What is the solution to the
equation log, (2x - 3) = -1?
Round to the nearest thousandth.

Answer: $ 27.27

Step-by-step explanation:

Answer:

62.59

Step-by-step explanation:

Answer:

Point form=(-6,-2)

Equation Form= x=-6, y=-2

Step-by-step explanation:

Answer: -27/8

Step-by-step explanation:

[tex]\left(-\frac{1}{2}\cdot \:3\right)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]

[tex]\left(-\frac{1}{2}\cdot \:3\right)^3=-\left(\frac{1}{2}\cdot \:3\right)^3[/tex]

[tex]=-\left(\frac{1}{2}\cdot \:3\right)^3[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n[/tex]

[tex]\left(\frac{1}{2}\cdot \:3\right)^3=\left(\frac{1}{2}\right)^3\cdot \:3^3[/tex]

[tex]=-\left(\frac{1}{2}\right)^3\cdot \:3^3[/tex]

[tex]=-\frac{1}{8}\cdot \:3^3[/tex]

[tex]=-\frac{1}{8}\cdot \:27[/tex]

[tex]=-\frac{27}{8}[/tex]

Check the picture below.

well, is an isosceles trapezoid, namely the slanted sides are equal, so the diagonals, in red, are also equal, so let's just find the length of the solid line diagona, since the dashed one will be the same length anyway.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[2 - (-5)]^2 + [1 - (-1)]^2}\implies d=\sqrt{(2+5)^2+(1+1)^2} \\\\\\ d=\sqrt{7^2+2^2}\implies d=\sqrt{53}\implies d\approx 7.28[/tex]

Answer: A)72.8067226km/hr (final asnwer)
b) volume of a cube= a^3 (sides^3) =4.5^3= 91.125 cm^3 (final asnwer)

c) 1 day cost= $(35.9 +11.55 + 35) =$82.45
therefore for 5 days= $82.45 * (multiplied) by 5 = $412.25 (final asnwer)

Step-by-step explanation:

Answer:

(a)≈72.8 kilometer per hour

(b)91.125 cm^3

(c)272.25$

Step-by-step explanation:

(a)speed=mile/hour

=371mile/8.2hours

=371×1.609kilometers/8.2hours

≈72.8 kilometer per hour

(b)the vol: of cube= a^3 (a=side)

=(4.5)^3

=91.125cm^3

(c) for 5 days, (35.9×5)+(11.55×5)+35 ($35 is ofor one-off charge so there is no need to multiply with 5)

=272.25$

Answer:

Deductible

Step-by-step explanation:

you pay the first $1,000 of covered services yourself

$1000 represents the deductible amount.

In the case of an accident, the policyholder must pay a deductible as the first amount; the insurance company will only cover any expenses (losses) incurred after the deductible has been paid by the policyholder.

The consumer can first set his deductible while purchasing insurance.

Smaller deductibles often result in higher rates, and larger deductibles frequently result in lower premium payments.

The insurance company has asked Manny to pay the first $1000 in an instance when he was involved in an accident and incurred charges totaling $11,500. The $1,000 deductible amount.

Hence, the answer is deductible amount.

Learn more about deductible amount here:

https://brainly.com/question/30098276

#SPJ6

Step-by-step explanation:

the original side length is x.

the volume of a block is length × width × height.

so, for a cube with all sides being equal, the volume in our case is x³ (x × x × x).

now, with the same formula but with every side shortened by 1 cm we get

(x-1)(x-1)(x-1) = x³ - 91 (the original volume minus 91)

now, we have to do the multiplications.

(x-1)(x-1) = x² - 2x + 1

(x²-2x+1)(x-1) = x³ - x² - 2x² + 2x + x - 1 = x³ -3x² + 3x -1

x³ - 3x² + 3x - 1 = x³ - 91

-3x² + 3x = -90

-x² + x = -30

x² - x = 30

x² - x - 30 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -1

c = -30

x = (1 ± sqrt((-1)² - 4×1×-30))/(2×1) =

= (1 ± sqrt(1 + 120))/2 = (1 ± sqrt(121))/2 =

= (1 ± 11)/2

x1 = (1 + 11)/2 = 12/2 = 6

x2 = (1 - 11)/2 = -10/2 = -5

a negative number does not make any sense for a side length, so our solution is x = 6 cm.

the original side length of the cube is 6 cm.

to check :

6³ = 216

(6-1)³ = 5³ = 125

216 - 125 = 91

perfect.

Answer:

[tex]\huge\boxed{\sf x = 10}[/tex]

Step-by-step explanation:

Since the two angles are complementary angles, the measures of these angles add up to 90 degrees.

5x + 25 + x + 5 = 90

5x + x + 25 + 5 = 90

6x + 30 = 90

Subtract 30 to both sides

6x = 90 - 30

6x = 60

Divide 6 to both sides

x = 60 / 6

x = 10

[tex]\rule[225]{225}{2}[/tex]

Answer:

x ≈ 5.8 degrees

Step-by-step explanation:

the sum of all exterior of any polygon is 180 degrees

so:  7x+4 + 5x+4 + 4x+9 + 9x-6 + 4x+1 =  180

combine 'like terms':

29x + 12 = 180

29x = 168

x ≈ 5.8

Answer:

18

Step-by-step explanation:

a^2 + b^2 = c^2

in this case 24 is a and 30 is c

24^2 = 576

30^2 = 900

900 - 576 = 324

the square root of 324 is 18

Answer:

x = -7

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (&Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 6 to both sides of the equation:

-5x - 6 = 29

-5x - 6  (+6) = 29 (+6)

-5x = 29 + 6

-5x = 35

Next, divide -5 from both sides of the equation:
(-5x)/-5 = (35)/-5

x = 35/-5

x = -7

-7 is your answer for x.

~

Answer:

Matt used diameter of the ball instead of Radius

Step-by-step explanation:

The volume of a sphere is given as:

⇒ Matt made an error in his calculation by failing to covert the value of the diameter given to Radius.

⇒ By dividing the diameter by 2 = 15 / 2 = 7.5, we obtain the Radius, which is what Billy did in her own calculation.

Answer:

3.0625[tex]\pi[/tex] ft^2

Step-by-step explanation:

A=[tex]\pi[/tex]r^2

A=[tex]\pi[/tex]1.75^2

A=3.0625[tex]\pi[/tex]

3.0625[tex]\pi[/tex] ft^2

Answer:

No its short 207

Step-by-step explanation:

Took the test on UsaTestPrep got it right :)

Bye loves <3

Answer:

the one b4 is wrong its a surplus of 207 .-.

Step-by-step explanation:

this is correct usatestprep also lol

Answer:

8.7kilos

Step-by-step explanation:

70.22 divided by 8

hope this helps!

Answer:
Hope this helps <3

Step-by-step explanation:

(I color coded them and named them for you so that you wouldn’t have trouble with finding the points <3)

Answer:

6x3=18 pieces

6/18 = 1/3

=

18 pieces

72 inches

Answer:

25

if j 25 L is going to be 25

Answer: 1/3

Step-by-step explanation: 50, and 90, 2/6 reduces to 1/3.................2 pp ignore the 2 and p I'm in mobile

Answer:

The answer would be B. c ÷ 158.14

Step-by-step explanation:

i just took this test :) the question was:

The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds. Which of the following expressions represents the number of pieces of cargo The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds? Which of the following expressions represents the number of pieces of cargo?

A. c × 158.14

B. c ÷ 158.14

C. c - 158.14

D. c + 158.14

Answer:

nothing

Step-by-step explanation:

2cups= orange juice

1 cup= cranberry juice

nothing the orange and juice was used to make the mixture of juice

Answer:

its nothing??

Step-by-step explanation:

you gave it to mags so its nothing

Answer: 6. this is like 3rd grade math just multiply 1/3 and 1/6 to see

Answer:

1/2

Step-by-step explanation:

1/6/1/3=1/2or2

I the not understand the question properly

Answer:

y- intercept = 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{3}{4}[/tex] x + 5 ← is in slope- intercept form

with slope m = - [tex]\frac{3}{4}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , then equation of perpendicular line is

y = [tex]\frac{4}{3}[/tex] x + c

to find c substitute (- 3, - 3 ) into the equation

- 3 = - 4 + c ⇒ c = - 3 + 4 = 1

that is the y- intercept of the perpendicular line is c = 1

Answer:66 meters

Step-by-step explanation:

just change the negative to a positive and add them together. It would be 66.

Answer:

there are 52 cards in each pack

Answer:

52.

Step-by-step explanation:

A deck of cards have 52 cards.

I know you're looking for an answer but i'm doing a challenge where i have to answer 10 questions by the end of today, I'm sorry! :(

The general form of the exponential regression equation that models the number of bacteria  is y = ab^x

The exponential regression equation is y = 1910.38 * 1.1^x

The dataset is given as:

x     y

0    1892

1     2106

2    2342

3    2525

4    2819

5    3042

To determine the exponential regression equation, we make use of a graphing calculator.

From the graphing calculator, we have the following calculation summary

a = 1910.38

b = 1.10

An exponential regression equation is represented as:

y = ab^x

So, we have:

y = 1910.38 * 1.1^x

Hence, the exponential regression equation is y = 1910.38 * 1.1^x

Read more about regression equations at:

https://brainly.com/question/732489

Answer:

the next three numbers should be 8, 4, 0

Step-by-step explanation:

it reduces by 4 each time

24 - 4 = 20

20 - 4 = 16

16 - 4 = 12

12 - 4 = 8

8 - 4 = 4

4 - 4 = 0

First term =a=24

common difference=d=20-24=-4

Formula

a_5

a_6

a_7