Which is 6 logx + 5log(x - 8) written as a single logarithm?

Answer:

Step-by-step explanation:

Here you go mate

Step 1

(-4x-3)-(7x-3) =22​  Equation

Step 2

(-4x-3)-(7x-3) =22​  Simplify

-11x=22

Step 3

-11x=22  Divide

Answer

x=-2

Now we have to,

→ find the required value of x.

Then the value of x is,

→ (-4x - 3) - (7x - 3) = 22

→ -4x - 3 - 7x + 3 = 22

→ -11x + 0 = 22

→ x = -22/11

→ [ x = -2 ]

Thus, the value of x is -2.

Answer:

Amy drove 104 miles

Step-by-step explanation:

let 'a' = miles Amy drove

let '2a' = miles Jessica drove

a + 2a = 312

3a = 312

a = 312/3

a = 104

2a = 208

Check:  104+208 should equal 312 and it does

=========================================================

Explanation:

Combine the two expressions: x+2x = 3x

The two girls traveled a total distance of 312 miles, so 3x = 312

Divide both sides by 3 to solve for x. You should get x = 104

Amy drove 104 miles and Jessica drove 2*104 = 208 miles

Check:

Amy + Jessica = 104 + 208 = 312

The answer is confirmed.

Answer:

Area is probably around 153.94

Step-by-step explanation:

Answer:

49π or 153.93804

Step-by-step explanation:

The formula for area of a circle is Pi * radius^2. The radius is half of the diameter, so the radius is 7. We then square 7, getting 49, and multiply that by pi, getting us 49π or 153.93804

Answer:

distributive property

Step-by-step explanation:

distributive property, because 4 carries over to each variable and then the two product are added.

4(x+y)=4x+4y

Analysis of variance, or ANOVA, is a statistical method that separates observed variance data into different components to use for additional tests.

ANOVA is a statistical analysis technique that divides systematic components from random factors to account for the observed aggregate variability within a data set. The presented data set is statistically affected by systematic factors but not by random ones. The ANOVA test is used by analysts to evaluate the impact of independent factors on the dependent variable in a regression analysis.

Analysis of variance, or ANOVA, is a statistical method that separates observed variance data into different components to use for additional tests.

A one-way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

If no true variance exists between the groups, the ANOVA's F-ratio should equal close to 1.

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Answer:

i dont know how to leave from this....

Step-by-step explanation:

someone else answered your question sorry i just dont know how to leave fromthis

The evaluated expression of 2a² - 8ab - √b   if a = -7 and b = 4 is 320.

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Therefore, let's evaluate the expression 2a² - 8ab - √b if a = -7 and b = 4.

Hence, let's substitute the values of and b in the expression to evaluate it.

2a² - 8ab - √b  

2(-7)² - 8 × 4 × -7 - √4

2(49) - 32 × - 7 - √4

Therefore,

2(49) - 32 × - 7 - √4 = 98 + 224 - 2

Finally, let's do the arithmetic,

98 + 224 - 2 = 322 - 2 = 320

Therefore,

2a² - 8ab - √b = 320 if a = -7 and b = 4

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The missing lengths  in the triangles are h = 3/2√2 and b = 4√3

Triangle a and b

From the question, we have the following parameters that can be used in our computation:

A special right triangle

For a right triangle with an angle of 45 degrees

The measure of the leg is

h = Hypotenuse/√2

So, we have

h = 3/√2

Evaluate

h = 3/2√2

For the other triangle, we have

sin(60) = b/6

So, we have

b = 6/sin(60)

Evaluate

b = 4√3

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Answer:

X= -1

Step-by-step explanation:

Answer:

x = -1 or D

Step-by-step explanation:

hope this helps

43.36% of the scores fall between 690 and 900 on the collegiate mathematics readiness assessment.

To determine the percentage of scores between 690 and 900, we need to calculate the area under the normal distribution curve between these two values.

First, we need to standardize the scores using the formula z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation.

For the score 690:

z1 = (690 - 680) / 120 = 0.0833

For the score 900:

z2 = (900 - 680) / 120 = 1.8333

Next, we need to find the area between these two standardized scores. We can use a standard normal distribution table or a statistical calculator to find the corresponding probabilities.

From the standard normal distribution table, we find that the area to the left of z1 is approximately 0.5328 and the area to the left of z2 is approximately 0.9664.

To find the area between z1 and z2, we subtract the smaller area from the larger area:

Area = 0.9664 - 0.5328 = 0.4336

Finally, we convert the area to a percentage by multiplying by 100:

Percentage = 0.4336 * 100 ≈ 43.36%

Therefore, approximately 43% of the scores fall between 690 and 900 on the collegiate mathematics readiness assessment.

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Pairs 4 and 8 are congruent angles.

Pairs 3 and 5 are corresponding angles.

Pairs 3 and 4 are supplementary angles.

Pairs 2 and 5 are supplementary and corresponding angles.

Pairs 1 and 8 are congruent and corresponding angles.

If two parallel straight segments A and B are intersected by a transversal segment C, two neighbouring interior angles are supplementary (sum 180 degrees), according to the same side interior angles theorem.

In the diagram, as per the proof of angles we can find that:

Pairs 4 and 8 are congruent angles.

Pairs 3 and 5 are corresponding angles.

Pairs 3 and 4 are supplementary angles.

Pairs 2 and 5 are supplementary and corresponding angles.

Pairs 1 and 8 are congruent and corresponding angles.

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Answer:

x is 1,800 kw energy used and y is $162 so a equation you can use

for every 1,800 kw of energy used you need to spend $162 so the equation would be

f(n)= 1,800 x 162^2

A. By the Unique Representation Theorem, for each x in V, there exists a unique set of scalars C1, Cn such that x = C1b1 + ... + Cnbn.

By the Unique Representation Theorem, for any vector x in V, there exists a unique set of scalars C1, Cn such that x can be expressed as a linear combination of the basis vectors b1, ..., bn. This means that any vector in V can be uniquely represented using the basis B.

In other words, the basis B spans the vector space V, and any vector in V can be written as a linear combination of the basis vectors. The coefficients C1, Cn represent the weights or scalars that determine the combination of basis vectors needed to obtain the given vector x.

The statement A is true because it reflects the Unique Representation Theorem. It states that for each vector x in V, there exists a unique set of scalars C1, Cn such that x can be expressed as a linear combination of the basis vectors C1b1 + ... + Cnbn.

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The interval which could contain a solution to f(x) = 0 is; Choice C; -1<x<0.

According to the task content, it follows that the interval which contains a solution to f(x) = 0.

On this note, it follows that f(x) = 0 lies between the points f(x) =-1 and f(x) = 2 which corresponds to Choice C.

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Answer:

~235.8

Step-by-step explanation:

200^2 +125^2= distance traveled^2

55625= distance traveled^2

235.849528301

If a financial planner has a client with ​$19,000 to invest. The rate that  the remainder of the money need to be invested so that the two investments together yield at least $1640 in yearly​ interest is 16.67%.

Let R represent the rate

$10,000 is invested at 11%

Interest at 11%=$10,000×0.11×1=$1100

And $9000 is invested at R% ($19,000 -$10,000)

Interest at R%=$5000×R×1=$9000R

Hence,

$1640=$1100+$9000R

Subtract $1100 from both sides

$1640-$1100=$9000R

Collect like terms

$540=$9000R

Divide both sides by $9000R

R = $9,000/540

R=16.67%

Therefore the rate is 16.67%.

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From the recursive rule

\(a_n = a_{n-1}-13\)

it follows that

\(a_{n-1}=a_{n-2}-13 \implies a_n = a_{n-2} - 2\times13\)

\(a_{n-2}=a_{n-3}-13 \implies a_n = a_{n-3} - 3\times13\)

and so on. Notice how the subscript on a on the right side and the coefficient multiplied by 13 add up to n (n - 2 + 2 = n; n - 3 + 3 = n; and so on). If we continue the pattern, we'll end up with

\(a_n = a_1 + (n-1)\times13\)

so that the explicit rule for the n-th term in the sequence is

\(a_n = -2 + 13(n-1) \implies a_n = \boxed{13n-15}\)

Answer:

we need the graph in order to find the answer.

Step-by-step explanation:

Answer:

sim·i·lar·i·ty

/ˌsiməˈlerədē/

Learn to pronounce

noun

the state or fact of being similar.

"the similarity of symptoms makes them hard to diagnose"

a similar feature or aspect.

"the similarities between people of different nationalities"

Step-by-step explanation:

Answer:

The state or fact of being similar.

Answer:

$120

Step-by-step explanation:

1st you multiply 4 and 18 bc it is 18 for each of the 4 which is $72. Than you add 26 and 22 which is 48. Add 48 to 72 and your total would be $120.

Answer:

your answer is 120

Step-by-step explanation:

first multiply 18 by 4 then add it by 26 and 22.

Mario's company makes unusually shaped imitation gemstones one gemstone had 12 faces and 20 edges The gemstone has 10 vertices. the correct answer is option b.

To determine the number of vertices the gemstone has, we can use Euler's formula, which states that for a polyhedron (a solid with flat faces), the number of vertices (V), edges (E), and faces (F) are related by the equation:

V + F = E + 2

In this case, the gemstone has 12 faces and 20 edges. Let's denote the number of vertices as V.

We have V + 12 = 20 + 2

V + 12 = 22

V = 22 - 12

V = 10

Therefore, the gemstone has 10 vertices (option b).

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Given the figure of a parallelogram:

As shown:

m∠EDA = m∠HCB

We will identify the segments that are parallel

We will check the options:

A. AC || CD

Wrong because there is an intersection at point C.

B. AE || CB

Wrong, there is no line segment AE

D. AD || CB

Correct, because m∠EDA = m∠HCB

So, the answer will be D.

Answer:

The answer is perpendicular

Step-by-step explanation:

Hope i helped :)

The best guess for the standard deviation of the distribution shown in the histogram is 15.

To make a best guess for the standard deviation of the distribution shown in the histogram, we need to consider the spread or dispersion of the data.

Looking at the histogram, we can see that the data is roughly symmetric and bell-shaped, with the peak around 160-180 and gradually decreasing frequencies on either side.

Based on this information, we can make a rough estimate for the standard deviation by looking at the spread of the data. The wider the spread, the larger the standard deviation.

From the histogram, it appears that the data spans a range from 100 to 250, with a spread of approximately 150. This suggests that the data has a moderate spread.

Considering the options provided, the best guess for the standard deviation of this distribution would be 15, as it represents a moderate spread that aligns with the characteristics of the data.

Therefore, the best guess for the standard deviation of the distribution shown in the histogram is 15.

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Answer:

No.

Step-by-step explanation:

If these sides come out true in the Pythagorean Theorem, then it is a right triangle.

a² + b² = c²

56² + 80² = 100²

3136 + 6400 = 10000

9536 ≠ 10000

Since these values do not come out true in the Pythagorean Theorem, it is not a right triangle.

Answer:

Possibly, A right triangle has a really long side that is "c" in the picture. If the 100 length is c then the 80 one could be "b" while the 56 is "a"

I know it doesnt make much sense but I hope it helps

I see people looking at mine because its simple but you should look at the other guys awnser. He has information and details that explain their awnser. I didn't really do much to get the awnser. Look at theirs Please.

Answer:  =-1/2x+-1/2y

Step-by-step explanation:

The left boundary of the confidence interval in question 1 depends on the specific data and confidence level used to calculate it. In general, the left boundary represents the lower limit of the range of values within which we can be confident that the true population parameter falls. The confidence interval is calculated by taking the point estimate of the parameter, such as the sample mean or proportion, and adding and subtracting a margin of error based on the standard error and the desired level of confidence. The left boundary will be further from the point estimate than the right boundary and will decrease as the level of confidence increases.

A confidence interval is a range of values within which we can be reasonably confident that the true population parameter falls. The interval is calculated using a point estimate of the parameter, such as the sample mean or proportion, and a margin of error based on the standard error and desired level of confidence. The left boundary of the confidence interval represents the lower limit of this range of values and will be further from the point estimate than the right boundary.

In summary, the left boundary of the confidence interval depends on the specific data and confidence level used to calculate it. It represents the lower limit of the range of values within which we can be confident that the true population parameter falls. The left boundary will be further from the point estimate than the right boundary and will decrease as the level of confidence increases.

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Answer:

1st. yes

2nd. no

i don't know

Step-by-step explanation:

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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