Match the function with the graph

Answer:

Y=1/3(x-1)*2-4

Step-by-step explanation:

jus look at the answer bra

Answer:

5.2

Step-by-step explanation:

add back 0.8 from 7 am temp which is 4.4 degrees.

Answer:

5.2 °C

Step-by-step explanation:

4.4°C + 0.8°C = 5.2°C

The value the angles Y is 40° if ∠S and ∠Y are complimentary, as stated in the previous sentence.

Complement or "favorable" refers to "offering a compliment." In the context of goods or services offered as a favor, it can also signify "free." The term "complementary" means to emphasize or enhance the positive aspects of that other person or object.

Angles that add up to 90 degrees are said to have complementary angles.

As a consequence, the value of factor y will be determined using the information provided:

x + y = 90°

3y - 70° + y = 90°

Collect like terms

3y + y = 90° + 70°

4y = 160°

y = 160/4

y = 40°

Angle y has a value of 40°.

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Answer:

$10.2

Step-by-step explanation:

Use this formula:

Price of product after discount = Initial  Price * ( 1 - (discount/100) )

B is the assertion that captures the final behavior of the function f(x) = 3|x 7| 7. As x moves closer to zero, f(x) moves closer to positive infinity.

An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate

From the question,

\(f(x) = 3|x − 7| − 7\\when x = -101\\then, f(x) = 3|-101 − 7| − 7\\f(x) = 3|-108| − 7\\\)

f(x) = 3 × 108 − 7

f(x) = 324 -7

\(f(x) = 317\\Also, when x = -3000\\then, f(x) = 3|-3000- 7| - 7\\f(x) = 3|-3007| - 7\\f(x) = 3 × 3007 - 7\\\)

f(x) = 9021 - 7

f(x) = 9014

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The distance in kilometers in scientific notation \(2.03 \times 10^3 km\)

Scale factors are values or constants multiplied with a variable

If Alvin and Simon raced a distance of \(2.9 \times 10^2\) kilometers and they need to race 7 times that distance in a kilometer, the distance traveled will be:

Hence the distance in kilometers in scientific notation \(2.03 \times 10^3 km\)

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Answer:

\(y = \frac{1}{8}(x + 4)^2 + 4\)

Step-by-step explanation:

Given:

Focus of parabola: (-4, 6)

Directrix: y = 2

Required:

Equation for the parabola

Using the formula, \( y = \frac{1}{2(b - k)}(x - a)^2 + \frac{1}{2}(b + k) \) , the equation for the parabola can be derived.

Where,

a = -4

b = 6

k = 2

Plug these values into the equation formula

\( y = \frac{1}{2(6 - 2)}(x - (-4))^2 + \frac{1}{2}(6 + 2) \)

\(y = \frac{1}{2(4)}(x + 4)^2 + \frac{1}{2}(8)\)

\(y = \frac{1}{8}(x + 4)^2 + \frac{8}{2}\)

\(y = \frac{1}{8}(x + 4)^2 + 4\)

Answer:

3.6cm cubed

Step-by-step explanation:

First solve for both glasses' volumes.

Use l×w×h to plug in the numbers:

3.1×2×3=18.6

3.7×2×3=22.2

then subtract= 3.6

Answer:

3.6 \(cm^{3}\)

Step-by-step explanation:

Volume for first container is 3.1 x 2 x 3 = 18.6

Volume for second container is 3.7 x 2 x 3 = 22.2

22.2 - 18.6 = 3.6

Answer:

K^2 - 100 = (K + 10)(K - 10)

16p^2 - 36 = 4(4p^2 - 9) = 4(2p + 3)(2p - 3)

9d^2 - 32 = (3d - 4)(3d + 4)

24a^2 - 54b^2 = 6(4a^2 - 9b^2) = 6(2a + 3b)(2a - 3b)

100b^3 - 36b = 4b(25b^2 - 9) = 4b(5b - 3)(5b + 3)

Answer:

$2416

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 1600 × 0.0425 × 12 = 816

I = $ 816.00

The simple interest accumulated

on a principal of $ 1,600.00

at a rate of 4.25% per year

for 12 years is $ 816.00.

Answer:

Option (1)

Step-by-step explanation:

From the unit circle, we see that y, which represents sin(x) when x is 0 or pi.

Answer:

(1,-1)

Step-by-step explanation:

-2x-1 = x+2

-3x = 3

x = -1

substitute

y = (-1) + 2

y = 1

point: (1,-1)

Hi there! :)

Answer:

\(\huge\boxed{z = 8}\)

-2(z - 9) = 2

Divide both sides by -2:

-2(z - 9) / (-2) = 2/ (-2)

z - 9 = -1

Add 9 to both sides:

z = -1 + 9

z = 8.

Answer:

Step-by-step explanation:

Answer:

B 25.2

Step-by-step explanation:

AB = AC - BC

= 51.8 - 26.6 = 25.2

The total probability of a girl having a "K-name" is 3/8. The total probability of there being a girl in the club is 5/8.

Therefore, the conditional probability of having a girl with a "K-name" given that there is a girl in the club can be calculated as follows:

P (Girl | K-name) = P (K-name | Girl) × P (Girl) / P (K-name) = 2/5 * 5/8 / 3/8 = 2/3

Therefore, the probability of a girl with a K-name given that there is a girl in the club is 2/3.

In a club consisting of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve, and Samuel), we are asked to find P(Girl | K-name).

We can use Bayes' theorem to calculate the conditional probability of this event. This theorem states that the probability of an event given another event can be calculated as the product of the probability of the second event Therefore, the probability of a girl having a "K-name" given that there is a girl in the club is 2/3.

The conditional probability of there being a girl in the club given that a girl has a K-name is 2/3.

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Problem Solving and Data Analysis, Heart of Algebra, and Passport to Advanced Mathematics are three additional topics in math that are part of the SAT Math section. These topics cover various concepts and skills that are essential for solving complex mathematical problems and analyzing data effectively.

Problem Solving and Data Analysis: This topic focuses on the ability to interpret and analyze real-world scenarios, solve problems using quantitative reasoning, and apply mathematical models to data. It includes concepts such as ratios, proportions, percentages, statistics, data interpretation, and data representation.

Heart of Algebra: This topic emphasizes algebraic concepts and skills, particularly those related to linear equations, linear inequalities, and systems of linear equations. It involves understanding and solving equations, manipulating algebraic expressions, graphing linear functions, and solving word problems using algebraic methods.

Passport to Advanced Mathematics: This topic builds upon the foundational algebraic skills and extends into more advanced mathematical concepts. It covers topics such as quadratic equations, exponential and logarithmic functions, radicals and rational exponents, polynomial operations, and complex numbers. It also involves solving higher-order equations, understanding function transformations, and applying algebraic concepts in various contexts.

These topics are important for SAT Math because they assess a student's ability to apply mathematical knowledge and problem-solving strategies to real-world situations. Familiarity with these topics enables students to analyze data, reason quantitatively, solve complex algebraic problems, and make connections between different mathematical concepts.

In conclusion, Problem Solving and Data Analysis, Heart of Algebra, and Passport to Advanced Mathematics are key topics in the SAT Math section. Mastering these topics is essential for achieving a high score on the SAT and for developing strong problem-solving and data analysis skills in mathematics.

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The possible value of R2 that indicates the strongest linear relationship between two quantitative variables is a) 80%. The possible value of R2 that indicates the strongest linear relationship between two quantitative variables is 100%.

R2, also known as the coefficient of determination, is a statistical measure that represents the proportion of variance in one variable that is explained by another variable in a linear regression model. It ranges from 0% to 100%, where a higher value indicates a stronger linear relationship between the variables.

It is important to note that R2 alone should not be used as the sole determinant of a strong linear relationship between variables. Other factors, such as the sample size, the strength of the correlation coefficient, and the presence of outliers, should also be considered. Additionally, R2 can be affected by the inclusion or exclusion of variables in the model and the overall goodness of fit of the regression equation. Therefore, it is recommended to use multiple methods of analysis and evaluation when examining the relationship between two quantitative variables.

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Answer:

I dont know

Step-by-step explanation:

Answer:

9000 interest

Step-by-step explanation:

that is answer

Answer:

B. Homeowners pay additional property taxes

Step-by-step explanation:

The P-value is 0.3204.

The hypothesis to be tested is as follows:

Null hypothesis H0: The outcomes occur with equal frequency for each side of the die.

Alternative hypothesis H1: The outcomes do not occur with equal frequency for each side of the die.

The test that can be applied in this situation is a chi-square goodness of fit test. In this test, the observed frequencies are compared with the expected frequencies based on the null hypothesis. The test statistic is calculated using the following formula:

x² = Σ ((O - E)2 / E) where O is the observed frequency and E is the expected frequency.

The degrees of freedom for this test are (number of categories - 1).In this case, there are six categories (sides of the die), so the degrees of freedom are 5.

Using a chi-square distribution table with 5 degrees of freedom and a 5% level of significance, the critical value of the test is 11.07. The calculated value of the test statistic is:

x² = ((14 - 10)2 / 10) + ((7 - 10)2 / 10) + ((14 - 10)2 / 10) + ((15 - 10)2 / 10) + ((4 - 10)2 / 10) + ((6 - 10)2 / 10)

x²= 5.8

The P-value for this test is the probability of getting a test statistic value of 5.8 or greater assuming the null hypothesis is true. This probability can be found using a chi-square distribution table with 5 degrees of freedom. The P-value is 0.3204.

Since the P-value is greater than the level of significance, we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that the outcomes do not occur with equal frequency for each side of the die.

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The margin of error is approximately 0.014 grams, rounded to three decimal places.

To construct a 98% confidence interval for the mean of repeated measurements of the weight, we can use the following formula:

CI = x ± z × (σ/√n)

Where:
x = mean result = 10.230 grams
σ = standard deviation of scale readings = 0.020 gram
n = number of repeated measurements = 40
z = z-score for 98% confidence interval = 2.326

Plugging in the values, we get:

CI = 10.230 ± 2.326×(0.020/√40)
CI = 10.230 ± 0.014
CI = (10.216, 10.244)

Therefore, the 98% confidence interval for the mean of repeated measurements of the weight is (10.216, 10.244) grams.

The margin of error is the difference between the upper and lower bounds of the confidence interval divided by 2, so:

Margin of error = (10.244 - 10.216)/2
Margin of error = 0.014

Thus, the margin of error is 0.014 grams.

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Answer:

-25

Hope this helps you out :)

Answer:

the answer should be -25

Answer:

Step-by-step explanation:

8 ÷ 2 4/9

36/11 or 3 3/11 or 3.27

Answer:

In exact form it is 36/11. In decimal form it is 3.277777 going on forever. And last is mixed number form 3 3 11.

Step-by-step explanation:

Answer:

10 lattes and 23 cappuccinos were sold.

Step-by-step explanation:

Given that one day, a café sells 3 more than twice the number of cappuccinos as they do lattes, and they sold a total of 33 cappuccinos and lattes together, to determine which equation could be used to find the number of lattes that were sold at the coffee the following calculation must be carried out:

Latte = X

Cappuccino = 2X + 3

X + 2X + 3 = 33

3X + 3 = 33

3X = 33 - 3

X = 30/3

X = 10

Latte = 10

Cappuccino = 2 x 10 + 3 = 23

Therefore, 10 lattes and 23 cappuccinos were sold.

From the present question, let's say that the missing angles are a, b, and c. We know that the sum of the other seven is equal to 1220°. By definition, the sum of the inner angles of any polygon is given by:

In the present case, n = 10. Which means:

From the information given, we are able to say that:

Here we found the first equation. The information about supplementary and complementary angles can be written as:

Now we have the following system of equations:

If we substitute the second equation in the first one, we are able to find the value for c. Performing this calculation, we find the following:

With this value, we are able to substitute the value of c in the third equation, and find the value of b, as follows:

Now, we can substitute the value of b in the second equation of the system, to find the value of a, as follows:

Now, from all the given information, we were able to find that, the three missing angles are:

Because the question did not name the angles, their name and order are not important, just the values.

The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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Answer:

D

Step-by-step explanation:

when x=1, y should = 2

2(1)=2

so y=2x is correct

The values of the the required sides of parallelogram PQRS are: RQ = 9, and TQ = 6.

Properties of a parallelogram.

A parallelogram is a plane shape which has opposite sides to be equal and parallel to each other.

A diagonal of a parallelogram is a straight line through its opposite edges which divide it into two equal parts. It has two diagonals that intersect at right angle.

From the given question, it can be deduced that:

i. PS = RQ

2a + 5 = 5a -1

1 + 5 = 5a - 2a

6 = 3a

a = 2

So that,

RQ = 5a -1

      = 5(2) - 1

RQ = 9

ii. SQ - ST = TQ

TQ = (7b - 9) - (3b - 3)

     = 4b - 6

TQ = 4b - 6

But,

2ST = SQ

2(3b - 3) = 7b - 9

6b - 6 = 7b - 9

9 - 6 = 7b - 6b

b = 3

So that,

TQ = 4b - 6

     = 4(3) - 6

     = 12 - 6

TQ = 6

Thus the values of RQ is 9 and TQ is 6 i.e option C.

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Answer:

See the attached graph

Step-by-step explanation:

The solution is the labelled point of intersection in the graph