thinking.

If you have a power that is less than one (like 1/2) it is can be written as a root. So say you're given [tex]2^{1/2}[/tex]. That is the same exact thing as saying [tex]\sqrt{2}[/tex]. It's the same thing. You can say it either way.

In the same way, a squared power, like [tex]2^{2}[/tex], is the same as representing it like a fraction, like [tex]2^{2/1}[/tex]. They both mean the same thing.

So by pointing these out, a fraction power = the power / the root.

If that makes sense.

So, with this in mind, let's look at what we have again.

[tex]3^{2/7}[/tex]

So we can split it up to say that 3 is raised to a 2nd power times a 1/7th power.

So we know what a 3 to the 2nd power is: [tex]3^{2}[/tex].

And since we have a fraction that's also included, we now know that is a root. So we can represent that like this: [tex]\sqrt[7]{3}[/tex].

But those two answers need to be combined. We can do that like this: [tex]\sqrt[7]{3^{2}}[/tex]

Answer: [tex]\sqrt[7]{3^{2}}[/tex]

So there it is! I hope that helped you!!

Answer:

[tex]V=55212651.6\ \text{inches}^3[/tex]

Step-by-step explanation:

Given that,

The radius of a sphere, r = 6 m

We know that,

1 m = 39.37 inches

6 m = 236.22 inches

The volume of the sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\pi \times 236.22^3\\\\V=55212651.6\ \text{inches}^3[/tex]

So, the required volume of the sphere is equal to [tex]55212651.6\ \text{inches}^3[/tex].

Answer:

$2.54 per gallon

Step-by-step explanation:

30.48 / 12 = 2.54

Answer:

$2.54

Step-by-step explanation:

30.54 / 12 = 2.54

Hence, the weight of each cat is [tex]68.57[/tex].

What is the division?

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.

Here given that,

A lion weighs [tex]7[/tex] times as much as a leopard. The combined weight of the cats is [tex]480[/tex] pounds.

So, the weight of each cat is [tex]\frac{480}{7}=68.57[/tex].

Hence, the weight of each cat is [tex]68.57[/tex].

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Answer:

Step-by-step explanation:

1). In ΔABC,

   For angle A as a reference angle,

   Opposite side of ∠A → BC

   Adjacent side of ∠A → AC

   Hypotenuse → AB

2). By using tangent ratio in ΔYWZ,

    tan(72°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

    tan(72°) = [tex]\frac{12}{x}[/tex]

    x = [tex]\frac{12}{\text{tan}(72)}[/tex]

    x = 3.899

    x ≈ 3.9

3). By using sine rule in ΔKNM,

    tan(x°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

    tan(x) = [tex]\frac{20}{58}[/tex]

    x = [tex]\text{tan}^{-1}(\frac{20}{58} )[/tex]

    x = 19.03

    x ≈ 19.0°

4). By applying cosine ratio in ΔJKF,

    tan(70°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

    tan(70) = [tex]\frac{60}{x}[/tex]

    x = [tex]\frac{60}{\text{tan}(70)}[/tex]

    x = 21.838

    x ≈ 21.8

Answer:

D. The slope is 2.  The y-intercept is (0,-4)

Step-by-step explanation:

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\= \frac{4-(-4)}{4-0}\\= \frac{4+4}{4}\\= \frac{8}{4}\\= 2[/tex]

y- intercept is where x equal to 0, according to the chart, y-int is (0,-4)

so the answer is D. The slope is 2.  The y-intercept is (0,-4)

Answer:

x= 4

The number is 4

Step-by-step explanation:

Make it into an equation

1/4x + 3 = 4

1/4 = 4-3

1/4x = 1

x= 1 × 4

x= 4

Answer:

[tex](x - y) \times (x + y)( {x }^{2} + {y}^{2} )[/tex]

Step-by-step explanation:

[tex](x ^{2} - y ^{2} ) \times (x ^{2} + y ^{2} )[/tex]

[tex] ({x} - y) \times (x + y) \times {x }^{2} + y ^{2} )[/tex]

Answer:

1A: (2,1); (2,4); (6,1); (3,4)

1B: (4,2); (4,8); (12,2); (6,8)

Step-by-step explanation:

1A: It's pretty straightforward-- identify the coordinates for each vertex.

1B: If it's being dilated by a factor of 2, then each vertex is going to be multiplied by a factor of 2. So our vertices would be: (4,2); (4,8); (12,2); (6,8).

Hope this helped!

The coordinates of a point, or points (ABCD) following a dilation about the origin is given by the product of the point and the scale factor of dilation

The description, vertices of the figure, and the new vertices are;

Reason:

1. The quadrilateral is a trapezium

2. The vertices of the quadrilateral are given by the coordinates of the points A, B, C, and D, in the figure, which are;

A(2, 1), B(2, 4), C(3, 4), D(6, 1)

3. Dilating the quadrilateral by a scale factor of two about the origin gives;

Coordinates of A' = (2×2, 2 × 1) = (4, 2)

Coordinates of B' = (2×2, 2 × 4) = (4, 8)

Coordinates of C' = (2×3, 2 × 4) = (6, 8)

Coordinates of D' = (2×6, 2 × 1) = (12, 2)

The new coordinates of the vertices of the quadrilateral following a dilation by a scale factor of two are; (4, 2), (4, 8), (6, 8), and (12, 2)

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Answer:

5 hours

Step-by-step explanation:

4/8 is simply 1/2 and 1/2 times 2 is 1

so 2 1/2 times 2 is 5 hours

Answer:

6(11)+4=70

5(11)=55

70²+55²

=7259

square root if 7259=85.20

and that's your answer

Goodnight

Answer:

dfjibneiuhdihsadiuhgasd

Step-by-step explanation:

you did this to my question

Answer:

show me the dentist appointment Leventhal and a toothache now

Answer:

-1

Step-by-step explanation: