parent function of y=x^2-5? (x squared)

\(\textit{surface area of a sphere}\\\\ SA = 4\pi r^2~~ \begin{cases} r= radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies SA=4\pi (9)^2\implies SA=324\pi\)

Answer:

33.75

Step-by-step explanation:

.75×15=11.25

1.50×15=22.5

11.25+22.5=33.75

have a good day!

Answer = A)$33.75

Step-by-step explanation:

0.75+ 1.50 = 2.25

2.25 x 15 = 33.75

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD

The solutions to x = 4 are: (4, 1). The other ordered pairs are not solutions to the equation.

What is Set theory ?

Set theory is a branch of mathematical logic that deals with the study of sets, which are collections of objects. The objects in a set are called elements or members of the set.

The basic idea of set theory is to study the properties of sets and their relationships with other sets. Set theory provides a foundation for most of modern mathematics, as it provides a way to define mathematical objects in terms of sets and to reason about them using set-theoretic operations.

In set theory, the most basic concepts are sets, elements, and subsets. A set is a collection of distinct objects, which can be anything from numbers to colors to people. An element is a member of a set, and a subset is a set whose elements are all contained in another set.

To determine whether each ordered pair is a solution to x = 4, we need to check whether the value of x in each pair is equal to 4.

Therefore, the solutions to x = 4 are: (4, 1). The other ordered pairs are not solutions to the equation.

Learn more about ordered pair click here:

https://brainly.com/question/1528681

#SPJ1

The area of the circle with the given radius is 201.088 square units.

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the radius of a circle is 8 units.

Here, area of a circle

= 3.142×8²

= 3.142×64

= 201.088 square units

Therefore, the area of the circle is 201.088 square units.

Learn more about the area of a circle here:

brainly.com/question/28642423.

#SPJ9

Answer:

Step-by-step explanation:

Let's break down the expression step by step:

Nine raised to the power of 1/3:

9^(1/3) = ∛9 = 2.0801

Twenty-seven raised to the power of 1/2:

√27 = 5.1962

Two raised to the power of 1/6:

∛2 = 1.1225

Combining the previous results:

(2.0801 * 5.1962) / 1.1225

Three raised to the power of 1/3:

∛3 = 1.4422

Combining the final result:

(2.0801 * 5.1962) / 1.1225 * 1.4422

(2.0801 * 5.1962) / 1.1225 * 1.4422 ≈ 9.7085

Therefore, the value of the given expression is approximately 9.7085.

Step-by-step explanation:

to control fever a doctor recommend that a child should be given one mg of certain medicine for every 0. 07 kg body weight if the those is proportional to the body weight of the child then the quantity of medicine for a child of body weight to 24.92 kg

Answer:

\(17x + 5 < 22 \\ 17x < 22 - 5 \\ 17x < 17 \\ x < 1\)

Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

Answer:

simple interest=$97.50.

compound interest= $100.668

Step-by-step explanation:

Given:

Principal (P) = $750

Rate (R) = 6.5% (in decimal form, 0.065)

Time (T) = 2 years

Simple Interest = Principal*Rate*Time

Using the formula, the simple interest is calculated as follows:

Simple Interest = $750*0.065*2 = $97.50

Therefore, the simple interest for $750 with a 6.5% interest rate over 2 years is $97.50.

Again:

Compound Interest = Principal*(1 + Rate)^(Time)-Principal

Using the same values as above, the compound interest can be calculated as follows:

Compound Interest = $750*(1+0.065)^(2)-$750

= $750*1.065^2 -$750

= $750 × 1.134225 - $750

= $850.66875-$750

= $100.668

Therefore, the compound interest for $750 with a 6.5% interest rate over 2 years is $100.668

Divide distance by time:

10.5 inches / 3 seconds = 3.5 inches per second

Answer: 3.5 inches per second

Answer: 31.5

Step-by-step explanation: you multiply the inches by the second.

The answer will be 7.45628

Answer:

y = (2/7)x - 7

Step-by-step explanation:

3.6 years will have passed when 115 grams of thorium 234 is left.

(a) To find the amount of thorium 234 left after 0.5 years, we can substitute t = 0.5 and A0 = 1000 into the given equation and solve for At:

\(A_t = A0e^{(-10.498t)}\\\\A_t = 1000e^{(-10.498(0.5))}\\\\A_t = 679.6\ grams\)

Therefore, approximately 679.6 grams of thorium 234 will be left after 0.5 years.

(b) To find when 115 grams of thorium 234 will be left, we can set At = 115 in the given equation and solve for t:

\(A_t = A_0e^{-10.498t}\\\\115 = 1000e^{-10.498t}\\\\ln(115/1000) = -10.498t\\\\t = 3.6\ years\)

Therefore, approximately 3.6 years will have passed when 115 grams of thorium 234 is left.

Learn more about exponential functions here:

https://brainly.com/question/3181916

#SPJ1

F(x) = 2x³ - x² + 5x − 3 is the polynomial that is in standard form. Thus, option D is correct.

Algebraic expressions called polynomials can include exponents that are multiplied, divided, or added. Different types of polynomials exist. specifically, monomial, binomial, and trinomial. A polynomial with only one term is referred to as a monomial. A polynomial with two unlike terms is referred to as a binomial. An algebraic expression with three terms is known as a trinomial.

Monomials - The term "monomial" refers to algebraic expressions with a single term. In other words, it is an expression that includes any number of similar terms. Hence the name "Bi"nomial," binomials are algebraic expressions with two unlike terms. Trinomials - Trinomials are algebraic expressions with three dissimilar terms, hence the name "Tri"nomial.

Learn more about polynomials

https://brainly.com/question/11536910

#SPJ1

Answer:

(- 2, - 4 )

Step-by-step explanation:

4x - 3y = = 4 → (1)

3x + 3y = - 18 → (2)

adding the equations term by term will eliminate y

(4x + 3x) + (- 3y + 3y) = 4 - 18

7x + 0 = - 14

7x = - 14 ( divide both sides by 7 )

x = - 2

substitute x = - 2 into either of the 2 equations and solve for y

substituting into (2)

3(- 2) + 3y = - 18

- 6 + 3y = - 18 ( add 6 to both sides )

3y = - 12 ( divide both sides by 3 )

y = - 4

solution is (- 2, - 4 )

Answer: -pi/4 and 3pi/4

Step-by-step explanation:

Whenever you're given an inverse trig function like this, think "tangent of what gives me -1?" There are multiple ways in which you can solve this; knowing how tangent work, guess checking sin/cos to get -1, or using a calculator. The only way tangent can be an integer is if the sine and cosine of the angle are equal.

The only spots on the pi circle where this happens is pi/4, 3pi/4, 5pi/4, and 7pi/4. Answers B and D are correct

Answer:

b

Step-by-step explanation:

just did it on edg 2020

Answer:

20

Step-by-step explanation:

You would divide 35 by 4/7 and you would get 20.

Jaden is 35 inches tall. He is 4/7 as tall as his brother, so his brother is 61 inches taller than him .

Given:

Represent Jaden with j and his brother with B.

The first statement implies that:

\(J = 35\) \(in\)

The second statement implies that:

\(J = \frac{4}{7}\)\(B\)

Required

Find B

\(J = \frac{4}{7}B\) and \(J = 35\) \(in\)

Equate both expressions:

\(J = J\)

\(\frac{4}{7} B = 35\)

Multiply both sides by \(\frac{7}{4}\)

\(\frac{7}{4} * \frac{4}{7} B = 35 * \frac{7}{4}\)

\(B= 35* \frac{7}{4}\)

\(B = \frac{35 * 7}{4}\)

\(B= \frac{245}{4}\)

\(B= 61.25 in\)

\(B = 61 in\)--- approx.

Hence, his brother is 61 inches tall.

Learn more about Inches here :

brainly.com/question/824345

#SPJ2

Answer:

(a) x=5

(b) x= -1 1/3

(c) x= 1

Step-by-step explanation:

(a)                       (b)                        (c)

2(x-3)=4           −3(2x+1)=5          a(bx+c)=d

x−3=4/2           2x+1= −  5/3          d^1−1

x−3=2               2x= -5/3-3/3        d^0

x=2+3                 2x= -5-3/3           x=1

x=5                    2x= -8/3*2

                          x= -8/6

                          x= -4/3

2x² - 6x = -7 equation has  imaginary solutions

To determine if an equation has imaginary solutions, we can examine the discriminant of the quadratic equation

x² + 3x - 5 = 0

a = 1, b = 3, c = -5

Discriminant = (3)² - 4(1)(-5) = 9 + 20 = 29

The equation has two real solutions

x⁴ - 5x ^ 2 + 3 = 0

This equation is a quartic equation, not a quadratic equation. Quartic equations can have both real and imaginary solutions

2x² - 6x = -7

2x^2 - 6x + 7 = 0

a = 2, b = -6, c = 7

Discriminant = (-6)²- 4(2)(7) = 36 - 56 = -20

Since the discriminant (-20) is negative, the equation has two complex (imaginary) solutions.

-3x² = -5

Dividing both sides by -3, we get:

x²= 5

a = 1, b = 0, c = -5

Discriminant = 0² - 4(1)(-5) = 20

The equation has two real solutions.

Hence, 2x² - 6x = -7 equation has imaginary solutions

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer:middle connection point

Step-by-step explanation:

The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.

The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.

Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).

The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).

To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.

In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.

for such more questions on parabola

https://brainly.com/question/29635857

#SPJ8

Step-by-step explanation:

Area of equalaterial triangle is 1/2bh

Here the base is 7.

The height is 4.2

\( \frac{1}{2} (7)(4.2) = 14.7\)

Answer: B. I and IV only

Step-by-step explanation:

     We can look at the rectangle already graphed. Since it is being rotated, parallel sets of sides will be parallel in ABCD and A'B'C'D'

I. A'B' and D'C'

      -> True

II. A'D' and D'C'

      -> False

III. A'B' and A'D'

      -> False

IV. A'D' and B'C'

      -> True

This means your answer is option B.

I and IV only

Using a system of equations, for Madelyn to add a certain number of charms to her bracelet, where the cost will be the same at either jewelry shop, the number of chams would be 5.

When two or more equations are solved concurrently, they are described as a system of equations.

Another description of a system of equations is simultaneous equations.

                                       Oxford Fine    Espinoza

Unit cost per charm              $12                 $14

The cost of the bracelet      $40                $30

Let the number of charms = c

Equation 1: (Costs at Oxford Fine) 12c + 40

Equation 2: (Costs at Espinoza) 14c + 30

For the cost to be the same at either jewelry shop, Equation 1 must equal Equation 2:

12c + 40 = 14c + 30

-2c = -10

c = 5

Check:

12c + 40

12(5) + 40 = $100

14c + 30

14(5) + 30 = $100

Learn more about simultaneous equations at https://brainly.com/question/16863577

#SPJ1

Answer:

D. \( y = \frac{8}{x} \)

Step-by-step explanation:

The inverse variation between two variables usually takes the following equation form:

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

In the equation form given above,

\( k \) could be value of any real number

x is the explanatory variable (independet variable), while y is the response variable (dependent variable)

Therefore, \( y = \frac{8}{x} \) , is an example of an equation that shows inverse variation between the x and y variables.

 The right option is D. \( y = \frac{8}{x} \)

Answer:

The sum is 12.5

Step-by-step explanation:

Answer:

1. C

2. B

3. A

4. D

5. B

6. C

7. B

8. C

9. C

10. B

11. A

12. D

13. B

14. A

15. A

Step-by-step explanation:

Connexus Sequences and Series Online Practice

100%

Answer:

2.4 × 10^-2

Step-by-step explanation:

You can do a sort of "undistributive" property and factor out the 10^-2 and then add the 1.2+1.2

1.2×10^-2 + 1.2×10^-2

= 10^-2(1.2 + 1.2)

= 10^-2(2.4)

= 2.4 × 10^-2

OR you can change from scientific notation to standard and add them and change back to sci. not. See image.

Answer:

Answer is given below.

Step-by-step explanation:

let us solve the numerator first

=4x²-14x+6

=2(2x²)+2(-7x)+2(3)

= GCF of the terms of the numerator is 2.

denominator

x³-7x²+12x

x(x²)+x(-7x)+x(12)

GCF of the terms of the denominator is x.

factorise the numerator

4x²-14x+6

4x²-2x-12x + 6  (by splitting the middle term; the numbers should produce the product  4*6 and when the no.s are added they should give -14)

(4x²-2x) + (-12x+6)

2x(2x-1) -6(2x-1)

(2x-6)(2x-1)

factors are

(2x-6), (2x-1)

denominator

this can also be done by splitting the middle term

x³-7x²+12x

x³-3x²-4x²+12x

(x³-3x²) + (-4x²+12x)

x²(x-3) -4x(x-3)

(x²-4x)(x-3)

factors are

(x²-4x), (x-3)

Answer: 6

Step-by-step explanation:

hope this is the right answer :)

Answer:

900 meters long

Step-by-step explanation:

Toby is riding his bicycle at 15 m/s. If it takes him 60 seconds to get to the end of the street. What was the length of the street?

at 15 meters per second for 60 seconds:

= time * speed

60* 15= 900 meters traveled,

so the street is 900 meters long.