Answers
Answer:
5 feet per second
Step-by-step explanation:
Given that,
X(seconds) 0 1 2 3 4
Y (feet) 0 1 4 9 16
We need to find the average rate of change between 1 seconds and 4 second.
X = 4-1 = 3 seconds
Y = 16 - 1 = 15 feet
We know that,
Speed = distance/time
So,
[tex]v=\dfrac{15}{5}\\\\v=5\ ft/s[/tex]
So, the correct option is (c).
Related Questions
Matthew has 5 1/4 bags of fertilizer to spread around his yard. Each bag of fertilizer will cover 115.4 ft 2. How many square feet will Matthew be able to cover if he uses all of the fertilizer?
Answers
Answer:
605.85 (ft 2)
Step-by-step explanation:
5 1/4 * 115.4 = 605.85 (ft 2)
If 2x + 5 = 82, then 12x = ?
A 5
B
10
C 15
D 20
Answers
Answer:
2x= 38.5
Step-by-step explanation:
I'm not sure where u got 12x but 2 x = 38.5:
2x + 5 =82
subtract 5 for 82
2x = 77
77 divided by 2 is 38.5
x = 38.5
hope this helps :)
NEED HELP DUE IN 6 MINUTES!!!!
Answers
Answer:
120
Step-by-step explanation:
volume of triangular prism = area of base times length
the base is a triangle and the area of a triangle can be calculated by using this formula
[tex]a=\frac{bh}{2}[/tex]
where b = base length and h = height
Dimensions of base
base length = 8cm and height = 3cm
Thus,
[tex]A=\frac{3*8}{2} \\3*8=24\\\frac{24}{2} =12\\[/tex]
The length of the triangular prism is 10cm
Thus volume = 10 * 12 = 120
Draw a right triangle that has an 18-cm hypotenuse and a 70-degree angle. To within 0.1 cm, measure the leg adjacent to the 70-degree angle, and express your answer as a percentage of the hypotenuse. Compare your answer with the value obtained from your calculator when you enter COS 70 in degree mode. This is an example of the
Answers
Answer:
[tex]\frac{6.3cm}{18cm}=0.35[/tex]
or 35%
cos(70°)=0.34
The difference in the result is because of the precision of the measurements.
Step-by-step explanation:
First, we can start by drawing a horizontal line in our sheet of paper and pick one point on the line. (Picture 1)
Next we take our protractor and measure 70°. (Picture 2)
Then we draw a line that measures 18cm with our ruler from the point we selected on the horizontal line to the point we measured with the protractor. (Picture 3)
Next we take our square and measure a 90° angle from the end of the line we drew on the previous step to the horizontal line and connect the horizontal line to the ending point of the hypotenuse. (Picture 4)
And that will be our triangle. Next we can measure the adjascent side to the 70° angle (Picture 6) which turned out to be 6.3cm which can now be used to calculate the ratio as a percentage. (Picture 5)
[tex]ratio=\frac{adjascent}{hypotenuse}=\frac{6.3cm}{18cm}=0.35[/tex]
which is the same as a 35%.
If we calculated the cos(70°) with our calculator we would get:
cos(70°)=0.34
As you may see our measurements were pretty precise, the difference in answers will depend on the precision of our measurements.
can someone please help I will do anything
Answers
Answer:
678.24 cubic centimeters
Step-by-step explanation:
A rectangular room is 11 feet by 14 feet. The ceilings are 9 feet high. If a gallon of paint covers 250 square feet. How many gallons of paint are needed to paint the room?
Answers
Answer:
3 gallons or 3.032
Step-by-step explanation:
find the total surface area (758)
divide by 250 or subtract 250 till it is under that number
What is the slope of the line that passes through the points (2, 3) and (8, 6)
Answers
Answer:
The slope of the line that passes through the points (2, 3) and (8, 6) is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
To find the slope of two points, divide the difference between the y values by the difference between x values, you can remember this by the mnenomic "rise over run". In this case, the difference between y and x values would be 6 - 3 = 3 and 8 - 2 = 6 respectively. This means the slope between the two points (2, 3) and (8, 6) is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex].
A dilation has center at the origin. Which of the following is the image of the point P(1.- for a scale
factor of
A
D: (P) = P(x3)
B
D}(P) = P',
C
D:(P) = P1C-
D
D}(P) = PG-)
Answers
Answer:
C. [tex]D_\frac{1}{7} (P)=P'(\frac{1}{4},-\frac{5}{14} )[/tex]
Step-by-step explanation:
[tex]\frac{7}{4}*\frac{1}{7}=\frac{7}{28} =\frac{1}{4}[/tex]
[tex]-\frac{5}{2} *\frac{1}{7} =-\frac{5}{14}[/tex]
What is the magnitude of -3 +4i?
Answers
Answer:
we have
-3+4i
let magnitude be |z|
|z|=[tex] \sqrt{( - 3) {}^{2} + 4 {}^{2} } [/tex]
|z|=5 unit
Answer:
The magnitude of -3 +4i is 5
Step-by-step explanation:
The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis two points A and B are shown. The point A is on ordered pair 2, 1, and the point B is on ordered pair negative 1, 1. A straight line joins the points A and B. If the area of the rectangle to be drawn is 18 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (1 point) C(−1, −2), D(2, −2) C(−1, −8), D(2, −8) C(−1, −5), D(2, −5) C(−1, −6), D(2, −6)
Answers
9514 1404 393
Answer:
3. C(−1, −5), D(2, −5)
Step-by-step explanation:
The given points are 2 -(-1) = 3 units apart horizontally, so the remaining points will need to be 18/3 = 6 units below, vertically. Translating the given points down 6 gives ...
D = A -(0, 6) = (2, 1) -(0, 6) = (2, -5)
C = B -(0, 6) = (-1, 1) -(0, 6) = (-1, -5)
The two points required to make a rectangle with an area of 18 square units are ...
C(-1, -5), D(2, -5)
_____
The area of a rectangle is the product of length and width. If the area is 18 square units, and the width is 3 units, then the length must be 6 units. 3×6=18.
Show the work please.
Answers
9514 1404 393
Answer:
3x = ln(y+4)
Step-by-step explanation:
Taking the natural log of both sides, you have ...
3x = ln(y +4)
__
The applicable rule of logarithms is ...
ln(e^a) = a
The "work" is applying this rule. Here, a=3x. The log of a sum cannot be simplified.
Which binomial is a factor of 3x^2 + 2x − 5 ?
3x-1
3x-5
x-1
x-5
Answers
Answer:
3x-1
Step-by-step explanation:
3x^2+2x-5=3x-1 x1-25
6 boba drinks for $8.40 or 9 boba drinks for $9.95
Which one is a better deal?
Answers
Answer:
9 for $9.95
Step-by-step explanation:
this is because 6 for $8.40 is about $1.40 and 9 for $9.95 is about $1.10
Write exponential equation for geometric sequence where t(1)=140 and t(2)=98
Answers
Step-by-step explanation:
common ratio r = 98/140
first term a = 140
geometric sequence formula is an = ar^(n-1)
an = 98^(n-1)
where n is the number of terms in the sequence
Red Blue Yellow Green What is the probability of a player spinning the color blue and then rolling a 4?
A: 1/4
B: 1/24
C: 1/6
D: 1/16
Answers
Answer:
(1/4)×4=1/16
Step-by-step explanation:
Blue is 1 out of the 4 colours, it rolls for 4 times
What is the value of cos pi/4?
Answers
Answer: -0.25
Step-by-step explanation:
Answer:
-0.25
Step-by-step explanation:
Given the triangle below, what is the length
of the hypotenuse?
4 cm
5 cm
Answers
Answer:
6.4 cm
Step-by-step explanation:
i think you'd use pythagoras theorem if you don't know any of the angles . a^2 + b^2 = c^2 . so 4^2 + 5^2 = square root 41 ,, = 6.403124237 cm
i apologise if it is incorrect ^^
Answer:
Sq root of 41cm
Step-by-step explanation:
took the test
What is the arc measure of major arc ABC in degrees?
Answers
9514 1404 393
Answer:
249°
Step-by-step explanation:
Arc ABC = Arc AB + Arc BC
= 180° +69°
Arc ABC = 249°
Rationalize the denominator of the expression 2 - √ 3 / √ 6
Answers
Step-by-step explanation:
[tex] \to \dfrac{2 - \sqrt{3} }{ \sqrt{6} } [/tex]
Conjugate of √a is √a. So, conjugate of √6 is √6. Multiplying √6 with both numerator and denominator.[tex] \to \dfrac{2 - \sqrt{3} }{ \sqrt{6} } \times \dfrac{ \sqrt{6} }{ \sqrt{6} } [/tex]
[tex] \to \dfrac{ \sqrt{6}( 2 - \sqrt{3} )}{ {(\sqrt{6})}^{2} } [/tex]
[tex] \to \dfrac{ 2 \sqrt{6} - \sqrt{18} }{ 6 } [/tex]
[tex] \to \dfrac{ 2 \sqrt{6} - 3 \sqrt{2} }{ 6 } [/tex]
[tex] \to \dfrac{ \sqrt{6}}{3} - \dfrac{ \sqrt{2} }{ 2 } [/tex]
Hence, rationalised!The base of the pyramid is an equilateral triangle. Find the volume of the pyramid. Round your answer to the nearest tenth.
10 in.
4 in.
Can someone help me pls ASAP!!❤️
Answers
Answer:
66 2/3 cubic inches
Step-by-step explanation:
V=1/3Bh where 'B' is the area of the base and 'h' is height
V = 1/3(20)(10)
V = 200/3 or 66 2/3 cubic inches
can someone help me.?!
Answers
[tex]{\boxed{\mathcal{\red{h\:=\:9.5}}}}[/tex] ✅
Step-by-step explanation:-[tex]h + \frac{1}{2} = 10 \\ ⇢ h + 0.5 = 10 \\ ⇢ h \: = 10 - 0.5 \\ ⇢ h = 9.5[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answers
Answer:
tan
Step-by-step explanation:
take 19 degree as reference angle
using tan rule
tan 19=opposite/adjacent
0.34=14/x
x=14/0.34
x=41.17
x=41.2
A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49.51. Assume monthly gasoline bill amounts are normally distributed. The probability that his bill will be less than $50 a month or more than $150 for a single month is:
Answers
Answer:
The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A salesman who uses his car extensively finds that his gasoline bills average $125.32 per month with a standard deviation of $49.51.
This means that [tex]\mu = 125.32, \sigma = 49.51[/tex]
Less than 50:
p-value of Z when X = 50. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 125.32}{49.51}[/tex]
[tex]Z = -1.52[/tex]
[tex]Z = -1.52[/tex] has a p-value of 0.0643
More than 150
1 subtracted by the p-value of Z when X = 150. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 125.32}{49.51}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915
1 - 0.6915 = 0.3085
The probability that his bill will be less than $50 a month or more than $150 for a single month is:
0.0643 + 0.3085 = 0.3728
The probability that his bill will be less than $50 a month or more than $150 for a single month is 0.3728 = 37.28%.
Line a is parallel to line b. If the
measure of Z7 is 114°, what is the
measure of Z1?
Answers
9514 1404 393
Answer:
114°
Step-by-step explanation:
Alternate exterior angles 1 and 7 are congruent. Angle 1 has the same measure as angle 7.
angle 1 = 114°
write the expression for when you translate the graph of y= |x+7| one unit to the left
HELP PLSSSS
Answers
Answer:
y = |x+8|
Step-by-step explanation:
Translating an absolute value graph one unit to the left means adding 1 inside the absolute value brackets.
Translating an absolute value graph one unit to the right means adding (-1) inside of the absolute value brackets.
Translating an absolute value graph one unit up means adding 1 outside the absolute value brackets.
Translating an absolute value graph one unit down means adding (-1) outside the absolute value brackets.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The length of a rectangle is 5 centimeters less than 3 times its width. The perimeter of the rectangle is 6 times the rectangle's width. What is the width of the rectangle in centimeters?
Answers
Answer:
width=6cm, lenth is 7cm
Step-by-step explanation:
Which of the following are true statements about a 30-60-90 triangle?
Lan
Answers
Answer:
C and F
Step-by-step explanation:
Answer:
A, F
Step-by-step explanation:
ratio of sides in a 30-60-90 triangle is 1 : [tex]\sqrt{3}[/tex] : 2
Choose a method you prefer to solve for a system of linear equations.
2x + 4y = -4
2x-y=6
Answers
Answer:
Elimination
x = 2
y = -2
Step-by-step explanation:
Elimination
2x + 4y = -4
2x - y = 6
Subtract the second equation from the first
5y = -10
Divide both sides by 5
y = -2
---------------------
Substitute for y = -2 in the second equation
2x - -2 = 6
2x + 2 = 6
subtract 2 from both sides
2x = 4
Divide both sides by 2
x = 2
What is the inverse operation of add 3? A. subtract 3 B. add 3 C. divide by 3 D. multiply by 3
Answers
Answer:
Subtrac 3
Step-by-step explanation:
Given
Add 3
Required
The inverse operation
In algebra, the inverse of add is subtract;
Hence, the inverse of add 3 is subtract 3
latoya made $80 for 5 hours of work. At the same rate, how much would she make for 13 hours of work
Answers
Answer:
$208
Step-by-step explanation:
First, divide.
80 ÷ 5 = 16
Next, multiply.
16 × 13 = 208
Lastly, have a wonderful day! :)
Answer:
At the same rate, Latoya would make $208 for 13 hours of work.
Step-by-step explanation:
Since Latoya made $80 for 5 hours of work, that means she made a unit rate of $16 per hour. By working at the same rate for 13 hours, she would make a total of [tex]16 * 13 =[/tex] $208.