pqrs is a parallelogram if r is equals to St and angle B equals to 120° if angle as 2 equals to 4x calculate the value of x​

The vector as a linear combination of standard unit vectors i and j is,

⇒ - i + 7j

We have to given that;

The initial and terminal points of RS are given below,

⇒ R(11, -4) and S(10, 3)

Hence, We can write as;

R = 11i - 4j

S = 10i + 3j

Hence, The vector as a linear combination of standard unit vectors i and j is,

⇒ RS = S - R

         = (10i + 3j) - (11i - 4j)

         = - i + 7j

Thus, The vector as a linear combination of standard unit vectors i and j is,

⇒ - i + 7j

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Answer:

\( \huge \boxed{ \boxed{1675}}\)

Step-by-step explanation:

according to the question

population decreases in 1 year

\(2500 \times 3\% \\ 2500 \times \frac{3}{100} \\ 25 \times 3 \\ 75\)

population will decrease in 11 years

so the population of the town after 11 years will be

2500-825

Sophie needs approximately 14.82 ounces of flour to bake her cake .

To convert grams to ounces, we can use the conversion factor that 1 ounce is approximately equal to 28.35 grams . The mass m in grams (g) is equal to the mass m in ounces (oz) times 28.34952

1 ounces = 28.35 gram

So, to find the number of ounces of flour Sophie needs, we can divide the weight in grams by the conversion factor .

420 g × 1 ounces / 28.35 g

420 g / 28.35 g = 14.82 ounces

Therefore, Sophie needs approximately 14.82 ounces of flour to bake her cake .

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The probability of selecting a human character randomly in the game is \(\frac{1}{3}\)

The probability that a human character will be chosen when the player selects a character randomly can be calculated by dividing the number of human characters by the total number of available characters.

There are 8 animal characters and 4 human characters, making a total of 12 characters to choose from. Therefore, the probability of selecting a human character randomly is:

P(Human) = Number of human characters / Total number of characters

P(Human) = 4 / 12

Simplifying this fraction, we find:

P(Human) = 1 / 3

Therefore, the probability of selecting a human character randomly is 1/3 or approximately 0.333.

In the given scenario, there are a total of 8 animal characters and 4 human characters, making a total of 12 characters to choose from. When a player selects a character randomly, each character has an equal chance of being chosen. Since there are 4 human characters, the probability of selecting one of them is determined by dividing the number of human characters (4) by the total number of characters (12).

When we simplify the fraction 4/12, we find that it is equal to 1/3.

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Answer:

2, 4, 8, 16, 32

Step-by-step explanation:

Answer:

12,936

I hope this Answer your question

Based on the information, it can be concluded Isabella bought  2 paintbrushes and 3 jars of paint.

The average of buying a product is 0.97, which means Isabella can buy a total of 5 items (0.97 x 5 = 4.85)

Based on this different combinations of products are possible, for example, 1 paintbrush and 4 jars or 3 jars and 2 paintbrushes. However, the one that fits the final price is:

2 paintbrushes x 0.95 = $1.9

3 jars of paint x 0.99 = $2.97

$2.97 + 1.9 = $4.87

Note: This question is incomplete, here is the missing information

The paintbrushes cost $0.95 and the jar of paint cost $.099

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Answer:

Area=16.65

Perimeter=26.3

Step-by-step explanation:

To find the area of a triangle, you must multply the length and height and divide by two. An equation like this could help find the area of a triangle: A=2÷(L×W) In your case, 7.4 is the length and 4.5 is the base. Multiply 7.4 and 4.5 together and divide the result by 2.

To find the perimeter, just add 7.4, 6.3, and 12.6 together. 4.5 doesn't get added, only the 3 sides of the triangle do. Don't forget to label the measurements.

60 degrees is the measure of arc BC from the figure

The given diagram is a circle with several arc angles

arcAWB = 120 degrees

The line AC is a diameter

Since the sum of angles on a straight line is 180 degrees, hence:

arc AWB + arcBC = 180

arcBC = 180 - arc ZWX

arcBC = 180 - 120

arcBC = 60 degrees

Hence the measure of the arc BC from the diagram is 60 degrees

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P < Q because 7.8 < 19.3

The density of the object does not change regardless of how much material the object has. A 100 gram block of iron will have the same density as a 200 gram block of iron. The density of iron will stay at 7.8 grams per cm^3. The same idea applies to the silver.

The density measures how packed a material is. The larger the density, the more molecules occupy the certain amount of volume.

A similar term is "population density" which measures how many people live in a certain area. It measures how packed a place is. A rural town will have low population density, while a big city has a high population density.

Answer:

764-118=s

Step-by-step explanation:

The school has 764 students. Taking away the third graders will let you know how many are left in the other grades. Please marl brainliest.

Oh, and assuming you want the total number in each grade, 1-6? its          (764-118)%5=s

Answer:

118+s=764 is the correct answer.

2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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Step-by-step explanation:

\( = 9 \frac{3}{10} - 5 \frac{3}{4} \)

\( = (9 - 5) + ( \frac{3}{10} - \frac{3}{4} )\)

\( = 4 + \frac{6 - 15}{20} \)

\( = 4 - \frac{9}{20} \)

\( = 3 + \frac{20 - 9}{20} \)

\( = 3 + \frac{11}{20} \)

\( = 3 \frac{11}{20} \)

Answer:

343

Step-by-step explanation:

Not sure how to explain it

The velocity increase of the bus as it accelerated would be = 2 m/s

The acceleration of a moving object is defined as the vector quantity that defines the rate of change of velocity of a moving object with respect to time.

The formula for acceleration= velocity/time. That is;a = v/t

Acceleration = 0.2m/s²

Time = 25secs

velocity = acceleration× time = 25 × 0.2 = 2 m/s.

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Answer:

Y=4

Step-by-step explanation:

y intercept means x=0

Y=4

Answer:

22

Step-by-step explanation:

f(x) = 2x² + 4                         f(3)

f(3) = 2(3)² + 4

f(3) = 2(9) + 4

f(3) = 18 + 4

f(3) = 22

Answer:

1/2

Cameron made :

\(\sf \hookrightarrow \dfrac{2}{5} *160\)

\(\sf \hookrightarrow 64 \ cookies\)

Lindsey made :

Together:

Left to make:

Total made:-

Cookies left:-

Fraction:-

Answer:

When x =-7

Step-by-step explanation:

When the denominator equals 0 (can't divide by 0).

x+7=0 ==> x = -7

The largest glass bottle on record was blown in 1992 by a team in Millville, New Jersey, with a volume of 193 U.S. fluid gallons.

The information provided states that the largest glass bottle ever made had a volume of 193 U.S. fluid gallons and was created in 1992 by a team in Millville, New Jersey. This indicates that, as of 1992, no other known glass bottle had surpassed the size of this particular bottle.

The fact that this record-setting bottle was blown in 1992 suggests that, up until that point, no larger glass bottle had been successfully created. It signifies that the team in Millville, New Jersey, achieved a milestone in glassblowing by producing a bottle with a volume of 193 U.S. fluid gallons, surpassing any previous records or known instances of such a large glass container. The mention of this specific record serves as a historical reference point for the largest glass bottle ever made.

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Answer:

-10=661.5

-1=6.7

0=4.0

1=2.4

2=1.4

8=0.1

(0,4)

Step-by-step explanation:

The y intercept is (0,4)

A function is a law that relates a dependent and an independent variable.

The function is g(x) = 4 (0.6)ˣ

The table shows the value of x

The value of g(x) at different value of x is

At x = -10

g(x) = 661.5

At x = -1

g(x) = 6.7

At x = 0

g(x) = 4

At x = 1

g(x) = 2.4

At x = 2

g(x) = 1.4

At x = 8

g(x) = 0.1

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Answer:

B! Can I plz have Brainliest!!!!

Step-by-step explanation:

I've never gotten one before!

Answer is d. The testable proposed relationship between the variables in the research hypothesis is: "Then people with a high exposure to UV light will have a higher frequency of skin cancer." This portion of the hypothesis specifically establishes the expected connection between UV light exposure and the occurrence of skin cancer, allowing for investigation and data collection to either support or refute the hypothesis.

A hypothesis is a tentative explanation for a phenomenon that is based on prior knowledge and observations. It is essential to have a testable hypothesis to ensure that the research study can be conducted in a rigorous and systematic manner. A testable hypothesis allows researchers to design experiments that can collect data to support or refute the hypothesis. Without a testable hypothesis, researchers may not be able to generate meaningful results that contribute to scientific knowledge.

A critical aspect of hypothesis testing is making clear and specific predictions about the relationship between the variables. In this case, the researchers are predicting that people with a high exposure to UV light will have a higher frequency of skin cancer. This prediction is specific because it defines the level of UV light exposure that is expected to lead to a higher frequency of skin cancer. It is also measurable because the frequency of skin cancer can be quantified through data collection. By making this clear and specific prediction, the researchers can test their hypothesis and determine whether the data support or refute their hypothesis.

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Since each serving contains 2/5 of a pound, then, the total weight of x servings would be:

If the total weight of x servings should be equal to the weight of the turkey, then:

Multiply both sides of the equation by 5/2:

Simplify the expressions on both sides of the equation:

Therefore, the number of adult servings from a 10 pound turkey, will be 25.

The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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If the expected frequencies are not all equal, we can determine them by using the equation enp for each individual category, where n is the total number of observations and p is the probability for the category. This equation helps us calculate the expected frequency for each category based on their probabilities and the total number of observations.

On the other hand, if the expected frequencies are equal, we can determine them by using the equation n/k, where n is the total number of observations and k is the number of categories. This equation helps us distribute the total number of observations equally among the categories when the expected frequencies are equal.

Expected frequencies do not necessarily have to be whole numbers. They can be decimals or fractions depending on the context and calculations involved.

Goodness-of-fit hypothesis tests can be left-tailed, right-tailed, or two-tailed. These different types of tests allow us to assess whether the observed data significantly deviates from the expected frequencies. The choice of the tail depends on the specific research question and the alternative hypothesis being tested.

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The researcher to conduct a correlation analysis to explore the relationship between quadriceps strength and the number of knee injuries in athletes.

Correlation analysis is a statistical method used to determine the strength and direction of the relationship between two variables. In this case, the researcher can examine whether there is a correlation between the strength of the quadriceps (independent variable) and the number of knee injuries (dependent variable) in athletes.

By calculating the correlation coefficient, such as Pearson's correlation coefficient, the researcher can assess the degree of linear association between the two variables. The correlation coefficient ranges from -1 to +1, where values closer to -1 indicate a strong negative correlation, values closer to +1 indicate a strong positive correlation, and a value close to 0 suggests no or weak correlation.

If the correlation analysis reveals a significant positive correlation between quadriceps strength and the number of knee injuries, it suggests that individuals with stronger quadriceps may have a lower risk of knee injuries. This information can guide the researcher in developing strategies or interventions to help athletes reduce knee injuries, such as focusing on quadriceps strengthening exercises or targeted training programs.

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Answer:

y=91

Step-by-step explanation:

if x=8 when y=56,we can make a formula like this(y=7x) &then we can solve easly

y=7x

y=7*13

y=91

i hope helps you

Answer:

19 square units

Step-by-step explanation:

There are a LOT of different ways to solve this problem, most of which involve breaking up the shape into smaller shapes.  For me, it’s easier to draw a rectangle around the figure, find that area, and then subtract the four areas not in the figure.

Rectangle: would be from -3 to 3 (6) and -2 to 4 (6).  6x6=36

The four missing triangles:

AB = 1/2(3)(2)=3

BC = 1/2(2)(4)=4

CD = 1/2(2)(4)=4

DA = 1/2(4)(3)=6

6+4+4+3=17

36-17=19

Answer:

D....................

Step-by-step explanation: