Jenny wants to buy a new dress for her first school dance. She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $

Answer: Option C

"The sides opposite and adjacent to theta are the same length."

Step-by-step explanation:

By definition the tangent of an angle [tex]\theta[/tex] is written as:

[tex]tan(\theta) = \frac{opposite}{adjacent}[/tex]

Where:

"opposite" is the side opposite the [tex]\theta[/tex] angle

"adjacent" is the side that contains the angle [tex]\theta[/tex] and the angle of 90 °.

In this case we know that

[tex]tan(\theta) = \frac{opposite}{adjacent} = 1[/tex]

If [tex]\frac{opposite}{adjacent} = 1[/tex] then [tex]opposite = adjacent[/tex]

Finally the answer is the option C

"The sides opposite and adjacent to theta are the same length."

Answer:

C. The sides opposite and adjacent to theta are the same length.

Step-by-step explanation:

Given :  tanθ = 1

recall tanθ = [tex]\frac{opposite}{adjacent}[/tex]

the only way for [tex]\frac{opposite}{adjacent}[/tex] to equal 1, is that the numerator is the same value as the denominator,

hence  the answer is

C. The sides opposite and adjacent to theta are the same length.

Answer:

  12 friends

Step-by-step explanation:

Fill in the given number and solve for x.

  855 = 5x +795 . . . . . the total fee was 855

  60 = 5x . . . . . . . . . . . subtract 795

  12 = x . . . . . . . . . . . . . divide by 5

The number of friends you brought was 12.

Answer:

26,102,52

Step-by-step explanation:

Let x be the smallest angle

x+76 is the second angle

2x is the third angle

The sum of all three angles is 180 degrees

x+ (x+76) + 2x = 180

Combine like terms

4x+76 = 180

Subtract 76 from each side

4x+76-76 = 180-76

4x =104

Divide by 4

4x/4 =104/4

x =26

x+76 =26+76 =102

2x = 2*26 = 52

Answer:

  15x + 50 = 10x + 75

Step-by-step explanation:

The cost at Black Diamond for ski rental and x hours of skiing is ...

  50 +15x

The cost at Bunny Hill for ski rental and x hours of skiing is ...

  75 +10x

These costs will be equal when ...

  15x + 50 = 10x + 75

Answer:

C: 15x + 50 = 10x + 75

Step-by-step explanation:

Answer:

  C, B, A

Step-by-step explanation:

From smallest to largest, the side lengths are ...

The shortest side is opposite the smallest angle, so the angles, smallest to largest, are C, B, A.

___

Comment on side naming

Side c is opposite vertex (and angle) C, so is between vertices A and B. Thus the names AB and c are both names for the side of the triangle opposite angle C.

Answer:

C, B, A

Step-by-step explanation:

Answer:

= (100)^3(1/4)^3

= 15,625  i think im not that good at math but i passed

Step-by-step explanation:

Hi there! My name is Zalgo and I am here to help you out on this gracious day. If n=3, a=100 and b=1/4, the equation should look like "100^3 * 1/4^3". The answer would be 15625.

I hope that this helps! :D

"Stay Brainly and stay proud!" - Zalgo

Answer:

Option B is correct.

Step-by-step explanation:

y=4x^2-6x+1

Solving the quadratic equation:

4x^2-6x+1

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

a=4, b=-6 and c=1

[tex]x=\frac{-(-6)\pm\sqrt{(-6)^2-4(4)(1)}}{2(4)}\\x=\frac{6\pm\sqrt{36-16}}{8}\\x=\frac{6\pm\sqrt{20}}{8}\\x=\frac{6+\sqrt{20}}{8} \,\,and\,\, x=\frac{6-\sqrt{20}}{8}[/tex]

So, it has 2 solutions,

Option B is correct.

Answer:

  96 squares

Step-by-step explanation:

The number of squares is ...

  (wall area)/(square area) = (24 ft²)/(1/4 ft²) = 24×4 = 96 . . . . squares

Answer:

96 squares

Step-by-step explanation:

ANSWER

P'(2,7)

EXPLANATION

When we reflect a point in the y-axis, we negate the x-coordinates.

The rule for reflection across the y-axis is

[tex](x,y)\to (-x,y)[/tex]

The given point, P has coordinates (-2,7)

To obtain the coordinates of the image P', we negate the x-coordinate of P(-2,7).

[tex]P( - 2,7) \to \: P'( - - 2,7)[/tex]

[tex]P( - 2,7) \to \: P'(2,7).[/tex]

Answer:

(2, 7)

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y) → (- x, y)

Hence

P(- 2. 7) → P'(2, 7)

Answer:

Step-by-step explanation:

Slope-intercept form is ...

  y = mx + b

Comparing your equation to this pattern, you can see that your equation is already in this form, with ...

In this form, the coefficient of x (which is m) is the slope of the line. Thus your slope is -3/4. The added constant (which is b) is the y-intercept, the value of y when x=0. Your y-intercept is -2. Expressed as the coordinates of a point, the y-intercept is (x, y) = (0, -2).

ANSWER

B. 310°

EXPLANATION

The sum of angles in a circle is 360°

From the diagram, the measure of arc SY is 50°

The measure of arc STY plus the measure of arc SY is 360°

To find the measure of arc STY, we subtract 50° from 360° to get:

Measure of arc STY

[tex] = 360 \degree - 50 \degree[/tex]

This simplifies to

[tex]310 \degree[/tex]The correct answer is B 310°

Answer:

The correct answer is option B.  310°

Step-by-step explanation:

From the figure we can see that, a circle with center o.

And an arc SY with central angle 50°

To find the measure of arc STY

From the figure we can write,

arc SY + arc STY = 360

measure of arc STY = 360 - measure of arc SY

 = 360 - 50 - 310°

Therefore the  correct answer is option B.  310°

1. How much more iced tea did Pablo have than Rosa?

Pablo has 1 1/36 quarts of ice tea more than Rosa.

2.  Pablo gave Rosa 15% of his iced tea today. How much iced tea do each of them have now? Write your answer in fraction form.

      Iced tea given

      Pablo iced tea

      Rosa iced tea

Pablo has 3 7/9 quarts of iced tea and Rosa has 4 1/12 quarts.

Answer:

1225

Step-by-step explanation:

hihi. So the equation for MoE is (z*) * SE. The z* for a 95% Confidence is one you should have memorized but for repeatability sake you can always just do an inverse Norm to find the z* for these types of applications. To do so, you can always type this command into your calculator: invNorm(conf + (1-conf)/2, 0, 1).

(When I say conf here I am referring to the confidence level as a decimal).

All that's left is the Standard Error or SE to be short. Since you gave a p* estimate then we can use the equation for SE when dealing with proportions/percents which is sqrt(p(1-p) / n) where p is the proportion and n is the sample size, which we are solving for. Once you have this established it's a basic multi-step solve for n which comes out to be 1225 after rounding.

A side note, the included picture is a bit messy due to my refusal to round when doing these kinds of problems. Rounding errors are more common than you think

The sample size would be 1225 needed to construct a margin of error of 2% with 95% confidence and this can be determined by using the formula of margin of error.

Given :

The following calculation can be used to determine the sample size needed to construct a margin of error of 2% with 95% confidence.

[tex]\rm MOE = z \times \sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]0.02=1.96\times \sqrt{\dfrac{0.15\times 0.85}{n}}[/tex]

[tex]\left(\dfrac{0.02}{1.96}\right)^2= \dfrac{0.15\times 0.85}{n}[/tex]

[tex]n = \dfrac{(1.96)^2\times 0.15 \times 0.85}{(0.02)^2}[/tex]

[tex]n = 1224.51[/tex]

n = 1225  (round off)

The sample size would be 1225 needed to construct a margin of error of 2% with 95% confidence.

For more information, refer to the link given below:

https://brainly.com/question/23012921

Answer:

[tex]f(3)=1.9[/tex]

Step-by-step explanation:

we have

[tex]f(x)=\frac{14}{7+2e^{-0.6x}}[/tex]

we know that

f(3) is the value of the function for the value of x equal to 3

so

substitute the value of x=3 in the function

[tex]f(3)=\frac{14}{7+2e^{-0.6(3)}}=1.9[/tex]

Answer:

1.9

Step-by-step explanation:

fX)=14/7=2e^-0.6x = 1.9

Answer:

ITS 100% A

Step-by-step explanation:

Answer:

Option 2.

Step-by-step explanation:

Let as consider x be the  air conditioning unit's actual capacity and y is the maximum variance in British thermal units (Btu).

It is given that an air conditioning unit promises to have a cooling capacity of 6,000 British thermal units (Btu).

We need to find the graph that could be used to determine the variance levels that would cause a unit to be rejected because of its cooling capacity.

It means the maximum variance is less than or equal to absolute difference of actual capacity and 6,000.

[tex]y\leq |x-6000|[/tex]

The related equation of this inequality is

[tex]y=|x-6000|[/tex]

It is a V-shaped curve with vertex (6000,0) and y-intercept (0,6000).

The related curve is a solid V-shaped curve because the points on curve included in the solution set.

The shaded region lie below the curve because the sign of inequality is ≤.

Therefore the correct option is 2.

Answer:

TM = (3,-9,-9)

The magnitude of TM = 3√19

Step-by-step explanation:

Given T=(-5,8,3) and M = (-2,-1,-6)

TM is the difference between the vector M and the vector T

So,

TM = M - T = (-2,-1,-6) - (-5,8,3) = (-2+5 , -1-8 , -6-3) = (3,-9,-9)

The magnitude of TM = The distance of TM = [tex]\sqrt{3^2+(-9)^2+(-9)^2}=\sqrt{9+81+81}=\sqrt{171} = \sqrt{9*19} =3\sqrt{19}[/tex]

So, TM = (3,-9,-9) and |TM| = 3√19

Answer:

xy=8

Step-by-step explanation:

The equation for inverse variation is

xy = k where k is the constant of variation

4*2 = k

8=k

The equation is

xy=8

Answer:

The list is -1,1,-2,2,-4,4,-8,8,-1/2,1/2

Step-by-step explanation:

Possible rational zeros are the constant factors/leading coefficient factors

So factors of -8:  -1,1,-2,2,-4,4,-8,8

So factors of 2:  -1,1,-2,2

Now put every number in the first list over every number in the second list:

The possible rational zeros are:

-1/1=-1

1/1=1

-2/1=-2

2/1=2

-4/1=-4

4/1=4

-8/1=-8

8/1=8

-1/2

1/2

I didn't write any number twice.... like -8/2 is just -4 which I already wrote

The list is -1,1,-2,2,-4,4,-8,8,-1/2,1/2

Answer:

±1/2, ±1, ±2, ±4 and ±8

Step-by-step explanation:

The Rational Zeros Theorem is defined as when a polynomial has all coefficients  integer, then any rational zeroes of the polynomial have to be in the form ±p/q, where q is the coefficient of the highest power of the variable and p is declared  as the constant term.

Furthermore, a rational  "zero" is for a polynomial.  when the polynomial is p(x), a "zero" is a value of x when  p(x) = 0

Secondly, we have to know  what a "rational zero" is.  A "rational zero" is a zero that its number is rational.  Some polynomials  have some rational zeros and some irrational zeros, and some only have zeros that are rational numbers.

By applying this theorem,  all  possible factors of the constant term must be considered . In this example they are 1, 2, 4, and 8.  After that Then you consider all possible factors of the coefficient of the highest power of the variable. we take the x³ term, whose coefficient is 2. the  the possible factors of 2 are 1 and 2.

Therefore, the possible list of rational zeroes are given below

 ±1/1 = ±1

±1/2

±2/1 = ±2

±2/2 = ±1

±4/1 = ±4

±4/2 = ±2

±8/1 = ±8

±8/2 = ±4

By removing the duplicates, we arrive at the following,

±1/2, ±1, ±2, ±4 and ±8

y > 5x-1, because it is just a greater than sign, the shaded area would be to the left of a dotted line.

y ≤ x +3, because the sign is less than or equal to, the line is solid and the shaded area would be to the right.

Combine the shaded areas would make Graph B. the correct answer.

Answer:

CosA/CosB =1

CosA = Adjacent side/Hypotenuse

=AC/AB = 3/4.24

Cos B =  Adjacent side/Hypotenuse  

= BC/AB = 3/4.24

CosA/CosB = (3/4.24)/(3/4.24) = 1

The value of CosA/CosB = 1

Answer:

1

Step-by-step explanation:

trust lol

Answer:

  A)  0.2x +1 = x . . . . x is the volume of liquid in the bottle (liters)

  B)  0.25 liters of milk are in the bottle

Step-by-step explanation:

It is often convenient to define a variable as the answer to the question. Here, the question says "find the total number of liters of milk and water in the bottle", so that is the definition of our variable, x.

A) The problem statement tells us that 20% of the liquid is milk, so that amount is 0.2x (as the hint says). Then the sum of milk volume and water volume is the total volume:

  0.2x + 1 = x . . . . . . . an equation in one variable that can find total volume

We can solve this equation by subtracting 0.2x, then dividing by the coefficient of x.

  1 = 0.8x

  1/0.8 = x = 1.25 . . . the total number of liters of milk and water is 1.25

__

B) The number of liters of milk is 0.2x, so is 0.2·1.25 = 0.25

  There are 0.25 liters of milk in the bottle.

Answer:

i would say b

Step-by-step explanation:

Answer:

The correct option is B.

Step-by-step explanation:

The given graph represents the sales of sweaters and gloves at her store for the past ten winter weeks.

If the scatter points lie near to a straight line and the slope of the line is positive, then there is a strong positive linear correlation between two variables.

r=1 means strong positive correlation.

r=0 means no correlation.

r=-1 means strong negative correlation.

From the figure it is clear that the scatter points lie near to a straight line and the slope of the line is positive. So, there is a positive linear correlation between the sales of sweaters and gloves.

Therefore the correct option is B.

Answer:

  D.Divide the first equation, −4x + 8y = 16, by 2.

Step-by-step explanation:

All you have to do is look at the effect of the proposed action on the constant on the right to tell which answer choices are incorrect.

Answer:

D.Divide the first equation, −4x + 8y = 16, by 2.

Step-by-step explanation:

−4x + 8y = 16

2x + 4y = 8

Take the first equation and divide it by 2

−4x/2 + 8y/2 = 16/2

-2x + 4y = 8

Your answer is D. y = 36

We can find this by just rearranging the equation firstly:

2 + √4y - 3 = 11

√4y - 1 = 11

√4y = 12

Now we can simplify √4y, because 4 2², so you get 2√y :

2√y = 12

√y = 6

We can now square both sides to get the equation as "y ="

y = 36

I hope this helps! Let me know if you have any questions :)

Answer:

It's B.

Step-by-step explanation:

That is B because there are no duplicate x-values in the ordered pairs.

D is a set of numbers, not a function.

Answer:

[tex]\boxed{\text{B. 13}}[/tex]

Step-by-step explanation:

1. Find the equation of the parabola

The vertex is at (0, 0), so the axis of symmetry is the y-axis.

The graph passes through (7, 7), so it must also pass through (-7,7).

The vertex form of the equation for a parabola is

y = a(x - h)² + k

where (h, k) is the vertex of the parabola.

If the vertex is at (0, 0),  

h = 0 and k = 0

The equation is

y = ax²

2. Find the value of a

Insert the point (7,7).

7 = a(7)²

1 = 7a

a = ⅐

The equation in vertex form is

y = ⅐x²

3. Calculate the length of the segment when y = 6

[tex]\begin{array}{rcl}6 & = & \dfrac1{7}x^{2\\\\42 & = & x^{2\\x & = & \pm \sqrt{42}\\\end{array}[/tex]

The distance between the two points is the length (l) of line AB.

A is at (√42, 6); B is at (-√42, 6).

l = x₂ - x₁ = √42 – (-√42) = √42 + √42 = 2√42 ≈ 2 × 6.481 ≈ 13.0

[tex]\text{The length of the segment joining the points of intersection is }\boxed{\mathbf{13.0}}[/tex]

Answer:

Step-by-step explanation:

Let's start with a function first.  The domain of a function is all the x values that are covered by the graph of the function; the range is all the y values that are covered by the graph of the function.

In order to graphically find the inverse of a function, you literally switch the x and y variables and replot them.  For example if a point on your function is

(3, -1), then the point on its inverse is (-1, 3).  Because of this, you interchange the domains and the ranges.  Therefore, the domain of a function is the range of its inverse, and the range of a function is the domain of its inverse.

The domain of the inverse function f⁻¹(x) will be (c, d) and the range of the inverse function f⁻¹(x) will be (a, b).

The domain means all the possible values of x and the range means all the possible values of y.

Let the function be f(x).

Let the domain of the function f(x) is (a, b) and the range of the function f(x) is (c, d).

The inverse function of f(x) will be f⁻¹(x).

Then the domain of the inverse function f⁻¹(x) will be (c, d) and the range of the inverse function f⁻¹(x) will be (a, b).

More about the domain and range link is given below.

https://brainly.com/question/12208715

#SPJ2

By substitution of formula, the expression of principle P is P = I/(r*t) .

Substitution of formula is a method to find any parameter from the given expression by substituting the required value from the expression or equation mentioned.

Given expression is I = Prt .

Substituting the parameter of principle(P) from the above expression -

P = I/(r * t)

Thus, by substitution of formula, the expression of principle P is P = I/(r*t) .

To learn more about substitution of formula, refer -

https://brainly.com/question/1310288

#SPJ2

Answer:

  A)  CUB

Step-by-step explanation:

Of the suggested planes, only CUB contains both points C and T.

___

Comments on the other answer choices

BED contains point T, but not C

ACE contains point C, but not T

ABE contains neither C nor T

Answer:

A) CUB

Step-by-step explanation: