Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
log ([tex]2^x[/tex]) = log ( [tex]1/32[/tex] ) {take both the sides}
[tex]x[/tex] * ( log ( 2 ) ) = log ( [tex]1/32[/tex] )
[tex]x=\frac{log(1/32)}{log (2)}[/tex]
[tex]x=-5[/tex]
hope this helps....
If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K (2,5)
K'(-2,-5)
K (2,-5)
Answer:
I think it is k(2,5) or k'(-2, -5
Step-by-step explanation:
Hope This Helps Have A Good Day
70% sure that it is K(2,5)
Please help me ASAP
Question is in photo, thank you!
Answer:
the first and third option
Step-by-step explanation:
In the initial recipe, the ratio of tomato sauce to chile sauce is 1 : 3/2
To make it spicier this ratio has to be higher than the initial ratio
Ratio in the first option : 1/2 : 1 = 1 : 2
option 2 : if both recipes are double, the proportion of ingredients remain the same
oprion 3 : 1 : 3
option 4 : 1 : 1
option 5 : 1 : 5/3
The function f(t)=5600(1.006)^{10t}f(t)=5600(1.006) 10t represents the change in a quantity over decades. What does the constant 1.006 reveal about the rate of change of the quantity?
Answer:
If [tex]r = 1.006[/tex], then it means that dependent variables increases by a factor of 1.006 per decade.
Step-by-step explanation:
Mathematically speaking, the function represents an exponential equation, whose form is:
[tex]f(t) = a_{o}\cdot r^{k\cdot t}[/tex] (1)
Where:
[tex]t[/tex] - Independent variable.
[tex]r(t)[/tex] - Dependent variable.
[tex]a_{o}[/tex] - Initial value.
[tex]k[/tex] - Convergence ratio.
[tex]r[/tex] - Increase rate.
If [tex]r = 1.006[/tex], then it means that dependent variables increases by a factor of 1.006 per decade.
If A [4 3 ] is a singular matrix find the
[a 3 ] value of 'a'.
Step-by-step explanation:
If A [4 3 ] is a singular matrix find the
[a 3 ] value of 'a'.
a=4
Kumar bought some mangoes. The price of each mango () is found to be 6 more than the total number of mangoes bought by him and the total amount paid for all the mangoes is 280. Represent the situation mathematically and find the total number of mangoes bought by Kumar.
Answer:
Price = 20, Amount = 14
Step-by-step explanation:
A = Amount of Mangoes
P = Price for 1 Mango
P = A + 6
280 = P * A
insert A+6 for P
280 = (A+6) * A
280 = 6A + A²
280=1*a^2+6*a | Vertausche beide Seiten der Gleichung.
1*a^2+6*a=280 | quadratische Ergänzung: ergänze auf beiden Seiten (3)^2
1*a^2+6*a+(3)^2=3^2+280 | Rechne 3 hoch 2 aus.
1*a^2+6*a+(3)^2=9+280 | addiere 9 und 280
1*a^2+6*a+(3)^2=9+280 | Fasse die rechte Seite mit Hilfe der binomischen Formel zusammen.
1*(1*a+(3))^2=289 | Auf beiden Seiten Quadratwurzel ziehen.
1*a+(3)=+-*289^0.5
1*a_1+(3)=289^0.5
1*a_1+3=289^0.5 | Ziehe die Wurzel aus 289
1*a_1+3=17 | -3
1*a_1=14
The total number of mangoes bought by Kumar are 14.
What is mathematical equation?"An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values is called mathematical equation. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc."
We have,
Total amount for mangoes(P) = 280
Price of one mango is equal to 6 more than the total number of mangoes (A) i.e., P = A+6
By using mathematical equation from the question
P×A = 280.....(1)
Substitute P = A+6 in equation (1)
⇒ (A+6) × A = 280
⇒[tex]A^{2}+6A =280[/tex]
Add [tex]3^{2}[/tex] on both sides of above equation
⇒[tex]A^{2}+6A+3^{2} = 280+3^{2}[/tex]
⇒[tex]A^{2}+2.(1)(3A)+3^{2} =289[/tex] (∵ [tex](a+b)^{2} = a^{2}+2ab+b^{2}[/tex])
⇒[tex](A+3)^{2} =289[/tex]
⇒[tex]A+3 = \sqrt{289}[/tex]
⇒[tex]A=17-3[/tex]
⇒[tex]A=14[/tex]
Hence, The total number of mangoes bought by Kumar are 14.
Learn more about mathematical equation here
https://brainly.com/question/15389595
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HELP ASAP I need to submit this in two hours I WILL MARK BRAINLEST
What is the solution to the system of equations?
0 (0, -1)
(-10)
0 (0, 1)
O (10)
Answer:
its (0,-1) ...................................
hy i am in 8th class and my yesterday my math paper anyone help me and anyone in 8th class please reply
Answer:
I'm in 9th grade but i think i can help.
Step-by-step explanation:
Part 2: Questions
What is the total cost of the entire bill (all four meals), including tip? 153.88
Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.
I NEED HELP ON THE LAST 2 QUESTIONS you can use this but make sure you put some other names
Answer:
Answer:
Total amount ÷ number of person's
Step-by-step explanation:
for example:- there are four persons and the total amount they have to pay is ₹2000
Now,
contribution of each person = total amount ÷no.of persons
= ₹(2000 ÷4)
=₹500
Step-by-step explanation:
Suppose a publishing company estimates that its monthly cost is
C(x) = 600x2 + 300x and its monthly revenue is
R(x) = -0.423 + 700x2 – 600x + 500, where x is in thousands of
books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?.
A six sided number cube is rolled twice. What is probability of rolling a 5 and then an even number?
-3c-11+14c=-14c-11
help me lol
Answer:
0
Step-by-step explanation:
-3c-11+14c=-14c-11
+14c
-3c-11+28c = -11
+11
-3c+28c = 0
25c=0
divide both sides by 25
c=0
Answer:
c=0
Step-by-step explanation:
-3c-11+14c=-14c-11
Combine like terms
-11c -11 = -14c -11
Add 11 to each side
-11c-11+11 = -14c -11+11
-11c = -14c
Add 14c to each side
-11c+14c = -14c+14c
3c =0
Divide by 3
3c/3 = 0/3
c =0
PLEASE HELP ME PLEASE AS SOON AS YOU CAN
EXPLAINATION = BRAINLIEST
THANK YOU SO MUCH
Answer:
35.18576
Step-by-step explanation:
use eqation E
Answer:
If the angle is in radians...
Area of sector =½r²¢
Where ¢ is theta.
Since Our angle is degree
We use
Area of Sector = ¢/360 x πr²
¢=theta
radius = Diameter/2
radius = 16/2 = 8m
Area = 126/360 x π x 8²
= 112π/5
=70.37
Helpppp does anyone know
======================================================
Explanation:
We can apply the remote interior angle theorem. Some math books or teachers may refer to this as the "exterior angle theorem". They're the same idea just with different names.
According to that theorem, the interior angles x and 53 add up to the exterior angle 158
x+53 = 158
x = 158-53
x = 105
This theorem only works if neither interior angle is adjacent to the exterior angle. Hence the "remote" part.
----------
If you wanted a slightly longer approach, then let y be the missing angle that isn't marked in the diagram. Angle y is adjacent to the 158 degree angle.
We can find y by noting how 158 and y are supplementary
158+y = 180
y = 180-158
y = 22
Then we use the fact that adding three angles of any triangle always gets us 180 degrees
x+y+53 = 180
x+22+53 = 180
x+75 = 180
x = 180-75
x = 105
Effectively, this example helps reinforce why the remote interior angle theorem is true.
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Find the surface area of the "unrolled" cylinder where a = 4 cm and b= 10 cm.
Leave your answer in terms of Pi
Answer:
= 140.544cm^2
Step-by-step explanation:
Given data
a is the radius=4cm
b is the lenght= 10cm
We two circles, hence the area of the circles is given as
Area= 2(πr^2)
Area= 2(3.142*4^2)
Area= 2(50.272)
Area= 100.544cm^2
Area of the rectangular shape= 4*10= 40cm^2
Hence the total area = 100.544+40
= 140.544cm^2
What is the length of the hypotenuse of the triangle below?
Answer:
Correct option is A
Step-by-step explanation:
According to given question,
[tex]sin 45^{0} =\frac{5\sqrt 2}{h} \\0.707=\frac{5\sqrt 2}{h} \\h=\frac{5\sqrt 2}{0.707} \\h=1[/tex]
Therefore, correct option is A.
What is the product?
Answer:
15a^5 b^15
Step-by-step explanation:
_____________
Question 3
Find the equation of the line joining (-2,4) and (3,7)
Answer:
y = (3/5)x+26/5 or 5y = 3x+26
Step-by-step explanation:
Applying,
The equation of a line in two point form
(y₂-y₁)/(x₂-x₁) = (y-y₁)/(x-x₁)............... Equation 1
From the question,
Given: y₂ = 7, y₁ = 4, x₂ = 3, x₁ = -2
Substitute these values into equation 1
(7-4)/[3-(-2)] = (y-4)/(x+2)
3/5 = (y-4)/(x+2)
5(y-4) = 3(x+2)
5y-20 = 3x+6
5y = 3x+6+20
5y = 3x+26
y = (3/5)x+26/5
Hence the equation of the line is y = (3/5)x+26/5 or 5y = 3x+26
A. The scale along the vertical axis is not appropriate for the data.
B. The intervals along the vertical axis are not equal.
C. The average temperatures of some of the days are not correctly plotted.
D. On January 4 the temperature was higher than any other day.
Answer:
A
Step-by-step explanation:
beacuse it is more reasonable hope this helps
What is the inverse of the function f(x) = 2x + 1?
Answer:
[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]
Step-by-step explanation:
start by replacing f(x) for y:
y = 2x + 1
switch y and x:
x = 2y+1
solve for x by first subtracting 1 from both sides:
2y = x-1
divide 2 from both sides:
y = [tex]\frac{x - 1}{2}[/tex]
replace y with [tex]f(x)^{-1}[/tex]:
[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]
MARKING BRAINLIEST
PLS HELP
Answer:
x ^2 y √ 3 y
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
What is the answer? To this question?
Answer:
20
Step-by-step explanation:
f(x) = 30
30 = 1.8x -5.4
35.4 = 1.8x
x = 35.4/1.8
x = 19.666
Find the value of x in the isosceles triangle shown below.
Answer:
option A
Step-by-step explanation:
Let x = y + y
Now using Pythagoras theorem :
[tex]15^2 = y^2 + 12^2\\225 = y^2 + 144\\225 - 144 = y^2\\81 = y^2\\9 = y[/tex]
Therefore , x = y + y = 18
Answer:
(x/2)²+12² =15²
(x/2)²+144=225
(x/2)²=225-144
x²/4. =81
x² =81×4
x. =√81×4
x. =9×2
x. =18
answer is option A
What is the slope of the function?
Answer:10
Step-by-step explanation:
A prism with a volume of 148 cubic cm is dilated by a factor of 5.5.
The volume of the dilated prism is ___ cubic cm.
volume = 148 × 5.5 cube
= 24623.5 cubic cm
Brayden says that the probability of catching a cold is 1/2 because there are two possible outcomes, catching a cold and not catching a cold. Is he correct? Explain.
Answer plzzzzzzzzzzzzzzzz
Answer:
120 m squared
Step-by-step explanation:
Volume problems are very simple:
Just multiply the base x height x length
So 10 x 2 x 6, which is 120.
Therefore, the volume of this shape is 120 m squared.
Answer:
120 m
Step-by-step explanation:
Simply Multiply all the given measurements so
10m x 2m x 6m = 120m
So as simple as that.
Thank you! ^^
What is the area of a figure with the measurements of 3,6, and 5?
Answer:
I think it is 181m.
Step-by-step explanation:
[tex]by \: imagination \: you \: separate \: all \: the \: shapes[/tex]
you also name it .
I name the triangle area A
I name the rectangle area B
it is a triangle because it has different measurements on its sides.
I name the semi- circle area C.
[tex]area \: of \: a \: triangle \: = \\ \frac{1}{2} \times b \times h \\ \frac{1}{2} \times 5 \times 3 \\ \frac{1}{ 2} \times 15 \\ 7.5[/tex]
[tex]aea \: of \: a \: rectangle \: = l \times b \\ 5 \times 6 = \\ 30[/tex]
[tex]area \: of \: a \: semi \: circle \: = \frac{1}{2 } \times \pi \times {r}^{2} \\ \frac{1}{2} \times 3.14 \times 3 \times 3 \\ \frac{1}{2} \times 3.14 \times 9 \\ \frac{1}{2} \times \frac{314}{10} \times 9 \\ [/tex]
[tex]you \: then \: cancle \: 134 \: by \: 2[/tex]
[tex] = \frac{154}{10} \times 9[/tex]
[tex] = \frac{1431}{10} \\ 143.1[/tex]
[tex]you \: now \: add \: all \: the \: ares \: to \: get \: your \: full \: area \\ 7.5 + 30 + 143.1 \\ = 180.6 \\ to \: the \: nearest \: hundred \: will \: be \: 181m[/tex]
Select the correct answer. Which graph represents the solution to this inequality? A. B. C .
Answer: C
Step-by-step-explanation: Given
- (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side
- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )
- 2 ≤ x + 11 ( subtract 11 from both sides )
- 13 ≤ x , thus
x ≥ - 13
Since x can equal - 13 then a solid circle at - 13 represents the solution
Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.
Then the graph representing the solution is C
If a line moves downward from left to right, it has a
Answer:
Negative slope
Step-by-step explanation:
Answer and Step-by-step explanation:
The answer is that the line has a negative slope.
In an equation, the the slope (m) would be a negative number, looking like this:
y = -mx + b
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