Answer:
C= 15
Step-by-step explanation:
[tex] \frac{9}{5} C + 32 = 59 [/tex]
subtracting 32 from both sides
[tex] \frac{9}{5}C = 59 -32 [/tex]
[tex] \frac{9}{5} C = 27[/tex]
Dividing both sides by 9/ 5
[tex]C = 27 \times \frac{5}{9} [/tex]
[tex]C = 3 \times 5[/tex]
[tex]C = 15[/tex]
8x^2y-18y^3
Maths assignment
Answer:
[tex]8x^2y-18y^3[/tex]
[tex]=8x^2y-18yy^2[/tex]
[tex]=4\cdot \:2x^2y+9\cdot \:2yy^2[/tex]
[tex]=2y\left(4x^2-9y^2\right)[/tex]
[tex]=2y\left(2x+3y\right)\left(2x-3y\right)[/tex]
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Hope it helps...
Have a great day!!
can someone please help me..
Answer:
A. It acts perpendicular to an object
Find the angle marked with the ? mark
Answer:
53 degrees
Step-by-step explanation:
Angle N = angle E
because angle made by joining end points of same chord on circumference are always equal.
so angle E = 37
Angle D = 90 ( because angle made by diameter on circumference is 90 degrees)
Now in Triangle DEC. Sum if all the angles of triangle us 180
Angle D + angle E + ? = 180
37 + 90 + ? = 180
127 + ? = 180
? = 180 - 127
? = 53 degrees
Hey guys please try this is kinda urgent. what is the value of x in the geometric progression. 16/9 , x, 1, y.
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Explanation:
Let r be the common ratio. Also, we'll make r nonzero, i.e. [tex]r \ne 0[/tex]
Multiplying this common ratio by any term gets us the next term of the geometric sequence.
16/9 is the first term, so that makes (16/9)*r the second term
Since (16/9)r is the second term, the third term is (16/9)r*r = (16/9)r^2
Set this equal to 1 and solve for r.
(16/9)r^2 = 1
r^2 = 1*(9/16)
r^2 = 9/16
r = sqrt(9/16) or r = -sqrt(9/16)
r = 3/4 or r = -3/4
Now that we know what r is, we can determine the second term
If r = 3/4, then,
(16/9)*r = (16/9)*(3/4) = 4/3
Or if r = -3/4, then,
(16/9)*r = (16/9)*(-3/4) = -4/3
So the second term is either 4/3 or -4/3 depending on which r value you go for.
HELP!!!!!!!!!!!!!!!! pls
Answer: y = 25 - 2x
Step-by-step explanation:
y = mx + b
m = slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{23-25}{1-0} =\frac{-2}{1} =-2[/tex]b = y-intercept = when x = 0 = 25y = -2x + 25
Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.
How long will it take Ted and Jacob to clear the field together?
Answer:
[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes
Step-by-step explanation:
[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]
It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Let's use the formula for the work rate:
Ted's work rate = 1/3 of the field per hour
Jacob's work rate = 1/2 of the field per hour
Together, their work rate.
= (1/3 + 1/2) of the field per hour
Now,
We can simplify the equation for the combined work rate by finding a common denominator:
(1/3 + 1/2)
= (2/6 + 3/6)
= 5/6 of the field per hour
Now we can use the formula for the work rate to solve the time it would take them to clear the field together:
(5/6)t = 1
(where t is the time in hours)
Solving for t:
(5/6)t = 1
t = 6/5
Therefore,
It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ7
Can anyone answer this I’m having trouble
Answer:
[tex]{ \bf{0.35{ \bar{2}}}} = { \bf{0.352222222....}} \\ = \frac{317}{900} [/tex]
Which expressions are in the simplest form? Check all that apply.
(Please help, I've been stuck on this all afternoon)
Answer:
All options are correct.
Step-by-step explanation:
We have to find the expression which are in the simplest form.
A.[tex]x^{-3}+y^3[/tex]
The expression cannot solve further.
Therefore, the given expression is in the simplest form .
B.[tex]\frac{1}{x^4}[/tex]
The expression cannot solve further.
The given expression is in the simplest form.
C.[tex]\frac{w^7}{x^2}[/tex]
[tex]x^2[/tex] cannot divide [tex]w^7[/tex].
The expression cannot solve further.
Hence, the given expression is in the simplest form.
D.[tex]a^{-9}[/tex]
The expression cannot solve further.
The given expression is in the simplest form.
E.[tex]\frac{1}{a^2}+b^2[/tex]
The expression cannot solve further.
Hence, the given expression is in the simplest form.
F.[tex]\frac{1}{b^5}[/tex]
The expression cannot solve further.
Hence, the given expression is in the simplest form.
Hence, all options are true.
Find the area of circle x that has a radius at coordinates X = (0, 3) and Y = (-3, -1). Round to the nearest tenth.
Answer:
78.5 units²Step-by-step explanation:
Area of circle:
A = πr²Distance between x and y is same as r, so:
r² = (0 + 3)² + (3 + 1)² = 9 + 16 = 25Then the area is:
A = π*25 = 78.5 units² (rounded)what is f(2)=
this thing had to be atleast 20
Kelly has $25 in her purse, and Dante has d dollars in his wallet
Which algebraic expression represents the total amount that Kelly and dante have?
The equation will be:
25 + d = t
where t is total money
12 times 12 divided by 6
Answer:
24 , 12x12 = 144. , 144/6 =24
A radar station located at ground level picks up a plane flying at a direct distance of 47,440 feet
away. If the angle of elevation from the station to the plane is 29°, what is the altitude of the plane?
Answer:
22,999 feets
Step-by-step explanation:
Given the solution diagram attached,
The altitude, h of the plane can be solved using trigonometry :
Using :
Sin θ = opposite / hypotenus
Opposite = h
Hypotenus = 47440
Sin 29 = h / 47440
h = 47440 * sin29
h = 22999.368
h = 22,999 feets
?
Which graph contains the points of intersection
satisfying this linear-quadratic system of equations?
x2 + y2 = 20
x-y + 2 = 0
Answer:
Step-by-step explanation:
Write a function rule for the table.
Answer:
A
Step-by-step explanation:
slope=(1-0)/(5-4)=1
eq. of line through (4,0) with slope 1 is
y-0=1(x-4)
put y=f(x)
f(x)=x-4
simplify the following. (x²+2x)-(x²-7x)
Answer:
9x
Step-by-step explanation:
(x² + 2x) - (x² - 7x) ← distribute parenthesis
= x² + 2x - x² + 7x ← collect like terms
= 9x
Answer:
9x
Step-by-step explanation:
( x ² + 2 x ) - ( x² - 7 x )
Simply the expression
➻ ( x ² + 2 x ) - ( x² - 7 x )Remove unnecessary parantheses
➻ x² + 2x - x² + 7xcombine like terms
➻ x² - x² + 2x + 7x➻ 9xsomeone help me for this algebra task please
Answer:
The last one is the answer
Answer: For each hour that Michelle drove, she travelled an additional 50 miles.
Step-by-step explanation:
Test each option to see its accuracy
Calculate the slope:
[tex](x_{1}, y_{1}) = (7, 0)\\(x_{2}, y_{2}) = (0, 350)\\ \\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{350-0}{0-7} =\frac{350}{-7} =-50[/tex]
This means that Michelle drove 50 miles per hour.
The other three options are wrong because if you bring in:
x = 6x = 3into your function- y = -50x + 350, you would not get the stated miles.
solve the equation x^2 -100 = 0
A washer and a dryer cost $587 combined. The washer costs $63 less than the dryer. What is the cost of the dryer?
Answer:
The dryer costs $325.
Step-by-step explanation:
Let w represent the cost of the washer and d represent the cost of the dryer.
They cost $587 combined. In other words:
[tex]w+d=587[/tex]
The washer costs $63 less than the dryer. Therefore:
[tex]w=d-63[/tex]
Thus, we have the system of equations:
[tex]\displaystyle \begin{cases} w+d = 587 \\ w=d-63\end{cases}[/tex]
We can solve it using substitution. Substitute the second equation into the first. Hence:
[tex](d-63)+d=587[/tex]
Combine like terms:
[tex]2d-63=587[/tex]
Add 63 to both sides:
[tex]2d=650[/tex]
And divide both sides by two. Hence:
[tex]d=325[/tex]
The dryer costs $325.
Further Notes:
And since the washer is $63 less, the washer costs:
[tex]w=(325)-63=262[/tex]
The washer costs $262.
