Answer:
6.21
Step-by-step explanation:
8.40-2.19=6.21
Write a real-life word problem that corresponds to the equation below.
x2 = 144
Scoring Rubric
Scoring Rubric
Sample Responses:
Shane has a square garden. The area of the garden is 144 square feet. What is the side length of the garden?
Zane has a square frame that has an area of 144 square inches. What is the side length of the frame?
The area of Kelly’s square dog kennel is 144 square meters. What is the side length of the dog kennel?
Kylee’s bedroom is in the shape of a square and has an area of 144 square feet. What is the length of one wall?
2 Points
The response indicates proficiency in representing quadratic equations by writing a real-life word problem that matches a given equation. The student correctly completes the task.
1 Point
The response indicates partial proficiency in representing quadratic equations by writing a real-life word problem that matches a given equation. The student correctly completes the task but makes a minor error. Answers that give a word problem but do not involve a real-life situation receive 1 point.
0 Points
The response indicates no proficiency in representing quadratic equations by writing a real-life word problem that matches a given equation. The student shows no understanding of the concept or task. Answers that solve the quadratic equation but do not give a word problem receive 0 points.
The real life problem that corresponds to the equation will be "The area of a farmer's square garden is 144 square feet. What is the length of the garden?"
How to solve the equationA real-life word problem that corresponds to the equation x² = 144 will be that the area of a farmer's square garden is 144 square feet. What is the length of the garden?
In this case, the length of the garden will be the square root of 144. This will be calculated thus:
x² = 144
x = ✓144
x = 12
Therefore, the length of the garden is 12 feet.
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Help immediately please!! Lots of points :)
The quotient gives (f/g)(4) = -16/3 and the value that is not in the domain is x = 1.
How to find the quotient between the functions?Here we know that:
f(x) = (x + 4)(x - 6)
g(x) = x - 1
And we want to find the quotient between these functions:
(f/g)(4)
So first let's find the values of the functions when x = 4.
f(4) = (4 + 4)*(4 - 6) = 8*-2 = -16
g(4) = 4 - 1 = 3
Then the quotient is:
(f/g)(4) = -16/3
Now, the values that are not in the domain of f/g are the values that make the denominator equal to zero, because we can't divide by zero.
g(x) = 0 = x - 1
1 =x
The denominator is zero for x = 1, so that value is not in the domain.
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Lila is making a spinner game for her cousins to play she has divided it into 8 equal sections
and has labeled each section when the spinner lands on a flower her cousins will win a prize create a spinner to explore your ideas
a what is p(⭐) write as a fraction, decimal, percent
b what is probability of not getting diamond write as fraction, decimal, percent
c what is p(flower) writes as fraction, decimal, percent
b if Lilas cousins spinner 100 how many time would you expect to spin a heart
Using the probability concept, it is found that:
a) P(star) = 3/8 = 0.375 = 37.5%.b) P(not diamond) = 7/8 = 0.875 = 87.5%.c) P(flower) = 1/4 = 0.25 = 25%.d) You would expect to spin a heart 25 times.------------------------------------------------
A probability is given by the number of desired outcomes divided by the number of total outcomes.Item a:
Of the 8 sections, 3 are stars.\(\frac{3}{8} = 0.375\)Then:
P(star) = 3/8 = 0.375 = 37.5%.
Item b:
Of the 8 sections, 7 are not diamonds.\(\frac{7}{8} = 0.875\)Then:
P(not diamond) = 7/8 = 0.875 = 87.5%.
Item c:
Of the 8 sections, 2 are flowers.\(\frac{2}{8} = \frac{1}{4} = 0.25\)Then:
P(flower) = 1/4 = 0.25 = 25%.
Item d:
2 out of the 8 sections are hearts, then:\(p = \frac{2}{8} = \frac{1}{4}\)
Out of 100:
\(\frac{1}{4} \times 100 = \frac{100}{4} = 25\)
You would expect to spin a heart 25 times.
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can someone help pls
Answer:
\(5.5\)
Step-by-step explanation:
Since 1pt = 2qt, 2.75pt = 5.5qt
How to Solve this to be able to graph it: y+2=1/2(x+2)
Answer:
y=1/2x-1
Step-by-step explanation:
y+2=1/2(x+2)
y+2=1/2x+1
y=1/2x-1
The slope is 1/2 and y-intercept is -1 or (0,-1)
Step-by-step explanation:
y+2=1/2(x+2)
y+2=1/2 x +2/2
y+2=1/2x+1
Multiply through by 2
2*y +2*2 =1/2x *2 +1*2
2y+4 =x+2
2y =x+2-4
2y= x-2
y =1/2x -2/2
y=0.5x -1
so The gradient (M): 0.5
Y-intercept :-1
0.333 mutiplied by what is gives you 3. 33
A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope form.
Answer:
Your answer should be y − 5 = 5.5 ⋅ ( x − 4 )
Step-by-step explanation:
We should already know that your slope is 5.5, given the two points.
BRAINLIEST TO CORRECT PLEASE HURRY
Answer:
-32
Step-by-step explanation:
5.) Write the explicit formula for the arithmetic sequence. -18, -7, 4, 15, 26,...
Answer:
an = -18 +11(n -1)
Step-by-step explanation:
We notice that the first term (a1) is -18, and the common difference (d) is -7-(-18) = 11. Filling these values into the form for the explicit formula gives ...
an = a1 +d(n -1)
an = -18 +11(n -1)
Geologists recorded the duration (in seconds) of over 500 recent eruptions of the Old Faithful geyser in
Yellowstone National Park. Here's a histogram showing the distribution of their data:
= 210
0.26
0.22
0.18
0.15
Relative frequency
0.11
0.07
0.04
0.00
75
300
150 225
Duration (seconds)
Suppose that we were to take random samples of 30 eruptions from this population and calculate į as the
sample mean duration of the eruptions in each sample.
Which graph shows the most reasonable approximation of the sampling distribution of ?
Answer: C (A unimodal histogram, and the dotted line lands at 210)
Step-by-step explanation:
Khan Academy - “The sample size is reasonably large (n = 30 _> 30), so the sampling distribution of x will be approximately normal even though the population isn’t.”
Enter the number that belongs in the green box
The number that belongs in the green box using sine rule is 13.96.
What is sine rule?The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
To calculate the number that belongs in the green box, we use the formula below
Formula:
SinA/a = SinB/b.................. Equation 1From the diagram,
Given:
A = 70°B = 61°b = 15a = xSubstitute these values into equation 1
Sin70°/15 = sin61°/xSolve for x
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Why is nobody answering my questions
Answer:
i don't why
Step-by-step explanation:
Answer:
probably because they are:
little points
no one knows the answer
no one wants to answer
no one see them
Step-by-step explanation:
the value of a yatch went up by 78% in the first year, it then .went up by 34% in the second year, it fell by 12% in the third year. what is the value of the yatch in respect to the original price?
Answer:
0.32%
Step-by-step explanation:
Amir wants to buy a new MP3 player that costs $76.50. If he saves $8.50 each week, how many weeks will it take Amir to save enough money to buy the MP3 player? *
Answer:it would be ten weeks I think
Step-by-step explanation:
Each week he earns 8.50 so just take 8.50 times numbers until you get the closest answer to 76.50 and that’s ten
8.50 *10 = 85
Answer:
Answer:it would be ten weeks I think
Step-by-step explanation:
Each week he earns 8.50 so just take 8.50 times numbers until you get the closest answer to 76.50 and that’s ten
8.50 *10 = 85
 (6,-3) and y = - 6x - 3
The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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a teacher wants to know how much she can predict a student reading level in a given school district. the table shows the grade and reading levels of eight student.
Grade Level 4.1 5.2 7.3 8.5 6.7 10.3 6.0 6.4
Reading Level 3.6 4.5 6.2 8.1 6.5 8.2 6.1 4.4
what percent of variation in the reading level can be explained by changes in the grade level?
74.7%
82.4%
86.6%
90.7%
Answer:
82.4%
Step-by-step explanation:
To determine the percent of variation in reading level that can be explained by changes in grade level, you will need to perform a statistical analysis using a method called linear regression. Linear regression is a statistical method that is used to model the relationship between two variables, in this case, grade level and reading level.
To begin the analysis, you will need to calculate the correlation coefficient between grade level and reading level. The correlation coefficient is a measure of the strength and direction of the relationship between two variables. A correlation coefficient of 1 indicates a strong positive relationship, a correlation coefficient of -1 indicates a strong negative relationship, and a correlation coefficient of 0 indicates no relationship.
Once you have calculated the correlation coefficient, you can use it to determine the percent of variation in reading level that can be explained by changes in grade level. Specifically, you can use the following formula:
% variation = r^2 * 100%
where r is the correlation coefficient and r^2 is the square of the correlation coefficient.
For example, if the correlation coefficient between grade level and reading level is 0.9, then the percent of variation in reading level that can be explained by changes in grade level is:
% variation = (0.9)^2 * 100% = 81%
Therefore, the correct answer would be 82.4% (rounded to the nearest tenth).
is y+2=8 an expression
Answer:
no
Step-by-step explanation:
hope this helps
(4x+2)+(x-2) can someone tell me its procedure
\( \green\star\:{\underline{\underline{\sf{\orange{Answer:}}}}}\)
¡Hello :D!
To solve the similar terms we must eliminate the parentheses and then put the parentheses back but this time it would be like this: (4 x + x) + ( 2 - 2)
Once we have done that we must restore the ones on the right side which gives us the result of 1 then as we see that there is + in the Parenthesis and another + outside the Parenthesis we do not care + since we are using the law of signs .
We proceed to solve:
\(\: \: \: \: \: \: \bold \: \bold \: \bold \: ( \bf4x+2)+(x-2)\)
\(\: \: \: \: \: \: \: \: \: \: \: \: \bf \bold4x + 2 + x - 2\)
\( \: \: \: \: \: \: \: \: \bf\tt( \bf4x + x) + (2 - 2)\)
\(\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf5x\)
So the result is 5x
I hope I've helped XD
Zx and Zy are supplementary angles. Zy measures 65º.What is the measure of Zx?
