Answer:
[tex]log_n(m)= \frac{4}{3}[/tex]
Step-by-step explanation:
N^4/3=m
[tex]n^{4/3}=m[/tex]
We need to write the equation in logarithmic form
we take log on both sides
[tex]log(n^{4/3})=log(m)[/tex]
We apply log property to remove the exponent 4/3
As per log property we can move exponent before log
log(a^m) = m log (a)
So our equation becomes
[tex]\frac{4}{3}log(n)=log(m)[/tex]
Now we divide both sides by log(n)
[tex]\frac{4}{3} =\frac{log(m)}{log(n)}[/tex]
Now we apply change of base formula
log(a)/ log(b)= log_b(a)
[tex]\frac{4}{3} =log_n(m)[/tex]
So log form is
[tex]log_n(m)= \frac{4}{3}[/tex]
To convert [tex]N^{4/3}[/tex] = m to logarithmic form, identify the base (N), the exponent (4/3), and the result (m). The logarithmic form is [tex]log_N(m)[/tex] = 4/3.
To convert the given equation [tex]N^{4/3}[/tex] = m into logarithmic form, we'll follow these steps:
Identify the base, which is N in this case.The exponent in the equation is 4/3.The result is m.The general logarithmic form of the equation aᵇ = c is [tex]log_a(c)[/tex] = b.
Applying this to our equation:
The base a is N.The result c is m.The exponent b is 4/3.Hence, the logarithmic form of the equation [tex]N^{4/3}[/tex] = m is:
[tex]log_N(m)[/tex] = 4/3translate each of the following into a variable expression
the product of mask (m) and acceleration(a)
what is indicated by arrowheads on a line?
Arrows on a line mean that the line continues forever in that direction. If there are two arrows in both directions along a line, then you have a geometric line. If you only have one arrow, then it is a ray. Having no arrows indicates a segment.
Sara is shopping and she can spend up to $24.98 but already spent $12.99 and she wants scrunchies that are $3.00 each how many can She purchase?
Answer:
4 scrunchies
Step-by-step explanation:
GIVEN :
Sara can spend up to $24.98.
She already spent $12.99
She wants scrunchies that are $3.00 each.
To Find : No. of scrunchies She can purchase.
Solution :
Since she can spend up to $24.98.
She already spent $12.99
So, amount she can spend further = $24.98-$12.99 = $11.99
Now she wants to buy scrunchies
No. of scrunchies of $3.00 = 1
No. of scrunchies of $1.00 = 1/3
No. of scrunchies of $11.99 :
= [tex]\frac{1}{3} *11.99[/tex]
⇒ [tex]3.99[/tex]
Thus no. of scrunchies of $11.99 =3.99≈4
Hence she can buy 4 scrunchies
Find ab , bc , and ac .. HELPPPP ( all parts )
OTHER ANSWER OPTIONS ARE 45,60,75. ANSWER ASAP PLEASE!!
Answer:
60
Step-by-step explanation:
The perimeter of the triangle is found by adding up the 3 sides
5+5+ unknown side = 15
10+unknown side = 15
Subtract 10 from each side
10-10 +unknown side = 15-10
unknown side = 5
All 3 sides are length 5
Since all 3 sides are the same, it is an equilateral triangle.
If it is an equilateral triangle, all 3 angles will be the same.
There are 3 angles and they add up to 180
x+x+x = 180
3x = 180
Divide by 3
3x/3 =180/3
x = 60
Translate the sentence into an equation.
Three times the sum of a number and 9 is 4.
Use the variable b for the unknown number.
Answer:
3* (b+9) = 4
Step-by-step explanation:
b is the unknown number
Three times the sum of a number and 9 is 4.
3* (b+9) = 4
To translate 'Three times the sum of a number and 9 is 4' into an equation, you represent the unknown number by 'b' and write the equation as 3(b + 9) = 4. Solve for 'b' by distributing the 3 and then isolating 'b' to get b = -23/3.
Translating the sentence 'Three times the sum of a number and 9 is 4' into an equation involves identifying the phrases that represent mathematical operations and the variable represented by b. The sentence describes a two-step mathematical process: finding the sum of a number (b) and 9, and then multiplying that sum by 3 to get 4. This can be written as an equation: 3(b + 9) = 4.
To solve for the unknown, which in this case is b, we first distribute the 3 inside the parentheses: 3b + 27 = 4. Then we isolate the b on one side by subtracting 27 from both sides of the equation: 3b = 4 - 27, which simplifies to 3b = -23. Finally, we divide both sides by 3 to get b on its own: b = -23/3.
Which of the following lines has a slope of -1/2? X + 2y = 0; x - 2y = 0; -x + 2y = 0
Answer:
x + 2y = 0
Step-by-step explanation:
solve the inequality y-2<7
Answer:
y < 9
Step-by-step explanation:
y - 2 < 7
This is a one-step inequality. You have y - 2 on the left side. You want y alone on the left side. If you add 2 to the left side, you eliminate the -2. You must do the same operation to both sides of an inequality, so add 2 to both sides of the inequality to eliminate the -2 on the left side.
y - 2 + 2 < 7 + 2
y < 9
Answer: y < 9
Q3. What is the quotient? −218÷114 Enter your answer as a mixed number, in simplified form, in the box.
Edit: This is very hard, so please help with these as well...?
Q4. What is the quotient?
158÷(−135)
Enter your answer as a mixed number, in simplified form, in the box.
Q5. Divide.
−834÷216
Options:
A. −4/18
B. −4/126
C. −3/2526
D. −3/18
(Please answer in detail)
Thank you! ^-^
Answer:
3. - 1 52/57
4. -1 23/135
5. -3 31/36
Step-by-step explanation:
3. Note the answer will be a negative number because one of the numbers is negative and the other is positive. When we do the division use positive numbers . Then we can just plug in the negative.
It looks like 114 will only divide once into 218 because 2*114 = 228 .
So the whole number part is 1. Now subtract 114 from 218 we get 104.
So we have the mixed number 1 104/114. These numbers in the fraction are positive so we divide by 2 to simplify.
This gives us 1 52/57
Finally plug in the negative and we have -1 52/57 (answer)
Q4. In a similar fashion to the above 158 / 135 = 1 and the fraction part is (158-135) / 135 = 23/135,so the answer is -1 23/135 ( note its negative because of the -135).
Q5.
-834 / 216
216 divides 3 times into 834 and the remainder is 834 - 3 * 216
= 834 - 648 = 186
so the mixed number is -3 186/216
Now simplify 186/216:-
divide each number by 2 , we get 93/108
3 will divide into 93 and 108 giving 31/36
Now plug in the negative.
So the answer is -3 31/36
Answer:
3. [tex]-1\tfrac{52}{57}[/tex]
4. [tex]-1\tfrac{23}{135}[/tex]
5. [tex]-3 \tfrac{31}{36}[/tex]
Step-by-step explanation:
3.
To find : the quotient when we divide -218 by 114
Solution : As in −218÷114 one of the numbers is negative and the other is positive, quotient must be negative .
[tex]\frac{-218}{114}=\frac{-109}{57}=-1\tfrac{52}{57}[/tex] ( mxed fraction )
( see fig (i) )
4.
To find : the quotient when we divide 158 by 135
Solution: As in 158÷(−135) one of the numbers is negative and the other is positive, quotient must be negative .
[tex]\frac{158}{-135}=-1\tfrac{23}{135}[/tex] ( mixed fraction )
( see fig (ii) )
5.
To find : −834÷216
Solution :
As in −834÷216 one of the numbers is negative and the other is positive, quotient must be negative .
[tex]\frac{-834}{216}=\frac{-417}{108}=\frac{-139}{36}=-3 \tfrac{31}{36}[/tex]
( see fig iii )
The prism-shaped roof has equilateral triangular bases. Create an equation that models the height of one of the roof's triangular bases in terms of its sides. In your final answer, include all necessary calculations.
Answer: The answer is given below.
Step-by-step explanation: As shown in the attached figure, the prism-shaped roof has equilateral triangular bases, one of which is ΔABC. We need to create an equation that models the height of one of the roof's triangular bases in terms of its sides. Let ii be AD.
SEe the figure attached herewith, ΔABC forms an equilateral triangle, in which AD is the height. So, D will be the mid-point of BC and ∠ADB = ∠ADC = 90°.
Now, in ΔADB, we have
[tex]AD^2=AB^2-BD^2\\\\\\\Rightarrow AD^2=AB^2-\left(\dfrac{1}{2}AB^2\right)^2\\\\\\\Rightarrow AD^2=\dfrac{3}{4}AB^2\\\\\\\Rightarrow AD=\dfrac{\sqrt 3}{2}AB.[/tex]
Thus, with the help of this model, we can find the height of any one of the roof's triangular bases.
Answer:
Copy and Paste Version
ADsqaured = ABsquared - BDsquared
ADsqaured = ABsquared - (1/2AB squared) 2
AD squared = 3/4AB squared
AD = square root 3/2 AB
Now we can find the height of any of the bases
Step-by-step explanation:
please help!!! MAX POINTS I CAN DO//// it’s in math because i trust the math people more
i can help you with points if you would like
pls consider it i have alot
BRAINLIEST FOR U! answer in 5 mins
Which of the following methods separates a homogeneous solution by spinning the solution very fast?
ik its not 'D' i got it wrong on my test
a. Evaporation and distillation
b. Filtration
c. Centrifuge
d. Magnetism
Answer:
I would say the answer is c
Answer: the best answer is c
What is the sum 1/8 plus 1/4
Answer:
3/8
Step-by-step explanation:
1/8 + 1/4 =
We need to get a common denominator of 8
1/8 + 1/4 * 2/2
1/8 + 2/8
3/8
what the simplified of 2/3 dived by 2/9
Answer:
3
Step-by-step explanation:
2/3 divided by 2/9
flip 2/9 to 9/2
2/3 mutilplied by 9/2
2 cancels 2 and 9 divides 3
equals 3
Please help and show work!!
A(-2, 2), B(4, 2), C(-6, -1), D(0, -1)
AB = CD = 4 - (-2) = 4 + 2 = 6
BD = AC. Use the formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the coordinates of the points B and D:
[tex]d=\sqrt{(-1-2)62+(0-4)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]
BD = AC = 5
The perimeter of parallelogram ABCD:
P = 2 · 6 + 2 · 5 = 12 + 10 = 22
Answer: a. 22 units.evaluate: 5–^2 =. WILL MARK AS BRAINLIEST
Answer:
1/25
Step-by-step explanation:
I AM GIVING 15 POINTS TO WHOMEVER ANSWERS THIS!!!
Compare 6 x 10^5 and 3 x 10^4.
A) 6 x 105 is 20 times larger than 3 x 104
B) 6 x 105 is 15 times larger than 3 x 104
C) 6 x 105 is 10 times larger larger than 3 x 104
D) 6 x 105 is 5 times larger than 3 x 104
Answer:
20
Step-by-step explanation:
To find how many times 6 x 10^5 power is greater tan 3 x 10^4 power, we divide the first number by the second. Write an equation!
(6 x 10^5)/(3 x 10^4)=
To divide them, we simply subtract the exponents. 5-4=1.
(6 x 10^1)/(3 x 10^1)
60/30=20
Your answer is 20.
Hope this helps!
Answer:
Your answer would be A)6x105 is 20 times larger than 3x104
All u have to do is get your answer from 6x10^5(which is 600,000) and 3x10^4(which is 30,000) and divide it by each other So it would be 600,000/30,000=20 =^.^=
Step-by-step explanation:
the artist goes to the store to buy brushes and small cans of paint. he pays $94. he buys 8 brushes that cost $5 each. the rest of the money is used for the 6 cans of paint. each can of paint cost the same amount. how much does each can of paint cost?
Answer:
$9
Step-by-step explanation:
The artist buys 8 brushes that cost $5 each, then all brushes cost
[tex]\$5\cdot 8=\$40.[/tex]
He pays $94 for all brushes and cans of paint, then all cans of paint cost
[tex]\$94-\$40=\$54.[/tex]
If he buys 6 cans of paint, then one can of paint costs
[tex]\$54:6=\$9.[/tex]
Helena is purchasing a house for $210000
The question requires understanding of real estate value, equity, and mortgage calculations related to buying a house. Freda's equity is the entire value of her house at $250,000. Ben has paid off a portion of his loan and has an equity of $100,000 in his home.
Explanation:The question provided deals with the financial aspects of purchasing a house and understanding real estate value, equity, and mortgage calculations. Helena purchasing a house for $210,000 would fall under the mathematics or business subject area as it involves financial calculations.
Freda's house situation, where she bought a house for $150,000 in cash and its current value is $250,000, tells us that her equity in the property would be the entire value of the house, which is $250,000, since she owes nothing to the bank.
As for Ben, he initially purchased his house for $100,000 and made a 20% down payment. He took a loan from the bank to cover the remaining 80%, later paid off $20,000 of it, and his house value has increased to $160,000. Ben's remaining loan balance would be the original borrowed amount minus what he has already paid back. Since he had taken 80% of $100,000, that would have been $80,000 initially, minus the $20,000 paid, leaves him with a $60,000 debt. The equity that Ben has in his house is the current market value minus the debt, which is $160,000 - $60,000, giving him an equity of $100,000.
In another scenario provided, Joanna is looking to determine how much she can afford in terms of a house loan with yearly payments of $12,000 at an interest rate of 4.2% over a 30-year period. She would need to apply the formula for calculating a mortgage payment and the total amount paid over the course of the loan.
Helena's total monthly payments are approximately $2,361.17. The closest answer choice is C. $2330.20.
Principal and Interest:
Down payment = 5% of $210,000 = $10,500
Loan amount = $210,000 - $10,500 = $199,500
Using a mortgage calculator, the monthly principal and interest payment for a 15-year loan at 4.5% interest on $199,500 is $1595.54.
PMI (Private Mortgage Insurance):
Loan-to-value ratio (LTV) = $199,500 / $200,000 = 99.75%
Based on the table, the PMI premium for a 15-year fixed-rate loan with an LTV of 95.01% to 97% is 0.79%.
Annual PMI premium = 0.79% of $199,500 = $1575.05
Monthly PMI premium = $1575.05 / 12 = $131.25
Property Taxes:
Annual property taxes = 3.5% of $200,000 = $7000
Monthly property taxes = $7000 / 12 = $583.33
Homeowners Insurance:
Monthly homeowners insurance = $600 / 12 = $50
Total Monthly Payments:
Principal and Interest: $1595.54
PMI: $131.25
Property Taxes: $583.33
Homeowners Insurance: $50 Total: $2350.12
Complete Question:
Helena is purchasing a house for $210,000, with a 15 -year fixed-rate mortgage at 4.5% interest. She has made a 5% down payment. The house is valued at $200,000, and the local tax rate is 3.5%. Her homeowners insurance is $600 per year. What are her total monthly payments? (Use the table below to calculate PMI premiums.)
[tex]\begin{tabular}{lcccl} Base-To-Loan\% & \multicolumn{2}{c}{ Fixed Rate Loan } & \multicolumn{2}{c}{ ARM 2\%+1 Year Cap } \\& $30 {yrs}$ & $15 {yrs}$ & $30 {yrs}$ & $15 {yrs}$ \\$95.01 \%$ to $97 \%$ & $0.90 \%$ & $0.79 \%$ & ${n} / {a}$ & ${n} / {a}$ \\$90.01 \%$ to $95 \%$ & $0.78 \%$ & $0.26 \%$ & $0.92 \%$ & $0.81 \%$ \\$85.01 \%$ to $90 \%$ & $0.52 \%$ & $0.23 \%$ & $0.65 \%$ & $0.54 \%$ \\$85 \%$ and Under & $0.32 \%$ & $0.19 \%$ & $0.37 \%$ & $0.26 \%$\end{tabular}[/tex]
A. 2654.23
B. 2894.71
C. 2330.20
D. 2202.72
Write an equation in slope-intercept
A slope of 0 and passes through (0,-3)
If the line has a slope = 0, then it's a horizontal line
with the equation y = constant.
The line passes through (0, -3) → y= -3
Answer: y = -3The table below gives the dimensions of a statue and a scale drawing of the statue.
Find the scale factor of the drawing to the real statue.
Write your answer as a fraction in simplest form.
Answer:
1/6 is the scale factor
Step-by-step explanation:
If two figures are similar, then we can relate different characteristics of the figure by using the scale factor. The scale factor is a measure of proportion with the original figure.
Obviously only similar figures can be compared using a scale factor. We know that similar figures are proportional and constant of proportionality of different dimensions in linear form such as length, height, width, perimeter etc is called scale factor.
If scale factor >1 then there is dilation of enlargement otherwise shrink
Here drawing is having dimensions as 9x7 instead of original 54x42
Proportion is the same as 1/6
So scale factor = 1/6
Answer: [tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
The formula to find the scale factor(k) :
[tex]k=\dfrac{\text{length of side in image}}{\text{length of corresponding side in pre-image}}[/tex]
From the given table, the height of statue of drawing = 9 inches
The height of statue of real statue = 54 inches
Then, the scale factor : [tex]k=\dfrac{9}{54}=\dfrac{1}{6}[/tex]
Similarly for length , the scale factor = [tex]k=\dfrac{7}{42}=\dfrac{1}{6}[/tex]
Hence, the scale factor of the drawing to the real statue = [tex]\dfrac{1}{6}[/tex]
PLEASE HELP!!! Solving equations with substitution! I don't really know how to solve it.
Answer:
x = 1
y = 2
Step-by-step explanation:
y = 2x
-6x + 6y = 6
-6x + 6(2x) =6 Substitute the fist equation for the value of y
-6x + 12x = 6 Combine like terms
6x = 6 divide
x = 1
Then, substitute the value of x in the equation for y
y = 2x y = 2(1)
y = 2
So with using the substitution method, to be able to do so you must have one of the equations isolated with one of the variables. In this case, we see that the first equation has the y variable isolated. Now with this, we are going to substitute y in the second equation for 2x since y = 2x:
[tex]-6x+6(2x)=6[/tex]
From here, we can solve for x:
[tex]-6x+6(2x)=6\\-6x+12x=6\\6x=6\\x=1[/tex]
Since we have the x-value, substitute x for 1 into either equation to solve for y as such:
[tex]y=2*1\\y=2\\\\-6(1)+6y=6\\-6+6y=6\\6y=12\\y=2[/tex]
Answer:In short:
x = 1y = 2How to solve the problem 8y+4=5y+19
Answer:
y=5
Step-by-step explanation:
1
Subtract 4 from both sides
8y=5y+19-4
2
8=5y+15
3
8-5y=15
4
3y=15
5
y=15/3
6
y=5
your network wants to cut your expenses per episode. thry have given you a budget of $85,134 for the next 6 episode. how much do you have to spend per episode?
What is 24x24x24? Please explain ;)
a square has a side length of 18 feet. the square was dilated by a scale factor of 1/2 to create a new square. what is the side length of the new square
Answer:
9 feet
Step-by-step explanation:
18 x 1/2 = 9
or
18 / 2 = 9
WILL MARK BRAINLIEST
Answer:
-1 < x < 0
AND
0 < x < 1
Step-by-step explanation:
graph is decreasing when x increases, y decreases
so the part of graph that is decreasing is between x = -1 n 1
ans is
-1 < x < 0
AND
0 < x < 1
At the product store you can buy four bags of bananas for 2084 how much would it cost if you were to buy 3 bags
Answer:
1563
Step-by-step explanation:
x= 1 bag of bananas
so, 4x=2084
Divide 2084 by 4 to find how much 1 bag of bananas would cost. 2084/4= 521.
To find how much 3 bags of bananas would cost, multiply 521 (the price of one bag) by 3. 521x3= 1563
3 bags of bananas are $1563
I don’t get this question
AM I CORRECT??? thanks for checking my answer