Answer:
32
Step-by-step explanation:
3) A 24 foot wire is attached to an electrical pole. If the pole is 20 feet tall, how
far is the wire sitting from the base of the pole? Round answers to the nearest
tenth of a foot.
9ned
WIRE
SASE
A) 312
B) 133
C) 176
OD) 132
HELLPP PLEASEEE
Answer:
13.3 feet
Step-by-step explanation:
This question can be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length = 20
b = base
c = diagonal = 24
24^2 = 20^2 + b^2
576 = 400 + b^2
b^2 = 176
b = 13.3
which of the following situations could be modeled by an exponential function?
A. The water level of a tank decreases by 5 gallons every day.
B. The amount of money collected by a charity increases by $5,000 each year.
C. A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
D. The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.
Answer: Option D.
Step-by-step explanation:
An exponential function is something like:
f(x) = A*(r)^x
Where:
A = initial amount.
r = rate of growth
x = variable.
This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"
or:
"There is a population of A animals, and it doubles each year"
Let's analyze briefly all the given options and see which one is an exponential function.
A) The water level of a tank decreases by 5 gallons every day.
This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:
y = W - 5 gal*x
B) The amount of money collected by a charity increases by $5,000 each year.
The amount collected increases $5000 each year.
Then if in year 1 they collected A.
in year 2 they collected A + $5000
in year 3 they collected A + 2*$5000
We already can see the pattern, this is a linear relation:
in year X they colected A + (X - 1)*$5000
C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
if y is the height of the tree, and x is the number of years, this can be written as:
y = 10ft + x*2ft
Again, a linear relation.
D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.
Let's define x as each "lapse" of 10 minutes that passes.
If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55
After another 10 minutes, the population decreases again.
N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2
We can see the pattern here, this can be written as
People(x) = N*(0.55)^x
This is an exponential function.
both sum of three consecutive integers is 108 what are the three integers
Answer:
35 , 36 , 37
Step-by-step explanation:
Let the consecutive integers be x, (x + 1) , (x +2)
x + x + 1 + x +2 = 108
x + x + x + 1 + 2 = 108 {Combine like terms}
3x + 3 = 108 {Subtract 3 from both sides}
3x = 108 - 3
3x = 105 {Divide both sides by 3}
x = 105/3
x = 35
The three integers are, 35 , 36 , 37
f(x)=9x+3 find f(5).
Answer:
48
Step-by-step explanation:
f(x)=9x+3
f(5)=9(5)+3
f(5)=45+3
f(5)=48
finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number
Answer:
this is your answer look it once
Select all the values of x that make x + 3 > 5 true.
Answer:
D AND E
Step-by-step explanation:
7/12 minus 1/6 gggggggggggggggggggg
Answer:
[tex] \frac{5}{12} [/tex]
Step-by-step explanation:
[tex] \frac{7}{12} - \frac{1}{6} \\ \\ = \frac{7}{12} - \frac{2}{12} \\ \\ = \frac{7 - 2}{12} \\ \\ = \frac{5}{12} [/tex]
Answer:
0.41666666666
or
5/12
Step-by-step explanation:
HELP HELP PLEASE!! D:
Find the length of the missing side of the trapezoid below:
PLEASE NO CAP!!
Find the distance between (8,5)(-1,3). Round your answer to the nearest tenth.
Answer: 9.2
Step-by-step explanation:
d = sqrt ((x2-x1)^2 (y2-y1)^2)
d = sqrt (85)
d = 9.219544
The value of a bank account, B, after x years is represented by the equation B = 1000(1+.014)x. To the nearest penny, how much is the account worth after 15 years?
Answer:
your mom
Step-by-step explanation:
you mom
Joshua buys a bunch of watermelons for $7.75. He plans on feeding his friends watermelon as a snack, and there will be 15 people to feed. What is the unit price for one serving of watermelon? The unit price for 1 serving of watermelon is (round to the hundredths place):
Answer:
$0.52
Step-by-step explanation:
To find the unit cost of one serving of watermelon, divide the price of the bunch of watermelons by the number of people to be fed
unit price = price of the bunch / total people to be fed
$7.75 / 15 = $0.52
Make the Fraction into a Decimal square route 81 over 100
Answer: 0.9
Step-by-step explanation:
Sqrt 81 is 9
over 10 is 9/10
which is 0.9
As a first step in developing a new drug to treat cancer in humans, an initial study of the drug is undertaken in rats. Three hundred rats with cancer are studied, and each is assigned to one of three treatments. One hundred rats are randomly assigned to a high dose of the new drug, 100 are randomly assigned to a low dose, and 100 are randomly assigned to a control group (no drug). After six months, each rat is examined and classified as having developed no tumors, one tumor, or two or more tumors.Which of the following would be an appropriate alternative hypothesis in this study for a chi-square test for homogeneity of tumor response across treatments?A. Ha :Ha : There is no difference in the distribution of tumor status across the three treatments.B. Ha :Ha : There is a difference in the distribution of tumor status across the three treatments.C. Ha :Ha : There is no association between tumor status and treatment.D. Ha :Ha : There is an association between tumor status and treatment.E. Ha :Ha : The proportion of rats with no tumors is the same for each treatment group.
Solution :
Here, we are interested to study if the treatments have any effect on going tumor or not. Actually, this is model is an ANOVA one way layout with a treatment 'drug'.
In this kind of model or ANOVA model, we take the negative statement as our null hypothesis i.e.,
[tex]$H_0:$[/tex] There is no difference in the distribution of tumors states across the three statements.
Therefore, alternative hypothesis would be :
[tex]$H_a:$[/tex] There is a difference in the distribution of tumor states across the three treatments.
So the correct option is (B).
12x - 6y = 13
8x - 4y = -21
Answer:
24
Step-by-step explanation:
24
. A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. An urban forest has 1,650 large and small trees. Together, these trees remove 1,818 kg of pollution each year. Which system of equations could be used to find the number of large and small trees in the forest?
Answer:
The system of equations are:
s + b = 1650.... Equation 1
0.04s + 1.5b = 1818........ Equation 2
The number of
Small trees = 450 trees
The number of Big trees = 1200 trees
Step-by-step explanation:
From the above question
Small trees = s
Large trees = b
An urban forest has 1,650 large and small trees.
Hence,
s + b = 1650.... Equation 1
s = 1650 -b
A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. Together, these trees remove 1,818 kg of pollution each year.
Hence:
0.04s + 1.5b = 1818........ Equation 2
We substitute 1650 - b for s
0.04(1650 - b) + 1.5b = 1818
66 - 0.04b + 1.5b = 1818
- 0.04b + 1.5b = 1818 - 66
1.46b = 1752
b = 1752 ÷ 1.46
b = 1200 trees
Solving for x
1650 - b = s
s = 1650 - 1200
s = 450 trees
5.) Find the area of the triangle in bold.
Answer:
the answer is 0.98
Step-by-step explanation:
if it not correct plz correct me
Answer:
.975 mi²
Step-by-step explanation:
Hello There!
Formula for area of a triangle [tex]A =\frac{1}{2}bh[/tex]
where b = base and h = height
the dimensions of the triangle shown are b = 1.5 and h = 1.3
given the dimensions all we have to do is plug in the values into the formula
so
[tex]A=\frac{1}{2} 1.3*1.5\\1.3*1.5=1.95\\\\\frac{1.95}{2} =0.975[/tex]
so we can conclude that the area of the triangle is
.975 mi²
What is 934-1?
Please answer the question so it doesn't get taken down but...
I really need a friend rn. So can someone add me on one of these...
Discord: Fraser#6900
Instagrаm: trulyfraser
Thanks :)
Answer:
it's 933
sorry i dont have discord insta.gram or any social media but i can add you on here
(8.4x10^3)-(6.4x10^2)
Write anserr in scientific notation
QUICK QUICK QUICK 7 MINUTE
Answer:
p is the answer!!!!!!!!!!!!!
What is the radius of a circle that has a sector area of 4 pi cm^2 and a central angle of 1pi/2 radians?
a.4
b.5
c.3pi
d.4pi
Answer:4
Step-by-step explanation:
What is the value of x? 6 9 12 15
Answer:
yall its 9 i got it right on the test in edg
Step-by-step explanation:
The value of the variable 'x' in the arithmetic sequence 6, 9, 12, 15, x, .... will be 18.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The sequence is given as,
6, 9, 12, 15, x, .....
The common difference between the succession term remains constant. Then the equation is given as,
15 - 12 = x - 15
Simplify the equation, then we have
15 - 12 = x - 15
3 = x - 15
x = 15 + 3
x = 18
The value of the variable 'x' in the arithmetic sequence 6, 9, 12, 15, x, .... will be 18.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ6
The complete sequence is given below.
6, 9, 12, 15, x, ......
Solve for n. -4(n+5)=8
Answer:
Simplify first:
-4n - 20 = 8
Add 20 to both sides:
-4n = 28
Divide by -4:
Therefore you will get:
n = -7
Answer:
n = -7.
Step-by-step explanation:
-4(n + 5) = 8
-4n - 20 = 8
-4n = 28
n = -7.
At lunch, Allan drank 2 pints of chocolate milk. How many fluid ounces is this equal to? i need answer asap
Answer:
32 pints
Step-by-step explanation:
please and thank you
Answer:
B
Step-by-step explanation:
ABC:
A = 10 degrees
B = 145 degrees
145 + 10 = 165
180 - 165 = 15 degrees
C = 15 degrees
MNP:
M = 145 degrees
N = 15 degrees
P = so therefore, P is 165 degrees
MNP is similar to ABC
I WILL GIVE BRAINLIEST!!!
NO SENDING ME LINKS!!!
Please its really urgent, step by step working out
Answer:
70.99
Step-by-step explanation:
Use Pythagorean Theorem to find the shortest distance.
80^2-50^2=3900
Square rt= 62.44
Subtract by 15
47.44
Next find half of the circular path it is (3.14 x 15)/2
23.55
Add 47.44+23.55=70.99
Hope this is correct
need help ASAP !!!
[tex] \sqrt{88 \times 11 \times 2 \times 4} [/tex]
Answer:
√(88×11×2×4}=√88²=±88 is your answer
Answer:
[tex]±88.[/tex]
Step-by-step explanation:
[tex]= \sqrt{88 \times 88} [/tex]
[tex] = \sqrt{ {88}^{2} } [/tex]
[tex]±88[/tex]
Solve the equation.
2t – 5 = -10
t
Answer: (2t - 5) • (t - 1) - 2 = 0
t=3
Step-by-step explanation:
Please Help ill mark as brainiest
Answer:
Step-by-step explanation:
Price at the end of 1 month = $59 ⋅ 1.03 = $60.77
PLEASE HELP DUE AT MIDNIGHT!
Answer:
60 i think
Step-by-step explanation:
109-180= 71
u=71
71+49=120
120-180=60
109 is on a straight line with an interior angle of a triangle, so 180 - 109 = 71 degrees.
Add two known interior angles (71 + 49) together and you get 120 degrees.
Subtract 120 from 180 (since 180 is the sum of all three interior angles of a triangle) and you get 60 degrees.
Answer: ∠ULE is 60 degrees