Find the measure of the last angle of the triangle below.
28⁰
35°

Answer:

C.  x=7, y=5

Step-by-step explanation:

Step-by-step explanation:

10x-40+15=-15

10x=-15-15+40

10x=10

x=1

Answer is 1

To multiply and simplify √6x^3 * √18x^2, we can combine the radicals and simplify the expression. The simplified form is 3x^3√2.

To multiply the given radicals, we can combine the square roots and simplify the expression. Let's break down the radicals into their prime factors:

√6x^3 = √(2 * 3) * x^3 = x^3√2√3

√18x^2 = √(2 * 3^2) * x^2 = x^2√2√(3^2) = x^2√2√9 = x^2√2 * 3

Now, we can multiply the two expressions:

(x^3√2√3) * (x^2√2 * 3) = (x^3 * x^2) * (√2√3 * √2 * 3)

                          = x^(3+2) * √(2 * 2) * √(3 * 3) * 3

                          = x^5 * √4 * √9 * 3

                          = x^5 * 2 * 3

                          = 6x^5

Therefore, the simplified form of √6x^3 * √18x^2 is 6x^5.

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Alejandro has completed the greatest portion of the race (65%).

The friend who has completed the greatest portion of the race is Alejandro, with 65% of the race completed. This is because 65% is greater than the other portions completed by the other friends: 3/5 (or 60%), 0.7 (or 70%), and 18/25 (or 72%). Therefore, Alejandro has completed the greatest portion of the race.

A portion of a race can refer to different distances depending on the race. For example, a marathon race is typically 26.2 miles long and can be divided into several different portions, such as the first 5 miles, the middle 8 miles, and the last 13.1 miles. In a shorter race such as a 5K or 10K, the portions may be shorter and more specific, such as the first quarter-mile or the second lap of the course.

Portions of a race are often used as checkpoints to help runners stay on pace and measure their progress during the race.

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Answer:

No solutions

Step-by-step explanation:

3x+2y-5y=0

3x-3y=0

x=y+10

3(y+10)-3y=0  ==> plugin y+10 for x

3*y + 3*10 - 3y = 0 ==> distribute 3 to y and 10

3y + 30 - 3y = 0

3y - 3y + 30 = 0

30 \(\neq\) 0    

3(y+10)-3y \(\neq\) 0

3(y+10)-3y \(\neq\) 3x-3y  ==> 3x-3y=0

Hence, there are no solutions.

Frequency distribution graphs, exponential graphs, logarithmic graphs, trigonometric graphs, and statistical graphs are among the six types of graphs (such as bar, pie, and line graphs).

A straightforward two-dimensional graph is created when a vertical and horizontal line join at the origin. The y axis is vertical whereas the x axis is horizontal. In simple line graphs, the x and y axes are split into regularly spaced sections and assigned integer values.

There are eight main categories of graphs: linear, power, quadratic, polynomial, and they are all used to organise how information is presented.

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16<x+y<19,60<xy<84,10/7<y/x<12/6,3<y-x<6

smallest with the smallest biggest with the biggest, biggest with smallest, smallest with biggest

Answer:

x=6

y=5

Step-by-step explanation:

15x and 90 are vertical angles and vertical angles are equal

15x = 90

Divide by 15

15x/15 = 90/15

x = 6

15x and 5x+12y are corresponding angles and corresponding angles are equal when the lines are parallel

15x= 5x+12y

Subtract 5x

15x-5x = 5x+12y-5x

10x = 12y

10(6) = 12y

60 = 12y

Divide by 12

60/12 = 12y/12

5 = y

Using inequality, we know that Mia needs to buy 41 sets of knives.

So, the number of sets of knives Mia could buy:

At least 657 knives are required by the restaurant, so:

The difference is:

Now, solve as follows:

Rounding off: 41

Therefore, using inequality, we know that Mia needs to buy 41 sets of knives.

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We can form a total of 42 stacks of 8 cans each from the 7 boxes of cat food received by the pet store.

Now, We can use a bar model to represent the total number of cans and the number of stacks that can be formed.

First, let's find the total number of cans:

7 boxes x 48 cans/box = 336 cans

Now, let's use a bar model to represent this total:

| 336 cans of food  |

Next, we want to find how many stacks of 8 cans we can form. We can use a separate bar model to represent the size of each stack:

| 42 stacks of 8 cans each |

Hence, The number of stacks that can be formed, we need to divide the total number of cans by the number of cans in each stack:

336 cans ÷ 8 cans/stack = 42 stacks

So the final bar model looks like this:

| 336 cans of food  | = | 42 stacks of 8 cans each |

Therefore, we can form a total of 42 stacks of 8 cans each from the 7 boxes of cat food received by the pet store.

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The dimensions are 156m and 65m

The perimeter is 442m.

The formulae that can be used to determine the dimensions when the ratio of the dimensions are given and the diagonal is given are:

h = \(\frac{H}{\sqrt{ 1 + r^{2} } }\)

w = \(\frac{Hh}{\sqrt{ 1 + r^{2} } }\)

Where:

h = \(\frac{169}{\sqrt{ 1 + 0.41667^{2} } }\) = 156m

w = \(\frac{(169 x 156)}{\sqrt{ 1 + 0.41667^{2} } }\) = 65m

The perimeter of a rectangle = 2(length + width)

2(156 + 65)

2(221) = 442m

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The total cost of buying the ladder at each store is $339.20.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

We are given that;

Cost of ladder= $320

Sales tax of shipping and handling is 5% and 6%

Off on hardware= 10%

Now,

PART A:

At the online store, the ladder costs $320, and the sales tax is 6% of $320, which is:

$320 x 0.06 = $19.20

The shipping and handling is 5% of $320, which is:

$320 x 0.05 = $16

So the total cost of buying the ladder online is:

$320 + $19.20 + $16 = $355.20

At the physical store, the ladder costs $350, and the sales tax is 6% of $350, which is:

$350 x 0.06 = $21

So the total cost of buying the ladder at the physical store is:

$350 + $21 = $371

Therefore, buying the ladder online would be cheaper, with a total cost of $355.20.

PART B:

If the hardware store is offering 10% off the price of the ladder, the cost of the ladder would be:

$350 x 0.1 = $35 off

$350 - $35 = $315

So the total cost of buying the ladder at the physical store with the discount would be:

$315 + $18.90 (6% sales tax) = $333.90

If the online store is offering free shipping and handling, the total cost of buying the ladder online would be the same as the cost of the ladder:

$320 + $19.20 (6% sales tax) = $339.20

Therefore, by the given percentage the answer will be $339.20.

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Step-by-step explanation:

angle b = 25° ( vertically opposite)

angle a = 155° ( linear pair)

angle c = 155 ( vertically opposite)

angle a and c are vertically opposite angles

Answer:

9

Step-by-step explanation:

substitute the x which is x= 2, so

f(2)= (2+1)^2

=(3)^2

=9

Answer:

9

Step-by-step explanation:

The correlation between variables x and y is 0.50 . The true option is option (c) .

that's the regression coefficient is positive for given bivariata.

Correlation: Correlation is a statistical measure of how linearly two variables are related (meaning they change together at a constant rate). The

sample correlation coefficient r quantifies the strength of the relationship.

Correlation Coefficient: The Correlation Coefficient formula is used to examine the strength of the relationship between data. The formula returns a value between -1 and 1.

Here:

Pearson's correlation coefficient is denoted by "r" and is

r = (n∑xy - ∑x∑y )/√( n ∑x² - (∑x )² ) ( √ n∑y² - (∑y)²)

We have given that correlation between x and y is 0.50.

cor(x,y) = √r^2 => √r^2 = 0.50 => r ^2 = (0.50)^2

=> r^2 = 0.25 > 0 but less than 0.50 ---( 1)

Regression coefficient is the constant "b" in the regression equation that gives the change in the value of the dependent variable equal to the unit change in the independent variable.

Symbolically it can be expressed as:

bₓᵧ= r σ ₓ /σ ᵧ

where x and y are correlated

σ ₓ --> standard deviation of X

σᵧ ---> standard deviation of y

We know that standard deviations is square root value of variance of observations. we also know square root any quantity is always positive or zero.

Using the above fact about standard deviations and correlation coefficient (r) is also positive we see that bₓᵧ is postive.

Hence, Regression cofficient is positive.

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Answer:

first 2 are True

the third one is false

fourth one is true

fith one is false.

Respuesta:

B) x = 4 e y = 8

Explicación paso a paso:

Busque la imagen de la pregunta adjunta a continuación;

Tomando la razón de los lados similares y equiparándolos a una constante k dará;

De los triángulos dados;

AC = PR y BC = QR

Si AC = PR, entonces;

9 = 2x + 1

Intercambio

2x + 1 = 9

2x = 9 - 1

2x = 8

x = 8/2

x = 4

De manera similar, si BC = QR, entonces;

y - 3 = 5

y = 5 + 3

y = 8

Por lo tanto, los valores de xey son 4 y 8 respectivamente.

Answer:

area = 314 ft²

Step explanation:

20/2 = 10 = radius

10²(3.14) = 314 ft²

Answer:

5 units

Step-by-step explanation:

The radius of a circle is half of the diameter.

Hope it helps!

Answer:189 hours

Step-by-step explanation: 398 divided by 2 =199 -10 =189

SOLUTION

The given line passes through the points:

The slope of the line is calculated using:

Using the points the slope is:

The slope of the line is:

If you don’t need any further explanation, I’ll go ahead and end our session. Remember the answer is saved in your profile.

Answer:

Its B

I only answered it on the test and it said it was right

The vertical asymptote concept is used to solve this question. First, I explain the concept, and then, we use it to solve the question.

Using this, the correct option is the second.

Vertical asymptote:  

A vertical asymptote is a value of x for which the function is not defined, that is, it is a point which is outside the domain of a function;  

In a graphic, these vertical asymptotes are given by dashed vertical lines.

In this question:

Vertical asymptoes at \(x = -3\) and \(x = 3\)

At x = -3

To the left(x < -3), goes to plus infinite. To the right(x > -3), goes to negative infitite, so:

\(\lim_{x \rightarrow -3^{-}} = \infty, \lim_{x \rightarrow -3^{+}} = -\infty\)

At x = 3

To the left(x < 3), goes to plus infinite. To the right(x > 3), goes to negative infinite, so:

\(\lim_{x \rightarrow 3^{-}} = \infty, \lim_{x \rightarrow 3^{+}} = -\infty\)

Left and right have the same limits both at x = -3 and x = 3, and thus, they behave in the same manner, and the second option is correct.

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We can start with the $100.

100 × 1/2 = 50

(You can also just divide the number by 2)

50 ÷ 2 = 25

25 ÷ 2 = 12.5

12.50 ÷ 2 = 6.25

6.25 ÷ 2 = 3.13 (it was 3.125 but we can round up to the nearest cent)

3.13 ÷ 2 = 1.56

1.56 ÷ 2 = 0.78

0.78 ÷ 2 = 0.39

0.39 ÷ 2 = 0.20

0.20 ÷ 2 = 0.10

0.10 ÷ 2 = 0.05

0.05 ÷ 2 = 0.02

0.02 ÷ 2 = 0.01

0.01 ÷ 2 = 0.01 (still rounding up)

0.01 ÷ 2 = 0.00

Now, our current value is at $0.00

The resultant force must be equal and opposite to Betty's force for equilibrium. Hence, FN = - (FA + FC)

(a) If Charles pulls in the direction indicated in the picture, we can use vector addition to find the resultant force. By adding Alex's and Charles' forces as vectors, the resultant force must be equal and opposite to Betty's force for equilibrium. Hence, FN = - (FA + FC).

(b) If Charles pulls in the other possible direction for equilibrium, we again use vector addition. In this case, the resultant force must be equal and opposite to the vector sum of Alex's and Charles' forces. Therefore, FN = - (FA - FC).

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The normal distribution have an importance in statistics of whether or not out appears in nature, because it fits several natural phenomena.

For exa. measurement error, heights, IQ scores, and physical activity measures all follow the normal distribution.

In this question we need to describe why does the normal distribution have an importance in statistics of whether or not out appears in nature.

We know that if we plot the probability distribution and it forms a bell-shaped curve. If the mean, mode, and median of the sample are equal then the variable has normal distribution.

A normal distribution is dependent on two parameters of the data set: mean and the standard deviation of the sample.

This characteristic of the normal distribution makes it extremely simple.

Also, the normal distribution is important because of the Central limit theorem.

It makes math easy - like calculating moments, correlations between variables, and other calculations that are domain specific.

So, the normal distribution have an importance in statistics of whether or not out appears in nature.

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Answer:

ok so 5x5 which is 5 to the 2nd power is 25 and 25+3= 28 and 28 is ur answer :D

Step-by-step explanation:

Answer:

y=28

Step-by-step explanation:

Answer: The item is $42 off.

Step-by-step explanation:

Whenever you have a percentage of a number you simply turn the percentage into a fraction by dividing it by 100. Here 60% would become 0.6. Then you multiply the regular price of $70 by 0.6 to get 60 percent of 70 which is 42. That means that $42 is discounted from the original.

Patrick received a total of approximately $6,785.97 over the course of 52 weeks.

To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.

To find the sum of a geometric sequence, we can use the formula:

Sn = a * (r^n - 1) / (r - 1),

where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).

Plugging these values into the formula, we can calculate the sum of the sequence:

S52 = 10 * (1.1^52 - 1) / (1.1 - 1)

After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.

As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.

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Answer:91.44  rounded is 91

Step-by-step explanation:

Answer:

there is one answer

Step-by-step explanation:

4x⁵ = 10 →

\(x = \sqrt[5]{ \frac{10}{4} } = \sqrt[5]{2.5} \)