Answer:
Triangle PQR has right angle R (R = 90 deg).
=> RQ and RP are adjacent sides, PQ is hypotenuse
=> cos Q = QR/PQ
=> Option B is correct
Hope this helps!
:)
The observed rabbit population on an island is given by the function p(t) =-4t^2+80t+1200, where t is the time, in years, since the teachers began observing the rabbits. According to this quadratic function, after how many years will the rabbit population reach its peak
Answer:
The rabbit population will reach its peak after 10 years.
Step-by-step explanation:
Suppose we have a quadratic function in the following format:
[tex]p(t) = at^{2} + bt + c[/tex]
The vertex of the function is the point:
[tex](t_{v}, p(t_{v})[/tex]
In which
[tex]t_{v} = -\frac{b}{2a}[/tex]
If a is negative, the vertex is a peak.
In this question:
[tex]p(t) = -4t^{2} + 80t + 1200[/tex]
So
[tex]a = -4, b = 80, c = 1200[/tex]
According to this quadratic function, after how many years will the rabbit population reach its peak
This is [tex]t_{v}[/tex]
[tex]t_{v} = -\frac{b}{2a} = -\frac{80}{2*(-4)} = 10[/tex]
The rabbit population will reach its peak after 10 years.
round to the nearest tenth 19.95
Answer:
20
Step-by-step explanation:
u have to look at the 9 after the decimal and if it is 5 or above then it goes up
Answer:
20
Step-by-step explanation:
the 9 would move the 19 up to a 20. Hope that this helps you and have a great day :)
Gavin owes the bank $63,000. After 10 years, Gavin owes $93,255. Gavin knows the debt grows with an interest rate that compounds once every year. What is the rate of interest (as a percentage)?
Answer:
1,616.60
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Step-by-step explanation:
Find the slope and the y-intercept, then write the equation for the line in slope intercept form ?
Answer:
Slope: 1/3
Y-Intercept: (0,7)
Equation: y = 1/3x + 7
Step-by-step explanation:
If you find a point on the line, you can find the slope by counting the distance from the y-intercept.
What are the equivalent ratios of 5/8
Answer:
60/96
Step-by-step explanation:
Answer:
10:16 or 2.5:4
Step-by-step explanation:
sorry if i am wrong
what expression is equivalent to 3x - (2x+4) + 5
Answer:
x+1
if it helps let me know by voting
Step-by-step explanation:
Answer:
3x+(-2x-4)+5 would be one of plenty other possibilities, it would help if we knew what x was equal to
Step-by-step explanation:
Junior is using estimating to Find the product of 6752x36 by rounding 6752 to the nearest thousands and 36 to the nearest tens what estimate does junior make
Answer:
7000*40=280000
Step-by-step explanation:6752 rounded to nearest thousands is 7000 and 36 rounded is 40
Answer:
280,000
Step-by-step explanation:
If you answer a question put the number of the question in your answer. Thanks
Answer:
You'll find the answer below each.
Step-by-step explanation:
1-4 you can use this formula: [tex]V=l*h*w[/tex]
1.
[tex]V=l*w*h\\V=(6ft)(4ft)(1ft)\\V=24ft^3[/tex]
2.
[tex]V=l*h*w\\V=(2yd)(\frac{1}{2}yd )(2yd)\\V=2yd^3[/tex]
3.
[tex]V=l*h*w\\V=(12\frac{1}{2}mm)(3mm)(4mm)\\V=150mm^3[/tex]
4.
[tex]V=l*h*w\\V=(2cm)(8.5cm)(2cm)\\V=34cm^3[/tex]
5-7 you need these 2 formulas: [tex]A=\frac{bh}{2}[/tex] and [tex]V=Bh[/tex] or you can use one formula which is: [tex]V=\frac{bh}{2}*h[/tex]
Let me explain. The first formula is for finding the area of the base of the triangle and the second formula is for finding the volume of the prism using the area previously mentioned. The first h is with respect to the triangle and the second h is with respect to the prism.
5.
[tex]V=\frac{bh}{2}*h\\V=\frac{(8in)(6in)}{2}* 18in\\V=\frac{48in^2}{2}*18in\\ V=48in^2*9in\\V=432in^3[/tex]
6.
[tex]V=\frac{bh}{2}*h \\V=\frac{(11m)(5m)}{2}*35m \\V=\frac{55m^2}{2}*35m\\ V=\frac{1925m^3}{2}\\ V=962.50m^3[/tex]
7.
[tex]V=\frac{bh}{2}*h \\V=\frac{(5mm)(8mm)}{2}*12mm\\V=\frac{40mm^2}{2}*12mm\\ V=40mm^2*6mm\\V=240mm^3[/tex]
For the last one, we have a special case.
This formula is a bit odd and long.
[tex]V=\frac{1}{4}h(\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]
a=8yd
b=15yd
c=17yd
h=11yd
[tex]V=\frac{1}{4}(11yd)(\sqrt{-(8yd)^4+2[(8yd)(15yd))]^2+2[(8yd)(17yd)]^2-(15yd)^4+2[(15yd)(17yd)]^2}[/tex][tex]-(17)^4[/tex]
As you can see this is long. I'll just jump to the answer.
