Answer:
m = 6
Step-by-step explanation:
We know that m and n vary directly and that m = 3 when n = 2. How would we find m when n = 4? For starters, we can see that the value of n doubled (we know this because 2 doubled is 4), and since m and n vary directly, when n doubles, so does m so the answer is m = 3 * 2 = 6.
What is the multiplicative inverse of -0.7?
Answer:
The multiplicative inverse of -0.7 is -1/0.7
hope it helps
Which statements are true about the estimation of decimal products? Check all that apply. Estimation gives an approximate answer. Estimation always results in a product greater than the exact answer. Estimation always results in a product less than the exact answer. Estimation can be done by rounding each decimal to the nearest whole number.
Step-by-step explanation: the answers are a and d
Answer:
a d
Step-by-step explanation:
got it right
Solve. Write your answer in the simplest form using integers, fractions, and natural logarithms. 9=ex
x=
Thanks!
Answer:
x = ln9
Step-by-step explanation:
Using the rule of logarithms
log [tex]x^{n}[/tex] = nlogx , lne = 1
Given
[tex]e^{x}[/tex] = 9 ( take the ln of both sides )
ln[tex]e^{x}[/tex] = ln9, thus
xlne = ln9, that is
x = ln9
The mass of the part of a metal rod that lies between its left end and a point x meters to the right is 3x^2 kg. Find the linear density when is 1 m, Where is the density the highest? The lowest?
Answer
6 kg/m
Step-by-step explanation:
The linear density is said to give the way the mass is changing it's position and it's a derivatives of mass m here which is differenciated with respect to x position
Given
mass m = 3x^2.
Density ρ= dm/dx =6x
Then if we substitute x=1 into above expresion we have
ρ(1) =6 Kg/m
ρ= 6Kg/m
Hence this is how fast is the mass changing at that position.
What value of x will make the angle between the pottery and the arrowhead measure 57
Answer:
x = 9
Step-by-step explanation:
Take the angle of LOJ (3x) and JOK (2x+12).
LOJ + JOK = LOK.
LOK = 57.
So, 3x + 2x + 12 = 57
3x + 2x = 5x
5x + 12 = 57
57 - 12 = 45
5x = 45
x= 9
Carrie spent 1/4 of her allowance on a shirt, 1/3 of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?
Answer:
$24
Step-by-step explanation:
1/4x + 1/3x + 8 = 22
1/4x + 1/3x = 7/12x
7/12x + 8 = 22
22 - 8 = 14
7/12x = 14
14/ 7/12
x = 24
Can y’all help me on this I just don’t understand it’s find su and m is the midpoint
Answer:
SU = 70
Step-by-step explanation:
First, we need to find the value of x. Since M is the midpoint of SU, that means that SM = MU, therefore:
x + 15 = 4x - 45
15 = 3x - 45
60 = 3x
x = 20
We know that SU = SM + MU = (x + 15) + (4x - 45) = 5x - 30 and that x = 20 so SU = 5x - 30 = 5 * 20 - 30 = 100 - 30 = 70.
Which series represents this situation?
1 + 1 · 7 + 1 · 72 + . . . 1 · 76
1 + 1 · 7 + 1 · 72 + . . . 1 · 77
7 + 1 · 7 + 1 · 72 + . . . 1 · 76
7 + 1 · 7 + 1 · 72 + . . . 1 · 77
Answer:
1 + 1 · 7 + 1 · 72 + . . . 1 · 76
Step-by-step explanation:
bc
Answer:
1 + 1 · 7 + 1 · 72 + . . . 1 · 76
Step-by-step explanation:
Hope this helps!
anyone know the answers to this ?!
Answer:
Hey there!
3 x 5/4 = 3 x 5 ÷ 4 = 5 x 3 ÷ 4
5 x 4/3 = 5 x 4 ÷ 3 = 4 x 5 ÷ 3
4 x 3/5 = 4 x 3 ÷ 5 = 4 x 3 ÷ 5
Hope this helps :)
X + + x plus StartFraction x Over 7 EndFraction plus StartFraction 1 Over 11 EndFraction left-parenthesis x plus StartFraction x Over 7 EndFraction right-parenthesis equals 60.(x + ) = 60
Answer:
[tex]x = \frac{770}{16}[/tex]
Step-by-step explanation:
Given
[tex]x + \frac{x}{7} + \frac{1}{11} (x + \frac{x}{7}) = 60[/tex]
Required
Solve for x
[tex]x + \frac{x}{7} + \frac{1}{11} (x + \frac{x}{7}) = 60[/tex]
Start by solving the bracket [Take LCM]
[tex]x + \frac{x}{7} + \frac{1}{11} (\frac{7x + x}{7}) = 60[/tex]
[tex]x + \frac{x}{7} + \frac{1}{11} (\frac{8x}{7}) = 60[/tex]
Open the bracket
[tex]x + \frac{x}{7} + \frac{8x}{77} = 60[/tex]
Take LCM
[tex]\frac{77x + 11x + 8x}{77} = 60[/tex]
[tex]\frac{77x + 11x + 8x}{77} = 60[/tex]
[tex]\frac{96x}{77} = 60[/tex]
Multiply both sides by 77
[tex]77 * \frac{96x}{77} = 60 * 77[/tex]
[tex]96x = 60 * 77[/tex]
Divide both sides by 96
[tex]\frac{96x}{96} = \frac{60 * 77}{96}[/tex]
[tex]x = \frac{60 * 77}{96}[/tex]
Divide the numerator and denominator by 6
[tex]x = \frac{10 * 77}{16}[/tex]
[tex]x = \frac{770}{16}[/tex]
Answer:
48.125
Step-by-step explanation:
What is the solution to this equation?
X-7 = 18
A. X = 25
B. x= 35
C. x = 11
D. X = 9
Answer:
A
Step-by-step explanation:
x - 7 = 18
Adding 7 to both sides (to get rid of the -7 on the left side) gives us:
x - 7 + 7 = 18 + 7
x = 25
Answer:
25 is the correct answer
Step-by-step explanation:
i got it right on the test
Please help, I really would love it
Answer:
A,C, and D I believe.
Step-by-step explanation:
Find the measure of angle A. This is for my math class, and I’ve been stuck on this for a while. Please help!
Answer:
x = 7.6°, so A = 18.8°
Step-by-step explanation:
What we need to know in order to utilize algebra is the total sum of all triangle's angle. It's 180°. So, we can write
25 + 17x - 1 + 3x - 4 = 180
20x + 28 = 180
20x = 152
x = 7.6°
Now what you need to do is substitute 7.6° into each expression 17x - 1 and 3x - 4.
An economist wishes to conduct a survey in two different cities in the same county to determine the difference in the proportions of residents who believe that economy is improving under president Trump. A 99% confidence interval is to be constructed for the difference between the proportions. If the sample sizes for both cities are to be equal, find the minimum sample size needed for each city so that the margin of error not to exceed 6%.
Answer:
The minimum sample size needed for each city = 922
Step-by-step explanation:
From the information given:
the objective is to find the minimum sample size needed for each city so that the margin of error not to exceed 6%.
If we take a look at the question very well:
we are only given the confidence interval of 99% and the margin of error of 6%
we were not informed or given the value or estimate of any proportions>
so we assume that:
[tex]p_1 =q_ 1= p_2 = q_2 = 0.5[/tex]
At confidence interval of 0.99 , the level of significance = 1 - 0.99 = 0.01
The critical value for [tex]z_{\alpha/2} = z_{0.01 /2}[/tex]
= [tex]z_{0.005}[/tex] = 2.576
The minimum sample size needed can be calculated by using the formula :
[tex]n = \dfrac{z^2_{\alpha/2}}{E^2}(p_1q_1+p_2q_2)[/tex]
[tex]n = \dfrac{2.576^2}{0.06^2}((0.5 \times 0.5)+(0.5 \times 0.5))[/tex]
[tex]n = \dfrac{6.635776}{0.0036}(0.25+0.25)[/tex]
[tex]n =1843.271 \times (0.5)[/tex]
n = 921.63
n [tex]\simeq[/tex] 922
∴ The minimum sample size needed for each city = 922
which expression is equivalent to 4n+ 28
A 28n + 4
B 4(n+28)
C 4( +7)
D 32
Answer:
It would be B
Step-by-step explanation:
Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony then eats half of his sweets.
Write expressions for the number of sweets Sue and Tony now have.
Help pleaseeeeee
Answer:
sue = 18
tony = 18
sue = 18 - x
tony = 18 + x
sue = 18 - x - 5
tony = (18 + x) / 2
sue = 13 - x
tony = (18 + x) / 2
Step-by-step explanation:
You Simplify The Equation by using PEMDAS
P: Parentheses
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
Evaluate. 5(−6)= ________
The evaluation of the numeric expression is:
5(−6) = -30
How to evaluate numeric expression?A numeric expression is a mathematical statement that involves only numbers and one or more operation symbols.
Examples of operation symbols are addition, subtraction, multiplication and division. It can also be expressed in the radical symbol (the square root symbol) or the absolute value symbol.
We can evaluate 5(−6) as follow:
5(−6) = 5 * (-6)
= -30
Learn more about numeric expression on:
https://brainly.com/question/4344214
#SPJ6
ABCD is a square. Length of one diagonal is 5cm.
a) What is the length of AB
b) Find the perimeter of ABCD
c) Find the area of
Answer:
Below
Step-by-step explanation:
Let D be the diagonal of this square.
D forms with AB and BC a right triangle where D is the hypotenus.
We will apply then the Pythagorian theorem
●The Pythagorian theorem
● D^2 = AB^2 + BC^2
ABCD is a square, so AB=BC
● D^2 = AB^2 + AB^2
● D^2 = 2AB^2
We khow that is D= 5 cm
● 25 = 2AB^2
● 25/2 = AB^2
● 5/√2 = AB
AB is 5√2 cm
■■■■■■■■■■■■■■■■■■■■■■■■■
The perimeter is:
● P = 4AB
● P = 4×(5/√2)
● P = 20/√2
● P = 10×2/√2
● P = 10√2 cm
■■■■■■■■■■■■■■■■■■■■■■■■■■
The area is
● A = AB^2
● A = (5/√2)^2
● A = 25/2 cm^2
Answer:
Step-by-step explanation:
the sides of a square are equal ( AB=BC=CD=DA)
diagonal of the square creates two right angle triangle
to find the side of the triangle we apply the Pythagorean theorem:
a²+b²=c² ( let AB=a, and BC=b)
2a²=25 ( since AB=BC=a)
a²=25/2
a=(5√2)/2 cm
a=3.54 ( rounded to the nearest 10)
perimeter = 4a
P=4(5√2/2)
P=10√2 cm
Area=a²=(5√2/2)²=25/2=12.5 cm^2
Please help me with this Operation: (-17+4+1-6)÷(-3)×(-1)?
Answer:
-6
Step-by-step explanation:
(-17+4+1-6)=-18
-18/-3=6
6*-1=-6
Answer:
-6
Step-by-step explanation:
(-17+4+1-6)÷(-3)×(-1)
PEMDAS
Parentheses first
(-17+4+1-6)÷(-3)×(-1)
Add and subtract inside the left parentheses
(-18)÷(-3)×(-1)
Multiply and divide from left to right
6 * -1
-6
help this is hard Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the equation below.
Answer:
x = [tex]-\frac{3}{b}[/tex]
x = -1
Step-by-step explanation:
The given equation is,
-2(bx - 5) = 16
Dividing by (-2) on both sides of the equation,
[tex]\frac{-2(bx-5)}{(-2)}=\frac{16}{(-2)}[/tex]
(bx - 5) = -8
By adding 5 on both the sides of the equation,
(bx - 5) + 5 = -8 + 5
bx = -3
Dividing by 'b' on both the sides of the equation,
[tex]\frac{bx}{b}=\frac{-3}{b}[/tex]
x = [tex]-\frac{3}{b}[/tex]
If b = 3,
x = [tex]-\frac{3}{3}[/tex]
x = -1
what is the equivelent expression to 13a - 8a + 9b - 4b
Answer:
5a + 5b
Step-by-step explanation:
13a - 8a + 9b - 4b =
Combine like terms. 13a and -8a are like terms and can be combined.
9b and -4b are like terms and can be combined.
= 5a + 5b
Answer:
5a+5bStep-by-step explanation:
[tex]13a-8a+9b-4b\\\mathrm{Add\:similar\:elements:}\:13a-8a=5a\\=5a+9b-4b\\\mathrm{Add\:similar\:elements:}\:9b-4b=5b\\=5a+5b[/tex]
Someone help!!! Tyyy
Answer:79°
Step-by-step explanation:
Given the 124° angle, the other angle formed by that line and the top side of the square must be 56°, as they are supplementary angles (they must add up to 180°). This means that the angle formed by that same line and the bottom side of the square is also 56° since it is a corresponding angle and the top and bottom sides of a square are parallel. The angle that a diagonal of a square forms with the sides of a square is always 45°.
So now we have a triangle (in red in my diagram) with angles of 45°, 56°, and x°. The sum of the angles of a triangle must always equal 180°, so we solve for x:
56 + 45 + x = 180
x = 180 - 56 - 45 = 79
So angle x must be 79°.
How can you invest your money as a student or a teenager???
Answer:
Buy stuff and sell them at a higher price
Step-by-step explanation:
Answer:
get a job
Step-by-step explanation:
Using one complete sentence give a mathmatical definition of zero
Answer:
Zero is an integer which is indicated by the symbol 0 in numbers and it is used to indicate that the count of an item when there are non of the item present which is one of the reasons zero along with the fact that it is the number between positive and negative numbers, why it is not associated with a positive or negative sign.
Step-by-step explanation:
A number which is not zero is said to be a non-zero number and the roots of a function is known as the zeros of the function.
In the problem below, AB, CD, and EF are two-digit numbers, where A, B, C, D, E and F represent distinct digits from 1 to 9. Is F prime? A B + C D E F B and D are consecutive integers. C = 8.
Answer:
When both the conditions hold true, F is prime.
Step-by-step explanation:
AB, CD, and EF are two-digit numbers, where A, B, C, D, E and F represent distinct digits from 1 to 9.
AB
+ CD
--------
EF
1st condition, B and D are consecutive.
Adding B and D gives us F.
Possible values can be (F being the unit value after adding not considering the carry over):
B + D = F
1+2=3
2+3=5
3+4=7
4+5=9
5+6=1
6+7=3
7+8=5
8+9=7
Here F is not prime (because 9 is not prime).
Now, let us consider the 2nd condition as well.
i.e. C = 8
For the following
AB
+ CD
--------
EF
C is 8 then A must be 1 because any value other than 1 for A will make the sum of A and C greater than 9 and there will be a carry which is not the case here.
So, E = 8 + 1 = 9
Now, B and D are consecutive and can not be 1, 8 or 9.
So, possible values are:
B + D = F
2 + 3 = 5
3 + 4 = 7
Here F is prime.
So, when both the conditions hold true, F is prime.
Evaluate (-B)2 for A = 5, B = -4, and C = 2.
16
0 -16
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{16}}}}[/tex]Step-by-step explanation:
Given , value of b = -4
To find : ( - b )²
plug the value of b
⇒[tex] \sf{( - {( - 4))}^{2} }[/tex]
we know that ,
[tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
⇒[tex] \sf{ {4}^{2} }[/tex]
Evaluate the power
⇒[tex] \sf{16}[/tex]
Hope I helped!
Best regards!!
Help please, w-5-4= -8-6w+8w?
Answer:
w = -1
Step-by-step explanation:
w-5-4= -8-6w+8w ⇒ simplifyw - 9 = - 8 + 2w ⇒ add 9 - 2w to both sidesw - 2w = - 8 + 9 ⇒ simplify-w = 1 ⇒ multiply both sides by -1w = -1 ⇒ answerAnswer:
[tex]\Huge \boxed{w=-1}[/tex]
Step-by-step explanation:
[tex]w-5-4= -8-6w+8w[/tex]
Combining like terms.
[tex]w-9= -8+2w[/tex]
Adding -w and 8 to both sides.
[tex]-9+8=2w-w[/tex]
[tex]-1=w[/tex]
In which number is the value of the 7 ten times the value of 7 in the number 1,273?
Answer:
1723
Step-by-step explanation:
10 x 70=700
Answer:
1723
Step-by-step explanation:
Anyone help me here please!!!!
Answer:
here is a formulae
cos2A= 2cos square a -1
Step-by-step explanation:
as given cos A= 1/2 (a+1/a)
by simplifying
cosA =a²+1/2a
now by following the formulae
cos2A = 2cos²A-1
=2(a²+1/2a)² -1
=2(a⁴+2a²+1/4a²)-1
=a⁴+2a²+1/2a² -1
=a⁴+2a²+1-2a²/2a²
=a⁴+1/2a²
=1/2 (a⁴+1/a²)
=1/2(a⁴/a²+1/a²)
=1/2(a²+1/a²)
{proved}
please mark me as a brainilist...plzzz
thank uuu
Answer: see proof below
Step-by-step explanation:
Use the Double Angle Identity: cos 2A = 2cos²A - 1
Proof LHS → RHS
Given: [tex]\cos A=\dfrac{1}{2}\bigg(a+\dfrac{1}{a}\bigg)[/tex]
LHS: cos 2A
Double Angle Identity: 2(cos²A) - 1
[tex]=2\bigg(\dfrac{1}{2}\bigg(a+\dfrac{1}{a}\bigg)^2\bigg)-1[/tex]
Simplify: [tex]2\bigg(\dfrac{1}{4}\bigg(a^2+2+\dfrac{1}{a^2}\bigg)\bigg)-1[/tex]
[tex]=\dfrac{1}{2}\bigg(a^2+2+\dfrac{1}{a^2}\bigg)-1[/tex]
[tex]=\dfrac{1}{2}a^2+1+\dfrac{1}{2a^2}-1[/tex]
[tex]=\dfrac{1}{2}a^2+\dfrac{1}{2a^2}[/tex]
Factor: [tex]=\dfrac{1}{2}\bigg(a^2+\dfrac{1}{a^2}\bigg)[/tex]
[tex]\dfrac{1}{2}\bigg(a^2+\dfrac{1}{a^2}\bigg)=\dfrac{1}{2}\bigg(a^2+\dfrac{1}{a^2}\bigg)\quad \checkmark[/tex]
what is the answer to |3x-4|=|3x-5|
Answer:
i think this is the answer
Answer:
the answer is [tex]\frac{3}{2}[/tex] or 1.5 or 1[tex]\frac{1}{2}[/tex]
Step-by-step explanation: