Answer:
x = 5 ± √17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsMultiple RootsStep-by-step explanation:
Step 1: Define
(x - 5)² = 17
Step 2: Solve for x
[Equality Property] Square root both sides: x - 5 = ±√17[Addition Property of Equality] Add 5 on both sides: x = 5 ± √17Can someone help me with this question
Answer: 85
Step-by-step explanation:
The circumference of a circle measures 360 degrees, so arc FD measures 170 degrees.
By the inscribed angle theorem, angle G measures 85 degrees.
A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the picture. However, since the wires extend out at an angle, they are also imparting force towards the left and right. Therefore, the force on each wire is greater than 15 pounds. Look at the diagram above with the vectors. Use trigonometry to find ||→ux||and ||→vx||.
||→ux||= pounds ||→vx||= pounds
What is the total force (in pounds) exerted on each wire?
||→u||= pounds ||→v||= pounds
Answer:
mind fact sub happy wala birthday quiz frist
Help me please , thank you so much
Domain: All real numbers, or (-∞,∞) depending on how you want to write it.
Range: [-4, ∞)
Vertex: (-2, -4)
Axis of symmetry: x = -2
Interval of increase: (-2, ∞)
Interval of decrease: (-∞, -2)
Y-int: (0, 0)
X-int/Zero/Solution(s): (-4, 0) and (0, 0)
For a polynomial function like this, which is a quadratic function, the domain is always negative infinity to positive infinity, or all real numbers.
The range is the lowest y-value to the highest y-value. The lowest y-value for this is at the vertex, but the function has no upper limit for the y-value.
The vertex is the point that you can very clearly see is at the tip of the graph.
Axis of symmetry is the vertical line that splits the graph in half at the vertex.
Interval of increase is the interval x values for which the function is increasing. The function increases to the right of the vertex.
Interval of decrease is to the left of the vertex.
The y-intercept is clearly (0, 0), where the graph intersects the y-axis.
The x-intercepts are also clear, since you can see where the graph intersects the x-axis.
expand the square of a binomial (y^7-11)^2
Answer:
[tex]y^{14} -22y^7+121[/tex]
Step-by-step explanation:
This equation should help:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex](y^{7}-11)^2\\\\=y^{14} +2*y^7*-11+11^2\\\\=y^{14} -22y^7+121[/tex]
Answer:
[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]
Step-by-step explanation:
[tex](y {}^{7 } - 11)( {y}^{7} - 11)[/tex]
First terms,
[tex]{y}^{14} [/tex]
Outer,
[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]
Inner,
[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]
Last,
[tex] - 11 \times - 11 = 121[/tex]
Add all terms up
[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]
13.50 x 8.5????????
help
Answer:
[tex]13.50 \times 8.5 \\ = 13.5 \times 8.5 \\ = 114.75[/tex]
Caroline has a unique pet chimpanzee that is relatively likely to have twins. Each pregnancy is independent, and Caroline's chimpanzee has a 60% chance of having 1 baby and a 40% chance of having 2 babies each
pregnancy
If X is a random variable that represents the total number of chimpanzee babies if Caroline's chimpanzee gets
pregnant twice, drag the bars to graph the probability distribution for all possible values of X.
Based on the graph, we can see that the possible values of X are 2, 3, and 4. The probability of X = 2 is 0.36, the probability of X = 3 is 0.48, and the probability of X = 4 is 0.16.
What is probability?Probability is a measure of the likelihood of an event occurring. It is usually expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
Based on the graph, we can see that the possible values of X are 2, 3, and 4. The probability of X = 2 is 0.36, the probability of X = 3 is 0.48, and the probability of X = 4 is 0.16.
We can also see that the distribution is skewed to the right, meaning that the most likely outcome is X = 3, which occurs with a probability of 0.48.
This makes sense, since the chimpanzee is more likely to have 2 babies in one pregnancy and 1 baby in the other, which would result in a total of 3 babies.
Thus, the graph provides a visual representation of the probability distribution for X and helps us to understand the relative likelihood of each possible outcome.
For more details regarding probability, visit:
https://brainly.com/question/30034780
#SPJ2
please help if anyone knows this!:)
Answer:
d
Step-by-step explanation:
because the 15ft length is the same as x
BOTS ARE LEGIT EVERYWHERE LIKE I CANT EVEN FIND A SPOT FOR PPL TO POST THEIR REAL ANSWER PLS ANYONE, BRAINLY NEEDS TO BE BETTER AT THIS
Answer:
y=-5x-3
Step-by-step explanation:
Slope: -5/1 =-5
Y2-Y1/X2-X1=2-7/1-2=-5/1
Y-intercept: -3
A fair coin and a spinner with an
equal chance of landing on the
numbers 1, 2, 3, 4, 5, and 6 are used
in a game. What is the probability of
getting an even number on the
spinner and heads on the coin?
A 1/12
B 1/6
C 1/4
D 1/2
Answer:
1/4
Step-by-step explanation:
There are 3 evens given the 6 numbers
P(even) = 3/6 =1/2
There is 1 head on a two sided coin
P(head) = 1/2
Multiply the probabilities together since they are independent events
P(even, heads) = 1/2*1/2 = 1/4
Answer:
Solution :-For odd
P = 3/6
P = ½
For head
P = ½
For both
½ × ½ = ¼
[tex] \\ [/tex]
if you invest $1,600 at 5.35% for 18 months how much simple interest is earned
Answer:
Step-by-step explanation:
Answer:
1540.8
Step-by-step explanation:
i=prt
i= 1600(.0535)(18)
i=1540.8
also i is equal to interest, p is equal to principal, r is equal to rate and t is equal to time.
Please help! Only have 30min !
Step-by-step explanation:
to change or make better - reform
???
right to vote - suffrage
runaway reading slave - Frederick Douglass
newspaper - the north star
she was women's right activist - Susan B
william lloyd garrison newspaper - the liberator
fight to reform prison - Dorthea Dix
Wich if the following is the slope of a line that passes through the points below ? Show all work
Answer: m = -1/2
Use (y2-y1)/(x2-x1) to find the slope.
HURRY TIMEDWrite an equation of the line that passes through a pair of points:
(negative 2, 2), (5, negative 5)
a.
y = StartFraction 3 Over 7 EndFractionx – StartFraction 20 Over 7 EndFraction
c.
y = Negative StartFraction 3 Over 7 EndFractionx + StartFraction 7 Over 20 EndFraction
b.
y = Negative StartFraction 3 Over 7 EndFractionx + StartFraction 20 Over 7 EndFraction
d.
y = Negative StartFraction 3 Over 7 EndFractionx – StartFraction 20 Over 7 EndFraction
Answer:
the answer is b
Step-by-step explanation:
Answer:
D.) y= -3/7x - 20/7
Step-by-step explanation:
on edge 2021
Avis purchased a Jeep for $12,480. Her down payment was $3,600. She paid the remainder in 48 monthly payments. Write a numerical expression that represents her monthly payment. *
9514 1404 393
Answer:
(12480 -3600)/48
Step-by-step explanation:
Assuming a 0% interest rate, the monthly payment will be 1/48 of the amount remaining after the down payment:
(12480 -3600)/48
_____
= 185
3/5 of a number is 30. What's the number?
PLEASEEE HELP
Answer:
N = 50
Step-by-step explanation:
Of means multiply and is means equals
3/5 * N = 30
Multiply each side by 5/3 to isolate N
5/3 * 3/5 * N = 30 * 5/3
N = 50
What is the value of the positive zero of the function defined by x2 + x - 30?
Answer:
5
Step-by-step explanation:
(x+6)(x-5)
x = 5
x = -6
can y'all pls help these☝️
Answer:
35x + 40
Step-by-step explanation:
$40 is the fee for the first day, then $35 is added for each additional day after the first day.
Chad completed 75% of a book when he read the first 180 pages. How many pages are in the book?
Answer:
240
Step-by-step explanation:
If 75% is 180, we need to find the remaining 25%.
Obviously, 25 is 1/3 of 75 (and "of" is another word for times) meaning that to find 25%, multiply 75% by 1/3.
Since 75% = 180, we do:
180 x 1/3
60
Now add these two values together to get:
180 + 60 = 240
The answer is 240
-Xax
A pair of shoes that normally sells for $85.00 goes on sale for 35% off. Season thinks that the sale price should be $50.00 but Melanie disagrees and says the price should be $55.25. Aiyanna says they are both wrong and decides the price should be $29.75. Who is correct and why?
Answer:
Melanie is correct
Step-by-step explanation:
35% of 85 is 29.75 so take that away from the original price and you get 55.25
This means the price will be 55.25$
Answer:
Melanie is correct since 65% of $85.00 is $55.25.
Step-by-step explanation:
The original price of the shoes is $85.00. That is 100% of the price of the shoes since 100% is a whole amount.
The discount on the shoes is 35%.
100% - 35% = 65%
That means the sale price is 65% of the original price. Now we calculate 65% of $85.00.
65% of $85.00 =
= 0.65 * $85.00
= $55.25
Answer: Melanie is correct since 65% of $85.00 is 55.25.
In a lab experiment, the decay of a radioactive isotope is being observed. At the
beginning of the first day of the experiment the mass of the substance was 500 grams
and mass was decreasing by 9% per day. Determine the mass of the radioactive
sample at the beginning of the 17th day of the experiment. Round to the nearest tenth
(if necessary).
Answer:
Approximately 110.6 grams remain at the beginning of the 17th day.
Step-by-step explanation:
At the beginning of the first day, the mass of the substance was 500 grams.
It decreases by 9% per day.
And we want to determine the mass of the sample at the beginning of the 17th day.
First, we need to find our ratio of decay. Since it decreases by 9% or 0.09 each day, the mass of the substance after each subsequent day will be 100% - 9% or 1 - 0.09 or 0.91 of the previous day.
We can write a exponential function to model this. An exponential function has the form:
[tex]f(x)=ar^x[/tex]
Where a is the initial term and r is the rate.
Let x represent the number of days after the first day. Substitute 500 for a and 0.91 for r:
[tex]f(x)=500(0.91)^x[/tex]
The 17th day is 16 days after the first day. So, the amount of mass remaining on the beginning of the 17th day is when x = 16. Substitute:
[tex]f(x)=500(0.91)^{16}[/tex]
Approximate. Therefore:
[tex]f(x)\approx110.6\text{ grams}[/tex]
Approximately 110.6 grams remain at the beginning of the 17th day.
The grocery store is located at (-6,5), the school is located at (8,5), and the library is located at (-6,-8). How much farther is the school from the grocery store than the library is from the grocery store?
Answer:
by 1 unit
Step-by-step explanation:
School to the grocery store is 14units
Library to grocery store is 13 units
14-13=1
Find x. Round to the nearest tenth if necessary.
Answer:
your answers are in the attachment
hope it helps...
Step-by-step explanation:
slope=1;y-intercept=-4
step by step help?
Answer: 4
Step-by-step explanation:
The volume of the polyhedron rounded to the nearest tenth is ______ cm3.
Answer:
Answer is 226.29cm³
Step-by-step explanation:
Volume of a cylinder is πr²h
22/7 *3²*8
=226.29cm³
What is 1/4 divided by 4
I need some help by today or tomorrow how can I express the ratio of 500 miles to 50 gallons of gas as a unit rate?
Answer:
More than happy to help with your homework:
500 miles = 50 gallons
(Divide both sides of the EQ by 50)
10 miles = 1 gallon
(Divide both sides by gallon)
10 miles per gallon
The diagram shows a rhombus inside a regular hexagon
Work out the size of x
Answer:
add a picture
Step-by-step explanation:
which shows the students in order from greatest test score to lease test score Alex 0.95 Octavia 16/20 Tonya 9/10 Wilson 0.87
Answer:
Alex (0.95), Tonya (0.90), Wilson (0.87), Octavia (0.80)
Step-by-step explanation:
To solve this, we have to convert all of the scores into either a decimal or a fraction. In this case, I will be solving all of them into decimals since it is easier.
Alex: 0.95
Octavia: 16/20 = 0.80
Tonya: 9/10 = 0.90
Wilson: 0.87
Therefore, we can order these from greatest score to least score.
Alex (0.95), Tonya (0.90), Wilson (0.87), Octavia (0.80)
A school board is interested in knowing how the teachers in the school district feel about the new professional development plan. They create a list of the 245 teachers in the district and randomly select 40 names from the list to survey anonymously.
Which description matches each term?
the 40 randomly selected teachers
the list of all teachers in the school district
the 245 teachers in the school district
sample
arrowRight
population
arrowRight
frame
Answer:
frame: the list of all teachers in the school district
population: the 245 teachers in the school district
sample: the 40 randomly selected teachers
Step-by-step explanation:
hope this helped !! :) #plato/edmentumfam
Answer:
Answer:
frame: the list of all teachers in the school district
population: the 245 teachers in the school district
sample: the 40 randomly selected teachers
Step-by-step explanation:
correct on plato:)
work out the value of x.
Answer:
4.8
Step-by-step explanation:
area of rectangle = lxb = 8x
area of trapezium = (a+b)h/2 = ( x+13)6 /2 = 3x + 39
Aea of whole figure = 91.8
8x + 3x+ 39 = 91.8
11x = 91.8-39
x= 52.8 /11 = 4.8
I hope im right! !t