The lines r: x+3=0 and s: y-2=0 intersect at a point P.
a) Determine the coordinates of point P.
b)What is the distance of P from the origin?
Answer:
(-3,2)
Step-by-step explanation:
The given Equations of lines are ,
[tex]\implies x + 3 = 0 [/tex]
[tex]\implies y -2 = 0 [/tex]
On plotting the graph of the given two equations we will get that the two lines will intersect each other at a point and that point will be the solution of the system of equation. On drawing a graph ,
On looking at graph , Point P will be ,
[tex]\implies Solution = P(-3,2) [/tex]
Can someone help me with this math homework please!
Answer:
Step-by-step explanation:
What is the slope of the line whose equation is y-4=5/2(x-2)?
Answer:
[tex]slope = \frac{ - 1 - 4}{0 - 2} \\ = \frac{ - 5}{ - 2} \\ = { \tt{ \frac{5}{2} }}[/tex]
SOMEONE PLEASE HELP!!
Answer:
RV = 18
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18
(13+29-2)÷2
show your work
Answer:
[tex](13 + 29 - 2) \div 2 \\ (42 -2 ) \div 2 \\ 40 \div 2 \\ = 20[/tex]
Answer:
(13+29-2)÷240÷220hope it helps.
stay safe healthy and happy..plz tell the answers in the correct order
Answer:
a) 120°
Step-by-step explanation:
i think this is the right answer
In ∆ABC if AB = 6 cm , BC = 8cm, AC = 10 cm then value of ∠B is ________
Answer:
90 degrees
Step-by-step explanation:
B is the corner and angle opposite of the side AC.
so, AC is becoming side c, and the other two are a and b (it does not matter which is which).
we use the enhanced Pythagoras formula for general triangles
c² = a² + b² - 2ab×cos(C)
in our example the angle C is named B.
but other than that we simply calculate
10² = 6² + 8² - 2×6×8×cos(B)
100 = 36 + 64 - 96×cos(B)
100 = 100 - 96×cos(B)
0 = -96×cos(B)
cos(B) = 0
=>
B = 90 degrees
Can somebody help me
Please help,
Consider the line 5x - 3y = -4.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
5x - 3y = -4
-3y = -5x - 4
3y = 5x + 4
Y = (5/3)x + (4/3)
The slope of the line is (5/3).
(Its y-intercept is 4/3 but we don't need that.)
Any line parallel to it has same slope. (5/3)
Any line perpendicular to it has slope that is the negative reciprocal of 5/3. (-3/5)
Find the area of the region between the curve x^3+2x^2-3x and the x-axis over the interval [-3,1]
Answer:
[tex]\displaystyle A = \frac{32}{3}[/tex]
General Formulas and Concepts:
Calculus
Integrals
Definite IntegralsArea under the curveIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
Curve: x³ + 2x² - 3x
Interval: [-3, 1]
Step 2: Find Area
Set up: [tex]\displaystyle A = \int\limits^1_{-3} {(x^3 + 2x^2 - 3x)} \, dx[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle A = \int\limits^1_{-3} {x^3} \, dx + \int\limits^1_{-3} {2x^2} \, dx - \int\limits^1_{-3} {3x} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = \int\limits^1_{-3} {x^3} \, dx + 2\int\limits^1_{-3} {x^2} \, dx - 3\int\limits^1_{-3} {x} \, dx[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = (\frac{x^4}{4}) \bigg| \limits^1_{-3} + 2(\frac{x^3}{3}) \bigg| \limits^1_{-3} - 3(\frac{x^2}{2}) \bigg| \limits^1_{-3}[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle A = -20 + 2(\frac{28}{3}) - 3(-4)[/tex]Evaluate: [tex]\displaystyle A = \frac{32}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
What is the value of Z?
Answer:
137
Step-by-step explanation:
Since angle Z and the angle of 43° are supplementary, the sum of them must equal 180. Therefore,
∠Z + 43 =180
∠Z = 137°
Answer:
137 degrees
Step-by-step explanation:
First thing, we know y is 43 because 43 degrees and y are vertical angles meaning they are congruent. (This is just a small part doesn't really do much though.)
Straight lines add up to 180 so simply just subtract 43 from 180.
180 - 43 = 137.
Therefore,
z = 137 degrees