Answer:
-2
Step-by-step explanation:
write the problem using numbers
-6 + 7x = -20
rearrange
7x - 6 = -20
solve using inverse operations
7x - 6 = -20
+6 + 6
7x = -14
/7 /7
x = -2
Find the measure of arc TCB in circle p.(picture attached below)Answer Choices:A. 128B. 218C. 270D. 308
Minor arc TB s given to be 270 degrees
Minor arc TB + arc TCB = 360 degrees (sum of angles at a point)
90 + arc TCB = 360
arc TCB = 360 - 90
arc TCB = 270
The correct option is option C
What is the value of x in the figure ? In this diagram,
△ABD≅△CAD.
A √160
B 8
C 16/5
D √5
E 25/4
F 16
9514 1404 393
Answer:
E. 25/4
Step-by-step explanation:
The right triangles are similar so the sides are proportional.
short side/hypotenuse = x/10 = 10/16
x = 100/16 = 25/4 . . . . . . multiply by 10
A line with a slope of –1/4 passes through the point (–6,5). What is its equation in point-slope form?
The point- slope form of the line is y-5 = -0.25(x+6).
What is line?
A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.
A line with a slope of –1/4 passes through the point (–6,5)
Any line in point - slope form can be written as
y - y₁= m(x -x₁) -------(1)
where,
y= y coordinate of second point
y₁ = y coordinate of first point
m= slope of the line
x= x coordinate of second point
x₁ = x coordinate of first point
In the given problem (x₁ , y₁) = (-6,5) and m= -1/4
Putting all these values in equation (1) we get,
y-5= (-1/4) (x- (-6))
⇒ y-5 = -0.25(x+6)
Hence, the point- slope form of the line is y-5 = -0.25(x+6).
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Find the upward unit normal n to the surface 7cos(xy)=e
8z
−13 at (7,π,0). (Write your solution using the form (∗,∗,∗). Use symbolic notation and fractions where needed.)
The upward unit normal to the surface 7cos(xy) = \(e^(^8^z^)\)- 13 at (7, π, 0) is (0, 0, 1/√2).
What is the upward unit normal at (7, π, 0) for the surface 7cos(xy) = \(e^(^8^z^)\) - 13?To find the upward unit normal to the surface, we need to calculate the partial derivatives of the given surface equation with respect to x, y, and z.
Starting with the given equation: 7cos(xy) = \(e^(^8^z^)\)- 13, we differentiate it partially with respect to x, y, and z.
∂/∂x (7cos(xy)) = 0 - sin(xy)y∂/∂y (7cos(xy)) = 0 - sin(xy)x∂/∂z (7cos(xy)) = 8e^(8z)Evaluating these partial derivatives at the point (7, π, 0), we have:
∂/∂x (7cos(7π)) = 0 - sin(7π)π = 0∂/∂y (7cos(7π)) = 0 - sin(7π)7 = 0∂/∂z (7cos(7π)) = 8e^(8*0) = 8Next, we construct the normal vector by normalizing the vector (0, 0, 8) to obtain the unit normal vector: (0, 0, 1).
Therefore, the upward unit normal to the surface at (7, π, 0) is (0, 0, 1).
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What is the area of this figure?
Answer:
220 [mm²].
Step-by-step explanation:
all the details are in the attachment, the answer is marked with pink colour.
Cannon wants to put as much as he can into a retirement account as soon as he starts working. He deposits $25,000 at then end of each year for 5 years in an account paying 6% interest compounded annually. How much will he have in the account at the start of the 6th year? A) $140,927.34 B) $174,382.96 C) $395,240 D) $557,593.99
The compound interest formula is given by the formula
\(A\text{ = }p(1+\frac{r}{100})t\)Where A = Amount after t years
r = rate = 6
t = time = 5
p = $ 25000
For the first year
\(\begin{gathered} A=\text{ 25000(1+0.06)} \\ =25000\times1.06=26500 \end{gathered}\)For the second year
P=26500+25000=51500
\(\begin{gathered} A=51500(1+0.06) \\ =515000\times1.06=54590 \end{gathered}\)For the third year
P=54590 + 25000=79590
\(\begin{gathered} A=79590\text{ }\times1.06 \\ =84365.4 \end{gathered}\)For the fourth year
P=84365.4 + 25000=109365.4
\(\begin{gathered} A=\text{ 109365.4}\times1.06 \\ =115927.324 \end{gathered}\)For the fifth year
P= 115927.324 + 25000 =140927.324
\(\begin{gathered} A=\text{ 140927.324}\times1.06 \\ =149382.962 \end{gathered}\)At the start of the 6th year
P= 149382.962+25000= 174382.96
Answer = $174382.96
Option B is correct
PLZZZ HELPPPPP, HAVE 10 MORE QUESTIONS AND NEED TO FINISH IN 5 MINS
Answer:
2 cups
Step-by-step explanation:
It would be 1/2 times 4, which would be 2 cups of lime juice.the ____ format specifier is used to denote a signed decimal integer.
The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.
When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.
For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.
Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.
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Danielle needs to have repairs done on her house and is looking to hire a plumber and an electrician. The cost of the plumber for t hours is by Plt) = 115+25t. The cost of the electrician for t hours is given by E(t) = 55t +75. If she plans to hire them both for the same amount of tim function represents the total cost, c(t), for the plumber and the electrician as a function of time?
The total cost function is the sum of the two given functions, and this is equal to:
c(t) = 190 + 70*t
How to find the linear function for the total cost?We know that:
The plumber charges p(t) = 115 + 25*tThe electrician charges e(t) = 55*t + 75.If she hires both of them for the same time t, then the total cost function will be given by the sum of the two above functions, we will get:
c(t) = p(t) + e(t)
c(t) = (115 + 25*t) + (55*t + 75)
c(t) = (115 + 75) + (55*t + 25*t)
c(t) = 190 + 70*t
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Help please dud tomorrow
Answer: For number 1 your answer is 5.12
Step-by-step explanation:
100% right
30 points look at picture
Answer:
linear and non-proportional
Step-by-step explanation:
1/45 \(\neq\) 1/30
2/60 = 1/30
Answer:
B linear & non proportional
Step-by-step explanation:
it DOESNT go thru 0,0
its a straight upward line
every point has the same rate
changes at a constant rate
x changed so does y
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Jeff hikes 1/2 mile every 15 minutes, or 1/4 hour. Lisa hikes 1/3 mile every 10 minutes, or 1/6 hour. How far do they each hike in 1 hour?
Answer:
they each hike 2 miles
Step-by-step explanation:
Jeff: 15=1/2
*4 *4
60 min=2 miles
Lisa: 10=1/3
*6 *6
60 = 2
find the sum of measure of all the interior angle in polygon of having 30 sides
The sum of measures of all the interior angles in the polygon having 30 sides is 5040°.
What is a polygon?A polygon is a closed polygonal chain made up of a finite number of straight-line segments and is a type of planar figure in geometry. The interior and exterior angles of regular and irregular polygons are related by polygonal angles.
The angles found inside a polygon with two sides are called interior angles. By deducting 2 from the total number of sides and multiplying by 180°, we may find the sum of the interior angles of a polygon.
Sum of Interior Angles = (n-2) × 180°
n = 30
So, the Sum of Interior Angles = (30-2) × 180° = 28 × 180° = 5040°
Thus, the polygon's 30 sides add up to a total interior angle measure of, 5040°.
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-4^2-17×-4-76 pleaseeee helppppp
Answer:
-24
Step-by-step explanation:
it was hard but i got it first i did the the times and the
Answer:
8
Step-by-step explanation:
Use PEDMAS.
(-4)² - 17*(-4) - 76 = 16 - 17*(-4) - 76 {Exponents}
= 16 + 68 - 76 {Multiplication}
= 84 - 76 {Addition}
= 8 {Subtraction}
Explain the difference between (-12) and -12
Answer:
0 or none
Step-by-step explanation:
jump the number line
23 travelers forest 63 piles of plantains containing the same number of plantains and a remaining pile containing 7 plantains. They divided the plantains equally. What is the least number of plantains that each traveler got?
Answer:
14 plantains
Step-by-step explanation:
Given
\(x \to\) plantain in a pile
\(y \to\) plantain received by each
\(n = 23\) travelers
Required
The least value of y
Note that:
- There are x plantains in 1 pile, so there will be 63x in 63 piles
- The number of plantains shared is: 7 to 63x (7 represents the single plantain)
- 1 traveler gets y plantains, so 23y will receive 7 + 63x plantains
So, the equation is:
\(23y = 7 + 63x\)
Make y the subject
\(y = \frac{7 + 63x}{23}\)
The values of x and y must be integer and these values must be greater than 0.
Using trial by error method, we test the values of x starting from 1;
So, we have:
\(x = 1 \to y = \frac{7 + 63 * 1}{23} = \frac{70}{23} = 3.04\)
\(x = 2 \to y = \frac{7 + 63 * 2}{23} = \frac{133}{23} = 5.78\)
\(x = 3 \to y = \frac{7 + 63 * 3}{23} = \frac{133}{23} = 8.52\)
\(x = 4 \to y = \frac{7 + 63 * 4}{23} = \frac{259}{23} = 11.26\)
\(x = 5 \to y = \frac{7 + 63 * 5}{23} = \frac{322}{23} = 14\)
So, the smallest values of x and y that satisfy the equation is:
\((x,y)=(5,14)\)
Hence, the least number of plantain each traveler got is 14
majors in a random survey of students concerning student activities, engineering majors, business majors, science majors, and liberal arts majors were selected. if two students are selected at random, what is the probability of getting
The probability of getting two students with the same major is higher for liberal arts majors, followed by business majors, engineering majors, and science majors.
To calculate the probability of getting two specific majors when selecting two students at random, we need to know the total number of students in each major. Let's assume there are 100 engineering majors, 150 business majors, 75 science majors, and 200 liberal arts majors.
The probability of selecting an engineering major as the first student is 100/525 (total number of students). The probability of selecting another engineering major as the second student is 99/524 (one less student in the pool). Multiplying these probabilities gives us 0.036 or 3.6% chance of getting two engineering majors.
Similarly, the probability of getting two business majors is (150/525) * (149/524) = 0.082 or 8.2%, two science majors is (75/525) * (74/524) = 0.023 or 2.3%, and two liberal arts majors is (200/525) * (199/524) = 0.151 or 15.1%.
Therefore, the probability of getting two students with the same major is higher for liberal arts majors, followed by business majors, engineering majors, and science majors.
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Please Help Me! "Given ABC ~ ADE with AB = 2 Centimeters, and DE= 10 Centimeters" Whats the length of BC?
A. 6 2/3 centimeters
B. 5 Centimeters
C. 4 Centimeters
D. 6 Centimeters
Graph. (Shade. Dashed line. Solid line?)
x+3y≥3
Answer:
Since the graph looks like this, I would say solid line
g when is welch's t-test used to compare two population means, and what distributional assumptions are needed?
In the following question, Welch's t-test is used to compare the means of two populations with unequal variances. It is a variation of the standard Student's t-test, which is used when the variances are assumed to be equal.
Welch's t-test is generally used when the sample sizes are small and the variances are significantly different.
The distributional assumptions that are needed for Welch's t-test include:
Normality - The data from each population must be normally distributed, although this assumption is not always strictly required for the test to be valid.
Equal variances - The variances of the two populations must be equal. In practice, this assumption is often difficult to satisfy, particularly when the sample sizes are small. Welch's t-test does not require the assumption of equal variances.
Independence - The samples from each population must be independent of each other. This means that the observations in one sample should not be related to the observations in the other sample.
Welch's t-test is a parametric test, which means that it is based on assumptions about the underlying distribution of the data. If the distributional assumptions are not met, then the test may not be valid. In such cases, non-parametric tests may be used instead, such as the Wilcoxon rank-sum test.
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Which expressions are equivalent to Negative 9 (two-thirds x 1)? Check all that apply. Negative 9 (two-thirds x) 9 (1) Negative 9 (two-thirds x) minus 9 (1) Negative 9 (two-thirds x) 1 –6x 1 –6x 9 –6x – 9.
Answer:
8
Step-by-step explanation:
ok?
One of the logo meets the building requirements. Explain which logo meets the biulding requirements and why.
The logo that meets the building requirement must be:
Aesthetically appealingVisually accurate at all sizesMust be memorableRelated to the value being delivered.What are logos in art?A Logo in art is a visual symbol, that an organization selects as one of the primary visual identifiers of its brand.
They are first conceptualized, then built or created after much consultation with graphic and marketing professionals.
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somebody let me know something
Answer: 565.2
Step-by-step explanation:
15x12 = 180
180x3.14 = 565.2
A speck of dust 8.2 x 10^ -7 m wide. Which of the following is the best way to rewrite this quantity, using more appropriate units A. 8.2 x 10^ -10 km B.8.2 x 10^ -7 m C. 8.2 x 10^ -5 cm D. 8.2 x 10^ -4 mm
Answer:
Step-by-step explanation:
It's d credit to the person who said it
The best way to rewrite the quantity 8.2 x 10^ -7 m, using more appropriate units is D.) 8.2 x 10⁻⁴ kilometer
What is conversion?The process of changing the value of one form to another is called conversion. It doesn't affects the value, it simply converts one form to another.
Now it is given that,
Width of a speck of dust = 8.2 x 10⁻⁷ m
Since, 1 kilometer = 1000 meters = 10³ meters
Therefore, 8.2 x 10⁻⁷ m = 8.2 x 10⁻⁷ x 10³ kilometer
⇒ 8.2 x 10⁻⁷ m = 8.2 x 10⁻⁷⁺³ kilometer
⇒ 8.2 x 10⁻⁷ m = 8.2 x 10⁻⁴ kilometer
Thus, the best way to rewrite the quantity 8.2 x 10^ -7 m, using more appropriate units is D.) 8.2 x 10⁻⁴ kilometer
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PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!
Sara bought a computer that was originally priced at $896. The computer was on sale for 12% off. When she bought the computer, a 7% tax was added to the sale price. How much did Sara spend on the computer?
(Round to the nearest cent)
Answer:
$843.67
Step-by-step explanation:
1. Calculate the discount that was taken off from the original price.
$896 x 12% = $107.52
2. Subtract the discount taken off from the original price. This gives you the total paid AFTER the discount was taken.
$896-$107.52= $788.48
3. Calculate the tax amount by multiplying the discount price by the tax rate.
$788.48 x 7% = $55.19
4. Add the tax amount back to the discount price.
$788.48 + $55.19 = $843.67
How to do this question plz answer my question plz
Answer:
The total distance around the running track is 194.3 m
Step-by-step explanation:
Here, we are interested in calculating the distance around the running track.
We have two semi-circles of diameter 30m and two parallel straight lines of length 50m
Firstly let’s add the parallel straight lines, we have 50 + 50 = 100 m
Now these two semicircles when joined together gives a full circle. And since they are of same diameter, by calculating the circumference of the full circle, we can have the length around the two bends
Mathematically, that would be; πd
The circumference is thus; 22/7 * 30 = 94.29 m
Thus, the length of the running track will be 100 + 94.3m = 194.3m
Let z=1+i where i^2=-1.calculate z^2 z^3 z^4
Answer:
\(0\)
Step-by-step explanation:
\(i^2=-1\)
\(i=-1\)
Subsite i in for z
\(z=1+-1\)
Add \(-1\) to both sides
\(z=0\)
Anything multiplied by 0 is just 0.
Adam baked a cake. John ate of a cake. Susan ate of what was left. How much of the original 6 1 5 1 cake was left?
Answer:
4/6 of the cake is left
Steps down below
Step-by-step explanation:
How i got the answer:
As we know that the question is asking how much, so and we also know that Susan ate 1/5 of 5/6 so the and for the equation will be 1/6. So 5/6 - 1/6 will give you the correct answer for this question.
Steps:
1: Subtract the numbers so 5/6 subtract 1/6 =4/6
Answer: 4/6
Hope this helps.
Please help me!!!! i'm desperate!!!!!
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:
Roll Points
Same number on both dice +3
Different numbers, with an even sum +1
An odd sum -2
At the end of ten rounds, the person with the highest number of points wins.
In the first three rounds, Xander had the following rolls. Write an addition expression that can be used to find his point total at the end of the three rounds.
Answer:
3 + (-2) + (-2), or 3-2-2
Step-by-step explanation:
5, 5 1, 2, 6, 3
If the area of a rectangle is 7y2 - 3y and the width is y, then what is the length of the rectangle?
The length of the rectangle is 7y - 3
What is a Rectangle?
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. The area of a rectangle A = L×W
Where,
A = Area of the rectangle which is 7y^2 - 3y
L = Length which is unknown
W = Width of the rectangle which is y
Substituting,
7y^2 - 3y = L × y
divide through by y
(7y^2 - 3y)/y = L
L = 7y - 3
Therefore the length of the rectangle is 7y - 3
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