Answer:
0.6
Step-by-step explanation:
The the exponent is positive , move it 3 times to the right.
If it was a negative exponent , you would move it to the left.
Students were asked to write 6x^5 + 8x-3x^3+7x^7 in standard form
The standard form is [tex]7x^7 + 6x^5 -3x^3 + 8x[/tex]
Solution:
Given that we have to write the given equation in standard form,
[tex]6x^5 + 8x - 3x^3 + 7x^7[/tex]
In order to write any polynomial in standard form, you look at the degree of each term. You then write each term in order of degree, from highest to lowest, left to write
The terms are ordered from biggest exponent to lowest exponent
In the given equation,
[tex]6x^5 + 8x - 3x^3 + 7x^7[/tex]
7 is the highest exponent. So we write the standard form as,
[tex]7x^7 + 6x^5 -3x^3 + 8x[/tex]
Thus the terms are arranged from highest exponent to lowest exponent
The standard form of the polynomial in 6x^5 + 8x-3x^3+7x^7 is
7x^7 +6x^5+ 8x-3x^3 ].
What are polynomials in standard form?Polynomials can simply be explained as expressions of algebraic inclinations that bear variables and coefficients.
When polynomials are expressed in a way where the term with the highest degree is written first, the polynomial is said to be in its standard form.
Therefore, 7x^7 +6x^5+ 8x-3x^3 is the standard form
More on Polynomial
https://brainly.com/question/17822016
Write an equation in point-slope form for the Line through the given point with the given slope.
(3,-8); m= -0.24
the equation is y-y1 =m (x,x1)
A new pair if shoes will cost you $86 if you buy them on black friday. They will be dicounted 45%. How much will you save if you wait until black Friday
Answer:
saving amount=$38.7
Step-by-step explanation:
given cost price=$86
discount on black friday=45%
selling price=cost price(1-discount%)
selling price=86(1-[tex]\frac{45}{100}[/tex])
selling price=86([tex]\frac{55}{100}[/tex])
selling price=$47.3
saving amount=$86-$47.3=$38.7
saving amount=$38.7 answer
To find the savings on the shoes, multiply the original price by 45% to find the discount amount, then subtract it from the original price. The savings amount to $38.70.
You want to know how much you will save on a new pair of shoes that costs $86 if they are discounted by 45% on Black Friday. To calculate the savings, you need to calculate 45% of the original price and then subtract that amount from the original price.
Step-by-Step Calculation:
Calculate 45% of $86: (0.45 × $86 = $38.70).
Subtract the discount from the original price: ($86 - $38.70 = $47.30).
Therefore, if you wait until Black Friday, you will save $38.70 on the shoes.
You're designing an experiment that looks at the effect of different types of newly
developed fish food on the growth rate of three species of fish: tiger fish, guppies,
and goldfish. The treatments are new food #1, new food #2, and old food. For a
randomized block design, blocked on species of fish, how many treatment groups
would you have? (Think of "old food" as one of the treatments.)
I need this answer too, did you figure it out?
What is 20 times 4 and add 5?
20 times 4 add 5 is
20*4+5
20*4=80
80+5=85
85 is your answer
Answer: 85.
Step-by-step explanation: 20 times 4 equals 80, add 5 to that makes 85.
And the equation in mathematical form: ( 20 X 4 ) = 80 + 5 = 85.
Hope this helps, if not, comment below please!!!!!
please help!!!
thank you will give brainlist!!!!
Answer:
The options 3, 4, and 5 are functions.
Step-by-step explanation:
If there is more than one value of y for a given single value of x then this is called a relation but not a function.
That geometrically means that if you can draw a vertical line that intersects the graph that is plotted from the given points that intersect the graph at more than one point then this graph is called a relation and not a function.
Here, in option one the points on the graph are given to be (6,-6), (-3,12), (6,-1) and (-8,13), which is not a function as there are two values of y for x = 6.
Now, in option two the points on the graph are given to be (0,0.5), (2,1), (1,2.5) and (0,2), which is also not a function as there are two values of y for x = 0.
Now, in option three the points on the graph are given to be (8,7), (7,8), (6,5) and (5,6). this can be a function.
Now, in option four the points on the graph are given to be (-2,7), (-3,9), (-5,9) and (-8,11). this can be a function.
Finally, in option five the points on the graph are given to be (-3,0), (-5,8), (-7,8) and (-9,0). this can be a function. (Answer)
Explain how to find the number of comic books you could buy with $25.00
Answer:
$25 - c(p)
Step-by-step explanation:
C = amount of comic books
P = price of comic books
$25 - c(p)
Hope this helps :)
Answer:
depends on the price of each book
Step-by-step explanation:
For instance if you have ...
one book sold for $5
you divide the total ($25) by the cost for each book ($5) and you will get the number of comic books (25/5 = 5 comic books)
Write a quadratic function f whose zeros are -9 & -1
Step-by-step explanation:
This is most easily solved by writing the factored form:
[tex]f(x) = (x + 9)(x + 1)[/tex]
Notice how, if we were to substitute -9 for x, the left part would be -9 + 9 = 0. Since (x + 1) × 0 = 0, this makes the function 0. The same logic applies for the right part.
Final answer:
A quadratic function with zeros at -9 and -1 can be written as f(x) = (x + 9)(x + 1) or f(x) = x^2 + 10x + 9 when expanded.
Explanation:
In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical phrase or statement. Expressions can consist of variables, constants, arithmetic operations (such as addition, subtraction, multiplication, and division), exponents, and functions.
To write a quadratic function f with zeros at -9 and -1, we use the fact that a quadratic function f(x) can be represented in the form f(x) = a(x - r1)(x - r2), where r1 and r2 are the zeros of the function and a is a nonzero coefficient. In this case, our zeros are -9 and -1, giving us f(x) = a(x + 9)(x + 1). To keep the function in simplest form, we can choose a = 1, which gives us the quadratic function f(x) = (x + 9)(x + 1) or f(x) = x2 + 10x + 9 after expanding the expression.
Final answer:
A quadratic function with zeros at -9 and -1 can be written as f(x) = (x + 9)(x + 1) or f(x) = x^2 + 10x + 9 when expanded.
Explanation:
In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical phrase or statement. Expressions can consist of variables, constants, arithmetic operations (such as addition, subtraction, multiplication, and division), exponents, and functions.
To write a quadratic function f with zeros at -9 and -1, we use the fact that a quadratic function f(x) can be represented in the form f(x) = a(x - r1)(x - r2), where r1 and r2 are the zeros of the function and a is a nonzero coefficient. In this case, our zeros are -9 and -1, giving us f(x) = a(x + 9)(x + 1). To keep the function in simplest form, we can choose a = 1, which gives us the quadratic function f(x) = (x + 9)(x + 1) or f(x) = x2 + 10x + 9 after expanding the expression.
LAW OF COSINES...BRAINLEST AND EXTRA POINTS
Answer:
In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. Using notation as in Fig. 1, the law of cosines states where γ denotes the angle contained between sides of lengths a and b and opposite the side of length c.
Step-by-step explanation:
Answer:
X = 117.9°
Step-by-step explanation:
Rearranging the cosine rule to obtain C
cosC = [tex]\frac{a^2+b^2-c^2}{2ab}[/tex]
Here C = X, a = 50, b = 55, c = 90
cosX = [tex]\frac{50^2+55^2-90^2}{2(50)(55)}[/tex]
= [tex]\frac{2500+3025-8100}{5500}[/tex]
= [tex]\frac{-2575}{5500}[/tex], thus
X = [tex]cos^{-1}[/tex]( - [tex]\frac{2575}{5500}[/tex] ≈ 117.9°
How many miles could Kenja travel in 1 hour. Is this the same number of hours it takes kenja to travel 1 mile? Explain your answer
Answer:
Kenja could travel a certain number of miles in 1 hour depending the speedometer. So, it is not necessary that she may always take the same number of hours it takes to travel 1 mile.
For example, If Kenja has traveled 120 miles in three hours. It means it would take 5 hours to travel 200 miles. The reason is that her unit rate is 40 miles per hour. So, it would take her 1/40 hours to travel one mile.
Step-by-step explanation:
Kenja could travel a certain number of miles in 1 hour depending the speedometer.
If she is traveling at the rate of 5 miles per hour, it would take her 12 minutes to travel one mile. The only way she can take the same number of hours to travel 1 miles if she travels at the rate of 1 mile per hour.
For example, if Kenja has traveled 120 miles in three hours. It means it would take 5 hours to travel 200 miles. The reason is that her unit rate is 40 miles per hour.
As
[tex]\frac{120}{3} = 40 mph[/tex]
So, if the unit rate is 40 mph, then it would take her 1/40 hours to travel one mile.
So, it is not necessary that she may always take the same number of hours it takes to travel 1 mile.
Keywords: miles per hour, speed, unit time
Learn more speed calculation from brainly.com/question/2583051
#learnwithBrainly
Provide the reason for Step 4 in the following proof.
A) Additive Inverse Property
B) Commutative Property of Addition
C)Definition of Subtraction
D)Identity Property of Addition
Prove :
Answer:
The Correct option is
A) Additive Inverse Property .
Step-by-step explanation:
Identity Property of Addition :
In math, an identity is a number, n, that when added to other numbers, gives the same number, n.
The additive identity is always zero.
This brings us to the identity property of addition, which simply states that when you add zero to any number, it equals the number itself.
Statement Reasons
1. -(a+b)+a = -a+(-b)+a 1.Distributive Property
= -a+a+(-b) 2.Commutative Property of Addition
= 0+(-b) 3. Additive Inverse Property
= -b 4. Identity Property of Addition
Find the value of each of the following:
(i)
3.5 – 1.4 + 2.9
Answer:
[tex]3.5 - 1.4 + 2.9 \\ = 5[/tex]
hope this helps you
Answer:
3.5 - 1.4 + 2.9 = 5
Step-by-step explanation:
3. 5 - 1.4 + 2.9
At first, we will add 3.5 and 2.9 and then we will subtract 1.4 from the sum of 3.5 and 2.9.
So, 3.5 - 1.4 + 2.9
= (3.5 + 2.9) - 1.4
= 6.4 - 1.4
= 5
So, the value of 3.5 - 1.4 + 2.9 is 5.
a clothing distributor sold an $80 coat at a selling price of $73 what was the percentage of discount for the coat
Answer:
91 1/4%
Step-by-step explanation:
To find the percentage of the discount, just divide the new selling price cost from the previous selling price over 100
73/80*100 = 91 1/4%
15 people received an email and sent it to 3 different friends each, who in turn each sent it to 2 new people. What percent of the total number of people who received the e-mail are the original 15 people?
The original 15 people are 10% of the total number of people who received the mail.
Step-by-step explanation:
Given,
Number of people who received mail = 15
Mail further sent to 3 more friends;
Number of people who received mail from 15 people = 15*3 = 45 people
Number of people who received mail from 45 people = 45*2 = 90 people
Total number of people = 15+45+90 = 150 people
Now,
Percent of original people = [tex]\frac{Number\ of\ original\ people}{Total\ number\ of\ people}*100[/tex]
Percent of original people = [tex]\frac{15}{150}*100=10\%[/tex]
The original 15 people are 10% of the total number of people who received the mail.
Keywords: multiplication, percentage
Learn more about percentages at:
brainly.com/question/11018983brainly.com/question/11145277#LearnwithBrainly
mrs jones attended a southern living Home party she purchased a vase which cost $34.99 The shipping charge was three dollars and 8.25% sale tax was paid on the subtotal which included the shipping charge how much did she pay for the vase
The total amount paid for vase is $ 41
Solution:
Given that
Cost of vase = $ 34.99
Shipping charge = 3 dollars
Sales tax = 8.25 % was paid on the subtotal which included the shipping charge
To find: total amount paid for vase
total amount paid for vase = Cost of vase + Shipping charge + sales tax
Let us first find the sales tax
Given that 8.25 % was paid on the subtotal which included the shipping charge
Subtotal = 34.99 + 3 = 37.99
So 8.25 % of 37.99 was paid as sales tax
[tex]\text{ sales tax } = \frac{8.25}{100} \times 37.99 = 3.1341[/tex]
Therefore sales tax amount paid = $ 3.1341
total amount paid for vase = Cost of vase + Shipping charge + sales tax
total amount paid for vase = 34.99 + 3 + 3.1341 = 41.1241 ≈ 41
Therefore total amount paid for vase is $ 41
If f(n) = (2n + 3)2 – 2n, which statement is true?
1. f(3) = 75
2. f(2)= 619
3. f(5) = 16
4. f(-4)= -3
Upon evaluating the function f(n) = (2n + 3)2 – 2n at the given values, the true statement is f(3) = 75.
Explanation:To determine which statement about the function f(n) = (2n + 3)2 – 2n is true, we must evaluate the function at the given values of n.
For f(3), we calculate (2·3 + 3)2 – 2·3 = (6 + 3)2 – 6 = 92 – 6 = 81 – 6 = 75.For f(2), we calculate (2·2 + 3)2 – 2·2 = (4 + 3)2 – 4 = 72 – 4 = 49 – 4 = 45, not 619.For f(5), we calculate (2·5 + 3)2 – 2·5 = (10 + 3)2 – 10 = 132 – 10 = 169 – 10 = 159, not 16.For f(-4), we calculate (2·(-4) + 3)2 – 2·(-4) = (-8 + 3)2 – (-8) = (-5)2 – (-8) = 25 + 8 = 33, not -3.Therefore, the statement that is true is f(3) = 75.
Add 20 7/12 + 4 2/10
Well ,I am not sure about the answer....
Jillian ran for two weeks. During the first week, she ran 12 miles. During the next week, she ran 15 miles. What is the ratio of miles ran to total numbers of miles in both weeks?
What is its constant speed?
Answer:
So the Conclusion is that 4000 km/h is the constant speed.
Step-by-step explanation:
Given:
Time (hrs) | Distance (km)
0.5 | 2000
1 | 4000
1.5 | 6000
To Find:
Constant Speed:
Solution:
We know ,
[tex]Speed =\frac{Distance}{Time}[/tex]
For the first case we have
[tex]Speed=\frac{2000}{0.5} =4000\ km/h[/tex]
For the second case we have
[tex]Speed=\frac{4000}{1} =4000\ km/h[/tex]
For the third case we have
[tex]Speed=\frac{6000}{1.5} =4000\ km/h[/tex]
So the Conclusion is that 4000 km/h is the constant speed
Find the minimum or maximum value of f(x) = x2 + 6x +11 .
Answer:
Therefore the Minimum value of f(x) is 2.
Step-by-step explanation:
Given:
[tex]f(x)=x^{2} + 6x+11[/tex]
To Find:
minimum or maximum value of f(x)
Solution:
To find minimum or maximum value of f(x)
Step 1 . Find f'(x) and f"(x)
[tex]f(x)=x^{2} + 6x+11[/tex]
Applying Derivative on both the side we get
[tex]f'(x)=\dfrac{d(x^{2})}{dx}+\dfrac{d(6x)}{dx}+\dfrac{d(11)}{dx}[/tex]
[tex]f'(x)=2x+6+0[/tex]
Again Applying Derivative on both the side we get
[tex]f''(x)=\dfrac{d(2x)}{dx}+\dfrac{d(6)}{dx}[/tex]
[tex]f''(x)=2[/tex]
Step 2. For Maximum or Minimum f'(x) = 0 to find 'x'
[tex]2x+6=0\\\\2x=-6\\\\x=\dfrac{-6}{2}=-3[/tex]
Step 3. IF f"(x) > 0 then f(x) is f(x) is Minimum at x
IFf"(x) < 0 then f(x) is f(x) is Maximum at x
Step 4. We have
[tex]f''(x)=2[/tex]
Which is grater than zero
then f(x) is Minimum at x= -3
Therefore the Minimum value of f(x) is 2.
The minimum value is 2 when x = -3.
The minimum or maximum value of the function f(x) = x^2 + 6x +11, we need to complete the square or use the vertex formula for a quadratic function.
The function is a parabola that opens upwards (since the coefficient of the x2 term is positive). To complete the square, we group the x-terms and add and subtract the square of half the coefficient of x:
f(x) = (x^2 + 6x + 9) + 11 - 9
f(x) = (x + 3)^2 + 2
The minimum value of this parabola occurs at the vertex, which is (-3, 2).
Dan and £9.10 per hour how much will he earn for five hours
Answer:
He will earn 45.50 in five hours.
Step-by-step explanation:
Answer:
45.5
Step-by-step explanation:
9.10*5
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation
x+y=24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions
The test contains 10 three-point questions and 14 five-point questions
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer: 10 three points questions and 14 five points questions
Step-by-step explanation: Please see attachment for explanation.
Ashely’s group was responsible for painting windows on the set of a school play. the group painted at this rate, how many windows would they paint for 3 hours?
Answer:
x:3
Step-by-step explanation:
Rewrite the expression with a rational exponent as a radical expression.
(4^2/5)^1/4
a.)^10sqrt4
b.)^4sqrt4
c.)^5sqrt4^2
d.)sqrt4^10
sqrt=square root
Answer:
First option is correct.
[tex]\sqrt[10]{4}[/tex]
Step-by-step explanation:
Given:
The given expression is [tex](4^{\frac{2}{5}})^{\frac{1}{4}}[/tex]
We write the given expression with a rational exponent as a radical expression such as.
[tex]=(4^{\frac{2}{5}})^{\frac{1}{4}}[/tex]
Simplify the above equation by multiplication of powers.
[tex]=(4^{\frac{2}{5}\times \frac{1}{4}})[/tex]
[tex]=(4^{\frac{1}{5}\times \frac{1}{2}})[/tex]
[tex]=(4^{\frac{1}{5\times 2}})[/tex]
[tex]=(4^{\frac{1}{10}})[/tex]
[tex]=\sqrt[10]{4}[/tex]
Therefore, The answer is [tex]=\sqrt[10]{4}[/tex].
9.
The surface area of the right square pyramid shown is 129.5 cm. The base is 4.5 cm. Determine the slant height, s, of this
pyramid, rounded to the nearest tenth
Answer:
Slant height (s)= 12.1 cm
Step-by-step explanation:
Given: Base= 4.5 cm.
Surface area of right square pyramid= 129.5 cm.
First, calculating slant height (s) of right square pyramid.
Surface area of square pyramid= [tex](a^{2} +2\times a\times s)[/tex]
a= side of square base.
s= slant height
∴ [tex]129.5= (4.5^{2} + 2\times 4.5\times s)[/tex]
⇒ [tex]129.5= (20.25+2\times 4.5\times s)[/tex]
⇒ [tex]129.5= (20.25+9\times s)[/tex]
Now, opening the parenthesis and subtracting both side by 20.25.
⇒ [tex]109.25=9\times s[/tex]
cross multiplying both side
∴ Slant height (s)= 12.1
Final answer:
To find the slant height of the right square pyramid, subtract the base area from the total surface area, divide by four to find the area of one triangular side, and then solve for the slant height using the triangle area formula. The calculated slant height is = 12.1 cm
Explanation:
The student is asking how to find the slant height of a right square pyramid when given the surface area and the base length. To solve this, we need to take into account the formula for the total surface area of a right square pyramid, which is the sum of the base area and the area of the four triangles forming the sides. We know the total surface area is 129.5 cm2 and the base length is 4.5 cm. The area of the base is simply the square of the base length since it's a square base.
Base area = base length2 = (4.5 cm)2 = 20.25 cm2
Total area of four triangular sides = 129.5 cm2 (total surface area) - 20.25 cm2 (base area) = 109.25 cm2
Area of one triangular side = 109.25 cm2 / 4 = 27.3125 cm2
Now, using the formula for the area of a triangle, A = 1/2 × base × height, we can substitute the area of one triangular side and the base length to solve for the slant height:
27.3125 cm2 = 1/2 × 4.5 cm × slant height (s)
Slant height (s) = (2 × 27.3125 cm2) / 4.5 cm = 12.139 cm
Rounded slant height = 12.1 cm
Math Question Time! Grade:6
A teacher asked her students to create an algebraic expression with only subtraction by only getting the answer. The answer given was 3. What is one algebraic expression that it can be?
Rewards for completing problem correctly: 15 points (maybe even Brainliest!)
Explanation has to be provided! Good luck!
Answer:
lol
Step-by-step explanation:
Solve 5n^2=5 with the quadratic formula
Answer:
n = 1
Step-by-step explanation:
First, rearrange the equation to standard form 0 = ax² + bx + c, when everything equals 0.
5n² = 5
5n² - 5 = 0
State the variables a, b and c.
a = 5; b = 0; c = -5
Substitute a, b, and c into the quadratic formula.
[tex]n = \frac{-b ±\sqrt{b^{2}-4ac} }{2a}[/tex]
[tex]n = \frac{-0 ±\sqrt{0^{2}-4(5)(-5)} }{2(5)}[/tex] Substitute
[tex]n = \frac{\sqrt{100} }{10}[/tex] Simplify inside the √ and bottom
[tex]n = \frac{10}{10}[/tex] Simplify the top
[tex]n = 1[/tex] Final answer
Therefore the solution is n = 1.
The quadratic formula usually is written with x, but it can be solved with any variable in standard form.
Name two coordinates that are on the line: [tex]y = 12[/tex]
Name two coordinates that are on the line: [tex]x = -5[/tex]
Write the equation of the line that passes through the point (3, -5) and is perpendicular to the line x = 4.
60 Point offer.
(1, 12)
(420, 12)
Any coordinate with a y value of 12 lies on the line y = 12.
-----
(-5, 69)
(-5, 13)
Any coordinate with an x value of -5 lies on the line x = -5.
-----
Since the equation must be perpendicular to the line x = 4, which is a vertical line, it must also be written in the form x = a.
Since the x coordinate is 3, the equation of the line is simply x = 3.
Select the correct answer from the drop-down menu.
Phoebe runs a T-shirt printing business. She ships the T-shirts to retailers in boxes of 200. She has two automated printing machines that can
print designs on T-shirts. One machine can print 200 T-shirts in 50 minutes. The other machine can print 200 T-shirts in 150 minutes.
If the two machines work at the same time, they can print 200 T-shirts in
minutes.
Answer:
They will work together and print 200 T-shirts in 37.5 minutes.
Step-by-step explanation:
One machine can print 200 T-shirts in 50 minutes.
So, in one minute that machine can print [tex]\frac{200}{50} = 4[/tex] T-shirts.
Again, the other machine can print 200 T-shirts in 150 minutes.
So, in one minute the other machine can print [tex]\frac{200}{150} = 1.33[/tex] T-shirts.
Therefore, working together for one minute both the machines will print (4 + 1.33) = 5.33 number of T-shirts.
Hence, they will work together and print 200 T-shirts in [tex]\frac{200}{5.33} = 37.5[/tex] minutes. (Answer)
Which table of ordered pairs, when plotted, will form a straight line? Select two answers.
Answer:
B
Step-by-step explanation: