Consider the following graph.
Which statement best describes Cheryl's commute?
A. Cheryl accelerated to 65 mph, made a stop for 5.5 minutes, and then decelerated to 45 mph.
B. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and the decelerated to 45 mph.
C. Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.
D. Cheryl drove at a speed of 65 mph for 1 minute, made a stop for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes
Answers
Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.Option C is correct.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
Cheryl traveled at a steady pace for 5.5 minutes, then 45 mph for 2.5 minutes after traveling at 65 mph for a minute.
Statement C best describes Cheryl's commute.
Hence option C is correct.
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Related Questions
Simplify the expression below using the order of operations. 10+(6-3) 22-4-1 Simplify the expression below using the order of operations . 10+ ( 6-3 ) 22-4-1
Answers
The expression is 17.
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Given:
10+(6-3) 22-4-1
Using the BODMAS rule,
First solve the bracket term
10+ 3 * 22 -4-1
Now, perform multiplication
10+66-4-1
Now, subtraction
10+66-5
=10+61
And lastly addition
=71.
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Answer:
17
Step-by-step explanation:
the answer is 17 :)
Joanne has a pile of nickels and a pile of dimes. She counts her money and discovers that she has 30 nickels and 10 dimes. Let x represent the number of nickels and y represent the number of dimes. (HINT: Use the values of the coins.) How much money does Joanne have in total?
Total Amount: $_____
Answers
$2.50
Step-by-step explanation:
10 dimes are 100 aka 1 dollar, and 30 nickels make 250
Find the equivalent exponential expression. (5^5)^4
Answers
Answer:
5^20
Step-by-step explanation:
since you have brackets around (5^5) you can multiply the exponents. if you think about it what you're essentially doing is
(5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) *
(5 * 5 * 5 * 5 * 5)
which is why you can multiply the exponents to simplify
The Rotation maps all 60° about O the center of the regular hexagon. State the image of B for the following rotation. R^3=
F
E
B
Answers
B will be at the place of E after all three rotations. So the correct option is B.
What is Rotation?Moving in a circular plane with respect to the fixed point is called as the rotation of the object.
If rotation maps to The three rotations for B will be
The given B after one rotation will shift in place of C
After the second rotation will shift in place of D
After the third rotation will shift in place of E
B will be at the place of E after all three rotations. So the correct option is B.
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Solve for x
3x² - 5x + 6 = 10 - 4x
Answers
Answer: [tex]-1, \frac{4}{3}[/tex]
Step-by-step explanation:
[tex]3x^{2}-5x+6=10-4x\\\\3x^{2}-x-4=0\\ \\ (x+1)(3x-4)=0 \\ \\ x=\boxed{-1, \frac{4}{3}}[/tex]
Answer:
x = -1
x = 4/3
Step-by-step explanation:
Hello!
First, let's convert the equation into Standard Form: [tex]ax^2 + bx + c = 0[/tex]
[tex]3x^2 - 5x + 6 = 10 - 4x[/tex][tex]3x^2 - x - 4 = 0[/tex]We can solve this by factoring the quadratic. We have to find two numbers that multiply to [tex]ac[/tex] but add up to [tex]b[/tex].
ac = -12b = -1The two numbers would be -4 and 3. We can expand -x to -4x + 3x, and then factor by grouping.
Factor[tex]3x^2 - x - 4 = 0[/tex][tex]3x^2 +3x - 4x - 4 = 0[/tex][tex]3x(x + 1) - 4(x + 1) = 0[/tex][tex](3x - 4)(x + 1) = 0[/tex]Use the Zero Product Property. Set each factor to zero and solve for x.
3x - 4 = 03x = 4x = 4/3x + 1 = 0x = -1The solutions to the quadratic are -1 and 4/3.
If function g has the factors (x - 7) and (x + 6), what are the zeros of function g?
Answers
When a given function is written with factors in the form of ( x - r ), then r is a zero of the function.
Solving the QuestionWe're given:
Function g has factors (x-7) and (x+6)Therefore, the zeros of the function are 7 and -6.
Answer-6, 7
The zeroes of the function will be equal to ( 7, -6 ).
What is a quadratic equation?
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given function:-
( x- 7 ) ( x+ 6 )As we can see that the quadratic equation in the factorized form is ( x - 7 ) ( x+ 6 ) so we will equate each factor to zero.
( x- 7 ) = 0
x = 7
( x+ 6 ) = 0
x = -6
Therefore zeroes of the function will be equal to ( 7, -6 ).
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Please find x! These are probably simple! ASAP pls! 2 problems!
1) 3 + x + (-7) ; x = 6
2) x + (-5) + 5; x = -3
17 points:)
Answers
The numeric values of the given expressions are given as follows:
1) 2.
2) -3.
How to find the numeric value of an expression?We find the numeric value of an expression replacing all instances of x by the number.
The expression 1 is:
3 + x + (-7) = 3 + x - 7 = x - 4.
When x = 6, the value is:
x - 4 = 6 - 4 = 2.
The expression 2 is:
x + (-5) + 5 = x - 5 + 5 = x.
Hence, when x = -3, the value is:
x = -3.
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Its math please help
Answers
Answer:
g
Step-by-step explanation:
for this function, we put in the value of "g" (because it is the cause of the function--it is the independent variable [it changes; and it doesn't rely on something else to change] )
so, because the part independently changing is the gas used, that is our input of this graph.
(you can imagine this to be a graph, which typically has the independent variable that we are directly changing--x--along the x-axis, which is where we would place g.)
hope this helps!!
A=(3+[tex]\frac{a+\sqrt{a} }{\sqrt{a}+1 }[/tex])(3-[tex]\frac{a-5\sqrt{a} }{\sqrt{5}-5 }[/tex])
Answers
The simplification of the given algebra we see is; 9 + 3((a√a + a - a + √a)/(a - 1)) - ³/₂₀((√5 - 5)(a - 5√a)) - (a² - 4a√a - 5a)/((√a + 1)*√5 + 5))
How to Simplify Algebra?We are given the algebra expression;
A = [3 + ((a + √a)/(√a + 1))][3 - ((a - 5√a)/(√5 + 5))]
When we multiply out, we will get;
9 + 3((a + √a)/(√a + 1)) - 3((a - 5√a)/(√5 + 5)) - [((a + √a)/(√a + 1)) * ((a - 5√a)/(√5 + 5))]
⇒ 9 + 3((a√a + a - a + √a)/(a - 1)) - ³/₂₀((√5 - 5)(a - 5√a)) - (a² - 4a√a - 5a)/((√a + 1)*√5 + 5))
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what is the area of the triangle formed from (0,1), (0,4), and (4,1)?
Answers
Answer:
6 square units
Step-by-step explanation:
base = 4 units
height = 3 units
[tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base*height}[/tex]
[tex]\sf =\dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square units[/tex]
[tex]\Large❏ \: \large\begin{gathered} {\underline{\boxed{ \rm {\blue{Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: Base \: × \: Height }}}}}\end{gathered}[/tex]
[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{2} \: \times \: Base \: × \: Height [/tex]
[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{2} \: \times \: 4 \: × \: 3 [/tex]
[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{ \cancel2} \: \times \: \cancel{4} \: ^{\green2} \: × \: 3 [/tex]
[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 2 \: \times \: 3[/tex]
[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 6[/tex]
Hence , the area of triangle is 6 units.
In studies that use more than one data collector, how is the consistency of the data evaluated?.
Answers
In order to evaluate consistency in studies with more than one data collector, the Inter-rater reliability is used.
What is the Inter-rater reliability?This is a measure in research that is used to test the data presented by different data collectors, for consistency.
It essentially checks the extent to which the data collected from the different sources agree with each other.
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The figure below shows a large rectangle with a small rectangle cut out of it.
What is the area?
Answers
Answer:
40 square units
Step-by-step explanation:
The question gives that both the large shape and the small missing shape are rectangles. The formula for the area of a rectangle is [tex]A=bh[/tex] where "A" is the "Area", "b" is the "base" (bottom edge), and "h" is the height (side edge).
For rectangles, opposite sides (example: top & bottom) have the same length, so the top of the missing rectangle must also be 3.
To find the area of the figure, we must find the difference (subtraction) between the large rectangle (without a hole out of it) and the rectangular hole.
[tex]A_{\text{figure}}=A_{\text{large rectangle without hole}}-A_{\text{hole}}\\A_{\text{figure}}=(7)(7)-(3)(3)\\A_{\text{figure}}=49-9\\A_{\text{figure}}=40[/tex]
So, the area of the figure is 40 square units.
Answer:
40
Step-by-step explanation:
We can make a big square by making a line at the top open edge (as shown in the image attached below). We will first solve for [tex]A_{2}[/tex] and then [tex]A_{1}[/tex], and then finally solving for out answer by subtracting [tex]A_{1}[/tex] from [tex]A_{2}[/tex] .
[tex]A_{2}[/tex] is a square with side lengths of 7, so the area is 7 * 7 = 49.
[tex]A_{1}[/tex] is a smaller square with side lengths of 3, so the area is 3 * 3 = 9.
[tex]A_{2} - A_{1} = 49 - 9 = 40[/tex]
∴ Our final answer is 40
measurements are made on a raingauge at
Answers
Step-by-step explanation:
Most standard rain gauges have a wide funnel leading into the cylinder and are calibrated so that one-tenth of an inch of rain measures one inch when it collects inside.
Determine the x-intercept of the following equation.
(-x-2)(x-3)=y
Answers
Answer:
3,-2
Step-by-step explanation:
set y =0 and solve
(-x-2)(x-3)=0
the values 3, -2 solve the equation and are your x-intercepts
Which of the following could be the equation of the function below?
y = -3 sin (2 (x + pi)) + 2
y = -3 sine (x + pi) + 2
y = 3 sin (4 (x - pi)) + 4
y = 3 sin (2 (x + pi)) + 2
Answers
The equation of the sine function will be y = -3 sin [2(x + π)] + 2. Then the correct option is A.
What is a sinusoidal Function?It is a function that repeats itself in a particular time interval.
The equation is given as
y = A sin (ωx + Ф) + C
Where A is the amplitude, ω is the frequency, Ф is the phase difference, and C is the constant.
From the graph, we have
A = -3
ω = 2
Ф = 2π
C = 2
Then we have the equation will be
y = -3 sin [2(x + π)] + 2
Then the correct option is A.
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help its timed 12 pts
Answers
Answer:
A
Step-by-step explanation:
I think your right!
Answer:
B
Step-by-step explanation:
I think it means the roots, at which the line crosses the x-axis, in which case, the answer is B, 0 and 1.4
What quadrant is the point (2, -5) in?
Answers
Answer:
quadrant 4
Step-by-step explanation:
(2,-5) would be in the 4th quadrant
In the figure below, j || m. Find the values of x and y.
Answers
X and 73 are same-side interior angles, which are supplementary (they add up to 180).
x + 73 = 180
x = 107
X and (6y - 79) are vertical angles, which are congruent (have the same measure/value.
x = 6y - 79
107 = 6y - 79
6y = 186
y = 31
Hope this helps!
there are 48 students on the school bus, 28 girls and 20 boys. what is the ratio to girls to boys on the school bus?
A. 5:7
B. 7:5
C. 3:4
Answers
Answer:
eather a 5:7 or c 3:4
Step-by-step explanation:
i rlly do hope this helps and good luck
Step-by-Step Solution:
No. Of Boys = 20
No. Of Girls = 28
Total No. Of Students = 48
Ratio of Girls to Boys
= 28/20
= 14/10
= 7/5
=> 7:5
Correct Option is C) 7:5
Carl is making a garden that is twice as long as it is wide. he wants to cover 271
square feet with the garden. which equation best represents the situation if x
represents the length of the garden?
Answers
The equation which best represents the scenario is, x²/2=271
Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
Perimeter is a length of the boundary surrounding the area
Area of rectangle=length x Breadth
Perimeter=2(length+breadth)
length=x
breadth=x/2
Area=271ft²
Area=length x breadth
So, using the given value we can write
271=x²/2
⇒x=√542
=23.28ft
Therefore, the equation which best represents the scenario is, x²/2=271
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Select the correct answer.
Edwin graphs the relationship of the gallons of milk he buys in terms of dollars.
Answers
What is the value of y?
Answers
Answer:
y
Step-by-step explanation:
the value of y may be y or on the alphabetic order 25th
Find the lengths of sides marked with variables (x, y, w, z). Show all work
Answers
Answer:
1) 19.07 m, 2) 80.10 ft, 3) 56.79 mStep-by-step explanation:
Use trigonometry to solve for unknowns.
1) Use sinesine = opposite leg / hypotenusesin 27° = x/42x = 42 sin 27°x = 19.07 m (rounded)2) Use tangenttangent = opposite leg / adjacent legtan 23° = 34/xx = 34 / tan 23°x = 80.10 ft3) Use cosinecosine = adjacent leg / hypotenusecos 48° = 38/xx = 38 / cos 48° x = 56.79 m (rounded)#1
sin27=x/42x=42sin27x=19.07m#2
tan23=34/xx=34/tan23x=80.1ft#3
cos48=38/xx=38/cos48x=56.79mIf a polygon has an area of 25cm and is dilated by a factor of 3, what will be the area of the dilated polygon?
Answers
Answer:
225 cm²
Step-by-step explanation:
dilatation factor = 3 , then
area factor = 3² = 9
the area of the dilated polygon is then 9 times the area of the original so
area of dilated polygon = 9 × 25 = 225 cm²
Which linear inequality is represented by the graph?
Answers
Answer:
The equation of the line is y ≥ 1/3(x)-1
Step-by-step explanation:
Given
The line intersects y-axis at (0,-1). Therefore, the y-intercept is -1
The line passes through the points (0,-1) and (3,0)
The slope can be obtained as follows,
m = 0-(-1)
3-0
= 1/3
The linear equation with slope and intercept is given as follows.
y = mx + c
Substitute 1/3 for m, 3 for x and 0 for y in equation to obtain the value of
c .
0 = 1/3 *3 + c
c= -1
To check whether the equation includes origin substitute 0 for x and 0 for y in equation
Therefore, y≥ mx+c
= 1/3*x-1
Hence, Linear inequality represented is y ≥ 1/3(x) -1
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Which quadratic equation is equivalent to (x-4)2-(x-4) - 6 = 0?
Answers
Answer:
x=4
Step-by-step explanation:
2x-8-x+4-6=0
or,2x-x-8+4=0
or,x-4=0
or,x=0+4
•°•x=4
ans
Answer:
x = 2 or 7
Step-by-step explanation:
(x-4)² - (x-4) - 6 = 0
x²-8x+16-x+4 -6 = 0
x²-9x+14 = 0
(x-2)(x-7) = 0
∴x = 2 or 7
Jej pls help someone didnt get right b4 i give 50 points
Answers
Answer:
Mixed Number: 11 1/5
Improper Fraction: 56/5
Step-by-step explanation:
Given:
It takes 3/7 tonnes of sand to make a tonne of concrete.
Mason has 4 4/5 tonnes of sand.
To Find:
How much concrete, in tonnes, can he make?
Give your answer as a fraction in its simplest form.
Solve:
By the given , takes 3/7 tonnes of sand = tonne of concrete.
Thus, we divide the total of tonnes of sand Mason have by how many it takes to make a tonne of concrete.
Hence, we have;
[tex]4\frac{4}{5}\div \frac{3}{7}[/tex]
Convert to improper fraction;
[tex]=\frac{24}{5}\div \frac{3}{7}[/tex]
Using the fraction rule;
[tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{24}{5}\times \frac{7}{3}[/tex]
Cross-cancel common factor - 3
[tex]=\frac{8}{5}\times \frac{7}{1}[/tex]
Multiply fraction:
[tex]=\frac{56}{5}[/tex]
Convert improper to mixed number:
[tex]=11\frac{1}{5}[/tex]
Hence, the answer is [tex]\mathrm{11\frac{1}{5}\;or\;\frac{56}{5} }[/tex]
RevyBreeze
Answer:
[tex]\rm Improper \ fraction : \sf \sf \dfrac{56}{5} \ of \ concrete[/tex]
[tex]\rm Mixed \ fraction: \sf 11\dfrac{1}{5} \ of \ concrete[/tex]
Explanation:
[tex]\sf concrete = total \ tones \ of \ sand \ \div \ unit \ rate \ of \ sands \ required \ to \ make \ concrete[/tex]
Here given:
total tones of sand = 4 4/5unit rate of sand required = 3/7Concrete:
[tex]\sf \rightarrow 4\dfrac{4}{5} \div \dfrac{3}{7}[/tex]
[tex]\rightarrow \sf \dfrac{24}{5}\div \dfrac{3}{7}[/tex]
[tex]\rightarrow \sf \dfrac{24}{5}\times \dfrac{7}{3}[/tex]
[tex]\rightarrow \sf \dfrac{56}{5}[/tex]
[tex]\rightarrow \sf 11\dfrac{1}{5}[/tex]
Find the value of y in the equation attached to this question
Answers
Answer:
y = 4
Step-by-step explanation:
1) Simplify [tex]3^5[/tex] to 243.
[tex]{9}^{y}=\frac{243\times {9}^{6}}{{27}^{3}}[/tex]
2) Simplify [tex]{9}^{6}[/tex] to 531441.
[tex]{9}^{y}=\frac{243\times 531441}{{27}^{3}}[/tex]
3) Simplify [tex]243\times 531441[/tex] to 129140163.
[tex]{9}^{y}=\frac{129140163}{{27}^{3}}[/tex]
4) Simplify [tex]{27}^{3}[/tex] to 19683.
[tex]{9}^{y}=\frac{129140163}{19683}[/tex]
5) Simplify [tex]\frac{129140163}{19683}[/tex] to 6561.
[tex]{9}^{y}=6561[/tex]
6) Convert both sides to the same base.
[tex]9^y=9^4[/tex]
7) Cancel the base of 9 on both sides.
[tex]y=4[/tex]
Cheers,
ROR
Answer:
y = 4
Step-by-step explanation:
Decompose in base 3
[tex]9^{y} =\frac{3^{5} (3^{2})^{6} }{(3^{3})^{3} } =\frac{3^{5}3^{12} }{3^{9} } =\frac{3^{17} }{3^{9} } =3^{17-9} =3^{8}[/tex]
if
[tex]3^{8} =(3^{2} )^{4} =9^{4}[/tex]
then
[tex]9^{y} =9^{4}[/tex]
[tex]y=4[/tex]
Hope this helps
You spin the spinner twice.
What is the probability of landing on a 7 and then landing on a number less than 9?
Write your answer as a fraction or whole number.
Answers
Answer:
1/3
Step-by-step explanation:
the answer is 1/3 because the probability of landing on a 7 is 1/3 and the probability of landing on any number less than 9 is 2/3. Then, you multiply the probabilities: 1/3 * 2/3 = 2/9 = 1/3
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
2 similar triangles. Triangle 1 has side lengths 14, 21, blank. Triangle 2 has side lengths 18, 27, blank.
a.
StartFraction 14 Over 27 EndFraction = StartFraction 21 Over 28 EndFraction = StartFraction 14 Over 27 EndFraction
b.
StartFraction 14 Over 18 EndFraction = StartFraction 21 Over 27 EndFraction = StartFraction 7 Over 9 EndFraction
c.
StartFraction 14 Over 21 EndFraction = StartFraction 18 Over 27 EndFraction = StartFraction 2 Over 3 EndFraction
d.
StartFraction 27 Over 14 EndFraction = StartFraction 28 Over 21 EndFraction = StartFraction 27 Over 14 EndFraction
Answers
The ratio of the sides of the given similar triangles is: C. 4/12 = 5/15 = 1/3.
How do the Sides of Similar Triangles Relate?The corresponding sides of similar triangles have ratios that are equal to each other.
The corresponding sides and their ratios are:
4/12 = 1/3
5/15 = 1/3
Therefore, the ratio of their sides in its lowest term is:
C. 4/12 = 5/15 = 1/3
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