A helicopter descended 145 m to observe the density of the population during the Centennial celebration
at the Luneta. It leveled off 230 m. what is the original altitude?
Answer:
Original altitude = 375 m
Step-by-step explanation:
Given:
Current height of helicopter = 145 m
New leveled off = 230 m
Find:
Original altitude
Computation:
Original altitude = Current height of helicopter + New leveled off
Original altitude = 145 m + 230 m
Original altitude = 375 m
find each unknown. Double a known fact.
9 x 4=
Answer: 36
Step-by-step explanation:
Two joggers set out at the same time from their homes 24 miles apart. They agree to meet at a point
somewhere in between in an hour and a half. If the rate of one is 6 mph faster than the rate of other,
find the rate of each.
9514 1404 393
Answer:
5 mph, 11 mph
Step-by-step explanation:
Together, they cover 24 miles in 1.5 hours, so their total rate of speed is ...
(24 mi)/(1.5 h) = 16 mi/h
If s is the rate of the slower jogger, then s+6 is the rate of the faster one. Their total speed is ...
s + (s+6) = 16
2s = 10 . . . . . . . subtract 6
s = 5 . . . . . . . . . divide by 2
s+6 = 11
The rates of the joggers are 5 mph and 11 mph.
Answer:
Try reading it over
Step-by-step explanation:
Levi invested $160 in an account paying an interest rate of 3% compounded daily.
Assuming no deposits or withdrawals are made, how much money, to the nearest ten
dollars, would be in the account after 8 years?
What is the answer
Answer:
The amount is $200.00 and the interest is $40.00
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
it was the right answer on delta math
HELP PLEASE!!!
See the image!
Answer:
Step-by-step explanation:
Remark
I don't think the net helps you that much. The yellow diagram shows where the dimensions are.
Givens
L = 5w = 5h = 12Formula
Surface Area = 2*L*w + 2*L*h + 2 * w * h
Solution
Surface Area = 2*5*5 + 2*5*12 + 2*5*12Surface Area = 50 + 120 + 120Surface Area = 290 in^2The price of an item yesterday was $140. Today, the price fell to $42. Find the percentage decrease.
Answer:
Step-by-step explanation:
140-42 = 98
amount of decrease = $98
$98/$140 = 0.7 = 70%
The price decreases by 70%
the cost of an airplane flight increases from $250 to $295.
what is the increase?
Answer:
Step-by-step explanation:
45 dollars is the answer lol this is 2 ez
Answer: 45 is the increase
Step-by-step explanation:
295-250=45
Mr. Hamilton sponsors the creative writing club. He decided to make booklets of his students'
poems and stories to hand out at the school's activity fair. He went to a local printing shop
that charges $0.25 per page in the book and $1.00 to bind the pages together. The booklet
Mr. Hamilton is making has p pages, and he plans to make 50 booklets.
Pick all the expressions that represent how much Mr. Hamilton will spend making the
booklets.
12.50p + 50.00
50(1.25p)
50(0.25p + 1.00)
12.50p + 50.00p
Answer:
50(1.25p) and 50(0.25p + 1.00)
Step-by-step explanation:
They both equal the same answer.
50(1.25p) = 62.5
50(0.25p + 1.00) = 62.5
when in parentheses, you multiply
50 * 1.25 = 62.5
50 * 0.25 + 1.00 = 62.5
The expression for the given scenario is 50(0.25p+1.00). Therefore, option A and C are the correct answers.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, Mr. Hamilton sponsors the creative writing club.
He went to a local printing shop that charges $0.25 per page in the book and $1.00 to bind the pages together.
The booklet Mr. Hamilton is making has p pages, and he plans to make 50 booklets.
So, the expression is 50(0.25p+1.00)
= 12.50p+50.0
Therefore, option A and C are the correct answers.
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A new process of more accurately detecting anaerobic respiration in cells is being tested. The new process is important due to its high accuracy, its lack of extensive experimentation, and the fact that it could be used to identify five different categories of organisms: obligate anaerobes, facultative anaerobes, aerotolerant, microaerophilic, and n anaerobes instead of using a single test for each category. The process claims that it can identify obligate anaerobes with 97.8% accuracy, facultative anaerobes with 98.1% accuracy, aerotolerant with 95.9% accuracy, microaerophiles with 96.5% accuracy, and n anaerobes with 99.2% accuracy. If any category is not present, the process does not signal. Samples are prepared for the calibration of the process and 31% of them contain obligate anaerobes, 27% contain facultative anaerobes, 21% contain microaerophiles, 12% contain nanaerobes, and 9% contain aerotolerant. A test sample is selected randomly.
Required:
a. What is the probability that the process will signal?
b. If the test signals, what is the probability thatmicroaerophiles are present?
Answer:
a) 0.97605 = 97.605% probability that the process will signal.
b) 0.2076 = 20.76% probability that microaerophiles are present.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. What is the probability that the process will signal?
It signals in these following moments:
97.8% of 31%(contains obligate anaerobes).
98.1% of 27%(contains facultative anaerobes).
96.5% of 21%(contains microaerophiles).
99.2% of 12%(contains nanaerobes).
95.9% of 9%(contains aerotolerant). So
[tex]p = 0.978*0.31 + 0.981*0.27 + 0.965*0.21 + 0.992*0.12 + 0.959*0.09 = 0.97605[/tex]
0.97605 = 97.605% probability that the process will signal.
b. If the test signals, what is the probability thatmicroaerophiles are present?
Event A: Test signals
Event B: Contains microaerophiles
0.97605 = 97.605% probability that the process will signal.
This means that [tex]P(A) = 0.97605[/tex]
Intersection of events A and B:
Signals containing microaerophiles, which is 96.5% of 21%. So
[tex]P(A \cap B) = 0.965*0.21 = 0.20265[/tex]
The probability that microaerophiles are present is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.20265}{0.97605} = 0.2076[/tex]
0.2076 = 20.76% probability that microaerophiles are present.
Pat said that the amount of money he has in his pocket is greater than or equal to $5.75 but less than $13.00. Which number line shows the amount of money Pat might have?
The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total cost, we need to know the manufacturer's fixed costs (covering things such as plant maintenance and insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, we multiply the variable cost by the number of items produced during that period and then add the fixed costs.
a. Use a formula to express the total cost C of this manufacturer in a month as a function of the number of widgets produced in a month. Be sure to state the units you use.
b. Express using functional notation the total cost if there are 250 widgets produced in a month, and then calculate that value.
Answer:
(a) C = 9000 + 15N
(b) Cost of 250 widgets is $12750
Step-by-step explanation:
The question has missing details. See attachment for complete question
Solving (a): An expression for total cost.
The expression is generated using:
[tex]Total\ Cost = Fixed\ Cost + Variable\ Cost * Number\ of\ Items[/tex]
From the given parameters:
[tex]Fixed\ Cost = 9000[/tex]
[tex]Variable\ Cost = 15[/tex]
[tex]Number\ of\ Items = N[/tex]
So, the expression becomes:
[tex]C = 9000 + 15 * N[/tex]
[tex]C = 9000 + 15 N[/tex]
Solving (b): Cost of 250 widgets
In this case:
[tex]N =250[/tex]
Substitute 250 for N in [tex]C = 9000 + 15 N[/tex]
[tex]C = 9000 + 15 * 250[/tex]
[tex]C = 9000 + 3750[/tex]
[tex]C = 12750[/tex]
Help Please Math is so stressful
Answer:
A=-6
Step-by-step explanation:
Answer:
B, D, and E
Step-by-step explanation:
Let f(x) = - 4x+2 and g(x) = x2 + 2.
Find (f+g)(x).
