Answer:
A. [tex]y-5=1.5(x-4)[/tex].
B. [tex]y=1.5x-1[/tex].
Step-by-step explanation:
The given line passes through (2,2) and (4,5).
The slope the given line can be found using the formula;
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{5-2}{4-2}[/tex]
This gives [tex]m=\frac{3}{2}=1.5[/tex].
The slope-intercept form is [tex]y-y_1=m(x-x_1)[/tex].
We substitute the second point to get:
[tex]y-5=1.5(x-4)[/tex].
We expand to get:
[tex]y-5=1.5x-6[/tex].
[tex]y=1.5x-6+5[/tex].
[tex]y=1.5x-1[/tex].
What is the slope of the line that contains the points (-4,2) and (6,-3)?-
Select one:
a.-2
b.1/2
C -1/2
D -2/3
Answer:
c
Step-by-step explanation:
the formula is [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1}}[/tex]
When we plug that in we get [tex]\frac{-3-2}{6- (-4)} = \frac{-5}{10} = -\frac{1}{2}[/tex]
Hope this helps!
What is the area of a rectangle with a length of 37 inches and a width of 45 inches
Answer:
A=1665
Step-by-step explanation:
An area of a rectangle is length times width or l*w=a
16 POINTS!
WILL GIVE BRAINLIEST!
A class tracked the hours each student played games per month. Answer the questions below.
Based on the data in the line plot, show all work to calculate the following:
a) The mean
b) The median
c) The mode
d) What percentage of the students play video games for more than 4 hours in a month?
Answer:
The mean is: 85
Step-by-step explanation:
First you need to add everything up :
1 * 2 = 2
2 * 1 = 2
3 * 3 = 9
4 * 5 = 20
5 * 4 = 20
6 * 3 = 18
7 * 2 = 14
(I multiplyed them all first because i was fast than doing 4+4+4+4+4 because its the same as 4 * 5)
then add them all up 2+2+9+20+20+18+14=85
Answer:
The median is: 4
Step-by-step explanation:
Get the data in NUMERICAL ORDER (smallest to largest), then eliminate the extremes until we're at the middle. (basically chopping off the end till you get to the middle) Therfore The answer would be 4.
Answer:
The mode would be: 4
Step-by-step explanation:
The mode is Get the data in NUMERICAL ORDER, and see which value is the most frequent (we can have more than one mode).
Answer:
25%
Step-by-step explanation:
firs you do 5 divided by 20 because there are 20 x's. this will = 0.25
0.25 = 25%
I hope I get brainiest. Sorry for taking forever. Have a nice day!
y varies inversely with x
k= 1.25
What is the value of y when x is 5?
Answer:
The value of y is 0.25
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
For x=5
Find the value of y
k=1.25
substitute in the equation
[tex]y=k/x[/tex] -----> [tex]y=1.25/5=0.25[/tex]
Which matrix is the product of a 3 × 3 identity matrix and the scalar 3?
Answer:
[tex]\left[\begin{array}{ccc}3&0&0\\0&3&0\\0&0&3\end{array}\right][/tex]
Step-by-step explanation:
In order to find out the resulting matrix, we will have to multiply the identity matric and the scalar 3:
The 3x3 identity matrix is:
[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]
Multiplying with scalar 3:
[tex]3\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right][/tex]
The scalar will be multiplied by each element of the matrix.
Multiplying zeros with scalar 3 will give us zero. So the resulting matrix will be:
[tex]\left[\begin{array}{ccc}3*1&0&0\\0&3*1&0\\0&0&3*1\end{array}\right] = \left[\begin{array}{ccc}3&0&0\\0&3&0\\0&0&3\end{array}\right][/tex]
So the resultant matrix will be a scalar matrix with 3 at diagonal positions..
Answer:
it's D on edge
Step-by-step explanation:
If m 1 = 90°, what is m ACB?
90
180
270
Answer:
270
Step-by-step explanation:
m q =90
so remaining angle for a circle is 270
Answer:
270
Step-by-step explanation:
ca is 180 since it is a straight line plus the 90 from section 1
Godfrey is planning to make muffins for the community bake sale. He only has 1 3/4 cup of sugar. If one batch requires him to use 1/2 cup of sugar, how many batches can he make? Include partial batches (fractions) in your answer if there are any.
Answer:
3 1/2 Batches.
Step-by-step explanation:
1 3/4 (or 1.75) divided by 1/2 (or 0.5) equals 3.5
Parallelogram ABCD has vertices at A(0,0), B(4,5), C(8,0), D(-4,-5) Which conclusion can be made?
Answer:
AB=BC therefore ABCD is a Rhombus
Step-by-step explanation:
we have
[tex]A(0,0), B(4,5), C(8,0), D(4,-5)[/tex]
Using a graphing tool
see the attached figure
AB=BC
The figure is a flat shape with 4 equal straight sides. All sides have equal length. Opposite sides are parallel, and opposite angles are equal
therefore
The figure is a Rhombus
Apply the distributive property to simplify the expression.
−3(6x + 2)
Answer:
-3(6x + 2) = -18x - 6
[tex]\text{Hey there!}[/tex]
[tex]\text{Distributive property}\rightarrow\text{a(b + c) = a}\times\text{b + a}\times \text{c = ab + ac}[/tex]
[tex]\text{Now that we know what the distributive property SHOULD look like,}[/tex] [tex]\text{we can solve for your answer}[/tex]
[tex]\text{-3(6x + 2)}\\\text{-3(6x) = -18x}\\\text{-3(2) = -6}[/tex]
[tex]\text{ + \& - = -. so the plus sign (+) becomes a negative sign/ subtraction symbol (-)}[/tex]
[tex]\boxed{\boxed{\bf{Answer:\ -18 \ - \ 6}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Which of the values will NOT make 3x < 45 true?
12
11
16
-8 im being timed
Answer:
16
Step-by-step explanation:
3 times 16 is 48
hope this helps :)
Final answer:
The value that will not make the inequality 3x < 45 true is 16, as any value greater than or equal to 15 does not satisfy the inequality.
Explanation:
To determine which values will not make the inequality 3x < 45 true, we first solve the inequality for x by dividing both sides by 3.
Dividing 45 by 3 gives us:
45 / 3 = 15
So the inequality becomes:
< 15
Any value for x that is 15 or greater will not satisfy the inequality. Looking at the provided options (12, 11, 16, -8), the number 16 is the only value that is greater than 15, and hence, will not make the inequality true.
How many solutions does -2(w+6)-6w=4(w+3) have???
Answer:
One solution
Step-by-step explanation:
Expanding the equation, we get
-2w-12-6w=4w+12
Subtracting 4w from both sides, we get
-12w-12=12
Now adding 12 to both sides,
-12w=24
Solving for w, we get
w=-2
So there is only one solution to the equation.
Can I please get help on these and thanks!!!!
Answer:
A
Step-by-step explanation:
Question 4:
A.) Documentation Files (Field Reports)
Explanation:
Archaeologists record their findings in documentation files or field reports because that would be the more formal and official to jot down important information.
Question 5:
B.) Information Collection and Review
Explanation:
Archaeologists verify existing archaeological records through the information collection and review stage. This one was a tricky question, because it's asking about existing records, not newly found records.
Hope this helps ya :D
Select the correct answer. Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets represent their answers. Class A: {2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5} Class B: {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6} Which statement is true for the data sets?
A. The mean study time of students in Class A is less than students in Class B.
B. The mean study time of students in Class B is less than students in Class A.
C. The median study time of students in Class B is greater than students in Class A.
D. The range of study time of students in Class A is less than students in Class B. E. The mean and median study time of students in Class A and Class B is equal.
Answer:
B. The mean study time of students in Class B is less than students in Class A.
Step-by-step explanation:
First step is to calculate the mean and median for both classes.
Class A: 2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5
sorted data set: 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8
total: 96
# of students: 20
Mean/average: 96 / 20 = 4.8
Median: By looking at the sorted data set, we see that the 10th value is the first 5, so median = 5
Class B: 3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6
Sorted data set: 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7
Total: 80
# students: 20
Mean/average: 80 / 20 = 4
Median: By looking at the sorted data set, we see that the 10th value is the first 4, so median = 4
So, we can see that the mean study time for group B was less than the students of class A. Answer B.
4h + 9 = 3 + (-h + 46)
Answer: [tex]h=8[/tex]
Step-by-step explanation:
To find the value of "h" you need to:
Remember the multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]
Distribute the positive sign that is outside the parentheses to eliminate the parentheses:
[tex]4h + 9 = 3 -h + 46[/tex]
Add like terms on the righ side of the equation:
[tex]4h + 9 = -h + 49[/tex]
Add h to both sides:
[tex]4h + 9+h = -h + 49+h[/tex]
[tex]5h + 9 =49[/tex]
Subtract 9 from both sides:
[tex]5h + 9-9=49-9[/tex]
[tex]5h =40[/tex]
Divide both sides by 5:
[tex]\frac{5h}{5}=\frac{40}{5}\\\\h=8[/tex]
A trapezoid has a base of two and six and an area of 24 square units. What is the height?
[tex]\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=&\stackrel{bases}{parallel}\\ &sides\\ h=&height\\ \cline{1-2} a=&2\\ b=&6\\ A=&24 \end{cases}\implies 24=\cfrac{h(2+6)}{2}\implies 24=\cfrac{h(8)}{2} \\\\\\ 24=4h\implies \cfrac{24}{4}=h\implies 6=h[/tex]
Find the area of a circle with a circumference of 31.4 units
Final answer:
To calculate the area of a circle with a circumference of 31.4 units, first find the radius using the formula r = C / (2π), then use the area formula A = πr² to obtain an area of 78.5 square units when π is approximated to 3.14.
Explanation:
To find the area of a circle with a given circumference, we first need to find the radius of the circle. The formula to calculate the circumference (C) is C = 2πr, where r is the radius and π (pi) is approximately 3.14159. For a circle with a circumference of 31.4 units, we can rearrange the formula to solve for the radius: r = C / (2π). Substituting the given circumference, we have r = 31.4 / (2×3.14) which simplifies to r = 5 units.
Now, we can find the area (A) of the circle using the formula A = πr². Substituting the calculated radius, the area becomes A = 3.14×5² which equals A = 3.14×25. Therefore, the area of the circle is A = 78.5 square units.
This calculation assumes the value of π (pi) is rounded to 3.14 for ease of calculation, which is typically 'close enough' for most estimation purposes.
Please Help 40 points for the answer. Construct a box plot to represent the ages of the actors in a play. Step 1: Arrange the numbers in order from lowest (on the left) to highest. 24 18 30 26 24 33 32 44 25 28
Answer:
Construct a box plot to represent the ages of the actors in a play. Step 1: Arrange the numbers in order from lowest (on the left) to highest. 24 18 30 26 24 33 32 44 25 28
Step-by-step explanation:
Actors Ages: 18, 24, 24, 25, 26, 28, 30, 32, 33, 44
Step 2: 18
Step 3: 44
Step 4: 27
Step 5: 24
Step 6: 32
Convert 13pi/18 to degrees
Answer:
130°
Step-by-step explanation:
to do this conversion, multiply 13π/18 by the conversion factor 180°/π rad:
13 · 180°
13π/18 · 180°/π rad = ------------- = 130°
18
Identify the slope and intercept of the following linear equation y=3/4x-2
The slope is [tex]\frac{3}{4}[/tex] and x-intercept is [tex]\frac{8}{3}[/tex] and y-intercept is -2 of the linear equation [tex]y=\frac{3}{4}x-2[/tex].
What is Slope intercept form ?Slope intercept form is one of the forms used to calculate the equation of a straight line.
i.e. y = mx + b
Here, m= slope and y = intercept ,
We have,
[tex]y=\frac{3}{4}x-2[/tex]
Now,
Compare the given equation with the slope intercept form,
i.e.
y = mx + b
[tex]y=\frac{3}{4}x-2[/tex],
So,
Slope [tex](m)=\frac{3}{4}[/tex],
Now,
To know, the x-intercept,
put y = 0,
i.e.
[tex]0=\frac{3}{4}x-2[/tex]
⇒[tex]\frac{3}{4}x=2[/tex]
We get,
[tex]x=\frac{8}{3}[/tex],
Now,
To know, the y-intercept,
put x = 0,
i.e.
[tex]y=\frac{3}{4}*0-2[/tex]
We get,
y = -2
Hence, we can say that the slope is [tex]\frac{3}{4}[/tex] and x-intercept is [tex]\frac{8}{3}[/tex] and y-intercept is -2 of the linear equation [tex]y=\frac{3}{4}x-2[/tex].
To know more about Slope intercept forms click here
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Final answer:
The slope of the equation y = 3/4x - 2 is 3/4, and the y-intercept is -2.
Explanation:
The linear equation given is y = 3/4x - 2. In this equation, the coefficient of x represents the slope and the constant term represents the y-intercept. Therefore, the slope of the line is 3/4 and the y-intercept is -2. The slope indicates that for each unit increase in x, y increases by 3/4, while the y-intercept tells us that when x is 0, the value of y is -2, indicating the point at which the line crosses the y-axis.
What is the area of parallelogram ABCD?
Answer:
15
Step-by-step explanation:
If f(x)=x^2 what is g(x)
Answer:
Step-by-step explanation:
If f(x)=x²
g(x) = (3x)²
because : g(0)=0 and g(1)= (3×1)² =3 passes through A(1;3) and O(0;0).
Answer: g(x) = 3x²
Step-by-step explanation:
Since we have given that
[tex]f(x)=x^2[/tex]
So, the function of g(x) would be
[tex]g(x)=ax^2[/tex]
since we have given that
(1,3) on g(x means (x,ax)
Here, x = 1.
So, ax = 3
which implies that a = 3.
So, g(x) would look like
[tex]g(x)=3x^2[/tex]
and the graph of g(x) is compressed.
Keshawn is asked to compare and contrast the domain and range for the two functions.
f(x) = 5x
g(x) = 5x
Answer:
Step-by-step explanation:
The domain and range of these two functions are identical.
The domain is "all real numbers."
The range is also "all real numbers."
Answer:
Domain of both given functions is the set of real numbers.
Range of both given functions is the set of real numbers.
Step-by-step explanation:
Given functions are
f(x)=5x
And g(x)= 5x
First, we solve for f(x)
F(x)=5x
Put x=0 then we get
f(x)=0
Now , put x=1 then we get
f(x)= [tex]5\times1=5[/tex]
Put x=2 then we get
f(x)=[tex]5\times2=10[/tex]
Therefore, we can see domain of function f(x) can be set of real numbers and range of function f(x) can be set of real numbers .Because the function is define at every value of x.
Both function are the same
Therefore , the domain of both function is same and range of both functions is same .
Hence, the domain of both functions is the set of real numbers and range of both functions is the set of real numbers.
Line m has a slope of 0. Line n is perpendicular to line m. What is the slope of line n?
A.
Line n has an undefined slope.
B.-1
C. 0
D. 1
The slope of a line perpendicular to another is the negative reciprocal of the other line.
In this case, the slope of this line is just 0. It'll be better to think of it as instead of 0, something like 0/1, or 0/2, which are equivalent to 0 but work better with the explanation. I'm just going to use 0/1
Therefore, when you take the negative reciprocal of the slope of 0/1, then you end up with -1/0 as the slope of line n. When you divide by 0, the answer is always undefined. Therefore, the line has an undefined slope.
Another way to think about this is by thinking of Line m as a horizontal line. A line with a slope of 0 is just a horizontal line. Perpendicular lines are lines that meet at 90 degree angles. Therefore, the line that would meet with line m, line n, would be a vertical line. And since vertical lines have an undefined slope, line n would have an undefined slope.
Hope this helped!
Assessment
(1 point)
-
9. What is the volume of the given prism? Round the answer to the nearest tenth of a cm.
12 4 cm
295.5 cm
451.7 cm
493.0 cm
0617.1 cm
The correct answer is D
A 4-digit PIN number is selected. What it the probability that there are no repeated digits?
The probability of selecting a 4-digit PIN number with no repeated digits is 0.504.
Explanation:The probability of selecting a 4-digit PIN number with no repeated digits can be calculated as follows:
For the first digit, there are 10 options (0-9).For the second digit, there are 9 options (since one has already been used).For the third digit, there are 8 options (since two have already been used).For the fourth digit, there are 7 options (since three have already been used).Therefore, the probability is equal to:
P = (10/10) * (9/10) * (8/10) * (7/10) = 0.504
Learn more about Probability here:https://brainly.com/question/32117953
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Number of sides of shape: 4
Number of degrees inside:
Answer:
360°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 4, hence
sum of interior angles = 180° × 2 = 360°
which graph represents a step function?
Answer:
#2
Step-by-step explanation:
Step functions are functions (meaning that the x-values do not match with a y-value more than once) that increase or decrease at the same time. #1 is another type of piecewise function, while #3 is a choice to fool you.
Hope I helped and please give me brainliest!
Answer:
2
Step-by-step explanation:
help me with this please
what do you mean 2<_ 10?
If x<_10,
a) 1,2,5,10
b) 4
c) 6
Answer:
see explanation
Step-by-step explanation:
Given x ∈ { 2, 3, 4, 5, 6, 7, 8, 9, 10 }
Factors of 10 are 1, 2, 5, 10, thus
P = { 2, 5, 10 } ← 1 is not a member of the universal set
and the number of elements in P , that is n(P) = 3
The complement of P is the elements not in P but in the universal set
P' = { 3, 4, 6,7,8,9 }
12(x-2)+3x=1/2(x+6)+2
You can use photo math that helps to
Answer: x=2 you have to simplify both sides and isolate the variable
Symmetry is an important component of photography. Photographers often use reflection in water to
create symmetry in photos. Which of the following types of symmetry are created from the above
photo? Select all that apply
a rotational
b horizontal
c vertical
d diagonal
e translational
Answer:
Horizontal
Explanation:
There are many types of symmetry presented at school time. Many of the symmetry we used during photo shop. The simple picture can be symmetrical by putting a mirror seeing an image in the mirror.
There has been seen half of the original image and half of the mirror reflection. It can be said that the original picture is symmetric with the help of the mirror. It is also called reflective symmetry.
The mirror symmetry also called a one-line symmetry. The horizontal line of symmetry cuts the picture in two left and right parts.