Answer:
y = [tex]\frac{1}{4}[/tex] x - 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given m = [tex]\frac{1}{4}[/tex] , then
y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
to find c substitute (- 8, - 8 ) into the partial equation
- 8 = - 2 + c ⇒ c = - 8 + 2 = - 6
y = [tex]\frac{1}{4}[/tex] x - 6 ← equation of line
This figure has two intersecting lines and a ray.
What is the value of x?
Enter your answer in the box.
x =
The figure contains a pair intersecting lines. One of the four angles formed by the intersecting lines is labeled 146 degrees. The angle opposite and not adjacent to this angle is broken into two smaller angles by a ray that extends from the point where the two lines intersect. One of these smaller angles is labeled 58 degrees, and the other smaller angle is labeled x degrees.
The 146°, and the x and 58° which are vertical angles formed by the two intersecting lines where the x and 58° are formed by the ray gives the measure of x as 88°
What are vertical angles?Vertical angles or vertically opposite angles are the angles formed by two intersecting lines and which are on either side to each other
The description parameters are;
The objects in the figure includes; Two intersecting lines and a ray
The measure of one of the angles formed by the intersecting lines = 146°
The vertically opposite angle to the 146° angle is broken into = x and 58°
Required; The value of x
Solution; The vertical angles theorem states that vertically opposite angles that are formed when two lines intersect, are congruent.
In geometry, two figures are congruent when they exactly coincide when they are superimposed, which means that the two figures have the same measurement.
Given that 146° is congruent to x + 58°, we have;
146° = x + 58° Definition of congruency and angle addition postulate
x = 146° - 58° = 88°
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A certain Figure Q is enlarged to form Figure P. Are Figures Q and P congruent?
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Not \:\: Congruent [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
If a figure is enlarged, it will still be similar to the original figure, but it won't be congruent to the original figure, because, to be congruent the figures should be of equal size/ coincide each other perfectly, which isn't possible in this scenario.
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Ana runs 3/4 mile in 6 minutes. Fill in the missing values in the table. Using the table, find the constant of proportionality. Then write the equation to represent this relationship.
1. The constant of proportionality when Ana runs 3/4 mile in 6 minutes is 0.125.
2. The missing value in the table will be 7.5 miles and 8.75 miles.
What is constant of proportionality?It should be noted that the constant of proportionality simply illustrates the ratio of two given values that have a proportional relationship.
1. In this case, Ana runs 3/4 mile in 6 minutes. Therefore, the constant of proportionality will be:
y = kx
where y = distance
x = time
3/4 = 6x
0.75 = 6k
Divide
k = 0.75 / 6
k = 0.125
The constant of proportionality is 0.125.
2. The missing value in the table will be:
y = kx
when x = 60.
y = 60 × 0.125 = 7.5 miles.
y = kx
when x = 70
y = 70 × 0.125 =8.75 miles.
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Hurry! *50 point's and brainly to the one who solve this!!* Please and thank you!
2 .) What is the special angle pair relationship between < 8 and < 4?
3.) What is the special pair relationship < 2 and < 3?
4, using the figure below, Maggie used the definition of vertical angles to help her solve for x. Since vertical angles are congruent, she set the two given expressions equal other. After solving for x, her teacher said she got the wrong value for x. Exaple where Maggie made her mistake when solving for x.
Answer:
Step-by-step explanation:
2) What type of angle is 4 and 8?
I What is the special angle pair relationship between < 8 and < 4?
Angle 4 and angle 8 are also alternate interior angles. Alternate exterior angles: Pairs of exterior angles on opposite sides of the transversal. Angle 2 and angle 7 are alternate exterior angles.
3)Twos are generally thoughtful, people-oriented, and caring, while Threes are resourceful, energetic, and determined.
4) Do not use a protractor. Use the properties of straight and vertical angles to help you.
3(x+y)=y
If (x,y) is a solution to the question above and
Y= 0, what is the ratio x/y ?
A) -4/3
B) -2/3
C) 1/3
D) 2/3
The value of x / y in the given equation will be -2 / 3. The correct option is B.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is 3(x+y) = y, the value of x / y will be calculated as:-
3(x+y) = y
( x + y ) / y = 1 / 3
( x / y ) + 1 = 1 / 3
( x / y ) = ( 1 / 3 ) - 1
( x / y ) = -2 / 3
Therefore, the value of x / y in the given equation will be -2 / 3. The correct option is B.
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Please help!!!!! I need an answer asap
Answer:
c
Step-by-step explanation:
I have finished all my math classes
A production process is checked periodically by a quality control inspector. The inspector selects simple random samples of finished products and computes the sample mean product weight. If test results over a long period of time show that of the values are over pounds and are under pounds, what are the mean and the standard deviation for the population of products produced with this process?.
The mean and the standard deviation for the population of products produced with this process are 2.0 and 0.3329
The population mean is given by
ц = [tex]\frac{L+U}{2}[/tex]
where L and U are the two given boundaries
Here, L = 1.9 and U = 2.1
⇒ ц = [tex]\frac{1.9+2.1}{2}[/tex]
⇒ ц = 2.0
Now, the z value when p =5%, from z table of probability will be
z = -1.645
Standard Deviation denoted by σ is a measure of how dispersed the data is in relation to the mean.
The Standard Deviation can be calculated by the z-score which is given as:
z = (x-ц) / (σ / [tex]\sqrt{n}[/tex])
where z is the Standard score, x is observed value, ц is mean of the sample, σ is standard deviation and n is sample size
-1.645 = (1.9 - 2.0) / (σ / [tex]\sqrt{30}[/tex])
-1.645 × (σ / [tex]\sqrt{30}[/tex]) = -0.1
1.645 × (σ / 5.477) = 0.1
σ = 0.3329
Therefore, the mean and the standard deviation for the population of products produced with this process are 2.0 and 0.3329
Complete Question: A production process is checked periodically by a quality control inspector. The inspector selects simple random samples of 30 finished products and computes the sample mean product weights [tex]x^{-}[/tex]. If test results over a long period of time show that 5% of [tex]x^{-}[/tex] the values are over 2.1 pounds and are under 1.9 pounds, what are the mean and the standard deviation for the population of products produced with this process?
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To pay for a home improvement project that totals $16,000, Genesis is choosing between taking out a simple interest bank loan at 8% for 3 years or paying with a credit card that compounds monthly at an annual rate of 15% for 7 years. Which plan would give Genesis the lowest monthly payment?
well, let's first check with the Bank
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$16000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &3 \end{cases} \\\\\\ A=16000[1+(0.08)(3)] \implies A = 19840~\hfill \underset{monthly~payment}{\stackrel{19840~\div \stackrel{months}{36}}{\approx \text{\LARGE 551.11}}}[/tex]
now let's check with the Credit Card
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ n= \begin{array}{llll} \textit{times it compounds per year} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases}[/tex]
[tex]A=16000\left(1+\frac{0.15}{12}\right)^{12\cdot 7} \implies A \approx 45425.81~\hfill \underset{monthly~payment}{\stackrel{45425.81~\div \stackrel{months}{84}}{\approx\text{\LARGE 540.78}}}[/tex]
well, seems the Credit Card is the better deal monthly wise, though in the long run is a lot of dough.
A plan which would give Genesis the lowest monthly payment is the monthly payment on a bank loan would be $317.50.
What is simple interest?Mathematically, the simple interest earned can be calculated by using this formula:
A = P(1 + rt)
Where: A represents the future value.
P represents the principal or original value.
r represents the interest rate.
t represents the time.
Now Substituting the given parameters into the formula, we have,
A = 9000[1 + (0.09 × 3)]
A = 9000[1 + 0.27]
A = 9000 × 1.27
Future value, A = $11,430.
Next, we will calculate the monthly payment over a period of 36 months as follows:
Monthly payment = Future value/Time
Monthly payment = 11,430/36
Monthly payment = $317.50.
Similarly, we will calculate the compound interest earned on the credit card :
A = 9000[1 + (0.18/12)]⁽¹² ˣ ⁷⁾
A = 9000[1 + 0.015]⁸⁴
A = 9000 × 1.015⁸⁴
A = 9000 × 3.49258954
Future value, A = $31,433.31.
Next, we will calculate the monthly payment over a period of 84 months as follows;
Monthly payment = Future value/Time
Monthly payment = 31,433.31/84
Monthly payment = $372.21.
In this context, A plan which would give Genesis the lowest monthly payment is the monthly payment on a bank loan would be $317.50.
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a rope 18M and 50Cm is to be divided into four equal parts. how long will each part be? give your answer in metres and centimetres
Answer:
4 m and 62.5 cm
Step-by-step explanation:
1 meter = 100 cm
So 18m and 50 cm = 18 x 100 + 50 cm = 1850 cm
If it is going to be divided into 4 equal parts, each part = 1850/4 = 462.5 cm
462.5 cm = 462.5/ 100 = 4 m and 0.625 m
0.625m = 0.625 x 100 = 62.5 cm
So each piece is 4 m and 62.5 cm
Find the distance between the points (9,-6) and (-3,-9).
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{9}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{-9})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~-3 - 9~~)^2 + (~~-9 - (-6)~~)^2} \implies d=\sqrt{(-3 -9)^2 + (-9 +6)^2} \\\\\\ d=\sqrt{( -12 )^2 + ( -3 )^2} \implies d=\sqrt{ 144 + 9 } \implies d=\sqrt{ 153 }\implies \boxed{d\approx 12.37}[/tex]
A $100 sweatshirt is put on sale for 40% off. One week later, the sale price is marked up by 40%. Will the marked-up price of the sweatshirt be less than, greater than, or equal to the initial price of $100?
The new price after being marked up is less than initial price of $100.
The price of sweatshirt after discount = 100 - 40%×100
Converting percentage to fraction
The price of sweatshirt after discount = 100 - (40/100)×100
The price of sweatshirt after discount = 100 - 40
Performing subtraction
The price of sweatshirt after discount = $60
The marked up sale price = 60 + 40%×60
Converting percentage to fraction
The marked up sale price = 60 + (40/100)×60
Cancelling zero and performing multiplication
The marked up sale price = 60 + 24
Performing addition
The marked up sale price = $84
Thus, the marked up price after discount will be less than the initial price of $100.
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an elliptical arch is constructed which is 6 feet wide at the base and 9 feet tall in the middle. find the height of the arch exactly 1 foot in from the base of the arch.
The height of the arch is about 6.71 feet when measured from its base at a distance of one foot.
This is further explained below.
What is an ellipse?Generally, An ellipse is a collection of points whose distances from a fixed point (focus) or fixed line (directrix) is constant and less than 1.
Depending on whether the transverse axis is horizontal or vertical, we may construct an equation for the ellipse. The main axis is located along the transverse axis. The ellipse may be represented using the following equations:
[tex]\begin{aligned}&\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1 \\&\frac{(y-k)^2}{a^2}+\frac{(x-h)^2}{b^2}=1\end{aligned}[/tex]
An elliptical arch is described as having a center height of 9 feet and a width of 6 feet. The precise height of the arch from the base has to be determined.
[tex]\frac{(y-k)^2}{a^2}+\frac{(x-h)^2}{b^2}=1[/tex]
The center (h, k) is where the graph is since we centered it at the origin (0,0). We only need to enter the numbers into the equation at this point.
[tex]\begin{aligned}\frac{(y-0)^2}{9^2}+\frac{(x-0)^2}{3^2} &=1 \\\frac{y^2}{81}+\frac{x^2}{9} &=1\end{aligned}[/tex]
Since we divided the arch in half, 0 [tex]\leq[/tex] 9 in this instance. All that is left to do is calculate the arch's height in feet from the base.
The height of 1 foot from each end of the arch must thus be determined. The locations of the arch's ends are x=-3 and x=3. Here, we have a choice between the two. We may choose x=3-1=2 for this. Therefore, all that is left to do is enter x=2 in our usual form and work out the value of y that results.
[tex]\frac{y^2}{81}+\frac{(2)^2}{9}=1[/tex]
y^2+36=81
y^2+36-36=81-36
y=3√5
Therefore, the height of the arch at 1ft from the base is 3 √5ft or approximately 6.71ft
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Recommendations Math Language arts Science Elghth grade) Y.2 Find the slope from two points ZAC Find the slope of the line that passes through (5,8) and (3, 3). Simplify your answer and write it as a proper fraction, improper fraction, or inte Submit Work it out
Henry has $75 in his bank account. If he withdraws $75 from the account, how much money will be left in the account?
Answer:
$0
Step-by-step explanation:
Henry has $75 in his bank account. If he withdraws $75 from the account, how much money will be left in the account?
$75 beginning balance - $75 withdrawal = $0
Classify the equation 4x+2=4x+2 as having one solution,no solution or infinite many solutions.
Answer:
Infinite many solutions
Step-by-step explanation:
4x + 2 = 4x + 2
-4x -4x
----------------------
2 = 2
or
4x + 2 = 4x + 2
-2 -2
-----------------------
4x = 4x
Infinite many solutions
I hope this helps!
MIRA 5(=2)-3(x-2) 5x=10-3x + 6 2x=4Mira and Vernon are simplifying the expression 5(x-2)-3(x-2). Who's process is correct, Mira, Vernon, or both?
Answer:
Mira is correct
Step-by-step explanation:
She did all the steps and Vernon skipped some so u dont rlly understand what he did u could lose points if it was an exam for example
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Write the set of coordinates for a reflection of the figure over the x-
axis.
(-1, 3) (-3, 1) (-5, 1) (-4, 6)
Check the picture below.
It takes 107 pounds of seed to completely plant an 11 acre field
How many acres can be planted per pound of seed
Answer:
0.103 acres
Step-by-step explanation:
This question tests on the concept of Conversion.
Given from the question, we know that:
107 pounds of seed = 11 acre field
To find the acres of field we can plant per pound of seed, we simply divide both sides of the equation by 107.
(107 ÷ 107) pounds of seed = (11 ÷ 107) acres of fiels
1 pound of seed = 0.103 acres of field (Rounded off to 3 significant figures)
What is the special angle pair relationship between ∠1 and ∠3?
Answer:
see explanation
Step-by-step explanation:
∠ 1 and ∠ 3 are corresponding angles
each is in the same position ( the upper left hand corner) in its group of 4 angles.
Find a point-slope form for the line with slope = 1/5 and passing through the point
(- 2, -3).
The equation of the line in point-slope form is…
Answer:
y+3= 1/5 (x+2)
Step-by-step explanation:
The point slope form looks like this.
y - y1 = m (x - x1)
the m represent slope and (x1, y1) are the coordinates of the point that the line passes through.
Jordon is calculating the slope of the trend in the scatter plot below. How can Jordon use the plot to check the reasonableness of his answer
Answer: His slope should be positive because the trend line is slanted up to the right.
Step-by-step explanation:
This answer is correct because the third line is slanted up to the right, so it makes it positive.
Can someone please explain this to me
Answer:
[tex]15u^{2}[/tex]
Step-by-step explanation:
let's say each square is = [tex]1u^{2}[/tex]
triangle A area: 2*5
[tex]\frac{2*5}{2}=5u^{2}[/tex]
----------------------------------
triangle B area: 2*2
[tex]\frac{2*2}{2}=2u^{2} \\Triangle A - B = 5 - 2= 3u^{2}[/tex]
----------------------------------
next figure
triangle C area 3*3
[tex]\frac{3/3}{2}=4.5u^{2}\\ -------------\\\\3u^{2}+4.5u^{2}=7.5u^{2}\\ -------------\\[/tex]
And since the other figure is a reflection *2
[tex]7.5u^{2}*2=15u^{2}[/tex]
Answer:
A = 15 units²
Step-by-step explanation:
the area (A) of the shaded triangle is calculated as
A = area of rectangle enclosing the triangle - area of white triangles on either side of shaded triangle and the one on top
area of rectangle = 10 × 5 = 50 units²
area of 2 congruent triangles = 2 × [tex]\frac{1}{2}[/tex] × 5 × 5 = 5 × 5 = 25 units²
area of top triangle = [tex]\frac{1}{2}[/tex] × 10 × 2 = 5× 2 = 10 units²
A = 50 - 25 - 10= 15 units²
if the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, would this change the value of p(odd number)? explain.
if the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, No , it does not change the value of p(odd number) .
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) = number of odd digits / number of faces = 4/6=2/3
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is . Then that of 3 is (because it is twice the others). The sum of probabilities must be 1.
x+x+x+x+x+2x=1
7x=1
x=1/7
P(odd number) = 3 * Prob(1) + Prob(3)
=3*1/7 +2/7 = 5/7
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Solve the inequality 8(3g-2) ≤12(2g+1)
[tex]24g - 16 \leqslant 24g + 12 \\ 24g - 24g \leqslant 12 + 16 \\ 0 \leqslant 28[/tex]
THAT IS WHERE THE INEQUALITY LEADS US THERE IS NO CERTAIN VALUE FOR g .
HOPE THIS HELPS
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Answer the question in the photo.
Answer: 5/3
Step-by-step explanation:
The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.
We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.
cual es el volumen de una pila que mide 100 cm de ancho por 110 de largo por 130 cm de alto
The volume of the pile based on the width, height, and length of the pile can be found to be 1.43 m³
How to find the volume?The volume of the pile can be found by the formula:
= Length x Width x Height
From the question, the dimensions of the pile are:
Length = 110 cm
Width = 100 cm
Height = 130 cm
The volume is:
= 110 x 100 x 130
= 1,430,000 cm³
Converted to meters gives:
= 1,430,000 / 1,000,000
= 1.43 m³
In conclusion, the volume in meters of the pile is 1.43 m³
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What is the slope of the line?
Answer:
Step-by-step explanation:
Slope= rise/run or y2-y1/x2-x1
the two points are (4,-4) and (1,4)
so, it is (( -4) - 4) /(4-1)= -8/3
slope = -8/3
hat is the complement of an
angle?
8)
What is the supplement of a 92° angle?
9)
What is the complement of a 56° angle?
For # 10-12, use the diagram to the right.
10) m/2=
88• degres
34⁰ degrees
Answer:
9. 178
Step-by-step explanation:
To find the complement subtract from 90
because complementary means sum of the angles is 90 degrees.
To find supplement, subtract from 180
because supplementary means sum of the angles is 180 degrees.
I don’t under what it is trying to say
Answer:
-2
Step-by-step explanation:
It’s asking you to solve the expression with the values given. After doing that, it’s asking you to simplify the result.
Expression - Does not have an equal sign, only the operation (multiplication, division, addition, subtraction).
TABLE-TENNIS TABLES Target purchases TIGA table-tennis tables at a cost of $180 each. If the company's operating expenses are 16% of cost, and a net profit of 7% of cost is desired, find the selling price of one table-tennis table.
Answer:
The selling price of one table-tennis is $221.40
Step-by-step explanation: