Answer:
[tex]Rate = -10[/tex]
Step-by-step explanation:
Given
The table
Required
The average rate if change over (4,6)
This is calculated as:
[tex]Rate = \frac{f(6) - f(4)}{6-4}[/tex]
[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]
From the table:
[tex]f(6) = -37[/tex]
[tex]f(4) = -17[/tex]
So:
[tex]Rate = \frac{-37 --17}{2}[/tex]
[tex]Rate = \frac{-37 +17}{2}[/tex]
[tex]Rate = \frac{-20}{2}[/tex]
[tex]Rate = -10[/tex]
The height ofthe saddle ofa horse above the base ofa carousel can be modeled 4t by the equation f-rr) : 12 sin ^ r 42, where I represents seconds after the ride started. I How much time does to take for the horse to complete one cycle of motion and return to its starting height. What is the maximum height and the minimum height ofthe horse's saddle above the base ofthe carousel
Answer:
(a) The time to complete 1 cycle and return is 16/3
(b) The minimum height is 30 inches and the maximum is 54 inches
Step-by-step explanation:
Given
[tex]f(t)=12\sin(\frac{3\pi}{8}t) + 42[/tex]
Solving (a): Time to complete 1 cycle and return
This implies that we calculate the period.
This is calculated using:
[tex]T = \frac{2\pi}{w}[/tex]
Where:
[tex]w = \frac{3\pi}{8}[/tex]
So, we have:
[tex]T = \frac{2\pi}{3\pi/8}[/tex]
Rewrite as:
[tex]T = \frac{8*2\pi}{3\pi}[/tex]
[tex]T = \frac{16}{3}[/tex]
Solving (b): The maximum and the minimum height
To do this, we have:
[tex]-1 \le \sin(\theta) \le 1[/tex]
Which means:
[tex]-1 \le \sin(\frac{3\pi}{8}) \le 1[/tex]
So, the maximum and the minimum of [tex]\sin(\frac{3\pi}{8})[/tex] are:
[tex]\sin(\frac{3\pi}{8}) = -1[/tex] --- minimum
[tex]\sin(\frac{3\pi}{8}) = 1[/tex] --- maximum
Given that:
[tex]f(t)=12\sin(\frac{3\pi}{8}t) + 42[/tex]
So, the minimum height is:
[tex]h_{min} = 12 * -1 + 42 = 30[/tex]
The maximum is:
[tex]h_{max} = 12 * 1 + 42 = 54[/tex]
Which of the question below could be the equation of this parabola ?
A) x=-4x^2
B) y=4x^2
C) x=4y^2
D) y=-4x^2
A flower garden is the shape of a circle. The circumference of the garden is 20 meters. What is the area of the garden. Use 3.14 for pie and round your answer to the nearest whole number.
Answer:
Circumference = 2 pi r = 2*3.14 *r = 20
radius r = 20 / 2*314 = 3.185
Area = pi r^2 = 3.14 * 3.185^2 = 32 m^2 to nearest whole number
the premeter of a rectangle is 326cm and its lenght is 98cm find its breath and area
Perimeter = 2(length+breadth)
326= 2(98+b),
breadth= 65 cm
Area of rectangle = l×b = 98×65= 6370cm²
A rectangular garden covers 80 yd?. The length is 7 yd longer than the width. Find the length and width.
Round your answers to the nearest tenth of a yard.
Answer:
The width of the rectangle is 6,105 yards, and the length of the rectangle is 13,105 yards.
Step-by-step explanation:
Given that a rectangular garden covers 80 square yards, and the length is 7 yd longer than the width, to find the length and width of the rectangle the following calculation must be performed, knowing that the area of a rectangle arises from multiplying its width by its length:
X x (X + 7) = 80
5 x 12 = 60
6 x 13 = 78
8 x 14 = 112
6.1 x 13.1 = 79.91
6,105 x 13,105 = 80
Therefore, the width of the rectangle is 6,105 yards, and the length of the rectangle is 13,105 yards.
Names the figures in two different ways.
Answer:
hsjsjsjsjaiisisudujsjsjsjsj
please help me with these questions
Answer: 24- b 25- c 26- b 27- c
Step-by-step explanation:
The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place.
According to the fundamental theorem of algebra, which of the following statements is correct?
0
The quadratic function has no real zeros and two complex zeros.
The quadratic function has two distinct real zeros.
The quadratic function has one distinct real zero and one distinct complex zero.
D.
The quadratic function has two distinct real zeros and one distinct complex zero.
9514 1404 393
Answer:
The quadratic function has two distinct real zeros.
Step-by-step explanation:
The fundamental theorem of algebra says the number of zeros is equal to the degree of the polynomial. A quadratic (2nd degree) will have two zeros.
We are given that the function has two x-intercepts (real zeros), so we can conclude ...
The quadratic function has two distinct real zeros.
Write down the name of each of these shapes
A)
B)
C)
D)
Answer:
a - Right angled triangle
b - Parallelogram
c - Square
d - kite
Step-by-step explanation:
Hope this helps
Goodluck
These are the names of each of these shapes;
1. Right-angled triangle
2. Parallelogram
3. Square
4. kite
What is the right angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angle is a right angle.
A parallelogram is a quadrilateral with two pairs of parallel sides.
The opposite sides of a parallelogram are equal in length and the opposite angles are equal in measure.
A square is a four-sided polygon that has all sides equal in length and the measure of the angles is 90 degrees.
A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.
These are the names of each of these shapes;
1. Right-angled triangle
2. Parallelogram
3. Square
4. kite
Learn more about parallelogram here;
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A certain country has 586.08 million acres of forest. Every year, the country loses 7.92 million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left? (Use an equation to solve this problem.)
Answer:
At this pace the country will have only 237.6 million acres of forest left in 44 years.
Step-by-step explanation:
Given that a certain country has 586.08 million acres of forest, and every year, the country loses 7.92 million acres of forest mainly due to deforestation for farming purposes, to determine, if this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left, the following calculation must be performed:
Current amount - (amount lost per year x number of years) = 237.6
586.08 - (7.92 x X) = 237.6
586.08 - 7.92X = 237.6
-7.92X = 237.6 - 586.08
-7.92X = -348.48
X = -348.48 / -7.92
X = 44
Therefore, at this pace the country will have only 237.6 million acres of forest left in 44 years.
Solve the equation a=m-n for the variable n
Answer:
m-a = n
Step-by-step explanation:
a=m-n
Subtract m from each side
a-m = m-n-m
a-m = -n
Multiply each side by -1
-a+m = n
m-a = n
Do these ordered pairs represent a function?
(0, 1), (0, 2), (2,3), (4,8)
Answer:
No
Step-by-step explanation:
To be a function, each input can only go to one output
0 goes to 1 and 2 so it cannot be a functions
I’m having a hard time anyone knows??
Answer:
65
Step-by-step explanation:
See image below:)
To prepare for a party, Mark buys a small bunch of balloons for $6.00 and gift bags that cost $5.15 each. He spends a total of
$72.95 on the balloons and a gift bag for each person invited to the party. Write and solve an equation to find x, the number of
people Mark invited to the party
Answer: [tex]72.95 =6.00+5.15x[/tex] , Required equation
The number of people Mark invited to the party = 13
Step-by-step explanation:
According to the question,
Total amount spent = (Price of bunch of ballons)+(cost per gift) x (Number of persons)
Given: Total amount spent =$72.95 , Price of bunch of ballons =$6.00 ,
cost per gift =$5.15
thus,
[tex]72.95 =6.00+5.15x[/tex] , Required equation
To solve , first
subtract 6 from both sides, we get
[tex]66.95=5.15x\\\\\Rightarrow\ x=\dfrac{66.95}{5.15}\\\\\Rightarrow\ x=13[/tex]
The number of people Mark invited to the party = 13
Sketch a graph that has the following characteristics. (8 points: 2 points for each characteristic)
a. Crosses the y-axis at (0, 4)
b. Increases in the interval –12 ≤ x ≤ –2
c. Constant in the interval –2 ≤ x ≤ 2
d. Decreases in the interval 2 ≤ x ≤ 12
87 Step-by-step explanation:
Ill answer when i get the result
The side view is a bookend is shown. The perimeter of the bookend is 58 centimeters
Answer:
Step-by-step explanation:
The equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.
Given that, the perimeter of the bookend is 58 centimeters.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
Now, the perimeter is
5m-14+2m-7+3/2 m+2+3m+8=58
⇒ 10m+3/2 m-11=58
⇒ (20m+3m)/2=69
⇒ 23m=138
⇒ m=138/23
⇒ m=6
Therefore, the equation to represent the perimeter of given figure is 5m-14+2m-7+3/2 m+2+3m+8=58 and value of m is 6.
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The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year. A possible formula for the concentration C as a function of year tis:
(a) C 85 +4.6t
(b) C-85-4.6t .
(c) C-85 +0.046t
(d) C-85 -0.046
(e) C = 85 (0.046)
(f) C-85 (0.954)
(g) C = 85 (1.046)
(h) C-85(1.46)
(i) C85(0.46)
(j) C-4.6 (0.85)
Answer:
[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.
Step-by-step explanation:
Equation for an concentration increasing exponentially:
The concentration after t years, considering that it increases exponentially, is given by the following equation:
[tex]C(t) = C(0)(1 + r)^t[/tex]
In which C(0) is the initial concentration and r is the growth rate, as a decimal.
The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year.
This means that [tex]A(0) = 85, r = 0.046[/tex]. Thus
[tex]C(t) = C(0)(1 + r)^t[/tex]
[tex]C(t) = 85(1 + 0.046)^t[/tex]
[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.
if the pictures cost .29 cents and you have 353 pictures how much would it could all together
Answer:
102.37
Step-by-step explanation:
.29*353=102.37
Find the ratio please help :mathematics
Answer:
answer is 19:13 .............
10 1/16ft + 8 3/8ft +1/2 ft
Answer:
18 15/16 ft
Step-by-step explanation:
what is the request here ?
to do the additions and bring all to one summary result of ft ?
I base my answer on this assumption.
10 1/16 = 161/16
8 3/8 = 67/8
1/2 = 1/2
note let's bring everything to 16th, so that we can actually add them.
161/16
67/8 = 134/16
1/2 = 8/16
161/16 + 134/16 + 8/16 = 303/16 = 18 15/16
cross check :
add all whole numbers first, and then add the remaining fractions too (need to bring them to 16th too).
10 + 8 = 18
1/16 + 3/8 + 1/2 = 1/16 + 6/16 + 8/16 = 15/16
together, 18 15/16
yeah, it is the same.
Please help! 10 points!
What is the probability that a data value in a normal distribution is between a z-score of -0.18 and a z-score of 1.23? Round your answer to the nearest tenth of a percent. O A. 65.0% B. 55.3% C. 46.2% D. 84.3% SUBMIT
Answer:
C
Step-by-step explanation:
Zscore = - 0.18 ; Z = 1.23
To find the percentage :
P(Z< 1.23) - P(Z < - 0.18)
Using the Z probability calculator :
P(Z < - 0.18) = 0.42858
P(Z < 1.23) = 0.89065
0.89065 - 0.42858
= 0.46207
= 46.2%
2 Probability of people that like cheese and can’t ride a bike
3 find the marginal probability of people that like pepper pizza
4 find the conditional of ppl that like cheese given that they can’t ride a bike
Use the table!!!!!!! QUICKKKKKK
Answer:
i think its 60%
Step-by-step explanation:
if its wrong im rlly sorry
mark me as brainliest if its right pls
3. An expandable cone-shaped funnel consists of two sections as shown. (a) What is the volume of the bottom section? (b) What is the volume of the top section?
Answer:
1. Volume of cone =
where h is the height of the cone and r is the radius.
2. The bottom section is a cone with radius 6/2 = 3 (cm) and height= 8 cm
so the volume = ()
3. The volume of the top section is the volume of the cone - volume of bottom cone, which we already found.
V(cone)=
V(top section)=192-24=168
Step-by-step explanation:
What is the area? Round to the nearest tenth
Answer:
60.8 mm^2
D
Step-by-step explanation:
Remark
You have to assume that the left and right sides are both 9.3. The question is undoable without that assumption.
Next, you have to assume that The top is 7.8 mm across and both ends meet 9.3 at right angles. Again if that is not true, the problem can't be done. Sometimes people making these questions make errors which you are asked to correct.
Solution
So let's assume that everything I've assumed is correct.
Find the area of the rectangle.
Area = L*W
L = 9.3
W = 7.8
Area = 7.8 * 9.3
Area = 72.54 Do your rounding at the end.
Now find the are of the triangle that has been cut out.
The height = 3
The base = 7.8
Area = 1/2 b * h
Area = 1/2 7.8 * 3
Area = 11.7
The area of the figure = area of the rectangle - the triangle's area
Figure Area = 72.54 - 11.7
Figure Area = 60.84
sometimes you have to divide the diamter by 2 to get the radius.
true
false
it is true
tbh am not sure
PLEASE ANSWER!! Solve for angle Z using the Sine Law. Round to the nearest degree.
Answer:
Z = 51º
Step-by-step explanation:
sinZ/12.5 = sin76/15.5
multiply both sides by 12.5
sinZ = sin76/15.5 * 12.5
Use calculator
sinZ = 0.782496553448384
Z = arcsin 0.782496553448384
Use calculator again
Z = 51.48972926377471º
Rounded
Z = 51º
Andrew walks 2000 feet from his house to his office. What distance does he cover?
A. 18,000 in.
B. 24,000 in.
C. 25,000 in.
D. 30,000 in.
A set of data with a mean of 53 and a standard deviation of 2.3 is normally distributed. Find the values that are 3 standard deviations from the mean.
Answer:A z-score is measured in units of the standard deviation. ... is two, the value 11 is three standard deviations above (or to the right of) the mean. ... The following two videos give a description of what it means to have a data set that is “normally” distributed. ... The z-scores for µ+3σ and µ–3σ are +3 and –3 respectively.
Step-by-step explanation:
50% of the trees are fruit trees .this means that?
Answer:
Half of the trees are not fruit trees
Answer:
It means that half of the trees are fruits while the other half sprouts vegetables.
Step-by-step explanation:
100% (trees) / 2 (types of trees, in this case, fruits and vegetables) = 50% (fruit trees) : 50% (vegetable trees)
Jalen plots two integers on a horizontal number line. The leftmost integer is negative. Which must be true of the second integer
Answer:
The second integer is greater than the first.
Step-by-step explanation:
Since the first integer is the leftmost out of the two, this means that the second one must be greater than the first since it is to the right of it.
Answer:
c
Step-by-step explanation:
