Elizabeth's speed increased during the 0 to 5 minute interval
This interval shown on the graph is indicated by the rising line on the vertical axis (y-axis).
The x-axis shows the time intervals graded in 5-minute intervals. the other options shows a flat line (no change in speed) and a downward line (reduction in speed).
The 0 to 5 minute period of her run however is a rising line which means incresing speed.
x²+2x for x=-3 i just need help on this math assingment
Answer:
-33
Step-by-step explanation:
We know that x = -3
So,
-3² + 2 x -3
9 + 2 x -3
11 x -3
-33
Which equation can be used to find the value of x in the right triangle shown?
A cos 20 = 12/x
B. 20° = 12
C. 20° = 12
D. 70° = /12
By using a trigonometric equation, we can see that the correct option is the first one:
cos(20°) = 12/x
Which equation can be used to find the value of x?
We have a right triangle where x is the hypotenuse, we know that one angle measures 20° and the adjacent cathetus to that angle measures 12 units.
Then we can use the trigonometric relation:
cos(a) = (adjacent cathetus)/(hypotenuse)
Replacing what we know:
cos(20°) = 12/x
This is the equation in the first option, so that is the correct one.
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evaluate each inverse trig expression below. include a diagram of a unit circle justifying your solution.
The given expression :
Use the drawing tools to form the correct answer on the graph.
These equations represent functions p and q:
p(x)=2x+3
q(x)=1/2x-2
The graph of (p − q)(x) is shown.
Plot a point at the ordered pair that represents (p − q)(2) on the graph of the combined function.
Answer:
The point should be plotted at (5, -1).
Step-by-step explanation:
Reduce the rational expression to lowest terms.cd — c+d —1/ cd +c+d+1=
we have the expression
[tex]\frac{cd-c+d-1}{cd+c+d+1}[/tex]Group terms
[tex]\frac{(cd+d)+(-c-1)}{(cd+d)+(c+1)}[/tex][tex]\frac{d(c+1)-(c+1)}{d(c+1)+(c+1)}[/tex]factor (c+1)
[tex]\frac{(c+1)(d-1)}{(c+1)(d+1)}[/tex]Simplify
[tex]\frac{(d-1)}{(d+1)}[/tex]Please help! I need explanation on why the answer is what it is.
I can’t understand slope and graphs :(
The slope (m) that passes through the given points (4, 3) and (6, 7) is (B) 2.
What is the slope?The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on a straight line, a slope can be determined using a variety of approaches. A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run" (change in y divided by change in x).So, the slope will be:
Points are: (4, 3) and (6, 7)Slope formula: m = y2 - y1/x2 - x1Now, calculate as follows:
m = y2 - y1/x2 - x1m = 7 - 3/6 - 4m = 4/2m = 2Therefore, the slope (m) that passes through the given points (4, 3) and (6, 7) is (B) 2.
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Find the slope intercept of the line that passes through 0,-5 and has a slip of -1/2
The slope intercept of line with point (0,-5) and slope=-1/2 will be x+2y=-10 as the definition of slope intercept form is "The meaning of SLOPE-INTERCEPT FORM is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept."
What is slope intercept form of line?Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are immediately visible. This form is frequently known as the y = mx + b form. Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.
Here,
Slope intercept form of line,
y=mx+ b
(x, y)=(0,-5)
m=-1/2
-5=-1/2*0+b
b=-5
y=mx+b
y=-1/2x+5
2y+x=-10
Since the definition of slope intercept form is "The meaning of SLOPE-INTERCEPT FORM is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept," the slope intercept of a line with point (0,-5) and slope=-1/2 will be x+2y=-10.
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Line segment tv bisects angle stu. the measurement of angle stv is equal to (1/4x+8) degrees and the measurement of angle utv is (x+2) degrees. find the measurement of angle stu
The measurement of ∠STU is 20°.
Define Angle
When two rays are connected at their endpoints, they form an angle in geometry. We refer to these rays as the angle's sides or arms.
Components of an Angle
An angle is composed of the arms and the vertex as its two basic components:
The arms of the angle: The arms of the angle are the two rays that combine to form it at a common point.Point of the angle: The two rays share a vertex as a common terminus.Given, ∠STU = [tex](\frac {1}{4} x+8)[/tex]°
∠UTV = x+2°
Given, that the line TV bisects ∠STU,
∠STV = ∠UTV
Substitute their values,
[tex](\frac {1}{4} x+8)[/tex]° = x+2°
Calculating,
[tex]\frac{1}{4}x-x[/tex] = 2-8
[tex]-\frac{3}{4}x[/tex] = -6
x = [tex]-6*(-\frac{4}{3})[/tex]
x = 8
So, we know that:
∠STU = ∠STV + ∠UTV
= [tex](\frac {1}{4} x+8)[/tex]° +( x+2°)
= [tex](\frac {5}{4} x+10)[/tex]
Now, substitute the value of x,
∠STU = [tex](\frac {5}{4} )*8[/tex]°+10°
= 10° + 10°
= 20°
Therefore, the measure of ∠STU is 20°.
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Which function has a greater slope? Function 1 Function 2 or both
Answer:
Function 2!
Step-by-step explanation:
the slope is longer
5 YEARS AGO, IT
COST $500/MONTH TO
RENT AN APARTMENT.
TODAY, THAT
COST IS $850.
Answer:
$70 per year
Step-by-step explanation:
Answer: can you please give me answer choices
Step-by-step explanation:
10) Chris invested $5,500. The investment had a simple interest rate of 3.5%. If he plans to leave the
investment alone for 12 years, how much will he have total in the account at the end of the 12 years?
Chris will have $7810 at the end of 12 years in his account if the simple interest rate is 3.5%.
According to the question,
We have the following information:
Chris invested $5,500. The investment had a simple interest rate of 3.5%. And he plans to leave the investment alone for 12 years.
Now, we know that the following formula is used to find the simple interest on an investment:
Interest = principal*rate*time/100
Principal = $5500
Rate = 3.5
Time = 12 years
Interest = (5500*3.5*12)/100
Interest = $2310
Now, the total amount in his account will be:
5500+2310
$7810
Hence, Chris will have $7810 at the end of 12 years in his account if the simple interest rate is 3.5%.
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Which function is best represented by this graph?
Responses
A y = -3x + 2y = -3 x + 2
B y = 2x + 3y = 2 x + 3
C y = -2x + 3y = -2 x + 3
D y = 3x + 2y = 3 x + 2
The equation of the line will be y = 2x + 3. Then the correct option is B.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
From the graph, two points are taken as (0, 3) and (1, 5). Then the equation of the line is given as,
(y - 3) = [(5 - 3) / (1 - 0)](x - 0)
Simplify the equation, then we have
y - 3 = 2x
y = 2x + 3
The equation of the line will be y = 2x + 3. Then the correct option is B.
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Answer:
c
Step-by-step explanation:
In the diagram of ABCD shown below, BA is drawn from vertex B to point A on DC, such that BC & BA.DAСa.In AABD, mZD = 30° and mZDAB = 120°. Find the measure of all angles.b.What kind of triangle is AABD? Explain.hat kind of triangle is ADBC? Explain.
We have that BC = BA and m
We will have that the angle DAB and BAC are supplementary, therefore:
DAB + BAC = 180°
And replecing the value of DAB, we will get:
120 + BAC = 180 => BAC = 60.
By theorem the angles that oppose equal sides are equal, therefore: ACB = 60.
From this, we will also get that ABC = 60.
And B = 90.
Triangle ABD will be a scalene triangle.
Triangle DBC will be a rectangle triangle.
Below are the data collected from two random samples of 500 American adults on the number of hours they spend doing leisure and sports activities per day (rounded to the nearest hour):Number of hours spent doing leisure and sports activities per day 1 2 3 4 5Sample A: Number of adults 70 90 135 140 65Sample B: Number of adults 80 80 130 135 75Dan concludes that adults spend a mean of 3 hours each day doing leisure and sports activities. Bret thinks the mean is 4 hours. Who is correct—Dan or Bret? Explain your answer in two or three sentences.
Dan is correct, because if you spend a mean of 3 hours each day doing leisure and sports activities, you have to add people that spend 4 and 5 Hours and verify that addition will be more than 51% of 500 people (250) and it its the case, adding 340 for both samples.
what is 4.4.4 as an exponent
Answer:
4*4*4=4^3
Step-by-step explanation:
4 is multiplied by itself 3 times so it's to the third power which equals [tex]4^{3}[/tex]
Please help BRAINLIST!
By the property of congruency of triangles, the following conclusions are taken from the figure
Second, third and fifth options are correct
First and fourth option are wrong.
What is congruency of triangles?
Two triangles are said to be congruent if their corrosponding sides and corrosponding angles are same.
There are five axioms of congruency
They are SSS axiom, ASA axiom, AAS axiom, SAS axiom, RHS axiom
Here,
From the second option,
AB = DE [Given]
[tex]\angle ABC = \angle CED[/tex] [ Given]
BC = CE [Given]
So, [tex]\Delta ABC \cong \Delta CED[/tex] [SAS axiom]
Second option is correct
For the third and fifth option
[tex]\angle ABC = \angle CED[/tex] [ Given]
BC = CE [Given]
[tex]\angle BCA = \angle DCE[/tex] [ Vertically opposite angle]
So, [tex]\Delta ABC \cong \Delta CED[/tex] [ASA axiom]
Third and fifth option are correct
Second, third and fifth options are correct
For first and fourth option,
There is no axiom like side- side and Angle - side-side in congruency
First and fourth option are wrong.
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Find the sale price to the nearest cent. $150 suit; 20% discount
Answer:
Price after discount: $120.00
You saved: $30.00
Step-by-step explanation:
Answer:
$120
Step-by-step explanation:
150*20%
150*20/100
150*1/5
30
150-30=120
write the number in scientific notation0.000471
Given the number :
[tex]0.000471[/tex]The scientific notation is a method to the write the numbers as two parts
The first part is the number as between 1 and 9
the second part as 10 to powers
so,
[tex]0.000471=\frac{471}{100000}=\frac{471}{10}\cdot\frac{1}{10000}=4.71\cdot10^{-4}[/tex]
The Metzgers want to seed theirbackyard. The seed they selectcovers 375 m² per box. Howmany boxes of seed will theyneed to buy? Use the yarddiagram. Round any portionof a box to the next box?
In order to find how many boxed they need, first they need to know the area they will have to cover:
In order to find it, we have find the total area of the rectangle and take off the area of the House and the area of the shed:
We know that all those areas are rectangles, their area are found multiplying their sides lenght:
House area = 5m x 16m = 80m²
Shed area = 3m x 3m = 9m²
Since the lateral side of the total area is
5m + 16m + 5m = 26m, then
Total area = 26m x 50m = 1300m²
Then, the area they need to cover is
total area - house area - shed area = 1300m² - 9m² - 80m²
= 1211m²
Since the seed they select covers 375 m² per box, in order to find how many boxes they need, we just need to divide the area they are going to cover with this number:
1211m² ÷ 375 m² = 3.229
We round it to 4 boxes as indicated.
Answer: they need to buy 4 boxes of seeds
find the perimeter of a polygon with 7 in by 4 in
The polygon given is a rectangle, we can find the perimeter quite quickly.
The perimeter of a rectangle is;
[tex]\begin{gathered} P=2(L+B) \\ L=length,B=breadth \end{gathered}[/tex]Here, L=7in and B = 4in , so;
[tex]\begin{gathered} P=2(7+4) \\ P=2(11) \\ P=22in \end{gathered}[/tex]Therefore, t
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
The point (8,-15) is on the terminal side of an angle 0. What is sin 0
The value of sinθ is -15/17
From the question, we have
the point (8, -15) is on the terminal side of an angle [tex]\theta[/tex].
the point (8, -15) lies in the fourth quadrant
Using Pythagoras theorem,
hypotenuse = √(8² + 15²) = 17
Sine ratio is the ratio of perpendicular side to hypotenuse side.
sinθ = -15/17
Addition:
The act of combining two or more items is known as addition. The process of computing the sum of two or more numbers in mathematics is called addition. It is a fundamental mathematical procedure that is frequently used in daily life. When we work with money, figure out our food bills, or figure out the time, we frequently employ addition. One-digit numbers can be added simply for solving addition problems, however for bigger numbers, we divide the numbers into columns using their corresponding place values, such as ones, tens, hundreds, thousands, and so on.
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Russell is eating at a restaurant. His total bill comes to $44.85. If Russell decides to leave a tip that is approximately 20% of the total bill, how much should he leave for the tip?
Answer:
around $9.0
Step-by-step explanation:
10% of 44 is 4.4 so if you multiply 4.4 by 2 that would be the same a 20% and 4.4 times 2 is $8.80 then I just rounded up to $9
This is not a test , please help me !
Step 1: Write out the function
[tex]f(x)=3^x[/tex]Step 2: Evaluate the functions at x=1,3,4 and 6
[tex]\begin{gathered} f(1)=3^1 \\ f(3)=3^3 \\ f(4)=3^4 \\ f(6)=3^6 \end{gathered}[/tex]Step 3: Compute f(6)/f(4)
[tex]\frac{f(6)}{f(4)}=\frac{3^6}{3^4}=3^{6-4}=3^2[/tex]Step 4: Compute f(3)/f(1)
[tex]\frac{f(3)}{f(1)}=\frac{3^3}{3^1}=3^{3-1}=3^2[/tex]Step 5: Compare f(6)/f(4) and f(3)/f(1)
[tex]\frac{f(6)}{f(4)}=3^2[/tex][tex]\frac{f(3)}{f(1)}=3^2[/tex]Therefore,
[tex]\frac{f(6)}{f(4)}=^{}\frac{f(6)}{f(4)}[/tex]Tickets for an adult cost 4 times more than a child. If they one adult and one child got a ticket and paid $20 for tickets total how much was each ticket.
this is a similar problem to the one on my test and i need to know the step on how to do it.
Answer:
One adult ticket is $16, and one child ticket is $4
Step-by-step explanation:
Let A be the price for an adult ticket
Let C be the price for a child ticket
First write out the equations based on the given information
A = 4C
A + C = 20
Since we know that A is the same as 4C, you can sub in 4C into A + C = 20
4C + C = 20
5C = 20
C = 4
You can now sub in C = 4 into A + C = 20
A + 4 = 20
A = 16
Therefore, an adult ticket costs $16, and one child ticket is $4
Jenna has 6 packs of pencils. to find the answer to how many pencils she has to write
6x7 =(3x7) + ( 6) x7)
6x7 = ..........+ _________-
6x7 = 42
If Jenna has 6 packs of 7 pencils. to find the answer to how many pencils she has to add 7 + 7 + 7 + 7 + 7 + 7
how to write the number of pencil in another form6 stacks of 7 pencils means that each stack contains 7 pencils
since there are 6 stacks then adding each stack will give
7 + 7 + 7 + 7 + 7 + 7
= 2( 7 + 7 +7 )
= 2 * ( 3 * 7 )
= 6 * 7
42
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Translation along vector (-3, 1
Rotation 360 degrees about the origin
Rotation 270 degrees counterclockwise about the origin
Translation along (-3 , 1) is J' = (-1 , -4) , K' = (-4 , -2) and L' = (-7 , 2).
Rotation of 360° about the origin is J' = (2 , -5) , K' = (-1 , -3) and L' = (-4 , 5).
Rotation of 270° counterclockwise about the origin is J' = (-5 , -2) , K' = (-3 , 1) and L' = (5 , 4).
Given, the points
J(2 , -5) , K(-1 , -3) and L(-4 , 5)
(a) Now, Translation along the vector (-3 , 1) is
J' = (2 - 3 , -5 + 1) = (-1 , -4)
K' = (-1 - 3 , -3 + 1) = (-4 , -2)
L' = (-4 - 3 , 1 + 1) = (-7 , 2)
(b) Now, Rotation of 360° about the origin is
J' = (2 , -5)
K' = (-1 , -3)
L' = (-4 , 5)
(c) Now, Rotation of 270° counterclockwise about the origin is
J' = (-5 , -2)
K' = (-3 , 1)
L' = (5 , 4)
Hence, translation along (-3 , 1) is J' = (-1 , -4) , K' = (-4 , -2) and L' = (-7 , 2).
Rotation of 360° about the origin is J' = (2 , -5) , K' = (-1 , -3) and L' = (-4 , 5).
Rotation of 270° counterclockwise about the origin is J' = (-5 , -2) , K' = (-3 , 1) and L' = (5 , 4).
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Let g(y)= - y2 +9y + 10. Find g(-2).
To find g(-2)
We will have to replace y in the function with -2
[tex]g(-2)=-(-2)^2\text{ + 9(-2) + 10}[/tex]g(-2) = - 1x 4 + 9 x -2 + 10
g(-2) = -4 -18 + 10
g(-2) = -22 + 10
g(-2) = -12
Answer:
Step-by-step explanation:
g(y) = -y^2 + 9y +10
g(-2) = (-2)^2 + 9(-2) +10
g(-2) = 4 - 18 + 10
g(-2) = -4
Based on this prediction how many healthcare workers total will be employed in 2018? Note that the 2008 employment figures in this are in thousands
1) Considering the table and the data, we can see that there was a positive 40% percent change in the table, for the Healthcare workers altogether
2) So we can write out the following:
[tex]18,237\times(1.4)=25531.8[/tex]Notice that to find the final result, we add 0.4 +1 and then multiply by 18237.
Note that there was an increase from 2008 and 2018, and since we can only work with whole numbers for people, we need to round it up to the nearest whole number. Thus, in 2018 there will be 25532 workers
Write the equation of a sine function given the following key features:
Key Features
Amplitude: 3
Period: 3pi
Phase Shift: pi/8
Vertical Shift: -2
The equation of a sine function given in accordance with the given specifications is y = 3sin[(2/3)x + π/8) - 2.
What are trigonometric functions?The trigonometric functions (also called circular functions, angle functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Given is the following specifications for a sine wave -
Amplitude: 3
Period: 3π
Phase Shift: π/8
Vertical Shift: -2
The general equation for sine wave is -
y = A sin(ωx + Ф) + k
Now, we know -
ω = 2π/T
ω = 2π/3π
ω = 2/3
And -
A = 3
Ф = π/8
k = - 2
y = 3sin[(2/3)x + π/8) - 2
Therefore, the equation of a sine function given in accordance with the given specifications is y = 3sin[(2/3)x + π/8) - 2.
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