the price before taxes is:
[tex]350\cdot0.75\cdot0.8=210[/tex]$210 is the price before taxes
A tour bus is traveling at a constant speed. The relationship between it's time and distance is shown in the graph Which statement is correctA) The origin (0, 0) is the independent quantity and the time values are the dependent quantities.B) The time values are the independent quantities and the distance values are the dependent quantities.C) The distance values are the independent quantities and the time values are the dependent quantities.D) The rate of 50 miles per hour is the independent quantity and the distance values are the dependent quantities.
Jahna, this is the solution:
As you can see in the graph, the independent variable (Time) belongs on the x-axis and the dependent variable (Distance) belongs on the y-axis.
Therefore, the statement that is correct is:
B. The time values are the independent quantities and the distance values are the dependent quantities.
30 points helps What are the coordinates of each vertex if the figure is rotated 180° clockwise about the origin?[G.CO.2, G.CO.4, G.C0.5]
The coordinates of each of the vertices after the figure is rotated 180° clockwise about the origin: A' = (2, -2), B' = (-2, -5), C' = (-6, -3), D' = (-4, 3)
Explanation:
The first thing we do is to write the vertices of the original shape:
A = (-2, 2)
B = (2, 5)
C = (6, 3)
D = (4, -3)
A rotation of (x, y) 180° clockwise about the origin = (-x, -y)
We take the negative of the x and y coordinates of the original shape
180° clockwise about the origin becomes:
A' = (-(-2), -2) = (2, -2)
B' = (-2, -5)
C' = (-6, -3)
D' = (-4, -(-3)) = (-4, 3)
The coordinates of each of the vertices after the figure is rotated 180° clockwise about the origin: A' = (2, -2), B' = (-2, -5), C' = (-6, -3), D' = (-4, 3)
(c) In the diagram below:ARga nainP.50°B65%DNot drawn to scale(i) Calculate the angle BDC (ii) Calculate angle ABD (iii) Find angle BAD(iv) What type of triangle is triangle ABD ?CS
Given: Parallel lines PQ and RS. Triangle ABD and BDC are such that
[tex]\begin{gathered} BD=CD \\ m\angle ABR=50\degree \\ m\angle ADB=65\degree \end{gathered}[/tex]Required: To determine the triangle ABD type and calculate the angle BDC, ABD, and angle BAD.
Explanation: Since line PQ is parallel to line RS,
[tex]\angle ADB=\angle DBC=65\degree[/tex]Now since BD=CD, triangle BCD is an isosceles triangle. Hence,
[tex]\angle DBC=\angle DCB=65\degree[/tex]Now, in triangle BCD, we have
[tex]\begin{gathered} \angle B+\angle C+\angle D=180\degree\text{ \lparen Angle sum property\rparen} \\ 65\degree+65\degree+\angle D=180\degree \\ \angle D=50\degree \end{gathered}[/tex]Now RS is a straight line. Hence at point B, we have
[tex]\begin{gathered} 50\degree+\angle ABD+\angle DBC=180\degree\text{ \lparen Linear pair\rparen} \\ \angle ABD=65\degree \end{gathered}[/tex]Finally, in triangle ABD, we have
[tex]\begin{gathered} \angle A+\angle B+\angle D=180\degree \\ \angle A+65\degree+65\degree=180\degree \\ \angle A=50\degree \end{gathered}[/tex]Now since in triangle ABD, we have
[tex]\angle ABD=\angle ADB[/tex]The triangle ABD is isosceles.
Final Answer:
[tex]\begin{gathered} \angle BDC=50\degree \\ \angle ABD=65\degree \\ \angle BAD=50\degree \end{gathered}[/tex]The triangle ABD is isosceles.
the Firgure shows two triangles on a coordinate grid: Which set of transformations have been performed on triangle ABC to form triangle A'B'C'? A) Dilation by a scale factor of 1/3 followed by reflection about the x-axisB) Dilation by a scale factor of 3 followed by reflection about the x-axis C) Dilation by a scale factor of 1/3 followed by reflection about the y-axis D) Dilation by a scale factor of 3 followed by reflection about the y-axis
In transformations, the Pre-Image is the original figure and the Image is the figure transformated.
In this case you can identify that the Pre-Image is the triangle ABC and the Image is the triangle A'B'C'.
Notice that the vertices of ABC are:
[tex]A(-3,3);B(0,0);C(-6,-3)[/tex]By definition, when the scale factor used in the dilation is between 0 and 1, the Image obtained is a reduction and, therefore, it is smaller than the Pre-Image. Since A'B'C' is smaller than ABC, then you can determine that ABC was dilated by this scale factor:
[tex]sf=\frac{1}{3}[/tex]When a figure is reflected across the y-axis, the rule is:
[tex](x,y)\rightarrow\mleft(-x,y\mright)[/tex]If you dilate ABC by the scale factor shown above, and then you reflect it across the y-axis, the coordinates of the Image will be:
[tex]\begin{gathered} A\mleft(-3,3\mright)\rightarrow A^{\prime}(-(\frac{-3}{3}),\frac{3}{3})\rightarrow A^{\prime}(1,1) \\ \\ B\mleft(0,0\mright)\rightarrow B^{\prime}\mleft(0,0\mright) \\ \\ C\mleft(-6,-3\mright)\rightarrow C^{\prime}(-(\frac{-6}{3}),\frac{-3}{3})\rightarrow C^{\prime}(2,-1) \end{gathered}[/tex]Notice that the coordinates of A'B'C' shown in the picture match with the vertices found above.
Therefore, the answer is: Option C.
Write the equation of the line parallel to Y equals 2/3X +1 through the point (0,-4)  use slope intercept form
Writing the slope-intercept form of a linear equation, we have:
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept.
Since parallel lines have the same slope, we can see that the slope of the line y = 2/3x + 1 is equal m = 2/3, so for our equation we also have m = 2/3.
Now, using the point (0, -4), we have:
[tex]\begin{gathered} y=\frac{2}{3}x+b \\ (0,-4)\colon \\ -4=\frac{2}{3}\cdot0+b \\ b+0=-4 \\ b=-4 \end{gathered}[/tex]So our equation is:
[tex]y=\frac{2}{3}x-4[/tex]y = 2/3x - 4
Please help us in figuring out this math problem so that we can move onto the next one thank you very much
All numbers in scientific notation or standard form are written in the form
[tex]m\cdot10^n[/tex]where m is a number between 1 and 10 and the exponent n is a positive or negative integer.
To convert 64500 into scientific notation, follow these steps:
1. Move the decimal 4 times to left in the number so that the resulting number, m = 6.45, is greater than or equal to 1 but less than 10
2. Since we moved the decimal to the left the exponent n is positive
n = 4
3. Write in the scientific notation form, m × 10^n
= 6.45 × 10^4
The coordinates of the focus are (2,-7/4), the coordinates of the endpoints of the latus rectum are (3/2,-7/4) and (5/2,-7/4). The equation of the directions is y=-9/4, and the equation of the axis of symmetry is x=2.
General equation of a parabola:
[tex](x-h)^2=4p(y-k)[/tex]Equation of the axis of symmetry:
x = h
In this case, the axis of symmetry is x = 2, then h = 2.
Equation of the directrix:
y = k - p
In this case, the equation of the directrix is y = -9/4, then:
-9/4 = k - p (eq. 1)
Equation of the focus:
F(h, k+p)
In this case, the coordinates of the focus are (2,-7/4), then:
-7/4 = k + p (eq. 2)
Adding equation 1 to equation 2:
-9/4 = k - p
+
-7/4 = k + p
--------------------
-4 = 2k
(-4)/2 = k
-2 = k
Substituting this result into equation 2 and solving for p:
-7/4 = -2 + p
-7/4 + 2 = p
1/4 = p
Substituting with h = 2, k = -2, and p = 1/4 into the general equation, we get:
[tex]\begin{gathered} (x-2)^2=4\cdot\frac{1}{4}(y-(-2)) \\ (x-2)^2=y+2 \end{gathered}[/tex]
Hello, I am having trouble with this problem. Thank you so much.
ANSWERS
• Graph:
• Interval notation: ,[-4, ∞)
EXPLANATION
The set is all x greater than or equal to -4. The value -4 is included in the interval, so we have to draw a dot and then a line from the dot to infinity.
When a value is included in the interval, we use the start or end bracket. For infinity or negative infinity, we always use parenthesis. To represent this set in interval notation we have to use a bracket, number -4, a comma, infinity, and a parenthesis: [-4, ∞)
ginny is raising pumpkins to enter a contest to see who can grow the heaviest pumpkin. her best pumpkin weighs 22 pounds and is growing at the rate of 2.5 pounds per week. martha planted her pumpkins late. her best pumpkin weighs 10 pounds but she expects it grow 4 pounds per week. define the "let" statements for x and y. then write equations that represent the weight of ginny and martha's pumpkins.Let x=Let y=ginny's equations=Martha's equation:
Let x=
1) Gathering the data
Ginny
Best pumpkin: 22 pounds
The growing rate of 2.5 pounds per week
Martha
Best pumpkin: 10 pounds
The growing rate: 4 pounds per week
Let x for the growing rate and y for the weight
2) Setting equations
Ginny's equation
2.5x=22
Martha's equation:
4x=10
Error Analysis Denzel identified (3, 2) as a point on the line y - 2 = 2/3 (x + 3). What is the error that Denzel made?
Slope point formula:
y-y1= m (x-x1)
Where:
m= slope
(y1,x1) = point of the line
For:
y - 2 = 2/3 (x + 3)
m= 2/3
y1= 2
x1= -3
The error is that the point is not (3,2) is (-3,2)
y-2 = 2/3 (x-(-3))
y-2 = 2/3 (x+3)
The following is a sample of 20 measurements.Answer b part
b)
Given:
[tex]\begin{gathered} \bar{x}=10.2 \\ s=2.12 \end{gathered}[/tex]Hence,
[tex]\begin{gathered} \bar{x}\pm s=10.2\pm2.12 \\ \bar{x}+s=12.32 \\ \bar{x}-s=8.08 \end{gathered}[/tex]So, the measurements in the data between 8.08 and 12.32 are 11, 9, 12, 10 12, 12 , 12, 9, 9, 9, 11, 11, 12 and 11.
Therefore, the number of measurements in interval x±s is 14.
The percentage of the measurements that fall between the interval x±s is,
[tex]\text{Percent}=\frac{14}{20}\times100=70[/tex]Therefore, the percentage of the measurements that fall between the interval x±s is 70%.
Now,
[tex]\begin{gathered} \bar{x}\pm2s=10.2\pm2\times2.12 \\ \bar{x}\pm2s=10.2\pm4.24 \\ \bar{x}+2s=14.44 \\ \bar{x}-2s=5.96 \end{gathered}[/tex]So, all the measurements in the data are between 5.96 and 14.44.Therefore, the number of measurements in interval x±2s is 20.
Therefore, the percentage of the measurements that fall between the interval x±2s is 100%.
Now,
[tex]\begin{gathered} \bar{x}\pm3s=10.2\pm3\times2.12 \\ \bar{x}\pm3s=10.2\pm6.36 \\ \bar{x}+3s=16.56 \\ \bar{x}-3s=3.84 \end{gathered}[/tex]So, all the measurements in the data are between 3.84 and 16.56.Therefore, the number of measurements in interval x±3s is 20.
Therefore, the percentage of the measurements that fall between the interval x±3s is 100%.
Last part: compare the percentage .
According to empirical rule, approximately 68% of the measurements in a sample will fall within the interval x±s.
From part b, the obtained percentage of measurements that fall within the interval x±s is 70%.
Therefore, percentage of measurements that fall within the interval x±s is greater than the predicted percentage for x±s using the empirical rule.
Option C is correct.
Bring the standard form of the equation of the line through the pair of points (5,2) and (5,-7)
The equation is
x = 5
Explanation:The equation of a line is given as:
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept.
Given the points (5, 2) and (5, -7)
The slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-7-2}{5-5}=-\frac{9}{0}=\infty[/tex]The slope is infinite, then the equation is:
[tex]x=5[/tex]Hello I need help with this here please, I was studying but I can’t get this
ANSWER
B. False
EXPLANATION
The Pythagorean Theorem states that the sum of the squares of the two legs of a right triangle, a and b, is equal to the square of the hypotenuse, c:
[tex]c^2=a^2+b^2[/tex]And this theorem is true for all right triangles.
Hence, this statement is false.
What is the center and the radius of the circle: ( x + 7 ) 2 + ( y - 1 ) 2 = 9 ?
Given:
There is a equation of circle given in the question as below
[tex]\left(x+7\right)^2+(y-1)^2=9[/tex]Required:
We want to find the center and radius of given circle
Explanation:
The general equation of circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]where (h,k) is the center of circle and r be the radius of circle
Now by comparing we get
[tex]\begin{gathered} (h,k)=(-7,1) \\ r^2=9\Rightarrow r=3 \end{gathered}[/tex]Final answer:
C
Solve the inequality, then select the graph that matches the solution.x +5 ≥ 5
Answer:
Explanation:
Given the inequality:
[tex]x+5\geqslant5[/tex]Subtract 5 from both sides of the inequality.
[tex]\begin{gathered} x+5-5\geq5-5 \\ x+0\geq0 \\ x\geq0 \end{gathered}[/tex](a)The solution to the inequality is x ≥ 0.
(b)Since the inequality sign is "greater than or equal to", the circle at 0must be shaded and the arrow pointing towards the right.
The correct graph is attached below:
The second and third options are correct.
Will a truck that is 14 feet wide carrying a load that reaches 12 feet above the ground clear the semielliptical arch on the one-way road that passes under the bridge shown in the figure on the right?
Given the equation of an elipse
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]from the question,
[tex]\begin{gathered} \text{major axis}\Rightarrow2a \\ \therefore2a=52 \\ a=\frac{52}{2}=26ft \\ b=13ft \end{gathered}[/tex]Given that
[tex]x=14ft[/tex]Substitute, for a,b, and x in the elipse formula to find y
[tex]\begin{gathered} \frac{14^2}{26^2}+\frac{y^2}{13^2}=1 \\ \frac{196}{676}+\frac{y^2}{169}=1 \end{gathered}[/tex]Multiply through by 169
[tex]\begin{gathered} 49+y^2=169 \\ y^2=169-49 \\ y^2=120 \\ y=\sqrt[]{120}=10.95ft \end{gathered}[/tex]Hence, it clear the arch because the height of the archway of the bridge 7 feet from the center is approximatelyfeet
All of the following are equivalent exceptO (4)(y)O 4+ y04.1O 4 yASK FOR HELPUNT QUESTION
Find anangle 0 coterminal to -560°, where 0° < 0 < 360°.
Given the angle -560
The coterminal angle will be:
[tex]\theta=-560+360=-200+360=160[/tex]So, the answer will be 160
It is 6 miles in a kayak to the Fish Islands from my house. The trip to the island takes 2 hourstraveling against the current and 1¼ hours for the return trip (with the current). How fast can Ipaddle the Kayak if there was no current? The answer can be rounded to the nearest tenth.Solve Algebraically using linear systems
It is given that the distance is 6 miles and the time is 2 hours upstream and one and a quarter hour downstream.
The time downstream is given by:
[tex]1\frac{1}{4}=\frac{4+1}{4}=\frac{5}{4}\text{ hours}[/tex]Since the distance is constant, it follows:
[tex]\begin{gathered} \text{ Speed=}\frac{\text{ Distance}}{\text{ Time}} \\ \text{ Distance=SpeedxTime} \end{gathered}[/tex]So the distance is constant hence:
[tex]\text{ Distance upstream=Distance Downstream}[/tex]Let the speed of kayak be x and speed of current be y so the speed downstream is x+y and speed upstream is x-y so it follows:
[tex]\begin{gathered} \frac{5}{4}(x+y)=2(x-y) \\ 4\times\frac{5}{4}(x+y)=4\times2(x-y) \\ 5x+5y=8(x-y) \\ 5x+5y=8x-8y \\ 5y+8y=8x-5x \\ 13y=3x \\ x=\frac{13}{3}y \end{gathered}[/tex]Use the individual equation to find x and y as follows:
[tex]\begin{gathered} 6=2(x-y) \\ 6=2(\frac{13}{3}y-y) \\ 3=\frac{13-3}{3}y \\ \frac{9}{10}=y \end{gathered}[/tex]Hence the speed of the water current is 9/10 miles per hour.
The speed of the kayak is given by:
[tex]\begin{gathered} x=\frac{13}{3}y \\ x=\frac{13}{3}\times\frac{9}{10} \\ x=\frac{39}{10}=3.9\text{ miles per hour} \end{gathered}[/tex]Hence the speed of the kayak without the water current is 3.9 miles per hour.
The time required without water current is:
[tex]\begin{gathered} \text{Time}=\frac{Dis\tan ce}{Speed} \\ t=\frac{6}{3.9}\approx1.5\text{ hours} \end{gathered}[/tex]Hence it will take approximately 1.5 hours without the current.
Can you please help me out with a question
Answer:
3 degrees
Explanation:
Using the theorem that states that the measure of the angle at the circumference is equal to the half of its intercepted arc. Hence;
31x+ 3 = 1/2(192)
31x + 3 = 96
Subtract 3 from both sides
31x + 3 - 3 = 96 - 3
31x = 93
Divide both sides by 31
31x/31 = 93/31
x = 3
Hence the value of x is 3 degrees
Round 14.235 to the nearest tenth, hundredth, one and ten
The number 14.235 would round down to 14.2
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
We need to round 14.235 to the nearest tenth, hundredth, one and ten
We can see that the 35 is below 50 so it goes down, and it rounds down to 14.2 instead of, 14.62 then that would round up to the decimal is higher than 50.
Since it is 235, then it rounds down to 14.2
Learn more about rounding numbers here:
https://brainly.com/question/1285054
#SPJ1
i would like help understanding this form of math please.
Question:
Solution:
If we have the formula:
[tex]\text{Height = }\frac{Cons\tan t}{\text{Width}}[/tex]I don't understand how to add and subtract Intregers
Explanation
First of, you should know that integers are whole numbers.
There are positive integers (positive whole numbers, that is, normal whole numbers greater than 0, for example, 7, 98, 14 etc.) and there are negative integers (negative whole numbers, that is, whole numbers less than 0, for example, -3, -37, -101 etc.)
So, the first tip about adding and subtracting these numbers is to look at them in monetary terms.
Always look at positive numbers like money you have in your pockets (cash at hand).
And look at negative numbers like money you're owing someone.
So, we can then go through the different types of addition and subtraction of integers now.
- Addition of two positive numbers
** 2 + 2
You can interprete this simple addition as having $2 and another $2 is given to you, this means you've got $4 now.
2 + 2 = 4
** 17 + 7
You can interprete this simple addition as having $17 and another $7 is given to you, this means you've got $24 now.
17 + 7 = 24
- Subtraction of two positive integers
** 7 - 3
Look at this like having $7, then -3 means $3 is taken away from it, then you've got only $4 left.
7 - 3 = 4
** -15 + 10
This means you're owing $15, and you've got only $10, after paying the $10, there's still a debt of $5 left. So,
-15 + 10 = -5
Before the next two further types of adding/subtracting integers, weneed to also note the following
(+) × (+) = (+)
(+) × (-) = (-)
(-) × (+) = (-)
(-) × (-) = (+)
These helps us to simplify these additions and subtractions that involve a mix of positve numbers and negative numbers or just strictly working with negative numbers.
Addition of two negative numbers
** -5 + (-3)
Normally, with the former approach, this just means a debt of $5 is added to a debt of $3, these come together to give a bigger debt of $8.
But we can simplify the given equation further because we know that
(+) × (-) = (-), So,
-5 + (-3) = -5 - 3 (The plus sign before the -3 and the minus sign in the bracket multiply to give a negative/minus sign).
So,
-5 + (-3) = -5 -3 = -8
** -7 + (-4)
-7 + (-4) = -7 - 4 = -11
Subtraction of two negative integers
** -5 - (-5)
Recall that
(-) × (-) = (+), So,
-5 - (-5) = -5 + 5
Which then translates to owing $
find the sum of the first ten terms of an arithmetic series if the first term is 3 and the last term is 39a. 190b.210c.230d.275
Given the first term is 3 and the last term is 39.
Recall that the sum is given as:
[tex]S_n=\frac{n}{2}(a_1+a_n)[/tex]Substituting in the above equation gives:
[tex]\begin{gathered} S_n=\frac{10}{2}(3+39) \\ S_n=5(42) \\ S_n=210 \end{gathered}[/tex]Therefore, option (a) is correct.
I'm having trouble figuring out this problem. Problem: Using the formula below, solve when s = 2.50. A = 6s²
Given the formula:
[tex]A=6s^2[/tex]Let's solve for A when the value of s is = 2.50
To solve the equation, substitute 2.50 for s and evaluate.
Thus, we have:
[tex]\begin{gathered} A=6(2.50)^2 \\ \end{gathered}[/tex]Solving further:
[tex]\begin{gathered} A=6(2.50\ast2.50) \\ \\ A=6(6.25)^{} \\ \\ A=6\ast6.25 \\ \\ A=37.5 \end{gathered}[/tex]Therefore, when the value of s is 2.50, the value of A is 37.5
ANSWER:
37.5
In ΔTUV, t = 82 inches, v = 86 inches and ∠V=41°. Find all possible values of ∠T, to the nearest degree.
The value of ∠T is 38.722° as the definition of angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint".
What is angle?An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint. When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates. Based on measurement, there are different kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by joining two rays at their termini. In most cases, an angle is expressed in degrees.
Here,
Side t = 82
Side u = 128.98238
Side v = 86
Angle ∠T = 38.722°
Angle ∠U = 100.278°
Angle ∠V = 41°
∠T = sin⁻¹(t·sin(V)/v)
=38.722°
Since the definition of an angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint," the value of ∠T is 38.722°.
To know more about angles,
https://brainly.com/question/28451077?referrer=searchResults
#SPJ1
Devonte creates a scatter plot of the relationship between his hourly pay in dollars, y, and the number of customers he serves at a coffee shop, X. He calculates the equation of the trend line to be y = 2.52 +7. Part A What does the y-intercept represent? Enter the correct answers in the boxes. per hour when he serves customers. The y-intercept represents that Devonte earns $
Given equation of line is,
find the values of x and y
From the given figure
Since every two opposite sides are parallel
AB // DC
AD // BC
Then the given quadrilateral is a parallelogram
ABCD is a parallelogram
From the properties of the parallelogram,
Every 2 opposite sides are equal in length, then
AB = DC
AB = x + 2, and DC = 13, then
x + 2 = 13
Subtract 2 from both sides to find x
x + 2 - 2 = 13 - 2
x = 11
Since the opposite angles in the parallelogram are equal in measures
Since
m
Since m
y = 70
The value of x is 11 and the value of y is 70
2.3= p + 0.6What does p equal?
The given equation is
[tex]2.3=p+0.6[/tex]First, we subtract 0.6 on each side
[tex]\begin{gathered} 2.3-0.6=p+0.6-0.6 \\ 1.7=p \end{gathered}[/tex]Therefore, p is equal to 1.7.The length of the rectangle below is 7 than it’s width. Given that the total distance around the rim of the shape is 46 units, what is the value of x?