Answer: 664
Step-by-step explanation:
Take the amount of days, and multiply it by the miles per day
so
8 x 83 = 664 miles
Hope this helps!! (^_^)
Find the range of the data.
4.8,5.5,4.2,8.9,3.4,7.5,1.6,3.8
The range is
7.3 is the range
Step-by-step explanation:
The range of a set of data is the difference between the largest and smallest values.
The value of the range of the data is,
⇒ 7.3
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
We have to given that;
The data set is,
⇒ 4.8, 5.5, 4.2, 8.9, 3.4, 7.5, 1.6, 3.8
Since, We know that;
Difference between the highest and smallest value of the data set is called range.
Hence, We get;
The value of the range of the data is,
⇒ 8.9 - 1.6
⇒ 7.3
Thus, The value of the range of the data is,
⇒ 7.3
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14) 4.5a = 9.0
15) 4.8b = 36
Problem Solving Strategy: Write an Equation
Write an equation for each problem using the variable -n. Then solve and check the equation.
16) Allan has 84 baseball cards. This is 19 fewer cards than Mike. How many baseball cards does Mike have?
17) Jamie can ride her bike 3 times as fast as Michelle can jog. If Jamie rides her bike at a rate of 12 miles per hour, how fast can Michelle jog?
Problem Solving Strategy: Mental Math
Study each equation, then solve.
18) 5 + r = 6 - r
19) z - 16 = - 16
20) 7n - 7 = 0
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
John's age increased by 11 is 5 less than 5 times his age. How old is he?
If x represents John's age, which of the following equations could be used to solve this problem?
O x + 11 - 5 = 5x
O x + 11 = 5x -5
O x + 11 = 5 - 5x
What is the volume of the cylinder below?
Use 3.14 for pi.
Answer:
V = 502.4 cm³
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
r = 4 cm
h = 10 cm
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = (3.14)(4 cm)²(10 cm)Evaluate exponents: V = (3.14)(16 cm²)(10 cm)Multiply: V = (50.24 cm²)(10 cm)Multiply: V = 502.4 cm³How much principal must be deposited to have a balance of $2,229,
compounded semiannually at 3% for 3 years?
Answer:
2038.51
Step-by-step explanation:
Compound interest formula:
[tex]FV=PV(1+\frac{i}{n})^{n*t}\\2229=PV(1+\frac{.03}{2})^{2*3}\\2229=PV(1.093443264)\\2037.514547=PV[/tex]
Evaluate f(3m-4) given
What's the first step in order to solve the exponential equation?
4-^5x = 21
Divide both sides by 21
O Convert the equation to a logarithm with a base of 21
O Divide both sides by 4
O Convert the equation to a logarithm with a base of 4
O The equation is already solved.
Answer:
I think it's A but I'm not sure
The freight charge on a shipment of 1200 kg is $84.00.
Which is the rate per 100 kg?
A. $0.78
B. $4.00
C. $5.70
D. $7.00
d
E. $10.08
Answer:
d
Step-by-step explanation:
The freight charge on a shipment of 1200 kg is $84.00. So, the rate per 100 kg would be $7.00. option D is correct.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that the freight charge on a shipment of 1200 kg is $84.00. we need to find the rate per 100 kg.
So, by the unitary method,
The freight charge on a shipment of 1200 kg = $84.00.
The freight charge on a shipment of 1 kg = 84/ 1200
The freight charge on a shipment of 100 kg = 84/ 1200
= 84 x 100/ 1200
= $7.00
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Write (4b^4)^2 without exponents.
Answer:
(4*b*b*b*b)*(4*b*b*b*b)
At a customer service call center for a large company, the number of calls received per
hour is normally distributed with a mean of 130 calls and a standard deviation of 10
calls. What is the probability that during a given hour of the day there will be less
than 129 calls, to the nearest thousandth?
Statistics Calculator
.460Answer:
Step-by-step explanation:
Find the area of the credit card:
2 1/4 inch, 3 1/3 inch.
Answer:
4
Step-by-step explanation:
you need to put a, b, c, d in the right four spots
Answer:
A: Southeast
B: Northwest
C: Southwest
D: Northeast
Step-by-step explanation:
Answer:
B: Northwest
C: Southwest
D: Northeast A: Southeast
Can someone please help me with these 2 questions, pleaseeeee explain them too. :) Im also giving brainliest and this is worth 15 points.
Why is having a variety of plants important in a ecosystem
Answer:
It is better to have a variety of plants because if the species of plants die out, the whole ecosystem becomes extinct.
Step-by-step explanation:
The diagram shows a sphere with center O and a radius of 4 Inches that has been cut by a plane. The cross-section
formed by the plane is shaded.
Which shape is a possible representation of the cross section?
Answer:
A circle.
Step-by-step explanation:
Ok, any plane has a vector normal to it.
Then the plane that cuts the sphere, has a normal vector.
If we draw that normal vector such that it passes through the center of the circle, we can think of this as the "axis" of a cylinder.
Such that when we step on any point of that vector, all the points of the spere that can be reached with a perpendicular line to the vector (like the radius in polar coordinates) are at the same distance of the vector.
Then we can conclude that when we cut a sphere with a plane, the cross-section will be always a circle.
Then the shape that is a representation of the cross-section is a circle.
Ill do anthing please help!!
Answer: 2π ft^2
Step-by-step explanation:
Area of a circle= π x the radius ^2
here your diameter is 4, and the radius is equivalent to half of the diameter so your radius equals 2.
A= π x 2^2
What is the volume of the cone?
Answer:
24π cm³
Step-by-step explanation:
Given the following data;
Radius, r = 3 cm
Height = 8 cm
To find the volume of a cone;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.
r is the radius of the base of the cone.
h is the height of the cone.
Substituting into the equation, we have;
[tex] Volume = \frac{1}{3} * \pi * 3^{2}*8 [/tex]
[tex] Volume = \frac{1}{3} * \pi *9 *8 [/tex]
[tex] Volume = \pi * 3 *8 [/tex]
Volume of cone = 24π cm³
1 rod equals how many yards
Answer:
5.5
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation:
multiply the length value by 5.5
What is the slope of the following table?
x y
-2 3
0 2
2 1
4 0
Answer:
-1/2
Step-by-step explanation:
Which geometric series converges?
Answer:
Option 2: 1 + 1/2 + 1/4 + 1/8+...
Step-by-step explanation:
When a geometric series converges, it has a common ratio that is in between -1 and 1. We can start by finding the common ratios of all the options and then see which one converges.
In the first option, each term is 3 times the term before it, meaning it has a ratio of 3. 3 does not fit in the range we defined, so this series does not converge.
In the second option, each term is half the term before it. This means the common ratio is 1/2. 1/2 is in the range, so this series converges.
In the third option, we can see that the common ratio is -4 since it is the number being brought to a power. -4 does not fit in the range we defined, so this series does not converge.
In the fourth option, we can see the common ratio is 2 since it is the number you multiply by tone more time to get the next term. 2 does not fit in the range we defined, so this series does not converge.
From this, we can see the second option(1 + 1/2 + 1/4 + 1/8+...) is the solution.
The geometric series [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex] converges by the rule of convergence. Thus, the option [tex]2[/tex] from the given options is correct.
When a geometric series converges, it has a common ratio that is in between [tex]-1[/tex] and [tex]1[/tex].
The convergence of the geometric series depends on the common ratio [tex]r[/tex]. When [tex]r[/tex]>1, then the series diverges.When [tex]r[/tex]<1, then the series converges, and when [tex]r[/tex] = 1, then the series oscillates.
The common ratio [tex]r[/tex] of the series [tex]\dfrac{1}{81} +\dfrac{1}{27} +\dfrac{1}{9} +\dfrac{1}{3}[/tex] is greater than [tex]1.[/tex] So, the series diverges.
For the series, [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex] , the common ratio [tex]r[/tex] is [tex]\dfrac{1}{2}[/tex], which is less than [tex]1[/tex] . So, the series converges.
For the series, [tex]\sum 7(-4)^n[/tex] , here the common ratio is [tex]-4[/tex] which does not lie in the range of convergence. Thus the given series is not convergent.
For the series,[tex]\sum \dfrac{1}{5}(2)^{n-1}[/tex] the common ratio is 2. So, the series is not convergent.
The geometric series is [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex].
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The University of Arizona is monitoring the spread of a bacteria by placing 100 spores of the bacteria at the start of the project. The number, P, of the bacteria is expected to grow according to the differential equation dP over dt equals the product of 0.05 times P and the quantity 1 minus P over 2000, where P t is measured in days. When does the number of bacteria reach 1000?
Answer:
In 59 days, the number of bacteria reaches 1000.
