198 -176 - {48 -(24 + 8 + 4)}}​

Answer:

5 + sqrt(65), 5 - sqrt(65)

Step-by-step explanation:

x + y = 10

x×y = -40

so, two equations with 2 variables. using one equation to express one variable by the second. and then using the second equation to solve and calculate the second variable. and then by knowing the second variable we calculate the first.

=> x = 10 - y

=> (10-y)×y = -40

=> -1×(10-y)×y = 40

=> (y-10)×y = 40

=> y^2 - 10×y - 40 = 0

remember the solution for a quadratic equation

a×x^2 + b×x + c

is

x = (-b ± sqrt(b^2 - 4×a×c)/(2×a)

in our case

a = 1

b = -10

c = -40

and we used "y".

so,

y = (--10 ± sqrt((-10)^2 - 4×1×(-40))/(2×1) =

= (10 ± sqrt(100 + 160))/2 = (10 ± sqrt(260))/2 =

= (10 ± sqrt (4×65))/2 = 10/2 ± 2×sqrt(65)/2 =

= 5 ± sqrt(65)

=>

for y = 5 + sqrt(65), x = 10 - 5 - sqrt(65) = 5 - sqrt(65)

for y = 5 - sqrt(65), x = 10 - 5 + sqrt(65) = 5 + sqrt(65)

Answer:

1

Step-by-step explanation:

To evaluate the expression 5 - t/3 when t equals 12, we substitute t = 12 into the expression and simplify:

5 - t/3

= 5 - 12/3

= 5 - 4

= 1

Therefore, when t equals 12, the value of the expression 5 - t/3 is 1.

Each angle is 53 degrees, 32 degrees, and 95 degrees.

A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same. Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees. A triangle is a three-sided polygon with three vertices. The angle produced within the triangle is 180 degrees. It signifies that the total of a triangle's internal angles equals 180°.

Here,

The sum of angles of triangle is 180 degrees.

4x+5+7x+11+2x+8=180

13x+24=180

13x=156

x=12

T=4x+5

=4*12+5

=53 degree

U=2x+8

=2*12+8

=32 degree

V=7x+11

=7*12+11

=95 degree

The measure of each angle is 53 degree, 32 degree and 95 degree.

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Answer:

x = 1

Step-by-step explanation:

the vertical line is passing through only the x-axis and not the y axis. So the graph is a x = ? All you e have to to is to look for the x coordinate of the point the vertical line is passing through which is 1 and so the answer is x = 1.

Please mark brainliest. Thanks!!!!

x=1 represents the vertical line passing through (1,-9) .

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane.

In a vertical line x-coordinate remain constant, only y-coordinate changes.

The vertical lines are parallel to the y-axis and are perpendicular to the horizontal lines. On a vertical line, all the points on the line have the same x-coordinate.

Here x=1 is the only vertical line which passes through (1,-9) So option B is correct.

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Answer: that is a less than sign or symbol

Step-by-step explanation:

Answer: Less than or Equal to

Based on the given case, this is most likely an example of quota sampling.

Justin and his team were hoping to conduct their tests in a grocery store. However, they could not receive permission to do so. In the end, they set up a booth in the student union building and asked passers-by to participate. To be more representative, they tried to divide by age and race to ensure they got enough from both genders and from different ethnicities.

Quota sampling is most likely an example of Justin and his team's goal to ask 10 Hispanic individuals to take the taste test, since they know that roughly 5 percent of the student population at the school is Hispanic. It is a non-probability sampling approach that seeks to ensure a fair representation of population subgroups.

It establishes quotas based on the characteristics of the population that is being studied, and this is generally used when the population's characteristics are known and the researcher wants to ensure that these characteristics are proportionately represented in the sample.

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The frequency of a class is the number of data points that fall within the class is 1.

To determine the frequency of each class in the table shown, we must first divide the data points into the respective classes. The classes are 1003, 1062, 1063, 1122, 1123, 1182, 1183, 1242, 1243, 1302, 1303, and 1362.

For the class 1003, the frequency is 1, since there is only one data point (1003) in this class.

For the class 1062, the frequency is also 1 since there is only one data point (1062) in this class.

For the class 1063, the frequency is also 1 since there is only one data point (1063) in this class.

For the class 1122, the frequency is 1 since there is only one data point (1122) in this class.

For the class 1123, the frequency is 1 since there is only one data point (1123) in this class.

For the class 1182, the frequency is 1 since there is only one data point (1182) in this class.

For the class 1183, the frequency is 1 since there is only one data point (1183) in this class.

For the class 1242, the frequency is 1 since there is only one data point (1242) in this class.

For the class 1243, the frequency is 1 since there is only one data point (1243) in this class.

For the class 1302, the frequency is 1 since there is only one data point (1302) in this class.

For the class 1303, the frequency is 1 since there is only one data point (1303) in this class.

For the class 1362, the frequency is 1 since there is only one data point (1362) in this class.

Therefore, the frequency of each class in the table shown is 1.

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Answer:

D.

Step-by-step explanation:

Answer:d

Step-by-step explanation:

Hypothesis: The P-value for this test is 0.026251 which is less than the significance level of 0.05.

Hypothesis is a statement or explanation proposed to explain a phenomenon. It is a logical conjecture, based on observations or experiments, made in order to draw out and test its consequences. In scientific research, a hypothesis is used as a starting point for further investigation and is tested through the scientific method. A hypothesis must be testable and falsifiable, meaning it can be tested and disproved using scientific evidence.

Therefore, we can reject the null hypothesis that there is no difference in the proportions of almonds in the new and old recipes. This means that the proportion of almonds in the new recipe is greater than in the previous recipe.

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The values of the variable x and y are x = 10 and y = 12.

In mathematics, the intersection of two or more lines refers to the point or points at which the lines meet or cross each other.

When two lines intersect, they form two pairs of opposite angles that add up to 180 degrees. If one pair of opposite angles is congruent, then their measures are equal.

Let's call the measure of the congruent angles a. Then we have:

a = 8x + 10 (the measure of one angle)

a = 15y/2 (the measure of the other angle)

Since these angles are congruent, their measures must be equal. So we can set the two expressions for a equal to each other:

8x + 10 = 15y/2

8x = 15y/2 - 10

 x = ( 15y/2 - 10) / 8  .................    equation 1

To solve for x and y, we need another equation. We know that the sum of the measures of the two angles in a linear pair is 180 degrees. So we can write:

a + a = 180

Substituting the expressions for a, we get:

8x + 10 + 15y/2 = 180

Substituting x =  ( 15y/2 - 10) / 8  into the expression we found for y, we get:

8( 15y/2 - 10) ÷ 8  + 10 + 15y/2 = 180

15y/2 - 10 +  10 + 15y/2 = 180

15y/2 + 15y/2  = 180

30y = 360

   y = 12

Substituting  y = 12 into the expression we found for x,

x = ( 15y/2 - 10) / 8

= ( 15 × 12 /2 - 10) / 8

= (15 × 6 - 10)/8

= 80/8

= 10.

Therefore, the values of x and y are x = 10 and y = 12.

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Claritin, a medication for allergy patients that was made to prevent drowsiness, was given away as free samples to doctors by its maker because of following reasons

1) One method of performing advertising is by giving samples to doctors. The business is not required to provide further product information in this type of advertisement. Samples of the product are available for customers or audiences to immediately use and evaluate the product's quality and suitability. Consequently, choosing this alternative is the best choice.

2) A common antihistamine is loratadine (Claritin). It inhibits histamine, a substance your body naturally produces that may cause allergy symptoms including itchy eyes.

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Answer:

1/4x-7/4

Step-by-step explanation:

The key words in the question are "descriptive statistics." "Descriptive" refers to describing or summarizing data, while "statistics" refers to the collection, analysis, and interpretation of data.

This question relates to the topic of statistics.

To solve this question, you need to identify which situation involves the use of descriptive statistics. You can do this by understanding that descriptive statistics involves summarizing or describing data, such as calculating measures of central tendency (like the mean or median) or analyzing the distribution of data.

The correct answer choice is C) A study shows that the average student leaves a four-year college with a student loan debt of more than $30,000. This situation involves the use of descriptive statistics because it describes the average amount of student loan debt for a particular group of people (students who attend four-year colleges).

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To calculate \(\frac{{f(x+h) - f(x)}}{h}\) for the function \(f(x) = ax^3\), we need to substitute the expressions into the formula and simplify.

\(f(x+h) = a(x+h)^3\\\\f(x) = ax^3\)

Now we can calculate the difference:

\(f(x+h) - f(x) = a(x+h)^3 - ax^3\)

Expanding \((x+h)^3\):

\(f(x+h) - f(x) = a(x^3 + 3x^2h + 3xh^2 + h^3) - ax^3\)

Simplifying:

\(f(x+h) - f(x) = ax^3 + 3ax^2h + 3axh^2 + ah^3 - ax^3\)

The terms \(ax^3\) cancel out:

\(f(x+h) - f(x) = 3ax^2h + 3axh^2 + ah^3\)

Now we can divide by h:

\(\frac{{f(x+h) - f(x)}}{h} = \frac{{3ax^2h + 3axh^2 + ah^3}}{h}\)

Canceling out the common factor of h:

\(\frac{{f(x+h) - f(x)}}{h} = 3ax^2 + 3axh + ah^2\)

Now, we evaluate this expression again by setting h = 0:

\(\frac{{f(x+h) - f(x)}}{h} = 3ax^2 + 3ax(0) + a(0)^2\)

\(= 3ax^2\)

Therefore, when we evaluate the expression by setting h = 0, we get \(3ax^2\).

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Answer: 10.99

Step-by-step explanation:Circumference= Pi x Diameter

10.99= 3.5x3.14

10.99 Is the answeraansweransweraanswer

Answer:

86

Step-by-step explanation:

= 200 +142 -28

=342-28

=314

= 1000

Answer:

i have no clue

Step-by-step explanation:

lol

Answer:

$2623.5

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^ t

Where

A represents the value of the car after t years.

t represents the number of years.

P represents the value of the car.

r represents rate of decay.

From the information given,

P = 24500 dollars

r = 14.75% = 14.75/100 = 0.1475

t = 14 years

Therefore

A = 24500(1 - 0.1475)^14

A = 24500(0.8525)^14

A = $2623.5

The inequality for sec (x) < cot (x) is;  π/2 < x < π

We are given that;

We want to find the intervals that the trigonometric inequality sec (x) < cot (x) always hold true.

This can also be expressed as;

1/cos (x) < 1/tan (x)

Now, this can happen only in the quadrant where tan (x) is negative and cos x is positive which is in fourth quadrant where;

π/2 < x < π

The inequality for sec (x) < cot (x) is;  π/2 < x < π

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Answer:

C on edge 22 for Pre-Calculus

Step-by-step explanation:

pi < x< 3pi/2

I retook the unit test, put C, and got a 100. I promise it's right

A testable prediction of what will happen under a specific set of conditions is known as a hypothesis.

A hypothesis is a tentative explanation or prediction about a phenomenon or relationship between variables, based on limited evidence or prior knowledge. It is often formulated as a statement that can be tested through research or experimentation.

A hypothesis typically includes an independent variable (the variable that is being manipulated or studied) and a dependent variable (the variable that is being measured or observed). The hypothesis also includes a prediction about how the independent variable will affect the dependent variable.

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The interquartile range (IQR) is found as the 20.24. The correct option is (d) 20.24.

Given that X N(300, 15), find the Interquartile Range (IQR).

The given distribution is normal with mean μ = 300 and standard deviation σ = 15.

We need to calculate the interquartile range (IQR).IQR is defined as the difference between the third quartile (Q3) and the first quartile (Q1).

The first quartile (Q1) is the value below which 25% of the data fall and the third quartile (Q3) is the value below which 75% of the data fall.

We can find these values using the standard normal distribution table.

For the first quartile,

z1 = invNorm(0.25)

= -0.67449

Q1 = μ + σ × z1

= 300 + 15 × (-0.67449)

= 289.88

≈ 289.89

For the third quartile,

z3 = invNorm(0.75)

= 0.67449

Q3 = μ + σ × z3

= 300 + 15 × 0.67449

= 310.12

Therefore, the interquartile range (IQR)

= Q3 – Q1

= 310.12 – 289.89

= 20.23

≈ 20.24

Hence, the correct option is (d) 20.24.

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After the conversion of $500 in japanese yen Ben will have 61,650 yen.

According to the question.

The amount of money in US dollars Ben wishes to convert in Japanese yen is $500.

Also, it is given that

$1 = 123.3yen

Therefore,

The number of yen Ben have after the conversion of dollars in yen

= 500 × 123.3

= 61,650

Hence, after the conversion of $500 in japanese yen Ben will have 61,650 yen.

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Answer:

a) 10 per for 4 min means 150 per hour. so more hamburgers are sold per hour.

b) see attachment

True, if Στ = 0 in a single-factor experiment, then all treatment means must be equal.

In single-factor experiments, if the sum of the treatment effects (Στ) is equal to zero (Στ = 0) for all levels (i=1 to n), then it implies that all treatment means (Ti) must be equal.

In a single-factor experiment, a single independent variable (factor) is manipulated, and its effect on the dependent variable is studied across different levels or treatments.

The treatment effects (τ) represent the differences in the mean response between each treatment level and the overall mean of the dependent variable.

If the sum of these treatment effects (Στ) is equal to zero (Στ = 0), it means that the positive and negative differences cancel each other out, resulting in a net effect of zero.

If Στ = 0, it implies that the total treatment effect across all levels is balanced, indicating that there are no systematic differences between the treatment means.

Consequently, if all treatment effects cancel out and Στ = 0, it implies that the means of all treatment levels (Ti) must be equal since any deviations from the overall mean are offset by equal and opposite deviations in other treatment levels.

Therefore, if Στ = 0 in a single-factor experiment, it indicates that all treatment means must be equal.

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Answer:

A.  <T=17, RS= 10

Step-by-step explanation:

These triangles are congruent by AAS congruency. This means that RS and UV will have the same measure and so will <Q and <T. Simply use that info with the measurements given.

Solving for <T:

8y-44 = 5y+7

3y = 51

y = 17

Solving for RS:

7x-2 = 5x+18

2x = 20

x = 10

The sequence ⟨x_n⟩ = (1 - 1/n) converges to 1 and all terms of the sequence are in S.

(a) To show that 1 is an accumulation point of S, we need to prove that for any ε > 0, there exists a point x ∈ S such that 0 < |x - 1| < ε.

Let's consider the open interval (1 - ε, 1 + ε). Since Q is the set of rational numbers, there will always be a rational number between any two distinct rational numbers. Therefore, we can always find a rational number x such that 0 < |x - 1| < ε.

Since x < 1, x belongs to S. Hence, we have shown that for any ε > 0, there exists a point x ∈ S such that 0 < |x - 1| < ε. Therefore, 1 is an accumulation point of S.

(b) To define a sequence ⟨x_n⟩ of points in S that converges to 1, we can choose a sequence of rational numbers x_n such that x_n < 1 for all n, and x_n converges to 1 as n approaches infinity.

For example, we can choose x_n = 1 - 1/n. As n approaches infinity, x_n approaches 1 from the left. Since x_n < 1 for all n, x_n belongs to S.

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Answer:

10.91 feet to the nearest hundredth..

Step-by-step explanation:

Using the Pythagoras theorem

d^2 = 12^2 - 5^2

d^2 = 119

d = √119 = 10.91 ft.

Answer:

1. z=140

2. z=130

3. z=145

4. z=180

5. z=155

6. z=120

Step-by-step explanation:

1. z+40=180 so you should subtract 40 from both sides of the equation to get 180-40=140, meaning that z=140

2. 50+z=180 so you should subtract 50 from both sides of the equation to get 180-50=130, meaning that z=130

3. subtract 35 from both sides of the equation to get 180-35=145, meaning that z=145

4. You can just solve this equation as 90+90=180, meaning that z=180

5. subtract 25 from both sides of the equation to get 180-25=155, meaning that z=155

6. subtract 60 from both sides of the equation to get 180-60=120, meaning that z=120

Answer:

3/8 for the second question

Step-by-step explanation:

number of shaded portion on total number