Marcus saved money to buy camping equipment.
He used of 5/8 his savings to buy a tent.
He used 1/4 of his savings to buy a sleeping bag.

How much of his savings does Marcus have left?

If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.

Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².

So, we have:

lw = 114

Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.

So, we have:

2l + 2w = 50

We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:

l = 114/w

We can then substitute this expression for l in the second equation:

2(114/w) + 2w = 50

Multiplying both sides by w to eliminate the fraction, we get:

228 + 2w² = 50w

Rearranging and simplifying, we get a quadratic equation:

2w² - 50w + 228 = 0

We can solve for w using the quadratic formula:

w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5

Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:

l(5) = 114

l ≈ 22.8

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Answer:

Point estimate = 0.25

Step-by-step explanation:

Complete question

Calculate the point estimate

Solution

Let A represents the number of adult males who smoke cigarettes

Calculation of 95% confidence interval for proportion of adult males who smoke cigarettes

\(p-z_\alpha \frac{p(1-p)}{n}\) , \(p+z_\alpha \frac{p(1-p)}{n}\)

\(p-z_\alpha \frac{p(1-p)}{n} = 0.22\\p+z_\alpha \frac{p(1-p)}{n} = 0.28\)

Point estimate

Adding the above given equations we get -

2 * p = 0.50

p = 0.25

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Answer:

the answer is nine ,but I don't know it to the nearest hundredth

Answer:

2.49476 kilograms

Step-by-step explanation:

Answer:

see the picture there is the answer

Answer:

15 men * 12 days = 180 man-days

180 man-days / 9 men = 20 days

From a project management stand point man-days doesn’t really equate to much so while you can evaluate schedule, you would typically desire to see more information than this.

Step-by-step explanation:

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

The shaded portion of a strip shows the amount of oil used in a recipe. It is required to find the percent of oil left after the recipe.

Notice that 4 out of 5 of the strip is shaded. This means that 1 out of 5 is left.

Hence, the fraction of oil left is:

Convert the fraction to a percentage by multiplying by 100%:

The percentage of oil left is 20%

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Answer:

Step-by-step explanation:

c=(3x5)=(2x-4)

c=15+-8

c=7

PLS MARK AS BRAINLIEST!

Answer:

-1

Step-by-step explanation:

3 times a which a is 5 it becomes 15 and

2 times b which b is -4 it becomes -16

so 3*5 + 2*(-4)=

15+(-16) and cause plus and minus gives you minus so

15-16= -1

Step-by-step explanation:

similar triangles will have congruent angles.

so statement 1,2 are true to AAA theorem

angle A is common angle, statement 3 is true

statement 4 : congruent

last one ans;: corresponding angle procedure

Answer:

-3.2 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

-3.2

Step-by-step explanation:

−13.6 + 5.4 + 5

First, add the positive (+) values.

= -13.6 + 10.4

Now, subtract and keep the sign negative as 13.6 is greater than 10.4

= -3.2

So on solving the provided question we can say that here, in triangle ABC and XYZ;  by SSS property they are similar.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

AB = XY

AC = XZ

BC = ZY

by SSS property, they are similar.

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Answer: first number is the slope, second number is the y intercept

1: 2 , -8

2: -2/3, -2

3: 1/2, 5

4: -1/3, 3

5: 1, 0

6: -2/3, 4

7: 3, 16

8: -1/4, 8

9: 1/4, 6

Step-by-step explanation:

Y-INTERCEPT:

The y- axis is the middle line going vertical (up down)

You have to look at the CROSSING line to find through which number the line crosses the y-axis

on #1 the line crosses exactly through -8 on the y axis, therefore -8 is the y-intercept

SLOPE:

the slope is (rise over run) rise/ run: to find it the top number is the rise (how far up you go), the bottom number is the run (how far over you go)

you want to find the next point of interception from the y intercept that goes directly through both an x and y plot, so for #1: (1,4) goes right though a x and y plot. You want to start at the y-intercept and count how many squares OVER you go (2) and how many squares UP you go (1) to get from the y-intercept to the next perfect intercept.

With the 2 squares over and 1 square up, the slope is 2/1 or 2

If the line is going DOWN from left to right, whatever slope you get is NEGATIVE

If the graph of \(f(x) = 4e^{0.1x}\) is blue, then the graph of \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\) is: C. red.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

For the rate of change of the blue exponential function \(f(x) = 4e^{0.1x}\), we have the following:

b = \(e^{0.1}\)

b = 1.11

For the rate of change of this exponential function \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\), we have the following:

b = 1 + 0.1/0.5

b = 1.2

Therefore, this exponential function \(f(x) = 4(1+\frac{0.1}{0.5} )^{0.5x}\) is represented by the red line on the graph.

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The length in each circle is:

(a) CD = 19.5 units

(b) UZ = 12.8 units

(a) The Intersecting Secant-Tangent Theorem states that "if two secant lines intersect outside a circle, and a tangent line is drawn from the point of intersection to the circle, then the product of the lengths of the two secant segments is equal to the square of the length of the tangent segment".

Using the theorem, we have:

EC * ED = EG²

6.5 * ED = 13²

6.5ED = 169

ED = 169/6.5

ED = 26 units

ED = EC + CD

26 = 6.5 + CD

CD = 26 - 6.5

CD = 19.5 units

(b) The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

UZ * UW = UX * UY

UZ * 40 = 8 * 64

40UZ = 512

UZ = 512/40

UZ = 12.8 units

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Answer:

Step-by-step explanation:

I love u

Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)

Using a TI-83, TI-83 Plus, or TI-84 Population standard deviation is 56.4 and Population variance is 3178.5 .

To calculate the population standard deviation and variance using a TI-83, TI-83 Plus, or TI-84 calculator, we can use the following steps:

Enter the data into a list on the calculator. To do this, press the STAT key, then select Edit. Enter the data into L1.

Calculate the sample mean by pressing STAT, then CALC, then 1-Var Stats. Make sure L1 is selected as the list, then press ENTER.

Find the population variance by pressing STAT, then CALC, then 2-Var Stats. Make sure L1 is selected as the list, then press ENTER. The variance will be displayed as sX².

Take the square root of the population variance to find the population standard deviation. To do this, press the MATH key, then select PRB, then select 5:√(. Enter the population variance, then press ENTER.

Using this method, we find that the population standard deviation is approximately 56.4 and the population variance is approximately 3178.5.

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Complete question is:

A statistics professor gives a survey to each of the 10 students in an introductory statistics course. The survey asks the students how many text messages they think they sent yesterday. The data are included below. Use a TI-83, TI-83 Plus, or TI-84 to calculate the population standard deviation and the population variance. Round your answers to one decimal place .

Texts sent yesterday: 29 211 130 21 5 21 19 67 60 95

ANSWER:9

Step-by-step explanation:

Answer:

\(x=13,\:y=0\)

Step-by-step explanation:

Isolate x for 2x-3y=26: \(x=\frac{26+3y}{2}\)

\(\mathrm{Substitute\:}x=\frac{26+3y}{2}\)

\(\begin{bmatrix}3\cdot \frac{26+3y}{2}-4.6y=39\end{bmatrix}\)

\(Simplify\)

\(\begin{bmatrix}39-0.1y=39\end{bmatrix}\)

Isolate y for 39-0.1y=39: y=0

\(\mathrm{For\:}x=\frac{26+3y}{2}\)

\(\mathrm{Substitute\:}y=0\)

\(x=\frac{26+3\cdot \:0}{2}\)

\(\frac{26+3*0}{2}=13\)

\(x=13\)

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=13,\:y=0\)

Answer:

D

Step-by-step explanation:

Answer:

x- 1

y-5

z-3

Step-by-step explanation:

all u have to do is calculate the distance, so for example y is 5 because - -4 -3 -2 -1 0 1 and that is a 5 number distance

The correct value of 2f(a-1) is 2a^2 - 12a + 10.

To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.

Given: f(x) = x^2 - 4x

Substituting (a-1) into the function:

f(a-1) = (a-1)^2 - 4(a-1)

Expanding and simplifying:

f(a-1) = (a^2 - 2a + 1) - (4a - 4)

f(a-1) = a^2 - 2a + 1 - 4a + 4

f(a-1) = a^2 - 6a + 5

Now, we multiply the result by 2:

2f(a-1) = 2(a^2 - 6a + 5)

Expanding:

2f(a-1) = 2a^2 - 12a + 10

Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.

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Answer:

A. $0.5

Step-by-step explanation:

In this question half of the time your winning is 2 dollars and also the other half of the time your loss is one dollar

The expectation is that after you must have had 2 rolls you would get 2 dollars once and also you are going to lose 1 dollar once. So what you won overall would be 1 dollar.

So the correct answer would be gotten from $1/2rolls

= $0.50

We may infer from comparing the medians of the two data sets that Bus 14 normally travels at a higher rate because its median is greater than Bus 18's median, which is greater than its median. Bus 14 is the appropriate response, with a median of 14.

In mathematics, the mean is the average of a set of data, which is calculated by adding all the numbers together and then dividing the result by the total number of numbers.

The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.

We must compare the central tendency of the two data sets in order to ascertain which bus normally has a shorter trip duration. The median is a suitable centre measurement because the data in each graph are not symmetrically distributed.

Looking at the Bus 14 graph, the median travel time is the value that separates the top half of the data from the bottom half, which is the middle value of the ordered data set. In this case, the median is 14, which means that half of the 15 students take 14 minutes or less to travel to school on Bus 14, and the other half take 14 minutes or more.

When examining the Bus 18 graph, the median trip time is also 12, the middle value in the sorted data set. This indicates that half of the 15 kids take Bus 18 to school in 12 minutes or less, while the other half take 12 minutes or longer.

We may infer from comparing the medians of the two data sets that Bus 14 normally travels at a higher rate because its median is greater than Bus 18's median, which is greater than its median. Bus 14 is the appropriate response, with a median of 14.

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Answer:

-5/4

Step-by-step explanation:

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)

Answer: -5/4

Step-by-step explanation:

To find the slope between two points, you can use the formula:

Slope = (y2 - y1)/(x2 - x1)

Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:

slope = (4 - (-1))/(-4 - 0)

slope = (4 + 1)/(-4)

slope = 5/-4

Therefore, the slope between the two points is -5/4.

This quesiton does not belong to Mathematics, but using logical deductions, we can state from Madam Stephanie Hayford's response that her birthday was on November 5th since inhabitants of the kingdom always tell the truth except when asked about their actual birthday.

We can deduce Madam Stephanie Hayford's birthday because she told a lie on her actual birthday by stating that it was yesterday.  This lie corresponds with the kingdom's practice of always telling the truth except if they are asked on their actual birthday.

Thus, logically, we can conclude that Madam Stephanie's birthday occurs on November 5th.

On November 6th, which was not her actual birthday, Madam Shephanie answered that her birthday was yesterday.

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Answer: B

Step-by-step explanation:

Step-by-step explanation:

C - equation for a cylinder is as follows V=πr2h Wich equals the same as the equation for a cone which is V=πr2h/3 and totals 235.62