Solve the exponential equation. 16x = 0.5 -4 -1/4 1/4

Answers

Answer 1

Answer:

x = -1/4

Step-by-step explanation:

16 ^x = 1/2

Rewiting as

2^4^x = 2 ^ -1

We know that a^b^c = a^(b*c)

2 ^ (4x) = 2^ -1

The bases are the same so the exponents are the same

4x = -1

Divide by 4

4x/4 = -1/4

x = -1/4


Related Questions

Corsi et al. (2007) conducted a study of the factors mediating whether injection drug users enter a drug treatment program. In their sample of 491 drug users, 38.1% were single; 27.5% were married or had a partner; and 34.4% were divorced, separated, or widowed. Of the drug users who actually entered a treatment program, 67 were single; 66 were married or had a partner; and 61 were divorced, widowed, or separated. What kind of statistical chi-square test should Corsi use to analyze the data?

Answers

Answer:

answer mine i will answer yours

Step-by-step explanation:

Asap help like 911 help please

Answers

Answer:

Brainleist!

Step-by-step explanation:

See picture

Name the line and plane shown in the diagram. I will make you a brainllest

Answers

Answer:

see below

Step-by-step explanation:

The line is AB with ↔ over it

The Plane requires 3 letters not all in a line

The plane name is ABD

The cost of endless chicken wings and sauce at resturant X is $10. The cost of chicken wings at Resturant Z is $0.50 per wings plus a one-time $1.50 charge for sauce. The total cost, c, of n chicken wings can be represented by a system of equations.

Answers

Answer:

10=.50n+1.50

Step-by-step explanation:

The total cost, c, of n chicken wings can be represented by a system of equations as follows c = 0.50n + 1.50

c = total cost

n = number of chicken wings

Therefore,

The cost of chicken wing at restaurant Z is $0.50 per wings plus a one time $1.50 charge for sauce.

The system of equation that represent the system is as follows:

c = 0.50n + 1.50

The one time fee for sauce is just like a constant in the equation.

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Find the equation of a

parabola with focus (6,0)

and vertex at the origin. Show all steps and explain please

Answers

Answer:

If your vertex is at the orgin you can't have a point on (6,0)

Step-by-step explanation:

Answer:

y^2=2/3x

Step-by-step explanation:

Since the vertex is at the orgin and the focus is on the right side of the x axis,

the parabola will open right!

(h,k)

it would be a y^2=4px equation

6/4 = 2/3

Just always divde four by the focus

Solve the following quadratic equations
[tex]x { }^{2} - x - 42[/tex]
[tex]x {}^{2} + x - 6[/tex]
[tex]r {}^{2} - 25[/tex]

Answers

Answer:

see explanation

Step-by-step explanation:

To solve these equations equate them to zero, that is

x² - x - 42 = 0

Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)

The factors are - 7 and + 6, since

- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus

(x - 7)(x + 6) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 6 = 0 ⇒ x = - 6

Solutions are x = - 6, x = 7

---------------------------------------------------------

x² + x - 6 = 0 ← in standard form

(x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

Solutions are x = - 3, x = 2

------------------------------------------------------------

x² - 25 = 0 ( add 25 to both sides )

x² = 25 ( take the square root of both sides )

x = ± [tex]\sqrt{25}[/tex] = ± 5

Solutions are x = - 5, x = 5

Which equation has a contant of proportionality equal to 1/2

Answers

Answer:

c

Step-by-step explanation:

1  =  3

2         6

Cross multiply:

1 * 6 = 2 * 3

Simplifying

1 * 6 = 2 * 3

Multiply 1 * 6

6 = 2 * 3

Multiply 2 * 3

6 = 6

Add '-6' to each side of the equation.

6 + -6 = 6 + -6

Combine like terms: 6 + -6 = 0

0 = 6 + -6

Combine like terms: 6 + -6 = 0

0 = 0

Solving

0 = 0

find ABD
help please!!

Answers

Answer:

20 degrees

Step-by-step explanation:

If BD is the angle bisector of ABC, then ABD must equal half of that. 40/2=20 degrees. Hope this helps!

Answer:

[tex]m\angle ABD =20^\circ[/tex]

Step-by-step explanation:

According to the given statement the two angles are equal.

[tex]3x-1=34-2x\\\\\Rightarrow x=7\\\\m\angle ABD = 3(7)-1 = 20^\circ[/tex]

Best Regards!

If you start with 2 and count by 3s until you reach 449, you will get the sequence: 2, 5, 8, 11, …, 449. If 449 is the Nth number, what is the value of N?

Answers

Answer:

150

Step-by-step explanation:

The terms in the sequence form an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

2 + 3(n - 1) = 449

2 + 3n - 3 = 449

3n - 1 = 449 ( add 1 to both sides )

3n = 450 ( divide both sides by 3 )

n = 150



A relação entre o tempo e a distância percorrida pelo ciclista é uma função? Justifica.

Answers

Answer: Yes, it is a function.

Step-by-step explanation:

This question is:

"A relation between time and distance traveled by a biker is a function?"

Well, as you may know, a function is a relation where each value in the domain or input, has only linked one value in the range or output.

In this relation the domain is time and the range is the distance.

Now, as you know, at each given time, the distance of the biker can be only one (he can not be at different locations at the same time) so this relation is actually a function.

There are 59 chips numbered from 1 to 59 placed in a barrel. One chip is randomly pulled from the barrel. What is the probability that the number on the chip is greater than or equal to 44? A. 16/17 B. 43/59 C. 43/44 D. 16/59

Answers

Answer:

D

Step-by-step explanation:

59 - 44 + 1 = 16.

16/59

Please mark as brainliest!

Answer:

D

Step-by-step explanation:

count 44,45,46... , then count how many numbers you counted

5-star rating for right answer

Answers

Answer:

B(3, 8 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

let the coordinates of B = (x, y )

Then apply the formula and equate coordinates to midpoint coordinates, that is

x = [tex]\frac{1}{2}[/tex] (x + 1) = 2 ( multiply both sides by 2 )

x + 1 = 4 ( subtract 1 from both sides )

x = 3

-----------

y = [tex]\frac{1}{2}[/tex] (y + 2 ) = 5 ( multiply both sides by 2 )

y + 2 = 10 ( subtract 2 from both sides )

y = 8

----------

Thus B = (3, 8 )

A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.

Answers

Answer:

D. a = 29, b = 16, c = 24, d = 30, e = 22

Step-by-step explanation:

got it right on edge

The number of students who like both algebra and geometry is 27.

What is a Venn diagram?

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.

The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.

The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.

The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).

We are given that:

A = 45

G = 53

U = 75

U - (A ∪ G) = 6

Now,

U - (A ∪ G) = 6

75 - (45 + 53 - A ∩ G) = 6

27 = A ∩ G

Therefore,

The number of students who like both algebra and geometry is 27.

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The complete question.

A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.

Find the number of students who like both algebra and geometry.

1 Point
Write a mathematical sentence that expresses the information given below.
Use cas your variable name. If necessary:
type < = to means
or > = to mean >.
Henry had charged 933 dollars to his credit card. Even after the cost of his
next purchase, he was still under his credit limit of 1500 dollars.
Answer here

Answers

Answer:

933+x < 1500

Step-by-step explanation:

Let x be the next purchase

The first charge of 933 and the next purchase is less than 1500 dollars

933+x < 1500

Answer:

1500>933+c

Step-by-step explanation:

,............

I need help appreciate it

Answers

Answer:

B. 1/25

Step-by-step explanation:

This question asks us to find (-2), or f(x) when x is equal to -2.

We know that f(x)=5^x. We also know that we are trying to find f(-2). Therefore, we must substitute -2 in for x.

f(x)=5^x

x= -2

f(-2)= 5^-2

Negative exponents follow the rule:

x^-b= 1/x^b

Rewrite the exponent according to this rule.

5^-2=1/5^2

f(-2)= 1/5^2

Evaluate the exponent in the denominator.

5^2=5*5=25

f(-2)=1/25

f(-2) is equal to 1/25, therefore B is the correct answer.

Answer:

Ok,you just need to replace the x for -2

F(x)=5^x

[tex]f(-2)=5^{-2}[/tex]

[tex]f(-2)=\frac{1}{25}[/tex]

So, the correct answer is B

I hope this help you :)

A tent in the shape of a triangle prism is made using the following piece of fabric.

Find the surface area of the fabric. Explain your reasoning

Answers

Answer:

85.84 ft²

Step-by-step explanation:

The surface area of the fabric would be the total net area of the shape of the tent covered.

Thus, surface area = area of the 3 rectangular faces + area of the 2 triangular faces

From the diagram given, the 3 rectangular faces have the same dimensions as follows:

L = 6ft

W = 4ft

Area of the 3 rectangular faces = 3(6*4) = 3(24) = 72ft²

The 2 triangular faces have the same dimensions as follows:

B = 4f

H = 3.46ft

Area of the 2 triangular faces = 2(½*B*H)

= 2(½*4*3.46)

= 2(2*3.46)

= 2(6.92)

= 13.84 ft²

Surface area of fabric used to cover the triangular tent = 72ft² + 13.84ft² = 85.84 ft²

Answer:

85.84

Step-by-step explanation:

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

4 * 10 ^-4

Step-by-step explanation:

2 * 10 ^- 6    * 2 * 10 ^2

Multiply the numbers

2*2 = 4

Add the exponents

10 ^ (-6+2) = 10 ^-4

4 * 10 ^-4

Whats is rusult of : ( - 2x² )³ . ( - 3x )²

Answers

Answer:

[tex]-72x^8[/tex]

Step-by-step explanation:

=> [tex](-2x^2)^3*(-3x)^2[/tex]

=> [tex]-8x^6*9x^2[/tex]

=> [tex](-8*9) *(x^6x^2)[/tex]

When bases are same powers are to be added

=> [tex](-72)(x^{6+2})[/tex]

=> [tex]-72x^8[/tex]

Answer:

[tex]- 72x^{8}[/tex]

Step-by-step explanation:

[tex]( - 2x^2 )^3 \times ( - 3x )^2[/tex]

Distribute the exponents to the brackets.

[tex]( - 2^3x^{2\times 3} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 2^3x^{6} ) \times ( - 3^2x^2 )[/tex]

[tex]( - 8x^{6} ) \times ( 9x^2 )[/tex]

[tex]- 8 \times x^{6} \times 9 \times x^2[/tex]

[tex]- 8 \times 9 \times x^2 \times x^{6}[/tex]

Multiply like terms and add exponents with same bases.

[tex]- 72 \times x^{2+6}[/tex]

[tex]- 72 \times x^{8}[/tex]

Evaluate piecewise functions

Answers

Answer:

The answer is 150.

Step-by-step explanation:

Eliminate the second and third piece of the function, because they do not include t= -10 in their range. Now, input t= -10 in the first piece. That will give you f(-10)= (-10)^2 - 5(-10)= 150.

Maria measured a centipede that was 1 1/12inches long. Jerome measured a centipede that was 11/12 of an inch long. How much longer was Maria's centipede than Jerome?

Answers

Answer:

2/12

Step-by-step explanation:

The centipede that Maria measured was 1 1/12 inches long. If you convert this to an improper fraction it is equal to 13/12 inches. Now to find how much longer Maria's centipede was than Jeromes, you just take 11/12 and minus it from 13/12 which is equal to 2/12 of an inch.

What is the minimum number of triangles needed to construct a hexagon?

Answers

Answer:

Please the answer is option d.

Hope this helps.

Answer:

the minimum number of triangle needed to construct a hexagon is 6

find the surface area of a cuboid

Answers

Answer:

143.52 cm^2

Solution,

Length(l)=7.2 cm

Breadth(b)=3.1 cm

Height(h)=4.8 cm

Now,

[tex]surface \: area \: of \: cuboid \\ = 2(l \times b + b \times h + h \times l) \\ = 2(7.2 \times 3.1 + 3.1 \times 4.8 + 4.8 \times 7.2) \\ = 2(22.32 + 14.88 + 34.56) \\ = 2(71.76) \\ = 143.52 \: {cm}^{2} [/tex]

hope this helps...

Good luck on your assignment..

The surface area of cuboid is 143.52 square centimeters whose length is 7.2cm, width is 3.1 cm and height is 4.8 cm.

The formula for surface area of cuboid:

Surface area =  2(l×w + w×h + h×l).

Where l is length,

w is width,

h is height,

l=7.2 cm, w = 3.1cm and h=4.8 cm.

Plug in these values in above formula:

Surface area = 2(7.2×3.1 + 3.1×4.8 + 4.8×7.2)

=2(22.32 + 14.88 + 34.56)

=2(71.76)

=143.52

Hence, the surface area of cuboid is 143.52 square centimeters.

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which function is graphed below ​

Answers

Answer:

y = tan(x) - 2

Step-by-step explanation:

Answer:

y=tan(x)-2

Step-by-step explanation:

find the amount at compound interest that #600 would be at 3% the end of the first year, 2% at the end of the second year​

Answers

Step-by-step explanation:

First we find the interest at the end of the first year.

Principal = #600

Rate = 3%

Time = 1 year

Interest = [tex]\frac{600 * 3 * 1}{100}[/tex]

             = #18

Amount = #618 at the end of the first year

Now at the end of the second year.

Principal now = #618

Rate now = 2%

Time = 1 year

Interest = [tex]\frac{618 * 2 * 1}{100}[/tex]

             = #12.36

Amount = #630.36 at the end of the second year

f(x)=(3 x-1)(2 x + 1)

Answers

Answer:

[tex]f(x)=6x^2+x-1[/tex]

I hope this help you :)

Please help me b4 11:59 7-1-20

Answers

Answer : The length of QT is 19.

Step-by-step explanation :

As we are given:

Length of RT = 11

Length of RS = 8

As we are given that R is the mid-point of line QS. That means,

Length of RS = Length of QR = 8

Now we have to calculate the length of ST.

Length of ST = Length of RT - Length of RS

Length of ST = 11 - 8

Length of ST = 3

Now we have to calculate the length of QT.

Length of QT = Length of QR + Length of RS + Length of ST

Length of QT = 8 + 8 + 3

Length of QT = 19

Therefore, the length of QT is 19.

please help :( best explanation i give brainliest :)

Answers

Answer:

Chopped tomatoes

= 3/4 x 800 = 600g

Stock

= 3/4 x 600 = 450 ml

Red wine

= 3/4 x 300 = 225 ml

Answer: See below

Step-by-step explanation:

For this problem, you will need to use proportions to make sure that the ingredients are the correct amounts when the grams of minced beef is decreased.

Chopped tomatoes

[tex]\frac{400g beef}{800 g tomatoes} =\frac{300g beef}{x}[/tex]             [cross multiply]

[tex]400x=240000[/tex]                         [divide both sides by 400]

[tex]x=600g[/tex]

We will need 600 g chopped tomatoes.

------------------------------------------------------------------------------------------

Stock

[tex]\frac{400g beef}{600ml stock} =\frac{300gbeef}{x}[/tex]               [cross multiply]

[tex]400x=180000[/tex]                         [divide both sides by 400]

[tex]x=450[/tex]

We will need 450 ml of stock.

------------------------------------------------------------------------------------------

Red wine

[tex]\frac{400g}{300ml} =\frac{300g}{x}[/tex]                            [cross multiply]

[tex]400x=90000[/tex]                           [divide both sides by 400]

[tex]x=225[/tex]

We will need 225 ml of red wine.

A, B, C or D help please

Answers

Answer:

B

Step-by-step explanation:

If sin 25° =cos(y+50°),find y​

Answers

Answer:

15 deg

Step-by-step explanation:

Sine and cosine are co-functions, so

sin x = cos(90 - x)

sin 25 = cos(90 - 25)

sin 25 = cos 65

y + 50 = 65

y = 15

square root of 0.925 by long division method

Answers

0.96176920308

Hope it Helps you :)
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