Answer:
Age of younger brother is 14 years..
And age if elder brother is 29 years.
Step-by-step explanation:
Let us denote 'x' as the age of smaller brother,
then, the age of younger brother will be x+15 years.
Equation formed:-
x+x+15 =43
2x+15 = 43
2x = 43-15
2x = 28
X = 28/2
X = 14
Age of younger brother is 14 years.
Age of elder brother = x + 15
Age of elder brother 14 + 15 = 29 years.
At which values of x does the function Fx) have a vertical asymptote? Check
all that apply.
F(x) =
2/3x(x - 1)(x + 5)
I A. -1
B. 2
C. 1
D. -5
E. 0
F. 3
9514 1404 393
Answer:
C, D, E
Step-by-step explanation:
Vertical asymptotes are found where the denominator is zero. The denominator will be zero when any of its factors is zero. Then the vertical asymptotes are ...
x = 0 ⇒ x = 0 . . . . . . choice E
x -1 = 0 ⇒ x = 1 . . . . . choice C
x +5 = 0 ⇒ x = -5 . . . choice D
Evaluate 3x ^ 2 + 3x - 9 , when x = 2
A=-3
B=3
C=9
D=27
Answer:
C. 9
Step-by-step explanation:
Start plugging in the number 2
3(2)^2+3(2)-9
6^2+6-9
12+6-9
18-9
9
A cone and a pyramid have equal heights and volumes. If the base area of the pyramid is 154cm^2, find the radius of the cone
Answer:
√154/π
Step-by-step explanation:
thể tích nón = thể tích hình chóp
1/3πr².h=1/3S.h
πr²=154(rút gọn h và 1/3)
=> r=√154/π
The radius of the cone is 7 cm if the cone and a pyramid have equal heights and volumes.
What is a cone?It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.
[tex]\rm V=\pi r^2\dfrac{h}{3}[/tex]
We have:
A cone and a pyramid have equal heights and volumes.
154 = πr²
π = 22/7
r = 7 cm
Thus, the radius of the cone is 7 cm if the cone and a pyramid have equal heights and volumes.
Learn more about the cone here:
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#SPJ2
3(8a - 5b) – 2(a + b); use a = 3 and b = 2
Answer:
32
Step-by-step explanation:
3(8(3)-5(2))-2((3)+(2))
3(24-10) -2(5)
3(14) -10
42-10
32
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{3(8a - 5b) - 2(a + b)}\\\\\huge\textsf{= 3(8(3) - 5(2)) - 2(3 + 2)}\\\\\huge\textsf{= 3(24 - 10) - 2(3 + 2)}\\\\\huge\textsf{= (3)(14) - 2(3 + 2)}\\\\\huge\textsf{= 42 - 2(3 + 2)}\\\\\huge\textsf{= 42 - 2(5)}\\\\\huge\textsf{= 42 - 10}\\\\\huge\textsf{= 32}}[/tex]
[tex]\huge\boxed{\textsf{Answer: 32}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
What is the range of the function in the graph?
Answer:
b=70
Step-by-step explanation:
The range is the value that the output takes
In this graph, the output is constant at 70
The output value is b
b=70
Please help find the probability that x >25.
Answer
The total probability is one:
Total probability of being greater than 25 is 1 because the totals of all values less than 25 is 1.
The sum of 'n' terms of an arithmetic sequence is 4n2+3n. What is the first term, the common difference, and the sequence?
Answer:
Step-by-step explanation:
If the 2 is an exponent, it should be indicated with a circumflex: 4n^2+3n.
What is the first term?
a₁ = S₁ = 4·1² + 3·1 = 7
:::::
What is the common difference?
a₁ + a₂ = S₂ = 4·2² + 3·2 = 22
a₂ = 22-a₁ = 15
common difference d = a₂ - a₁ = 8
:::::
What is the arithmetic sequence?
The nth term is 7+(n-1)d = 7+(n-1)8 = 8n-1.
a₁ = 8·1-1 = 7
a₂ = 8·2-1 = 15
a₃ = 8·3-1 = 23
...
2x³=10 what is x
what is x
Answer:
x=1.7099
Step-by-step explanation:
2x³=10
x³=10/2
x³=5
x=∛5
x=1.7099
A square and a rectangle have the same area. If the dimensions of the rectangle are 4 ft by 16 ft, how long is a side of the square?
Answer:
8
Step-by-step explanation:
4×16=64
[tex] \sqrt{64 } = 8[/tex]
Find 2
x
y у
30°
4√3
OA. 4/2
OB.22
0.8
D.4
Answer:
8
Step-by-step explanation:
The given is a special right triangle with angle measures
90-60-30 and side lengths represented by
2a-a[tex]\sqrt{3}[/tex]-a
x is the side length that sees angle measure 90 degrees so it's represented by 2a
and 4[tex]\sqrt{3}[/tex] is the side length that sees angle measure that sees 60 degrees so the value of a is 4
therefore x = 2*4 = 8
Step 1: Choose the price of the house. Then calculate 20% (which will be your down payment). Write down the price and 20% of the price.
Step 2: You don't have 20% now, so you will use an annuity to save up until you have the 20%. Choose a time in the future (2 years, 3 years, 4 years, 5, 10?) that you will purchase this house. Choose an APR that the bank will give you. Calculate how much you need to deposit every month in order to have the 20% down payment down the road. Write down the numbers of years, the interest rate, the formula with all the numbers plugged in, and the monthly deposits you will need to make.
Step 3: Now you take out a mortgage on the remaining 80%. Choose an APR that the bank will charge you (to be realistic, more than the APR in step 2) and the time you will take to pay off the loan. Write down the formula with all the numbers plugged in, and write down the minimum monthly payments.
Please show me proper work and a step by step explanation on how you got your answers. Anyone who attempts to answer just to steal points will be reported. Btw this is due midnight tonight so I could really use some help with this
9514 1404 393
Answer:
$250,000 house price. $50,000 down payment2 years, 3% from the bank, monthly: $2024.065% APR, 30 years, monthly: 1073.64Step-by-step explanation:
1. House prices vary considerably. In January, 2021, the median US house price was about $269,000, growing at the rate of about 3.2% per year. For the purpose of this problem, we have chosen a slightly lower price of ...
$250,000 . . . selected house price
20% of this price is ...
0.20 × $250,000 = $50,000 . . . amount of down payment
__
2. House prices are growing faster than the interest rate we can get at the bank, so we want to minimize the amount of time we save for a down payment. At the same time, we recognize that saving this amount quickly will put a significant strain on the budget. We choose a period of 2 years, and assume a bank rate on savings of 3%. (US rates in mid-2021 average about 0.04%.) This annuity formula gives the future value of a series of payments:
A = P((1+r/12)^(12t)-1)(12/r) . . . . monthly payment P at annual rate r for t years
Solving for P, we have ...
P = A(r/12)/((1 +r/12)^(12t) -1)
Filling in the chosen numbers, we find we need to save ...
P = $50,000(0.03/12)/(1 +0.03/12)^(12·2) -1) = $50,000(0.0025)/0.06175704
P = $2024.06
$2024.06 needs to be deposited every month for 2 years at 3%.
__
3. The mortgage will be for ...
$250,000 -50,000 = $200,000
We assume we can get an APR of 5% on a 30-year loan. (US rates in mid-2021 are around 3.2%.) The formula for the payment amount is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . principal P at rate r for t years
Filling in the chosen numbers, we find the monthly payment to be ...
A = $200,000(0.05/12)/(1 -(1 +0.05/12)^(-12·30))
= $200,000(0.0041666667)/0.77617340 = $1073.64
The monthly mortgage payment will be $1073.64.
Solve for y.
Z = yn
Answer:
y = z /n
Step-by-step explanation:
Answer:
y=z/n
Step-by-step explanation:
To isolate the y, divide both sides by n
6. Ideal measure of Central tendency and dispersion are:
a. Mean and mean deviation
b. Median and quartile deviation
c. Median and standard deviation
d. Mean and standard deviation
Answer:
median and quartile deviation
Write each rate as a fraction in lowest terms
20 feet in 30 seconds
Answer:
[tex] = { \boxed{ \sf{ \frac{2}{3} }}} \: { \tt{feet/sec }}[/tex]
Answer:
2/3
Step-by-step explanation:
The basic formula is d = r * t. The units are important. Time is usually recorded as seconds. d can be feet or meters in standard form. The formula has to be rearranged to get r by itself.
r = d/ t
d = 20 feet
t = 30 seconds
r = 20 feet / 30 seconds
r = 20 ft/sec
Even though you are told not to enter the units, it is still important to recognize what they are.
11 x 9/10
an explantion would be very nice i start school tomorrow and still havent finished my summer homework.
The product of x and its opposite is always 1.
O True
O False
Answer:
False
Step-by-step explanation:
x
The opposite of x is -x
x* -x = -x^2
This is not always 1
Answer:
false
Step-by-step explanation:
x*-x= - x ² so its not always 1
so I just started using brainly sorry if its not appropriate
please help! thanks!
find y.
Answer:
y = 4
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
1 : √3 : 2
The sides in this triangle are in the order:
y : 4√3 : x
y/1 = 4√3/√3
y = 4
What type of counting problem is this?
Johnny is a very picky eater, so he likes to use a lot of condiments. He has ketchup, salt, pepper, and shredded cheese at his disposal. His mother tells him he may only make two additions to his meal (i.e., he can add condiments only twice, regardless of whether or not he already used them). How many different ways can Johnny improve his meal?
A.Combination with repetition
B.Combination without repetition
C.Permutation with repetition
D.Permutation without repetition
Answer:
option A
Step-by-step explanation:
Permutation is An arrangement of objects in an ORDER
but combination is the opposite.
In this question, There is a combination! I hope this helped! have a great day!Find g(4) and f(g(4))
f(x)=x^2-x+1
g(x)= 3x-5
Answer:
g(4) = 7 and f(g(4)) = 43
Step-by-step explanation:
First find g:
g(x) = 3x-5
g(x) = 3(4) - 5
g(x) = 12 - 5
g(x) = 7
Plug in:
f(g(4))
f(7)
Now, find f:
7^2 - 7 + 1
49 - 7 + 1
42 + 1
f(x) = 43
The line perpendicular to y=3/4x+7 containing (3,-4)
Answer:
y = - [tex]\frac{4}{3}[/tex] x
Step-by-step explanation:
1). [tex]y_{1}[/tex] = [tex]m_{1}[/tex] [tex]x_{1}[/tex] + [tex]b_{1}[/tex]
[tex]y_{2}[/tex] = [tex]m_{2}[/tex] [tex]x_{2}[/tex] + [tex]b_{2}[/tex]
[tex]y_{1}[/tex] ⊥ [tex]y_{2}[/tex] if [tex]m_{2}[/tex] = - [tex]\frac{1}{m_{1} }[/tex]
2). ( [tex]x_{3}[/tex] , [tex]y_{3}[/tex] )
y - [tex]y_{3}[/tex] = m( x - [tex]x_{3}[/tex] )
~~~~~~~~~~~~~~~~~~
y = [tex]\frac{3}{4}[/tex] x + 7
[tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex]
[tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex]
( 3, - 4 )
y - ( - 4) = - [tex]\frac{4}{3}[/tex] ( x - 3 )
y + 4 = - [tex]\frac{4}{3}[/tex] x + 4
y = - [tex]\frac{4}{3}[/tex] x
Chứng minh các hàm số sau là liên tục tại mọi điểm x R
a. f x x ( ) 6 3
b. f x( ) = mx +b
c. Hãy nêu ý nghĩa của hàm liên tục trong kinh tế? Trình bày một vài ví dụ minh
họa?
Answer:
i think its b. f x( ) = mx +b
Step-by-step explanation:
:)
how do you change a hot air baloon descends 200 feet per minute from a altitude of 1000 feet into a algebraic expression.
GIVING BRAINLIEST!!!!! AND ALL POINTS!!!!!!!!!!!!!!!!!!!
A right rectangular prism is packed with cubes of side length fraction 1 over 4 inch. If the prism is packed with 12 cubes along the length, 8 cubes along the width, and 5 cubes along the height, what is the volume of the prism?
fraction 2 and 3 over 4 cubic inches
fraction 3 and 3 over 4 cubic inches
fraction 7 and 1 over 4 cubic inches
fraction 7 and 1 over 2 cubic inches
Answer:
7 and 1 over 2 cubic inches ( 7 1/2 in³
Step-by-step explanation:
The height = 1/4 * 5 = 1 1/4 = 1.25
The width = 1/4 * 8 = 2
The length = 1/4 * 12 = 3
Volume = 1.25 * 2 * 3 = 2.5 * 3 = 7.5
0.5 is represented as 1/2
So answer : fraction 7 and 1 over 2 cubic inches or 7 1/2 in³
if my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. Find the angle of elevation to the shuttle when the height of the shuttle is 300 meters.
Answer:
21.8°
Step-by-step explanation:
tan(θ) = opposite / adjacent
tan(θ) = 300 / 750
θ = arctan(300 / 750)
θ = 21.8°
Answer:
theta=21.8014
Step-by-step explanation:
We want to find theta
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan theta = 300/750
Taking the inverse tan of each side
tan^-1(tan theta) = tan^-1(300/750)
theta=21.8014
The present population of a town is 2024800. It the rate of growth population is 5% per year per year. Find the Increased population in 2years.
Answer:
2232342Step-by-step explanation:
2024800 : 100 * 5 = 101240
2024800 + 101240 = 2126040
2126040 : 100 * 5 = 106302
2126040 + 106302 = 2232342
in the first year, it increases by 5% of the original number, making the population at the end of that year 2 126 040. Then, the second year, it will increase by 5% of 2 126 040. This means that the final product or population after 2 years would be 2232342.
The statistics (U or U') used in the Mann-Whitney U test, measure _________. Group of answer choices the separation between the two groups the direction of the differences between pairs of scores the power of the experiment the differences between the means of the two groups
Statistics U or U' in the Mann-Whitney U test, measure the differences between the means of the two groups
In a test with two groups, the smaller value between the statistics U and U' points to the research hypothesis, while the larger value points to the alternative hypothesis.
The formula to calculate U and U' is:
[tex]U = n_1 \times n_2 + \frac{n_1(n_1+1)}{2} - R_1[/tex]
[tex]U' = n_1 \times n_2 + \frac{n_2(n_2+1)}{2} - R_2[/tex]
Take, for instance;
The values of U and U' in a test where the research hypothesis of two populations are not equal are:
[tex]U = 0[/tex]
[tex]U' = 22[/tex]
Recall that, the smallest of the 2 value supports the research hypothesis.
This means that [tex]U = 0[/tex] shows that the difference in the population is 0.
Read more at:
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solve the equation 7*2=?
Answer:
7*2=14
Step-by-step explanation:
7*2=14 because is multiplication
Answer:
14 because it is multiplication
Find the least whole number that can replace
to make the statement true.
110< =47
Answer:
it is false
Step-by-step explanation:i cant explain but trust
a swift can fly at 160km/h. what is the speed in m/s? show clearly how you worked out your answer.
Answer:
[tex]\huge\boxed{\sf Speed = 44.44 \ m/s}[/tex]
Step-by-step explanation:
Speed = 160 km / hr
To convert km/hr to m/s, we multiply it by [tex]\sf \frac{10}{36}[/tex]
Hence,
[tex]\displaystyle Speed = 160 \times \frac{10}{36} \ m/s\\\\Speed = \frac{1600}{36} \ m/s\\\\Speed = 44.44 \ m/s\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!The mean output of a certain type of amplifier is 335335 watts with a standard deviation of 1212 watts. If 7070 amplifiers are sampled, what is the probability that the mean of the sample would be greater than 338.4338.4 watts
Answer:
.3885 = 38.85%
Step-by-step explanation:
*Probability-Above 38.85%
Z1=0.28 Z2=-27.92
*x-1 338.4
*µ 335
*σ 12
