Use the substitution method to solve the linear system.
4×- 7y = 20
X- 3y = 10

Answer:

Step-by-step explanation:

Equivalent fractions are two or more fractions that are all equal. A fraction is a part of a whole: the denominator (bottom number) represents how many equal parts the whole is split into; the numerator (top number) represents the amount of those parts.

Answer:

An equivalent fraction is a fraction that is the same as another fraction with a different denominator.

For example 1/2 and 3/6 are equivlant fractions.

To simplify a complex fraction expression, first identify the numerator and denominator of each fraction.

A complex fraction is a fraction that contains one or more fractions in the numerator, denominator, or both. This type of fraction requires additional steps to simplify and can often be reduced to a simpler fraction or a whole number. Complex fractions are also known as compound fractions or nested fractions.

Then, factor each fraction into its simplest form by dividing each numerator and denominator by their greatest common factor. Finally, combine the fractions by multiplying the numerators and denominators. This will result in a simplified expression.

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Null hypothesis : \(H_{0} : p=0.25\)

Alternative hypothesis : \(H_{a};p\neq 0.25\)

Given : A genetic experiment with peas resulted in one sample of offspring that consisted of 429 green peas and 159 yellow peas.

i.e. p=159/429=0.3706

For 95% level of confidence interval , significance level :

Critical value of z =\(Z_{a/2}\)=1.96

Confidence interval for population proportion :

p±\(Z_{a/2}\)\(\sqrt{\frac{p(1-p)}{n} }\)

=0.37±(1.96)\(\sqrt{0.37(1-0.37)/429\)

=0.37±0.045687

=0.37±0.05

(0.32, 0.12)

Since 0.25 is not contained in the confidence interval , it means is not reasonable that the true proportion is 0.25 (25%).

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Answer:

x=3 is one solution

3=3 has infinitely solutions

6=3 has one solutions.

Step-by-step explanation:

I got it correctt on Edg.

Answer: x = 3 one solution

3=3 infinitely many solutions

6=3 no solution

Answer:

(x^2+10)^2

Step-by-step explanation:

Answer:

hey! you could always use m athway or p hotomath for this (:

The length is the unknown side increases while keeping the known side lengths fixed, the measurement of angle Z will increase. So, the triangle will not fit the given conditions anymore.

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

Given,  two sides and the angle opposite one of the sides. Under Sides, enter 9 for a and 6 for b. Under Angles, enter 30 for B.

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Complete question:

Depending on a given set of conditions and the properties of triangles, any of these four outcomes is possible when constructing triangles:

No triangles fit the condition.

One unique triangle fits the condition.

Two triangles fit the condition.

Infinitely many triangles fit the condition.

Complete the steps below to find the number of triangles that can be constructed based on the following conditions: one side measures 7 centimeters, another side measures 9 centimeters, and the angle between them measures 74°.

Part A

What does the dotted line in the diagram represent?

Part B

Now think about changing the triangle. What happens to angle Z if the unknown side length increases while keeping the known side lengths (XZ and ZY) the same? Will the triangle still fit the given conditions?

Part C

What happens to angle Z if the unknown side length decreases while keeping the known side lengths (XZ and YZ) the same? Will the triangle still fit the given conditions?

Part D

Based on your conclusions in parts B and C, can the length of the unknown side be changed in any way without changing the given conditions for the triangle?

Part E

You know the given conditions for the triangle are fixed. You also know the unknown side length is fixed. What does this tell you about the two angles adjacent to the unknown side?

Part F

From your conclusions in part E, how many triangles can be constructed based on the given conditions?

art G

Let c be the unknown side of the triangle. Use this triangle calculator to solve for c. Under Sides, enter 7 for side a and 9 for side b. Under Angles, enter 74 for angle C. Click Calculate once you have entered the information. What is the length of side c?

Part H

Now try to construct a triangle using a different set of measurements. This time, you’ll enter three angle measurements. Return to the Calculator tab, and click the Clear button to begin a new calculation.

Under Angles, enter 45 for A, 40 for B, and 95 for C. Then click Calculate. What happened? What message did the tool deliver? Explain the message in terms of the properties of a triangle and the given angles.

Part I

Click Clear in the tool to begin a new calculation. This time, you’ll check for valid triangles given two sides and the angle opposite one of the sides.

Under Sides, enter 9 for a and 6 for b. Under Angles, enter 30 for B. Then click Calculate. What happened? What message did the tool deliver? Click “Show other solution” in the tool and explain the message in terms of the angle measurements and the given information.

Answer:

-0.4

Step-by-step explanation:

to solve use the formula m=y2-y1/x2-x1

The probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 46.4%. Hence, the answer is 46.4%.

Given the poll showed that 53.6% of Americans say they believe that some psychics can help solve murder cases.

We are to find the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases.

Let us consider the following events:

Let A be the event that someone believes that some psychics can help solve murder cases and B be the event that someone does not believe that some psychics can help solve murder cases.

Then A and B are complementary events, that is A∩B=∅ (i.e., the events cannot happen at the same time) and A∪B = S (the event space).

Thus we can write P(A) = 53.6% and P(B) = 100% - 53.6% = 46.4%.

Therefore, the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 46.4%. Hence, the answer is 46.4%.

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It is important for scientists to use all of their results because selective reporting can lead to biased or incomplete conclusions. Including all results helps ensure objectivity and transparency in scientific findings.

When the evidence neither supports nor contradicts the hypothesis, it is crucial for scientists to acknowledge and report this outcome. It indicates the need for further investigation and can contribute to the accumulation of knowledge. Scientists should explore alternative explanations, refine their hypotheses, or modify their experimental approaches to gain a deeper understanding of the phenomenon.

Scientists repeating each other's experiments serves as a vital aspect of the scientific process called replication. Replication helps validate or challenge previous findings, ensures the reliability of results, and identifies any potential errors or biases. It enhances the overall credibility and robustness of scientific knowledge by promoting consensus and reducing the likelihood of false or misleading conclusions.

Regarding whether there is any scientific knowledge that it would be better not to have, it is a complex question. Generally, scientific knowledge empowers humanity by expanding our understanding of the world and driving progress. However, ethical considerations may arise in certain areas, such as knowledge that could be weaponized or have harmful consequences if misused. Responsible dissemination and application of scientific knowledge, along with ethical frameworks, help ensure the benefits outweigh the potential risks.

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There are 4,826,640 possible ways to award first, second, and third prizes in a contest with 170 contestants.

To calculate this, use the formula nP3, where n is the number of contestants (170) and P3 represents the permutation of 3 elements. This can be simplified to P(170, 3) = 170! / (170 - 3)! = 170 x 169 x 168 = 4,826,640.

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Answer:

c = 0.85 ; $1.7 ; c = 0.79p

Step-by-step explanation:

Given :

Cost per pound of supply shipped = $0.85

Total cost, c to ship p pounds of horse supply

Total cost = cost per pound * pound of supply

c = 0.85 * p

c = 0.85p

Cost of shipping 2 pounds :

c = 0.85 * 2

c = $1. 7

B.)

Reduction in shipping cost :

Reduced cost = $0.85 - $0.06 = $0.79

Total cost = cost per pound * pound of supply

c = 0.79 * p

c = 0.79p

Answer:

D) 10

Step-by-step explanation:

Factors of 48: 1,2,3,4,6,8,12,16,24,48....all of these numbers can be subbed in for X to arrive at a whole number....so there are 10 different ways.

Hope this helps :)

Answer:

The new coordinates are (-11, -35)

Step-by-step explanation:

When reflecting across the x-axis, you are just the Y. value. It is the opposite due to the fact that if you're moving something across the horizontal x-axis, it's actually the vertical height changing. So, you just inverse the Y value to its' negative or positive reciprocal.

Answer: 5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.

Step-by-step explanation:

Given: Large cheese pizzas cost $5 each and large pepperoni pizzas cost $6 each.

The expression 5c+6p models the total cost of large cheese pizzas.

here c represents Number of large cheese pizzas and p represents number of  large pepperoni pizzas such that

5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.

[Total cost = Cost of each item x Number of items ]

Answer:

Because e is used so commonly in math and economics, and people in these fields often need to take the logarithm with a base of e of a number to solve an equation or find a value, the natural log was created as a shortcut way to write and calculate log base e. ... So ln(x) = loge(x). As an example, ln(5) = loge(5) = 1.609.

Step-by-step explanation:

The triangle LMO and LNO are, if LM ≅ ON, ∠ M ≅ ∠ N concurrent by SAS congruence.

Three interconnected vertices make up one of the basic geometric shapes denoted by the symbol Δ.

Given:

LM ≅ ON

∠ M ≅ ∠ N

As you can see, the side LO is common in both the triangle,

So In the concurrency SAS, the two sides of a triangle are two to be equal, and an angle is to be equal.

Therefore, the triangle LMO and LNO are, if LM ≅ ON, ∠ M ≅ ∠ N concurrent by SAS congruence.

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Answer:

1) B

Step-by-step explanation:

1)

The formula for the volume of a prism is h * l * w

So, if we do that we get 25/18

2) B

Lets say we talk the top surface, there are 30 cubes on that surface and we want to find the volume of one cube so we are going to divide by 50. we take the measurements which are 5/6 and 1 for the top surface and we multiply. We get an answer of 5/6 now we divide by 30

So...

5/6 * 1/30 (We switched the numbers around because we are dividing.)

5/6 * 1/30 = 5/180 now we can simplify this to 1/36.

5 and 180 are a factor of 5

Hope this helps

The missing code that can replace to assign the total of all values in purchase List to sum, is: REPEAT UNTIL (n > purchaseList.length)

The syntax for a REPEAT UNTIL loop in most programming languages is as follows:

REPEAT {

// code to be executed

} UNTIL (condition)

or

DO {

// code to be executed

} UNTIL (condition)

Looping is a programming construct that allows a certain block of code to be executed repeatedly. The two main types of loops are for loops and while loops.

A for loop is used to execute a block of code a specified number of times. It typically starts with a variable initialization, then a condition is checked, and if the condition is true, the code block inside the loop is executed, and then the variable is updated.

The missing code that can replace the empty parentheses in the REPEAT UNTIL statement to assign the total of all values in purchase List to sum, is:

REPEAT UNTIL (n > purchaseList.length)

This means that the loop will continue to execute until the value of n is greater than the length of the purchaseList. In each iteration, the value of purchaseList[n] is added to the sum, and then n is incremented by 1. So, this loop will iterate through all the elements in the purchaseList, adding each one to the sum, until it reaches the end of the list. This will give the total sum of all purchases made in the last month.

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In the given study comparing the effects of regular-fat cheese to reduced-fat cheese on LDL cholesterol levels, the dependent variable(s) refers to the outcome(s) that are being measured or observed. In this case, the dependent variable in this study is: b. LDL levels

The dependent variable is the variable that is measured or observed to assess the effect of the independent variable(s). In this case, the study is comparing the effects of regular-fat cheese and reduced-fat cheese on LDL cholesterol levels.

LDL cholesterol levels are the outcome being measured to determine the impact of the different types of cheese on cholesterol. Therefore, option b, LDL levels, is the dependent variable in this study. Options a (regular fat cheese) and c (reduced fat cheese) are not the dependent variables but rather the independent variables, as they are the different conditions being compared to assess their effect on LDL levels.

Option d (both a and b) and option e (both b and c) are incorrect because regular-fat cheese (option a) is an independent variable, not a dependent variable.

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A parabola is a U-shaped curve that is symmetrical about a specific axis. It is a conic section defined by a quadratic equation and has applications in various fields, including mathematics, physics, and engineering.

To find the coefficient b, we need to use the given points to form a system of equations. Substituting (0,3), (1,4), and (2,3) into the equation y=ax²+bx+c, we get:

3=c
4=a+b+c
3=4a+2b+c

Substituting c=3 into the second equation, we get:

4=a+b+3

Substituting c=3 into the third equation, we get:

3=4a+2b+3

Simplifying the third equation, we get:

1=2a+b

Now we have two equations:

4=a+b+3
1=2a+b

Solving for b, we get:

b=1-2a

Substituting b=1-2a into the first equation, we get:

4=a+(1-2a)+3

Solving for a, we get:

a=0

Substituting a=0 into b=1-2a, we get:

b=1

Therefore, the coefficient b is 1.

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Because the critical region is all on one side in a one-tailed test and needs to be split between the two tails in a two-tailed test.

In a one-tailed test, the alternative hypothesis is directional and the critical region is all on one side of the distribution. In a two-tailed test, the alternative hypothesis is non-directional and the critical region is split between the two tails of the distribution.

It is easier to reject the null hypothesis with a one-tailed test because the critical region is all on one side of the distribution, making it more likely to observe a significant difference and reject the null hypothesis. In contrast, the critical region is split between the two tails in a two-tailed test, making it less likely to observe a significant difference and reject the null hypothesis.

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Answer:

41 1/5

Step-by-step explanation:

2 3/5 x 7 = 18 1/5

5 3/4 x 4 = 23

18 1/5 + 23 = 41 1/5

Answer:

u can calculate yourself

Answer:

30

Step-by-step explanation:

This is the answer hope it helped

Answer:

independent

Step-by-step explanation:

A system of linear equations with exactly one solution is a _independent   system.

Answer:

A / Area = 28.36

Same for 2 and 3 Area = π \(r^{2}\)

Step-by-step explanation:

Radius:

The radius we know is:

r = 3

Area:

Area = π\(r^{2}\)

Also, Area = 3.14 × \(3^{2}\)

Area will equal, 28.36

In this formula we will be used to calculate the required areas of the circle:

Area = π\(r^{2}\)

Thus the answer is:

A / Area = 28.36

Same for 2 and 3 Area = π \(r^{2}\)

Answer:

53721.23

Step-by-step explanation:

V=πr^2h

v = 3.14(30)^2(19)

v = 53721.23

Answer:

a cylinder can hold a liquid of  53,721 cm³

Step-by-step explanation:

volume  of a cylinder = π r² h

vol = π * (60/2)² * 19

vol = 53,721 cm³

Consider the given equation,

Transpose the terms,

Consider that the cosine function is negative in the 2nd and 3rd quadrant.

So one value of 'x' will lie in each quadrant.

Consider that 'x' lies in the 2nd quadrant,

Consider that 'x' lies in the 3rd quadrant,

Thus, the two solutions of the equation are obtained.

Two consecutive whole numbers representing the estimated square root of 50 are 7 and 8.

Number need to estimate square root  = 50

To estimate √50,

Neal found that the two perfect squares nearest 50 are 49 and 64.

Since 50 is closer to 49 than to 64,

Square root of 49 is equal to 7

Square root of 64 is equal to 8.

We know that √50 is closer to the square root of 49 which is 7.

Estimated two consecutive whole numbers are 7 and 8.

Therefore, estimated √50 is between the two consecutive whole numbers 7 and 8.

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The above question is incomplete, the complete question is:

Neal estimated √50 by determining that the two perfect squares nearest 50 are 49 and 64. Select the two consecutive whole numbers that the √50 is between to complete the sentence.