Answer:
Step-by-step explanation:
As it is bad written, i suppose it is
[tex]\dfrac{81^x}{9^{5x-8}} =9^{f(x)}\\\\9^{2x-(5x-8)}=9^{f(x)}\\\\2x-5x+8=f(x)\\\\\\\boxed{f(x)= -3x+8}\\[/tex]
A: What is the perimeter of HOUSE?
perimeter of HOUSE =
(round to the nearest hundredth - two decimal places)
B: What is the length of OH?
(round to the nearest thousandth - three decimal places)
C: What is the midpoint of OU?
D: Which is longer, OH or EH?
E: What is the perimeter of the triangle HOU?
perimeter of triangle HOU
(round to the nearest hundredth - two decimal points)
First calculate distances or lengths(Refer to attachment)
A:-[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]
[tex]\\ \sf\longmapsto 5.3+9+11+9+9.7[/tex]
[tex]\\ \sf\longmapsto 15+29[/tex]
[tex]\\ \sf\longmapsto 44[/tex]
B:-Refer to the attchment
C:-[tex]\\ \sf\longmapsto \left(\dfrac{1+4}{2},\dfrac{1+6}{2}\right)[/tex]
[tex]\\ \sf\longmapsto \left(\dfrac{5}{2},\dfrac{7}{2}\right)[/tex]
D:-EH>OH
E:-[tex]\\ \sf\longmapsto Perimeter[/tex]
[tex]\\ \sf\longmapsto 9.7+5.3+9[/tex]
[tex]\\ \sf\longmapsto 24[/tex]
Which statement is true regarding the graphed functions?
60
10
8.
f
6
4
-6 -5 -4 -3 -2 -12
2
3
4
5 6 X
4+
1.6
900
-8
-10
-12
Answer:
f(0)=g(0) is the only correct option.
Step-by-step explanation:
The value of the function is essentially the value of y in this graph. So it suffices to answer by checking and comparing the y values of both functions.
f(0)=g(0) must be correct as they are on the same point (and thus has the same y value)
f(-2)=4 but g(-2)=-4. So option b is wrong.
Option c is also wrong by checking the values.
The required, true statment among the option for the given graph of functions is f(0)=g(0). Option A is correct.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
From the graph given, it is seen that the two lines intersect at a common point (0, -2)" which means that on the graph provided, there are two lines that meet or cross each other at a specific point in the coordinate plane, which has an x-coordinate of 0 and a y-coordinate of -2. The intersection point (0, -2) is where the x and y values of the two lines are equal, meaning they share a common solution.
This point is sometimes called the point of intersection or the solution to the system of equations formed by the two lines.
Following the above discussion, we can conclude that f(0) = g(0). Option A is correct.
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19. Convert 10,000 feet per second into kilometers per hour.
A. 12073.2 kilometers per hour
B. 10975.6 kilometers per hour
C. 12000.08 kilometers per hour
D. 13000.08 kilometers per hour
9514 1404 393
Answer:
B
Step-by-step explanation:
The exact conversion is ...
[tex]\dfrac{10000\text{ ft}}{1\text{ s}}\times\dfrac{3600\text{ s}}{1\text{ h}}\times\dfrac{3.048\times10^{-4}\text{ km}}{1\text{ ft}}=10972.8\text{ km/h}[/tex]
The closest answer choice is B, 10975.6 km/h.
A hot air balloon went from an elevation of 6,813 feet to an elevation of 3,168 feet in 54 minutes. What was its rate of descent?
Which statement about 6x^2+7x-10 is true?
One of the factors is (x+ 2)
One of the factors is (3x-2)
One of the factors is (2x+5)
One of the factors is (x-5)
Answer:
One of the factors is (x+ 2)
Step-by-step explanation:
[tex]6 {x}^{2} + 7x - 10 \\ = (6x - 5)(x + 2)[/tex]
another factor is (6x - 5)
Help please asap first answer get brainliest
Beging you please
Answers:
12. 2 3/5+1 4/6 = (2+1)+(3/5+4/6) = 3+19/15 = 64/15
13. 2/4*4/6 = 8/24 = 1/3
14. 3/4*3/6 = 9/24 = 3/8
15. 2/6*4/6 = 8/36 = 2/9
16. 2/4*1/6 = 2/24 = 1/12
17. 3/4/1/6 = 18/4 = 9/2
18. 3/4/2/4 = 12/8 = 3/2
19. 3/6/4/6 = 18/24 = 3/4
20. 5/7+2/7 = 7/7 = 1
21. 4/5+5/7 = 53/35
22. 3/5+5/5 = 8/5
23. 1/6-1/6 = 0
24. 3/7-2/3 = -5/21
25. 3/5-2/7 = 11/35
Sum is -4
It is an integer question
Answer:
Yes, this is an integer question.
Mark buys last year's best-selling novel, in hardcover, for $23.20. This is with a 20% discount from the original price. What was the original price of the novel?
Answer:
[tex]29[/tex]
Step-by-step explanation:
Let x be the original price.
( 1 - 20% ) x = 23.2
[tex] 0.8x = 23.2[/tex]
[tex] \frac{0.8x}{0.8} = \frac{23.2}{0.8} [/tex]
[tex] x = 29[/tex]
You deposit $1500 in an account that earns a simple interest at an annual rate of 3%. How long must you leave the money in the account to earn $900 in interest?
9514 1404 393
Answer:
20 years
Step-by-step explanation:
The interest earned is found using the formula ...
I = Prt
where principal P is invested at rate r for t years. Solving for t, we find ...
t = I/(Pr) = $900/($1500×0.03) = 900/45
t = 20
You must leave the money in the account for 20 years to earn $900 in interest.
A rectangle has a length of 2 6√
and width of 6√
. Find the perimeter of the rectangle.
[tex]\\ \rm\Rrightarrow Perimeter=2(L+B)[/tex]
[tex]\\ \rm\Rrightarrow Perimeter=2(2\sqrt{6}+\sqrt{6})[/tex]
[tex]\\ \rm\Rrightarrow Perimeter=2(3\sqrt{6})[/tex]
[tex]\\ \rm\Rrightarrow Perimeter=6\sqrt{6}[/tex]
The perimeter of the rectangle will be 6√6 units.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length. The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be given as,
Perimeter of the rectangle = 2(L + W) units
A rectangle has a length of 2√6 and a width of √6. Then the perimeter of the rectangle is given as,
P = 2 (2√6 + √6)
Simplify the equation, then we have
P = 2 (2√6 + √6)
P = 2 (3√6)
P = 6√6 units
The perimeter of the rectangle will be 6√6 units.
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Find the perimeter of a rectangle with a length of 6x+3 and a width of -2x-5.
L=6x+3
B=-2x-5
[tex]\\ \rm\longmapsto Perimeter=2(L+B)[/tex]
[tex]\\ \rm\longmapsto Perimeter=2(6x+3-2x-5)[/tex]
[tex]\begin{gathered}\\ \rm\longmapsto Perimeter=2(4x-2)\end{gathered}\begin{gathered}\\ \rm\longmapsto Perimeter= 8x-4\end{gathered}[/tex]
A bag of kibble and 4 cans of cat food cost $8.40. The kibble
costs $6. Use the equation 4x+6= 8.40 to find x, the cost of
one can of cat food.
A $0.65
B $0.60
C $0.30
D$0.70
Answer:
B: $0.60
Step-by-step explanation:
4x+6=8.40
4x=2.40
2.40 / 4 = .6
.6 = 0.60 or 60 cents
Answer:$0.60
Step-by-step explanation:
A bag a kibble is 6$
Subtract the cost for the kibble to the cost of all products.
$8.40
- $6.00
$2.40... is the cost for all 4 cans of cat food.
Then divide $2.40 by 4... That will be B) $0.60
14. The cost of 10 dozen of caps is Rs.800. How many caps can bebought for Rs.200.
Answer:
123 456lcm divison method
In a group 40% like football ,70% like cricket and 30% like both games
Answer:
40%
Step-by-step explanation:
40+30+70=140
180-140= 40
7 + 3x - 12x = 3x+ 1
Solve for x
Answer:
x = 1 /2
Step-by-step explanation:
isolate the variable by dividing each side by factors that dont contain the variable
decimal form will be: x = 0.5
hope that helps>3
Please help me with this Geometry problem
<333
The owner has 8 employees. Seven of them
earn $ 210, $200, $190, $180, $300, $150,$90 a
day. What does the 8th employee get paid, if the
average pay for all 8 employees is $200?
3)There are 9 colorful socks in a drawer: 3 green, 2
purple,
2 Navy, 1 yellow, and 1 pink. What's the
probability of picking a green putting it on and
then choosing a purple?
Answer:
1/24 chance
Step-by-step explanation:
To begin you would need to find the probability of picking a green sock which would be 3/9; and you could simplify this to 1/3.
After that you need to find the probability of picking a purple sock out of the 8 left, which would provide you with 1/8. To find the probability of both you would multiply 1/8 by 1/3 to find the combined probability which would leave you with 1/24.
I need help with this question
Given the triangle below, find the angle θ in radians. Round to four decimal places.
Answer:
θ = 0.9626
Step-by-step explanation:
Hi there!
We're given the hypotenuse and the leg adjacent to θ in this right triangle. To find θ, we can use the cosine ratio:
[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Plug in the given information
[tex]\displaystyle cos\theta=\frac{4}{7}[/tex]
Use the inverse cosine ratio
[tex]\displaystyle \theta=cos^-^1(\frac{4}{7})[/tex]
Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)
[tex]\displaystyle \theta=0.9626[/tex]
Therefore, θ = 0.9626 when rounded to four decimal places.
I hope this helps!
Answer:
theta = 0.9626 radians
Step-by-step explanation:
cos theta = a/h
cos theta = 4/7 = 0.5714
so, the angle theta = arc cos 0.5714 =
55.1520 °
in radians => 55.1520 × π / 180°
= 0.9626 radians
WILL MARK AS BRAINLIEST
Answer:
... uhh I'm only in middle school but uhh I think 25??
Which of the following sets refer to vertical angles from the diagram?
Lines and Angles
Question 29 options:
∠AOB and ∠BOC
∠BOF and ∠HOD
∠BOD and ∠HOD
∠COD and ∠HOG
Angle ∠COD and angle ∠HOG are vertically opposite angles. Then the correct option is C.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
The diagram is given below.
Angle ∠COD and angle ∠HOG are vertically opposite angles.
Hence, Angle ∠COD and angle ∠HOG are congruent.
Then the correct option is C.
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Help I need an equation and an answer
37. Mia won $77 in a raffle at her team's fundraiser. Later she split it amongst her friends and gave $14 to each, keeping $21 for herself. How many friends did she share it with?
she share it to thirty seven people
Please help
Solve the inequality.
|14 – 5x] > 8
[?]
x <
or x >
A
Answer:
x< -4/1 or x > 6/5
If our answers are different, just say so :)
If AB is parallel to DE, then CD is:
Answer:
4
Step-by-step explanation:
because BC=CD as it is parallel that means all the sides are equal
The value of CD is 20/3.
The correct option is (A).
What is Similarity in Triangles?
Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
In ACB and ECD,
angle CAB= angle DEC
angle CBA= angle EDC
angle DCE = angle ACB
By, AA similarity criteria,
ΔACB~ΔECD
Now,
AC/CE= BC/CD
3/5=4/CD
CD= 20/3
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If a = 3+2✓2 then find the value of a^2+1/a^2
Pls answer first to answer get the brainliest crown
Pls answer ASAP
Answer: 34
Step-by-step explanation:
[tex]a=3+2\sqrt{2} \\\\\dfrac{1}{a} =\dfrac{1}{3+2\sqrt{2}} =\dfrac{3-2\sqrt{2}}{(3+2\sqrt{2})(3-2\sqrt{2})} =\dfrac{3-2\sqrt{2}}{3^2-2^2*2} =3-2\sqrt{2}\\\\\\a+\dfrac{1}{a} =3+2\sqrt{2}+3-2\sqrt{2}=6\\\\(a+\dfrac{1}{a})^2=6^2=36=a^2+\dfrac{1}{a^2}+2\\\\\\a^2+\dfrac{1}{a^2}=36-2=34\\[/tex]
Evaluate each using the values given.
m-((-3) + p)-q; use m= 10, p=-6, and q = 10
Answer:
9
Step-by-step explanation:
10-((-3) + -6)-10
10-(-9)-10
10+9-10
9
∠2= ∠5 , because they are
(I) Corresponding angles
(II) Alternate angles
(III) Co- interior angles
(IV) Linear pair
[tex] \sf \red {alternate \: angles}[/tex]
[tex] \huge \purple{ \underbrace{ \overbrace{Hope \: it \: helps}}}[/tex]
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) {-4, 8/3, -16/9, 32/27, -64/81, . . . } an =
Step-by-step explanation:
a1 = -4 = -4/1, a2 = 8/3
r = a2/a1 = (8/3) / (-4/1) = -2/3
the formula :
an = a1. r^(n-1)
so,
an = (-4). (-2/3)^(n-1)
Step-by-step explanation:
[tex]-4, \dfrac{8}{3}, -\dfrac{16}{9}, \dfrac{32}{27}, -\dfrac{64}{81},..., (-1)^n\dfrac{2^{n + 1}}{3^{n - 1}}, ...[/tex]
Help please ASAP!!!!!
Answer:
answer is c because you gota tranlate it left
Step-by-step explanation:
