Answer:
A.) Henry
B.) Thomas
Step-by-step explanation:
Given the following :
Henry's elevation = 10feets relative to sea level
Thomas elevation = -12 1/2 that is (-25/2) feet relative to sea level
Person with greater elevation:
Elevation can be described as height, in this case, the sea level used as the reference point. Therefore, a positive distance denotes an elevation above the reference point (which is the sea level). Therefore, Henry has a greater elevation of 10 feet( a distance above 0).
B) Who is farther from sea level:
This can be calculated by comparing the absolute distance between the elevation of both Henry and Thomas relative to the reference point(sea level)
Take reference point as 0
Absolute distances relative to sea level:
Henry's distance | 10 - 0 | = 10
Thomas's distance | -(25/2)- 0 | = 12 1/2
Answer:
A then B
Step-by-step explanation:
Sandy was given this function. f(x)=3x2−24+1/3 She used the method of completing the square to rewrite the function. In this second step of her process, r and s are real numbers. f(x)=3(x2−8x+r)+1/3+s What are the values of r and s? Enter your answers in the boxes.
Answer:
[tex]r = 16[/tex], [tex]s = -48[/tex]
Step-by-step explanation:
The values of [tex]r[/tex] and [tex]s[/tex] can be found with the help of algebraic manipulation on the second-order polynomial described on statement:
[tex]f(x) = 3\cdot x^{2} - 24\cdot x + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2} - 8\cdot x) + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2} - 8\cdot x + 16 - 16) + \frac{1}{3}[/tex]
[tex]f(x) = 3\cdot (x^{2}-8\cdot x + 16) + \frac{1}{3} - 48[/tex]
By comparing each expression, the results are presented below:
[tex]r = 16[/tex], [tex]s = -48[/tex]
State the slope and y-intercept of the graph of the equation y = 3x + 2
The slope is _________.
The y-intercept is ____________-
100 POINTS!!!!!! the following stem and leaf plot shows the number of hours that mrs. dixon's students spent on their pre calc work last week. what is the mean absolute deviation for the data
Answer:
11.2467
Step-by-step explanation:
First we need to find the mean
Add up all the data and divide by number of points)
(6+7+8+10+12+13+14+17+17+17+18+19+21+23+24+24+25+27+31+31+32+36+36+39+41+45+45+46+49+50)/30
261/10
26.1
Then to find the mean absolute deviation take each value and find the absolute value from the mean and sum it and then divide by the number of points
((26.1 -6)+(26.1-7)+(26.1-8)+(26.1-10)+(26.1-12)+(26.1-13)+(26.1-14)+(26.1-17)+(26.1-17)+(26.1-17)+(26.1-18)+(26.1-19)+(26.1-21)+(26.1-23)+(26.1-24)+(26.1-24)+(26.1-25)+(27-26.1)+(31-26.1)+(31-26.1)+(32-26.1)+(36-26.1)+(36-26.1)+(39-26.1)+(41-26.1)+(45-26.1)+(45-26.1)+(46-26.1)+(49-26.1)+(50-26.1))/30
11.2467
Answer:
11 16/75
Step-by-step explanation:
Find the mean: sum/n
783/30
26.1
Find individual |x - 26.1| and add them:
|6-26.1| + |7-26.1| + ...... + |50-26.1|
= 20.1 + 19.1 + .... + 23.9
= 336.4
M.A.D = 336.4/30
11 16/75
i need the missing blanks .
Answer:
K, (-3.5,-5), E, (3.5, 3)
Step-by-step explanation:
Which reason best describes why you can divide any number by 10 by moving the decimal point one place to the left?
1.Dividing a number by 10 is the same as subtracting the number ten times.
2. Dividing by 10 is the same as removing a zero.
3. Moving the decimal point left makes the number smaller.
4. Moving the decimal point one place to the left makes the number 1/10 of its original value.
4 is the answer
The next best is 3
please help quickly !
Answer:
75-52.5 =x
Step-by-step explanation:
We know that the total amount they eat is 75
They eat 52.5 is acacia leaves. The rest is other types of leaves
75 - 52.5 = other types of leaves
75-52.5 =x
2x² - x-6=0 resuelve
Answer:
x = -3/2 x=2
Step-by-step explanation:
2x² - x-6=0
Factor
(2x ) (x ) =0
6 = 2*3
2*-2 +3 = -1
(2x +3 ) (x -2 ) =0
2x+3 =0 x-2 =0
2x = -3 x=2
x = -3/2 x=2
The function f(x)=200/x + 10 models the cost per student of a field trip when x students go on the trip. How is the parent function f(x)=1/x transformed to create the function f(x)=200/x + 10
Answer:
Step-by-step explanation:
We need to explain the transformations applied to 1/x to get f(x). We get f by following the following steps.
1. Multiply 1/x by 200 to get the function 200/x. This represents taking the graph of 1/x and expanding it vertically by a factor of 200.
2. Sum 10 units to 200/x. This represents a vertical shift of 10 units to the graph of 200/x.
Find the surface area of a right cone that has a diameter of 11.2 feet and a height of 9.2 feet. Round your answer to the nearest hundredth.
Answer:
S=288ft^2
Step-by-step explanation:
d=11.2ft, h=9.2ft
r=d/2=11.2/2=5.6
e=√r^2+h^2=√5.6^2+9.2^2
e=10.77ft
s=πr^2+πre
s=π(5.6)^2+π(5.6) (10.77)
s=91.67π
s≈288ft^2
If the slant height of the cone is 10.77 feet and the radius of the base circle is 5.6 feet. Then the surface area of the cone is 189.48 square feet.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The height of the cone is 9.2 feet and the diameter is 11.2 feet. Then the radius will be
r = d/2
r = 11.2/2
r = 5.6
Then the slant height of the cone will be
[tex]l = \sqrt{5.6^2 + 9.2}\\\\l = 10.77 \ \rm ft[/tex]
Then the surface area of the cone will be
[tex]\rm Surface \ area = \pi rl\\\\Surface \ area = \pi \times 5.6 \times 10.77\\\\Surface \ area = 189.48 \ ft^2[/tex]
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
What type of sequence is 0,12,24,36,48 geometric or arithmetic?
Answer:
Arithmetic
Step-by-step explanation:
Since each number is 12 larger than the last, this is an arithmetic sequence. A geometric sequence is one in which each next number in the sequence is the previous one multiplied by a certain set coefficient, while in an arithmetic sequence it's a certain number added. Hope this helps!
Answer:
It is arithmetic because to get from one term to the next, you add 12, and in an arithmetic sequence, you add/subtract a common difference to get from one term to the next. Hope this helps!
Humberto deposited $50 in a new account at his bank. The bank pays 5.3% annual simple interest on this account. Humberto makes no additional deposits or withdrawals. How much money will be in his account at the end of 5.5 years?
Answer:
$58.415
Step-by-step explanation:
Initial value: 50 dollars
Independent variable: 5.3%
Dependent variable: Y
This equation can be written in slope intercept form:
[tex]y=mx+b[/tex]
[tex]y= 1.53x+50[/tex]
x= the number of years
[tex]y= 1.53(5.5)+50[/tex]
[tex]y=8.415+ 50[/tex]
[tex]y= 58.415[/tex]
A sample space consists of 80 separate events that are equally likely. What is the probability of each? A sample space consists of 80 separate events that are equally likely. What is the probability of each?
Answer:
1/80
Step-by-step explanation:
The probability of selecting each of the event in the sample space is; 1/80
How to Find the Probability?We are given;
Sample Space = 80 separate events
Now, we are told that each event is equally likely to be selected.
Thus;
Probability of selecting each event = 1/80
Read more about Probability at; https://brainly.com/question/251701
#SPJ2
If the point (a,1) lies on the line y = 3x - 5, what is the value of a?
Answer:
a = 2
Step-by-step explanation:
Note that a point uses (x , y).
y = 1
x = a
Plug in 1 for y in the equation, and a for x:
y = 3x - 5
1 = 3a - 5
Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First add 5 to both sides:
1 (+5) = 3a - 5 (+5)
1 + 5 = 3a
6 = 3a
Next, divide 3 from both sides:
(6)/3 = (3a)/3
a = 6/3
a = 2
2 is your value for a.
~
3x-2y=2 in slope intercept form
Answer:
y= - 3/2x + 1
Which is the correct way to model the equation-+8 = 7x+(-8) using algebra tiles?
1 positive x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 positive unit tiles on the right side
8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
8 positive x-tiles and 1 negative unit tile on the left side; 8 negative X-tiles and 7 positive unit tiles on the right side
VX
Answer:
Step-by-step explanation:
1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
Answer:
the answer is c
Step-by-step explanation:
two integers that multiply to 18 and add to -11
Answer:
-9 and 2
Step-by-step explanation:
The line plot shows the number of bags of grapes,grouped by weight, to the nearest 1/8 pound. How many bags of grapes had a weight of 3/8 pound or less
Answer:
2.25 pounds
Step-by-step explanation:
The diagram showing the weight of bags with grapes is shown in the attached file below.
From the diagram; number of bags of grapes that had a weight of [tex]\dfrac{3}{8}[/tex] pounds or less is:
[tex]\dfrac{3}{8}[/tex] pounds = 3
[tex]\dfrac{1}{4}[/tex] pounds = 4
[tex]\dfrac{1}{8}[/tex] pounds = 1
Thus; the total is = 3+4+1 = 8
However, The total weight of the grapes in the bag that had a weight of [tex]\dfrac{3}{8}[/tex] pounds or less is :
= [tex]\dfrac{3}{8}(3) + \dfrac{1}{4}(4) + \dfrac{1}{8}(1)[/tex]
= [tex]\dfrac{9}{8} + 1 + \dfrac{1}{8}[/tex]
= [tex]\dfrac{9+8+1}{8}[/tex]
= [tex]\dfrac{18}{8}[/tex]
= 2.25 pounds
The probability that Shruti succeeds at any given free-throw is 80%, percent. She was curious how many free-throws she can expect to succeed in a sample of 12 free-throws.
She simulated 25 samples of 12 free-throws where each free-throw had a 0.8, point, 8 probability of being a success.
Shruti counted how many free-throws were successes in each simulated sample. Here are her results:
Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
Give your answer as either a fraction or a decimal.
Answer:
0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either she makes it, or she does not. The probability of making a free throw is independent of other free throws. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that Shruti succeeds at any given free-throw is 80%, percent.
This means that [tex]p = 0.8[/tex]
Sample of 12 free throws:
This means that [tex]n = 12[/tex]
Use her results to estimate the probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{12,10}.(0.8)^{10}.(0.2)^{2} = 0.2835[/tex]
[tex]P(X = 11) = C_{12,11}.(0.8)^{11}.(0.2)^{1} = 0.2062[/tex]
[tex]P(X = 12) = C_{12,12}.(0.8)^{12}.(0.2)^{0} = 0.0687[/tex]
[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) = 0.2835 + 0.2062 + 0.0687 = 0.5584[/tex]
0.5584 probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.
Answer:0.8
Step-by-step explanation:in 5 of the 25 stimulated trials, scrutiny continued federal than 10 successes
You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?
Answer:
$5,368,709.12
Step-by-step explanation:
Kono Dio Da!!
Answer:
5368709.12
Step-by-step explanation:
i just did this earlier
A company is designing a new cylindrical water bottle. The volume of the bottle will be 187 cmcubed. The height of the water bottle is 7.3 cm. What is the radius of the water bottle? Use 3.14 for pi.
Answer:
2.86cm
Step-by-step explanation:
Step 1:
Data obtained from the question. This includes the following:
Volume (V) = 187cm3
Height (h) = 7.3cm
Pi (π) = 3.14
Radius (r) =..?
Step 2:
Determination of the radius of the cylindrical water bottle.
The radius of the cylindrical water bottle can be obtained as follow:
V = πr^2h
187 = 3.14 x r^2 x 7.3
Divide both side by 3.14 x 7.3
r^2 = 187 / (3.14 x 7.3)
Take the square root of both side
r = √[187 / (3.14 x 7.3)]
r = 2.86cm
Therefore, the radius of the cylindrical water bottle is 2.86cm
Find the smallest number to be Find the smallest number to be added to 2345 to get the nearest perfect square.
Answer:
48^2 =2304 < 2345 < 2401 = 49^2
=> Smallest number should be: 2401 - 2345 = 56
Hope this helps!
:)
Answer:
56
Step-by-step explanation:
sqrt(2345) = 48.425...
Nearest integer is 49
So, the nearest perfect is 49²
49² = 2401
To be added:
2401 - 2345
56
Mark has invested $300 at age 16 into a money market account earning 6%. How many times will Mark's investment double before age 52? What will his investment be worth? What would Mark's investment be if he had invested at age 28?
Answer:
A.3times
B.$1214.68
Step-by-step Explanation
A
Using compound interest formula
A=P(1+I)^n
A is the amount
P is the principal=$300
I is the interest=0.06
n is the time ( between 52 and 16years)=36years
A=300(1+0.06)^36
A=$2444.175
Which means 300 would have become
$2444.175 which is 8 folds.
That means it would have doubled 3times(2×2×2) at age of 52.
B. The time would change to (52-28)=24
Using compound interest formula
A=300(1+0.06)^24
A=$1214.68
Therefore his investment would have been $1214.68.
Isaiah was given a gift card for a coffee shop. Each morning, Isaiah uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and after buying 16 cups of coffee, the card had a $5 remaining balance. Write an equation for A(x),A(x), representing the amount money remaining on the card after buying xx cups of coffee.
Answer:
$45-$2.50xx
Step-by-step explanation:
Let first of all determine the original amount on the gift card as follows
amount utilized=$2.50*16=$40
balance left after utilizing $40=$5
original amount on the gift card=amount utilized+balance left=$40+$5=$45
if xx cups of coffee is purchased ,the amount utilized would be xx*$2.50
i.e $2.50xx
The equation for the amount left would total amount on the gift card minus the $2.50xx
equation for amount remaining =$45-$2.50xx
If the questioner has duplicated x,which means he or she meant just x
equation of the amount remaining would=$45-$2.50x
how do you write 2x - 2y = 8 in slope-intercept form ?
Answer:
y=x-4
Step-by-step explanation:
The general scaffold for the slope intercept form is y=mx+b, where m is the slope and b is the y intercept. You can rearrange the equation that you are given like this:
2x-2y=8
-2y=-2x+8
y=x-4
Hope this helps!
Answer:
Rearrange the equation so that it is written in slope intercept form:
y=mx+b.
2x+2y=8.
2y=−2x+8.
y=−x+4.
Find the exact value of sin 300°.
Answer:
-0.86602540378 or -√3/2
What is the mean and median of 25,50,58,54,55
Answer:
median = 58
mean= 48.4
Step-by-step explanation:
to find the mean you add all of the numbers and divide it by 5 in this case
Reduce the following mixed number 2 2/8
Answer:
2 1/4
Step-by-step explanation:
2 2/8
The top and bottom of the fraction can be divided by 2
2 1/4
if anyone know probability stuff pls help w this!!
Answer:
A - 9/34
B - 7/34
Step-by-step explanation:
A girl grabs a lollipop - 9/34 (Event A)
A boy grabs a fruit chew - 7/34 (Event B)
Because there are 34 possibilities in total....
Thanks!
What is 13 - 4 x = 1 - x?
Answer:
x=4
Step-by-step explanation
Answer:
x = 4
Explanation:
easy geometric shapes question!
Answer:
Cylinder
Step-by-step explanation:
The given geometric shape is of a cylinder.
Answer:
Cylinder
Step-by-step explanation:
The shape will make a cylinder if put together.
