Answer:
y = 1 and y = 5
Step-by-step explanation:
[tex]( 3 y -9)^2 + 7 = 43\\\\((3y)^2 + (-9)^2 + 2(3y)(-9)) = 43 - 7\\\\(9y^2 + 81 -54y) = 36\\\\9y^2 -54y + 81 -36 = 0\\\\9y^2 -54y + 45 = 0\\\\9(y^2 -6y + 5) = 0\\\\y^2 - 6y + 5 = 0\\\\y^2 - 5y - y + 5 = 0\\\\y(y - 5) -1(y - 5 ) = 0 \\\\( y - 1 )( y - 5) = 0\\\\y = 1 \ , \ y = 5[/tex]
The values of y in the equation (3y-9)^2+7 = 43 are 1 and 5
How to solve for y?The equation is given as:
(3y-9)^2+7 = 43
Subtract 7 from both sides of the equation
(3y - 9)^2 = 36
Take the square root of both sides
3y - 9 = ±6
Add 9 to both sides
3y = 9 ± 6
Divide through by 3
y = 3 ± 2
Expand
y = (3 - 2 or 3 + 2)
Evaluate
y = 1 or 5
Hence, the values of y are 1 and 5
Read more about quadratic equations at:
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UB needs to need to create a team of 4 players for the competition out of 10 volunteers. How many
different teams are possible?
Answer:
604,800
Step-by-step explanation:
10*9*8*7*6*5*4
Nevaeh is going to drive from her house to City A without stopping. Let DD represent Nevaeh's distance from City A tt hours after leaving her house. The table below has select values showing the linear relationship between tt and D.D. Determine the distance from Nevaeh's house to City A, in miles.
t d
1 195
2 130
2.5 97.5
Answer:
Step-by-step explanation:
Answer:
260
Step-by-step explanation:
Can y’all help me on question 20?!
Answer:
yes I can help you but ???
in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?
Answer and Step-by-step explanation:
1. 2 pairs (aka 4 sides) of Opposite Sides are equal
2. AB and DC are parallel, and AD and BC are parallel
3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal
4. 4 right angles
5. AB and DC are equal, and AD and BC are equal
6. 4 Triangles
7. False
8. Diagonals of a rectangle.
#teamtrees #PAW (Plant And Water)
Find the slope thanks
If the triangles are similar which are true
Answer:
b
Step-by-step explanation:
need help asap! The graphs below have the same shape. what is the equation of the red graph?
no links
Answer:
B. [tex]g(x) = x^{3} - 5[/tex]
Step-by-step explanation:
The graph of f(x) is the graph of g(x) translated 5 units downwards.
Write the ones digit of the squares of the following numbers. (a) 21287
7
___________________
Noah assigns a number to each of the 150 athletes at his school and puts the numbers in a box. He randomly chooses 30 numbers and finds that 18 of the
athletes watched television last night. Use this sample to make an inference about how many athletes watched television last night.
Answer:
90
Step-by-step explanation:
18 out of 30 watched tv
150/30 = 5
18/30 = (18 * 5)/(30 * 5) = 90/150
Answer: 90
A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?
Step-by-step explanation:
Well it would be 8.75 ×7 which is 61.25m
A pair of elephants walk 26 meters on a straight slope. The height of the slope is 12 meters. Find the angle between ground and the top of the hill.
Answer:
36
Step-by-step explanation:
Answer the questions about the following polynomial.
-10x +1
Answer:
Step-by-step explanation:
Given polynomial is (-10x + 1).
This polynomial has two terms.
Therefore, it's a binomial with two separate terms.
The expression represents a binomial polynomial with two terms. The constant term is 1, the leading term is -10x, and the leading coefficient is (-10).
Solve (x + 5)∕3 = 4 for x.
Answer:
7
Step by step explanation:
1. multiply both sides by 3
3(x+5)/3 =4 x 3
2. Simplify
x + 5=12
3. Subtract 5 from both sides
x+5-5=12-5
4. Simplify
7
There are 90 girls in fourth form 25 of whom study biology what percentage of fourth form girl study biology?
The table shows how the time it takes a train to travel between two cities depends on its average speed. The table shows how the time it takes a train to travel between two cities depends on its average speed Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour? What does the number 160 represent in the rational function that models the situation? distance, in miles, between the cities amount of fuel, in gallons, used by the train time, in minutes, needed to travel between the cities
Answer:
Step-by-step explanation:
Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour?
✔ y = 160/x
What does the number 160 represent in the rational function that models the situation?
✔distance, in miles, between the cities
amount of fuel, in gallons, used by the train
time, in minutes, needed to travel between the cities
Answer: NOTE Pictures Are not in order! Make sure you check page number.
Step-by-step explanation:
On page 6 the answers are ”C” and ”5lbs”
On page 7 the answers are “C”, “$ 418”, “ The cat”, and then “ $960”.
On page 8 the answers are : < Just copy paste this below.>
“Based on the calculation, they should purchase the second television as the cost is cheaper.
Based on the information given in the question, the cost of the first television will be:
= $330 + ($14 × 8)
= $330 + $102
= $442
The cost of the second television will be:
= $369 + ($9 × 8)
= $369 + $72
= $441
Therefore, the second television is cheaper.”
^
<Just copy paste this. > [Then check. “A,B,C,”.]
On page 9 the answer is “ D “.
Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?
Answer:
What is 1/3 of 814
Step-by-step explanation:
What is 1/3 of 814
Answer: I think C
Step-by-step explanation:
A spinner is divided into 4 equal sections numbered 1 through 4. It is spun twice, and the numbers from each spin are added.
What is the probability that the sum is less than 6?
Answer:
4equal to plus 5 eul is to be 9
HELP THIS IS FOR MY FINAL GRADE
Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week. In her first week of business, her profits were $600. How much money will she make in all over 5 weeks?
Answer:
Ida makes $ 6960 in 5 weeks.
Step-by-step explanation:
Let the profit of the first week is p.
p = $ 600
Total profits of the five weeks
= p + (p + 0.15p) + (p + p +0.15 p) + (p + p + p + 0.15 p) + (p + p + p + p + 0.15 p)
= 11 p + 0.6 p
= 11 x 600 + 0.6 x 600
= 6600 + 360
= $ 6960
So, Ida makes $ 6960 in 5 weeks.
Please help someone! Very important!
Answer:
OH NO
Step-by-step explanation:
Step-by-step explanation:
oh srr, I'm Vietnamese and I don't know your
country's solution
but i think my answer is correct :((
name an outcome that has a probability between 0.5 and 1
Answer:
a coin flip
Step-by-step explanation:
The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.
Select all that apply.
A spinner is divided into 4 equal sections. Which of the following are true?
The experimental probability is for each section.
If the spinner is spun 64 times, you would predict it to land on each section 16 times.
The spinner will land on each section of the spinner an equal number of times.
The theoretical probability is 25% for each section.
Multiple choice!!!
Answer:
(B) If the spinner is spun 64 times, you would predict it to land on each section 16 times.
&
(D) The theoretical probability is 25% for each section.
I got this question right
please answer thank you
Answer:
1536 m²
Step-by-step explanation:
To find the area of the lateral faces, calculate the height of a lateral face first.
The height of a lateral face = S
The blue triangle is right-angled, so we can use Pythagoras Theorem to find S.
[tex] \sqrt{ {h}^{2} + {0.5b}^{2} } [/tex]
[tex] = \sqrt{ {16}^{2} + {12}^{2} } [/tex]
[tex] = \sqrt{400} [/tex]
= 20 m
Total surface area of a pyramid
= total surface area of lateral faces + base area
Area of 1 lateral face
= (base × height) ÷ 2
= (24×20)÷2
= 240 m²
Total surface area of the pyramid
= 240×4 + 24×24
= 1536 m²
is this an example of direct variation? f(x)=2xy
Answer:
Yes, it is:
Step-by-step explanation:
Given
[tex]f(x) =2xy[/tex]
Required
Determine if it is a direct variation
A direct variation is represented as:
[tex]f(x)\ \alpha\ x[/tex]
Express as equation
[tex]f(x) = kx[/tex]
Compare [tex]f(x) = kx[/tex] to [tex]f(x) =2xy[/tex]
[tex]k = 2y[/tex]
Hence, it is a direct variation
Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
Answer:
The answer e i think
Step-by-step explanation:
what is 12 take away 1 3/5
10 3/5
thank your guy for the pool work
The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 132 units2 156 units2 168 units2 216 units2
WILL MARK BRAINLIEST PLEASE HELP
a survey of boys and girls in second grade was conducted asking whether or not they like pizza. The partially completed two-way table shows results of the survey. How many boys were included in the survey?
Step-by-step explanation:
answer is in the above photo
there are 29 boys total
What is 25% of 24?
What is 15% of 60?
9 is what percent of 72
Answer:
6
9
6.48
Step-by-step explanation:
this is the easiest way to solve for percentage:
[tex]\frac{part}{whole} =\frac{part}{whole}[/tex] Where all the percents (except 100) would go in part
and the whole number would go in whole
[tex]\frac{25}{100} =\frac{?}{24}[/tex] Then multiply 24 × 25 ÷ 100 = 6
[tex]\frac{15}{100} =\frac{?}{60}[/tex] Multiply 60 by 25 then divided by 100 = 9
Then for the last one 9 is what percent of 72
all we have to do is multiply 9 and then convert 72 into a decimal (0.72)
Then 9 × 0.72 = 6.48
Answer:
6.48
Step-by-step explanation:
you have to had the left then divide the right
A small engine shop receives an average of repair calls per hour, with a standard deviation of . What is the mean and standard deviation of the number of calls it receives for -hour day? What, if anything, did you assume?
Answer:
Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
N-instances of a normal variable:
For n-instances of normal variable, the mean of the distribution is: [tex]m = n\mu[/tex], and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex]
What is the mean and standard deviation of the number of calls it receives for n-hour day?
Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.
A pair of dice was rolled many times and the results appear below. Based upon these results, what is the experimental probability of rolling a multiple of 3?
Outcome
2 3 4 5 6 7 8 9 10 11 12
Frequency
3 6 8 11 14 16 15 12 9 5 1 The percent probability is = [ ? ]%
Round to the nearest percent.
Answer:
The exponential probability should be 33%.
Step-by-step explanation:
[tex]4 \div 12 = .33 \\ [/tex]
[tex].33 \times 100 = 33\%[/tex]
The experimental probability of rolling a multiple of 3 will be 33%.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A pair of dice was rolled many times and the results appear below. Based upon these results.
Outcome 2 3 4 5 6 7 8 9 10 11 12
Frequency 3 6 8 11 14 16 15 12 9 5 1
Then the experimental probability of rolling a multiple of 3 will be
Favorable events = 6 + 14 + 12 + 1 = 33
Total events = 100
Then the probability will be
P = (33 / 100) x 100
P = 0.33 x 100
P = 33%
More about the probability link is given below.
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