Answer:
7.50 x 3= 22.50
22.50+9= 31.50
Step-by-step explanation:
If each necklace was $7.50 and she got one for each of her 3 sisters then we need to multiply $7.50 by 3. Finally, she has $9 left over. So if we add the total she spent on the necklaces and the 9 she has left over then we will get the total she started with.
Hope this helps (:
Josh has a triangular garden with sides represented with 15g²- 6g + 8.The other sides are -17g² - 22g - 13 and the third side represented by 6g² - 6g + 3. What is the perimeter of her garden?
The perimeter of her garden is 4g² -34g - 2 cm.
How to calculate the perimeter?It is important to note that the perimeter of a triangle is the addition of all its side. This will be illustrated thus:
In this case, Josh has a triangular garden with sides represented with 15g²- 6g + 8. The other sides are -17g² - 22g - 13 and the third side represented by 6g² - 6g + 3.
The perimeter will be:
= 15g²- 6g + 8 -17g² - 22g - 13 + 6g² - 6g + 3.
= 4g² -34g - 2
The perimeter is (4g² -34g - 2)cm.
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chase and emily are buying stools for their patio. they are deciding between 3 33 heights (table height, bar height, and xl height) and 3 33 colors (brown, white, and black). they each created a display to represent the sample space of randomly picking a height and a color. whose display correctly represents the sample space?
Answer: 169
Step-by-step explanation:
Three to the sixth power divided by three to the third power
let's first convert this to number form.
3^6 / 3^3= what?
to divide a number with the same base but different exponent, we simply subtract the second exponent by the first exponent.
3^6 / 3^3 = 3^6-3=3^3
The results shown to the right provide the X-values, residuals, and a residual plot from a regression analysis. Is there any evidence of a pattern in the residuals? Explain. X Residuals 0510-3-2-10123XResiduals A coordinate system has a horizontal x-axis labeled from 0 to 10 in increments of 1 and a vertical axis labeled Residuals from negative 3 to 3 in increments of 0.5. The following points are plotted: (1, 0.61), (2, negative 0.73), (2, negative 0.73), (3, 1.19), (4, negative 0.36), (5, 2.42), (6, negative 0.74), (7, negative 0.25), (8, 1.76), (9, 1.61), (10, 1.61). The plotted points have no particular pattern. 1 0.61 2 −0.73 3 1.19 4 −0.36 5 2.42 6 −0.74 7 −0.25 8 1.76 9 −1.17 10 1.61 Choose the correct answer below. A. Yes, the residuals show decreasing variation. B. Yes, the residuals show a distinct curved pattern. C. Yes, the residuals show a distinct cyclical pattern. D. No, the residuals appear to be randomly spread
the correct answer is D. No, the residuals appear to be randomly distributed
What is Residual?
The residual is the deviation from the sample mean. Errors, like other population parameters (e.g. population mean), are usually theoretical. Residuals, like other sample statistics (eg, the sample mean), are measured values from the sample.
Based on the given information, the residuals are plotted against the x values in the coordinate system. Looking at the plotted points such as (1, 0.61), (2, -0.73), (3, 1.19) and so on, no clear or systematic pattern is apparent in the residuals.
To see if there is evidence of a pattern in the residuals, we would typically look for trends, cycles, or distinct patterns. In this case, no trend or consistent shape is apparent on the residual plot. The residuals appear to be randomly scattered over the x-axis range.
So the correct answer is D. No, the residuals appear to be randomly distributed. Based on the information provided, there is no clear evidence of any pattern in the residuals.
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Write the expression 83⋅83⋅83⋅83⋅83⋅83 as a power.Enter your answer by filling in the boxes.$$
Answer:
It's (8/3) 6 I took the test and that was the answer. Your Welcome!!!!!!!!!!!!!
Answer:
Its 83 the power of 6. Also Please choose my anwer as brainliest
El-6,5), F(3, -3)
find the slope
Answer: Slope = -8/9 using the slope formula
Step-by-step explanation:
please help me graph the equations y=3x and 6x+2y=12
also please tell me the coordinates
Answer:
The coordinates are x=1 y=3
Step-by-step explanation:
Marques wants to use a sheet of fiberboard 36 inches long to create a skateboard ramp with a 30^{\circ}
∘
angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.
The ramp will rise 20.79 inches from the ground at its highest end.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let's assume that the ramp will be in the shape of a right triangle, where the length of the base (the horizontal distance from the ground to the highest end of the ramp) is 36 inches and the angle between the base and the hypotenuse (the ramp itself) is 30 degrees.
