Answer: -13
Step-by-step explanation:
c-2y
= -5-2(4)
= -5 - 8
= -13
Answer:
-13
Step-by-step explanation:
\(c=-5\\y=4\\c-2y=\\-5-(4*2)=\\-5-8=\\-13\)
The expression is equal to -13 when \(c=-5\) and \(y=4\).
Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1
Answer:
Step-by-step explanation:
To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.
Given:
y = -3a + 3
a = -5x + 1
Substituting the value of "a" in the first equation:
y = -3(-5x + 1) + 3
Now, let's simplify this expression:
y = 15x - 3 + 3
y = 15x
Therefore, y can be expressed as a function of x as:
y = 15x
Decide whether the given ordered pair is a solution to the system of equations.
y = −4x
y =1/2x+7
(-2,8)
Answer:
No, the ordered pair is not a solution to the system of equations
Step-by-step explanation:
Plug x and y into the equations and if both equations are true, then the ordered pair is a solution. Y is 8 and X is -2
8 = -4(-2) is correct
8= 1/2(-2) + 7 is not correct, the equation is equal to 6, not 8.
Simplify sin(u - pi) to a single trig function using a sum or difference of angels identity.
Answer:
- sinu
Step-by-step explanation:
using the difference identity for sine
sin(a - b) = sinacosb - cosasinb
then
sin(u - π )
= sinucosπ - cosusinπ
= sinu(- 1) - cosu(0)
= - sinu - 0
= - sinu
Which mode shows two equal expressions when X = 3 ?
What is the value of x? Round only your final answer to the nearest hundredth.
The length of the hypotenuse is 12.52 yards.
Given that a right triangle, we need to find the value of the hypotenuse x,
Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.
We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.
Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.
We know that, the cosine of the angle is the ratio of the base to the hypotenuse,
So,
Cos 37° = 10 / x
x = 10 / Cos 37°
x = 12.52
Hence the length of the hypotenuse is 12.52 yards.
Learn more about cosine of the angle click;
https://brainly.com/question/9932656
#SPJ1
which type of plate boundary is illustrated in each of the following figures below
Answer:
SEXXXXXXXZZZZZz
Step-by-step explanation:
AJ is writing a report about Calvin Coolidge. He's including information about the former president's early days. Should he quote directly from a biography of Coolidge or paraphrase the information? Why?️
Use the diagram of ABCD to find x.
Answer:
x = 5
Step-by-step explanation:
AB = CD, so x + 2 = 2x - 3
2 + 3 = 2x - x
x = 5
Find the radius of convergence R of the series.
∞∑ₙ₋₁ n/bn (x − a)ⁿ, b > 0
Find the Interval of convergence of the series. (Enter your answer using Interval notation.)
Expand. (1-4m)(m^2-3m+8) your answer should be a polynomial in standard form.
Answer:
13m²−35m+8−4m³
Step-by-step explanation:
Expand (1 − 4m)(m² − 3m + 8) by multiplying each term in the first expression by each term in the second expression.
1m² + 1 (−3m) + 1 ⋅ 8 − 4m ⋅ m² − 4m (−3m) − 4m ⋅ 8
Simplify terms.
13m²−35m+8−4m³
McGraw-Hill Companies,
1. PHONES Acme Phone Company charges $21 a month plus $0.05 a minute. Belltone
Phones charges $15 a month plus $0.11 a minute. Write and solve an equation to
determine how many minutes a month you must use for the costs of using either
company to be equal.
Answer:
10 minutes
Step-by-step explanation:
Let's call the Acme Company A and Beltone as B
Let m be the number of minutes
A = $21 + $0.05m
B = $15 + $0.11m
A = B$21 + $0.05m = $15 + $0.11m$6 + $0.05m = $0.11m$6 = $0.06m10 = mIt will take 10 minutes for both prices to be equal.
-Chetan K
Eve took a road trip to visit an old friend. She expected the drive to take 3 hours and 30 minutes, but she was delayed by construction and it actually took 4 hours. What is the
percent error for her estimate?
12.5% is the percentage error of eve's estimation.
What is percentage error?The accuracy and proximity of an estimate to the actual value of a specific experiment or quantity are measured in terms of percent error. Using this strategy, you may assess whether or not the data collecting is going in the proper path. Experts in statistics and big businesses are its main users. Students that are interested in studying economics should place a high priority on it.
Given, Eve took a road trip to visit an old friend. She expected the drive to take 3 hours and 30 minutes, but she was delayed by construction and it actually took 4 hours.
From the general formula of percentage error = \(\frac{actual value - expected value}{actual value}* 100\)
for our given data, Actual value = 4
estimated value = 3.5
Thus, percentage error = (4-3.5)/ 4 = (1/8)*100 = 12.5
Therefore, Eve's estimate has a percentage inaccuracy of 12.5%.
Learn more about percentage error here:
https://brainly.com/question/4170313
#SPJ1
Two boxes need to be wrapped in paper (with no overlap). Both boxes are in the shape of right rectangular prisms.
Box A measures 1.2 feet high, 0.6 feet long, and 1 foot wide. Box B measures 1.6 feet high, 0.5 feet long and 1.6 feet wide.
The wrapping paper costs $6.79 per 80 square feet.
What is the cost of wrapping both boxes?
Enter your answer in the box.
The cost of wrapping both boxes would be = $1.13
How to o calculate the area of rectangular prisms?Surface Area of a rectangular prism = 2 (lh +wh + lw )
For box A;where length = 0.6
width = 1
height =1.2
The surface area of Box A
= 2( 0.6×1.2+1×1.2+0.6×1)
= 2( 2.52)
= 5.04ft²
For box B ;where length = 0.5
width = 1.6
height =1.6
Area = 2(0.5×1.6+1.6×1.6+0.5×1.6)
= 2(4.16)
= 8.32ft²
The total area of the boxes = 5.04+8.32 = 13.36
But 6.79 = 80 ft²
X = 13.36ft²
make X the subject of formula;
X = 13.36×6.79/80
X = 90.7144/80
X= $1.13
Learn more about rectangles here:
https://brainly.com/question/28497588
#SPJ1
A data set is normally distributed with a mean of 25 and a standard deviation of 1.
Using the Empirical Rule, what percent of the data is greater than 26?
Group of answer choices
34%
16%
13.5%
23%
what is the perimeter
Answer:
2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2
B is the correct answer.
-2 + 12/25 enter the answer as an exact decimal
Answer:
-1.52
Step-by-step explanation:
-2+0.48=-1.52
Determine the slope, if it exists, of the graph of the given linear equation
y= - 1.6x + 7
Algebra
Answer:
Step-by-step explanation:
The slope intercept form of a line is
y=mx+b where m=slope and b=y intercept
So the slope of that line is -1.6
4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)
The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)
For the first question:
The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.
The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.
Now, let's analyze the answer options:
A. A line passes through the point (0, 0) and continues through the point (3, 12).
This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.
B. A line passes through the point (0, 0) and continues through the point (2, 8).
This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).
C. A line passes through the point (0, 0) and continues through the point (6, 24).
This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.
D. A line passes through the point (0, 0) and continues through the point (12, 3).
This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).
Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.
For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?
for more such question on point visit
https://brainly.com/question/1859113
#SPJ8
+
3. -5y- 10=-60
Solve the equation for -5y- 10=-60
Answer:
y=10
Step-by-step explanation:
you first add 10 to both sides
the bring down the -5y
thr divide it -50 with -5
using the table find the value of y when x=2
Answer:
y = 8 when x = 2
Step-by-step explanation:
y = 4x
which of these is most likely to weigh 2 kilograms car roast chicken horse egg tea bag
The item most likely to weigh 2 kilograms is a roast chicken.
Which of them would weight 2 kilograms?
The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.
The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.
Learn more about weight:https://brainly.com/question/31659519
#SPJ1
Need to find the Step by step how to do this problem?
Answer:
y=10x+125
Step-by-step explanation:
rise over run, so y goes up by 10 each time and x goes up by one each time so that's your X, your b is where it starts at zero so if you did -1 for x you get zero but you have to do that with the y also so 135-10=125, 125 is where your y starts and that's your b
Using a calculator or statistical software, find the linear regression line for the data in the table below.
Using the regression with the values rounded to the nearest hundredth, find the value of y at x=7. Round your answer to the nearest hundredth if necessary.
x y
0 2.83
1 3.33
2 6.99
3 8.01
4 7.62
5 7.66
Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.
To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.
Using the provided data, the linear regression line equation is:
\(\[ y = 1.3642x + 3.2324 \]\)
To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:
\(\[ y = 1.3642(7) + 3.2324 \]\)
Simplifying the equation, we get:
\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)
In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.
For more such questions on linear regression line:
https://brainly.com/question/30401933
#SPJ8
What is the difference between the sum of the measures of the interior angles in an octagon and the sum of the measures of the interior angles in a
hexagon?
540 degrees
180 degrees
360 degrees
720 degrees
PLS ANSWER IF YOU KNOW!!!
Which pair of ratios forms a proportion? A.) 3/4 and 4/6B.) 6/10 and 9/15C.) 2/5 and 5/8D.) 9/4 and 4/9
Let's begin by listing out the information given to us:
A.
\(\begin{gathered} \frac{3}{4}=\frac{3}{4} \\ \frac{4}{6}=\frac{2}{3} \\ \Rightarrow\frac{3}{4}\ne\frac{2}{3} \end{gathered}\)B.
\(\begin{gathered} \frac{6}{10}=\frac{3}{5} \\ \frac{9}{15}=\frac{3}{5} \\ \frac{6}{10}=\frac{9}{15} \end{gathered}\)C.
\(\begin{gathered} \frac{2}{5}=\frac{2}{5} \\ \frac{5}{8}=\frac{5}{8} \\ \Rightarrow\frac{2}{5}\ne\frac{5}{8} \end{gathered}\)D.
\(\begin{gathered} \frac{9}{4}=\frac{9}{4} \\ \frac{4}{9}=\frac{4}{9} \\ \Rightarrow\frac{9}{4}\ne\frac{4}{9} \end{gathered}\)Therefore, option B is the correct answer; the ratios 6/10 is the same as 9/15
please help me with my online classwork!
Answer:
840 cm²---------------------------
There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.
Find the sum of areas of all five faces:
S = 2*(1/2)*16*15 + (17*2 + 16)*12 = 240 + 600 = 840Which triangle is similar to △JKH?
1. △MKN
2. △JOG
3. △MQL
4. All triangles are similar to △JKH
Given that Line a is parallel to Line b (Line a ║ Line b), the triangle that is similar to ΔJKH is 1. ΔMKN
What are similar triangles in geometry?Similar triangles are triangles that have congruent corresponding angles, and in which all three corresponding sides are proportional.
The given parameter is Line a is parallel to Line b, which gives: a║b
Two triangles are similar if they satisfy the following conditions:
Two angles in one triangle are equal to two angles in the other triangle.Each of the three corresponding sides of the two triangles are proportional.Two sides of one triangle are proportional to the corresponding two sides on the other triangle, and the included angle between the specified two sides in both triangles are congruent.According to alternate angles theorem, the angles ∠JHK in ΔJKH is congruent to the ∠KNM in triangle ΔMKN
Similarly, the angle ∠HJK in ΔJKH is congruent to the ∠KMN in ΔMKN
Therefore, ΔJKH is similar to ΔMKN by Angle-Angle, AA similarity postulate.
The correct option for the triangle similar to ΔJKH is option 1. ΔMKN
Learn more about similar triangles in geometry here:
https://brainly.com/question/14285697
#SPJ1
The colors seen on a computer screen consist of combinations of the primary colors red (R), green (G), and blue (B). The intensity of each of the three ranges from 0 to 255. This allows 2553=16,581,375 distinct colors (at least theoretically), where a particular color's designation may require up to 9 digits. For example, the (R, G, B) designation for black is (0, 0, 0), while white is (255, 255, 255), and gray is (128, 128, 128). But the colors are coded in HTML (HyperText Markup Language) in hexadecimal, so each primary color intensity then requires no more than two digits 255=FFsixteen. White is coded FFFFFF, and black is 000000. Give a similar HTML code for the color gray.
All you need to do is convert 128 (base 10) to base 16.
We have
128 = 8*16 + 0
so
128 (base 10) = 80 (base 16)
which means gray is encoded as 808080 in HTML.
A square garden has a length of (x+3) ft and a width of (x+2) ft. what is the perimeter and area of the garden?
Answer:
Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet
Step-by-step explanation:
The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)
WHICH ONE?? NEED HELP ASAP
Answer:
DD
Step-by-step explanation:
If you distribute the 2 you get 12.2x + 14 so D
The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed. A random sample of 15 devices is selected and found to have an average life of 5625.1 hours and a sample standard deviation of 226.1 hours.
Required:
a. Construct and interpret a 95% (two sided) confidence interval for the population standard deviation of the life of a biomedical device.
b. Test the hypothesis that the true mean life of a biomedical device is greater than 5500 using the P-value approach.
Answer:
Part a [5522.3511 ; 5727.8488]
Part b. The p-value is 0.050115.
The H0 is rejected and concluded that the true mean life of a biomedical device is greater than 5500.
Step-by-step explanation:
The 95 % confidence interval for the mean of the population is given by
∝= 1- 0.95= 0.05
υ= n-1= 15-1= 14
x`± t ∝() s / √n
5625.1 ± { t (0.05) (14)} 226.1 / √15
5625.1 ± 1.76 * 226.1/3.8729
5625.1 ± 102.7488
[5522.3511 ; 5727.8488]
Part b
State the null and the alternate hypothesis
H0: u= 5500 against the claim Ha: u > 5500
the test statistic
t= x`- u/ s/ √n
t= 5625.1-5500/226.1 / √15
t=2.143
The p-value is 0.050115.
The result is not significant at p < 0.05.
The H0 is rejected and concluded that the true mean life of a biomedical device is greater than 5500.