Answer: [tex]660yd^3[/tex]
Answer:
He is correct
Step-by-step explanation:
Someone please help me
Answer:
x=6
Step-by-step explanation:
convert the mixed number to a improper fraction..then multiply both sides of the equation by 6...collect like terms..then divide both sides by 37..then you should get your answer...
Two less than four times a number is less than thirty. Which inequality can be used to find the solution?
Answer:
(4×n)-2<30
Step-by-step explanation:
4xn is 4 times a number
two less= -2
LESS THAN 30, is <
The inequality used to find the solution of the given statement is 4x - 2 < 30 to get the solution as x < 8.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given statement is that two less than four times a number is less than thirty.
Let the unknown number be x.
Four times a number is 4x.
Two less than four times a number is 4x - 2.
Two less than four times a number is less than thirty is 4x - 2 < 30.
4x - 2 < 30
Adding both sides with 2,
4x < 32
Dividing both sides by 4,
x < 8
Hence the required solution can be found by solving the inequality 4x - 2 < 30 and the solution is x < 8.
To learn more about Linear Inequalities, click on the link :
https://brainly.com/question/11897796
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The drama club is showing a video of their recent play. The first showing begins at 4:35 p.M. The second showing is scheduled at 7:15 with a 1/2 hour break between the showing.
Answer:
an hour and ten minutes long.
Step-by-step explanation:
How do you find the median of the set of numbers that are not listed in order like 1,2,4,3,5,3,6,7,8
A. Pick the number you see in the middle
B. Start crossing out at each end until you come to a number I’m the ,idle
C. Rewrite the numbers in order from lowest to highest first, then the number in the middle
D. Pick the number that appears most often.
Answer:
C. Rewrite the numbers in order from lowest to highest first, then the number in the middle
Step-by-step explanation:
1,2,3,3,4,5,6,7,8
Median: 4
A 12 sided number cube with the numbers 1 through 12 is rolled.Select from the drop down menu to correctly complete the statement.Rounded to the nearest hundredth, the probability that the number cube lands on a number other than 4 is
Fifty-five percent of doctors at a hospital have prescribed a particular medication. A simulation with 200 random samples of 50 doctors each is shown. Describe how the sample percentages vary.
Answer:
- Mean of sampling distribution = 55%
- Standard deviation of the sampling distribution = 7%
- 68% of the distribution (about 136 of the 200 samples have sample proportions that) lie within 1 standard deviation of the mean, that is, within (55% ± 7%) = (48%, 62%).
- 95% of the distribution (about 190 of the 200 samples have sample proportions that) lie within 2 standard deviations of the mean, that is, within (55% ± 14%) = (41%, 69%).
- 99.7% of the distribution (almost all of the 200 samples have sample proportions that) lie within 3 standard deviations of the mean that is, within (55% ± 21%) = (34%, 76%).
Step-by-step explanation:
Population proportion = 55% = 0.55
Mean proportion of the sampling distribution too = 0.55
For a binomial distribution to approximate a normal distribution,
np ≥ 10
n(1-p) ≥ 10
np(1-p) ≥ 10
Note that n = sample size
p = proportion of medical doctors at the hospital that have prescribed a particular medication.
np = 50 × 0.55 = 27.5 ≥ 10
n(1-p) = 50×0.45 = 22.5 ≥ 10
np(1-p) = 50×0.55×0.45 = 12.375 ≥ 10
Hence, this sampling distribution is approximately normal.
Standard deviation of the sampling distribution is given as
σₓ = √[p(1-p)/n] = √[0.55×0.45/50] = 0.0703562364 = 0.0704 = 7.04% ≈ 7%
The empirical law for normal distributions explains that 68% of the distribution (about 136 of the 200 samples have sample proportions that) lie within 1 standard deviation of the mean, that is, within (55% ± 7%) = (48%, 62%).
95% of the distribution (about 190 of the 200 samples have sample proportions that) lie within 2 standard deviations of the mean, that is, within (55% ± 14%) = (41%, 69%).
99.7% of the distribution (almost all of the 200 samples have sample proportions that) lie within 3 standard deviations of the mean that is, within (55% ± 21%) = (34%, 76%).
Hope this Helps!!!
Answer:
Its correct I took the test!
Step-by-step explanation:
!!
PLEASE HELP ASAP!!!! i'll give brainliest to first answer
Answer:
I'm Pretty sure B, I am not that good at math but i hope i got it correct!
Step-by-step explanation:
Answer:
The answer is B, my darling.
What is the value of x in the equation 3-2x=-1.5x?
оооо
-6
Answer:
x=6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = 6
Step-by-step explanation:
In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).
3 - 2x = -1.5x
(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)
-1.5x = 3 - 2x
First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.
0.5x = 3
For our next part here, let's convert 0.5 to a fraction to make life easier for us.
