Answer:
х – 9 = +9
Step-by-step explanation:
The equation results from taking the square root of both sides of
(x- 9)² = 81 is x -9 = ±9.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have Equation,
(x- 9)² = 81
Now, simplifying for x we get
Take square root on both side
x-9 = √81
x -9 = ±9.
Then, the equation results from taking the square root of both sides is
x -9 = ±9.
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when the following fraction is reduced what will be the exponent on the 27 mn^ 3 / 51 m ^ 6 n
the answer is not 65 and not 4
Find the difference.
(9x2 + 10x + 4) − (9x2 + 5x − 1)
First, distribute the negative to the second set of parentheses:
(9x2+10x+4)+(-9x2-5x+1)
Now, add like term:
9x2-9x2=0
10x-5x=5x
4+1=5
Recombine each sum for the final answer:
5x+5
Hope this helps!!
The difference is 5x + 5
First, remove the parentheses by distributing the negative sign:
9x² + 10x + 4 - 9x² - 5x + 1
Combine like terms:
10x + 4 - 5x + 1 = 10x - 5x + 4 + 1 = 5x + 5
Therefore, the difference is 5x + 5
Which of the following is most likely the next step in the series?
Answer:
A
Step-by-step explanation:
What is the solution of the equation below? Round your answer to
two decimal places.
10 times log(4x) = 25
Answer:
x ≅ 79.1
Step-by-step explanation:
10log(4x) = 25
2log(4x) = 5
log((4x)²) = 5
(4x)² = 10⁵
16x² = 100,000
x² = 6,250
x ≅ 79.1
(A) 79.06 is the correct answer!
Use the distributive property to rewrite the expression -1/2(4x-16y+10z) .
Answer:
-2x + 8y - 5z
Step-by-step explanation:
-1/2*4x = -2x
-1/2 * - 16y = 8y
-1/2 * 10z = - 5z
Combine
-2x + 8y - 5z
If you break the question apart like this, you will never get confused by what the signs do. What is left for signs is what you put in the answer.
is 6/5 grater then 4/5
Hello There!
The least common denominator is 5
Comparing 6/5 and 4/5:
6/5 > 4/5
therefore
6/5 > 4/5
A vending machine automatically pours coffee into cups. The amount dispensed is normally distributed with a mean of 7.4 oz and a standard deviation of0.26 oz. Find the probability the machine will overflow an 8-oz cup.
Answer:
16%
Step-by-step explanation:
100% - 68% = 32%
32%/2 = 16%
WY+ 4) - Y= 6 is a quadratic equation.
True
False
[tex]\bf (WY+4)-Y=6\implies \stackrel{\textit{nope}}{WY+4-Y=6}[/tex]
recall, a quadratic has a polynomial with a degree of 2.
three less than two times a number is 55. What’s the number ?
Let n be a number
2n - 3 = 55
Add 3 to both sides
2n + (-3 + 3) = 55 + 3
2n = 58
Divide 2 to both sides
2n/2 = 58/2
n = 29
Hope this helped!
~Just a girl in love with Shawn Mendes
If f(x) = -3 and g(x) = 3x2 + x - 6, find (f+ g)(x).
Answer:
3x^2+x-9
Step-by-step explanation:
f+g
means you are going to add whatever f equals to what g equals
so you have
(-3)+(3x^2+x-6)
Combine like terms
3x^2+x+(-3+-6)
3x^2+x+-9
or
3x^2+x-9
Answer question please
Answer:
X=30, Scalene
Step-by-step explanation:
A circle is 360, The triangle is in the circle.
Part A:3x+30+2x+20+5x+10=360
10x+60=360
-60=-60
10x=300
x=30
Part B:Side BA is 3(30)+30=120
Side BC is 2(30)+30=90
Side AC is 5(30)+10=160
All three sides are unequal
What is the value of h?
h = 20
h = 35
h = 55
h = 70
Answer:
h = 55
Step-by-step explanation:
Each of the angles adjacent to 2h° on the straight line = (180° - 2h°)
We also know that all internal angles of a triangle add up to 180
Hence,
40 + (180-2h) + (180-2h) = 180
40 + 180 -2h + 180 - 2h = 180
220 -4h = 0
4h = 220
h = 55
Answer:
H=55
Step-by-step explanation:
8. Which is the probability that two 1-6 number cubes land on an even number?
A 0.75
B 0.50
C 0.25
D 0.10
The probability that two 1-6 number cubes both land on an even number is calculated by multiplying the individual probabilities for each cube (1/2 x 1/2), resulting in a final probability of 0.25, or answer 'C. 0.25.'
To determine the probability that two 1-6 number cubes land on an even number, we first recognize that there are three even numbers on each cube (2, 4, and 6), and thus three favorable outcomes out of six possible outcomes for each individual number cube roll. To calculate the probability of two independent events both occurring (in this case, both number cubes landing on an even number), we multiply the probabilities of each event.
The probability for one cube is 3/6, or 1/2. Therefore, for two cubes, the probability is (1/2) x (1/2) = 1/4. Expressed as a decimal, 1/4 is equivalent to 0.25.
The correct answer to the question is 'C. 0.25.'
Can someone help me plz.
What is the common ratio between successive terms in the sequence?
27, 9, 3, 1, 1/3, 1/9, 1/27, .....
a. -3
b. -1/3
c. 1/3
d. 3
Answer:
c.1/3
Step-by-step explanation:
To check, multiply 1/3 each time to each number. Note that the first number is 27:
27 x 1/3 = 27/3 = 9
9 x 1/3 = 9/3 = 3
3 x 1/3 = 3/3 = 1
1 x 1/3 = 1/3
etc.
This means that the common ratio decreases by the common multiple of 1/3.
~
The answer is C.
Hope this helps.
r3t40
Phillip has between two hundred and three hundred baseball cards. Which inequality
represents this situation?
a) p < 300 or p < 200
b) 200 < p < 300
c) p < 200 and p > 300
Od) 200 > p > 300
The answer is C I think
Answer: b) [tex]200<p<300[/tex]
Step-by-step explanation:
The given statement :Phillip has between two hundred and three hundred baseball cards.
Let the number of baseball cards is represented by .
Then , the lower limit for the p is 200 and the upper limit for p is 300.
i.e. [tex]200<p\text{ and }p<300[/tex]
Then , the compound inequality represents this situation will be :-
[tex]200<p<300[/tex]
Which of the following is a solution for the absolute value inequality |x- 6|<4
[tex]\bf |x-6|<4\implies \begin{array}{llll} +(x-6)<4\\ -(x-6)<4 \end{array}\implies \begin{cases} x-6<4\implies &\boxed{x<10}\\ \cline{1-2} -(x-6)<4\\ \stackrel{notice}{x-6\stackrel{\downarrow }{>}-4}\implies &\boxed{x>2} \end{cases}[/tex]
Which unit of measure would be appropriate for the volume of a sphere with a
radius of 2 meters?
O
A Square meters
B. Cubic meters
O
C. Meters
O
D. Centimeters
units like radius, height, width, length or segments are single units, like meter or feet.
areas are double units, so they'd be in say meter² or feet².
volumes are triple units, namely like meter³ or feet³.
Answer:
The unit of measuring volume of the sphere is cubic meter.
Step-by-step explanation:
Given : Sphere with a radius of 2 meters.
To find : Which unit of measure would be appropriate for the volume of sphere.
Solution : We have given Radius = 2 meter .
Volume = [tex]\frac{4}{3}\pi (radius)^{3}[/tex].
Volume = [tex]\frac{4}{3}\pi (2 meter)^{3}[/tex].
Volume of sphere = [tex]\frac{32}{3}\pi[/tex] meter³ .
Therefore, The unit of measuring volume of the sphere is cubic meter.
What is the measure of <B 98 108 118 128
Answer:
Step-by-step explanation:
By observation, you can see that the irregular polygon can be split into 4 triangles (see attached image). We know that the sum of the internal angles of 1 triangle is always 180 degrees. Hence the sum of all the internal angles of the polygon is,
180 degrees x 4 triangles = 720 degrees.
Therefore Angle B,
= sum of internal angles - sum of all other known angles
= 720 - (133 +102+117+90+170)
= 108 degrees.
The measure of angle B is 108 degrees.
What is angle sum property?
Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
We can divide the given polygon in split into 4 triangles.
Using, angle sum property,
The sum of the internal angles of triangle is always 180 degrees.
Hence the sum of all the internal angles of the polygon is,
=180 x 4 triangles
= 720 degrees.
Now, angle B
= 720 - (133 +102+117+90+170)
=720 -612
= 108 degrees.
Hence, angle B is 108 degrees.
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A family travels, by plane, five hundred miles from their city to a beach town. Then they take a taxi from the airport to the hotel at the beach. When they ask the driver how far the airport is from the hotel, he tells them twenty kilometers. What is the approximate total distance, in miles, the family traveled? Recall that 1 kilometer is about 0.62 miles.
Answer:
512.4 miles
Step-by-step explanation:
The distance from city to beach town = 500 miles
Distance from airport to hotel = 20 kilometers
In order to find the total distance we have to convert the kilometers in miles to bring both quantities in same unit
So,
1 kilometer = 0.62 miles
20 kilometers = 20*0.62 =12.4 miles
As both the quantities are in same unit,
The total distance = Distance from city to beach town + distance from airport to hotel
= 500 + 12.4
= 512.4 miles
Hence, total distance covered by them is 512.4 miles ..
In triangle ABC, angle C is a right angle. Find the value of the trig function indicated. Find sin A if b = 8, c = 17, a = 15
Answer:
15/17
Step-by-step explanation:
sin A = side opposite A/ hypotenuse
= a/ c
=15/17
We use the definition of sine, which leads to sin A = a/c = 15/17, giving sin A = 0.8824.
To find sin A, we can use the definition of sine in a right-angled triangle, which is the ratio of the length of the opposite side to the length of the hypotenuse.
In this case, sin A = opposite/hypotenuse = a/c = 15/17. Therefore, sin A = 0.8824, rounded to four decimal places.
An ice-cream parlor sells sundaes with 3 different types of ice-cream and 4 different toppings. They have 8 flavors of ice-cream and 10 toppings for their customers to choose from. What is the probability that a customer orders a sundae including vanilla ice-cream and chocolate syrup?
[tex]|\Omega|=\,_8C_3 \cdot\,_{10}C_4=\dfrac{8!}{3!5!}\cdot\dfrac{10!}{4!6!}=\dfrac{6\cdot7\cdot8}{2\cdot3}\cdot\dfrac{7\cdot8\cdot9\cdot10}{2\cdot3\cdot4}=11760\\|A|=\,_7C_2\cdot\, _9C_3=\dfrac{7!}{2!5!}\cdot \dfrac{9!}{3!6!}=\dfrac{6\cdot7}{2}\cdot \dfrac{7\cdot8\cdot9}{2\cdot3}=1764\\\\P(A)=\dfrac{1764}{11760}=\dfrac{3}{20}=15\%[/tex]
Camille is preparing for her English test by typing up the notes she recorded in the margins of her 98-page workbook. She already started typing her notes, and got through the first 14 pages. If Camille types for x hours at a rate of 21 pages per hour, which equation represents the number of pages she has typed, and how many hours will it take to complete the task?
21x + 98 = 14; x = 4
21x = 14 + 98; x = 5
21x + 14 = 98; x = 4
21x - 14 = 98; x = 5
Reset
Submit
Answer:
The correct answer is: 21x + 14 = 98; x = 4.
Step-by-step explanation:
She needs to type the notes she recorded in her 98-page workbook. If whe types x hours at a rate of 21 pages per hour, and 14 pages are already done. Then the equation is:
21x + 14 = 98;
Now, the number of hours she will take to complete the task can be found by solving for 'x':
21x = 98 - 14
21x = 84
x = 4.
Therefore, the correct option is: 21x + 14 = 98; x = 4.
Answer:
21x + 14 = 98; x = 4
Step-by-step explanation:
Camille has already typed notes from the first 14 pages of her workbook, and she types for x hours at a rate of 21 pages per hour. An expression for the one side of the equation needs to represent the total number of pages she has typed in terms of x. The number of pages Camille has typed after x hours is represented by the expression 21x + 14.
The workbook has a total of 98 pages. Thus, the other side of the equation which represents the number of pages Camille has typed after x hours is 98.
Hence, the equation that represents the number of pages she has typed after x hours is 21x + 14 = 98.
Solve the equation to determine how many hours it will take Camille to complete the task.
So, x = 4. Therefore, it takes Camille 4 hours to complete the task.
for a sample size of 140 and a proportion of 0.3 what is the standard deviation of the normal curve that can be used to approximate the binomial probability histogram? Round your answer to three decimal places.
Answer:
The answer is b.
Step-by-step explanation:
Have a great day!!
