True statement about parallelogram

Answer:

(x+4)^2  -25

Step-by-step explanation:

x²+8x-9 in the form  (x+k)² +h.

We need to complete the square.

x^2 +8x   -9

Take the coefficient of x.

8

Divide by 2.

8/2 =4

Square it.

4^2 = 16

Add this then subtract i.

x^2 +8x+16    -16   -9

The x^2 +8x+16 becomes  (x+4) ^2  and we can simplify the remaining terms.

(x+4)^2  -25

Answer:

Manny can make 4 bookmarks

Step-by-step explanation:

1/2 ÷ 1/8 = ?

(flip the second fraction and multiply)

1/2 x 8/1 = 8/2 = 4

Answer:

8/6*(8)=32/3 or 10.66666.... or 10.7 rounded

Step-by-step explanation:

They are similar triangles

so we cam compare the size of the big triangle DIR to the smaller triangle DEZ

More specifically

EZ:DZ=IR:DR

8:6=IR:(6+2)

4:3=IR:8

the to solve for IR

we multiply by 8 each side

4/3*8=32/3

Answer:

12/12

Step-by-step explanation:

6/12= 1/2

so 1/2+1/2 = One Whole and that the same thing as 12/12

Answer:

Answer is option C

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

Nearest whole number will be 782318.

Nearest ones whole number is the first digit before the decimal point of a number.

For example nearest ones of 9.6 is equal to 10.

If the tenth digit (first number before decimal point) of the number is greater than or equal to 5 we round up and add 1 to ones of number, If the tenth digit of the number is less than 5 we remove the decimal part. Example:

124.6

The first number of right of decimal point is 6

6 is greater than 5, so we add 1.

Result = 125

Now given number is 782317.772

since the  first digit after decimal is 7 which is greater than 5 thus the nearest whole number will be 782318.

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Step 1. We start by looking at the graph of the function:

The graph is:

Step 2. The horizontal axis is the x-axis, and to reflect the original graph (the graph from step 1) over the x-axis, we add a negative sign next to the x^2:

We can look at the resulting graph to confirm that the graph has now been reflected over the x-axis:

Step 3. We have reflected the graph over the x-axis but we still need to stretch it by a factor of 3.

We can stretch the graph of a quadratic function by multiplying the squared term by the factor, in this case by 3.

The resulting equation is:

And the graph will finally look as follows:

Answer:

Answer:

Number of smartphones = 45

Step-by-step explanation:

Given:

Total number of phones = 120

Ratio [Smartphones to feature phones] = 3:5

Find:

Number of smartphones

Computation:

Number of smartphones = 120[3/(3+5)]

Number of smartphones = 120[3/(8)]

Number of smartphones = 360 / 8

Number of smartphones = 45

Taylors total years of service is 21 years

Simple interest is an interest charge that borrowers pay lenders for a loan.

Simple interest is expressed as;

I = P× R × T)/100

where I is the interest,

P is the principal

R is the rate and T is the time.

In this case;

I = 1338.75 × 12 = 16065

P = $51,000

r = 1.5%

16065 = 51000× 1.5 × t/100

t = 1606500÷ 1.5 ÷ 51000

t = 21 years

Therefore the total number of years of service Taylor spent is 21 years.

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Answer:

\(\boxed{Option \ B}\)

Step-by-step explanation:

In the triangle,

Hypotenuse = 13

Opposite = Perpendicular = 5

Adjacent = Base = 12

Now,

Cos B = \(\frac{Adjacent}{Hypotenuse}\)

Cos B = 12/13

If the triangle is just like in the attached file!

Answer:

B) 12/13

Step-by-step explanation:

Work Shown:

(7 laps)/(2.5 minutes) = (x laps)/(20 minutes)

7/(2.5) = x/20

7*20 = 2.5x

140 = 2.5x

2.5x = 140

x = 140/(2.5)

x = 56

Answer:

OptionB) \(5940\)

Step-by-step explanation:

Formula to Find the Interior Angles of Any Polygon

\((n-2)\)x\(180\)

\((35-2)X180\\5940\)

Answer:

The formula that calculates the sum of the interior angles of a regular polygon is equal to : (n-2)180° ; n represents the number of sides of the polygon.

So now, we've to replace n by 35 in the formula :

(35-2)180°

And by carrying out the calculation, we obtain: 5940°.

Therefore, the sum of all the interior angles of a regular 35-sided polygon is 5940°.

Answer:

b i think

Step-by-step explanation:

Answer: Consider me the brainiest. The answer is... Decimal form =4.083

Exact form= 49/12

The mixed number form=4 1/12

How do we solve fractions step by step?

Conversion a mixed number 2  1/3 to a improper fraction: 2 1/3 = 2  1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3

To find a new numerator

A;   Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one-third are seven-thirds.

Conversion a mixed number 1  3/4 to a improper fraction: 1 3/4 = 1  3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4

To find a new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4

b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7

c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.

Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It

is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions.  The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12.  It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling.  In other words - seven thirds plus seven quarters is forty-nine twelfths.

Answer:

The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:

standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7

To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:

z = (37.4 - 40) / (8 / 7) = -1.225

Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.

give thanks, your welcome <3

Step-by-step explanation:

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

no, they have different angles. so they can't be similar.

Answer:

-8 °F is 8° below

Step-by-step explanation:

it's negative 8 so its 8 below

Answer:

5^x

Step-by-step explanation:

Each level of the question is multiplied by 5 every time x increases by 1.

The exponential function represents the data in the table is f(x) = \(5^{x}\) .

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

The exponential function is an important mathematical function which is of the form

f(x) = \(a^{x}\)

Where a>0 and a is not equal to 1.

x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable

“a” is a constant, which is the base of the function.

According to the question

Exponential function represents the data in the table

x   f(x)

2     25

3     125

4     625

Now,

Putting values in Exponential function equation at :

x   f(x)

2     25

f(x) = \(a^{x}\)  

25 = \(a^{2}\)

a =  ± 5

Now

x   f(x)

3   125  

f(x) = \(a^{x}\)  

125 = \(a^{3}\)

a =   5

Therefore ,

a = 5 which will satisfy all the values of x for f(x)

Hence, exponential function represents the data in the table is f(x) = \(5^{x}\) .

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Answer:

Step-by-step explanation:

Begin by dividing both sides by -4 to get:

\(\frac{\sqrt{2} }{2}=sin2\theta\) and then take the inverse sin of both sides to get

\(sin^{-1}(\frac{\sqrt{2} }{2})=2\theta\) (the inverse sin undoes the sin on the right). Now we need to look on our unit circle to find the angles where \(sin(\frac{\sqrt{2} }{2})\) is positive. There are 2 places. Sin is positive in both QI and QII. The angles are

\(\frac{\pi}{4},\frac{3\pi}{4}\). Therefore, our 2 equations are

\(\frac{\pi}{4}=2\theta\)  and  \(\frac{3\pi}{4}=2\theta\).  Solving the first equation:

\(\theta=\frac{\pi}{8}\)

and the second equation:

\(\theta=\frac{3\pi}{8}\)

Answer:

c

Step-by-step explanation: got it     right on test

Answer: 3= x-12.    

x=15 because all the money spent together equals 12 dollars and if he gets 3 dollars back you would add 12+3 to get x

To solve this problem one must be aware of the concepts of standard deviation and variance of raw data.

There is a direct formulae to calculate the variance of the data,

Variance = \(σ^{2} =\frac{Sigma(xi-m)^{2}}{n}\)

Now here we need to verify ∑x and ∑\(x^{2}\).

∑x = 21+19+15+32+27

     = 114

and ∑\(x^{2}\) = \(21^{2} +19^{2} +15^{2} +32^{2} +27^{2}\)

             = 441+361+225+1024+729

             = 2780

So, the given relation is true.

Now the variance of the given data by putting the values in the formulae is  equal to 45.2.

And Standard deviation=\(\sqrt{Variance}\)

                                     = \(\sqrt{45.2}\)

                                      = 6.72

And for population α²=36.16 and deviation=6.01.

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The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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If the data were transformed and points with the coordinates

(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.

To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.

Let's calculate the logarithms for the given data:

x     y            log(y)

1     12          log(12) = 1.079

2     83        log(83) = 1.919

3     580      log(580) = 2.763

Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)

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Answer:5SQRT61/

61

Step-by-step explanation:

If my bowl of easter candy has colorful foil-wrapped chocolate eggs. there are 5 gold, 7 blue, and 10 pink. The probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil is 0.45.

Total color = 5 gold + 7 blue + 10 pink

Total color = 22

Now let find the probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil

Probability (pink) = 10/22

Probability (pink) = 0.45

Therefore the  probability of Callie Brooke getting a pink foil-wrapped chocolate egg is 10/22, or approximately 0.45.

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This statement essentially establishes a relationship between the sets X, Y, and z, stating that there exists a subset Y for each element x in X such that the elements in Y are present in some subset z of X.

The given statement is a symbolic representation of a logical proposition involving quantifiers and logical connectives. Let's break down its meaning:

∀ X ∃ Y ∀u(u ∈ Y ↔ ∃z(z ∈ X ∧ u ∈ z))

The symbol ∀ (universal quantifier) indicates that the statement applies to all elements in the set X.

The symbol ∃ (existential quantifier) indicates that there exists at least one element in the set Y.

The statement can be interpreted as follows:

"For all elements x in the set X, there exists a set Y such that for every element u in Y, u is an element of Y if and only if there exists a set z in X such that u is an element of z."

In simpler terms, the statement asserts that for every element x in the set X, there is a set Y that contains elements u if and only if there exists a set z in X that also contains u.

It is important to note that the precise meaning and implications of this statement may depend on the context and interpretation of the sets X, Y, and their elements.

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Answer: ??????

explain better than i can answer

Step-by-step explanation:

Step-by-step explanation:

w = width

2w + 2 =  Length

Area = W x L  = 84 = w (2w+2)

                          84 = 2w^2 + 2w

                            0 = 2w^2 + 2w - 84        Use Quadratic Formula

                                                                 a = 2    b=2    c = -84

to find  

W = 6      then     L =  14 inches