Answer:
1
Step-by-step explanation:
x^2 + 2x + 1 = (x+1)^2
Answer:
3
Step-by-step explanation:
Hope this helps.
which expresion has a valume of 7/12
Answer:
1/1 x 7/1 x 1/12
Is there any options?
Step-by-step explanation:
Answer:6/8 adding 1/4
Step-by-step explanation: Because im right probably
Giving brainliest for CORRECT awnser.
Answer:
x < 18 - 10
x < 8
Step-by-step explanation:
Answer:
8 > x
Step-by-step explanation:
-10 > x- 18
Isolate the variable, x. Note the inequality sign, treat it like an equal sign; what you do to one side, you do to the other. Add 18 to both sides:
-10 (+ 18) > x - 18 (+18)
-10 + 18 > x
Simplify. Combine like terms:
(-10 + 18) > x
18 - 10 > x
8 > x
8 > x is your answer.
~
Use the quotient property to rewrite log_(10)(x/(100,000))
Answer:
log_10(x) - log_10(100000)
Step-by-step explanation:
[tex]log_{10}(\frac{x}{100000} )\\log_{10}(x) -log_{10}(100000)\\[/tex]
Using the quotient property, log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000).
How to find quotient of a over b/c?WE can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.
Thus,
[tex]\dfrac{a}{\frac{b}{c}} = a \times \dfrac{1}{\frac{b}{c} } = a \times \dfrac{c}{b} = \dfrac{a \times c}{b}[/tex]
We have to Use the quotient property to rewrite;
[tex]log_{10} \dfrac{x}{(100,000)}[/tex]
SO, [tex]log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000)[/tex]
Therefore, Using the quotient property, log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000).
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Let a = 60. What is the value of a ÷ 5? equation
Answer:
12
Step-by-step explanation:
Just substitute 60 for a and divide it by 5
Ta Da!!
Two datasets arranged in descending order are; {8, , 4,1} and {9, , 5,2}. If the medians of the two given datasets are equal, what is the value of ( − )2?
We have been given that two datasets arranged in descending order are: [tex]\{8, x, 4,1\}[/tex] and [tex]\{9, y, 5,2\}[/tex]. We are asked to find the value of [tex](y-x)^2[/tex], if the medians of the two given datasets are equal.
First of all, we will arrange our given data sets in ascending order.
[tex]\{1,4,x,8\}[/tex] and [tex]\{2,5,y,9\}[/tex]
Since our data sets have 4 data points, so median will be average of middle two terms.
[tex]\frac{4+x}{2}[/tex] and [tex]\frac{5+y}{2}[/tex]
Now we will equate both median as we are told that median of both data sets are equal.
[tex]\frac{5+y}{2}=\frac{4+x}{2}[/tex]
Cross multiply:
[tex]2(5+y)=2(4+x)[/tex]
Divide both sides by 2:
[tex]\frac{2(5+y)}{2}=\frac{2(4+x)}{2}[/tex]
[tex]5+y=4+x[/tex]
[tex]5-5+y-x=4-5+x-x[/tex]
[tex]y-x=-1[/tex]
Let us square both sides of our equation.
[tex](y-x)^2=(-1)^2[/tex]
[tex](y-x)^2=1[/tex]
Therefore, the value of [tex](y-x)^2[/tex] would be 1.
Find the perimeter of the rectangle using the formula P=2L+2W
Answer:
349.6
Step-by-step explanation:
P= 2(72.3) + 2(102.5)
Answer:
349.6
Step-by-step explanation:
You buy $2,500of saving bonds at 1.7%interest.how many years will it take for your investment to equal $3000?
Answer:
It will take 12 years using simple interest
Step-by-step explanation:
2,500 x 1.7% = 42.5
42.5 x 12 + 510
2500 +510 +3010
Solve for a given 2e^a =4b
Answer:
a = ln(2b)
Step-by-step explanation:
Divide by 2 and take the natural log.
e^a = (4b)/2 = 2b
a = ln(2b)
An automobile manufacturer has given its car a 31.131.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this car since it is believed that the car performs over the manufacturer's MPG rating. After testing 110110 cars, they found a mean MPG of 31.331.3. Assume the population variance is known to be 3.613.61. Is there sufficient evidence at the 0.10.1 level to support the testing firm's claim?