Factor the trinomial below x^2+7x-30
Answer:
(x + 10)(x - 7)
Step-by-step explanation:
It is 3 and 10 in some order. The difference is 7 and it is plus, so the larger number is +10 and the smaller one - 3
(x + 10)(x - 3) should be the answer
10x - 3x = 7x
The trinomial [tex]x^2+7x-30[/tex] can be factored into (x+10)(x-3) by finding two numbers that multiply to -30 and add to 7.
To factor the trinomial [tex]x^2+7x-30[/tex] we are looking for two numbers that multiply to -30 (the constant term) and add up to +7 (the coefficient of the linear term).
These two numbers are +10 and -3, as -
10 * -3 = -30 and
10 + (-3) = 7.
So, we can rewrite the trinomial as (x+10)(x-3), which are the factors of the lowest possible order.
Question 18(Multiple Choice Worth 5 points)
(09.07 MC)
Given a polynomial f(x), if (x - 1) is a factor, what else must be true?
A. f(0) = 1
b. f(1) = 0
c. f(-1) = 0
d. (0) = -1
Answer: Option b
[tex]f (1) = 0[/tex]
Step-by-step explanation:
For a function of the form
[tex]f (x) = ax ^ n + bx ^ {n-1} + ... + c[/tex]
Where n is the main exponent of the polynomial and a, b c are the coefficients of the variables then this polynomial can be written based on its factors as
[tex]f (x) = a (x-h) (x-k) (x-s)...[/tex]
Where [tex]x = h[/tex], [tex]x = k[/tex], [tex]x = s[/tex], ... are the points where [tex]f(x) = 0[/tex]
Therefore if for this case we know that
[tex](x-1)[/tex] is a factor of a polynomial function [tex]f (x)[/tex] then it is fulfilled that
[tex]f (1) = 0[/tex]
Which polynomial is in standard form?
4xy+ 3x^3 5y - 2xy +4x^7y^9
2x+y^7+7y-8x²y^5– 12xy^2
5x^5 - 9x^2y^2 - 3xy^3 + 6y^5
7x^7y^2+5x^11y^5-3xy^2+2 ASAP PLZ
Answer:
option 3 is the answer
Step-by-step explanation:
A polynomial in two variables is said to be in standard form if exponent of one variable is keep decreasing and another variable keep increasing
only option 3 follows it
As here exponent of x start from 5 and decreases up to 0
and exponent of y start from 0 and keep increasing up to 5
rest of the option do not follow this rule
Answer:
c)5x^5 - 9x^2y^2 - 3xy^3 + 6y^5
Step-by-step explanation:
Weekly payment of$315.07 are made for 25 years on a $ 212 000 home mortgage. What’s the total interest paid on the loan.?
Answer:
it depends: $197,591.00 if you count 52 weeks per year; $198,851.28 if you count 365.25 days per year and 7 days per week.
Step-by-step explanation:
If we consider a year to be 52 weeks, then the total number of payments is ...
25×52 = 1300
The total amount paid is then ...
1300×$315.07 = $409,591.00
The difference between this and the loan amount is the interest paid:
$409,591 - 212000 = $197,591
__
If you take into account the extra days in each year and the leap years, very likely there would be 4 more payments in 25 years. Then the total interest is ...
1304×$315.07 -212,000.00 = $198,851.28
Subtract 5x-6 from 7x-1
Answer:
2x+5
because you are subtracting it is basically multiplying (5x-6) by negative one so you have to distribute it out so you are basically adding (7x-1) and (-5x+6) by adding like terms you get 7x-5x= 2x and -1+6=5
so the answer is 2x+5
A square has an area of 16j^2 + 24j + 9. How can you find the length of the side of the square?
first off let's recall that a square has all equal sides, so its area is just one side squared, namely A = s², or A = (s)(s).
we know the area is 16j² + 24j + 9, that simply means that two twin factors are in it, and it also means that the area polynomial is a perfect square trinomial.
[tex]\bf \qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2 \\\\[-0.35em] ~\dotfill\\\\ 16j^2+24j+9\implies 4^2j^2+2(4j)(3)+3^2\implies (4j)^2+2(4j)(3)+3^2 \\\\\\ (4j+3)^2\implies \stackrel{\textit{area}}{(4j+3)(4j+3)}~\hspace{7em} \stackrel{\textit{one side}}{4j+3}[/tex]