Step-by-step explanation:
0.7 decimeter =
70,000,000 nanometers
Write an equation in point-slope form of the line through point J(-1, 10) with slope -7.
Answer:
y - 10 = -7 (x + 1)
Step-by-step explanation:
pont = (-1,10) slope = -7
y - 10 = -7 (x + 1)
which statement is correct?
Answer:
Option 3 is correct
tex]\frac{1yd}{36 in}=\frac{7yd}{252 in}[/tex]
Step-by-step explanation:
1.[tex]\frac{1 in}{2.54 cm}=\frac{7 in}{17.68 cm}[/tex]
1 in=2.54 cm
[tex]7 in=2.54\times 7=17.78 cm[/tex]
[tex]\frac{1 in}{2.54 cm}=\frac{1 in}{1 in}=1[/tex]
[tex]\frac{1 in}{2.54 cm}\neq \frac{7 in}{17.68 cm}[/tex]
Hence, it is not correct.
2.[tex]\frac{1 ft}{12 in}=\frac{7ft}{74 in}[/tex]
1 foot=1 2in
[tex] 7ft=7\times 12=84 foot[/tex]
[tex]\frac{1 ft}{12 in}=1[/tex]
[tex]\frac{7ft}{74 in}\neq 1[/tex]
[tex]\implies \frac{1 ft}{12 in}\neq \frac{7ft}{74 in}[/tex]
Hence, it is not correct.
3.[tex]\frac{1yd}{36 in}=\frac{7yd}{252 in}[/tex]
1 yd=36 in
[tex]\frac{1yd}{36 in}=\frac{36}{36}=1[/tex]
[tex]7yd=7\times 36=252 in[/tex]
[tex]\frac{7yd}{252 in}=\frac{252 in}{252 in}=1[/tex]
[tex]\implies \frac{1yd}{36 in}=\frac{7yd}{252 in}[/tex]
Hence, it is correct.
4.[tex]\frac{1 m}{3.28ft}=\frac{7m}{22.86ft}[/tex]
1 m=3.28 ft
[tex]\frac{1 m}{3.28ft}=\frac{3.28}{3.28}=1[/tex]
[tex]7m=7\times 3.28=22.96 ft[/tex]
[tex]\frac{7m}{22.86ft}\neq 1[/tex]
[tex]\frac{1 m}{3.28ft}\neq \frac{7m}{22.86ft}[/tex]
Hence, option is not correct.
Graph the equation of
= 1/3 − 4
Answer:my uncle john told me D
Step-by-step explanation:Beacause john have a brain
Evaluate the price wise function ag the indicated value from the domain:
A. f(-3)=-1/2
B. f(-3)=-1/3
C.f(-3)=4
D.f(-3)=9
According to a survey of 1000 families of any town in 2010 A.D.,794 families have radio and 187 families have television.lf 63 families do not have any one of them,then how many families will have both radio and television?Find it.
Answer:
the families who use both radio and television is 44.
The rate of electricity charge up to 20 units is Rs 3 per unit and Rs 7 per unit from 21 to 30 units. If a family paid the bill of Rs 166 with Rs 50 service charge, how many units of electricity was consumed in the month?
Answer:
28units consumed in month
Step-by-step explanation:
20unit=20×3=60rs
now service charge +60rs=110
similary total paid=166
now 166-110=56
and 56/7=8unit
since total unit=28unit
Show all work to multiply (3+ Square root of -16)(6- square root of -64)
Answer:
1042-96i
Step-by-step explanation:
(3 + 16i)(6 - 64i)
6(3 + 16i)(3 - 32i)
(6) 9 - 96i + 48i +1024
Solve the formula c = pi d for d
A. d = pi c
B. d = c/pi
C. d = c - pi
D. d = pi/c
Answer:
B
Step-by-step explanation:
C=pi×d
C÷pi = Pi×d÷Pi
C/pi=d
Answer:
B
Step-by-step explanation:
Given
C = πd ( isolate d by dividing both sides by π )
[tex]\frac{C}{\pi }[/tex] = d
Will mark BRAINLIEST for correct answer.
The music you hear when listening to a magnetic cassette tape is the result of the magnetic tape passing over magnetic heads, which read the magnetic information on the tape. The length of time a tape will play depends on the length of the tape and the operating speed of the tape player. The formula is T = L/S, where T is the time in seconds, L is the length of the tape in inches, and S is the operating speed in inches per second.
How long a tape does a police officer need to record a 3-minute confession at an operating speed of 3 1/2 inches per second?
Answer:
L = 3.5 in/sec * 3 min * 60 sec /min = 630 in
(L = S * T where T is in sec and S is inches / sec)
Fourth and fifth graders planted trees alongside the road. The distance between two trees is 5 meters how many trees did they plant if the distance between the first and last trees is 200 meters?
[tex]$\mathcal{PROCESS:}$[/tex]
[tex]{\displaystyle \mathbb {DATA \ \ TO\ \ TAKE \ \ INTO \ \ ACCOUNT}[/tex]
The distance between two trees is 5 meters.the distance between the first and last trees is 200 metersTo know the result of trees we will do the following steps...
We will divide the distance from the first to the last tree by 5, and with this we would have the result:
[tex]200/5=?[/tex]
Result:
40 trees were planted
ATT- Brook2007s
Answer:
41 Trees
Step-by-step explanation:
Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of radius 4
Answer:
The length and width that maximize the area are:
W = 2*√8
L = 2*√8
Step-by-step explanation:
We want to find the largest area of a rectangle inscribed in a semicircle of radius 4.
Remember that the area of a rectangle of length L and width W, is:
A = L*W
You can see the image below to see how i will define the length and the width:
L = 2*x'
W = 2*y'
Where we have the relation:
4 = √(x'^2 + y'^2)
16 = x'^2 + y'^2
Now we can isolate one of the variables, for example, x'
16 - y'^2 = x^'2
√(16 - y'^2) = x'
Then we can write:
W = 2*y'
L = 2*√(16 - y'^2)
Then the area equation is:
A = 2*y'*2*√(16 - y'^2)
A = 4*y'*√(16 - y'^2)
If A > 1, like in our case, maximizing A is the same as maximizing A^2
Then if que square both sides:
A^2 = (4*y'*√(16 - y'^2))^2
= 16*(y'^2)*(16 - y'^2)
= 16*(y'^2)*16 - 16*y'^4
= 256*(y'^2) - 16*y'^4
Now we can define:
u = y'^2
then the equation that we want to maximize is:
f(u) = 256*u - 16*u^2
to find the maximum, we need to evaluate in the zero of the derivative:
f'(u) = 256 - 2*16*u = 0
u = -256/(-2*16) = 8
Then we have:
u = y'^2 = 8
solving for y'
y' = √8
And we know that:
x' = √(16 - y'^2) = √(16 - (√8)^2) = √8
And the dimensions was:
W = 2*y' = 2*√8
L = 2*y' = 2*√8
These are the dimensions that maximize the area.
If 12x = 60, what is the last step to solve for x?
A. multiply 12 to both sides
B. subtract 12 from both sides
C. add 12 to both sides
D. divide 12 from both sides
Answer:
D. divide 12 from both sides
Step-by-step explanation:
12x = 60,
Divide each side by 12
12x/12 = 60/12
x = 5
We have to find,
The last step to solve for x,
→ 12x = 60
Then use option (D),
D. divide 12 from the both sides,
→ 12x = 60
→ 12x/12 = 60/12
→ x = 5
Hence, option (D) is last step.
Mike invested $93,000 at 8.19% compounded weekly.
What will Mike's account balance be in 11 years?
Answer:
$4920446.6202
Step-by-step explanation:
the formula for compound interest is: P(1+ r/n)^n*t
p= principle (the amount of money you invest/ start with)
r= the interest rate (which is the percentage in decimal)
n= the number of times its compounded per year (52 weeks per year)
t= the amount of time (usually in years)
now, you plug the numbers youre given into the formula:
93000(1+0.0819/52)^52*11
= $4920446.62402
hope this helps :)
Mile's account balance after 11 years will be $228,786.8
What is the formula for compound interest?"[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where A = Accrued amount (principal + interest)
P = Principal amount
r = interest rate as a decimal
R = interest rate as a percent
r = R/100
n = number of compounding periods
t = time in years"
For given question,
P = $93000,
t = 11 years
n = 52 (weekly compounding)
R = 8.19%
So, the interest rate in decimal would be,
[tex]\Rightarrow r =\frac{8.19}{100}\\\\\Rightarrow r =0.0819[/tex]
Using the formula of compound interest,
[tex]\Rightarrow A=P(1+\frac{r}{n} )^{nt}\\\\\Rightarrow A=93000(1+\frac{0.0819}{52} )^{52\times 11}\\\\\Rightarrow A=93000(1+\frac{0.0819}{52} )^572\\\\\Rightarrow A=228,786.8[/tex]
Therefore, Mile's account balance after 11 years will be $228,786.8
Learn more about the compound interest here:
https://brainly.com/question/22979103
#SPJ2
i need help asap like right now!!! MWEN BEZWEN ÈD AK MATEMATIK MWEN AN.
Answer:
i guess it is "not enough information"
The price of a radio is marked as rs 7500 if shopkeeper allows 20 % Discount and adds 13 % VAT . how much customer pay for radio
Answer:
a) A shopkeeper marked the price of an article a certain percentage above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9.492 with 13% VAT to buy the article, by what percent is the marked price above the cost of the price article? (I hope this helps)
what is the measure of 2?
Answer:
Value of x:
[tex]{ \tt{(7x + 1) \degree + (18x + 4) \degree = 180 \degree}} \\ { \tt{25x + 5 = 180}} \\ { \tt{25x = 175}} \\ x = 7[/tex]
Finding m‹2 :
[tex]{ \tt{m \angle2 = (7x + 1) \degree}} \\ { \tt{m \angle2 = (7 \times 7) + 1}} \\ { \bf{m \angle2 = 50 \degree}}[/tex]
Answer:
m∠2 = 50
Step-by-step explanation:
7x + 1 and 18x + 4 are angles in a linear pair.
Sum of linear pair angles is supplementary.
7x + 1 + 18x + 4 = 180
7x + 18x + 1 + 4 = 180
25x + 5 = 180
25x = 180 - 5
25x = 175
x = 175 / 25
x = 7
Substitute x = 7 in 7x + 1,
7x + 1
= 7 ( 7 ) + 1
= 49 + 1
= 50
7x + 1 and ∠2 are vertically opposite angles and vertically opposite angles are equal.
∠2 = 7x + 1
∠2 = 50
Can someone help me solving this problem? I'm confuse so I want help..
question :
a) The length and breadth of a rectangular room are 10m and 8m respectively. How many pieces of carpet 5m long and 2m wide are required to cover it's floor?
Please help me solving this problem !
Answer: 8
Step-by-step explanation:
The price of a jacket usually costing £50 is increased to £65.
Work ou the percentage increase.
Answer:
So the answer is 30%
Step-by-step explanation:
1. For 50 = 15 increase euros
2. For 100 = 15/50 x 100 = 30 increase in euros
3. 30/100 = 30%
OR....
1. Ten percent of 50 is 5.
2. 5x3= 15(increase in euros)
3. 10 percent three times which is equal to 30%.
Emmy just bought a new laptop! She used a student discount code that took $50.75 off the original price. The discounted price of the laptop was $349.24. Let p represent the original price of the laptop. Which equation models the problem?
Answer:
can you show the equations?
the quantity of the square of the sum of 4 times
x and 3, divided by the difference of x and 10
Answer:
Step-by-step explanation:
(4x+3)²÷(x-10)
=(16x²+24x+9)÷(x-10)
x-10) 16x²+24x+9 (16x+184
16x²-160x
- +
------------------
184x+9
184x-1840
- +
----------------
1849
----------------
Pls answer this pls pls
1) 520
2)60
3)2600
4)3760
Answer:
1. 520
2. 60
3. 2600
4. 3760
Step-by-step explanation:
[tex]{hope it helps}}[/tex]
Solve for x. Round to the nearest tenth of a degree, if necessary
Step-by-step explanation:
here's the answer to your question
I need help with my math!!!!!!!
Answer:
2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Area of a square = [tex]s^{2}[/tex] (s is a side length)
24 = [tex]s^{2}[/tex]
[tex]\sqrt{24}[/tex] = [tex]\sqrt{s^{2} }[/tex]
[tex]\sqrt{24}[/tex] = s
[tex]\sqrt{(4)(6) }[/tex] = s
2[tex]\sqrt{6}[/tex] = s
please help me please help me
Answer:
the answer is 1
Step-by-step explanation:
(√4 / √6) + (√6 / √4)
(2 / 2√3) + (2√3 / 2)
√3 / √3
= 1
Function A and Function B are linear functions. Function A x y – 10 – 14 – 1 – 5 9 5 Function B y=2x+4 Which statement is true?
Answer:
See explanation
Step-by-step explanation:
Function A is not clear; I will use the following in place of function A
Function A:
[tex]x \to\ 1 |\ 3 |\ 4 |\ 6[/tex]
[tex]y \to -1|\ 3|\ 5|\ 9[/tex]
Function B:
[tex]y = 2x + 4[/tex]
Required
Compare both functions
For linear functions, we often compare the slope and the y intercepts only.
Calculating the slope of function A, we have:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (1,-1)[/tex]
[tex](x_2,y_2) = (3,3)[/tex]
So, we have:
[tex]m = \frac{3 - -1}{3 - 1}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m = 2[/tex]
To calculate the y intercept, we set [tex]x = 0[/tex], then solve for y
i.e.[tex](x,y) = (0,y)[/tex]
Using the slope formula, we have:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex]m = 2[/tex]
[tex](x_1,y_1) = (0,y)[/tex]
[tex](x_2,y_2) = (3,3)[/tex]
So, we have:
[tex]2 = \frac{3 - y}{3 - 0}[/tex]
[tex]2 = \frac{3 - y}{3}[/tex]
Multiply by 3
[tex]6 = 3 - y[/tex]
Collect like terms
[tex]y = 3 - 6[/tex]
[tex]y = -3[/tex]
So, for function A:
[tex]m = 2[/tex] -- slope
[tex]y = -3[/tex] --- y intercept
For function B
[tex]y = 2x + 4[/tex]
A linear function is represented as:
[tex]y = mx + b[/tex]
By comparison
[tex]m = 2[/tex] --- slope
[tex]b = 4[/tex] --- y intercept
By comparing the results of both functions, we have the following conclusion:
Functions A and B have the same slope (i.e. 2)
Function B has a greater y intercept (i.e. 4)
A circle has a circumference of 8, It has an arc of length start fraction, 32, divided by, 5, end fraction. What is the central angle of the arc, in degrees?
Answer:
The central angle of the arc is 288 degrees.
Step-by-step explanation:
The correct question is
A circle has a circumference of 8. It has an arc of length 32/5 . What is the central angle of the arc,in the degrees?
we know that The circumference of the circle subtend a central angle of 360 degrees
so using a proportion
Find out the central angle for an arc of length 32/5
Given Q(x) = 7x − 3 and P(x) = 7x3 − 3x2 + 42x − 27, find P(x) Q(x) . (Divide using long division.)
Complete question:
Given Q(x) = 7x − 3 and P(x) = 7x3 − 3x2 + 42x − 27, find P(x) ÷ Q(x) . (Divide using long division.)
Answer:
[tex]\frac{7x^3 \ - \ 3x^2 \ + \ 42x \ - \ 27}{7x \ - \ 3} = \ \ x^2 + 6 \ \ \frac{-9}{7x \ - \ 3}[/tex]
The quotient = x² + 6 and the remainder = - 9
Step-by-step explanation:
Given;
Q(x) = 7x − 3
P(x) = 7x³ − 3x² + 42x − 27
To divide P(x) by Q(x) using long division, we apply the following method;
x² + 6
---------------------------------
7x − 3 √ 7x³ − 3x² + 42x − 27
− (7x³ - 3x²)
-------------------------------------
42x − 27
− (42x − 18)
----------------------------------------
− 9
[tex]Therefore, \ \frac{7x^3 \ - \ 3x^2 \ + \ 42x \ - \ 27}{7x \ - \ 3} = \ \ x^2 + 6 \ \ \frac{-9}{7x \ - \ 3}[/tex]
The quotient = x² + 6 and the remainder = - 9
= (b) Use your calculator to determine the exact value of 35.23 x 3.02 Exactly Correct to 2 decimal place
Answer:
The exact value is 106.40
Step-by-step explanation:
The exact value of the given operation obtained with the calculator is:
[tex] 35.23 \times 3.02 = 106.3946 [/tex]
The result expressed in 2 decimal places is:
[tex] 106.3946 = 106.40 [/tex]
Therefore, the exact value is 106.40
I hope it helps you!
Question in the image
Answer:
c
Step-by-step explanation:
Can someone help me with this math homework please!
Answer:
Question 1: (C) Step 3
Question 2: (B) The 2nd graph from the left
Question 3: (A, B, D)
Question 4: (D) Subtract 1.1j from both sides
Question 5: (C) x <= 3
Question 6: (D) y = 10
Step-by-step explanation:
Question 1:
Step 3 is where Rahul added 1/4 to both sides. This is the only time he used the addition property of equality.
Question 2:
This questions requires you to have knowledge on how to graph lines.
g(x) = -1 is already graphed correctly on all of the answer choices, so we only have to focus on f(x) = -1/2x - 2.
The y-intercept for f(x) is -2, and only answers B & D have that intercept. However, only B has the correct slope of -1/2.
Question 3:
A is correct because they added 3/5x and x, which is still equal to the original equation.
B is correct because they multiplied all the terms to have a denominator of 30, then multiplied both sides by 30 to eliminate the fractions.
C is wrong because it's supposed to 30x, not just a regular x from the original equation.
D is correct because as you solve the equation for x, you end up adding 18x, 6x, and 30x, which is 54x. 24x + 30x in this answer choice also equals 54x.
E is wrong because they subtracted instead of adding the 6x.
Question 4:
All of the answer choices are wrong except for D because the other choices either use a wrong term (like 4j, which doesn't exist) or the wrong property of equality.
Question 5:
Use basic algebra to sovle the inequality:
2(4 + 2x) >= 5x + 5
(distribute 2 to the (4 + 2x))
8 + 4x >= 5x + 5
(subtract 5 from both sides)
3 + 4x >= 5x
(subtract 4x form both sides)
3 >= x
x <= 3
Question 6:
Use basic algebra to solve for y:
2.8y + 6 + 0.2y = 5y - 14
(subtract 6 from both sides)
2.8y + 0.2y = 5y -20
(add like terms)
3y = 5y - 20
(subtract 5y from both sides)
-2y = -20
(divide both sides by -2)
y = 10
Hope it helps (●'◡'●)