I need help
solve for x
log16x=1/4

First find the areas of the two separate rectangles where:

Area of rectangle = length x width

Area of the small rectangle = x(x–4)

Area of small rectangle = [tex]x^{2} -4x[/tex]

Area of big rectangle = (x–2)(2x+x)

Area of big rectangle = (x–2)(3x)

Area of big rectangle = [tex]3x^{2} -6x[/tex]

The total area of the compound shape is 36, therefore:

[tex]3x^{2} -6x +x^{2} -4x=36[/tex]

[tex]4x^{2} -10x-36=0[/tex] (collecting like-terms and by bringing the +36 to the other side)

By dividing this by 2, you get:

[tex]2(2x^{2} -5x-18)=0[/tex]

[tex]2x^{2} -5x-18=0[/tex]

To find the length of AB (x), solve the quadratic by either factorising, completing the square or by using the quadratic formula, etc to solve for x.

[tex]2x^{2} -5x-18=0[/tex]

[tex](2x-9)(x+2)=0[/tex]

[tex]x=\frac{9}{2}[/tex]

[tex]x=-2[/tex]

However, a length cannot be negative, so x must be [tex]\frac{9}{2}[/tex] or 4.5cm, so length AB = 4.5cm.

Hope this helps :)

Answer:

none. they have already sold exactly $400,000 worth of computers and accessories

Answer:

The amount is $8358.7 and the interest is $3858.7.

Explanation:

STEP 1: To find amount we use formula:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

Step-by-step explanation:

answer:

8 pennies,16 dimes,13 nickels,13 quarters

Step-by-step explanation:

total number of coins = 50

16% are pennies

16% of 50

16/100 x 50=(16x50)/100=800/100=8

Pennies = 8

32% are dimes

32% of 50

32/100 x 50=(32x50)/100=1600/100=16

Dimes = 16

5 more nickels than pennies

Pennies = 8

nickels = 8 + 5 = 13

nickels = 13

8+16+13=37

50 - 37 = 13

13 quarters

pennies = 8, dimes = 16, nickels = 13, quarters = 13

Answer:

50 dollars.

Step-by-step explanation:

19 x 25= 475

1,425 - 475= 950

950 divided by 19 is 50.

Step-by-step explanation:

hope this help you::::::::::)

The search problems to consider with mobile devices, but not with laptop and desktop computers is

Your website must provide directions to your store's brick and mortar location

In the growing trend in technology, people prefer to have access to everything in mobile devices as they come handy. The chances of users visiting a website via mobile devices is more compared to that of a laptop.

Users also prefer to visit a store in person to get a clearer view of the items to be bought. Therefore, it is necessary to provide all that's required for the user, so that the chances of visiting the store is more, which is why it is good to provide directions to the store for a better user experience - to direct the users to the store on the go.

For more information on computers, laptops and mobile devices visit

https://brainly.com/question/4487618?referrer=searchResults

Answer:

3.75$

Step-by-step explanation:

The part is the unknown.

Set up a proportion with the known values and solve for the part.

Using whole = $25, percent = 15%, part = ? dollars

part whole=percent 100→?25=15100

Multiply the numerator and denominator of a fraction by the

same number to determine an equivalent fraction.

StartFraction question mark Over 25 EndFraction = StartFraction 15 Over 100 EndFraction. Arrows going from question mark to 15 and from 25 to 100 are labeled times 4. ?×425×4==15100

Solve for the part.

?=15÷4=334=3.75

Answer:

14x^4sqrt10

Step-by-step explanation:

Out of the two possible answers showing in the picture it seemed as is it was the only valid answer

Answer: Third multiple choice

Step-by-step explanation:

First answer:

Since the fraction is increased by 7, we need to check if the increasing factor is the same for the bottom part of the fraction:

[tex]2.54*7=17.78\neq 17.68[/tex]

The first answer doesn't match, we do the same for all three remaining answer.

2)[tex]12*7=84\neq 74[/tex]

3)[tex]36*7=252[/tex]

4)[tex]3.28*7=22.96\neq22.86[/tex]

In this case, the answer is the third multiple choice.

Applying derivative concepts, the y-intercept of the line tangent to the curve at (2√3, √3) is: [tex]y = \sqrt{3}[/tex]

The equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

In which:

In this problem, point [tex](2\sqrt{3}, \sqrt{3})[/tex], hence [tex]x_1 = 2\sqrt{3}, y_1 = \sqrt{3}[/tex]

To find the value of [tex]\theta[/tex], we have that:

[tex]3\tan{\theta} = \sqrt{3}[/tex]

[tex]\tan{\theta} = \frac{\sqrt{3}}{3}[/tex]

[tex]\theta = \frac{\pi}{6}[/tex]

Then, for the slope:

[tex]\frac{dy}{d\theta} = 3\sec^{2}{\theta}[/tex]

[tex]\frac{dx}{d\theta} = 3\sec{\theta}\tan{\theta}[/tex]

Considering [tex]\theta = \frac{\pi}{6}[/tex]:

[tex]\frac{dy}{d\theta} = 3\left(\frac{2}{\sqrt{3}}\right)^2 = 2[/tex]

[tex]\frac{dx}{d\theta} = 3\left(\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{3}\right) = 2[/tex]

[tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}} = 1[/tex]

Then, the equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - \sqrt{3} = x - 2\sqrt{3}[/tex]

[tex]y = x - \sqrt{3}[/tex]

The y-intercept is the value of y when x = 0, hence:

[tex]y = \sqrt{3}[/tex]

A similar problem is given at https://brainly.com/question/22426360

Answer:

30x-10

Step by Step Work:

5x(6)-10

Because 5 x 6= 30, it becomes

30x-10

Since 30x and 10 have different terms, you can not simplify any further.

So you get your answer, which is 30x-10.

Answer

30x-10

Step by Step Work:

5x(6)-10

Because 5 x 6= 30, it becomes

30x-10

Since 30x and 10 have different terms, you can not simplify any further.

So you get your answer, which is 30x-10.

Answer:

-6

Step-by-step explanation:

10x1 + 4y = -14

10+4y=-14

4y=-14-10

4y = -24

y = -24/4

y = -6

Answer:

E ( 1 , -1 ) is in quadrant IV

Answer:

Use the slope formula (y2-y1 over x2-x1) also attached as an image file to my answer for each question. After you solve each number for their slope, input the problem number into the table that corresponds with the slope.

For your information, in the attached image file with the formula, "m" represents the slope in the formula.

The values for [tex]x[/tex] are -5 and 20

Given to us:

[tex]x^2-15x-100=0[/tex]

In order to use the zero product property, we need to find out a 2 numbers whose product is -100 and sum is -15.

for that you can take the LCM of 100 and check all factors of 100.

for example,

factors of 100 are 100, 50, 25, 20, 10, 5, 4, 2, 1.

from this -20 and +5 are the numbers whose sum will give -15 and product will be -100. therefore,

[tex]x^2-15x-100=0\\x^2-20x+5x-100=0[/tex]

taking out common terms, we get

[tex](x^2-20x)+(5x-100)=0\\x(x-20)+5(x-20)=0\\(x+5)(x-20)=0\\[/tex]

to find out the value of [tex]x[/tex] equating both the factors with 0, we get

[tex](x+5)=0\\x=-5\\(x-20)=0\\x=20[/tex]

Hence, the values for [tex]x[/tex] are -5 and 20

To know more visit:

https://brainly.com/question/98541

Answer:

C or x=-5 or x=20

Step-by-step explanation:

Step-by-step explanation:

do you mean

7×10⁵ × 3×10²

as you can see, these are all multiplications. and we can do in a first step the multiplications that combine the factors with the same exponent base or simple constants :

7×3 × 10⁵×10² = 21 × 10⁷

in what format do you need the result ?

21 × 10⁷

2.1 × 10⁸ (standard format)

210,000,000

Answer:

1x14 1x30 1x40

Step-by-step explanation:

Your Question is incomplete..

Diana is baking bread, and the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will Diana use?

Answer:

3 3/4

Step-by-step explanation:

To figure out how many cups of flour Diana will use, you can set up a proportion.

1 1/2 = 3/2

2 1/2 = 5/2

2 1/4 = 9/4

Floor required for 3/2 teaspoons of yeast = 5/2

Floor required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4

= 5/2 * 2/3 * 9/4

= 15/4 = 3 3/4

Answer:

(The question is not complete so I will complete it)

Diana is baking bread, the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will diana use ?

A) 1 7/8

B) 3 1/2

C) 3 1/2

D) 3 3/4

E) 4

Step-by-step explanation:

The correct answer is D

To figure out how many cups of pour diana will use, you can set up a proportion

1 1/2 = 3/2

2 1/2 = 5/2

2 1/4 = 9/4

Flour required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4

= 5/2 * 2/3 * 9/4

= 15/4 = 3 3/4

Answer: D) 3 3/4

Answer:

see explanation

Step-by-step explanation:

On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, or

the distance from the centroid to the midpoint is one third of the median

23

LF = 2 × HL = 2 × 30 = 60

HF = HL + LF = 30 + 60 = 90

24

KL = [tex]\frac{1}{3}[/tex] KE = [tex]\frac{1}{3}[/tex] × 15 = 5

LE = 2 × KL = 2 × 5 = 10

25

LJ = [tex]\frac{1}{2}[/tex] DL = [tex]\frac{1}{2}[/tex] × 24 = 12

DJ = DL + LJ = 24 + 12 = 36

Answer: 35 dots

Step-by-step explanation:

Answer:

[tex]y = -2\, x[/tex].

Step-by-step explanation:

Find two points on the original line, [tex]y = 2\, x[/tex]:

Setting [tex]x = 0[/tex] gives [tex]y = 0[/tex], which corresponds to the point [tex](0,\, 0)[/tex].

Setting [tex]x = 1[/tex] gives [tex]y = 2[/tex], which corresponds to the point [tex](1,\, 2)[/tex].

Reflect the two points with respect to the [tex]y[/tex]-axis by inverting the [tex]x[/tex]-coordinate of each point. The point [tex](0,\, 0)[/tex] stays the same, whereas the point [tex](1,\, 2)[/tex] would be mapped to [tex](-1,\, 2)[/tex].

Find the equation of the new line. The slope of the new line would be:

[tex]\begin{aligned}\frac{2 - 0}{(-1) - 0} = \frac{2}{(-1)} = -2\end{aligned}[/tex].

Equation of the new line in point-slope form:

[tex]y - 0 = (-2)\, (x - 0)[/tex].

[tex]y = -2\, x[/tex].

Answer:

y=-1/2x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/2(x-(-2))

y-3=-1/2(x+2)

y=-1/2x-2/2+3

y=-1/2x-1+3

y=-1/2x+2

Candi would be taken medicine A for 11 days for her to complete the medication.

1 L = 1000 ml

Candi needs to take 15 ml of Medicine A three times daily. Therefore:

Amount of drug taken by Candi daily = 15 ml * 3 times = 45 ml = 0.045 L

Since the bottle contains 5 L, The number of days she needs to take the madication is:

Number of days = 5 L / 0.045 L = 11 days

Candi would be taken medicine A for 11 days for her to complete the medication.

Find out more at: https://brainly.com/question/2077866