which is the next step in the following construction of an equilateral triangle?

Answer: $21.99

Step-by-step explanation:

First, we need to solve for the total cost of 4 packs of football cards

We can either do: $3.97+$3.97+$3.97+$3.97

or

$3.97 x 4

This will equal: $15.88

Now we need to add $6.11 to $15.88

$6.11+$15.88

$21.99

Answer:

1/6

Step-by-step explanation:

6 sides. 1 face with number 1. 1/6

Answer:

3180

Step-by-step explanation:

265 (Jewelry boxes per day) x 12 (Working Days) = 3180

∠X = 89°, ∠Y = 90°, ∠Z = 40° ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°

→ (2b+6)+(3b-1)=90----> 5b+5=90----> 5b=85----> b=17°

→ ∠Z=2b+6---- 2*17+6-----> ∠Z=40°

→ ∠Y=3b-1---> ∠Y=3*17-1---> ∠Y=50°

angle Y and W are supplementary angles

so

→ ∠Y+∠W=180---------> ∠W=180-∠Y------> ∠W=180-50----> ∠W=130°

angle X and Z are supplementary angles

so

→ ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°

Therefore, the answer is

Step-by-step explanation:

1) zeros of the given function:

6x²-3=0; ⇔ 6(x²-0.5)=0; ⇔ x²=0.5; ⇔

\(\left[\begin{array}{ccc}x=-\sqrt{0.5} \\x=\sqrt{0.5} \end{array}\)

2) relationship:

if to see the equation x²-0.5=0 (ax²+bx+c=0 is standart form!), then the sum of the zeros is '0' (it is 'b' of the standart form), the product of equation roots is '-0.5' (it is 'c' of the standart form).

\({\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}\)

★ The polynomial

f(x) = 6x² - 3

\({\large{\textsf{\textbf{\underline{\underline{To \: find :}}}}}}\)

★ Zeroes of the polynomial f(x) = 6x² - 3

\({\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}\)

We have,

\(f(x) = \tt 6 {x}^{2} - 3\)

Which can also be written as

\( \implies f(x) = \tt {(\sqrt{6} x)}^{2} - { (\sqrt{3}) }^{2} \)

Using a² - b² = (a - b) (a + b)

\( \implies f(x) = \tt ( \sqrt{6} x - \sqrt{3} )( \sqrt{6} x + \sqrt{3} )\)

To find the zeroes, solve f(x) = 0

\( \longrightarrow \tt ( \sqrt{6} x - \sqrt{3} )( \sqrt{6} x + \sqrt{3} ) = 0\)

either \( \tt \sqrt{6} x - \sqrt{3} = 0 \: or \: \sqrt{6} x + \sqrt{3} = 0\)

\( \implies \tt \sqrt{6} x = \sqrt{3 \: } \: or \: \: \sqrt{6} x = - \sqrt{3}\)

\( \implies \tt x = \dfrac{ \sqrt{3} }{ \sqrt{6} } \: or \: x = - \dfrac{ \sqrt{3} }{ \sqrt{6} }\)

\( \implies \tt x = \dfrac{ \sqrt{3} }{ \sqrt{2 \times 3} } \: or \: x = - \dfrac{ \sqrt{3} }{ \sqrt{2 \times 3} }\)

\(\implies \tt x = \dfrac{ \cancel{ \sqrt{3} }}{ \sqrt{2} \: \cancel{\sqrt{3}} } \: or \: x = - \dfrac{ \cancel{ \sqrt{3} }}{ \sqrt{2} \: \cancel{\sqrt{3}} }\)

\(\implies \tt x = \dfrac{1}{ \sqrt{2} } \: \: or \: \: - \dfrac{1}{ \sqrt{2} }\)

Hence, the zeroes of f(x) = 6x² - 3 are:

\( \tt \alpha =\sf \boxed {{ \red{ \dfrac{1}{ \sqrt{2} } } }}\: \: and \: \: \beta =\sf \boxed {{ \red{ - \dfrac{1}{ \sqrt{2} } } }}\)

• Verification

Sum of zeroes = \( ( \alpha + \beta )\)

\( = \tt \dfrac{1}{ \sqrt{2} } + \bigg(- \dfrac{1}{ \sqrt{2} } \bigg)\)

\( = \tt \dfrac{1}{ \sqrt{2} } + - \dfrac{1}{ \sqrt{2} } \)

\(= \tt 0\)

and, \(\tt - \dfrac{Coefficient \: of \: x}{Coefficient \: of \: {x}^{2} }\)

\( \tt = - \dfrac{0}{6} \)

\( \tt = 0\)

\( \therefore \tt \: Sum \: of \: zeroes = {\boxed{ \red{\dfrac{ \tt Coefficient \: of \: x}{ \tt Coefficient \: of \: {x}^{2}}}}}\)

Also,

Product of zeroes = \( \alpha \beta \)

\( = \dfrac{1}{ \sqrt{2} } \times - \dfrac{1}{ \sqrt{2} } \)

\( = - \dfrac{1}{ 2 } \)

and, \(\tt - \dfrac{Constant \: term}{Coefficient \: of \: {x}^{2} }\)

\( \tt = \dfrac{ - 3}{6} \)

\( \tt = \dfrac{ - 1}{2} \)

\( \therefore \tt \: Product \: of \: zeroes = {\boxed{ \red{\dfrac{ \tt Constant \: term}{ \tt Coefficient \: of \: {x}^{2}}}}}\)

\(\rule{280pt}{2pt}\)

Answer:

19/100 is in the wrong place. The correct order is

19/100, 0.27, 0.29

Step-by-step explanation:

19/100 = 0.19

0.19 < 0.27 and 0.19 < 0.29

Answer:

Since f(-1) = 0 and f(-2) = 0, we can set up two equations:

(-1)³ + p(-1)² - q(-1) - 4 = 0

(-2)³ + p(-2)² - q(-2) - 4 = 0

Simplifying each equation, we get:

-1 + p - q - 4 = 0

-8 + 4p - 2q - 4 = 0

Simplifying further, we get:

p - q = 5

2p - q = 6

Solving for p and q, we can add the two equations together to eliminate q:

p - q + 2p - q = 5 + 6

3p - 2q = 11

Then, we can substitute the value of q from the first equation into this equation to solve for p:

3p - 2(q + 5) = 11

3p - 2q - 10 = 11

3p - 2q = 21

3p - 2(5 + p) = 21

p - 10 = 7

p = 17

Substituting this value of p into either equation for q, we get:

q = p - 5 = 12

Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:

-1 | 1 17 -12 -4

|__ -1 -16 28

1 1 12

This gives us the factorization:

f(x) = (x + 1)(x² + x + 12)

To find the solutions, we can use the quadratic formula on the quadratic factor:

x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)

x = (-1 ± sqrt(1 - 48)) / 2

x = (-1 ± sqrt(-47)) / 2

x1 = (-1 + i(sqrt(47))) / 2

x2 = (-1 - i(sqrt(47))) / 2

Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.

Step-by-step explanation:

give me thanks for more! your welcome bud!

it would be 15 in. diagonal

1. There are two performance obligations in a contract to buy a pair of SunBoots from Clarks Inc: Delivery of Sunboots and Discount Coupon.

2. The journal entry to record the revenue for the sale of 1,000 pairs of SunBoots when Clarks cannot estimate the standalone selling price of a pair of SunBoots sold without a coupon is as follows:

Debit Cash $70,000

Credit Sales Revenue $65,800

Credit Deferred Revenue from Discount Coupon $4,200

(To record the sale of 1,000 pairs of SunBoots, including the discount coupon.)

Performance obligations refer to distinct goods and services agreed to be provided in a contract between the two parties.

Performance obligations arise because each separate goods or services benefit the customer distinctly from others.

In accounting for the revenue or costs, efforts should be geared toward recognizing the activity as soon as they bestow or transfer economic benefits to the buyer.

Selling price per pair = $70

Discount coupon = 30%

Estimated percentage of customers who will utilize the coupon = 20%

The number of SunBoots sold = 1,000

Cash $70,000 Sales Revenue $65,800 Deferred Revenue from Discount Coupon $4,200 ($70,000 x 30% x 20%)

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Answer:

0.167

Step-by-step explanation:

if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6

technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167

that should end up being your answer if i did the math right

Answer:

Step-by-step explanation:

5/12 * 6/15 =30/180

1/6=1/6

which is true, Right-hand side is equal to left-hand side

the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.

A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.

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Bank B will cost him R3205 MORE.

He must go with Bank A.

Answer:

I think its C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The equation for the given scenario is y=4x. Therefore, option D is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, (1, 4), (2, 8), (3, 12), (4, 16) and (5, 20).

Now, slope = (8-4)/(2-1)

m=4

Substitute m=4 and (x, y)=(1, 4) in y=mx+c, we get

4=4(1)+c

c=0

Substitute m=4 and c=0 in y=mx+c, we get

y=4x

Therefore, option D is the correct answer.

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Answer:

(c) neither odd nor Even

Step-by-step explanation: ​

f(x) odd ⇒ f(-x) = - f(x)

⇒ g(-x) = f(-x) + 2  = - f(x) + 2

Since - f(x) + 2 ≠ - f(x) - 2  and   - f(x) + 2 ≠  f(x) + 2

Then     g(-x) ≠ - g(x)         and   g(-x) ≠ g(x)

Then g is neither  odd      nor    even

Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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Answer:

no an interger can not be a decimal or a fraction an integer is a whole number

Step-by-step explanation:

Answer: I think that the answer is 3/4 miles

Step-by-step explanation:

The result of the carrying out the operation, Add -4(row 1) to row 3, on the given matrix is:

\(\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\0&-9&2&12\end{array}\right]\)

From the question, we are to perform the given row operation on the given matrix

From the given information, the given matrix is:

\(\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\4&-1&6&-8\end{array}\right]\)

We are to carry out the operation

Add -4(row 1) to row 3

This means we should multiply row 1 by -4

-4 × [ 1     2    1   | -5

       -4   -8   -4  | 20

Now, we will add the result to row 3

4    -1     6  |  -8

-4   -8   -4  | 20

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

0    -9    2  |  12

Hence,

The resulting matrix becomes

\(\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\0&-9&2&12\end{array}\right]\)

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The elements of (OUR)', (O∩R)', and O∩R will be {23, 29}, {22, 23, 24, 26, 28, 29, 30}, and {null}, respectively.

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

O and R are the subsets of a Universal set, U, such that

U = {22,23,24,25,26,27,28,29,30}

O = {prime numbers} = {23, 29}

R = {even numbers} = {22, 24, 26, 28, 30}

The elements of (OUR)' will be given as,

(OUR)' = {23, 29}

The elements of (O∩R)' will be given as,

(O∩R)' = {22, 23, 24, 26, 28, 29, 30}

The elements of O∩R will be given as,

O∩R = 0

The elements of (OUR)', (O∩R)', and O∩R will be {23, 29}, {22, 23, 24, 26, 28, 29, 30}, and {null}, respectively.

The Venn diagram is given below.

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Answer: 107,000

Step-by-step explanation:

the exponent is a positive 5, so move the decimal point 5 places right.

if exponent is negative, go the other direction

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

The function f(x) has a minimum value of

 2(-1)+2 = 0

The function g(x) has a minimum value of g(3) = -2

The function h(x) has a minimum value of h(1) = 3

Of the minimum values 0, -2, 3, the least is -2, corresponding to g(x).

Answer:

..........................................................................................................................................................................

Answer:

um..BG should also be equal to 12 I guess

Answer:

-1/3

Step-by-step explanation:

No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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Answer:

You can call me at the entertainment industry and I said I would like to troll sistah I am bear with me and I said I would like to troll sistah I am bear with me and I said I would like to troll sistah I am bear with me

Answer:

67

Step-by-step explanation:

a circle = 360

133 + 133 = 266

360 - 226 = 134

134 ÷ 2 = 67