Rewrite in simplest form: 8(2x)

Answer:

8

Step-by-step explanation:

Thrice means the same as 3, so 3 × 8 = 24 and when 9 is subtracted from 24 it is equal to 15

Answer:

Step-by-step explanation:

let the number be x

3x-9=15

3x=15+9     add 9 from both sides

3x=24

x=8

Answer:

X = 2/3

Hope this helps :D

Answer:

90 dollars

Step-by-step explanation:

I did maths hghbhhbghfggghggfgy

Answer:

Here is what i got x^2+6x^5+15x^4+6x+1

Step-by-step explanation:

^ that mark is for exponents btw. For anyone that is new to this

The Binomial Expansion of  [tex](x+ 1)^6[/tex] is [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex].

An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.

Given:

We have to expand [tex](x+ 1)^6[/tex]

We know the general form of Binomial Expansion

(x + y[tex])^n[/tex] = C(n, 0) [tex]x^ny^0[/tex] + C(n, 1) [tex]x^{n-1}y^1[/tex] +.........+ C(n, n) [tex]x^0y^n[/tex]

Here n= 6

So, the expansion of [tex](x+ 1)^6[/tex] is

= C(6, 0) [tex]x^6y^0[/tex] + C(6, 1)[tex]x^5y^1[/tex] + C(6, 2) [tex]x^4y^2[/tex] + C(6, 3) x³y³ + C(6, 4) x²[tex]y^4[/tex] +  

   C(6, 5) x[tex]y^6[/tex] + C(6, 6) [tex]x^0y^6[/tex]

= [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex]

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Answer:

Step-by-step explanation:

975/13=75

75 calories per brownie

Given:

The piece-wise function is:

[tex]F(x)=\begin{cases}4&\text{ if }0\leq x<2\\3&\text{ if }2\leq x<4\\2&\text{ if }4\leq x<6\end{cases}[/tex]

To find:

The domain of the given function.

Solution:

Domain of the a function is the set of those values for which the function is defined. In other words, the set of input values is called domain.

The given function is defined for the intervals [tex]0\leq x<2,2\leq x<4,4\leq <6[/tex]. So, the domain of the given function is

[tex]Domain=\{x|0\leq x<2,2\leq x<4,4\leq <6\}[/tex]

Therefore, the correct option is B.

Answer:

The percentage error is 8%

Step-by-step explanation:

Given

[tex]r = 10cm[/tex]

[tex]\triangle r =0.1cm[/tex]

Required

% error in the surface area

The surface area of a sphere is:

[tex]S = \4\pi r^2[/tex]

Differentiate

[tex]dS \approx 8\pi r\ dr[/tex]

Rewrite as:

[tex]\triangle S =8\pi r \triangle r[/tex] --- This represents the relative error

The percentage error is then calculated as:

[tex]\% Error = \frac{Relative\ Error}{Surface\ Area}[/tex]

[tex]\% Error = \frac{\triangle S}{S} * 100\%[/tex]

[tex]\% Error = \frac{8\pi r \triangle r}{\pi r^2} *100\%[/tex]

[tex]\% Error = \frac{8 \triangle r}{r} * 100\%[/tex]

[tex]\% Error = \frac{8 *0.1}{10} * 100\%[/tex]

[tex]\% Error = \frac{0.8}{10} * 100\%[/tex]

[tex]\% Error = 0.08 * 100\%[/tex]

[tex]\% Error = 8\%[/tex]

Answer:

The Z score for $37,000 is 8.49.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean family income is $34,000, with a standard deviation (for the population) of $5,000.

This means that [tex]\mu = 34000, \sigma = 5000[/tex]

Subsample of 200 city residents.

This means that [tex]n = 200, s = \frac{5000}{\sqrt{200}} = 353.55[/tex]

What is the Z score for $37,000 ?

This is Z when X = 37000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{37000 - 34000}{353.55}[/tex]

[tex]Z = 8.49[/tex]

The Z score for $37,000 is 8.49.

Answer:

2 product of x & adding it from 3 is equals to 5 ..

Answer:

Correct option is

D

(0, 0)

Form the graph, we can see that solution is (0,0).

or

The point of intersection of lines y = 3x and x = 3y must satisfies both the equation.

From the options (0,0) satisfies both the equations, hence the point of intersection of given lines is at origin i.e. (0,0).

Answer:

Step-by-step explanation:

At the point of intersection, x+3 = 3x-3

6=2x

x = 3

y = x+3 = 6

Complete Question:

Kyra is framing a square painting with side lengths of (x + 6) inches. The total area of the painting and the frame has a side length of (2x - 5) inches. The material for the frame will cost $0.07 per square inch.

Find the cost of the material for the frame is x = 16.

Answer:

The material cost of the frame is: $17.15

Step-by-step explanation:

Given

[tex]L_1 = (x + 6)\ in[/tex] --- Length of painting

[tex]L_2 = (2x - 6)[/tex] --- Frame and Painting

[tex]Cost = \$0.07[/tex] per square inch

Required

The cost of material of the frame

First, we calculate the area of the frame only

This is the difference between the areas of the frame and painting and the area of the painting

[tex]Area = (L_2)^2 - (L_1)^2[/tex]

[tex]Area = (2x - 5)^2 - (x + 6)^2[/tex]

Substitute 16 for x

[tex]Area = (2*16 - 5)^2 - (16 + 6)^2[/tex]

[tex]Area = (27)^2 - (22)^2[/tex]

[tex]Area = 245\ in^2[/tex]

The cost of the painting is:

[tex]Total\ Cost = Unit\ Cost * Area[/tex]

[tex]Total\ Cost = \$0.07 * 245[/tex]

[tex]Total\ Cost = \$17.15[/tex]

Hence, the material cost of the frame is: $17.15

Answer:

x=4

Step-by-step explanation:

-3(4x+3)

you need to break open the paranthesis

-3 times 4x equals to -12x. -3 times 3 equals to -9. That means that this expression is equal to -12x-9.

4(6x+1)

you need to break open the paranthesis

4 times 6x equals to 24x. 4 times 1 equals to 4. That means that this expression is equal to 24x+4.

-12x-9+24x+4=43

move all variables to the left side and numbers to the right side

-12x+24x=43-4+9

12x=48

x=4

The transformations of f(x) when compared to the parent function is the graph of [tex]f(x)=x^2+5[/tex] is moved 5 units up

Transformation of function is transforming a function from one form to another form .

f(x)-> f(x)+a , f(x) will be moved 'a' units up

f(x)-> f(x)-a , f(x) will be moved 'a' units down

f(x)-> f(x-a) , f(x) will be moved 'a' units right

f(x)-> f(x+a) , f(x) will be moved 'a' units left

f(x)-> -f(x), f(x) will be reflected across x-axis

f(x)-> f(-x), f(x) will be reflected across y-axis

For quadratic, the parent function is [tex]f(x)=x^2[/tex]

Given that [tex]f(x)=x^2+5[/tex]

Here , 5 is added with f(x) at the end

f(x)-> f(x)+a , f(x) will be moved 'a' units up

[tex]f(x)=x^2 ------ > f(x) =x^2+5[/tex]

The graph of f(x) will be move 5 units up

the transformations of f(x) when compared to the parent function is the graph is moved 5 units up

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Based on the arithmetic sequence, the sum of the first 19 terms is 532.

1, 4, 7, 10, 13, 16...

Sn = n/2{2a + (n - 1)d}

= 19/2{2×1 + (19 - 1)3}

= 9.5{2 + (18)3}

= 9.5(2 + 54)

= 9.5(56)

Sn = 532

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Answer:

(0,-3) and (6,0)

Step-by-step explanation:

Now you use two point form to make equation

Y2-Y1/Y-Y1=X2-X1/X-X1

here Y2=0 ,Y1=-3

X2=6 and X1=0  now put in equation to get answer

Answer:

[tex] \frac{11}{12} [/tex]

Can I be brainliest pls

Answer:

Because the P-value of 0.0733 > Alpha, Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.

Step-by-step explanation:

To understand this question, you'll have to understand a few terms: the null hypothesis, the alternative hypothesis, the p-value and the signifiance level.

The null hypothesis (H₀) is the assumption that the phenomenon doesn't exist - in this case, it is that the proportion of customers who will ask for a straw is 50%, or due to chance (you can either ask for a straw or not). When doing a statistical test for the existance of a phenomenon, we usually assume the null hypothesis to be true first.

The alternative hypothesis (Hₐ) is the assumption that a phenomenon is true. In this case, it is that that the proportion of customers who will ask for a straw is less than 50%.

The p-value is usually a result you get after performing the statistical test - it's the probability that the observed results are at least as extreme as the results actually observed, assuming that the null hypothesis is true. In this case, assuming that the proportion of customers who will ask for a straw is 50% (the null hypothesis), a p-value of 0.0733 for the observed result of 43 customers means that if the experiment were to be repeated again, then there is a 7.33% chance that 43 customers or less will ask for a straw, assuming the null hypothesis is true. This seems pretty good - assuming the null hypothesis is true, there's only a 7.33% chance that we could have gotten 43 customers or less, which means it may be reasonable to "reject the null hypothesis" (i.e. the alternative hypothesis may be true).

However, in many cases a 7.33% chance may not be low enough, e.g. in this problem, a less than 5% chance (i.e. p < 0.05) is necessary. This required chance for results to be statistically significantly is called the signifiance level, or alpha value, the "the probability of rejecting the null hypothesis when the null hypothesis is in fact true." In scientific journals or depending on the field of study, there may be a generally accepted signifiance level.

Answer:

11 cows and 6 ducks

Step-by-step explanation:

Answer:

x=-11

Step-by-step explanation:

not entirely sure what it means by DBJ, but lets see..

i believe the answer is x=-11.

please resend the problem fixed

Answer:

25.3333333

Step-by-step explanation:

Answer: 25.33

Step-by-step explanation:

First yo divide -456 / -18

Last is the result (what you get): 25.33

Answer:

[tex]\displaystyle \frac{1}{2}[/tex]

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle (\frac{(2.7 - 0.8) \cdot 2\frac{1}{3}}{(5.2 - 1.4) \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]

Step 2: Compute

Answer:

AAS

Step-by-step explanation:

because here it is given that two angle are

equal

and a side is common between both traingle

so, both traingle are congruent by

AAS

hope it helps

Step-by-step explanation:

[tex] {f}^{ - 1} (x) = x \: value[/tex]

[tex]f(x) = \sqrt[4]{x} + 6 \\ [/tex]

[tex]x - 6 = \sqrt[4]{x} [/tex]

[tex] {(x - 6)}^{4} = x[/tex]

[tex] {f}^{ - 1}(x) = {(x - 6)}^{4} [/tex]

Answer:

B) 103.25

Step-by-step explanation:

Area of rectangle:

A = bh

A = (16)(4)

A = 64

Area of a semi-circle:

r = d/2 = 5

A = (πr²)/2

A = (3.14 * 5²)/2

A = (3.14 * 25)/2

A = (78.5)/2

A = 39.25

Combined:

64 + 39.25 = 103.25

Answer: 103.25

Step-by-step explanation:

area of the rectangle is 4*16= 64

The area of the complete circle is [tex]\pi r^{2}[/tex]

r=d/2

r=10/2

r=5

[tex]25\pi[/tex] is the area of the full circle

[tex]\frac{25\pi }{2}[/tex] is the area of the semi- circle

area of the figure

[tex]64+\frac{25\pi }{2}[/tex]=103.27

Answer:

x = 19.19°

Step-by-step explanation:

cos x = 17/18

cos x = 0.9444

x = 19.19°

Answer:

Step-by-step explanation:

Simple interest is

I=Prt

I=11500(0.10)(60/360)

I=$191.67

Answer:

Step-by-step explanation:

Experimental probability is the number of a certain outcome divided by the number of trials, in this case

32/300

0.10666... rounded to nearest thousandth this is

0.107

Answer:

B

Step-by-step explanation:

Answer:

The Answer Is 8 five dollar bills

Step-by-step explanation:

First you Multiply 5 by 8 Then divide the answer by 5