simplify the expression
5(m+1) -1 =
Answer:
We would distribute the 5,
5(m+1) - 1 = 5m + 5 - 1
5m + 4
Step-by-step explanation:
DUE BEFORE 11 PM
USING THE LAW OF SINES SOLVE
Answer:
I round it to the whole number and degree.
<A = 33°
<C = 97°
C = 63
Step-by-step explanation:
Law of Sine: [tex]\frac{sinA}{A} =\frac{sinB}{B}= \frac{sin C}{C}[/tex]
[tex]\frac{sin(A)}{A} =\frac{sin(B)}{B}\\\frac{sin(A)}{104} =\frac{sin(50)}{49} \\\\sin(A)=\frac{104*sin(50)}{49}[/tex]
A = sin^-1 (104*sin(50)/49)
A = 33°
180° - <B - <A = <C
180° - 50° - 33° = 97°
[tex]\frac{sin(B)}{B}=\frac{sin(C)}{C} \\\\C =\frac{Bsin(C)}{sin(B)}\\\\C=\frac{104sin(97)}{sin(50)}\\\\C = 63[/tex]
This rectangular prism has a length of 14 inches, a height of 8 inches, and a width of 3 inches. What is the volume
height= 8 in
length= 14 in
width= 3 in
to find:the volume of the given rectangular prism.
solution:[tex]v = whl[/tex]
[tex]v = 8 \times 14 \times 3[/tex]
[tex]v = 336 \: {in}^{3} [/tex]
hence, the volume of the given rectangular prism is 336 cubic inches.
answer= option D
[tex]\large\boxed{Formula: V= lbh}[/tex]
All the values are given so we'll simply have to solve.
Let's solve!
Substitute the values according to the formula.
We'll have to multiply the length, breadth and the height.
[tex]V= 14 \times 3 \times 8[/tex]
[tex]\large\boxed{V= 336 \: {in}^{3}}[/tex]
We get a whole number to the final answer so we won't have to round off.
Therefore, the volume of the given rectangular prism is 336 cubic inches.
Correct option: Option D
help please I'm confused
Answer:
Milena level tro bau bola ehh
Answer:
1.3 < x < 6.7
Step-by-step explanation:
The property of triangles is that the length of the third side must be less than the sum of the lengths of the other 2 sides.
Minimum value : Taking 4.0 to be the 3rd side.
2.7 + x > 4.0x > 1.3Maximum value : Taking x to be the 3rd side
2.7 + 4.0 > xx < 6.7Range
1.3 < x < 6.7Audrey deposited $80 in an account earning 10% interest compounded annually.
To the nearest cent, how much will she have in 3 year Use the formula 8-p(1 + r), where B is the balance (final amount) p is the principal (starting amour.), ris the interest rate expressed as a decimal, and t is the time in years.
$?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$80\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=80\left(1+\frac{0.10}{1}\right)^{1\cdot 3}\implies A=80(1.1)^3\implies A=106.48[/tex]
Please help me with this problem
Answer:
1516
Step-by-step explanation:
hope can help you
2000x 2%=40
9000x 5%= 450
(30000-9000-2000) x 5.4% = 1026
total tas 40+450+1026=
Please help me slove this i really need the answer
Please help me do this mathematics question experts
[tex]\textbf{(i)}\\\\~~~~~~~y= e^{3x} \sin 2x\\\\\\\implies \dfrac{dy}{dx} = \dfrac{d}{dx} \left( e^{3x} \sin 2x \right)\\\\\\~~~~~~~~~~~~=e^{3x} \dfrac{d}{dx} \sin 2x + \sin 2x \dfrac{d}{dx} e^{3x}\\\\\\~~~~~~~~~~~~=2e^{3x} \cos 2x + 3e^{3x}\sin 2x \\\\\\[/tex]
[tex]\textbf{(ii)}\\\\~~~~~~~~y = \dfrac{e^{3x}}{\cos 2x}\\\\\\\implies \dfrac{dy}{dx} = \dfrac d{dx} \left(\dfrac{e^{3x}}{\cos 2x} \right)\\\\\\~~~~~~~~~~~=\dfrac{\cos 2x \dfrac{d}{dx}\left(e^{3x} \right) -e^{3x} \dfrac{d}{dx}( \cos 2x) }{\cos^2 (2x)}\\\\\\~~~~~~~~~~~=\dfrac{3e^{3x} \cos 2x+2e^{3x}\sin2x }{\cos^2(2x)}\\\\\\~~~~~~~~~~~=\dfrac{3e^{3x} \cos 2x}{ \cos^2(2x)} + \dfrac{2e^{3x} \sin 2x}{\cos^2(2x)}\\\\\\~~~~~~~~~~~=3e^{3x}\sec (2x) + 2e^{3x}\sec (2x) \tan (2x)[/tex]
[tex]\textbf{(iii)}\\\\~~~~~~~~~y=( 3x+2)^3\\\\\\\implies \dfrac{dy}{dx} = \dfrac{d}{dx}(3x+2)^3\\\\\\~~~~~~~~~~~=3(3x+2)^2 \dfrac{d}{dx} (3x+2)\\\\\\~~~~~~~~~~~=3(3x+2)^2 \cdot 3\\\\\\~~~~~~~~~~~=9(3x+2)^2[/tex]
[tex]\textbf{(iv)}\\\\~~~~~~~~~x^2 +y^2 = 5xy\\\\\\\implies \dfrac{d}{dx}(x^2 +y^2) = 5\dfrac{d}{dx} (xy)\\\\\\\implies 2x + 2y \dfrac{dy}{dx} = 5\left(x \dfrac{dy}{dx} +y\right)\\ \\\\\implies 2x +2y \dfrac{dy}{dx} = 5x \dfrac{dy}{dx} +5y\\\\\\\implies 2y \dfrac{dy}{dx} - 5x \dfrac{dy}{dx} = 5y-2x\\\\\\\implies (2y-5x) \dfrac{dy}{dx} = 5y-2x\\\\\\\implies \dfrac{dy}{dx} = \dfrac{5y-2x}{2y-5x}[/tex]
You invested money in two funds. Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $858. This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $867. How much money did you invest in each fund?
The amount that was invested in the first fund is $8300.
The amount that was invested in the second fund is 3700.
What are the linear equations that represent the question?0.09a + 0.03b = $858 equation 1
0.1a + 0.01b = $867 equation 2
Where:
a = amount invested in the first fund b = amount invested in the second fund How much was invested in the second fund?Multiply equation 2 by 0.9:
0.09a + 0.009b = 780.30 equation 3
Subtract equation 1 from equation 3
0.021b = 77.70
Divide both sides by 0.021
b = $3700
How much was invested in the first fund?
Substitute for b in equation 1: 0.09a + 0.03(3700) = $858
0.09a + 111 = 858
a = (858 - 111) / 0.09
a = $8300
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
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I need help with number 35
Answer:
144
Explanation:
In a regular polygon all angles and sides are equal. to find out to what all the angles add up to you take the number of sides subtract 1 and multiply by 180.
(10-2)*180=1440
1440/10=144
find the length of a diagonal of a square whose side is 2 cm
Answer:
2√2 cm
Step-by-step explanation:
Formula to be understood :
Diagonal of a square = Side length√2Deriving the formula :
Apply Pythagorean Theorem by taking the side lengths as altitudes and the diagonal as a hypotenuseside length² + side length² = hypotenuse²2(side length)² = hypotenuse²hypotenuse = side length√2Solving for the length of the diagonal :
diagonal = 2√2 cmLength of diagonal
side√2a√22√2cm(1-6i)-(3-4i)
please solve this perblom
Answer:
-2 - 2i
Step-by-step explanation:
open the bracket
1 - 6i - 3 + 4i
1 - 3 + 4i - 6i
-2 - 2i
Answer:
-2 - 2i
Step-by-step explanation:
Complex numberAdd the real numbers (1 and (-3) ) and add the complex numbers [ 4i and (-6i) ]
(1 - 6i) - ( 3 - 4i) = 1 - 6i - 3 + 4i
= 1 -3 - 6i + 4i
= -2 - 2i
We have to open the brackets. To do that Multiply (-1) with (-3) & 4i. Now, complex numbers are (-6i) and 4i. So combine them. 6i and 4i have different signs. So, subtract and the result will have bigger number sign. Here the bigger number sign is negative. So, -6i + 4 i = -2iNow combine real numbers. 1 - 3 = -2The volume of a cone of height hand base radius r is given by:
The volume of a cone is calculated using the formula [tex](\frac{1}{3} )r^2h[/tex], where "h" is the cone's height and "r" is the radius of the base.
Answer:
The formula for the volume of a cone is (1/3)πr2h, where, "h" is the height of the cone, and "r" is the radius of the base.
Step-by-step explanation:
hope it helps you :)
Find p(7).
help please
Answer:
B) 1/8Step-by-step explanation:
GivenA spinner with 8 sections;Each section has one of the numbers 1 through 8.The probability of each number is same:
P(n) = 1/8, where n- any number between 1 and 8.So P(7) is also 1/8.
Correct choice is B
two numbers are in the ratio of 10:16 if the sum of numbers is 572 find the numbers.
with steps
Answer:
yo dude dont be upset im doing what you did lol!
The present shown below is a cube. Find the surface area.
Answer:
SA = 2,400 cm²
Step-by-step explanation:
Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)
SA = 2(lw) + 2(wh) + 2(hl)
l = 20 cmw = 20 cmh = 20 cmSubstitute the values above and multiply:
SA = 2(lw) + 2(wh) + 2(hl)
SA = 2(20)(20) + 2(20)(20) + 2(20)(20)
SA = 2(400) + 2(400) + 2(400)
SA = 800 + 800 + 800
SA = 2,400 cm²
Final answer: 2,400 cm²
Hope this helps!
================================
[tex] \large \sf \underline{Direction:}[/tex]
The present shown below is a cube. Find the surface area.================================
[tex] \large \sf \underline{Answer:}[/tex]
[tex] \qquad \qquad \huge \bold{2,400cm^{2} }[/tex]
================================
[tex] \large \sf \underline{Solution:}[/tex]
[tex] :\sf{SA=2(lw)+2(wh)+2(hl)}[/tex]
[tex]:\sf{SA=2(20)(20)+2(20)(20)+2(20)(20)}[/tex]
[tex]:\sf{SA=2(400)+2(400)+2(400)}[/tex]
[tex]:\sf{SA=800+800+800}[/tex]
[tex]\therefore\sf\underline{SA = \pmb{2,400cm^{2} }}[/tex]
Hence, the surface area that you are looking for is 2, 400cm².
================================
x^2 +8 x+ y^2-12 y =14 what is the center and radius
Answer:
Step-by-step explanation:
Please answer if you can 30 points.
What is the y-intercept of the linear function given the following table?
Answer:
The y-intercept is 4
Step-by-step explanation:
You find the y-intercept by finding where x is zero. In the table, when x=0 the y=4. The y-intercept is 4. The graph of the function crosses the x-axis at the point (0,4).
Answer:
4
Step-by-step explanation:
the y-intercept is the y-coordinate where the line intersects the facis.So if we want to figure out the intercept,we're going to set x=0 and sdue for Y.
ANSWER THIS CORRECTLY FOR BRAINLIEST!!!!
Answer:
v=2143.57
Step-by-step explanation:
4/3 x 3.14 x 8³
3.14 x 512 x 4/3
3.14 x 512=1607.68
1607.68 x 4/3=2143.57333333
round to nearest hundreth
v=2143.57
Answer:
V ≈ 2143.57= 2144
Step-by-step explanation:
[tex]v=\frac{4}{3} *3.14*8^3[/tex]
=2143.57333333
you dont need to round, so!
=2144 (if you want)
sorry for the confusion
What statement is NOT true comparing the two
box and whisker plots?
Answer: C
Step-by-step explanation:
The minimum is the line furthest to the left, and they are both lined up. The median, the line inside the box, is on 12. The third quartile, the edge of the box on the right hand side, are the same for both graphs. However, test 1 has a lower first quartile, the edge of the box on the right hand side, than test 2.
in which number does the digit 5 have a value that is 10 times as great as the value of the digit 5 in 253,829
Moving 5 one digit to the left, one number in which the value of digit 5 is 10 times as great as in 253,829 is in 538,290.
What does it mean to move a digit one position to the left?It means that the value of the digit is multiplied by 10.
Hence, moving the digit 5 one position to the left, and appending a zero at the end, generating the number 538,290, the value of digit 5 is 10 times as great as in 253,829.
More can be learned about the value of a digit at https://brainly.com/question/2041524
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3.) A small city currently has a population of 130,250 people. The population is growing at a
rate of 0.2% each year. Approximately how many more people will live in the city three years from
now?
Answer:
131,033.
Step-by-step explanation:
The growth factor is 1 + 0.2 %
= 1 + 0.002 = 1.002.
So in 3 years population
= 130,250(1.002)^3
= 131,033
You wish to test the following claim (
H
a
) at a significance level of
α
=
0.002
.
H
o
:
μ
=
63.5
H
a
:
μ
<
63.5
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n
=
62
with mean
M
=
56.3
and a standard deviation of
S
D
=
13.2
.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Using the t-distribution, it is found that the desired measures are given as follows:
The test statistic is t = -4.29.The p-value is of 0.What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 63.5, that is:
[tex]H_0: \mu = 63.5[/tex]
At the alternative hypotheses, it is tested if the mean is less than 63.5, that is:
[tex]H_1: \mu < 63.5[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 56.3, \mu = 63.5, s = 13.2, n = 62[/tex]
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{56.3 - 63.5}{\frac{13.2}{\sqrt{62}}}[/tex]
t = -4.29.
What is the p-value?We have a left-tailed test, as we are testing if the mean is less than a value, with 62 - 1 = 61 df and t = -4.29. Hence, using a t-distribution calculator, the p-value is of 0.
More can be learned about the t-distribution at https://brainly.com/question/16162795
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Write an equation to describe the situation.
A student allows 1/10 of her monthly income for books and 1/8 of her monthly income for clothing. If she budgets a total of $300 per month for books and clothing, what is her monthly income, x?
Answer: 1333.(3)
Step-by-step explanation:
Let her monthly income be x. Then,
(1/10)x + (1/8)x = 300
(4/40)x + (5/40)x = 300
(9/40)x = 300
x = 300 / (9/40)
x = 300*40/9
x = 12000/9
x = 1333 1/3 = 1333.(3)
ANSWER THIS CORRECTLY FOR BRAINLIEST!!!!
This is 8th grade
algebra btw
Answer:
V = 2143.57
Step-by-step explanation:
To find the volume of a sphere you need to use this formula:
[tex]V = \frac{4}{3}\pi r^{3}[/tex]
r = radius
Solve:
You need the radius from the diameter. Divide 16/2 which is
8.
[tex]V = \frac{4}{3}(3.14) 8^{3}[/tex]
V = 2143.57
Jada fills the bathtub before taking a bath and then allows the water to drain when she is done. The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes.
On a graph, the graph increases, remains constant, and then decreases.
Is the number of gallons of water in the bathtub a function of time?
Yes because each t value is paired with exactly one number of gallons.
Yes because the number of gallons is bounded between y = 0 and y = 36.
No because each number of gallons is paired with more than one t value.
No because from t = 5 to t = 20 the number of gallons of water is constant.
Answer:
A, Yes because each t value is paired with exactly one number of gallons.
Step-by-step explanation:
Simply perform the vertical line test. On a graph, draw a vertical line, and if the line crosses the graph exactly once, it is a function. See the diagram below. Hope it helps, have a fantastic day.
Answer:
a
Step-by-step explanation:
because i am built diffrent thats why
three people P, Q and R contribute to a fund. P provides 3/5 of the total, Q provides 2/3 of the remainder and R provides £8. Determine the total fund?
Answer:
Let x be the total fund
[tex] \frac{3x}{5} + \frac{2}{3}(x - \frac{3x}{5} ) + 8 = x [/tex]
3x/5 + 2/3(2x/5) + 8 = x
3x/5 + 4x/15 + 8 = x
9x/15 + 4x/15 + 120/15 = 15x/15
9x+4x+120=15x
-2x= -120
x=60£
va rog, dau coroana + 20 de puncte (doar exercitiul 2)
Step-by-step explanation:
a) 1*7=7 (Litres);
b) 1*2*5=10 (Litres);
c) 10*0.5*1/0.5=10 (bottles)
The temperature outside changed from 82°F to 46°F over a period of six days. If the temperature changed by the same amount
each day, what was the daily temperature change?
A. 36°F
B. -6°F
C. 6°F
D. -36°F
Answer:
B. -6
Step-by-step explanation:
You know immediately that it will be negative, because the temp is going down.
To find the exact answer, start by finding the difference between the two temps
82-46 = 36
since its a six day period, divide 36 by 6
36/6 = 6
so, the answer is -6
if x-y=5 and xy=4,find the value of x3-y3
[tex]\text{Given that,} ~ x-y = 5~ \text{amd}~ xy = 4\\\\\text{Now,}\\\\x^3 -y^3\\\\=(x-y)(x^2 +xy+y^2)\\\\=(x-y)[(x-y)^2 +2xy +xy]\\\\=(x-y)[(x-y)^2 +3xy]\\\\=5(5^2+3\cdot 4)\\\\=5(25+12)\\\\=5(37)\\\\=185[/tex]