Answer:
[tex]x^{2}[/tex]-4x+4
Step-by-step explanation:
How Many Equal Parts Are In 4/5
Answer:
4
Step-by-step explanation:
Image result for how many equal parts are in 4/5
Each equal part is called one-fourth or a quarter of the whole sheet. So, any whole can be divided into four equal parts and each part is one-fourth or a quarter of the whole.
Completely factor the following expression 2 2 - 7x + 12. (1 point)
O (2 + 4) (x - 3)
O (2 - 4) (2+3)
O (+4)(+3)
O (2-4) (
23)
Answer:
(x-4)(x-3)
Step-by-step explanation:
x^2 - 7x + 12
Find what will multiply to make 12 and add to -7
(x - 4)(x - 3)
A restaurant wants to study how well its salads sell. If 10 of the salads sold were salads, how many total salads did the restaurant sell?
Answer:
Um... is this a joke it’s 10
Step-by-step explanation:
Extend the pattern below by four terms write an observation about the pattern pattern 76, 70, 64,58,52
Answer:
46, 30, 24, 18, 12
Step-by-step explanation:
Judith made 4 stacks of wooden blocks. The first stack was 9 blocks tall. The second stack was 5 blocks taller than the first. The third stack was 5 blocks shorter than the second stack, and the last stack was 10 blocks taller than the third stack. How many blocks did Judith use in all?
Answer: the answer is 42
Six copies of the sum of nine fifths and three
Answer: What is the complete question? Can you comment it?
Step-by-step explanation: I can’t help unless I know what the full question is. Sorry.
If y varies inversely with x, and y = 48 when x = 6, find y when x = 18.
Answer:
y = 16
Step-by-step explanation:
Given that,
y varies inversely with x i.e.
[tex]y=\dfrac{k}{x}[/tex]
Where
k is a constant of proportionality
Put y = 48 and x = 6 in the above equation to find k.
So,
[tex]k=48\times 6\\\\k=288[/tex]
Now put k = 288 and x = 18 in the above equation to find y.
[tex]y=\dfrac{288}{18}\\\\y=16[/tex]
So, the value of y is equal to 16 when x = 18.
Answer:
16
Step-by-step explanation:
graph the function. Then State the domain and range. Also increasing and decreasing
Answer:
See below, I will let graphing part to yourself.
Step-by-step explanation:
First function: domain: [tex][-9,\infty)[/tex], range: [tex](-\infty, -2][/tex], decreasing
Second function: domain: [tex](-\infty, \infty)[/tex], range: [tex](-\infty, \infty)[/tex], increasing
Third function: domain: [tex][3, \infty)[/tex], range: [tex][-5,\infty)[/tex], increasing
Answer:
First function: domain: [-9,\infty)[−9,∞) , range: (-\infty, -2](−∞,−2] , decreasing
Second function: domain: (-\infty, \infty)(−∞,∞) , range: (-\infty, \infty)(−∞,∞) , increasing
Third function: domain: [3, \infty)[3,∞) , range: [-5,\infty)[−5,∞) , increasing
The answer to my question that is all I want to know!!
Answer:
118.71$
Step-by-step explanation:
Find the volume of the Triangular Prism
Volume
Answer:
Volume = 144 m³
Step-by-step explanation:
Volume of triangular prism = ½*b*h*l
Where,
Base of triangular base (b) = 4 m
Height of triangular base (h) = 12 m
Length of prism (l) = 6 m
Volume = ½*4*12*6
Volume = 2*12*6 = 144 m³
Answer:
144cm3 is the right answer
Step-by-step explanation:
Oooooooooooooooooofffffffffffffffffffff
HELP PLS its advanced pre algebra grade 7
Answer:
x=4
Step-by-step explanation:
3/4(x+8)=9
simplify
3/4x+6=9
-6 -6
3/4x=3
multiply 4
3x=12
divide 3
x=4
Three friends Steve, Jake and Jodie shared a pizza. Steve ate 2/5 of the pizza and Jake ate 1/4
What fraction did Jodie eat?
Answer:
they ate it all together as it all adds to 1
Step-by-step explanation:
1/4+2/5 if you add the missing remainder it totals 1
2. ABCD is a square and P, Q are the midpoints of BC,CD respectively. If AP = a
and AQ = b. find in terms of a and b the directed line segments (i) AB (ii) AD
(iii) BD and (iv) AC.
Answer:
The answer is below
Step-by-step explanation:
A square is a quadrilateral (four sides and angles). All the sides and angles of a square are equal. Each angle of a square is 90° and the diagonals are equal.
In square ABCD:
AB = BC = CD = AC (all the sides of a square are equal)
Given that P is the midpoint of BC and Q is the midpoint of CD. AP = a and AQ = b.
a) Triangle APB is a right angled triangle:
BC = AB (all sides of a triangle are equal)
PB = 1/2 (BC) = 1/2(AB) = 0.5AB
Using Pythagoras theorem:
AB² + PB² = AP²
substituting:
AB² + (0.5AB)² = a²
AB² + 0.25AB² = a²
1.25AB² = a²
AB² = 0.8a²
AB = a√0.8
b) Triangle AQD is a right angled triangle:
AD = DC (all sides of a triangle are equal)
DQ = 1/2 (DC) = 1/2(AD) = 0.5AD
Using Pythagoras theorem:
AD² + DQ² = AQ²
substituting:
AD² + (0.5AD)² = b²
AD² + 0.25AD² = b²
1.25AD² = b²
AD² = 0.8b²
AD = b√0.8
c) In right triangle ADB, Using Pythagoras theorem:
AB² + AD² = BD²
But AB = AD
Substituting:
0.8a² + 0.8b² = BD²
BD = √(0.8a² + 0.8b²)
But AD = AB, hence 0.8a² = 0.8b²
BD = √(1.6a²)
BD = a√1.6
D) AC = AD (diagonals of a square are equal)
AC = √(0.8a² + 0.8b²)
AC = √(1.6b²) = b√1.6
Jason had 141 dollars to spend on 8 books. After buying them he had 13 dollars. How much did each book cost ?
Answer:
Each book cost $16
Step-by-step explanation:
Step 1: Subtract $13 from 141 to get 128
Step 2: Divide 8 by 128 to get 16
Each book cost $16
Hope this helps
pls mark brainliest!
If the root of x2-7x+k=0, m=1, find the value of the constant k
Answer:
hfrhghubifhvfuovhtjopugjob
Step-by-step explanation:
The height of a standard coffee cup
would be about
7 meters
B
7 kilometers
7 centimeters
D
7 millimeters
Answer:
7 centimeters
Step-by-step explanation:
Standard size of a coffee cup is 7 centimeters
7 meters is too big
7 kilometers is bigger than 7 meter
7 millimeters is too small
Jenna has a rectangular pig pen that measures 8m wide by 10m long. She wants to increase the area to 168 m^2 by increasing the length and width by the same amount. What would you enter into desmos to represent the equation?
A) x^2 + 18x – 88
B) x^2 + 10x + 80
C) (8x)(10x)-168
D) None of the above
Answer:
The answer is A
Step-by-step explanation:
I just took the test and it was the answer!
The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.
The correct option is (A).
What is Surface Area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement.
As per the given data:
The dimensions for the pig pen Jenna has is given.
The area of the pig pen is to be increased to 168 m² by increasing the length and width by the same amount.
Length of the rectangular pig pen = 10 m
Width of the rectangular pig pen = 8 m
Now, let's say that the length and width of the pig pen is increased by x m.
length = 10 + x
width = 8 + x
The expression for the area of the pig pen will be:
Area = length × width
168 = [10 + x][8 + x]
168 = 80 + 10x + 8x + x²
x² + 18x - 88 = 0
The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.
Hence, The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.
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