Maria has ridden 44 miles of a bike course. The course is 80 miles long. What percentage of the course has Maria ridden so far?

Answer:

=5r+12

Step-by-step explanation:

Hope this helps :)

Answer: x=7 is a vertical line when graphed, so the slope is undefined. An equation parallel to the line would be x=6 or x=100, anything with an undefined slope really

Step-by-step explanation:

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the derivatives.

Hence, y = 3 sin(-4x), we use the chain rule here.

dy/dx =3 ( cos(-4x).-4)

====> dy/dx = -12 cos(-4x)

Alex can make a total of 180 different sandwiches by choosing one kind of meat from 10 options and two kinds of cheese from 9 options.

To determine the number of different sandwiches Alex can make, we need to consider the combinations of meat and cheese. Since Alex can choose one kind of meat from 10 options, there are 10 choices for the meat component of the sandwich. For the cheese component, Alex can choose two kinds of cheese from 9 options.

To calculate the total number of combinations, we can use the formula for combinations without repetition. The formula is nCr = n! / (r!(n-r)!), where n is the total number of options and r is the number of choices. In this case, n is 9 (number of cheese options) and r is 2 (number of cheese choices). Thus, the number of combinations of two kinds of cheese is \(9C2\)= 9! / (2!(9-2)!) = 36.

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Answer:

30 deg  9 sec  50 min

Step-by-step explanation:

First borrow 1 degree (equivalent to 60 seconds) from the 50', obtaining:

60 deg 49 sec 100 min

-30 deg 40 sec 50 min

-----------------------------------

30 deg  9 sec  50 min

Answer:

260≤67.5+35x

Step-by-step explanation:

Answer:

c. variables, constants, and functions

Step-by-step explanation:

A predicate is the property that some object posses. Predicate calculus is a kind of logic that combines the categorical logic with propositional logic. The formal syntax of a predicate calculus contains 3 Terms which consist  of:

1.  Constants and Variables

2. Connectives

3. Quantifiers

But in arguments to predicates and functions, the terms  can only be combination of variables, constants, and functions.

Answer:

Bot C, A, D, and B

Step-by-step explanation:

Answer: c,a,d,b

Step-by-step explanation: c is the fastest a is second fastest d is third, b is last

Answer:

A. 228.5

B. 10

Step-by-step explanation:

A. Since x represents the number of months, replace x with 6 in the equation. Then multiply 29x6, which equals 174. Then add 174+54.5, which equals 228.5.

B. You need to solve for x by switching the signs in the equation. Set the original equation (29x+54.5) equal to 344.50. To solve for x, first subtract 344.50-54.5, which equals 290 (you subtract because it's the opposite of adding). Then divide 290÷29, which equals 10. You can check your work by replacing x in the original equation with 10, and if you get 344.5, your answer is correct.

Good luck :)

Answer:

$3.00

Step-by-step explanation:

Answer: (-5, -5)

Step-by-step explanation: Reflection is a transformation in which there is a flip of the figure, object or point.

In our case, the point is reflected over the x-axis. When this happens, the y-coordinate of the point "flips", turning negative. So, thepoint reflected over the x-axis is (-5, -3).

Translation is also a transformation. In this transformation, the object figure or point moves a fixed distance, without changing the shape. When it is translated horizontally, the x-coordinate changes: if it is to the right, we add units; if it is to the left, we subtract units.

When the translation is vertical, the y-coordinate changes: if it is up, add units; If it's down, subtract units.

After the reflection, the now point (-5, -3) is translated down 2 units. Then, the change will be:

(-5, -3) = (-5, -3-2) = (-5, -5)

The final coordinates for the point, after reflection and translation, is (-5,-5).

Answer:

3/10  or 30%

Step-by-step explanation:

The longest, yet easiest way to do this is to find all possible numbers that fit this scenario

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Even Numbers: 2, 4, 6, 8, 10

Greater Than 5: 5, 6, 7, 8, 9, 10

Now find common numbers in both categories

6,8, and 10

meaning the probability is 3/10 or 30%

Answer:

A ∩ B

Step-by-step explanation:

The shaded part is in common between the two diagrams

We can write this part in this way :

A ∩ B

Answer:

she'll still owe him 8.21

Step-by-step explanation:

i dont know what you mean by write it as a negative integer ?

750 sq. Ft / 2 gallons = 375 sq ft per gallon

Divide total square feet by square feet per gallons:

3375 / 375 = 9 gallons total paint required.

Now multiply total gallons needed by price per gallon:

9 gallons x 7.50 per gallon = 67.50

Total cost = $67.50

Answer:

a

Step-by-step explanation:

If xi and yi are positively correlated in the sample, then the estimated slope is :
b. greater than zero.

When xi and yi are positively correlated, it means that as the value of xi increases, the value of yi also increases, and vice versa. In this case, the estimated slope of the regression line will be greater than zero, indicating a positive relationship between xi and yi.

The estimated slope, often denoted as "b" in a simple linear regression model (y = a + bx), quantifies the change in the dependent variable (yi) for each unit change in the independent variable (xi). In the case of a positive correlation, the estimated slope (b) would be greater than zero, indicating that for each unit increase in xi, yi is expected to increase by an amount equal to the estimated slope (b).

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Answer:

x = 3

Step-by-step explanation:

By tangent secant segment theorem:

\(x \times 12 = 4 \times 9 \\ \\ \implies \: 12x = 36 \\ \\ \implies \: x = \frac{36}{12} \\ \\ \implies \: x = 3\)

Answer:

x=3

Step-by-step explanation:

The number of officers in the regiment is given as follows:

65.

The number of officers is obtained solving a system of equations, for which the variables are given as follows:

There is one officer for 16 privates, hence the first equation is given as follows:

y = 16x.

The total number of people is of 1105, hence:

x + y = 1105.

Replacing the first equation into the second, the total number of officers is given as follows:

x + 16x = 1105

x = 1105/17

x = 65.

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Answer:

Larger angle measures 110°

Step-by-step explanation:

(7x + 19)° + (5x + 5)° = 180° (Supplementary angles)

or, 12x + 24° = 180°

or, 12x = 156°

or, x = 13°

(7x + 19)° = (7 * 13 + 19)° = 110°

(5x + 5)° = (5 * 13 + 5)° = 70°

The root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

The False Position method involves finding the x-value that corresponds to the x-intercept of the line passing through \(\((a, f(a))\)\) and \(\((b, f(b))\),\)where (a) and (b) are the endpoints of the interval.

Let's begin the iterations:

Iteration 1:

\(\(a = -1\), \(f(a) = (-1)^3 - 3(-1) - 1 = -3\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -3\)\)

The line passing through (-1, -3) and (1, -3) is (y = -3). The x-intercept of this line is at (x = 0).

Therefore, the new interval becomes [0, 1] since the sign of f(x) changes between\(\(x = -1\) and \(x = 0\).\)

Iteration 2:

\(\(a = 0\), \(f(a) = (0)^3 - 3(0) - 1 = -1\)\)

\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -2\)\)

The line passing through\(\((0, -1)\) and \((1, -2)\) is \(y = -x - 1\)\). The x-intercept of this line is at (x = -1).

After the second iteration, the new interval becomes [-1, 1] since the sign of f(x) changes between (x = 0) and (x = -1).

Therefore, the root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.

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Given the ODE using Frobenius Method x²y"+x²y¹-2y = 0The Frobenius method is used to obtain the power series solution of a differential equation of the form:

xy″+p(x)y′+q(x)y=0Which is given in your question as: x²y"+x²y¹-2y = 0The general form of the Frobenius solution can be expressed as a power series of the form:y(x)=x^r ∑_(n=0)^(∞) a_n x^n+rwhere 'r' is any arbitrary constant and the 'a_n' coefficients are determined from the recurrence relation.

The Frobenius method consists of substituting this power series into the differential equation and equating the coefficient of the same powers of x to zero. This method can be used to solve any second-order differential equation having a regular singular point.

Therefore, substituting the given equation we get:$$ x^2 y'' + x^2 y' - 2y = 0 $$Let the solution of the given equation be:y(x) = ∑_(n=0)^(∞) a_n x^(n + r)Substituting this in the differential equation, we get:$$ x^2y'' + x^2y' - 2y = \sum_{n=0}^\infty a_n [(n+r)(n+r-1)x^{n+r} + (n+r)x^{n+r} - 2x^{n+r}] $$Equating the coefficient of each power of x to zero, we get:Coefficients of x^(r):$$ r(r-1)a_0 = 0 \Rightarrow r=0,1 $$Coefficients of x^(r + 1):$$ (r+1)r a_1 + (r+1)a_1 - 2a_0 = 0 $$Taking r = 0, we get:a_1 - 2a_0 = 0a_1 = 2a_0

The solution becomes:y_1(x) = a_0 [1 + 2x]Taking r = 1, we get:$$ 6a_2 + 3a_1 - 2a_0 = 0 $$a_2 = (1/6) [2a_0 - 3a_1]Substituting the value of a_1 from above, we get:a_2 = a_0/3The second solution is given by:y_2(x) = a_0 [x^2/3 - 2x/3]Therefore, the required solution of the given ODE using Frobenius method is:y(x) = c_1 y_1(x) + c_2 y_2(x)y(x) = c_1 [1 + 2x] + c_2 [x^2/3 - 2x/3]

Hence, the second and third-degree Legendre polynomials generated and the solution of the given ODE using the Frobenius method is obtained above.

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Answer:

Five bags of dog food costs $21.25.

Step-by-step explanation:

We can solve using proportions.

\( \frac{6 \: bags}{25.50 \: dollars} = \frac{5 \: bags}{x} \\ \\ \frac{127.5}{6} = \frac{6x}{6} \\ \\ 21.25 = x \\ 21.25 \: dollars = x\)

The maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD is 434 kips.

The maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD,

where

D = 100k,

L = 140k, L < 100psf,

Lr = 40k,

W = +160k or −100k, and

E = +180k or −125k is given below:

Design load = 1.2D + 1.6(Lr or S or R) + 0.5(L + Lr or R) + (W or E)

Here, D is the weight of dead load, L is the weight of live load, Lr is the weight of the roof live load, W is the weight of wind load and E is the weight of earthquake load.

Therefore, for the given loads,

D = 100k

L = 140k

Lr = 40k

W = +160k or −100k

E = +180k or −125k

Max load = 1.2D + 1.6(Lr) + 0.5(L + Lr) + W

= 1.2 (100) + 1.6 (40) + 0.5 (140 + 40) + 160

= 120 + 64 + 90 + 160

= 434 kips

Therefore, the maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD is 434 kips.

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Answer:

The smaller angle is 2x+5=87

Step-by-step explanation:

Since the angles are supplementary,

3x+2x+25=180°

=>5x+25=180°

=>5x=155

=>x=31

So substituting x in both angles, 3x=93° and 2x+25=87°, therefore our answer

Yes, Ms. Ouzts will have enough to purchase the purse as $125 is greater than the total cost of the purse including tax, which is $108.50.

The sales tax in South Carolina is 8.5%, which means that the total cost of the purse including tax will be

= Cost of purse + Sales tax

Substitute the values in the equation

= $100 + (8.5% of $100) = $100 + $8.50 = $108.50

If Ms. Ouzts has $125 to spend on the purse, then she will have enough to purchase it because $125 is greater than $108.50.

In fact, she will have $125 - $108.50 = $16.50 left over after buying the purse.

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Answer:

\(183.63\) square feet area is covered by seeds per pound

Step-by-step explanation:

Given

\(41\frac{1}{4}\) pound bag of seed cover an area of \(7575\) square feet

\(\frac{165}{4}\) pound bag of seed cover an area of \(7575\) square feet

Or

\(7575\) square feet area is covered by \(\frac{165}{4}\) pound bag of seed

Area in square feet covered by one pound bag of seed

\(= \frac{7575}{\frac{165}{4} } \\= \frac{7575 * 4}{165} \\= 183.63\) square feet

Answer:

she has painted bout 3/4

Step-by-step explanation:

hope it in some way helped

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