[tex]\\ \sf\longmapsto 20°+2p=70[/tex]
[tex]\\ \sf\longmapsto 2p=70-20[/tex]
[tex]\\ \sf\longmapsto 2p=50[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{50}{2}[/tex]
[tex]\\ \sf\longmapsto p=25[/tex]
A tin of paint covers a surface area of 50m2. Each tin costs £5.60. The entire surface of a solid cylindrical rod with diameter 8m and height 12m needs to be painted. Find the minimum cost of painting the rod. (NO NEED FOR EXLENATION)
the answer is in the picture
complete the equation: x^2-14x + __ = (__)^2
a. -14; x+14
b. -14; x-14
c. 49; x-7
d. 49; x+7
Answer:
C. 49, x-7
Step-by-step explanation:
(A+B)^2 = A^2 + 2AB + B^2
-14x = 2*A*B
where A=x
Therefore B=-7
and (x-7)^2=x^2-14x+49
Find the volume
Help me please
Answer:
1372/3 π
that's the volume
Find the value of X (plz answer quick)
Answer:
let:
4x-9=2x+3
4x-2x=3+9
2x=12
x=12/2
x=6 Ans
Simplify the expression below 5x(2x - 5)
ANSWER ASAP ILL MARK BRAINLIEST!!!!
find all the real zeros of the quadratic function.
f(x)=2x²-6x-1
Answer:
[tex]2 {x}^{2} - 6x - 1 = 0 \\ a = 2 \: \: \: b = - 6 \: \: \: c = - 1 \\ \\ x = \frac{6\binom{ + }{ - } \ \sqrt{ {6}^{2} - 4(2)( - 1)} }{2 \times 2} \\ \\ x = \frac{6 \binom{ + }{ - } \sqrt{44} }{4} \\ x = \frac{6 + \sqrt{44} }{4} \\ \\ or x = \frac{6 - \sqrt{44} }{4} [/tex]
I hope that is useful for you :)
Would this be 20? I'm confused on what the problem is asking here.
Answer:
This would not be 20
Step-by-step explanation:
This question can be thought as a Pythagoras question.
By subtracting 2cm from both the left side ZW, and the right side YX, you will have a right angled triangle WYX (or ZYX, since after subtracting 2cm Z and W are essentially the same point)
I have attached a crude drawing of what the triangle is looking like, we are looking for the unknown value marked with the ?
Pythagoras states that [tex]a^{2} +b^{2} =c^{2}[/tex]
We are given the lengths 2cm and 20cm, which can be thought of as a (or b) and c. Substitute in the values 2 and 20 and solve for the unknown
wat iz dis bul crup
i was literally THE hardest math problem EVER
Answer: 289,952,278
Step-by-step explanation: Big brain
Please help!!
Take a factor out of the square root:
Answer:
2a times the sq root of 2a or 2a (2a)**1/2
Step-by-step explanation:
(8a**3)**1/2 =
((2**2 * 2) (a**2) (a))**1/2 then take out and squares
2a (2a)**1/2
or 2a times the sq root of 2a
Express 2x^2-12x-7 in the form a(x+b)^2+c
Answer:
2(x - 3)^2 - 25.
Step-by-step explanation:
2x^2-12x-7
= 2(x^2 - 6x) - 7
= 2[(x - 3)^2 - 9] - 7
= 2(x - 3)^2 - 18 - 7
= 2(x - 3)^2 - 25.
?
What single decimal multiplier would you use to decrease by 1% followed by a 3% decrease?
Answer:
0.9797
Step-by-step explanation:
100*101% = 101
101*0.97% = 97.97% = 0.9797
A system of equations is shown below.
y = 3x + 9
y = x^2 - 1
What is the largest value of y in the solution set of the system?
A. -2
B. 24
C. 3
D. 5
Answer:
it should be 3 so letter c
Step-by-step explanation:
I hope this help
Question 6 of 25
In APQR, m P= 60°, m_ Q = 30°, and m2 R = 90°. Which of the following
statements about APQR are true?
Check all that apply.
Answer:
A, E, F
Step-by-step explanation:
From the angles given, we can infer that ΔPQR is a 30-60-90 special triangle. In a 30-60-90 triangle, the leg opposite the 30 degree angle is 1/2 the hypotenuse and the leg opposite the 60 degree angle is √3 times the one opposite the 30. Using this, we can say:
PR = 1/2 PQ which is just 2 PR = PQ(E)
PR √3 = QR (A)
We can substitute in PR from the first equation to the second to get:
√3/2 PQ = QR(F)
How many distinguishable permutations for the letters in the word "statistical" are there?
You can use the same reasoning as I provided on your other question (URL 24277817).
"statistical" has 11 total characters, thus 11! total permutations.
• s, a, and i each appear 2 times
• t appears 3 times
Then the number of distinguishable permutations is
11! / (2! × 2! × 2! × 3!) = 831,600
Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
y = negative two-thirds x + 5
y = negative two-thirds x minus 7
y = two-thirds x minus 7
y = two-thirds x + 5
Answer:
1st option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (9, - 1)
m = [tex]\frac{-1-7}{9-(-3)}[/tex] = [tex]\frac{-8}{9+3}[/tex] = [tex]\frac{-8}{12}[/tex] = - [tex]\frac{2}{3}[/tex] , then
y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (9, - 1 ) , then
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - [tex]\frac{2}{3}[/tex] x + 5 ← equation of line
Please can someone help me with this question?
9514 1404 393
Answer:
C. f^-1(x) = (x +4)^2; x ≥ -4
Step-by-step explanation:
The range of the given function f(x) is -4 ≤ f(x). This will be the domain of the inverse function.
We find the inverse function by solving ...
x = f(y)
x = √y -4
x +4 = √y
(x +4)^2 = y
The inverse function is ...
f^-1(x) = (x +4)^2 . . . for x ≥ -4
1 point (1) Three times a number minus two times a number* Your answer
Answer:
Three times a number minus two times a number
3x-2x
=x
Graph the following inequality 6x-2y>8
Please help me and show me how to graph it.
Answer:
6x - 2y > 8
First, solve the inequality (Isolate the y-variable & put it in function format):
[tex]6x - 2y > 8\\-2y > 8 - 6x\\(-1)(-2y) > (-1)(8-6x)\\2y < 6x-8\\y < \frac{6x-8}{2} \\y < 3x - 4[/tex]
Second, graph the function y = 3x - 4 on the graph.
It should be linear.Because the inequality is < and not ≤, the values on the line aren't included in the solution, so your line should be dotted, not solid.Third, shade in the area below the line(where y-values are smaller).
Since the inequality is <, that means the solutions are smaller than the solutions of the function 3x - 4.f(x) = x2 What is g(x)?
O A. g(x) = 25x2
O B. g(x) =1/5x2
O C. g(x) = 5x2
O D. g(x) = (5x)2
Answer:
C
Step-by-step explanation:
The graph is 5x^2. Hence the option C is correct
The required function g(x) is 5x² for the given graph, which is the correct option (C).
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The given function is as follows:
f(x) = x²
Substitute the value of x = 1 in the above equation,
f(1) = 1
As per the given graph, we have
g(1) = 5
Now, we can write the proportion as:
f(x)/g(x) = f(1)/g(1)
Substitute the known values in the above proportion, and solve for g(x):
x²/g(x) = 1/5
Cross-multiplying and we get:
g(x) = 5x²
Therefore, the required function g(x) is 5x².
Learn more about the functions here:
brainly.com/question/12431044
#SPJ7
Triangle SKY with vertices S(-7, 2), K(-1,8), and Y(-2,1) undegoes a reflection with new corrdinates S'(-7,-2), K'(-1, -8), and Y'(-2,-1). Name the line of reflection.
Step-by-step explanation:
reflection under
x-axis
hope this will help you
The line of reflection is given as x-axis.
How to transform a graph of the function?The graph of a function can be transformed by either shifting it in the right, left, up or down.
When the transformation is rightwards, the function becomes as f(x - a).
For left shifting it is f(x + a).
The coordinates of the triangle SKY before and after reflection are given as below,
S(-7, 2) → S'(-7, -2)
K(-1, 8) → K'(-1, -8)
Y(-2, 1) → Y'(-2, -1)
It is clear from the transformed coordinates that the x coordinates are the same but y-coordinate changes.
Thus, the reflection is about x-axis.
Hence, the line of reflection is x-axis.
To know more about transformation of graph click on,
https://brainly.com/question/10059147
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Can someone help me with this math homework please!
Answer:
2+4/6=1
y-2/x-6=1
y-2=x-6
y=x-4
or y+4=x
Answer:
3rd option
y + 4 = x
Step-by-step explanation:
look,
point A (0, -4) forms the y intercept
(remember the condition for y intercept? the coordinates for which value of x is 0)
so in the equation
[tex]\boxed{ y= mx+c}[/tex]
c being the y intercept is equal to (-4)
finding the slope :-
[tex]m = \frac{ 2 + 4 }{6 - 0} \\ = \frac{6}{6} = 1[/tex]
plugging all these values into the equation
y = 1x - 4
y= x - 4
taking 4 to the other side
y+ 4 = x
Solve log6 + log6 (x-1) = 1
Answer:
[tex]\boxed{\sf x = 7 }[/tex]
Step-by-step explanation:
We are here given a logarithmic equation and we need to solve it out and then find the value of x. The given equation is ,
[tex]\sf\longrightarrow log_6 + log_6 ( x -1) = 1 [/tex]
Here I am assuming that the base of the logarithm is 6 . The equation can be written as ,
[tex]\sf\longrightarrow log_6 1+ log_6 ( x -1) = 1 [/tex]
Recall the property of log as , [tex]\sf log_x a + log_x b = log_x(ab) [/tex] , on using this property we have ,
[tex]\sf\longrightarrow log_6 \{ 1 ( x -1)\} = 1 [/tex]
Simplify ,
[tex]\sf\longrightarrow log_6 ( x -1) = 1 [/tex]
We know that , if [tex]\sf log_a b = c [/tex] then in expotential form it can be expressed as [tex]\sf a^c = b [/tex] . Using this we have ,
[tex]\sf\longrightarrow 6^1 = x - 1[/tex]
Simplify ,
[tex]\sf\longrightarrow 6 = x - 1[/tex]
Add 1 both sides ,
[tex]\sf\longrightarrow x = 6 + 1[/tex]
Therefore ,
[tex]\sf\longrightarrow \boxed{\blue{\sf \quad x = 7\quad }} [/tex]
Hence the value of x is 7 .
Answer:
x=7
Step-by-step explanation:
log6(1) + log6 (x-1) = 1
We know that log (a) * log (b) = log (ab)
log6 (1*(x-1)) = 1
log6 (x-1) = 1
Raising each side to the base of 6
6 ^log6 (x-1) = 6^1
x-1 = 6
Add 1 to each sdie
x-1+1 = 6+1
x=7
Solve for b. Round your answer to the nearest whole degree.
5.1
bº
3.6
100
Answer:
b =44
Step-by-step explanation:
We need to use the law of sines to determine b
sin b sin 100
---------------- = ----------------
3.6 5.1
Using cross products
5.1 sin b = 3.6 sin 100
sin b = 3.6 sin 100 / 5.1
Taking the inverse sin of each side
b = arcsin ( 3.6 sin 100 / 5.1)
b = 44.03984209
To the nearest degree
n = 44
Find the width of a rectangular strip of land with length 25 m and area 12 square meters?
Answer:
5/4
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
1/2 = 2/5 * w
Multiply each side by 5/2
5/2 * 1/2 = 2/5 *w * 5/2
5/4 = w
Formula we use,
→ A = l × w
Then the width of the rectangle,
→ A = I × w
→ 1/2 = 2/5 × w
Now multiply each side by 5/2,
→ 1/2 × 5/2 = 2/5 × w × 5/2
→ w = 5/4
Hence, the width is 5/4.
PLs help T^T im to dum.b to understand this equation
are
equivalent to 192 ounces?
How many pounds
24
pounds.
192 ounces is equivalent to
Answer:
12 lbs
Step-by-step explanation:
There are 16 ounces in a pound
192 ounces * 1 pound / 16 ounces = 12 pounds
Step-by-step explanation:
1 pound = 16 ounces
24 pound = 16 x 24 ounces = 384 ounces
1 ounce = 1/16 pounds
192 ounces = 192/16 pounds = 12 pounds
Daniel and Saquon are each saving money. Daniel starts with $50 in his savings account and adds $8 per week. Saquon starts with $65 in his savings account and adds $5 each week.
After four weeks, who has more money in their savings account? Explain how you know.
After how many weeks will Daniel and Saquon have the same amount of money in their savings accounts?
Answer:
Sequon has more money after 4 weeks. It would take 5 weeks for their savings accounts to be equal.Step-by-step explanation:
Daniel
Daniel starts with $50 and each week he adds $8. To find out the amount he has in any given week, the following formula would work:
= 50 + 8x
The x is the number of weeks and is multiplied by 8 because the amount of money he has increase by 8 every week.
After 4 weeks he would have:
= 50 + (8 * 4)
= 50 + 32
= $82
Saquon
Applying the same formula:
= 65 + 5x
After 4 weeks:
= 65 + (5 * 4)
= 65 + 20
= $85
Saquon has more money after 4 weeks.
Number of weeks it would take for both of them to have the same amount.
To find this out, equate both formulas and solve for x.
50 + 8x = 65 + 5x
8x - 5x = 65 - 50
3x = 15
x = 15/3
x = 5 weeks
At 5 weeks they will both have:
50 + 8 * 5 = $90
65 + 5 * 5 = $90
Ferrero Rocher chocolates are manufactured in the shape of spherical balls, which are
wrapped in foil. The Ferrero Rocher Company introduced the Ferrero collection, which
is a package of 15 chocolates, one layer deep in a 3 chocolate x 5 chocolate orientation.
A single chocolate has a diameter of 3.2 cm.
Answer:
N/A
Step-by-step explanation:
What's the question to the question?
If {3,4,5} is the domain of function f:x --> 2x-1, find the range.
Answer:
Range = {5, 7, 9}
Step-by-step explanation:
Range is the set of values that are the results of respective values of x when placed in the function f(x).
[tex] \mathfrak{\blue {\underline{\implies If\: x = 3 }}} [/tex]
f(3) = 2 × 3 - 1
f(3) = 6 - 1
f(3) = 5
[tex] \mathfrak{\blue{\underline{\implies If \:x = 4 }}} [/tex]
f(4) = 2 × 4- 1
f(4) = 8 - 1
f(4) = 7
[tex] \mathfrak{\blue{\underline{\implies If\: x = 5 }}} [/tex]
f(5) = 2× 5 - 1
f(5) = 10 - 1
f(5) = 9
Therefore, the range is the set of all these values :-
Range = {5, 7, 9}
Need help on this!!!
Answer:
7.8391
Step-by-step explanation:
Answer:
Step-by-step explanation:
The key to solving this equation is knowing how to "undo" a natural log. Just like square roots are "undone" by squaring, and cubing "undoes" a cubed root, raising a natural log to the base of e, Euler's number, undoes a natural log. Because this is an equation you have to raise both sides of it to the base of e:
[tex]e^{ln(x+3)}=e^5[/tex]
That leaves us on the left with simply
x + 3
On the right we have a constant. e is not a variable, it is a number. You can find its value on your calculator. Solving for x:
[tex]x=e^5-3[/tex] and
[tex]e^5=148.4131591[/tex], so
x = 148.4131591 - 3 and
x = 145.4132, the first choice listed.
