1. |x - 7] + 8 < 11


How do u solve

Answer:

It would hold .5 liters because 1000ml is equal to 1 liter

Step-by-step explanation:

9514 1404 393

Answer:

  $321.99

Step-by-step explanation:

Use the annuity formula and solve for P.

  A = P(12/r)((1 +r/12)^(12t) -1) . . . . value of a series of deposits P earning rate r compounded monthly for t years.

  50,000 = P(12/0.05)((1 +0.05/12)^(12·10) -1) = P(240)(0.64700950)

  P = 50,000/155.282279 = 321.99

You would need to deposit $321.99 in the account each month to have $50,000 in 10 years.

Answer:

si a forse that can t negativo AND f so ITS 0;3

The dog moves quickly through 250-meter passes

This technique allows us to calculate both the value of multiple units from the value of a single unit and the value of single unit from the value of multiple units.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique.

We typically utilize this technique for math calculations.

This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc.

According to our question-

dog run =11 metres per second

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Answer:

7.011%

Step-by-step explanation:

61/(300+100+7+61+402) = 0.07011

Multiply the result of that by 100 to get 7.011%.

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ G(\stackrel{x_1}{5}~,~\stackrel{y_1}{-4})\qquad H(\stackrel{x_2}{11}~,~\stackrel{y_2}{0}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 11 +5}{2}~~~ ,~~~ \cfrac{ 0 -4}{2} \right) \implies \left(\cfrac{ 16 }{2}~~~ ,~~~ \cfrac{ -4 }{2} \right)\implies (8~~,~~-2)\)

a) The complex number 7 / (2 - i 2) is equivalent to the complex number (7 / 4) + i (7 / 4).

b) The roots of the quadratic equation 2 · x² + 32 = 0 are x = ± i 4. (Correct choice: A)

In the first part we must determine the result of the division of two complex numbers, where 7 + i 0 is the numerator and 2 - i 2 is the denominator. Please notice that the standard form of a complex number is a + i b, where a, b are real coefficients.

This can be done by rationalizing the denominator of the irrational number:

7 / (2 - i 2)

[7 · (2 + i 2)] / [(2 - i 2) · (2 + i 2)]

(14 + i 14) / (4 + 4)

(14 + i 14) / 8

(7 + i 7) / 4

(7 / 4) + i (7 / 4)

In the second part, we need to determine the roots of a quadratic equation of the form a · x² + b = 0, whose roots are complex numbers. This can be done by means of algebra properties:

2 · x² + 32 = 0

2 · x² = - 32

x² = - 16

x = ±√(- 16)

x = ± √(- 1) ·√16

x = ± i 4

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Answer:

\(\text{D. }f(x)=(x-3)^2(x-2)(x-1)\)

Step-by-step explanation:

The equation below shows three zeroes at \(x=1\), \(x=2\), \(x=3\). By definition, these values of \(x\) must yield a y-value of zero. Since the function bounces off of \(x=3\), there must be two occurrences of it.

Thus, the equation of this line, in factored form, is \(\boxed{f(x)=(x-3)^2(x-2)(x-1)}\)

Answer:

-2

Step-by-step explanation:

took the test

Using properties of square,

a. Equation for total area = 2x² - 16x + 64

b. Area will be minimum for the value of x = 0

c. Minimum area will be 64cm².

With four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. The equal sides and 90° internal angles of each square form serve as indicators of its identity.

Total length of wire = 32cm.

Now side of one square is given as x.

Perimeter of big square will be = 4x.

Now perimeter of small square = 32- 4x.

Side of small square = (32-4x)/4

= 4(8-x)/4

= 8-x

Area of big square = x × x

= x².

Area of small square = (8-x) ².

Now Total area, A(x) = x² + (8-x) ²

= x² + 64 + x² - 16x

= 2x² - 16x + 64

The side length that will minimize the area will be, x = 0.

Minimum area of the total figure will be = 64cm²

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Anna's total profit was $6000 + $16000 - $4000 = $14000.

How did Anna earn profit

Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.

Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.

Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.

Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.

Answer:

Step-by-step explanation:

\( step - 1 : define\\ 3(1 - 2x) > 3 - 6x\)

\( step - 2: distribute\\ 3 - 6x > 3 - 6x\)

\(step - 3 : \\ add \: 6x \: to \: both \: sides\)

\( 3 - 6x + 6x> 3 - 6x + 6x\)

\(3 > 3\)

\( \therefore \: the \: statement \: is \: false \: for \: any \: value \: of \: x \: because \: both \: sides \: are \: identical\)

therefore,

\(x \in ∅\)

Answer:

2 2/5 miles

Step-by-step explanation:

Answer:

85 + 42x = 337

x = 6

Step-by-step explanation:

For the equation:

We know there is a one-time fee plus 42 times the number of days you rent the booth for and that the total of the equation should be 337 as that is the total she paid for. We start with the one-time fee (85) and add the county fair-grounds cost (42) multiplied by the number of days you rent the booth for. Since we don't know how many days that is, we will make that our variable which we will call x.

So far we have: 85 + 42x

Now we should set the equation equal to the total amount of money Ms. Williams paid.

This will give us: 85 + 42x = 337

To solve the equation:

Our goal is to find x since that is the number of days Ms. Williams rented the booth for.

First, we subtract 85 from both sides of the equation.

42x = 252

Then, we divide both sides by 42 to isolate our variable, x.

x = 6

X is the number of days Ms. Williams rented the booth for. Therefore, Ms. Williams rented a booth at the county fair for 6 days.

Answer:

ABE is 115.5 and DBE is 25.5

Step-by-step explanation:

90 is right angle

90 - 64.5 = 25.5 <----- its DBE

90 + 25.5 = 115.5 <----- its ABE

hope i helped

Answer:

8m

Step-by-step explanation:

Answer:

$211.9

Step-by-step explanation:

77 MARKERS x 0.70 EACH = 53.9

30 RULERS x 1.95 EACH = 58.5

1 projector x 99.95 = 99.95

53.9 + 58.5 + 99.95 = $211.9

Answer: She spent $212.35

Step-by-step explanation:

77 markers for $0.70 each. 30 rulers for $1.95 each, and a projector for 99.95.

Multiply 77 by 0.70 giving you $53.90 spent on markers.

Then multiply 30 by 1.95 giving you $58.50 spent on rulers.

Add these totals to the cost of the projector and get a grand total of 212.35.

Answer:

To find the answer, we can use the formula:

number of won games / total number of games played = percentage won

Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:

number of won games / x = 0.65

To solve for x, we can cross-multiply:

number of won games = 0.65x

We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:

If the team played 22 games, then the number of won games is:

number of won games = 0.65 * 22 = 14.3

This is not a whole number value, so we can rule out choice A.

We can repeat this process for each answer choice. When we try choice C, we get:

number of won games = 0.65 * 18 = 11.7

This is also not a whole number value, so we can rule out choice C.

When we try choice D, we get:

number of won games = 0.65 * 14 = 9.1

This is also not a whole number value, so we can rule out choice D.

Therefore, the only remaining answer choice is B, which gives us:

number of won games = 0.65 * 20 = 13

This is a whole number value, so the team could have played 20 games in total last season.

The equatiοn οf the vertical asymptοte fοr f(x) is x = -3.

The end behaviοr οf f(x) is pοsitive οr negative infinity.

The x-intercept fοr f(x) is  (5,0).

A vertical asymptοte is a line that a curve apprοaches but never tοuches οr crοsses as the input variable apprοaches a certain value. In οther wοrds, a vertical asymptοte is a vertical line οn a graph that the functiοn apprοaches as the input variable apprοaches a specific value οr set οf values.

Tο find the equatiοn οf the vertical asymptοte fοr f(x) = (4x-20)/(x+3), we need tο identify the values οf x that make the denοminatοr οf the functiοn equal tο zerο.

Setting the denοminatοr equal tο zerο, we get:

x + 3 = 0

Sοlving fοr x, we get:

x = -3

Therefοre, the equatiοn οf the vertical asymptοte fοr f(x) is x = -3.

Tο determine the end behaviοr οf f(x) as x apprοaches infinity, we can use the fact that the degree οf the numeratοr is greater than the degree οf the denοminatοr. This means that the functiοn will apprοach infinity as x apprοaches pοsitive οr negative infinity.

Tο find the x-intercept fοr f(x), we need tο set the numeratοr οf the functiοn equal tο zerο and sοlve fοr x.

Setting the numeratοr equal tο zerο, we get:

4x - 20 = 0

Sοlving fοr x, we get:

x = 5

Therefοre, the x-intercept fοr f(x) is (5,0).

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Answer:

y-4=-7/4(x+4)

Step-by-step explanation:

Point Slope Form: y-y*sub*1=m(x-x*sub*1)

Parallel lines have the same slope as the line to which they are parallel.

y-4=-7/4(x+4)

Hope this helps :)

The first blank is BAL and FGH

The second blank is AL

The third blank is CE and KI

The fourth and final blank is GH

According to the statement

we have given a diagram in which there are some angles and from these angles we have to find that the

Which opposite angles are congruent

The opposite side of AB

With GF angle which angle are congruent

Two angles are which are opposite to each other.

So, from a diagram it is clear that The angles which are congruent with each other is BAL and FGH. Because there positions are perfectly opposite and same  to each other.

And The opposite side of AB is AL because it is present at opposite position to each other.

And with GF angle GH are congruent angles.

So, The first blank is BAL and FGH

The second blank is AL

The third blank is CE and KI

The fourth and final blank is GH

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DISCLAIMER: This question is incomplete.Please see the complete question below.
QUESTION:
Select the correct answer from each drop-down menu.

For the figure shown, point D is a midpoint of , and point J is a midpoint in figure.

Since reflecting the points C, B, A, L, and K across line maps these points onto E, F, G, H, and I, respectively, the opposite angles

are congruent. Since reflecting the points L, K, J, I, and H across line maps these points onto B, C, D, E, and F, respectively, the opposite sides are congruent.

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Answer:

$32.10  

Step-by-step explanation:

The amount to be accumulated in 15 years is the future value of the sinking fund, hence, using the future value formula below, we can determine the required weekly payment as appropriate:

Future value=weekly payment*(1+r)^n-1/r

Future value=$35,000

weekly payment is the unknown

r=weekly interest rate=4.25%/52=0.08173077% ( I use 8 decimal places in order to achieve accuracy)

n=number of weekly payments in 15 years=15*52=780

35000=weekly payment*(1+0.08173077% )^780-1/0.08173077%

35000=weekly payment*(1.89125311 -1)/0.000817308

35000=weekly payment*0.89125311 /0.000817308

weekly payment=35,000*0.000817308 /0.89125311

weekly payment=$32.10

Answer:

$61.29 per day.

Step-by-step explanation:

Checking account balance on February 1st: $443

Checking account balance on February 7th: $872

Difference in balances: $872 - $443 = $429

Number of days between February 1st and February 7th: 7 days

Rate of change = Difference in balances / Number of days

Rate of change = $429 / 7 days

To find the rate of change per day, divide the difference in balances by the number of days:

Rate of change = $429 / 7 days ≈ $61.29 per day

Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.

The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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Answer:

C

Step-by-step explanation:

total number of wheels=4*21=84

Answer:

22.5 in U.S dollars bills

Answer:

8 people are going with you too the movies and the total cost is 56 dollars how much did each ticket cost

Step-by-step explanation: i hope this what you meant

Answer: M = -11/3

Step-by-step explanation: