Mathematics College

If f(x)=-4x^2+15,then f(-3)=??

Answers

Answer 1

The value of f(-3) for the given function f(x) = -4x² + 15 will be -21.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given function,

f(x) = -4x² + 15

Put x = -3

f(-3) = -4(-3)² + 15

⇒ -4 x 9 + 15

⇒ -36 + 15 = -21

Hence "The value of f(-3) for the given function f(x) = -4x² + 15 will be -21".

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Related Questions

PLEASE HELP WITH SOME GEOMETRY
Prove the following statement by contradiction using an indirect proof. In a triangle angle A = 90°, then the triangle is a right triangle. Which of the following choices would be the first step to temporarily assume?
angle A = 90°
the triangle is a right triangle
the triangle is not a right triangle
angle A is not 90°

Answers

The contradiction proof should start with a negation:
"The triangle is not a right triangle angle and A is not 90°"
Then you proof that this statement is false

Madison deposited a total of $5,000 between two saving accounts bearing simple interest. One of the accounts has an interest rate of 4% while the other rate is 5%. If the total interest earned after one year is $220, find the amount deposited into each of the accounts.

Answers

0.04x+0.05 (5000-x)=220
Solve for x to find the amount invested at 4%
0.04x+250-0.05x=220
0.04x-0.05x=220-250
-0.01x=-30
X=30÷0.01
X=3,000 invested at 4%

5000-3000=2000 invested at 5%

On average, Donna's Cafe has 18 customers, which represents 36% of the total approved occupancy by the fire department. a. What is the total approved occupancy of the cafe by the fire department? Total approved occupancy = customers b. According to the fire department's occupancy approval, what percentage of the cafe is still available for customers? Available occupancy percentage = % c. According to the fire department's occupancy approval, how many seats are still available for customers? Seats still available =

Answers

Customers = 18
Because this number is 36% of total approved occupancy. the maximum number of customers is
18/0.36 = 50

Part a.
Total approved occupancy = 50 customers

This means that available seats for customers are 50 - 18 = 32.
The available occupancy is
32/50 = 0.64 = 64%

Part b.
Available occupancy percentage for customers = 64%

Part c.
Number of seats still available for customers = 32


0.025 in scientific notation (step by step)

Answers

First, find out how many place values you must move the decimal in order to have it right after the first non-zero digit.
In this case, you must move the decimal to the right by 2 place values.
Then, write the number again, this time with the decimal placed after the first nonzero digit. In this case, write 2.5
In scientific notation, you have to multiply that number by 10^x
The x value is the number of place values you moved. In this case it is 2.
If you moved to the right, add a negative sign before it. If you moved the decimal to the left, keep it as a positive value.
Final answer: 2.5 x 10^-2

0.025 in scientific notation is 2.5 × 10⁻².

To express 0.025 in scientific notation, we need to convert the decimal form to a number multiplied by a power of 10.

Here's how you can do it step by step:

Start with the given decimal number: 0.025.

Identify the non-zero digit. In this case, it is 2.

Move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. Count the number of places you moved the decimal point. In this case, we moved the decimal point two places to the right.

0.025 -> 2.5

Write the non-zero digit (2.5) as a decimal number.

Finally, express the power of 10 that represents the number of places you moved the decimal point. Since we moved the decimal point two places to the right, the power of 10 is -2.

Putting it all together, we have:

0.025 = 2.5 × 10⁻²

Therefore, 0.025 in scientific notation is 2.5 × 10⁻².

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let f(x)=4x-1 and g(x)=2x^2+3. perform the function operation and then find the domain. To
f(x) + g(x)

Answers

hello : 
F(x)=4x-1 and g(x)=2x²+3.

f(x) + g(x) = 2x²+4x+2
 the domain oh : f+g is : R

Use appropriate algebra and theorem 7.2.1 to find the given inverse laplace transform. (write your answer as a function of t.) −1 s (s − 5)(s − 6)(s − 30)

Answers

When it comes to laplace equations, there are transformation equations to follow. Generally, when you want to transform a laplace equation, you change the equation from f(t) to F(s). If you do the reverse, it is called the reverse laplace equation.

Based on the given, the useful transformation equation is shown in the attached picture. The given equation is

[tex] \frac{-1}{s(s-5)(s-6)(s-30)} [/tex]

Breaking it into partial fractions,

[tex] \frac{-1}{s} * \frac{1}{s-5} * \frac{1}{s-6} * \frac{1}{s-30} [/tex]

From the given transformation equation:

-1/s ⇔ -e^0t ⇔ 1
1/(s-5) ⇔ e^-(-5t) ⇔ e^5t
1/(s-6) ⇔ e^-(-6t) ⇔ e^6t
1/(s-30) ⇔ e^-(-30t) ⇔ e^30t

Therefore, the laplace equation is equal to 1*e^5t*e^6t*e^30t which is simplified into e^41t,

which algebraic expression represents the phase

Answers

The keyword here is product.

A product is the result when multiplying.

Therefore, the answer here is B.

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the second equation is substituted into the first equation.


2x – 7y = 4

3x + y = –17

Answers

Equation 1: [tex]2x-7y=4[/tex]
Equation 2: [tex]3x+y=-17[/tex]

Rearranging equation 2 to make 'y' the subject

[tex]y = -17 - 3x[/tex] ⇒ Call this Equation 3

Substituting Equation 3 into Equation 1
[tex]2x-7(-17-3x)=4[/tex]
[tex]2x+119+21x=4[/tex]
[tex]23x+119=4[/tex]
[tex]23x=4-119[/tex]
[tex]23x=-115[/tex]
[tex]x=-5[/tex]

Then substitute x = -5 into either Equation 1 or Equation 2 to solve for 'y'

[tex]2x-7y=4[/tex]
[tex]2(-5)-7y=4[/tex]
[tex]-10-7y=4[/tex]
[tex]-7y=4+10[/tex]
[tex]-7y=14[/tex]
[tex]y=-2[/tex]

Note: the original question did not attach the option for the equation after substitution so you might want to follow the working out here carefully and match it with the options given.

Find the area under the standard normal curve between z = −2.57 and z = 1.27. Round your answer to four decimal places, if necessary.

Answers

P(-2.57 ≤ Z ≤ 1.27) = P(Z ≤ 1.27) - P(Z ≤ -2.57)

P(Z ≤ 1.27) = 0.8980
P(Z ≤ -2.57) = 1 - P(Z ≤ 2.57) = 1 - 0.99488 = 0.00512

P(-2.57 ≤ Z ≤ 1.27) = 0.8980 - 0.00512 = 0.89288
0.8929 (4 d.p.)

The area under the standard normal curve between z = −2.57 and z = 1.27 is, 0.8929

What is meant by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to give that,

To find the area under the standard normal curve between z = −2.57 and z = 1.27.

Now, the area under the standard normal curve is between z = −2.57 and z = 1.27 is,

P(-2.57 ≤ Z ≤ 1.27) = P(Z ≤ 1.27) - P(Z ≤ -2.57)

Since, P(Z ≤ 1.27) = 0.8980

And, P(Z ≤ -2.57) = 1 - P(Z ≤ 2.57)

= 1 - 0.99488

= 0.00512

Hence,

P(-2.57 ≤ Z ≤ 1.27) = 0.8980 - 0.00512

= 0.89288

= 0.8929

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jim sold 200 litters of soda at baseball game.How much is this in milliters?

Answers

1 liter = 1000 milliliter

1000 * 200 = 200000

So, 200000 milliliter is the answer.
Answer: 200,000 ml of soda

One liter is 1000 milliliters. To convert between them, multiply 200 by 1000 to get 200,000

Name the three different types of proof in math and give a description of each

Answers

I think the answer would be Paragraph Proof, The Flow Proof, and the Transformational proof. If you need the descriptions feel free to google it, or i can tell you that also!

How can I use context clues and keywords to translate situations into inequalities? Explain with an example of your own.

Answers

Consider the following example:

Mira and Lola are looking to hire a hall for their 18th birthday party. They are expecting at least 50 guests and want a hire that will accommodate the party. Write this requirement as an inequality 

Solution: the keyword here is 'at least' because it means that the hall must be able to accommodate a minimum of 50 people. It is a clue that Mira and Lola are expecting more than 50 guests. The inequality symbol for this context is 'more than or equal to' and as inequality, we have x ≥ 50
Final answer:

To translate situations into inequalities, use context clues and keywords. Start by understanding the relationships and factors involved. Then, represent the situation with variables and create an inequality based on the context clues. For example, if Bob earns $10 more than Alice, the inequality would be 'a < a + 10'.

Explanation:

In order to use context clues and keywords to translate situations into inequalities, it's important to understand the relationships and factors involved. Let's take an example:

Scenario: Suppose you have two friends, Bob and Alice. Bob earns $10 per hour more than Alice. In this case, we can use the following context clues:

The relationship between Bob and Alice: Their wealth is unequal.The factor involved: The difference in their earnings.

We can now translate this situation into an inequality:

Let's say Alice's earnings are represented by 'a'.Bob's earnings would be 'a + 10' (since he earns $10 more).The inequality can be represented as 'a < a + 10' (Alice's earnings are less than Bob's earnings).

By using the context clues and the keywords (earnings, difference), we were able to translate the situation into the inequality 'a < a + 10'.

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A pharmacist has 40% and 80% iodine solutions on hand .How many liters of each iodine solutions will be required to produce 6 liters of a 50% iodine mixture?

Answers

so... let's change the concentration percentage to decimal format. .. so 40% is just 4/100 or 0.4  and so on.

[tex]\bf \begin{array}{lccclll} &amount&concentration& \begin{array}{llll} concentration\\ amount \end{array}\\ &-----&-------&-------\\ \textit{40\% sol'n}&x&0.4&0.4x\\ \textit{80\% sol'n}&y&0.8&0.8y\\ -----&-----&-------&-------\\ mixture&6&0.5&3 \end{array}[/tex]

so... whatever "x" and "y" may be, we know the must add up to 6 liters.

and whatever 0.4x and 0.8y are, we also know, they must add up to a 3 of concentrated amount.

thus    [tex]\bf \begin{cases} x+y=6\implies \boxed{y}=6-x\\ 0.4x+0.8y=3\\ ----------\\ 0.4x+0.8\left( \boxed{6-x} \right)=3 \end{cases}[/tex]

solve for "x", to see how much of the 40% solution will be needed.

what about "y"?  well, y = 6 - x.

Which quantity is proportional to 20/5?

Answers

Well can you be a little more specific? There's an infinite amount. For example, there's 4, 8/2, 12/3, 16/4, and you get the idea.

If prices Increase at a monthly rate of 2.3%, by what percentage do they increase in a year?

Answers

In this question, the prices are Increased at a monthly rate of 2.3%. Since you are asked how much the percentage in a year and there is 12 month in a year, then you need to do the calculation 12 times.

The calculation would be (100%+2.3%)^12= 131.37344984%

That would be about 31.37% a year. 

Gabrielle's age is three times Mikhail's age. The sum of their ages is 44. What is Mikhail's age?

Answers

g=gabby's age
m=micsdjfsdf's age




g=3m

sum is add
g+m=44

subsitute 3m for g
3m+m=44
4m=44
divide by 4 both sides
m=11

mikhail is 11 year old
Mikhail is 11 yrs old because 11 times 3 is 33. 33 plus 11 is 44

an actor gains 20pounds for a part and then losses 15 pounds during the filming of the movie to go along with the story.who do you write a addition expression to describe this situation

Answers

Let the actor's initial weight be 'x'

He is then gaining 20 pounds. The clue is in the word 'gaining' as it means 'increasing' or in Mathematics can be related as 'plus'

The expression is: x+20

He then loses 15 pounds. The clue is in the word 'losses' as it means 15 pounds is to be subtracted from the last value

Last value is x + 20
The weight now is x + 20 - 15 = x + 5

How to solve 7.86 x 4.6

Answers

The answer is 34.156
Place the 7.86 on the top and the 4.6 on the bottom and multiply

Multiply and Dividing Rational Numbers

8/9 ÷ 2/3

7/8 × 1/4

3/4×1/6

Answers

essentially is just

[tex]\bf \cfrac{8}{9}\div \cfrac{2}{3}\implies \cfrac{8}{9}\cdot \cfrac{3}{2}\implies \cfrac{8\cdot 3}{9\cdot 2}\implies \cfrac{24}{18}\implies \cfrac{4}{3} \\\\\\ \cfrac{7}{8}\cdot \cfrac{1}{4}\implies \cfrac{7\cdot 1}{8\cdot 4}\implies \cfrac{7}{32} \\\\\\ \cfrac{3}{4}\cdot \cfrac{1}{6}\implies \cfrac{3\cdot 1}{4\cdot 6}\implies \cfrac{3}{24}\implies \cfrac{1}{8}[/tex]

HELP!! A spherical ball just fits inside a cylindrical can, 16 centimeters tall, with a diameter of 16 centimeters. Which expression gives the volume of the sphere in cubic centimeters?

Answers

formula for volume of a sphere is V=4/3 x pi x R63

if diameter = 16 than radius = 16/2 = 8

 so the equation would be 4/3 x pi x 8^3

2/3 of a number is 32, what is the number?

Answers

2/3×a=32
a=32×3/2
a=96/2
a=48
The number is 48

2/3n = 32
Integers:- 3/2•2/3 = 32/1 = 3/2 = 96/2 = 48


What's the next value?
1 I 2 L 3 F 4

Answers

Based on the pattern, 1 I 2 L 3 F ... the number corresponds to the number of lines of the letter. 1 refers to the vertical line in I. 2 refers to the vertical and horizontal lines that form L. 3 refers to the vertical and 2 horizontal lines that form F. So, 4 will most likely refer to E, one vertical line and 3 horizontal lines. 
Based on the pattern, 1 I 2 L 3 F ... the number corresponds to the number of lines of the letter. 1 refers to the vertical line in I. 2 refers to the vertical and horizontal lines that form L. 3 refers to the vertical and 2 horizontal lines that form F. So, 4 will most likely refer to E, one vertical line and 3 horizontal lines.
Brainliest answer plzzzz

A company uses a variable percentage markup of 35% .if the total cost of a product is $15,what is its selling price

Answers

Final answer:

The selling price of a product with a 35% markup on a cost of $15 is calculated by adding the markup amount of $5.25 to the cost, resulting in a selling price of $20.25.

Explanation:

To calculate the selling price of a product using a variable percentage markup, you first need to determine the amount of markup by converting the percentage to a decimal and multiplying by the cost of the product. In this case, with a 35% markup on a product that costs $15, the calculation is as follows:

$15 × 0.35 = $5.25

This $5.25 represents the amount of markup on the product. To find the selling price, you simply add the markup to the cost:

$15 + $5.25 = $20.25

Therefore, the selling price of the product would be $20.25.

True or false: the difference between the lower limit of a confidence interval and the point estimate used in constructing the confidence interval is called the sampling error.

Answers

Its true.
Sampling error is an error which is calculated by finding the difference between the lower limit or upper limit of a confidence interval and the point estimate used in constructing the confidence interval.
As we can calculate the difference, so sampling error can be positive or negative.

amy has 72 sweets in bag.she keeps 1/4 of them for herself,but shares the remainder between 6 of her friends.how many sweets will she give to each of her friends?

Answers

Amy keeps 18 sweets. find this by dividing 72 by 4

she has 54 left to share 

54 divided by 6 is how many sweets each friend will get 

Each friend gets 9 sweets




An apple farmer has planted 0.3 of his orchard with cherry trees. The orchard is 8.59 acres in size. How many acres are planted with cherry trees

Answers

0.3(8.59) = 2.577 rounds to 2.58 acres

Find the area of a triangle with legs that are: 15mm,10mm,20mm

Answers

To calculate the area of triangle with three sides we use Heron's formula, 
Area=sqrt(s(s-a)(s-b)(s-c))
where:
s=(a+b+c)/2
thus, 
s=(15+10+20)/2
=22.5
hence the area will be:
Area=sqrt(22.5(22.5-15)(22.5-10)(22.5-20)) 
Area=sqrt(22.5*7.5*12.5*2.5)
=sqrt5273.4375
=72.62 mm^2

The area of a triangle with legs that are 15 mm, 10 mm, and 20 mm is [tex]72.618 mm^{2}[/tex]

Further Explanation;Area  Area is a measure of how much space is occupied by a given shape. Area of a substance is determined by the type of shape in question.

For example;

Area of a rectangle is given by; Length multiplied by width Area of a circle = πr². where r is the radius of a circle, Area of a square = S², Where s is the side of the square.etc.Area of a triangle The area of a triangle is given based on the type of the triangle in question.Right triangle.The area of a right triangle is given by;

                    =  1/2 x base x height

Scalene triangleIt is a triangle that with sides and angles that are not equal.Area of a scalene triangle depends on the features of the triangle given.

For example;

Sine FormulaArea of a triangle = 1/2 ab sin θ, when given two sides of the triangle and the angle between themHeron's formulaArea of a triangle = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex] when given all the sides of the triangle.             where [tex]s =\frac{(a+b+c)}{2}[/tex]

In this case we are given, a = 15 mm, b = 10 mm, c = 20 mm

Therefore, we use the Heron's formula;

Area= [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

 [tex]s =\frac{(a+b+c)}{2}[/tex]

[tex]s= \frac{(15+10+20)}{2} \\s= 22.5[/tex]

Therefore;

Area = [tex]s\sqrt{s(s-a)(s-b)(s-c)}[/tex]

       = [tex]22.5\sqrt{22.5(22.5-15)(22.5-10)(22.5-20)}[/tex]

       =[tex]\sqrt{22.5(7.5)(12.5)(2.5)} \\\sqrt{5273.4375}[/tex]

[tex]= 72.618 mm^{2}[/tex]

Keywords: Area, Area of a triangle, Heron's formula, Sine formula, Scalene triangle.

Learn more about: Perimeter: https://brainly.com/question/12905000 Area: https://brainly.com/question/12905000 Area of a triangle: https://brainly.com/question/4125306Heron's Formula:  https://brainly.com/question/10713495

Level: Middle school

Subject; Mathematics  

Topic: Area

Sub-topic: Area of a triangle

A study of sleep patterns randomly selected participants in the study to sleep in either a dark room or a room with light.

Which element of experiment design is known to be a part of this study?

A.
blinding

B.
replication

C.
randomization

Answers

the answer is c: randomization

Answer:

C.  randomization

Step-by-step explanation:

We are told that the study randomly selects participants in the study to sleep in either a dark room or a room with light.  This means that randomization is part of the study.

Can anyone help me solve a trigonomic identity problem and also help me how to do it step by step?

it's ((cos theta) * (cot theta))/(1-sin theta) - 1 = csc theta

Answers

[tex]\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)} \qquad csc(\theta)=\cfrac{1}{sin(\theta)} \\\\\\ sin^2(\theta)+cos^2(\theta)=1\\\\ -------------------------------\\\\[/tex]

[tex]\bf \cfrac{cos(\theta )cot(\theta )}{1-sin(\theta )}-1=csc(\theta )\\\\ -------------------------------\\\\ \cfrac{cos(\theta )\cdot \frac{cos(\theta )}{sin(\theta )}}{1-sin(\theta )}-1\implies \cfrac{\frac{cos^2(\theta )}{sin(\theta )}}{\frac{1-sin(\theta )}{1}}-1\implies \cfrac{cos^2(\theta )}{sin(\theta )}\cdot \cfrac{1}{1-sin(\theta )}-1 \\\\\\ \cfrac{cos^2(\theta )}{sin(\theta )[1-sin(\theta )]}-1\implies \cfrac{cos^2(\theta )-1[sin(\theta )[1-sin(\theta )]]}{sin(\theta )[1-sin(\theta )]}[/tex]

[tex]\bf \cfrac{cos^2(\theta )-1[sin(\theta )-sin^2(\theta )]}{sin(\theta )[1-sin(\theta )]}\implies \cfrac{cos^2(\theta )-sin(\theta )+sin^2(\theta )}{sin(\theta )[1-sin(\theta )]} \\\\\\ \cfrac{cos^2(\theta )+sin^2(\theta )-sin(\theta )}{sin(\theta )[1-sin(\theta )]}\implies \cfrac{\underline{1-sin(\theta )}}{sin(\theta )\underline{[1-sin(\theta )]}} \\\\\\ \cfrac{1}{sin(\theta )}\implies csc(\theta )[/tex]

Convert decimal +49 and +29 to binary, using the signed‐2’s‐complement representation and enough digits to accommodate the numbers. then perform the binary equivalent of (+29) + (-49), (-29) + (+49), and (-29) + (-49). convert the answers back to decimal and verify that they are correct.

Answers

To solve this problem, let us first find for the binary equivalents of the numbers. They are:

Decimal --> Binary

+ 29 --> 00011101

+ 49 --> 00110001

- 29 --> 11100011

- 49 --> 11001111

Now we apply the normal binary arithmetic to these converted numbers:

(+ 29) + (- 49) ---> 00011101 + 11001111 = 11101100 ---> - 20 (TRUE)

(- 29) + (+ 49) ---> 11100011 + 00110001 = 00010100 ---> + 20 (TRUE)

(- 29) + (- 49) ---> 11100011 + 11001111 = 10110010 ---> - 78 (TRUE)

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