We can use trigonometry to find the height of the ramp (the vertical distance from the ground to the highest end of the ramp).
First, we need to find the length of the hypotenuse. We can use the formula:
hypotenuse = base / cosine(angle)
In this case, the base is 36 inches and the angle is 30 degrees, so:
hypotenuse = 36 / cosine(30) = 41.57 inches (rounded to the nearest hundredth)
Next, we can use the formula for the sine of an angle:
sine(angle) = opposite / hypotenuse
In this case, the opposite side (the height of the ramp) is what we want to find. So we can rearrange the formula to solve for the height:
height = sine(angle) x hypotenuse
Plugging in the values we know, we get:
height = sine(30) x 41.57 = 20.79 inches (rounded to the nearest hundredth)
Therefore, the ramp will rise 20.79 inches from the ground at its highest end.
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A tree in front of a house is slightly tilted at 75o. The house is 64 feet
away from the tree. The angle formed from the house to the top of the tree is
40o. If a big storm comes and the tree will fall, will it hit the house? Justify your
answer.
Questions Answers
What is being asked in the problem?
What are the given quantities that are
important to solve the problem?
Draw / illustrate the problem or
situation. Provide necessary label for
your illustration.
Based on the given quantities, write
the formula to be used in order to
arrive at the correct answer.
Show you complete solution and state
your final answer.If a big storm comes and the tree will
fall, will it hit the house? Justify your
answer.
thanks sa sasagot
yung matino sana
The tree cannot hit the house.
We have given that,
A tree in front of a house is slightly tilted at 75 degrees. The house is 64 feet.
away from the tree. The angle formed from the house to the top of the tree is 40 degrees.
The angle at bottom of the tree is 75 degrees.
The angle at the bottom of the house is 40 degrees.
The angle at the top of the tree is 45 degrees.
What s the expression used here?
\(\frac{64}{sin65} =\frac{x}{sin40}\)
\(\frac{64}{sin65} =\frac{x}{sin40} \\x=\frac{64}{sin65} \times sin40=45.4 feet\\\)
Therefore they cannot hit the house.
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A kitten is gaining 0.6 pounds per week. the kitten is currently seven pounds. after how many weeks will the kitten be at least 10 pounds?
Write an inequality
Answer:
.6x + 7 > 10
Step-by-step explanation:
x represents the weight gained per week
What is the domain for the given function?
3 + 9x
4+5x
Answer:
12x plus 9x
Step-by-step explanation:
A city currently has 60 family-owned restaurants. In the future, it is estimated that the number of those restaurants will decline at a rat of 18% per year. Based on that estimate, what is the fewest number of years it will take for there to be less than 20 family-owned restaurants in the city? A.1 B. 3 C. 4 D. 6
The correct answer is D. 6
Explanation:
To know precisely how the number of restaurants in the city decreases over time, it is necessary to determine the 18% of the total of restaurants each year and to subtract this number. The process year per year is shown below:
First-year- 60 restaurants- Find the percentage by writing the known value and using cross multiplication
\(60 = 100\) %
\(x = 18\)%
\(x 100 = 60 x 18\)
\(x = \frac{1080}{100}\)
\(x = 10.8\) Number of restaurants that were closed
\(60-10.8 = 49.2\) New total
Second-year - 49.2 restaurants- Repeat te process
\(x = \frac{49.2x 18}{100}\) Shortened version of the equation. Total of restaurants, multiplied by percentage and divided into 100 (total percentage)
\(x = 8.8\)
\(49.2 - 8.8 = 40.4\) New total
Third-year- 40.4 restaurants
\(x = \frac{40.4 x 18}{100}\)
\(x = 7.2\)
\(40.4-7.2 = 33.2\) New total
Fourth-year- 33.2 restaurants
\(x = \frac{33.2x 18}{100}\)
\(x = 6.3\)
\(33.2- 6.3= 26.9\) New total
Fifth-year- 26.9 restaurants
\(x = \frac{26.9 x 18}{100}\)
\(x = 4.8\)
\(26.9-4.8 = 22.1\) New total
Sixth-year- 22.1 restaurants
\(x = \frac{22.1x 18}{100}\)
\(x= 3.96\)
\(22.1-3.9 = 18.1\)
According to this at this rate, it will take at least 6 years for the number of restaurants to be below 20.
please help me solve this
Answer: x = 16/17; y = 1/17
condition: x,y > 0
we have:
\(\left \{ {{\sqrt{\frac{x}{y} } =4} \atop {\frac{1}{x}+\frac{1}{y}=\frac{1}{xy} }} \right. \\\\<=>\left \{ {{\frac{x}{y} =16} \atop {\frac{1}{x}+\frac{1}{y} =\frac{1}{xy} }} \right.\)
because x > 0, multiply x by the second equation, we have:
\(\left \{ {{\frac{x}{y} =16} \atop {x(\frac{1}{y}+\frac{1}{x}) =\frac{x}{xy} }} \right. \\\\<=>\left \{ {{\frac{x}{y} =16} \atop {\frac{x}{y} +1=\frac{1}{y} }} \right.\\\\<=>\left \{ {{\frac{x}{y} +1=17} \atop {\frac{x}{y} +1=\frac{1}{y} }} \right.\\\\=>\left \{ {{17-\frac{1}{y} =0} \atop {\frac{x}{y} =16}} \right.\\\\<=>\left \{ {{\frac{1}{y} =17} \atop {x=16y}} \right.\\\\<=>\left \{ {{y=\frac{1}{17} } \atop {x=\frac{16}{17} }} \right.\)
Step-by-step explanation:
1. 108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books
(ii) the number of such books that have a mass of 20 kg
Answer:
i) around 41.7 kg
ii) 72 books
Step-by-step explanation:
i) if 108 books are 30 kg then how much is the mass for 150? You cross multiply so 150 multiply by 30 and 108 multiply by x (the unknown mass). you will get 4500=108x and then 4500/108 is the unknown mass.
ii) use the same way as above.
Suppose four treatments are being compared with an ANOVA F test at the 5% level for equality of means. There are 7 observations within each treatment.
(a) How many confidence intervals or hypothesis tests would need to be done to make significance statements for each pair-wise comparison?
[ 3, 4, 6, 8, 12, 14, 24 ]
(b). If the researcher wants to do pair-wise confidence interval comparisons with a Bonferroni adjustment and keep a FWER at most 5%, what t multiplier should be used for each CI?
a) There would be 6 confidence intervals or hypothesis tests needed to make significance statements for each pair-wise comparison.
b) The t multiplier for each confidence interval should be approximately 0.008333.
What is Bonferroni Correction?Changing the alpha () level for a family of statistical tests in order to account for the possibility of making a type I error is known as a Bonferroni Correction.
(a) To make significance statements for each pair-wise comparison, we need to conduct multiple comparisons between the treatments. The number of pair-wise comparisons can be calculated using the formula:
Number of pair-wise comparisons = (n * (n - 1)) / 2
where n is the number of treatments. In this case, there are four treatments.
Number of pair-wise comparisons = (4 * (4 - 1)) / 2
Number of pair-wise comparisons = 6
So, there would be 6 confidence intervals or hypothesis tests needed to make significance statements for each pair-wise comparison.
(b) When conducting pair-wise confidence interval comparisons with a Bonferroni adjustment, the t multiplier for each confidence interval can be determined by dividing the desired Family-Wise Error Rate (FWER) by the number of pair-wise comparisons. In this case, the desired FWER is 5% and there are 6 pair-wise comparisons.
Bonferroni-adjusted t multiplier = FWER / Number of pair-wise comparisons
Bonferroni-adjusted t multiplier = 0.05 / 6
Bonferroni-adjusted t multiplier ≈ 0.008333
Therefore, the t multiplier for each confidence interval should be approximately 0.008333.
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A(n)is used to uncover conditions and trends difficult to see by looking at individual amounts. It can be expressed as a percent, rate, or proportion.
A(n) ratio is used to uncover conditions and trends difficult to see by looking at individual amounts.
What is ratio?Ratio is used to show or express the number of times a number is in proportion to another number.
Ratio can be inform of the following:
Example of ratio is 1:2 or 1/2.
Therefore A(n) ratio is used to uncover conditions and trends difficult to see by looking at individual amounts.
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12. Name the theorem or postulate that can be used to prove that these triangles
are similar.
Answer: SAS Similarity Theorem.
Step-by-step explanation:
Due to the fact the triangles contain a singular angle per each one, whilst using the process of elimination - we are able to configure that the answer is not the AA postulate. This prevalent factor also formulates a conclusion that the answer is unable to be SSS either.
The 28 and 11.2 (Hypotenuse) sides contrive the answer SAS.
SSA is NOT adequate.
Find the center and radius of the circle represented by the equation below.
(x − 13)² + (y + 11)² = 361
-
Center:
Radius:
Answer: Center: (13, -11)
Radius: 19
Step-by-step explanation: yeah
a political action committee launches a new advertisement aimed at building support for a policy that would expand health insurance to low-income americans through increased government funding. according to zaller’s receive-accept-sample (ras) model, who would be most susceptible to this message?
According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.
The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.
Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.
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Out of 1,200 students that attend Norman Rockwell Middle School, how many would most likely sign up for after school tutoring, if 48 out of 80 students randomly surveyed said they would like to have extra help after school?
Answer:
720
Step-by-step explanation:
Out of 80 students the no. of students who sign up=48
So, out of 1200 students 48×1200÷80=720 students sign up.
Briefly explain how multiple regression enhances the two primary purposes of regression analysis.
The statistical goal of multiple regression analysis is to build a linear equation model that identifies the optimal weighted linear combination of independent variables in the study in order to optimally predict the reference variable.
Regression analysis is usually performed for one of two purposes. Predicting the value of the dependent variable of a person whose information about the explanatory variable is available, or estimating the effect of the explanatory variable on the dependent variable.
In multiple regression analysis, researchers can determine the strength of the relationship between the outcome (dependent variable) and multiple predictors, and the importance of each predictor in the relationship, often the effect of other predictors. It can be evaluated by statistically eliminating it.
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I’m doing this assignment called solving logarithmic equations and got stuck on this question
Here are the steps in solving the value of x in the equation.
1. Subtract 4 on both sides of the equation.
\(\begin{gathered} 4+(9\text{ }ln\text{ }x)-4=15.8-4 \\ 9\text{ }ln\text{ }x=11.8 \end{gathered}\)2. Divide both sides of the equation by 9.
\(\frac{9\text{ }ln\text{ }x}{9}=\frac{11.8}{9}\Rightarrow ln\text{ }x=1.31111\)3. By definition of natural logarithm:
\(ln\text{ }x=y\Leftrightarrow e^y=x\)We can rewrite ln x = 1.3111 as:
\(e^{1.31111}=3.71\)Therefore, the value of x is 3.71. (Option D).
the cost of kens car wash was $23.95. if he wants to givve his detailer a 15% tip,about how much of a tip should he leave
Ken should leave a $3.59 tip.
We will discuss algebra, a branch of mathematics that deals with symbols and the rules for manipulating them, in the context of algebra word problem worksheets.
They represent variables or quantities without set values. Our abilities to construct and solve equations must be combined in order to solve algebraic word problems.
It is crucial to start by converting verbal descriptions into algebraic formulas before tackling word issues.
To find the amount of tip he should give, we note that 15% is equal to 0.15 as a decimal.
23.95 * 0.15= 3.5925≈3.59 (approximately)
Therefore, Ken should leave a $3.59 tip.
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5.The ratio of the age of a mother and her son is 5:2. If the
age of the son is 16 years, find the age of mother.
Answer:
The age of mother is:
40 years
Step-by-step explanation:
2a = 5b
b = 16
a = age of a mother
b = age of her son
2a = 5*16
2a = 80
a = 80/2
a = 40
probe:
2*40 = 5*16 = 80
100 points pls help
ABCD is a trapezium.
A
р
B
AB = p
AD = 9
DC AB = 3:2
D
С
a) Write vector DC in terms of p.
+
b) Work out vector BC in terms of p and q.
Give your answer in its simplest form.
Answer:
a) 2/3pb) q + 1/2pStep-by-step explanation:
Given
AB = pAD = qa)
DC /AB = 3/2 ⇒ DC = 3/2AB = 3/2pb)
BC = AD + (DC - AB)BC = q + (3/2p - p) = q + 1/2pAnswer:
a) DC=1.5p
b) q=0.5p
Step-by-step explanation:
8. (8 points) Solve the following system of linear equations. 2x - 5y + z = -9 x + 4y - 6z = 2 3x – 4y – 2z = -10
Therefore, the solution to the given system of linear equations is: x = 2y - 4 = 2(5/3) - 4 = -2/3 y = 5/3 z = 8/3
The given system of linear equations is, 2x - 5y + z = -9 (i) x + 4y - 6z = 2 (ii)
3x - 4y - 2z = -10 (iii)
Let's solve this system using the elimination method. From equations (i) and (iii), we have:
2x - 5y + z = -9 ........(i)
3x - 4y - 2z = -10.......(iii)
We can eliminate z from these equations by multiplying equation (i) by 2 and adding it to equation (iii) as shown:4x - 10y + 2z = -18 (2i)3x - 4y - 2z = -10........(iii)
7x - 14y = -28............(iv)
Divide equation (iv) by 7, and we get
x - 2y = -4....................(v)
Now let's eliminate z from equations (ii) and (iii). We can do this by multiplying equation (ii) by 2 and adding it to equation (iii) as shown:
x + 4y - 6z = 2.......(ii)
3x - 4y - 2z = -10.......(iii)
2x + 8y - 12z = 4.......(ii)
3x - 4y - 2z = -10.......(iii)
5x + 4y - 14z = -6.......(vi)
Now, let's eliminate y from equations (v) and (vi). To do this, we can multiply equation (v) by 4 and add it to equation (vi) as shown:
4x - 8y = -16..........(v)
5x + 4y - 14z = -6.......(vi)
9x - 14z = -22.........(vii)
We can now solve for z by substituting equation (vii) into equation (iv). Therefore:
9x - 14z = -22 (vii)
x - 2y = -4 (v)
Solve equation (v) for x as follows:x = 2y - 4Substitute this into equation (vii) to get:
9(2y - 4) - 14z = -22
Simplify and solve for z as follows:
18y - 36 - 14z = -22 18y - 14z = 14 9y - 7z = 7
Now, we can substitute the values we have obtained for x and z into equation (ii) to solve for y as follows:
x + 4y - 6z = 2 (ii)2y - 4 + 4y - 6z = 2 6y - 7z = 3 6y - 7(1) = 3 6y - 7 = 3 6y = 10 y = 5/3
Now we can substitute x = 2y - 4 and y = 5/3 into any of the three original equations to solve for z. Using equation (i), we get:
2x - 5y + z = -9 2(2y - 4) - 5y + z = -9 4y - 8 - 5y + z = -9 -y + z = 1 z = y + 1 = 5/3 + 1 = 8/3.
Hence, the main answer is
x = -2/3, y = 5/3, z = 8/3.
Therefore, the solution to the given system of linear equations is: x = 2y - 4 = 2(5/3) - 4 = -2/3 y = 5/3 z = 8/3.
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a study of treatments for angina (pain due to low blood supply to the heart) compared bypass surgery, angioplasty, and use of drugs. the study looked at the medical records of thousands of angina patients whose doctors had chosen one of these treatments. it found that the average survival time of patients given drugs was the highest. what do you conclude?
We can conclude that due to the help of nurses, the survival time of patients given drugs was the highest.
The nurse takes the patient's cardiac output and makes a decision on how the patient will react to the medication.
What types of tasks does a nurse perform?
Registered nurses (RNs) administer and supervise patient care, educate the public about various ailments, and provide psychological support and counseling to patients' relatives. Most nurses collaborate to doctors in a variety of contexts.
How many years do such people live?
People who have access for informal health information as having a nurse or doctor in the parents 10% more likely to remain past the age of 80, according study released in a journal article by that of the Directorate of Economic Research.
Therefore, we can conclude that due to the help of nurses, the survival time of patients given drugs was the highest.
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how many k-lists (x1, x2, . . . , xk) are possible, such that each xi is a positive integer and 1 ≤ x1 ≤ x2 ≤ · · · ≤ xk ≤ n?
The number of possible k-lists (x₁, x₂, ..., xₙ) where each xₙ is a positive integer and 1 ≤ x₁ ≤ x₂ ≤ · · · ≤ xₙ ≤ n is given by the formula n choose k, or (n choose k) = n!/(k!(n-k)!)
First, let's consider the case when k = 1. In this case, there is only one integer in the list, and it must be a positive integer between 1 and n inclusive. Therefore, there are n possible k-lists when k = 1.
We can continue this process for larger values of k.
In general, the number of possible k-lists is the number of ways we can choose k positive integers between 1 and n inclusive such that the first integer is less than or equal to the second integer, the second integer is less than or equal to the third integer, and so on up to the kth integer being less than or equal to n.
Using the formula for combinations, this is equal to n choose k, or (n choose k) = n!/(k!(n-k)!), where n! is the factorial of n.
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The equation of a parabola is y=2x^2 +8x +3
Write the equation in vertex form and show your work.
Answer: y = 2(x + 2)² - 5
Step-by-step explanation:
We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.
Given:
y = 2x² + 8x + 3
Factor the 2 out of the first two terms:
y = 2(x² + 4x) + 3
Add and subtract \(\frac{b}{2} ^2\):
y = 2(x² + 4x + 4 - 4) + 3
Distribute the 2 into -4 and combine with the 3:
y = 2(x² + 4x + 4) - 5
Factor (x² + 4x + 4):
y = 2(x + 2)² - 5
Solve the following system of equations graphically on the set of axes below.y= \frac{1}{4}x+5y=41x+5y= -x-5y=−x−5
Answer:
b
Step-by-step explanation: