cherries cost $4/lb. Grapes cost $2.50/lb. You can spend no more than $15 on fruit, and you need at least 4lb in all, What is a graph showing the amount of each fruit you can buy?

Answer:

30 in²

Step-by-step explanation:

A=(b1+b2)h/2

A=(10+5)4/2

A=(15)4/2

A=60/2

A=30 in²

Answer:

Hello! I believe its 30

Triangle to the left I did 4 x 3 = 12 ÷ 2 =6

Triangle to the right I did 2 x 4 = 8 ÷ 2 = 4

Then I did square in the middle so 5 x 4 = 20

Now i add these up 20 + 6 + 4 = 30

Hope this helps!

The probability of outcome to be a 5 is 1/13. The probability of outcome not be 5 is 12/13. The probability of outcome to be a diamond or a king is 4/13. The probability of the outcomes to be a jack or a queen is 2/13. The probability of The outcome to be a heart and a club is 0 and the probability of the outcomes to be a card greater than 6 and less than 9 is  2/13.

A deck contains a total of 52 cards.

Total outcomes if the selected number of cards is one=52

Case A:

Each suit contain one 5 numbered card. There are four suits. Therefore, The required outcome would be 4.

Probability of an outcome is the ratio of desired outcomes to the total outcomes.

The probability of outcome to be 5, P(A):
P(A)=4/52

P(A)=1/13

Case B:

The total probability of outcomes=52/52=1

The probability of the outcome to be 5=1/13

Therefore, the probability of the outcome not to be 5, P(B):

P(B)=1-(1/13)

P(B)=12/13

Case C:

Each suit carries a king. Therefore, the probability of the outcome to be a king, P(M):

P(M)=4/52

P(M)=1/13

A suit carries 13 cards. Therefore, there will be 13 cards of diamonds.

The probability of the outcome to be a diamond, P(N):

P(N)=13/52

P(N)=1/4

The probability that the outcome is a king of diamonds, P(M\(\cap\)N):

P(M\(\cap\)N)=1/52

Hence, the probability that the outcome is a diamond or a king, P(M\(\cup\)N):

P(M\(\cup\)N)=P(M)+P(N)-P(M\(\cap\)N)

P(M\(\cup\)N)=(1/13)+(1/4)-(1/52)

P(M\(\cup\)N)=16/52

P(M\(\cup\)N)=4/13

Case D:

Each suit carries a Jack. Therefore, the probability of the outcome to be a jack, P(P):

P(P)=4/52

P(P)=1/13

Each suit carries a Queen. Therefore, the probability of the outcome to be a Queen, P(Q):

P(Q)=4/52

P(Q)=1/13

The probability that the outcome is a jack and a queen, P(P\(\cap\)Q):

P(P\(\cap\)Q)=0/52

P(P\(\cap\)Q)=0

Hence, the probability that the outcome is a jack or a queen, P(P\(\cup\)Q):

P(P\(\cup\)Q)=P(P)+P(Q)-P(P\(\cap\)Q)

P(P\(\cup\)Q)=(1/13)+(1/13)-0

P(P\(\cup\)Q)=2/13

Case E:

A card is never a heart and a club. Therefore, the probability of a card to be a heart and a club is 0.

Case F:

The numbers greater than 6 and less than 9 are the numbers between 6 and 9. The numbers between 6 and 9 are 7 and 8.

Each suit carries one 7 numbered card and one 8 numbered card. There is a total of 4 suits.

Therefore the desirable outcomes=8

The probability of the outcome required=8/52

=2/13

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If H is the circumcenter of triangle EFG , EH = 5.06 , and LH = 2.74 then FL is calculated to be 4.25

Applying Pythagoras theorem, △EFG

Information given from the question is interpreted as

LH = opposite

FL = adjacent

FH = EH = hypotenuse

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

5.06² = 2.74² + x²

x² = 25.6036 - 7.5076

x² =  18.096

x = √18.096

x = 4.2539

x = 4.25 (to the nearest hundredth)

hence x = FL = 4.25

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To find \((f+g)(x)\), we need to add the functions \(f(x)\) and \(g(x)\) together. Let's start by writing down the given functions:

The sum of the functions \(f(x) = 4x^2 + 3x - 2\) and \(g(x) = 6x^3 - 3x^2 - 4\) is \((f+g)(x) = 6x^3 + x^2 + 3x - 6\). This resulting function is a cubic polynomial with coefficients that reflect the combined terms of the original functions.

\(f(x) = 4x^2 + 3x - 2\)

\(g(x) = 6x^3 - 3x^2 - 4\)

Now, let's add them together:

\((f+g)(x) = f(x) + g(x)\)

\(= (4x^2 + 3x - 2) + (6x^3 - 3x^2 - 4)\)

To simplify the expression, we combine like terms:

\((f+g)(x) = 6x^3 + 4x^2 - 3x^2 + 3x - 2 - 4\)

\(= 6x^3 + (4x^2 - 3x^2) + 3x + (-2 - 4)\)

\(= 6x^3 + x^2 + 3x - 6\)

So, the sum of the functions \(f(x) = 4x^2 + 3x - 2\) and \(g(x) = 6x^3 - 3x^2 - 4\) is \((f+g)(x) = 6x^3 + x^2 + 3x - 6\).

In other words, the resulting function (f+g)(x) is a cubic polynomial with the highest degree term of \(6x^3.\) The other terms in the polynomial are \(x^2\), 3x, and a constant term of -6.

It's important to note that this sum is valid for all values of x within the domain of the original functions f(x) and g(x), unless otherwise specified. Therefore, \((f+g)(x) = 6x^3 + x^2 + 3x - 6\) is the expression representing the sum of the functions f(x) and g(x).

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Answer:

IIIlas' car 74.107  L

Hanis car 72.173 L

Step-by-step explanation:

Answer:

14x+32

Step-by-step explanation:

first, collect like terms

that is 4x+10x+45-13

14x+32

Answer:

11

Step-by-step explanation:

140-129=11

Answer:

140 - 129

Step-by-step explanation:

If Alyanna has more cookies than Alyssa, and we want to find how much more, we need to subtract Alyssa's amount from Alyanna's amount

Therefore, Alyanna has 11 more cookies than Alyssa.

Answer:

5 seconds ma boii

Step-by-step explanation:

i just took tha test

Answer:

1) h(t) = -5t(t - 8)

t - 8 = 0, so

2) t = 8 seconds

Step-by-step explanation:

Answer:

The population would be 1 million in 2024.

Step-by-step explanation:

In order to find the answer you can use the population growth formula:

A= P*e^rt

A=Population after time=1,000,000

P= Starting population=705,000

e= Euler number that is equal to 2.718

r= rate of growth=0.0151

t= time

Now, you can replace the values on the formula and solve for t:

1,000,000 = 705,000*e^0.0151t

1,000,000/705,000 = e^0.0151t

ln(1,000/705) = ln(e^0.0151t)

ln(1000/705) = 0.0151t

t = [ln(1000/705)]/0.0151

t = 23.14 years

According to this, the answer is that the population would be 1 million in 2024.

Answer:

$116

Step-by-step explanation:

The Simple Interest formula is i = prt.  Here,

i = ($1,450)(0.04)(2 yr) = $116

The angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)

We know that the rectangle has sides of length 4 ft and 5.5 ft, so we can use the Pythagorean Theorem to find the length of the diagonal \($BD$\):

\($$ BD^2 = 4^2 + 5.5^2 $$\)

\($$ BD^2 = 16 + 30.25 $$\)

\($$ BD^2 = 46.25 $$\)

\($$ BD = \sqrt{46.25} $$\)

\($$ BD = 6.8 \text{ ft (rounded to one decimal place)} $$\)

Now, we can use the Law of Cosines to find the angle between sides \($AB$\)and \($AD$\) in triangle \($ABD$\):

\($$ \cos(A) = \frac{BD^2 + AB^2 - AD^2}{2 \cdot BD \cdot AB} $$\)

\($$ \cos(A) = \frac{6.8^2 + 4^2 - 5.5^2}{2 \cdot 6.8 \cdot 4} $$\)

\($$ \cos(A) = 0.5471 $$\)

\($$ A = \cos^{-1}(0.5471) $$\)

\($$ A = 56.1^\circ \text{ (rounded to one decimal place)} $$\)

Similarly, we can use the Law of Cosines to find the angle between sides \($BC$\) and \($CD$\) in triangle:

\($$ \cos(B) = \frac{BD^2 + BC^2 - CD^2}{2 \cdot BD \cdot BC} $$\)

\($$ \cos(B) = \frac{6.8^2 + 5.5^2 - 4^2}{2 \cdot 6.8 \cdot 5.5} $$\)

\($$ \cos(B) = 0.7416 $$\)

\($$ B = \cos^{-1}(0.7416) $$\)

\($$ B = 42.5^\circ \text{ (rounded to one decimal place)} $$\)

Therefore, the angles between the edges of the resulting pieces are approximately \($56.1^\circ$ and $42.5^\circ$.\)

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The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.

Firstly, refer to the image attached for the complete question.

Now,

Given: The value of the digit in the hundreds place in 653,841 is: 800

Now, the following cases arise for the given options:

Value of digit in the thousands place = 8000

=> 1/10 the value of the digit =  \(\frac{1}{10}(8000) = 800\)

Value of digit in the thousands place = 9000

=> 1/10 the value of the digit = \(\frac{1}{10}(9000) = 900\)

Value of digit in the thousands place = 4000

=> 1/10 the value of the digit = \(\frac{1}{10}(4000) = 400\)

Value of digit in the thousands place = 7000

=> 1/10 the value of the digit = \(\frac{1}{10}(7000) = 700\)

Out of all the options, as shown above, only Option A satisfies the given condition.

Hence, the correct Option is A, i.e., The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.

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The missing points are listed below:

The picture attached aside shows us a right-angled parallelepiped and the Euclidean geometry indicates that a plane is generated by three non-colinear points, that is, three points that cannot be contained by a line.

Therefore, coplanar points are points that can be contained by one and same plane. Parallelepipeds are solids with eight vertices and twelve sides, each of them corresponding to a plane.

In this problem we must determine what fourth point is contained by the same plane that comprises the other three. Now we show the corresponding answers:

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Step-by-step explanation:

A higher confidence interval means less power which in turns means a smaller rejection religion.So our confidence interval would become wider.

Answer:

20

Step-by-step explanation:

- Combine multiplied terms into a single fraction

- Eliminate redundant parentheses

- Multiply all terms by the same value to eliminate fraction denominators

The headline C is the most acceptable since Lack of Health Insurance Increases Death Risk Lack of Health Insurance May Contribute to 45,000 U.S. Deaths Each Year (WebMD), It effectively conveys both the societal norm and the probability-based scientific method of reporting findings.

As per the details provided in the question are as bellow,

The report helped us realize that two factors—a lack of insurance and a greater rate of mortality among the population—are associated in this situation.

It went on to state the likelihood that there might be a correlation between these two.

The headline will alert the researcher to a study error, as well as allay public fears and encourage people to read the paper so they can learn more about the research.

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Note: The correct question would be as bellow,

A recent National Health and Nutrition Examination Survey (NHANES) study compared death rates for people with health insurance and people without health insurance. This study included anyone who completed the survey between 1986 and 1994. The study tracked these people through 2000. The study attempted to control for factors such as education, income, smoking, drinking, and obesity. The American Journal of Public Health published an article about this NHANES study. The following headlines appeared in the news based on this article. Which headline is an appropriate summary of this study? a. Lack of insurance to blame for almost 45,000 deaths (ABC News)

b. 45,000 American deaths associated with lack of insurance (CNN)

c. No Health Insurance, Higher Death Risk: 45,000 U.S. Deaths Per Year May Be Linked to Lack of Health Insurance (WebMD)

Leo's water is at a greater temperature. And Manoj's water is closer to freezing.

The temperature refers to the degree of hotness ant coldness of the substance.

Water freezes at 0 °C.

Manoj's water is 3 °C.

Leo's water is 7 °C.

Leo's water is at a greater temperature.

Manoj's water is closer to freezing.

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Answer:

Step-by-step explanation:

SOLVING

================================================================

6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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A. A sample size of 62 should be taken for a 95% level of confidence.

B. The sample size of 107 should be taken for a 99% level of confidence.

a. To estimate the sample size needed to estimate the mean time a staff member spends with each patient, we can use the formula for sample size calculation:

n = (Z^2 * σ^2) / E^2

Where:

n = required sample size

Z = Z-score corresponding to the desired level of confidence

σ = population standard deviation

E = desired margin of error

For a 95% level of confidence:

Z = 1.96 (corresponding to a 95% confidence level)

E = 2 minutes

σ = 8 minutes (population standard deviation)

Substituting these values into the formula:

n = (1.96^2 * 8^2) / 2^2

n = (3.8416 * 64) / 4

n = 245.9904 / 4

n ≈ 61.4976

Since we can't have a fraction of a sample, we round up the sample size to the nearest whole number. Therefore, a sample size of 62 should be taken for a 95% level of confidence.

b. For a 99% level of confidence:

Z = 2.58 (corresponding to a 99% confidence level)

E = 2 minutes

σ = 8 minutes (population standard deviation)

Substituting these values into the formula:

n = (2.58^2 * 8^2) / 2^2

n = (6.6564 * 64) / 4

n = 426.0096 / 4

n ≈ 106.5024

Rounding up the sample size to the nearest whole number, a sample size of 107 should be taken for a 99% level of confidence.

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H represents the longest human life span.

122 represents a humans life span AT MOST.

h > 122

This can be represented by the compound inequality 0 ≤ x ≤ 122

Inequality shows the non equal comparison of numbers or expressions.

Let x represent the ages of all humans in years.

Since the age must be greater than 0, hence:

x ≥ 0

Also, The world's longest human life span of 122 years, hence:

x ≤ 122

x ≥ 0 and x ≤ 122

This can be represented by the compound inequality 0 ≤ x ≤ 122

The graph of the inequality is attached.

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Answer: 24

Step-by-step explanation:

32/16=2 so it cost 2 per guest.

48/2= 24 guests

Answer:

to be honest I dont even know the answer

a) The triangles are not similar, as they have different angle measures.

b) The triangles are similar by the SAS theorem.

c) The triangles are similar by the SSS theorem.

Similar triangles are triangle that share these following two features:

For item a, we have that the angle measures are given as follows:

Different angle measures, hence not similar.

For item b, we have that the side lengths are proportional, as:

13.2/6 = 15.4/7

As the angle between these two sides has the same measure of 90º, the SAS theorem proves that these two triangles are congruent.

For item c, the side lengths are proportional, as:

Hence the triangles are similar by the SSS theorem.

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To justify the statement ln(17) = 2.833 mathematically, we can use the definition of the natural logarithm function.

The natural logarithm of a number x, denoted as ln(x), is defined as the exponent to which the base e (approximately 2.71828) must be raised to obtain the number x.

In this case, we have ln(17) = 2.833. To justify this statement mathematically, we can rewrite it using the definition of the natural logarithm:

e^(2.833) = 17

Here, e represents the base of the natural logarithm function, which is approximately 2.71828. By raising e to the power of 2.833, we should obtain the value of 17.

So, the mathematical equation to justify the statement ln(17) = 2.833 is e^(2.833) = 17.

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Answer:

From home it looks like it took her 2  hours and 30 minutes

Step-by-step explanation:

If you look when she started, 10 A.M, and look when she first arrived at the campground, 12:30 P.M, you can see it took her 2 and a half hours.

The flat fee that the stοre charge $14 and the cοst fοr 7 hοurs is $56. we sοlve this questiοn using linear equatiοn.

An equatiοn is said tο be linear if the maximum pοwer οf the variable is cοnsistently 1. A linear equatiοn with οne variable has the cοnventiοnal fοrm Ax + B = 0. In this case, the variables x and A are variables, while B is a cοnstant.

let f be the tοtal rental cοst οf a vacuum cleaner fοr x hοurs

And, f(x) = 6x + 14 (Given)

Sο The flat fee that the stοre charge $14.

Reasοnable dοmain is 1  ≤  x  ≤  12

The cοst fοr 7 hοurs is,

f(7) = 6(7) + 14 = 56.

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Answer:

A. a net

Step-by-step explanation:

I did the test

Answer:

72 Trail Mix

Step-by-step explanation:

It'll be 72 nuts mix the trail.

The expression of the composite function is (d) 192 - 24t

From the question, we have the following parameters that can be used in our computation:

B(t) = 2(8 - t)

M(n) = 12n

To calculate the required function, we make use of

M(B(t))

Substitute the known values in the above equation, so, we have the following representation

M(t) = 12 * 2(8 - t)

So, we have

B(t) = 192 - 24t

Hence, the expression is (d) 192 - 24t

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Answer:

Options (1) and (4)

Step-by-step explanation:

Graph attached represents the proportional relationship between the number of cans (x) and the total number of tennis balls (y).

Any point (x, y) on the line graphed will represent the number of balls (y) in (x) cans.

Point (2, 6) will represent,

1). 2 cans contains 6 balls.

2). There are 6 tennis balls in 2 cans.

Therefore, Options (1) and (4) are the correct options.

Graphs of proportional relationships pass through the origin.

The true statements are:

The point is given as: (2,6)

This mean that: x = 2, when y = 6

The interpretation of this is that:

The above highlights represent options (a) and (d)

Hence, the true statements are (a) and (d)

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