how do you cross multiply ?​

Answer:

5+√97/4

Also 5-√97/4

Step-by-step explanation:

The Quadratic formula is x=-b+-√b^2-4ac/2a

This means that we should plug the values for A B AND C into the formula

We can work out that

A = 2

B=-5

C=-9

Once we have put these into the formula we get

5+√97/4 (all over 4) aka 3.71

Also 5-√97/4 (all over 4) aka -1.21

Answer:

[tex]\large\boxed{x=\dfrac{5-\sqrt{97}}{4}\ or\ x=\dfrac{5+\sqrt{97}}{4}}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ ax^2+bx+c=0\\\\\text{The quadratic formula:}\\\\\Delta=b^2-4ac\\\\\text{If}\ \Delta>0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\\text{If}\ \Delta=0,\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}\\\\\text{If}\ \Delta<0,\ \text{then the equation has no solution}\\==================================[/tex]

[tex]\text{The equation}\ 2x^2-5x-9=0\\\\a=2,\ b=-5,\ c=-9\\\\\Delta=(-5)^2-4(2)(-9)=25+72=97>0\\\\\sqrt\Delta=\sqrt{97}\\\\x_1=\dfrac{-(-5)-\sqrt{97}}{2(2)}=\dfrac{5-\sqrt{97}}{4}\\\\x_2=\dfrac{-(-5)+\sqrt{97}}{2(2)}=\dfrac{5+\sqrt{97}}{4}[/tex]

Answer:

c 5/48

Step-by-step explanation:

It is 5892 and i know it has to be or I guess I am wrong (i don’t care) hahahaha

Answer:

-13 + j*2

Step-by-step explanation:

The additive inverse of a complex number x = a +j*b

is a number y, such that

x + y = 0

This means that

y = -x = - a - j*b

Therefore

The additive inverse of 13 - j*2 is equal to

-(13 - j*2) = -13 +j*2

Answer: (A) The root at point P may be .

Step-by-step explanation:edge2022

Answer:

Step-by-step explanation:

Inverse Variation. Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10.

Answer:

  x ≈ 42°

Step-by-step explanation:

Label the vertices of the quadrilateral shown at the upper left in you diagram A, B, C, and D, starting at the lower left. Label the center point X. Then the red line is CX and the lower two line segments are CD and DA. (A, C, D, and X are not coplanar.)

Angle D of triangle ACD is the interior angle of a regular pentagon, so measures 108°. That means angle ACD measures (180° -108°)/2 = 36°. If we label the midpoint of segment AC point Y, then the length of segment CY is ...

  CY = CD·cos(36°)

Now triangle BCD is an equilateral triangle, so segment CX will have a length corresponding to the altitude of that triangle, CD·√3/2. Shifting our focus to the triangle AXC, we find that angle XCY will satisfy the relation ...

  cos(XCY) = CY/CX = CD·cos(36°)/(CD·√3/2) = (2/)√3·cos(36°)

Angle x is the exterior angle of triangle AXC that is opposite the two equal interior angles XCY and XAY. Hence its value is double that of angle XCY.

  angle x = 2·arccos((2/√3)·cos(36°)) ≈ 2·20.905° ≈ 41.81°

  angle x ≈ 42°

_____

Comment on the angle

The icosahedron is the only Platonic solid with a dihedral angle more than 120°. It is about 138.19°, the supplement to angle x.

Comment on point labels

It may help to label the points in the 3-d version of the figure. Then you can see that segment AC is a line through the interior space of the icosahedron.

Answer:

Use the quadratic formula

Step-by-step explanation:

Use the quadratic formula

For a quadratic function of the form:

[tex]ax ^ 2 + bx + c[/tex]

Where a, b and c are the real coefficients of the polynomial

Then, for

[tex]2x^2+4x-7=0\\a = 2\\b = 4\\c = -7[/tex]

The solutions are:

[tex]x_1 = \frac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_2 = \frac{-b-\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x_1 = \frac{-4+\sqrt{4^2-4(2)(-7)}}{2(2)}\\\\x_2 = \frac{-4-\sqrt{4^2-4(2)(-7)}}{2(2)}\\\\x_1 = \frac{-2+3\sqrt{2}}{2}\\\\x_2 = \frac{-2-3\sqrt{2}}{2}[/tex]

Answer:   [tex]\bold{\dfrac{241}{500}}[/tex]

Step-by-step explanation:

[tex]0.482 = \dfrac{482}{1000}\\\\\\\dfrac{482}{1000}\div \dfrac{2}{2}=\dfrac{241}{500}[/tex]

Answer:

241/500 is The answer

Step-by-step explanation:

1) 0.482 = 482/1000

2) Divide by 2 on both side

0.482 = (482/2)/(1000/2) = 241/500

Hopes this helps!

Final answer:

The quadrilateral with two pairs of parallel sides, equal side lengths, and no right angles is a rhombus. It can be thought of as a 'pushed over' square without right angles.

Explanation:

The student is asking about a type of quadrilateral that meets certain criteria: it has two pairs of parallel sides, all sides are of equal length, and it has no right angles. A rectangle is a quadrilateral with four right angles, hence it does not meet the criteria since the question specifies no right angles. Considering the traits listed, the quadrilateral in question is a rhombus. A rhombus has all sides of equal length and two pairs of parallel sides, but unlike a square, it does not necessarily have right angles. To visualize, we can think of a 'pushed over' square – if the angles are all acute or obtuse rather than right angles, it qualifies as a rhombus.

The graph of a quadratic equation (a parabola) opens upwards or downwards depending on whether the coefficient of the x^2 term is positive or negative, respectively. The vertex of the parabola corresponds to the function's extreme point (maximum or minimum), and its coordinates are calculable with the formula (-b/2a, f(-b/2a)).

The graph of a quadratic equation, otherwise known as a parabola, opens upwards if the coefficient of the x^2 term is positive and opens downwards if it is negative. The maximum or minimum point of the parabola is known as the vertex. In a standard form quadratic equation y = ax^2 + bx + c, the coordinates of the vertex are given by the equation (-b/2a, f(-b/2a)).

So for example, for the quadratic equation y = 2x^2 + 3x + 1, the parabola would open upwards, and the vertex would be at (-3/4, f(-3/4)), which would be the minimum point of the parabola.

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Answer: 696

Step-by-step explanation:

58 times 12

Answer:

696 seeds

Step-by-step explanation:

12*58

I need help to please?

Answer:

x = 15

Step-by-step explanation:

Answer: Variables are usually written in lower-case letters.

Step-by-step explanation:

For example, it's "9x +10" not "9X +10"

Answer: E. 150 square units.

Step-by-step explanation:A polygon is figure with at least 3 straight or definite sides or typically 5 or more straight sides.

Here the polygon we are given is a rectangle.

We know that,

Area of a rectangle = l x w

so we need to measure the length and width of the rectangle to find its area.

If we look closely, we can see the length of the rectangle above the x-axis is 8 units and the length below the x-axis 7 units which makes a total og 15 units.

Answer:

D) 150 square units

Step-by-step explanation:

Use the distance formula: d = (x2 - x1)2 + (y2 - y1)2

A = L x W = 15/-2x 5/-2

= 150

➷ population = 100,000 x 1.03^5

➶ Hope This Helps You!

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➶ Have A Great Day ^-^

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Answer:

Step-by-step explanation:

[tex]y-1<2x\qquad\text{add 1 to both sides}\\\\y<2x+1\\\\\text{Substitute the coordinates of the points and check the inequality:}\\\\a.\ (3,\ 7)\\7<2(3)+1=6+1=7\qquad\text{FALSE}\\\\b.\ (1,\ 8)\\8<2(1)+1=2+1=3\qquad\text{FALSE}\\\\c.\ (2,\ 7)\\7<2(2)+1=2+1=5\qquad\text{FALSE}\\\\d.\ (3,\ -11)\\-11<2(3)+1=6+1=7\qquad\text{TRUE}[/tex]

Answer:

-b + 5

Step-by-step explanation:

translation

Final answer:

The y-coordinate of point S after reflection across the x-axis and translation is -b, as reflection across the x-axis changes the sign and translation to the right does not affect the y-coordinate.

Explanation:

The student is asking to find the y-coordinate of a point S after a reflection across the x-axis and a translation 5 points to the right of a point R with coordinates (a,b).

The reflection of the y-coordinate across the x-axis changes its sign, so the reflected y-coordinate of point R would be -b. Translating a point to the right does not affect the y-coordinate, so the y-coordinate of point S would remain -b after this translation. Therefore, the expression that represents the y-coordinate of S is simply -b.

Answer:

15

Step-by-step explanation:

The data values could be 10, 10, 10, 25, 25, 40.

Mean absolute deviation is defined as the average value of the absolute deviations from the mean.

Given that,

Mean absolute deviation of a set of 6 data values = 10

Let x1, x2, x3, x4, x5 and x6 be the data values.

Mean = 20

x1 + x2 + x3 + x4 + x5 + x6 / 6 = 20

x1 + x2 + x3 + x4 + x5 + x6 = 120

Also we have mean absolute deviation = 10

Data values could be 10, 10, 10, 25, 25, 40.

Mean = 20 and MAD = 10

Hence the data values could be 10, 10, 10, 25, 25, 40.

Learn more about Mean Absolute Deviation here :

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Answer:

$246

Step-by-step explanation:

The price of the product is $390, after 6 months the price is marked down by 10% which is $39 so the total will be $351. After another 6 months the price is marked down again by 30%, which is $105 and 3 cents ($105.3). For a total of $245 and 7 cents ($245.7).  To round the number you only need to look at the number after the decimal which is 7 in this case. Any number bellow 5 counting 5 in it, will stay the same number, any number above 5 without counting 5 will be the next number. So $245.7 rounded to the nearest dollar will be $246.

Hope it was helpful ^^ <3

Good Luck

Answer:

Option B. [tex]33,493.3\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the sphere is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=40/2=20\ cm[/tex] ----> the radius is half the diameter

[tex]\pi=3.14[/tex]

substitute the values

[tex]V=\frac{4}{3}(3.14)(20)^{3}=33,493.3\ cm^{3}[/tex]

Answer:There will be 10 grams left because you subtract half of the current amount from it every 9 years.

Step-by-step explanation:

Starting with 40 grams of europium which has a half-life of 9 years, after the first half-life, there would be 20 grams left, and after the second half-life (a total of 18 years), there would be 10 grams remaining.

The question is about calculating the amount of a radioactive substance that remains after a certain period of time has passed, which is based on the substance's half-life. Given that the half-life of europium is 9 years, after one half-life (9 years) 50% of the substance would remain, and after two half-lives (18 years) only 25% would remain. Since we started with 40 grams of europium, we apply this decay process step by step:

Therefore, after 18 years, there will be 10 grams of the radioactive europium left.

Answer:

3.75 hours

Step-by-step explanation:

Using the relation

Distance = speed × time

Change Jasmine's speed into an improper fraction

9 [tex]\frac{3}{10}[/tex] = [tex]\frac{93}{10}[/tex], then

distance = [tex]\frac{93}{10}[/tex] × [tex]\frac{5}{2}[/tex] = [tex]\frac{93}{4}[/tex] miles

To calculate Lucy's time over the same distance use

Time = [tex]\frac{distance}{speed}[/tex]

Change speed to an improper fraction

6 [tex]\frac{1}{5}[/tex] = [tex]\frac{31}{5}[/tex], hence

time = [tex]\frac{\frac{93}{4} }{\frac{31}{5} }[/tex]

       = [tex]\frac{93}{4}[/tex] × [tex]\frac{5}{31}[/tex] ( cancel 93 and 31 )

      = [tex]\frac{3(5)}{4}[/tex]

      = [tex]\frac{15}{4}[/tex] = 3.75 hours

Final answer:

It took Lucy approximately 160.17 minutes to bike the trail.

Explanation:

Jasmine finished the bike trail in 2.5 hours at an average rate of 9 3/10 miles per hour. Lucy biked the same trail at a rate of 6 1/5 miles per hour. To find out how long it took Lucy to bike the trail, we can use the formula:

Time = Distance / Rate

Since the distance is the same for both Jasmine and Lucy, we can set up an equation:

2.5 = Distance / 6 1/5

To solve this equation, we first need to convert 2.5 into a fraction. 2.5 is the same as 2 1/2. So, the equation becomes:

2 1/2 = Distance / 6 1/5

To make the equation easier to work with, we can convert 2 1/2 into an improper fraction: 2 1/2 = 5/2. The equation now becomes:

5/2 = Distance / 6 1/5

To solve for Distance, we can use cross-multiplication:

(5/2)(6 1/5) = Distance

Simplifying the right side of the equation:

(5/2)(31/5) = Distance

(5/1)(31/5) = Distance

31 = Distance

So, the distance of the bike trail is 31 miles. Now, we can find out how long it took Lucy to bike the trail by using the formula Time = Distance / Rate:

Time = 31 / 6 1/5

Once again, let's convert 31 into a fraction: 31 = 31/1. The equation now becomes:

Time = 31/1 / 6 1/5

To divide fractions, we can multiply by the reciprocal of the second fraction. So, the equation becomes:

Time = 31/1 * 5 1/6

Now, we can convert 5 1/6 into an improper fraction: 5 1/6 = 31/6. The equation now becomes:

Time = 31/1 * 31/6

To multiply fractions, we can multiply the numerators together and the denominators together. So, the equation becomes:

Time = (31*31) / (1*6)

Calculating the numerator and denominator separately:

Time = 961 / 6

So, it took Lucy approximately 160.17 minutes to bike the trail.

Answer:

F

Step-by-step explanation:

Final answer:

The three equivalent expressions to (a^2-16(a+4)) are: (a-4)^3, (a+4)^2(a-4), and (a-4)(a+4)(a+4).

Explanation:

The expression (a^2-16(a+4)) can be simplified by expanding the terms and combining like terms. First, apply the distributive property by multiplying -16 by (a+4), giving -16a-64. Then, multiply a^2 by -16 to get -16a^2. Finally, combine like terms to get -16a^2 - 16a - 64.

Therefore, the three equivalent expressions to (a^2-16(a+4)) are:

(a-4)^3

(a+4)^2(a-4)

(a-4)(a+4)(a+4)

Answer:

$520

Step-by-step explanation:

We first find the interest;

400*2*15/100=4*2*15

                      =$120

Total=$120+$400

        =$520

Answer:520

Step-by-step explanation:

above correct

8 because the begging of the box is 8 away from the end of the box

Answer:

C.8 mark me as the best

Step-by-step explanation:

A=f(18)=110(.8855)^18=12.3mg

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

Explanation:

Plug in t = 18 to get

f(t) = 110*(0.8855)^t

f(18) = 110*(0.8855)^18

f(18) = 110*(0.112045)

f(18) = 12.32495

f(18) = 12.32

The answer is approximate. I rounded to two decimal places (aka to the nearest hundredth).

Answer:

x = 2

Step-by-step explanation:

These are 2 secant lines intersecting a circle. This problem can be solved using secant-theorem.

Simply put, the secant theorem tells us that the outer segment (outside the circle) times the total length of secant line (outer and inner segment) is equal to that of the other secant line's product of outer and total.

For this diagram, according to the theorem, it should be:

DE * CE = AE * BE

Hence we have:

[tex]DE * CE = AE * BE\\(1+x+4)*(x+4)=(11+x+1)*(x+1)\\(x+5)*(x+4)=(x+12)*(x+1)\\x^2+9x+20=x^2+13x+12\\20-12=13x-9x\\8=4x\\x=\frac{8}{4}=2[/tex]

The value of x is 2

Answer:

The lateral area is [tex]298.7\ units^{2}[/tex]

Step-by-step explanation:

we know that

The lateral area of the regular octagonal pyramid is equal to the area of its eight triangular lateral faces

The lateral area is equal to

[tex]LA=8[\frac{1}{2}(b)(l)][/tex]

we have

[tex]b=6.6\ cm[/tex]

To find the slant height apply the Pythagoras Theorem

[tex]l^{2}=8^{2} +8^{2}\\l^{2}=128\\l=\sqrt{128}\ units[/tex]

Find the lateral area

substitute the values

[tex]LA=8[\frac{1}{2}(6.6)(\sqrt{128})]=298.7\ units^{2}[/tex]

The answer is 298.7 cm²