Three more than the product of two and a number

95% is greater than 0.9 95%>0.9

\(6a = 4.54 - 5b \\ a = \frac{227}{300} - \frac{5}{6} b \\ 6a = 4.54 - 5b \\ a = \frac{227}{300} - \frac{5}{6} \\ 3( \frac{227}{300} - \frac{5}{6} b) + 7b = 3.17 \)

\( 3( \frac{227}{300} - \frac{5}{6} b) + 7b = 3.17 \\ \frac{227}{100} - \frac{5}{2}b + 7b = 3.17 \\ \frac{9}{2}b = 0.9 \\ b = 0.2 \\ a = 0.59\)

Answer: 16 feet cubed

Step-by-step explanation:

Answer:

The answer is 40 ft³

Step-by-step explanation:

I took the test. Simple as that

a pair of jenas that sell for $49

rate of tax is 6%

cost of that jeans is ?

Let the cost of jeans = x

through question

or, $49 = X + X×6%

or,$49 = X + X×6/100

or, $49 = 106X/100

or, $4900 = 106X

or, X = $4900/106

: X = $46.226

thus ; the cost of jeans is $46.226

Answer:

51.94

Step-by-step explanation:

6% of 49 is 2.94. 49 + 2.94 = 51.94

Answer:

  (a) x ≈ -0.93

  (d) x ≈ 1.06

Step-by-step explanation:

You want the approximate solutions to log₅(x+5) = x².

We find solving an equation of this nature graphically to be quick and easy. First, we rewrite the equation as ...

  log₅(x+5) - x² = 0

Then we graph the left-side expression and let the graphing calculator show us the zeros.

  x ≈ -0.93, 1.06

__

Additional comment

We can evaluate the above expression for the different answer choices and choose the x-values that make the value of it near zero. The second attachment shows that -0.93 and 1.06 give values with magnitude less than 0.01.

<95141404393>

We calculate that the approximate solutions of the equation \(log5(x + 5) = x^2\) are x ≈ -0.93 and x ≈ 1.06.

To find the approximate solutions of the equation, we need to analyze the behavior of the given equation. The equation involves a logarithm and a quadratic term.

First, we can observe that the logarithm has a base of 5 and the argument is x + 5. This means that the value inside the logarithm should be positive for the equation to be defined. Hence, x + 5 > 0, which implies x > -5.

Next, we notice that the right-hand side of the equation is \(x^2\), a quadratic term. Quadratic equations typically have two solutions, so we expect to find two approximate solutions.

To determine these solutions, we can use numerical methods or approximations. By analyzing the equation further, we find that the two approximate solutions are x ≈ -0.93 and x ≈ 1.06.

These values satisfy the given equation log5(x + 5) = \(x^2\), and they fall within the valid range of x > -5. Therefore, the approximate solutions of the equation are x ≈ -0.93 and x ≈ 1.06.

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Answer:

35

Step-by-step explanation:

Answer:

x<5

Step-by-step explanation:

We solve this question as if it was an equation but keep the sign an inequality sign this will be flipped when you divide both sides.
-5x+27>2
Subtract 27 from both sides:
-5x+27-27>2-27
-5x>-25
Divide both sides by -5 AND FLIP THE SIGN:
-5x/-5<-25/-5
x<5
If we substitute 5 into the inequality it will not be true but if you do any number below 5 it will work.
Therefore x<5 is the correct answer

Answer:

Step-by-step explanation:

The set up will give a right angled triangle;

altitude (opposite side ) = 1700m

angle of depression = 25degrees

Required

distance from the plane to the rock (adjacent side)

Using the SOH, CAH, TOA identity;

According to TOA

tan 25 = opposite/adjacent

tan25 = 1700/adj

adj = 1700/tan 25

adj = 1700/0.4663

adj = 3,645.72m

Hence the distance from the plane to the rock to 1 dp is 3,645.7m

Yes, it is possible for a plot of a partial expansion of f[x] to share ink with the plot of f[x] all the way from -[infinity] to + [infinity].

Explanation:

We can approximate f(x) as a Fourier series, as follows:

\($$f(x) = \sum_{n=0}^{\infty}a_n\cos\left(\frac{n\pi x}{L}\right)+\sum_{n=1}^{\infty}b_n\sin\left(\frac{n\pi x}{L}\right)$$\)

If f(x) is an odd function, the cosine terms are gone, and if f(x) is an even function, the sine terms are gone.

We can create an approximation for f(x) using only the first n terms of the Fourier series, as follows:

\($$f_n(x) = a_0 + \sum_{n=1}^{n}\left[a_n\cos\left(\frac{n\pi x}{L}\right)+b_n\sin\left(\frac{n\pi x}{L}\right)\right]$$\)

For any continuous function f(x), the Fourier series converges uniformly to f(x) on any finite interval, as given by the Weierstrass approximation theorem.

However, if f(x) is discontinuous, the Fourier series approximation does not converge uniformly.

Instead, it converges in the mean sense or the L2 sense. The L2 norm is defined as follows:

\($$\|f\|^2 = \int_{-L}^{L} |f(x)|^2 dx$$\)

Hence, it is possible for a plot of a partial expansion of f(x) to share ink with the plot of f(x) all the way from -[infinity] to + [infinity].

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The sum of the exterior angle of the pentagon is 360 degrees.

The polygon above is a pentagon. A pentagon is a polygon with 5 sides.

If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.

Therefore, the sum of the measure of the exterior angles of the pentagon as shown is 360 degrees.

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Answer:

x = 4

Step-by-step explanation:

A line with an undefined slope is a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through

The line passes through (4, 0 ) with x- coordinate 4 , then

x = 4 ← equation of line

the final answer is x= -7

Answer:

21

Step-by-step explanation:

Answer:

its 32

Step-by-step explanation:

no im jk its 81

Answer:

b)

x= 5

Step-by-step explanation:

4x = 20

:4

x=5

Answer:

Step-by-step explanation:

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Answer: The last one

Step-by-step explanation: The area of a parallelogram is base x height, so you know the original area of the parallelogram is 2 x 1, which is 2.

Great, so now you have to find the area of the new parallelogram. The question says the base is halved, so the new base is now 1, and the height is quadrupled, so the height is now 4, because 1 x 4 = 4. Plugging that into the equation for the area of a parallelogram, you get an area of 4, because 1 x 4 = 4.

Now, you have to find the ratio between the two areas, and you can see that all the answer choices want the area to be new area:old area. Well, you just solved the new area, and you know the old area, so putting those two in a ratio gives you 4:2. Wait! But you have to simplify it first, or else the answer will be wrong. To simplify, you need to divide both sides by two, since it is the greatest common factor, or GCF. Dividing both sides by 2 will now give you 2:1, which is what the last answer choice says.

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

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The value of x is 15 provided that lines m and n are parallel to each other.

Alternate angles are opposite angles that are formed when a transversal cuts a line into two. In the given diagram, we have 6x - 5) forming an alternate interior angle with line m. So, we can find the sum of angles in a triangle to determine the value of x.

This implies that (6x + 5) + (6x - 5) = 180. (sum of angles in a triangle). By opening the brackets, we get:

6x  + 5 + 6x - 5 = 180

12x = 180

Divide both sides by 12

12x/12 = 180/12

x = 15

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Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

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Answer:

QR=6

Step-by-step explanation:

Divide 6 by 4 equal 1.5

So you need to divide 9 by 1.5 which is equal to 6

So RQ=6

The specific name of the quadrilateral is kite

The measures of the missing angles are 75 degrees each

To determine the measure of the angle, we need to know the different properties of a kite.

The properties of a kite includes;

Since the adjacent angles are equal, we have that;

105+ x = 180

collect the like terms, we have;

x = 180 - 105

x = 75 degrees

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The quadrilateral is a kite and the missing angles are 105° and 45°

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

A kite has a pair of equal angle and the diagonals of a kite meets at 90°.

In a kite , there are two pairs of congruent or equal sides.

This means that the missing angles are

The opposite angle to 105 is also 105°

The fourth angle is calculated as;

105+105+105+x = 360

= 315 +x = 360

x = 360- 315

x = 45°

Therefore the quadrilateral is a kite and the missing angles are 105° and 45°

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Answer:

x=4

Step-by-step explanation:

We move all terms to the left:

1-(2x+4)-(-4x+5)=0

We get rid of parentheses

-2x+4x-4-5+1=0

We add all the numbers together, and all the variables

2x-8=0

We move all terms containing x to the left, all other terms to the right

2x=8

x=8/2

x=4

The value of r for the given inequality 7(-5r + 3) - 7r ≤ -29 + 8r is r ≥ 1.

Inequality shows relation between two expression which are not equal to each others.

The given inequality is,

7(-5r + 3) - 7r ≤ -29 + 8r

To determine the value of r, simplify the inequality,

-35r + 21 - 7r ≤ -29 + 8r

21 - 42r  ≤ -29 + 8r

21 + 29  ≤ 42r + 8r

50  ≤ 50r

1 ≤  r

Or r ≥ 1.

The value of r is greater than or equal to 1.

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Answer:

D 35

Step-by-step explanation:

When figuring this out you can just plug in your answers if you want to take it the easier way by just putting in the 35 in places of x and multiplying 0.1 times 35 gets you 3.5 so 3.5 minus 2.5 is 1

Answer:

xDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD.........................................................D :D

The vertices of the feasible region of the constraints are (a) (0, 0), (0, 3), (2, 3), (5, 0)

The constraints of a problem are listed below. What are the vertices of the feasible region?

x + y ≤ 5

y ≤ 3

x ≥ 0

y ≥ 0

The constraints are given as:

x + y ≤ 5

y ≤ 3

x ≥ 0

y ≥ 0

The interpretation of the constraints are:

The vertices of the feasible region that satisfy the above highlights are: (a) (0, 0), (0, 3), (2, 3), (5, 0)

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As a result, the equation system cannot be solved (no solution).

\(y = mx+c\) is the general form of a linear equation of one degree where m is the slope, \(c\) is intercepted,  \(x\) and  \(y\) is variables.

A mathematical assertion that establishes the equality of two mathematical expressions is the definition of an equation. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' symbol.

Given two systems of equations,

\(y = 3x + 10 \ \ \ \ \ \ \ \ \ \ \ \ .........................(1)\\2y = 6x - 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ........................(2)\)

Substitute y=3x+10 from equation (1) into equation (2) and simplify.

\(2(3x+10)=6x-4\\6x+20=6x-4\\20+4=6x-6x\\24=0\)

Since 24=0 is false, therefore the system of the equation has no solution.

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Answer:

Baroque is a particular style in architecture, music and the arts that was popular between the late 17th and mid-18th centuries, especially in Catholic countries.

It is characterized in architecture and drawing using flexible or dotted lines, floral and gilded ornamentation (which gave rise to the Rococo style) and spatial effects. Among the most important baroque artists could be mentioned Bernini, Borromini, Caravaggio and Rubens.

In music compositions by composers such as Johann Sebastian Bach and Monteverdi are associated with baroque music. This was the period that saw the development of the opera.

In literature, Baroque is a less definite and defined term. Picaresque novels of the period could be considered as an example. It was an important influence on the literature of the period as well, especially in France, Italy, southern Germany and Spain.