Step-by-step explanation:
Given the data in the question;
by placing 100 spores of the bacteria at the start of the project,
p(0) = 100
dP over dt equals the product of 0.05 times P and the quantity 1 minus P over 2000
dp/dt = 0.05p( 1 - p/200 )
2000dp / p( 2000 - p ) = 0.05dt
[1 / p + 1 / 200-p ]dp = 0.05 dt
Now, we integrate
∫[1 / p + 1 / 200-p ]dp = ∫ 0.05 dt
ln p - ln [2000 - p ] = 0.05 + c'
ln[ p / 2000 - p ] = 0.05 + c'
p / 2000 - p = [tex]e^{0.05t + c'[/tex]
p / 2000 - p = k[tex]e^{0.05t[/tex]
Now, since p(0) = 100, we substitute
100 / (2000 - 100) = k[tex]e^{0.05(0)[/tex]
100 / 1900 = k × [tex]e^{0[/tex]
100 / 1900 = k × 1
k = 1 / 19
Therefore,
p / 2000 - p = k[tex]e^{0.05t[/tex]
p / 2000 - p = (1/19)[tex]e^{0.05t[/tex]
when p( t ) = 1000, then t will be;
1000 / (2000 - 1000) = (1/19)[tex]e^{0.05t[/tex]
1000 / 1000 = (1/19)[tex]e^{0.05t[/tex]
1 = (1/19 ) × [tex]e^{0.05t[/tex]
1/(1/19 ) = [tex]e^{0.05t[/tex]
(1 × 19)/1 = [tex]e^{0.05t[/tex]
[tex]e^{0.05t[/tex] = 19
0.05t = ln( 19 )
0.05t = 2.9444
t = 2.9444 / 0.05
t = 58.888 ≈ 59 days
Therefore, In 59 days, the number of bacteria reaches 1000.
just need help with C would appreciate it
Answer:
85%
Step-by-step explanation:
The students who read less than six magazines would be placed in the intervals: 0-1, 2-3, and 4-5 on the graph. Adding up the total amount in those intervals gives us:
2 + 15 = 17
So, using the answer from b, we can say that 17/20 kids read magazines. Now, we need to convert it into a percent by multiplying by 100:
17/20 *100
17 * 5
85%
A triangle has side lengths of 10 cm, 24 cm, and 34 cm. Classify it as acute, obtuse, or right.
b. right
obtuse
acute
C.
Answer:
Im pretty sure the answer is C
Step-by-step explanation:
Because neither cm lengths are more than a 90 degree angle, but im not 100% sure so can you provide a picture of the problem or is that how it actually showed?
HELP
What is the equation of the trend line in the scatter plot ?
Answer:
y=-x+8
Step-by-step explanation:
Slope = (y₂-y₁)/(x₂-x₁) = (1-8)/(7-0) = -7/7 = -1
Y-intercept = (0,8)
Therefore, the equation of the trend line is y=-x+8
Find the distance between the points (-15, 3) and (-9, 8).
Answer:
61 units
Step-by-step explanation:
i will give Brainiest if you are right
Answer:
d) $7.82
Step-by-step explanation:
just multiply the 2 numbers
Find the measure of the angle indicated
Answer:
50?
Step-by-step explanation:
im not sure please think about it, but I think it might be 50
Find the median value. 1428, 961, 1258, 1324, 1185
The equation of a circle is (x-1)^2 +(y-2)^2=4. What is the center of the circle and what is the radius of the circle?
Answer:
Step-by-step explanation:
(x-1)²+(y-2)² =4 compare the given equation with the general one
(x-h)² +(y-k)² =r², where (h, k) are coordinates of the center and r is radius
so center is at ( 1, 2) and radius is 2
Find the measure of the arc or angle indicated. NO LINKS.
9514 1404 393
Answer:
10. A) 120°
11. D) 40°
12. D) 54°
13. A) 101°
Step-by-step explanation:
The applicable rules of angles and arcs are ...
the whole is the sum of the partsarcs of a circle total 360°an inscribed angle intercepts an arc of twice its measure__
10) Angles C and L intercept the same arc (DE) so will have the same measure.
15x = 16x -4
4 = x . . . . . . . . add 4-15x
arc DE = 2(15x) = 30(4) = 120 . . . degrees
__
11) Arc VW is twice the measure of angle X, so ...
9x +8 = 2(5x)
8 = x . . . . . . . . . subtract 9x
∠VXW = 5x = 5(8) = 40 . . . degrees
__
12) Arc EFG is twice the measure of angle W, so ...
70° +FG = 2(88°)
FG = 106° . . . . . . . . . subtract 70°
Arc FGW is twice the measure of angle E, so ...
106° +GW = 2(80°)
GW = 54° . . . . . . . . . . subtract 106°
__
13) Arc ST is twice the measure of angle R. The sum of arcs is 360°.
RS +ST +TR = 360°
119° +2(70°) +TR = 360°
TR = 101° . . . . . . . . subtract 259°