Answer:
[tex]z=\frac{31.3-31.1}{\frac{1.9}{\sqrt{110}}}=1.104[/tex]
Now we can calculate the p value with this probability:
[tex]p_v =P(z>1.104)=0.135[/tex]
Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean for this case is higher than 31.1MPG using a significance level of 10%. So then the cliam makes sense
Step-by-step explanation:
Information given
[tex]\bar X=31.3[/tex] represent the sample mean
[tex]\sigma=\sqrt{3.61}= 1.9[/tex] represent the population deviation
[tex]n=110[/tex] sample size
[tex]\mu_o =31.1[/tex] represent the value to verify
[tex]\alpha=0.1[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to check if the true mean for this case is higher than 31.1 MPG, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 31.1[/tex]
Alternative hypothesis:[tex]\mu > 31.1[/tex]
Since we know the population deviation the statistic would be given by:
[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{31.3-31.1}{\frac{1.9}{\sqrt{110}}}=1.104[/tex]
Now we can calculate the p value with this probability:
[tex]p_v =P(z>1.104)=0.135[/tex]
Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean for this case is higher than 31.1MPG using a significance level of 10%. So then the cliam makes sense
Determine the number of solutions to a system of equation:
Please help
Answer:
Step-by-step explanation:
These equations are all written in slope-intercept form, so the question is relatively easy to answer. These rules apply.
if slopes are different: 1 solutionif slopes are the same and y-intercepts are different, 0 solutionsif slopes are the same and y-intercepts are the same, infinitely many1. y=-6x-2; y=-6x-2 --- infinitely many
2. y=0.5x+5; y=0.5x+1 --- zero
3. y=0.25x-2; y=5x-4 --- one
4. y=2x+3; y=4x-1 --- one
5. y=2x+1.5; y=2x+1.5 --- infinitely many
6. y=-x-3; y=-x+3 --- zero
_____
Slope-intercept form is ...
y = mx +b
m is the slope
b is the y-intercept
Answer:
Step-by-step explanation: 1. y=-6x-2; y=-6x-2 --- infinitely many
2. y=0.5x+5; y=0.5x+1 --- zero
3. y=0.25x-2; y=5x-4 --- one
4. y=2x+3; y=4x-1 --- one
5. y=2x+1.5; y=2x+1.5 --- infinitely many
6. y=-x-3; y=-x+3 --- zero
Write a rule for the geometric sequence with the given description
Answer:
a. [tex] a_n = -3(5^{n - 1}) [/tex]
b. [tex]a_n = 72(3^{1 - n})[/tex]
Step-by-step explanation:
a.
[tex] a_1 = -3 [/tex]
[tex] a_2 = -3(5^1) [/tex]
[tex] a_3 = -3(5^2) [/tex]
Notice that in each term, the exponent of the 5 is 1 less than the term number.
The general term is
[tex] a_n = -3(5^{n - 1}) [/tex]
b.
[tex] a_1 = 72 [/tex]
[tex] a_2 = 72(\dfrac{1}{3})^1 [/tex]
[tex] a_3 = 72(\dfrac{1}{3})^2 [/tex]
Notice that in each term, the exponent of the 1/3 is 1 less than the term number.
The general term is
[tex] a_n = 72(\dfrac{1}{3})^{n - 1} [/tex]
[tex] a_n = 72(\dfrac{1}{3^{n - 1}}) [/tex]
[tex] a_n = 72(3^{1 - n}) [/tex]
A tire manufacturer has 1000 units of raw rubber to use in producing radial tires for passenger cars and tractor tires. Each radial tire requires 5 units of rubber; each tractor tire requires 20 units. Labor costs are $80 for a radial tire and $120 for a tractor tire. Suppose the manufacturer does not wish to pay more than $15,000 in labor costs and wishes to make a profit of $100 per radial tire and $250 per tractor tire. How many of each kind of tire should be made in order to maximize profit
Answer:
180 Passenger Car Tires and 5 Tractor Tires should be produced in order to maximize profit.
Step-by-step explanation:
Here, we can form two equations from the given situation.
First, we are given that the total raw tube units are 1000. And 5 units are required for passenger car tire, while 20 units are required for tractor tire. So, the equation becomes:
5 x + 20 y = 1000 -------- eqn (1)
where,
x = no. of passenger car tires produced
y = no. of tractor tires produced
Another condition is given that, maximum labor cost should be $ 15,000. Since, the labor cost is $80 for a passenger tire and $120 for a tractor tie. Thus, the equation becomes:
80 x + 120 y = 15000 -------- eqn (2)
Solving eqn (1) and eqn (2), simultaneously, we get:
x = 180
y = 5
Therefore,
No. of Passenger Car Tires Produced = x = 180
No. of Tractor Tires Produced = y = 5
The average hourly wage for a high school student in Illinois is $8.25 per hour with a standard deviation of $.25. Assume hourly wages vary normally.
A) Determine the margin of error for this scenario.
B) For the previous question you just answered, construct a 95% confidence interval for the hourly wage for a high school student.
C) For the 95% confidence interval you just constructed, does an hourly wage of $9.15 fall within that acceptable range?
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: hourly wage of a high school student
X~N(μ;σ²)
X[bar]= $8.25
σ= $0.25
For a 95% CI for the average hourly wage for 1 high school student:
For this exercise you have to consider the sample size n=1
a) The margin of error of the CI is calculated as:
d= [tex]Z_{1-\alpha /2}[/tex] * σ
1-α: 0.95 ⇒ α:0.05
1-α/2:0.975
[tex]Z_{1-\alpha /2}= Z_{0.975}= 1.96[/tex]
d= 1.96 * 0.25= 0.49
b)
The formula for the interval is
X[bar] ± [tex]Z_{1-\alpha /2}[/tex] * σ
[8.25 ± 0.49]
[7.76; 8.74]
With a 95% you'd expect the interval $[7.76; 8.74] to include the average hourly wage of one high school student in Illinois.
c)
Te calculated interval is $ [7.76; 8.74] the value $9.15 does nor fall within that acceptable range.
I hope this helps!
Aiden wanted to model -15 + 15 = 0 on the number line. He first drew an arrow 15 units long starting from zero that pointed to the left. He then draws another arrow 15 units long starting from zero that points to the right. What error did Aiden make?
A. The first arrow he drew should have pointed to the right to represent -15.
B. The second arrow he drew should have pointed to the left to represent 15.
C. The first arrow he drew should have started at -15 instead of 0.
D. The second arrow he drew should have started at -15 instead of 0.
Answer:
I think it's D
Step-by-step explanation:
The number never goes over 0 so there is no need to put anything above 0
Answer:
the answer is D. The second arrow he drew should have started at -15 instead of 0.
Step-by-step explanation:
was on a test I took and got 100
Jose can run 1 miles in 1/6 of
an hour. How far can he run
in one hour?
Answer:
He can run 8 miles in one hour.
Step-by-step explanation:
We have,
Jose can run 1 1/3 miles in 1/6 of an hour.
We need to find how far he can run in one hour.
[tex]1\dfrac{1}{3}\ \text{miles}=\dfrac{1}{6}\ \text{hour}[/tex]
Now using unitary method,
[tex]1\ \text{hour}=\dfrac{4}{3}\times 6\ \text{miles}[/tex]
or
[tex]1\ \text{hour}=8\ \text{miles}[/tex]
So, he can run 8 miles in one hour.
A number pattern starts with 10 and follows the rule "multiply by 3." What is true
about all of the numbers in this pattern?
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the volume of a can of beans with a height of 20 cm. and a radius of 12 cm? Use 3.14 to approximate π. Express your answer in hundredths.
Based on the above math problem fill in the numbers for the known values. Notice the units are provided, so ONLY enter the number.
Answer:
9043.20
Step-by-step ex planation:
V=π[tex]r^2[/tex]h
V= π [tex](12)^2[/tex] (20)
V=2880(π=3.14)
V=9043.2 and in hundreths that would be 9043.20
What is the circumference of the following circle?
9 cm
Answer:
9π or 28.27 cm
Step-by-step explanation:
The circumference formula is 2πr or dπ. The diameter is 9 cm so we multiply 9 with pi to get the answer.
The value of the circumference of the given circle is 9π cm OR 28.278 cm
Calculating circumference of a circleFrom the question, we are to determine the circumference of the circle.
The circumference of a circle can be calculated by using the formula,
C = πd
Where C is the circumference of the circle
and d is the diameter
From the diagram,
d = 9 cm
Therefore,
Circumference of the circle = π × 9
Take π = 3.142
Then,
Circumference of the circle = 28.278 cm
Hence, the value of the circumference of the given circle is 9π cm OR 28.278 cm
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Ollivanders stuffed bear shop has 456 bears in stock exactly half of them Are made from wool how many wool does Mr.oillvander have in stock
Answer:
228 of them are made from wool, but there is no enough information to determine how many would he has in stock.
Step-by-step explanation:
Mr Ollivander's stuffed bear shop has 456 bears in stock, and exactly half of them are made from wool, this means that 1/2 of 456 are made from wool
1/2 of 456 = 1/2 × 456 = 456/2 = 228.
That is 228 of them are made from wool.
However, nothing tells us that this is all he has in his stock. There is no information available to determine how many would he has in stock.
At the local bookstore, 4 paperback books cost $20. The table below represents the amount of books compared to the cost. Which ordered pairs could also be included in the table based on the information given?
Answer:
80 books = $400
Step-by-step explanation:
If P divided by 10 is 2. What is the value of P ?
Answer:
The value of P is 20 .
Step-by-step explanation:
Firstly, you have to create an expression in terms of p using the information :
[tex] \frac{p}{10} = 2[/tex]
Next, you have to multiply both sides by 10 :
[tex] \frac{p}{10} \times 10 = 2 \times 10[/tex]
[tex]p = 20[/tex]
Answer:
The answer would be twenty.
Step-by-step explanation:
P = 10 x 2
P = 20
Question 2 Allotted time: 15 minutes (plus 5 minutes to submit) A a large national park wants to estimate the mean diameter of all the aspen trees in the park. The park ranger believes that due to environmental changes, the aspon trees are not growing as large as they were in 1975. () Data colleted in 1975 indicate that the distribution of diameter for aspen trees in this park was approximately normal with a mean of a standard deviation of mches. Find the approximate probability that
Answer:
A park ranger at a large national park wants to estimate the mean diameter of all the aspen trees in the park. The park ranger believes that due to environmental changes, the aspen trees are not growing as large as they were in 1975. (a) Data collected in 1975 indicate that the distribution of diameter for aspen trees in this park was approximately normal with a mean of 8 inches and a standard deviation of 2.5 inches. Find the approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches.
Step-by-step explanation:
Let X be a random variable which represents the diameters of aspan trees of a park in 1975.
Given that, X ~ N(8, 2.52)
Mean (μ) = 8 inches
Standard deviation (σ) = 2.5 inches
We have to obtain P(X < 5.5 inches)
We know that if X ~ N(μ, σ²) then, X-M Z=1 ~ N(0,1)
P(X< 5.5) = P( X- μ < 5.5 - μ)
σ σ
P(X<5.5) = P(Z < 5.5 – 8 )
2.5
P(X<5.5) = P(Z < -1)
Using "pnorm" function of R we get, P(Z < -1) = 0.1587
:: P(X < 5.5) = 0.1587
The probability that a randomly selected Aspen tree in the park in 1975 would have a diameter less than 5.5 inches is 0.1587.
What is the of A in a partial fraction decomposition below?
8x+28/ (x-1)(x+2)(x+3) = A/x-1 + B/x+2 + C/x+3
Answer:
3
Step-by-step explanation:
(8x + 28) / ((x − 1) (x + 2) (x + 3)) = A / (x − 1) + B / (x + 2) + C / (x + 3)
Multiply both sides by (x − 1) (x + 2) (x + 3).
8x + 28 = A (x + 2) (x + 3) + B (x − 1) (x + 3) + C (x − 1) (x + 2)
If x = 1:
8 + 28 = A (3) (4)
36 = 12A
A = 3
Express this number in scientific notation 0.0008235
What do scientist mean by flattening the curve and why is it important?
Answer:
MRCORRECT has answered the question
Step-by-step explanation:
Inhibiting new infections to reduce the number of cases at any given time—known as "flattening the curve"—allows healthcare services to better manage the same volume of patients.
Answer:
I believe it means to slow down the virus spreading to other people and to stay safe, avoid contact, and wash your hands to stop too many people from going into the hospital.
Step-by-step explanation:
1. Si pide prestado $ 600 por siete años a una tasa de interés del 7%, ¿cuánto interés pagará?
Answer:
Su pago mensual sería de $9.06 (Espero que esto ayude)
Step-by-step explanation:
a bacteria population is 10,000. it triples each day. The bacteria population. p, is a function of the number of days, d.
A. p(d) = 10000(3)d
B. d(p) = 10000(3)p
C. p(d) = 3(10000)d
D. p(d) = 3(10000)p
Answer: D. p(d) = 3(10000)p
Step-by-step explanation:
The function is p(d) = 3(10000)p, where p is the bacteria population and the number of days, d. The correct answer would be option (D).
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
As per the given situation, we can write the function would be as:
⇒ p(d) = 3(10000)p
It states that the population of the bacteria, p, is equal to the starting population of 10,000 multiplied by 3 number of days, d. This function correctly represents the idea that the population triples each day.
Hence, the correct answer would be an option (D).
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You walk in a room and on the bed there are 2 dogs, 4 cats, one giraffe, 5 cows and a duck, 3 chickens flying above; how many legs are on the floor?
Answer:
0
Step-by-step explanation:
they are on the bed
The total legs on the floor excluding chicken is 50 legs
Word problemsFrom the given question, the following animals have 4 legs
dogs, cats, girraffe and cows
Duck and chickens both have 2 legs
The total number of legs on the floor = 4(2) + 4(4) + 1(4) + 5(4) + 1(2)
Total number. = 8 + 20 + 22
Total number = 50legs
Hence the total legs on the floor excluding chicken is 50 legs
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A computer company produced this graph to show how many computers it expects to sell based on
how much the company spends on Internet advertising. The company expects to sell 40 million
computers, spending $5 million on Internet advertising. Which set of units and scales are appropriate
for the two axes?
Horizontal axis: Number of Computers (in millions):
Vertical axis: Advertising Dollars (in millions)
Horizontal axis: Advertising Dollars (in millions):
Vertical axis: Number of Computers (in tens of
millions)
Horizontal axis: Advertising Dollars (in millions);
Vertical axis: Number of Computers (in millions)
1 2
3
4
5
6
Horizontal axis: Number of Computers (in millions):
Vertical axis: Advertising Dollars (in tens of millions)
Answer:
The first one
Horizontal axis: Number of computers (in millions):
Vertical axis: Advertising Dollars (in millions):
Step-by-step explanation:
Since we have given that
Number of computers expected to sell = 40 millions
Cost price of internet advertising = $5 million
According to the graph, we can see that
40 millions is the y-coordinate and $5 million is the x-coordinate.
so, Horizontal axis - y- axis is the "Number of computers".
Vertical axis - x- axis is the "Advertising cost "
The set of units and scales are appropriate for the two axes
Horizontal axis: Number of computers (in millions):
Vertical axis: Advertising Dollars (in millions):
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Given:
Number of computers expected to sell = 40 millions
Cost price of internet advertising = $5 million
From to the graph, we can see that
40 millions is the y-coordinate and $5 million is the x-coordinate.
So, Horizontal axis - y- axis shows the "Number of computers".
and, Vertical axis - x- axis shows the "Advertising cost ".
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Consider the triangle.
Which statement is true about the lengths of the sides?
45°
Each side has a different length.
Two sides have the same length, which is less than the
length of the third side.
D. The three sides have the same length.
D. The sum of the lengths of two sides is equal to the
length of the third side.
45°
Answer:
Assuming this is a 45 - 45 - 90 right triangle, The answer would be B) Two sides have the same length, which is less than the length of the third side
Hence statements stated true false along with reason
What is triangle?A triangle is a three-sided polygon with three edges and three vertices in geometry. The sum of a triangle's interior angles equals 180 degrees is the most significant feature of a triangle.
Triangle of Isosceles: Triangle with Obtuse Angle
Triangle Inequality in the Scalene Triangle
Triangle Surface Area: Triangle with Sharp Angle
Triangle with Right Angles: Triangle Form of Pascal...
How to solve?Given a triangle and statements related to it let's check
Each side has a different length.
-This statement can't always be true as in equilateral triangle all sides are equal
Two sides have the same length, which is less than the
length of the third side.
-this statement is correct but when it is a right angles triangle where other two anges are 45degrees each then this can't be true.
The three sides have the same length.
-this statement is true for equilateral triangle
D. The sum of the lengths of two sides is equal to the
length of the third side.-
-This statement is true when we talk of only right angled triangle
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