Two angles are supplementary angles if the sum of the angles is 180 degrees. A simple case is when the angles lies on a straight line.
\(\angle x\text{ +}\angle y=180^o\)But,
\(undefined\)1/11 times 8/8 PLS HURRY I ONLY HAVE 2 MINUTES
Answer: 1/11
Step-by-step explanation:
8/8 is equals to 1 and so it would be 1/11 times 1 = 1/11 itself.
A P-value of 1.018943E-06 is calculated on a hypothesis test with a significance level set at 0.01. Which of the following is the correct conclusion for the test?
a. Claim the null hypothesis is true
b. Claim the alternative hypothesis is true
c. Reject the null hypothesis
d. Fail to reject the null hypothesis
"Fail to reject the null hypothesis" is the correct conclusion for the test.
We have given that,
a P-value of 1.018943 is calculated on a hypothesis test with significance level set at 0.01.
That means p-value is greater that significance level.
And we know that if p-value is greater than significance level then the effect is statistically not significant. There is no enough evidence to reject the null hypothesis.
A p-value greater than 0.01 means that deviation from the null hypothesis is not statistically significant, and the null hypothesis is not rejected.
High p-value indicates that your evidence is not strong enough to suggest an effect exist in the population. An effect might exist but it's possible that the effect size is too small, that sample size is too small or there is too much variability for the hypothesis test to detect it.
Therefore "Fail to reject the null hypothesis" is the correct conclusion for the given test.
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Which pair of angles are supplementary? Option 1 O Option 2 O Option 4 Option 3
The answer for the following question is Option 3.
Please help me. I need to find the limit. I WILL give you BRAINLIEST!
Answer:
-1
Step-by-step explanation:
The answer of this question is -1
Please help urgent thank you
If he wants an average of 84, he needs to get at least 93 points.
What score does he need to get in the next test?Remember that the average value between 3 values A, B, and C is:
(A + B + C)/3
Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:
(76 + 83 + x)/3 = 84
159 + x = 252
x = 252 - 159
x = 93
So he needs to get at least 93 points in the next exam.
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For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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Plz help me well mark brainliest if correct
Answer:
C) 86
Step-by-step explanation:
To find the mean you first add all of the numbers together. So you would add 75+90+84+95=344. Then you would divide the sum by the amount if numbers there are. So it would be 344÷4 =86
Hope this helped :)
Answer:
x = 75, 90 , 84, 95
\(Mean = \frac{ \sum x}{n}= \frac{75+90+84+95}{4} = 86\)
The time it takes to install a certain hardware is random. A technician installs this hardware on 64 computers with the average installation time being 42 minutes and the standard deviation of the times being 5 minutes. What is a 90% confidence interval for the popu
Answer:
\(40.97<\mu<43.03\)
Step-by-step explanation:
Th formula for calculating the confidence interval of a population is expressed as shown;
CI = xbar ± Z*S/√n where;
xbar is the mean or average sample
Z is the z-score at 90% confidence
S is the standard deviation
n is the sample size
Given parameters
xbar = 42
Z at 90% CI = 1.645
S = 5
n = 64
Substituting the values into the formula will give;
CI = 42±(1.645*5/√64)
CI = 42±(1.645*5/8)
CI = 42±(1.645*0.625)
CI = 42±1.028125
CI = (42-1.028125, 42+1.028125)
CI = (40.971875, 43.028125)
Hence the 90% confidence interval for the population is approximately (40.97, 43.03) i.e \(40.97<\mu<43.03\)
Rebecca ran 12 1/4 mile in 2 1/2 hours what was your average speed in miles per hour
Answer:
Your average speed was 3.29 Miles per hour (mph)
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Prove:is tangent to circle C.
The tangent at any point of a circle is perpendicular to the radius through the point of contact by showing that line PQ coincides with the radius OP.
Let us assume that we have a circle with center O and radius r.
Let P be any point on the circle .
And let Q be the point of intersection of the tangent to the circle at P and the radius OP,
To prove that PQ is perpendicular to OP.
First, we observe that OP is a radius of the circle and therefore its length is r.
Since PQ is tangent to the circle at point P,
It is perpendicular to the radius drawn from the center of the circle to point P.
As the tangent to a circle is perpendicular to the radius drawn to the point of contact.
This implies, angle QOP is a right angle.
Next, triangle OPQ is a right triangle with right angle at Q.
By the Pythagorean Theorem, we have,
OP²= OQ² + PQ²
Substituting r for OP and noting that OQ = r since Q is on the radius. we have,
⇒ r² = r²+ PQ²
Subtracting r² from both sides, we get,
⇒ PQ² = 0
This implies that PQ = 0,
In other words, that point Q coincides with point P.
PQ is a line that coincides with the radius OP.
And since angle QOP is a right angle, we can conclude that PQ is perpendicular to OP.
Therefore, it is proved that the tangent at any point of a circle is perpendicular to the radius through the point of contact.
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The above question is incomplete, the complete question is:
Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.