Answer:
x = -∛115
Step-by-step explanation:
x^3 - (-115) = 0
= x^3 + 115
Factoring
(a+b) • (a^2-ab+b^2) =
a^3-a^2b+ab^2+ba^2-b^2a+b^3 =
a^3+(a^2b-ba^2)+(ab^2-b^2a)+b^3=
a^3+0+0+b^3=
a^3+b^3
(115 isn't a cube.)
Polynomial roots
P: -1, -5, -23, -115, 1, 5, 23, 115
Q: 1
P/Q: -1, -5, -23, -115, 1, 5, 23, 115
Divisor(s): None
In these sets of data, there are no rational roots shown.
Step-by-step explanation(part 2):
x^3 + 115 = 0
x^3 = -115
x = ∛-115
Negative numbers will always have real cube roots.
∛ -115 = ∛ -1 × 115 = ∛ -1 × ∛ 115 = (-1) × ∛ 115
Therefore,
x = -∛115
a² + b²
______
a-b
if a = -3 and b = -5
Answer: -17
Step-by-step explanation:
-3^2 + -5^2/ -3 - (-5)
-34 / -3 - (-5)
-34/2
-17
Can anyone help? (question in image)
The expression is simplified to n = 3/ 25
What are algebraic expressions?Algebraic expressions are expressions made up of arithmetic operations such as addition, subtraction, multiplication, division, etc.
They also consist of variables, terms, factors, constants and coefficients.
Given the expression;
[tex]5( n- \frac{1}{10} ) = \frac{1}{2}[/tex]
expand the bracket
[tex]5 ( \frac{10n - 1}{10} ) = \frac{1}{10}[/tex]
[tex]\frac{50n - 5}{10} = \frac{1}{10}[/tex]
cross multiply
10( 50n - 5) = 10
expand the bracket
500n - 50 = 10
collect like terms
500n = 60
Make 'n' the subject
n = 60/ 500
n = 6/ 50
n = 3/ 25
Thus, the expression is simplified to n = 3/ 25
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Becky decorated 144 cakes in 6 days. How many cakes did she decorate in 1 day.
Answer:
24
Step-by-step explanation:
Answer:24
Step-by-step explanation:144/6=24
Find the measure of the missing angle.
Answer:
a = 52°Step-by-step explanation:
from the picture is a rigth angle (90°)
take off 38 from 90
90 - 38 = 52°
ANSWER PLS AND FAST MY BROTHER NEED THE HELP
Answer:
$ 124,918
Step-by-step explanation:
Plus all of them toghether.
Also: I got yo back
Answer:
124,909
Step-by-step explanation:
Add them up.
38,219 + 57,623 + 29,067 = 12,909
Help!!! Please help urgently!
Answer:
x = 18
Step-by-step explanation:
25 + 20 = 45
Proportions:
45 ⇒ 50
20 ⇒ x
x = 45*20/50
x = 18
Shantira is thinking of a number n, and she wants her sister to guess the number. her first clue is that nine less than five times her number is at least six and at most twenty-one. write a compound inequality that shows the range of numbers that shantira might be thinking of
The value of the integer number n is greater than 5 and less than 9.
Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is use it to compare two statements.
Simplification is to make something easier to do or understand and to make something less complicated.
Shantira is thinking of a number n.
Her first clue is that six less than six times her number is between twenty-four and forty-eight.
Let n be the integer number.
Then according to the condition,
Her first clue is that six less than six times her number is between twenty-four and forty-eight.
24 < 6n - 6 < 48
Add 6, then
30 < 6n < 54
Divide it by 6
5 < n < 9
So the value of the integer number n is greater than 5 and less than 9.
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Please help me find the range because I am confused.
Answer: 33.81<=w<=33.91
Step-by-step explanation:
w=weight in ounces
33.86-0.05<=w<=33.86+0.05 ==> 0.05 weight difference form 33.86, the ideal weight.
33.81<=w<=33.91
What is an equation of the line, in point-slope form, that passes through the point (9, -9) and has a slope of 4?
Please explain how to do this : )
[tex](\stackrel{x_1}{9}~,~\stackrel{y_1}{-9})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-9)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{9}) \implies y +9= 4 (x -9)[/tex]
Answer:
m = 4
Step-by-step explanation:
slope = 4
A long year-end status report for work is 163 pages long. You need to print 16 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.75 each.
Answer:
19.56
Step-by-step explanation:
Number of pages x copies
164 x 16 = 2608
Divided by number of pages per ream
2608 ÷ 50 = 5.216
Total Reams by cost
5.216 x 3.75 = 19.56
What is 1/2x+1/2x=x+1
Answer: 2x..?
Not 100% sure but here's my reasoning
(1/2 + 1/2 + 1)x
1/2 + 1/2 = 1
1 + 1 = 2
then you add the x, making it 2x
i could be wrong im literally half asleep eating chicken wings and finishing my own homework so forgive me if this is completely wrong lol
Please help me answer all these 4 math questions! It is 8th-grade beginner level.
I will give Brainliest to the 1st one to answer ALL 4 questions and will give 100 points in this problem, giving people 50 points when they answer.
Answer:
Simplify the expression, Your answer would be :
1. [tex]\frac{9d}{e^{6} }[/tex]2. [tex]6d^{3}e[/tex]3.[tex]12de^{6}[/tex]Step-by-step explanation:
And to find the Value of the following expression, Your answer would be :
[tex]\frac{36}{11}[/tex]hopefully this helps you ! ~
There are 48 trees at the park. ¼ of the trees are oak trees. How many oak trees are at the park
Answer:
12 oak trees
Step-by-step explanation:
1/4 of 48 =12
3.
Sarah wants to buy some fruit.
She wants to buy
and
3 oranges at 30p each
1
kg apples at £1.20 per kg.
2
The only money Sarah has is one 50p coin and six 20p coins.
She pays for the fruit.
Work out how much money Sarah has left.
You must show all your working.
After spending the money on oranges and apple, Sarah is left with 20p.
What is defined as the cost of the product?In mathematics, a product is described as the result of multiplying two or several numbers together.Product cost makes reference to the expenses incurred in the production of a product.As per the given question;
Sarah spend the amount to buy the 3 oranges is 30p each.
Total spending on oranges = 3 x 30p = 90p.
For buying 1/2 kg of apple; Sarah spend the amount of £1.20 per kg.
Cost for half kg of apples = 60p.
Total cost = apple + oranges
Total cost = 60p + 30p = 90p.
Total cost = £1.50
Now, the only money Sarah has is one 50p coin and six 20p coins.
Sarah' money = 50p + (6 x 20)p
Sarah' money = 50p + £1.20
Sarah' money = £1.70
Money left = £1.70 - £1.50
Money left = £0.20 = 20p
Thus, the money left to Sarah is 20p.
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The correct question is -
Sarah wants to buy some fruit. She wants to buy and 3 oranges at 30p each 1/2kg apples at £1.20 per kg.
The only money Sarah has is one 50p coin and six 20p coins.
She pays for the fruit.
Work out how much money Sarah has left.
A diagram shows a 5 cm* 5 cm* 5 cm cube.Calculate the length of the diagonal AB. Give your answer correct to 1 decimal place
The length of the diagonal AB of the given square is 8.660
Given that a diagram of a cube having dimensions 5×5×5 and asked to find out the length of diagonal AB(which is a body diagonal of the cube).
To calculate the body diagonal 1st we need to calculate the face diagonal via the Pythagorean theorem
Let's assume the length of the face diagonal is x
By Pythagorean theorem
[tex]x^{2} =5^{2} + 5^{2}[/tex]
[tex]x^{2} =50[/tex]
[tex]x=5\sqrt{2}[/tex]
Therefore, the length of the face diagonal is [tex]5\sqrt{2}[/tex]
Let's assume the body diagonal is y
By Pythagorean theorem
[tex]y^{2} =5^{2} +(5\sqrt{2} )^{2}[/tex]
[tex]y=\sqrt{125}[/tex]
y=[tex]5\sqrt{3}[/tex]=8.660
Therefore, The length of the diagonal AB of the given square is 8.660
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How many zeroes are in the product of 40 × 10 7 ?
Answer:
Either, it's 2,800 and that would be 2 zeroes or it is 400,000,000 and that would be 8 zeroes
Step-by-step explanation:
40 x 10 x 7 = 2,800
40 x 10^6 = 400,000,000
Total 8 zeroes are in the product of 40 × 10⁷.
Let's step-by-step dissect the calculation and the total amount of zeros.
We are given the phrase 40 × 10⁷, where 10⁷ is defined as 10 multiplied by 7.
Step 1: Calculate 10⁷
10^7 means 10 raised to the power of 7, which is equal to 10,000,000 (10 million). This is because 10⁷ = 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10,000,000.
Step 2: Calculate the product 40 × 10⁷
Now, we multiply 40 by 10,000,000:
40 × 10,000,000 = 400,000,000
The product 400,000,000 has a total of 9 digits.
Instead of just looking at the overall number of digits, we are more concerned with the amount of zeros in the product.
Counting the zeros:
In the number 400,000,000, there are 8 zeros. These zeros come from the seven factors of 10 in the product 10⁷.
So, the product of 40 × 10⁷ has 8 zeros.
In conclusion, the result of 40 times 10 raised to the power of 7 is 400,000,000, which has eight zeros. This is so because every factor of 10 adds a zero to the final total.
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Need help before 10:30
Answer: I will really try to get answers just wait
Step-by-step explanation:
The function f is defined by the following rule
f(x)=2x-1
Complete the function table
The value of the function at x = -3, -2, 0, 1, and 5 will be -7, -5, -1, 1, and 9, respectively.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The function is given below.
f(x) = 2x - 1
The value of the function at x = - 3 will be
f(-3) = 2(-3) - 1
f(-3) = - 6 - 1
f(-3) = - 7
The value of the function at x = - 2 will be
f(-2) = 2(-2) - 1
f(-2) = - 4 - 1
f(-2) = - 5
The value of the function at x = 0 will be
f(0) = 2(0) - 1
f(0) = 0 - 1
f(0) = - 1
The value of the function at x = 1 will be
f(1) = 2(1) - 1
f(1) = 2 - 1
f(1) = 1
The value of the function at x = 5 will be
f(5) = 2(5) - 1
f(5) = 10 - 1
f(5) = 9
The value of the function at x = -3, -2, 0, 1, and 5 will be -7, -5, -1, 1, and 9, respectively.
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Suppose a survey of 979 business owners found that more than ought . which part of the survey represents the descriptive branch of statistics? make an inference based on the results of the survey.
Women make up 64% of the sample and are typically the household's main investment.
There is a correlation between American women and being the main provider in their home.
What is Descriptive Statistics?Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.
For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.
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The correct question is - Suppose a survey of 580 women in the United States found that more than 64% are the primary investor in their household. Which part of the survey represents the descriptive branch of statistics? Make an inference based on the results of the survey.
is 9.02 x 10-8 larger than 9.02 x 10-6
Answer:Yes 90.2 x 10-8 is greater then 90.2 x 10-6
Step-by-step explanation:
there are twenty four hours in a day. jack worked for two-fourths of the day. how much time will jack spend working?
Answer: 12 hours
Step-by-step explanation: divided 24 by 4, which equals to 6, if Jack worked 2/4 of the day, he would have worked half the day, which is 12 hours.
Which term best describes the geometric figure? Points A and B are connected by a line.
The best that describes the geometric figure is a line segment.
A line segment is a part of a line that connects two points which are considered to be its endpoints.
If points A and B are connected by a series of points that extended infinitely in opposite direction, then AB is a line, so The best describes the geometric figure is a line segment.
If points A and B are connected by a series of points that extended infinitely in opposite direction, then AB is a line, so that the best describes the geometric figure is a line segment.
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What must the probability of a red light be on this road so that neither road would be preferred over the other on the basis of expected number of red lights?
The probability of a red light be on this road so that neither road would be preferred over the other on the basis of expected number of red lights is 0.3375.
What is Probability:
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. Probability has been introduced in Math's to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.
Now,
PDF of a Binomial (n, x) distribution is
given as
p(X=x).[tex]C^n_x P^x (1-p)^(n-x)[/tex] x = 0,1,2,
Here n = 9, 2:4, p = 0.3
P(x-4)= 9^c_4(0.3)^4 (0.75)^5 = 0·1715 Ans
R Code
We will use the function pGnom() which gives the Cumulative probability of an
Probability of getting exactly 4 heads is
x <- pGnom (4,9, 0.3) - pGnom (3,9, 0.3)
(We substract 3 to get P(X = 4) since above we have P(X<4) - P(X ≤3)
b)
Expected number in a binomial distribution = np
We have to equate the Expected values
So
9x0.3 = 8xp
os, p = 0.3375.
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I need help on my math
1/5 of x is 14
What is the x
What is
greater than
-3/8?
Answer:
give a situation where you are adapted a holistic view in looking at a problem or situation: my own
360 miles traveled on 12 gallons of gasoline? (write each rate as a unit rate)
The unit rate is 30 miles per gallon
How to calculate the unit rate ?The number of miles travelled is 360 miles
The number of gallons is 12 gallons
Therefore the unit rate can be calculated as follows
Unit rate= 360/12
= 30
Hence the unit rate is 30 miles per gallon
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Tiffany buys a circular mirror. She
wants to decorate the mirror by gluing
ribbon along the outer edge of the
mirror. How long is the ribbon if the
mirror has a 15 inch radius?
Area = 70,6.5 inch² long is the ribbon if the mirror has a 15 inch radius .
What area is a circle?
A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.
Describe Area -
The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.
Tiffany buys a circular mirror.
r = 15 inch
long is the ribbon if the mirror has = πr²
= 3.14 × 15 × 15
= 70,6.5 inch²
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Volume of Spheres find the volume
Step-by-step explanation:
Oke so basically we can calculate volume like this
1st: v=
[tex] \frac{4}{3} \times \pi \times r {3}^{?} [/tex]
Which equals:
[tex] \frac{4}{3} \times 3 \times {3}^{3} and \: it \: equals > 108 {\pi}^{3} [/tex]
Last year, 63 new houses were built in a neighborhood. So far this year,
Write your answer in simplest form
11
12
of them have been sold. How many new houses have been sold this year?
13
14
The total number of the houses sold this year are 54.
What is defined as the fraction?Fractions are identified as a numerical value representing a portion of a whole.
A fraction is a portion or segment of any quantity taken from the whole, which can be any number, a fixed number, or a thing.Every fraction has a numerator and even a denominator isolated by a horizontal bar recognized as the fractional bar.The denominator signifies the number of parts into which the whole has indeed been subdivided. It is positioned below the fractional bar in the lower part of the fraction.The numerator specifies how many fractional sections are recognized or selected. It is positioned above the fractional bar in the upper part of the fraction.So, 6/7 of the new houses are sold.
Total houses = 63
Multiply the values.
= 63×6/7
= 54
Therefore, the total number of the new houses sold this year is 54.
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The correct question is-
Last year, 63 new houses were built in a neighbourhood. So far this year, 6/7 of them have been sold. How many new houses have been sold this year?
Did Paul or pippa do it correctly
Triangle A'B'C' is the result of dilation about the origin with a scale factor of 2 / 3 on triangle ABC. (Translation: Pippa was right)
How to determine the scale factor to modify a right triangle
Herein we find a picture a graph with two proportional right triangles, which means that the small triangle is the consequence of a rigid transformation. The kind of rigid transformation used is a dilation around the origin, whose formula is shown below:
P'(x, y) = k · P(x, y)
Where k is the scale factor.
There is a dilation if and only if each point is scaled by the same factor. If we know that A(x, y) = (3, 9), A'(x, y) = (2, 6), B(x, y) = (9, 9), B'(x, y) = (6, 6), C(x, y) = (3, 3) and C'(x, y) = (2, 2), then the scale factor for each point is:
Point A
(2, 2) = k · (3, 3)
k = 2 / 3
Point B
(6, 6) = k · (9, 9)
k = 2 / 3
Point C
(2, 2) = k · (3, 3)
k = 2 / 3
Then, triangle A'B'C' is the result of dilation about the origin with a scale factor of 2 / 3 on triangle ABC.
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