[tex]\frac{1}{2}[/tex]x = 3
When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!
[tex]\frac{1}{2}[/tex]x · [tex]\frac{2}{1}[/tex] = 1x (or simply x)
What we do to one side we must do to another.
x = 3 · 2
x = 6
Our answer is x = 6. Woo!
Find the mean of the numbers below.
5, 10, 15, 20, 1, 2, 2, 1
Answer:
7
Step-by-step explanation:
used a calculator
A sphere has a radius of 6. Using 3.14 for pi, what is the volume?
Answer:
v= 904.78
Step-by-step explanation:
Answer:
904.77868423386 feet^3
Step-by-step explanation:
Step one the formula is 4/3 Pie R ^3
Step two you do 4/3 x PI x 6^3
Step three do exponents first so 6x6x6=216
Step four multiply 4/3 x 3.14 which equals 4.187
Step four finally you are going to multiply 216 by 4.187 to get 904.77868423386 feet^3
Caleb’s puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarian’s office, what is the percent increase in the puppy’s weight rounded to the nearest whole number? Enter your answer in the box.
Answer:
[tex]73\%[/tex]
Step-by-step explanation:
Given: Present weight of Caleb’s puppy = 2,250 grams
Puppy weighed 600 grams at his last visit to the veterinarian’s office.
To find: percent increase in the puppy’s weight rounded to the nearest whole number
Solution:
Increase in puppy's weight = 2250 - 600 = 1650 grams
Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = [tex]\frac{1650}{2250}(100)=73.33 \%[/tex]
[tex]73.33\%[/tex] is rounded to [tex]73\%[/tex]
I need this done please help in the picture
Answer
7.85
but I not sure JutMon21 know the problem
Answer:
I got 7.85
Step-by-step explanation:
First, I took the center angle which is 90 degrees in this case and divided by 360 and I got 0.25 Then, I multiplied that number by the radius which is 5 and I got 1.25. After that I multiplied 1.25 with 2π and the final answer that I got is 7.85
Find all roots of y=x^3-64
Answer:
x = -4i and x = 4i, also x = 4
Step-by-step explanation:
Rewrite y = x^3-64 as y = x^3 - 64. This can again be rewritten, this time as:
y = (x - 4)(x^2 + 16).
Setting this = to 0, we get x - 4 = 0, whose corresponding root is x = 4, and
x^2 + 16), which has two unequal, imaginary roots: x = -4i and x = 4i.
help me pls working on quizizz :(
here your answer mate
3.25
hope it helps ☺️✌️
Answer:
3.25
Step-by-step explanation:
16/13 = 4/r
16 × r = 13 × 4
16r = 52
r = 52/16 = 3.25
a set of computers that are connected together so that they can share information
Answer:
A computer network
Step-by-step explanation:
The owner of a car wash combines x gallons of a 2% liquid soap and 98% water mix with y gallons of a 7% liquid soap and 93% water mix to make 500 gallons of a 5% liquid soap and 95% water mix. Write a system of linear equations that represent the situation.
PLEASE HELP !!! ASAP
Please help me it’s really important to me
Which transformation of ABC produces the Congruent image DEF?
Please someone answer ASAP
Answer:
Rotate 90° counterclockwise about the origin, then translate 9 units right and 1 unit down.
Step-by-step explanation:
If you use some kind of see through paper like parchment, and trace Triangle ABC and rotate it around the origin 90° counterclockwise, translate 9 units right and 1 down, it should overlap Triangle DEF
The correct sequence of transformations is -
Rotation 90° counterclockwise.Translate 9 units right.Translate 1 unit down.What are triangles?A triangle is a polygon with three edges and three vertices.
Given is a transformation of ΔABC to the Congruent image ΔDEF.
Congruent triangles have both the same shape and the same size.
The statement that correctly matches the transformation is -
Rotation 90° counterclockwise.Translate 9 units right.Translate 1 unit down.Therefore, the correct sequence of transformations is -
Rotation 90° counterclockwise.Translate 9 units right.Translate 1 unit down.To solve more questions on congruent triangles, visit the link below -
brainly.com/question/12413243
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I need help please help
Answer:
a) 60 times
b) 0.24
c) 150 times
Step-by-step explanation:
A farmer sells 6.8 kilograms of apples and pears at the farmer's market. 2 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
weight of pears sold = 4.08 kg
Step-by-step explanation:
total weight of apples and pears = 6.8 kg
2/5 of this weight = apples
this means that if the total weight (6.8 kg) were divided into 5 parts, apples take 2 out of the 5 parts:
∴ weight of apples = 2/5 of total weight
weight of apples 2/5 × 6.8 = 2.72 kg
Therefore apples weigh a total of 2.72 kg
Therefore, since weight of apples + weight of pears = 6.8 kg
2.72 + weight of pears = 6.8
weight of pears = 6.8 - 2.72 = 4.08 kg
So the slope of this question is 1, does that mean I leave it as 1 or change it to 0?
Answer:
Keep it as 1.
Step-by-step explanation:
If it is 0 then there is no slope.