what is the maximum monthly credit obligation that she has​

Answer:

[tex]y = 17[/tex]

Step-by-step explanation:

We were given the equation

[tex]y = 3x + 8[/tex]

and we were told that x = 3, therefore y would be

[tex]y = 3x + 8 \\ y = 3(3) + 8 \\ y = 9 + 8 \\ y = 17[/tex]

Answer: The answer is the first option:  [tex]a > -21\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] × [tex]a > -16[/tex]

[tex]\frac{3}{4}a\cdot \frac{4}{3} > -16\cdot \frac{4}{3}[/tex]

[tex]\frac{3}{4}\cdot \frac{4}{3}a > -16\cdot \frac{4}{3}[/tex]

[tex]a > -16\cdot \frac{4}{3}[/tex]

[tex]a > \frac{-16\cdot 4}{3}[/tex]

[tex]a > \frac{-64}{3}[/tex]

Answer:

5/6

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

probability(event) = (number of desired outcomes)/(total number of outcomes)

The total number of outcomes is 6 since there are 6 different sides on the cube.

The number of desired outcomes is 6 minus 1 for rolling a 3, so it is 5.

p(not 3) = 5/6

Answer:

^^

Step-by-step explanation:

Answer:

Slope: 1

y-intercept: (0, -6)

Answer:

No, because there is only one set of congruent angles.

Step-by-step explanation:

I took the instruction, and this was the right answer!

Answer:

D

Step-by-step explanation:

Answer:

The answer is:

the first one

second one

:D

Step-by-step explanation:

in this case, any number in the tens place less than five will make the number round down

Answer:

4.19

Step-by-step explanation:

Find the mean:

[tex]\text{Mean}=\frac{12+19+9}{3}=\frac{40}{3}[/tex]

Find the standard deviation:

[tex]\text{Standard Deviation}=\sqrt{\frac{(12-\frac{40}{3})^2+(19-\frac{40}{3})^2+(9-\frac{40}{3})^2}{3}}=\sqrt{\frac{158}{9}}\approx4.19[/tex]

Answer:

  (D)  sIn(30°) = 5/x

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between sides and trig functions for a right triangle. Here, the hypotenuse and the side opposite the angle are marked. The relevant relationship is ...

  Sin = Opposite/Hypotenuse

Filling in figure values, we have ...

  sIn(30°) = 5/x

Answer:

I believe it is B

Step-by-step explanation:

[tex]\underset{\leftarrow ~~ 6x+9 ~~ \to }{J\stackrel{20}{\rule[0.35em]{15em}{0.25pt}} K\stackrel{x + 9}{\rule[0.35em]{10em}{0.25pt}} L} \\\\\\ \stackrel{JL}{6x+9}~~ = ~~\stackrel{JK}{20}+(\stackrel{KL}{x+9})\implies 6x+9=29+x\implies 5x+9=29 \\\\\\ 5x=20\implies x=\cfrac{20}{5}\implies x=4\hspace{5em}\boxed{\underset{KL}{\stackrel{(4)~~ + ~~9}{13}}}[/tex]

Answer:

  x = 70

Step-by-step explanation:

To solve for x, use inverse operations to undo the operations performed on x.

__

  5cos(x +8.5)° -1 = 0 . . . . given

  5cos(x +8.5)° = 1 . . . . . . add 1

  cos(x +8.5)° = 1/5 . . . . . divide by 5

  x° +8.5° = arccos(1/5) . . . . take the inverse cosine

  x° = arccos(1/5) -8.5° ≈ 70° . . . . evaluate the expression

The value of x is 70.

Answer:

y = -3x -2

Step-by-step explanation:

Hi there!!

We're given that a line has a slope of -3 and it contains the point (1, -5)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope, we can immediately plug it into the equation.

Replace m with -3 in y=mx+b.

y = -3x + b

Now we need to find b

As the equation passes through the point (1, -5), we can use its values to help solve for b.

Substitute 1 as x and -5 as y:

-5 = -3(1) + b

Multiply

-5 = -3 + b

Add 3 to both sides

-2 = b

Substitute -2 as b into the equation

y = -3x - 2

Hope this helps!

Topic: finding the equation of a line

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Answer:

16mm

Step-by-step explanation:

that's because volume is lwh ( length X width X height)

Purely real numbers are in the form of a+0i, while the Non-real complex numbers are in the form of a+bi.

Purely real numbers are in the form of a+0i, while the Non-real complex numbers are in the form of a+bi.

The given expressions can be simplified in the following manner,

Purely real numbers (a+0i)

Non-real complex number (0+bi)

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Answer:

Step-by-step explanation:

go to BYJU's learning app and get to expert answer

Answer:

see the attachment photo!

Let the price of an adult ticket is x and a child ticket is y .

from the question ,

[tex]6x + 2y = 124 \: \: ...(i) \\ \\ 3x + 5y = 100 \: \: ...(ii)[/tex]

Multiply 2 in eq (ii)

[tex]6x + 10y = 200 \: \: ...(iii)[/tex]

On adding eq (iii) and (i)

[tex]6x + 10y = 200 \\ \\ 6x + 2y = 124[/tex]

we get ,

[tex]8y = 76 \\ \\ y = \frac{76}{8} \\ \\ y = 9.5[/tex]

putting y in eq (i)

[tex]6x + 2y = 124 \\ \\ 6x + 2 \times 9.5 = 124 \\ \\ 6x + 19 = 124 \\ \\ 6x = 124 - 19 \\ \\ 6x = 105 \\ \\ x = \frac{105}{6} \\ \\ x = 17.5[/tex]

The value of x = 17.5 and y = 9.5

Answer:

What is the question?

Step-by-step explanation:

prime: 1, 2, 3, 5

composite: 4, 6

Beto has 2/6 = 1/3 chance of winning

Amanda has 4/6 = 2/3 chance of winning

The polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12. Then the correct option is D.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

According to the fundamental theorem of algebra.

The polynomial function has only exactly 6 roots.

The roots are the value of the variables in the polynomial at which the value of the polynomial is zero.

If the degree of the variable is n then the number of the roots will be n or less than n.

If the number of the roots are 6, then the degree of the variable will be 6 in the polynomial.

Then the polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12.

More about the Algebra link is given below.

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Answer:  

Surface Area: 99.852

Volume: 71.592

Answer:

(f.g)(x) = (f×g)(x)

= (x² + 4x - 6) × ( x + 2)

= x^3 + 2x^2 + 4x^2 + 8x - 6x - 12

= x^3 + 6x^2 + 2x -12

Answer:

7.615773105864

Step-by-step explanation:

[tex]\text{let A and B be the points of coordinates} \ A\left( 3,-9\right) \text{and} \ B\left( 6,-2\right)[/tex]

[tex]AB=\sqrt{\left( 6-3\right)^{2} +\left( -2-(-9)\right)^{2} }[/tex]

     [tex]=\sqrt{\left( 3\right)^{2} +\left( 7\right)^{2} }[/tex]

     [tex]=\sqrt{58} =7.615773105864[/tex]

here i hope this exaple helps but for the time being while i solve it heres this example

if you currently owe $500 on your credit card throughout the month and your current APR is 17.99%, you can calculate your monthly interest rate by dividing the 17.99% by 12, which is approximately 1.49%. Then multiply $500 x 0.0149 for an amount of $7.45 each month.

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

Explanation:

The goal is to get that 1755 degree angle between 0 and 360, so we can refer to the unit circle later.

Subtract off 360 from this until we get to that target

Or a shortcut could be

The angles of 1755 degrees and 315 degrees are coterminal. They point in the same exact direction which is directly southeast in quadrant IV.

Now use the unit circle (see below) to find that

Dividing those two items and simplifying gets us

tan(315) = sin(315)/cos(315) = -1

Then we go from tan(315) = -1 to tan(1755)  = -1

what they have in common is that there both Intergers but What's different is that there -1 off

Answer:

Rate of plane = 250 mph

Rate of wind = 50 mph

Step-by-step explanation:

Answer:

I'm assuming the x at the end is a variable

9, -4

Step-by-step explanation:

If we replace x with 9, we get 81-36=45 which is 45=45 so 9 is one solution.

If we replace x with -4, we get 16-36=-20 which is -20=20 so -4 is the other solution

So, the solutions are 9 and -4.

Hope this helped you! If there is a mistake in my answer, please tell me and I will correct it as soon as possible.

1) ABCD is a parallelogram, [tex]\overline{AC} \cong \overline{BD}[/tex] (given)

2) [tex]\overline{AD} \cong \overline{BC}[/tex] (if the quadrilateral is a parallelogram, both pairs of opposite sides are congruent)

3) [tex]\overline{AB} \cong \overline{AB}[/tex] (reflexive property of congruence)

4) [tex]\triangle ABC \cong \triangle BAD[/tex] (SSS Triangle Congruence Theorem)

5) [tex]\angle DAB \cong \angle CBA[/tex] (CPCTC)

6) [tex]\angle DAB[/tex] and [tex]\angle CBA[/tex] are supplementary (consecutive angles in a parallelogram are supplementary)

7) [tex]m\angle DAB=90^{\circ}, m\angle CBA=90^{\circ}[/tex] (congruent supplementary angles are right angles)

8) [tex]ABCD[/tex] is a rectangle (definition of rectangle)

All the missing statements with the respective reasons are given below.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Statement 1.

ABCD is a parallelogram,

AC ≅ BD

Reason: Given.

Statement 2.

AD ≅ BC

Reason: if the quadrilateral is a parallelogram, both pairs of opposite sides are congruent.

Statement 3.  AB ≅ AB

Reason: reflexive property of congruence.

Statement 4. ΔABC ≅ ΔBAD.

Reason: SSS Triangle Congruence Theorem

Statement 5. ∠DAB ≅ ∠CBA

Reason: CPCTC

Statement 6. ∠DAB and ∠CBA are supplementary

Reason: consecutive angles in a parallelogram are supplementary.

Statement 7.  m∠DAB = 90° and m∠CBA = 90°

Reason: congruent supplementary angles are right angles.

Statement 8. ABCD is a rectangle.

Reason: definition of a rectangle.

Therefore, all the required points are given above.

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