What is the solution to the equation below? 5^x=26

Answers

Answer 1
5^x = 26
log5 5^x = log5 26
(log 5 & 5 cancel out)
x = log5 26

use change of base formula

x = (log 26)/(log 5)

^ if you need an exact number just put that into any calculator

Related Questions

from 56 people to 63 people

Answers

Answer:

uhh 7 people joined?

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

from 56 people to 63 people theres 7

56 - 63 is 7

The graph shows the solution to which system of inequalities?

21 ≤ x2 + (y + 6)2 and 84 ≤ (x + 8)2 + y2
21 ≤ x2 + (y + 6)2 and 84 ≥ (x + 8)2 + y2
21 ≥ x2 + (y + 6)2 and 84 ≤ (x + 8)2 + y2
21 ≥ x2 + (y + 6)2 and 84 ≥ (x + 8)2 + y2

Answers

Answer:

D

Step-by-step explanation:

The shaded area is the intersection of the two inner areas of the two circles.

Because the area is inside both circles, the two inequalities must be less than or equal to the equation of the circles.

(If the inequalities are greater than or equal to the equation of the circles, the shaded areas will lie outside the circle.)

Hence, choice D is the correct choice.

It may assist to rewrite the inequalities such that it becomes apparent the equations are indeed less than or equal to the constant:

[tex]\displaystyle x^2 + (y+6)^2 \leq 21 \text{ and } (x+8)^2 + y^2 \leq 84[/tex]

Answer:

D

Step-by-step explanation:

Now that Elizabeth arranged the door prizes, she needs to set up table centerpieces. Elizabeth wants to make sure that every table at the party is set perfectly. She needs to put the exact same amount of balloons and flowers at each table. Elizabeth got a special price from party city and purchased 84 balloons and 96 flowers. What is the greatest number of tables she can have at the party? Show your work

Answers

Answer:

i am not really sure but

Step-by-step explanation:

please help for this zearn lesson if u can solve it please tell me the answer

Answers

Answer:

q = 6

Step-by-step explanation:

30/5 = 6

5(6)/5

30/5

6

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!!

8 is what percent of 16?

Answers

Answer:

8 is 50% of 16

Step-by-step explanation:

since 8 is half of 16

The lifetime in miles for a certain brand of tire is normally distributed with a mean of 22,000 miles and a standard deviation of 3,100 miles The tire manufacturer wants to offer a money-back guarantee so that no more than 3% of tires will qualify for a refund. What is the minimum number of miles the manufacturer should guarantee that the tires will last?

a. 15,800 miles
b. 16,170 miles
c. 25,007 miles
d. 27,828 miles

Answers

Step-by-step explanation:

3% = 0.03

we are looking for the 3rd percentile of Z.

checking the Z-table we find as the entry closest to 0.03 to be 0.0301 at z = -1.8 and 0.8.

so, the 3rd percentile of Z is -1.88

the cutoff number (the number of miles, where max. 3% of the tires will qualify for a refund) is

mean value + Z× standard deviation

22000 + -1.88 × 3100 = 16,172 ≈ 16,170

so, b. is correct

Which choice is equivalent to the expression below?
5x2-3,2 + x2
O A. 2x² √2
OB. 5x22
O C. 6x1/2 - 3/3
O D. 3x2

Answers

Answer:

C

Step-by-step explanation:

Explanation is on picture.

Hope that helps :)

Answer:

c

Step-by-step explanation:

you can only simplify this part

[tex]5x\sqrt{2} +x\sqrt{2} =6x\sqrt{2}[/tex]

so the rest would remain the same

You invested $1,810 into an account which pays 3% interest per year. How much interest will you earn after a year?​

Answers

Step-by-step explanation:

interest =

[tex] \frac{3}{100} \times 1810[/tex]

therefore

interest = $54.3 after a year

pls give brainliest

Answer:

54.3

Step-by-step explanation:

Interest earned = Prt

where P is the initial investment and r is the interest rate and t is time

Interest earned = 1810*0.03*1=54.3

Utilize graphing to find the solution to
the following system of equations.
y = 5x - 10 AND – 5x + y = 40
A
All Real Numbers
B
No Solution

Answers

Answer:

Step-by-step explanation:

No solutions, the two lines are parallel.

An easy way to spot it is to put the second in slope-intercept form ([tex]y=5x+40[/tex]) and notice they have the same slope

what is 4/? - 2/5 = 2/5​

Answers

Answer:

?=5

Step-by-step explanation:

4/5-2/5=2/5

First we must replace ? with x for an unknown value and then solve.

A
+
55
60
55
70
75
80
85
90
B
Н
55
60
65
70
75
80
85
90
с
H
H
-
55
60
65
70
75
80
85
90
D
H
1
+
60
55
65
70
75
80
85
90
2) Four sets of data are shown in box-and-whisker plots. Which set has the largest MEDIAN?
Α)Α
B) B
OC
D) D

Answers

2) c has the largest median

If the least value the variable k can be is 12, which of the following inequalities best shows all the possible values of k?


k < 12

k > 12

k ≤ 12

k ≥ 12

Answers

Answer:

k≥12

Step-by-step explanation:

if k's smallest amount is 12, k has to be bigger (greater than) or equal to 12

therefore:

k≥12

is 3.564 greater than 2.07636?

Answers

Answer:

Of course yes

Step-by-step explanation:

We first look at the ones place. So is 3>2? Yes, so the answer is yes.

If it doesn't give me the perimeter, how do i find x from this? thank you!​

Answers

The way the angles are labeled tell you that they are all congruent. The two triangles you see here also share the side that joins them. Then by the angle-side-angle postulate, the two triangles are congruent, so x + 23 = 13, or x = -10.

andrea cycles 9 km on her bike in 2 hours. calculate her average speed in kilometers per hour.​

Answers

Answer:

4.5km/h

Step-by-step explanation:

Here we know that she does 9 km per 2 hours. If we know how much she can travel in 2 hours it's very easy to find out how much she travels in 1. Because half of 2 hours is one hour. So we can simply half 9 km to find how much she travels in 1 hour:

9/2 = 4.5

4.5km/h

I hope this makes sense :)

Answer:

4.5 km per hour

.........

.....

The quadrant in which (5, -12) is located.

Answers

(5,-12) is located in the fourth quadrant.

Because 5 being positive and 12 being negative it lies in the 4th quadrant.

Step-by-step explanation:

Hope it helps you!!

you deposit 3000 in an account earning 7% interest compound monthly. how much will you have in the account in 10 years

Answers

y = a(1+x)^t/p

This is the compound growth formula.

y is total

a is initial amount

x is percent growth as decimal

t is total time

p is period of frequency

Always make t and p the same unit of time, so in this case we can turn both variables into months. There are 120 months in 10 years.

So,

y = 3000(1.07)^(120/1)

y = 10073365.15 dollars


The answer is 2 bro trust

Which quadratic function is represented by the graph?

y = 0.5(x + 2)2 + 4
y = 0.5(x + 3)2 – 0.5
y = 0.5(x – 3)2 – 0.5
y = 0.5(x – 2)2 + 4

Answers

Answer: C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, - 0.5), thus

y = a(x - 3)² - 0.5

To find a substitute either of the x- intercepts into the equation.

Using (4, 0), then

0 = a(4 - 3)² - 0.5 = a - 0.5 ( add 0.5 to both sides )

a = 0.5

y = 0.5(x - 3)² - 0.5 ← equation of quadratic function

please help I will give brainiest

Answers

Answer:

7

Step-by-step explanation:

The letter for sausage or red sauce is S at the end and R in the middle.

Counting, there is 7 outcomes that have either S at the end or R in the middle.

Consider the function y=9-x^2 , where x>3 . What is the inverse of the function? What is the domain of the inverse? Show all of your work for full credit. (Hint: Swap and in the domain as well as the function.)

Answers

should be y=-7x because you minus the 9 and the two and because the 9 is negative it should be negative

The quantity of a number minus four, divided by three is five

Answers

Answer:

19

Step-by-step explanation:

because you inverse the operation

5 ×3 = 15

15 + 4 = 19

Find the maximum and minimum values of f(x,y) = 2+2x+4y-x^2-y^2 on the triangular region in the first quadrant bounded by the lines x=0, y0, y=9x.

Answers

I think your question seems like :-

Find the maximum and minimum values of f(x,y) = 2+2x+4y-x²-y² on the triangular region in the first quadrant bounded by the lines x = 0, y = 0, y = 9-x. The reason is below :

If you see carefully, the given lines were x = 0, y = 0, y = 9x , also these lines forms a Triangle in first quadrant (Given) , but these all lines doesn't form a triangle in 1st quadrant , we can't change the other two lines (As those two lines will work as permanent sides and support for the triangle) but third one can be , also neither 9 + x nor (9/x) can't form triangle in 1st quadrant with the given other two lines .Only with y = 9 - x the given situation can be achieved

But before starting the question let's recall some of the concepts :-

For a given function let it be f(x,y) ,

f(x,y) can have maximum or minimum if AC - B² > 0 , as per A < 0 and A > 0 , if A < 0 then maxima at critical points and if A > 0 , then minima at critical points f(x,y) have saddle points if AC - B² < 0 From AC - B² = 0 , nothing can be concluded

Where ,

[tex]{\boxed{\bf{A=\dfrac{\partial^{2}f}{\partial x^{2}}}}}[/tex]

[tex]{\boxed{\bf{B=\dfrac{\partial^{2}f}{\partial x\partial y}}}}[/tex]

[tex]{\boxed{\bf{C=\dfrac{\partial^{2}f}{\partial y^{2}}}}}[/tex]

Now , consider the function ;

[tex]{:\implies \quad \sf f(x,y)=2+2x+4y-x^{2}-y^{2}}[/tex]

Partial Differentiating both sides w.r.t.x

[tex]{:\implies \quad \sf \dfrac{\partial f}{\partial x}=2-2x}[/tex]

Now , partial differentiating both sides w.r.t.y

[tex]{:\implies \quad \sf \dfrac{\partial^{2}f}{\partial x\partial y}=0}[/tex]

Now , consider ;

[tex]{:\implies \quad \sf \dfrac{\partial f}{\partial x}=2-2x}[/tex]

Partial differentiating both sides w.r.t.x

[tex]{:\implies \quad \sf \dfrac{\partial^{2}f}{\partial x^{2}}=-2}[/tex]

Now , consider ;

[tex]{:\implies \quad \sf f(x,y)=2+2x+4y-x^{2}-y^{2}}[/tex]

Partial differentiating both sides w.r.t.y

[tex]{:\implies \quad \sf \dfrac{\partial f}{\partial y}=4-2y}[/tex]

Now , partial differentiating both sides w.r.t.y

[tex]{:\implies \quad \sf \dfrac{\partial^{2}f}{\partial y^{2}}=-2}[/tex]

Now to find the critical points , first order partial derivative of f(x,y) both w.r.t.x and w.r.t.y must be 0. So , if you equate them to 0 , you will get x = 1 and y = 2. So critical point is only one i.e (1,2)

Now , from the above conditions , let calculate AC - B² first , from which we will get maxima or minima

[tex]{:\implies \quad \sf (-2)(-2)-(0)^{2}}[/tex]

[tex]{:\implies \quad \sf 4\> 0}[/tex]

So , AC - B² > 0 and also A < 0 , so maxima at (1,2) , to find maxima we need to put x = 1 , y = 2 in f(x,y) i.e f(1,2) = 2 + 2(1) + 4(2) - 1² - 2² = 7 . Now , for minima , draw the triangle see attachment 1 . Now , in the attachment critical points are (0,9) , (0,0) and (9,0) . Now , we need to find f(x,y) at these all points too . If you calculate then you will get f(0,9) = -43 , f(0,0) = 2 and f(9,0) = -61 , out of which -61 is minimum

So , the required maxima and minima are 7 and -61

Note :- Also , refer to the attachments no. 2,3,4 as well for why I choosed the third line to be 9 - x rather than others.

choose the sentence that complete the fact family 5×6=30 30÷6=5 6×5=30 which one is correct a 30÷5=6 b 30÷3 =10 c 6÷2=3 d 30÷15=2 is it abc or d​

Answers

Answer:

a 30÷5=6

Step-by-step explanation:

Because from the fact the numbers that were used were 5,6and30.

they solved for 5×6=30,30÷6=5and6×5=30. which means it is left with 30÷5=6.

hope this helps.

Solve the inequality. Then graph the solutions on a number line. 20 > - 4(2x - 7)

Answers

Answer:

1

Step-by-step explanation:

Multiply -4 with 2x and -7

Then collect like terms

Divide both sides by the co-efficient of x

Raul added 1.72x10^4 to 8x10^4 and got the sum 9.72x10^10. do you agree with his answer? explain why you agree or disagree

Answers

the answer is : 9.72×10^4 or 972×10^2

Step-by-step explanation:

l didn't agree with the answer because

(1.72×10^4 + 8×10^4)

form above take common i.e., 10^4 so we get,

10^4 (1.72+8.00)

10^4(9.72)

so we get the answer is : 9.72×10^4 or

(972÷100)10^4

972 × 10^-2 ×10^4

972× 10^(-2+4)

972× 10^2

Let f(x) be the function 4x2 - 6x + 11. Then the quotient
f(10 + h) – f(10)
can be simplified to ah + b for:
h
a
and
b

Answers

[tex]f(x) = 4 {x}^{2} - 6x + 11[/tex]

[tex]f(10 + h) = 4 ({10 + h})^{2} - 6(10 + h) + 11 \\ [/tex]

[tex]f(10 + h) = 4(100 + 20h + {h}^{2}) - 60 - 6h + 11 \\ [/tex]

[tex]f(10 + h) = 400 + 80h + 4 {h}^{2} - 60 - 6h + 11 \\ [/tex]

[tex]f(10 + h) = 4{h}^{2} + 74h + 351[/tex]

_____________________________________________

[tex]f(10) = 4 ({10})^{2} - 6(10) + 11[/tex]

[tex]f(10) = 400 - 60 + 11[/tex]

[tex]f(10) = 351[/tex]

_____________________________________________

Thus :

[tex] \frac{f(10 + h) - f(10)}{h} = \\ [/tex]

[tex] \frac{4 {h}^{2} + 74h + 351 - (351)}{h} = \\ [/tex]

[tex] \frac{4 {h}^{2} + 74h }{h} = \\ [/tex]

[tex] \frac{4 {h}^{2} }{h} + \frac{74h}{h} = \\ [/tex]

[tex]4h + 74[/tex]

_____________________________________________

[tex]ah + b[/tex]

[tex]4h + 74[/tex]

So :

[tex]a = 4[/tex]

[tex]b = 74[/tex]

10
What is the sum of the geometric series
6(2)^n n = 1?

A. 15.658

B. 6,138

C. 12.276

D. 756

Answers

Answer:

The sum is 12276 . 

Step-by-step explanation:

This expression can be written as:Σ10i=1(6×2n)=6×Σ10i=12n

The last expression is a sum of a finite geometrical sequence for which: a1=2,q=2,n=10. This sum can be calculated as:S10=2×1−2101−2=2×210−12−1=2×(210−1)==2×1023=2046So the value of the first expression is: 6×2046=12276

Mark me brainliest!!

Find angle C, please help me out.

Answers

Answer: 98 degrees

Step-by-step explanation:

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore: x + 3x+2 = 130

Combining like terms gives: 4x+2 = 130

Solving for x: x = 32

Substituting the value of x for the value of angle C: 3(32) +2

Simplifying: 98 degrees.

angle C is 96°. i’ll attach an image of my work!

Which of the ratios below is equivalent to 1:3? Select all that apply

Answers

We need the answer choices to help!

Beth and her father have a large model railroad in their basement. Beth figured out that the equation y = 260/3x relates the length of an item on her model railroad to the length of the real thing, where x is the size on the model and y is the real object’s size. Beth’s uncle has a different model railroad in his home. It has a different scale. He put together the following table for Beth.

I DONT GET IT

Answers

The scale factor used to represent the model from the real object size is y = (260/3)x

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the real object size and x represent the size of the model.

Given that:

y = (260/3)x

The scale factor used to represent the model from the real object size is y = (260/3)x

Find out more on equation at: https://brainly.com/question/2972832

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Even though John is a very skilled and talented auto mechanic, his repair shop still failed due to his lack of skills in finance, marketing, customer service, and employee management. This common scenario is known as:______. Turn the following simple sentences into complex ones :-1. His silence proved his innocence.2. He is not a man to commit such mistake.3. In spite of his poverty he is happy.4. He is too honest to take bribe.5. He is honoured for his honesty. How does the author support the main idea? Use evidence from the text to support your answer. Commonlit: THE FIRST TIME JOHN LEWIS AND I INTEGRATED THE BUSES An externality is: a. always a benefit to the recipient. b. always a detriment to the recipient. c. an activity that occurs in a business which is unknown to management. d. unintended benefits or costs imposed on third parties as a result of economic activity. e. an act, caused by a firm located in this country, which has an effect on a person in a foreign country. Four ways in which one's acceptance can influence effective communication. Which of these is TRUE of a secondary economic activity?A) It manufactures finished goods hello humans ~Which one of the following is not a method of food preservation?SaltingDryingBoilingPickling Question 9 of 15What is the reverse of "multiply by 4"?O A. divide byB. divide by 4O C. subtract 4O D. add 4 HELPPP!!! BRIANLEST??? if f(x)=-2x+7, what is f(1/2x+3) equal to? ((12 3)2 (18 32)) (4 2) The _____ emphasized the rejection of spiritual or religious explanations of crime in favor of the view that offenders use their reasoning in deciding to commit crime. If the measure of 5 leyes de los hablantes indgenas The id personality structure is influenced by the __________ principle, which is the instinctual drive to reduce tension through immediate gratification of urges. A. Unconscious B. Pleasure C. Reality D. Anxiety. Regarding control charts, changing from two-sigma limits to three-sigma limits: A. decreases the probability that the process average will change. B. increases the probability of concluding nothing has changed, when in fact it has. C. decreases the probability that defects will be generated by the process. D. does not change the probability of making type I or type II errors. E. increases the probability of searching for a cause when none exists. Which sentences from a source should you use as direct quotes?1 sentences that sound really interesting when you read them out loud2 none of the above3 sentences that are related to your main points and written in an interesting way4 sentences that provide basic information about your topic what is amazon company? Find the missing number so that the equation has no solutions. x 5 = 3x + 8 A right prism has a triangle base. The length of the base is 12 yards and the height of the base is 3 yards. The height of the prism is 3.5 yards. What is the volume of the prism?