Answer:
(x + 3)(3x - 10)
Step-by-step explanation:
[tex]3 {x}^{2} - x - 30 \\ = 3 {x}^{2} + 9x - 10x - 30 \\ = 3x(x + 3) - 10(x + 3) \\ = (x + 3)(3x - 10) \: are \: the \: required \: factors.[/tex]
To factor the expression [tex]3x^2-x-30[/tex], use factoring by grouping. The factored form is (3x + 3)(x - 10).
To factor the expression [tex]3x^2-x-30[/tex], we can use factoring by grouping or the quadratic formula. Let's use factoring by grouping:
Step 1: Multiply the leading coefficient (3) by the constant term (-30) to get -90.
Step 2: Find two numbers whose product is -90 and whose sum is the coefficient of the linear term (-1). In this case, the numbers are -10 and 9.
Step 3: Rewrite the middle term (-x) as the sum of the numbers found in step 2 (-10x + 9x).
Step 4: Group the terms and factor out the greatest common factor from each group (3x(x - 10) + 3(x - 10)).
Step 5: Factor out the common binomial (x - 10) from each group to get the final factored form: (3x + 3)(x - 10).
PLEASE HELP ME I NEED IT
Answer:
6 weeks
Step-by-step explanation:
4⅙ + ¾w = 5⅔ + ½w
Convert into improper fractions
25/6 + 3w/4 = 17/3 + w/2
3w/4 - w/2 = 17/3 - 25/6
(3w - 2w)/4 = [2(17)-25]/6
w/4 = 9/6
w = 4 × 3/2
w = 6
Which statement about converting metric units of measurement is true? Use the metric table to help answer the question.
A.There are 0.35 hectoliters in 35 deciliters.
B.There are 7.62 centiliters in 762 liters.
C.There are 6.8 kiloliters in 68 hectoliters.
D.There are 0.75 deciliters in 7.5 liters.
Answer:
C.There are 6.8 kiloliters in 68 hectoliters.
Step-by-step explanation:
1 hectolitre = 100 litres
1 decilitre = 0.1 litre
1 kilolitre = 1000 litree
6.8 kilolitres = 6800 litres
Or 68 hectolitres
What is the equation of the line that contains the points (2,6) and (-2,4)
Answer:
y =1 /2 x+ 5
Step-by-step explanation:
Answer:
y=1/2x+5
graph the points and do the change of y over the change of x to get slope
the 5 is y intercept when you connect the two points where the line touches the y axis the y point is the y- intercept
A window has an actual height of 4.5 feet. If a blue print has a scale of 3 inches = 2 feet. Find the height of the window in the blue print.
Answer:
The height of the window in blue print 6.75 inches.
Step-by-step explanation:
Given that, the actual length of the window is 4.5 feet.
If a blue print has a scale of 3 inches = 2 feet.
The actual length of an object is 2 feet then length of the object in blue print is 3 inches.
Then the actual length of an object is 1 feet then length of the object in blue print is (3÷2) inches =1.5 inches
The height of the window in blue print = (4.5×1.5)= 6.75 inches.
Answer:
6.75 inches
Step-by-step explanation:
triangular prism: V = 42 cm3
base length = 2 cm; base height = 6 cm
What is the height?
Answer:
the explanation is in the picture
don't mind my messy handwriting
please like and Mark as brainliest
Mona always takes the same route when she walks her dog. First, she walks 5 blocks to the park. Then she walks 2 blocks to the elementary school. Finally, she walks 6 blocks to get back home. Mona walks her dog 4 times each day. How many blocks does Mona's dog walk each day?
Answer:
52 Blocks
Step-by-step explanation:
We need to find how many blocks Mona walks per day.
Info Given:
Number of blocks she walks in one walk.
Add the total blocks in one "route".
[tex]5 + 2 = 7\\7 + 6 = 13[/tex]
Mona walks 13 blocks in one route.
She walks her dog 4 times a day.
[tex]13 * 4 = 52[/tex]
Mona would walk her dog 52 blocks total per day.
Which number system BEST describes this set?
{-10, 0, 28/7, 102.9}
A) integers
B) natural numbers
C) rational numbers
D) irrational numbers
Answer:
They're all rational numbers.
Integers: A whole number
Natural numbers: positive integers
Rational numbers: Any integer, positive or negative, including fractions
Irrational numbers: number that cannot be written as a ratio of two integers
A sample contains 10 pairs of values. Find the critical value for the linear correlation coefficient from Table A-6 corresponding to a 0.01 significance level.
a. 0.684
b. 0.632
c. 0.765
d. 0.798
The closest options provided are c. 0.765 or d. 0.798.
The question involves determining the critical value for the linear correlation coefficient for a sample with 10 pairs of values at a 0.01 significance level. Since the sample size is 10, the degrees of freedom (df) would be calculated as n - 2, which equals 8 (10 - 2 = 8). According to the provided studies and tables of critical values for determining the significance of a correlation coefficient, we reference a critical values table specific to our degrees of freedom and significance level.
At a 0.01 significance level and with 8 degrees of freedom, the corresponding critical value would typically be found in a statistical table designed for this purpose. However, based on the example given in the context, which is using a table with a standard significance level of α = 0.05, we can infer that the critical value for α = 0.01 would be higher, as the significance level is more stringent. None of the provided options (a. 0.684, b. 0.632, c. 0.765, d. 0.798) directly match the information given, but option c. 0.765 or d. 0.798 would typically be closer to a critical value at an α = 0.01 level with 8 degrees of freedom.
Jordan and Carson go to the movie theater and purchase refreshments for their friends.
Jordan spends a total of $25.75 on 1 bag of popcorn and 3 drinks.
Carson spends a total of $81.25 on 4 bags of popcorn and 9 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
$7.25
Step-by-step explanation:
Let p=popcorn
Let d=drinks
25.75=1p+3d
81.25=4p+9d
p=4
d=7.25
Answer:
$7.25
Step-by-step explanation:
Cost of popcorn: x
Cost of drink: y
x + 3y = 25.75
x = 25.75 - 3y
4x + 9y = 81.25
4(25.75 - 3y) + 9y = 81.25
103 - 12y + 9y = 81.25
3y = 103 - 81.25
3y = 21.75
y = 7.25
x = 25.75 - 3(7.25)
x = 4
PLEASE HELP!!! WILL GIVE FIRST ANSWER BRAINLEST!!!!18 is 1.2% of what number
So the right answer is 1500.
look at the attached picture⤴
Hope it will help you..
Answer:
The answer is 1500
Step-by-step explanation:
1500*0.012=18
Please, I need help!
If a data set is skewed, and most of the data are at the lower end of the data, which is a better measure of center? Explain.
Answer:
median
Step-by-step explanation:
median is not affected by outliers of skewed data, while mean is greatly affected by skewed data. Median is always the best to use when the data is skewed.
Answer:
The median; it is less sensitive to outliers in a data set.
Step-by-step explanation:
Durrell ordered Wendy's delivery and paid $10 for 2 hamburgers, which is a rate of $_____ per hamburger?
Answer:
5 dollars per hamburger
Step-by-step explanation:
10 divided by 2
Answer:
It is a rate of $5 per hamburger
Step-by-step explanation:
10-5=5
2 x 5= 10
=5
Suppose that $17,183 is invested at an interest rate of 5.4% per year, compounded continuously. a) Find the exponential function that describes the amount in the account after time t, in years. b) What is the balance after 1 year? 2 years? 5 years? 10 years? c) What is the doubling time?
Answer:
Total = Principal * e ^ (rate * years)
Total = 17,183 * 2.718281828459 ^ (.054 * years)
After 1 year = 18,136.39
After 2 years = 19,142.68
After 5 years = 22,509.12
After 10 years = 29,486.15
We'll use this formula to find the doubling time:
Years = ln (total / principal) / rate
we'll use 200 for total and 100 for principal
Years = ln (200 / 100) / rate
Years = ln (2) / .054
Years = 0.69314718056 / .054
Years = 12.8360588993 Years Doubling Time
Step-by-step explanation:
The question is about continuous compound interest. An initial amount of $17,183 is invested with a 5.4% annual interest rate. An exponential function depicts the amount over time, you find the balance by substituting the values of time into the function, and the doubling time is calculated to be approximately 12.8 years.
Explanation:The subject matter of this question deals with the concept of continuous compound interest in Mathematics. No additional deposits are made, only the principal amount is growing over time at a continuous compound interest. The formula for the balance in a continuously compounding account is given by P(t) = P0*e^(rt), where P0=initial balance, r=annual interest rate (as a decimal), t=time in years, and e=approximately 2.71828. In this case, P0 = $17,183 and r = 5.4% = 0.054.
a) The exponential function that describes the amount in the account after time t is: P(t) = $17,183*e^(0.054t)
b) Using this function, you can substitute the values of t to find the balance after each year, for example, for 1 year, it's P(1) = $17,183*e^(0.054*1) and similarly for 2, 5, and 10 years.
c) Doubling time can be obtained by equating P(t) = 2 * P0, which can be solved to obtain t = ln(2) / r (natural logarithm of 2 divided by the annual interest rate). Hence, it would approximately be 12.8 years.
Learn more about Continuous Compound Interest here:
https://brainly.com/question/34053661
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At a bake sale Bailey is selling plates with 3 chocolate chip cookies each Julio is selling plates with 2 sugar cookies each if a customer wants to buy the same number of cookies from Bailey and Julio what is the smallest number of cookies they must buy from a person
Answer:
the least cookies someone can buy from one person is 6
Step-by-step explanation:
Complete the table for the given rule y=5x
Answer:
1
.8
.6
Step-by-step explanation:
Find the sum
(2x^3-x-9)+(7x^2-5x-2)
A) 9x^2-6x-11
B)2x^3+7x^2-4x-11
C) 2x^3+7x^2-6x-7
D)2x^3+7x^2-6x-11
Answer:
D)2x^3+7x^2-6x-11
Step-by-step explanation:
(2x^3-x-9)+(7x^2-5x-2) and simplify
into 2x^3+7x^2-6x-11 (steps shown in attachment)
a shape is randomly selected from the following quadrilaterals: parallelogram, rhomus, trapaziod, rectangle, square. what is probability that it has 4 congruent sides
Answer:
Step-by-step explanation:
So, it's hard to know if the sides on the parallelogram are equal or not, but both a rhombus and square have four congruent sides, but only a square has four right angles.
So 1/2 shapes fit both parameters. Therefore there is a 50% probability it has four right angles, given that it has four congruent sides.
A right angle. A line comes out of the angle to split the angle into 52 degrees and blank.
Melinda has a scrap piece of fabric with one angle measuring 52°. If she needs to find a complementary angle, what angle measure does she need to cut the next piece?
Melinda should cut the piece of fabric at an angle of
°.
Answer:
38
Step-by-step explanation:
90-52=38
Answer: 38
Step-by-step explanation:
i said so
Triangle ABC and its transformation DEF are shown. What transformation of triangle ABC produced triangle DEF?
A.vertical translation
B.horizontal translation
C.rotation about point A
D.reflection across a vertical line
Answer: a
Step-by-step explanation:
solve for p
7/p = 8/9
p=?
Answer:
7 7/8
Step-by-step explanation:
Write an equation that is parallel to the equation y= -2x+8 and goes through the point (-3,8)
Answer:
y - 8 = -2(x + 3)
y - 8 = -2x - 6
y = -2x + 2
Step-by-step explanation:
PLEASE PLEASE HELP the question is below
Answer:
D)90
Step-by-step explanation:
First you work out 3^4 which is 81.
Then add 9 to it and it becomes 90.
Answer:
D.90
Step-by-step explanation:
3x3x3x3=9x9=81+9=90
Anybody help? Really hard :/
Answer:
24°
Step-by-step explanation: a flat surface=180° 180-156=24
Answer:
24 °
Step-by-step explanation:
Supplementary angles are two angles that add up to 180°
One angle is 156 so 180-156 gives you the angle of the missing angle. The answer of 180-156 is 24 so therefore, x=24°
(Please mark brainliest)
In an isosceles triangle, the longest side measures c units. The other sides of the triangle measure a units. Which equation
can be used to determine if the triangle is a right triangle?
a2=c2
2a2=c2
a4=c2
2a=c
Answer:
b
Step-by-step explanation:
bc both legs have same measurement.
Answer:B
Step-by-step explanation:
Did the test
Which should Mark do to increase his credit score?
Steps to Improve Your Credit Scores
Pay Your Bills on Time. ...
Get Credit for Making Utility and Cell Phone Payments on Time. ...
Pay off Debt and Keep Balances Low on Credit Cards and Other Revolving Credit. ...
Apply for and Open New Credit Accounts Only as Needed. ...
Don't Close Unused Credit Cards.
Answer:
Pay off his personal loan for his entertainment system.
Step-by-step explanation:
Use the inequality to express the statement in symbols. The population (P) varied from 1000 to 15000 in the rural towns.
PLEASE HELP ME IM IN A FINAL!!!!
Answer:
[tex]1000\leq P\leq 15000[/tex].
Step-by-step explanation:
It is given that the population (P) varied from 1000 to 15000 in the rural towns.
We need to write an inequality which express the statement in symbols.
Variable P represents the population of rural towns.
Since population varied from 1000 to 15000, therefore the value of P must be greater than or equal to 1000 and less than or equal to 15000.
It can be written as
[tex]1000\leq P\leq 15000[/tex]
Therefore, the required inequality is [tex]1000\leq P\leq 15000[/tex].
Which expression correctly shows x6+2x3+1 factored completely over the integers?
a) (x3+1)2
b) (x+1)2(x2−x+1)2
c) (x+1)(x2−x+1)
d) (x2+1)(x4−x2+1)
Answer:
Option a.
Step-by-step explanation:
The given expression is
[tex]x^6+2x^3+1[/tex]
Splitting the middle term, it can be rewritten as
[tex]x^6+x^3+x^3+1[/tex]
[tex](x^6+x^3)+(x^3+1)[/tex]
Taking out GCF fro each parenthesis.
[tex]x^3(x^3+1)+1(x^3+1)[/tex]
[tex](x^3+1)(x^3+1)[/tex]
[tex](x^3+1)^2[/tex]
Therefore, the correct option is a.
A pencil company used 49 grams of rubber to make 7 pencils, which is a rate of grams per pencil?
Answer:
7 grams per pencil
Step-by-step explanation:
49 grams/7 pencils
divided both parts of the fraction by 7 to simplify to the number of grams for just one pencil so you end up with:
7 grams/1 pencil
What is the area of a right triangle if the height is 5 and the hypotenuse is 25
In which of the following was E.W. Marland least successful?
Answer:
In cooperating with government
Step-by-step explanation:
Heavy borrowing by Marland led to financiers obtaining control of stock and ownership of Marland Oil, which then became Continental Oil Company, or Conoco. Marland continued to work for his former company but was made destitute by the Great Depression. He lost his oil empire, attributing his economic woes to lack of government regulation over banking.
i just had this question on an assignment, hope this helps.