If Kristen got a 72% on her test that had 25 questions, how many questions did she answer correctly?

Sin is negative where as cos is positive in the 4th quadrant.

Step-by-step explanation:

Sin, cos and tan are all positive in the 1st quadrant. Sin is only positive in the 2nd quadrant. Tan is only positive in the 3rd quadrant.Cos is only positive in the 4th quadrant.

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Keywords: graphs, sin, cos, quadrant

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The graphs of sin and cos, while similar in shape and period, are shifted horizontally due to their phase difference. This directly affects their signs in different quadrants, revealing their interconnected nature and dependence on the unit circle representation.

Similarities in Graphs:

Shape: Both sine and cosine graphs share the same sinusoidal wave pattern, meaning they oscillate up and down between their maximum and minimum values.

Period: Both functions have the same period of 2π radians or 360 degrees, meaning they complete one full cycle within this interval.

Amplitude: Both have an amplitude of 1, meaning they oscillate between -1 and 1 on the y-axis.

Shift and Relationship between Signs:

Phase Shift: The cosine graph is essentially the sine graph shifted to the left by π/2 radians (or 90 degrees). This explains why their peaks and troughs don't coincide perfectly.

Signs in Quadrants: This phase shift plays a crucial role in determining the signs of sin and cos in different quadrants:

Quadrant I (0° to 90°): Both sin and cos are positive as they increase in value.

Quadrant II (90° to 180°): Sin remains positive as it continues increasing, but cos becomes negative as it decreases.

Quadrant III (180° to 270°): Both sin and cos are negative as they decrease in value.

Quadrant IV (270° to 360°): Sin becomes positive as it increases, but cos remains negative as it continues decreasing.

Underlying Connection:

These relationships can be further explained by their definitions based on the unit circle:

Sine: sin(θ) represents the y-coordinate of a point on the unit circle when the angle θ is measured from the positive x-axis counterclockwise.

Cosine: cos(θ) represents the x-coordinate of the same point.

Therefore, as θ moves around the circle, the signs of sin and cos change based on their positions relative to the axes.

Final answer:

To find the value of n² + 5 when n = 3, you substitute 3 for n in the expression to get 3² + 5, which simplifies to 9 + 5, resulting in a final value of 14.

Explanation:

To evaluate the expression n² + 5 when n = 3, we simply substitute the value of n into the expression
1. Substitute 3 for n: (3)² + 5
2. Calculate the square of 3: 3² = 9
3. Add 5 to the result: 9 + 5 = 14
Therefore, the evaluated expression n² + 5 when n = 3 is equal to 14.

Answer:

If its written as the fourth root of (81^3) the answer is 27.

Answer:20000

Step-by-step explanation:

30+1000+4000

Answer:

The value of r=[tex]\frac{-106}{47}[/tex]

The value of x=[tex]\frac{83}{32}[/tex]

Step-by-step explanation:

Given that,

A) [tex]\frac{2r-2}{7r+10} = \frac{9}{8}[/tex]

Now,

[tex]\frac{2r-2}{7r+10} = \frac{9}{8}[/tex]

8(2r-2)=9(7r+10)

16r-16=63r+90

-16-90=63r-16r

-(16+90)=47r

-106=47r

r=[tex]\frac{-106}{47}[/tex]

B) [tex]\frac{x+4}{9} = \frac{3(x-2)-1}{5}[/tex]

Now,

[tex]\frac{x+4}{9} = \frac{3(x-2)-1}{5}[/tex]

5(x+5)=9[3(x-2)-1]

5x+25=9[3x-6-1]

5x+25=9[3x-7]

5x+25=27x-63

25+63=27x+5x

83=32x

x=[tex]\frac{83}{32}[/tex]

Answer:

f(x)<=-1/3x+1

Step-by-step explanation:

so to test this you can do

0<=-1/3(0)+1

0<=1

so it's true

Answer:

y [tex]\leq[/tex] [tex]\frac{-1}{3}x[/tex] + 1

Step-by-step explanation:

To find the inequality represented by the graph, we need to find the linear equation that represents the blue line.

As we can see, the:

y intercept: (0, 1)

x intercept: (3, 0)

So the slope of the equation is:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

= [tex]\frac{0-1}{3-0}[/tex] = [tex]\frac{-1}{3}[/tex]

So use the slope and the slope-point formula, we find the linear expression

The standard form is: y = mx+ b

<=> y = [tex]\frac{-1}{3}[/tex] x + b

Substitute the point (0, 1) to find b, we have:

b= y - [tex]\frac{-1}{3}[/tex] x

<=> b= 1 - 0 =1

So the linear equation is: y = [tex]\frac{-1}{3}[/tex] x + 1

After that, we need to take a test point form the shaded area and evaluate the expression. Let the point be: (1, 2), we have:

2 = [tex]\frac{-1}{3} *1[/tex] +1

<=> 2=[tex]\frac{2}{3}[/tex]

We know that 2 > [tex]\frac{-1}{3}[/tex]  this means that the left inequality sign is ≥ , so the  inequality represented by the graph:

y [tex]\leq[/tex] [tex]\frac{-1}{3}x[/tex] + 1

Answer:

The Proof is given below.

Step-by-step explanation:

Given:

[tex]\overline{HF}[/tex]  bisect ∠ EHG.i.e

∴ ∠EHF ≅ ∠ GHF

[tex]\overline{EH} \cong \overline{GH}[/tex]  

To Prove:

[tex]\overline{EF} \cong \overline{GF}[/tex]  

Proof:

In  Δ EHF and Δ GHF

    EH ≅ GH     ………............{Given}

∠ EHF ≅ ∠ GHF     …………..{EF bisect ∠ EHG as given above}

     HF ≅ HF     ………............{Reflexive Property}

Δ EHF ≅ Δ GHF …................{ By Side-Angle-Side test}

∴ EF ≅ GF........{corresponding parts of congruent triangles (c.p.c.t).}

[tex]\overline{EF} \cong \overline{GF}[/tex]  ....... PROVED

Answer:

The solution in the attached figure

see the explanation

Step-by-step explanation:

we have

[tex]y < -\frac{1}{2}x+2[/tex]

The solution of the inequality is the shaded area below the dashed line

[tex]y=-\frac{1}{2}x+2[/tex]

The slope of the dashed line is negative [tex]m=-\frac{1}{2}[/tex]

The y-intercept of the dashed line is the point (0,2)

The x-intercept of the dashed line is the point (4,0)

using a graphing tool

The solution in the attached figure

Remember that

Any point that lie on the shaded area is a solution of the inequality and if a point is a solution of the linear inequality, then the point must satisfy the inequality

Answer:

Your answer choices are:

(2, 3)

(2, 1)

(3, –2)

(–1, 3)

Step-by-step explanation:

YOUR ANSWER IS

(3, -2)

I hope this helps!

Answer:

Step-by-step explanation:

[tex](4x+4)(ax-1)-x^2+4\qquad\text{use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(4x)(ax)+(4x)(-1)+(4)(ax)+(4)(-1)-x^2+4\\\\=4ax^2-4x+4ax-4-x^2+4\qquad\text{combine like terms}\\\\=(4a-1)x^2+(-4+4a)x+(-4+4)\\\\=(4a-1)x^2+(4a-4)x\\\\\text{Given expression is equvalent to}\ bx.[/tex]

[tex](4a-1)x^2+(4a-4)x=bx\\\\(4a-1)x^2+(4a-4)x=0x^2+bx\\\\\text{Therefore}\\\\4a-1=0\ \text{and}\ 4a-4=b\\\\4a-1=0\qquad\text{add 1 to both sides}\\\\4a=1\qquad\text{divide both sides by 4}\\\\a=\dfrac{1}{4}\\\\\text{Substitute to the second equation and solve for}\ b:\\\\4\left(\dfrac{1}{4}\right)-4=b\\\\1-4=b\\\\-3=b\to b=-3[/tex]

Answer:

Add 7 black beads

Step-by-step explanation:

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)     b : 3

                                  Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3     Both sides divisible by 3; reduce ratio

= 3 : 1        Correct ratio

There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore we need to add 7 black beads.

To make the ratio of black to white beads 3:1, you need to add 1 more black bead.

To make the ratio of black to white beads 3:1, we need to determine how many more black beads need to be added. Currently, the ratio is 2:3, which means for every 2 black beads, there are 3 white beads. Let's say we have 2x black beads and 3x white beads. To make the ratio 3:1, we need to have 3 black beads for every 1 white bead. This means we need to add x more black beads. Setting up the equation 2x + x = 3(3x), we can solve for x to find out how many more black beads are needed.

Simplifying the equation, we get 2x + x = 9x. Combining like terms, we have 3x = 9x. Subtracting 3x from both sides, we get 0 = 6x. Dividing both sides by 6, we find that x = 0. Since we need an integer value for x, it means we need to add 1 more black bead to make the ratio 3:1.

Therefore, you need to add 1 more black bead to make the ratio of black to white beads 3:1.

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Answer: 27

Step-by-step explanation:

2/3x-7=11

2/3x=18

1/3x=9

x=27

Answer:

The actual speed of the car is either 57 mph or 63 mph

Step-by-step explanation:

Given as :

The measured speed o the car = 60 mph

The percentage error in speedometer = 5 %

Let The actual speed of car = x mph

Now, percentage error = [tex]\dfrac{\textrm actual value - \textrm measured value}{\textrm measured value}[/tex] × 100

So, [tex]\frac{5}{100}[/tex] = [tex]\frac{x - 60}{60}[/tex]

or,  [tex]\frac{5}{100}[/tex] × 60 = x - 60

Or, 3 = x - 60

∴  x = 63 mph

Hence The actual speed of the car is either 57 mph or 63 mph . Answer

The correct statement describing the actual speed of the car is: The actual speed of the car is either 57 mph or 63 mph.

To understand why this is the correct answer, let's calculate the range of possible actual speeds given the percent error of the speedometer.

The speedometer shows a speed of 60 mph with a percent error of 5%. The percent error formula is given by:

[tex]\[ \text{Percent Error} = \left( \frac{\text{Error}}{\text{True Value}} \right) \times 100\% \][/tex]

Here, the true value is the actual speed of the car, and the error is the difference between the measured speed (60 mph) and the true value. We can rearrange the formula to solve for the true value:

[tex]\[ \text{True Value} = \frac{\text{Measured Value}}{1 \pm \text{Percent Error}} \][/tex]

Since the percent error is 5%, we have:

[tex]\[ \text{True Value} = \frac{60 \text{ mph}}{1 \pm 0.05} \][/tex]

Now, we calculate the true value for both the lower and upper bounds of the speedometer reading:

For the lower bound (actual speed could be less than the measured speed):

[tex]\[ \text{True Value}_{\text{lower}} = \frac{60 \text{ mph}}{1 + 0.05} = \frac{60 \text{ mph}}{1.05} \approx 57.14 \text{ mph} \][/tex]

For the upper bound (actual speed could be more than the measured speed):

[tex]\[ \text{True Value}_{\text{upper}} = \frac{60 \text{ mph}}{1 - 0.05} = \frac{60 \text{ mph}}{0.95} \approx 63.16 \text{ mph} \][/tex]

Rounding these values to the nearest whole number, we get:

[tex]\[ \text{True Value}_{\text{lower}} \approx 57 \text{ mph} \][/tex]

[tex]\[ \text{True Value}_{\text{upper}} \approx 63 \text{ mph} \][/tex]

Therefore, the actual speed of the car could be either 57 mph or 63 mph, which corresponds to the third option provided in the question.

Answer:

First one

Step-by-step explanation:

Answer:

32 Dollars

Step-by-step explanation:

160 divided by 5 equals 32

To find a pricing option with the same unit price as 4 lemons for $0.79, we calculated the unit price per lemon as $0.1975. None of the provided pricing options match this unit price, as they are all significantly higher.

We need to determine the equivalent unit price per lemon to match the store's offer of 4 lemons for $0.79. First, we calculate the unit price for one lemon by dividing the total price of the bag by the number of lemons. So, $0.79 divided by 4 gives us a unit price of $0.1975 per lemon.

Now, let's use this unit price to check which pricing option results in the same unit price. We must find a scenario where each lemon costs $0.1975.

An access fee of $4 and a per-unit price of $4 with 2 units bought would have a unit price of $4, which is too high.

An access fee of $9 and a per-unit price of $4 with 3 units bought would also have a unit price of $4, again too high.

An access fee of $24 and a per-unit price of $3 with 4 units bought would have a unit price of $3, which is also higher than $0.1975.

For the bundle size of 4 units with a bundle price of $36, we would have a unit price of $9 ($36 divided by 4), which is much higher.

The scenario with an access fee of $32 and a per-unit price of $16 for 4 units is also incorrect since the unit price is $16.

None of the given pricing options have a per-unit price of $0.1975.

This would be C. 60$

This is because if she got the bag for 50% off, 30 divided by 2 is 15$, 45 divided by 2 is 22.5, 60 divided by 2 is 30$ so option C. Would be your answer.

Answer:

12%

Step-by-step explanation:

So we know the ratio of left-handed men to men is 3:25. We also know that percent is out of one hundred, so we can do (ratios are essentially fractions) 3/25*4/4+ 12/100. Converting 12/100 to a percent should be simple and you get an answer of 12%

Please let me know if this was correct

Answer:

Her mouth

right ?!

that was not hilarious but okey

Answer:

She forgot to shut her dum dum bubble gum chromosome flip phone no home smash mouth up.

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

gabrielle is 6 years older than mikhail and gabrielle's age is 64 soooo therefore 64 minus 6 is 59yo

Answer:

The two pyramids have the same volume.

Step-by-step explanation:

What determines the volume of a pyramid is the Base Area, and its height. Since in these two figures, both bases measure the same (congruent) and their respective heights are equal. Then when we compare the volumes of these two solids, the triangular and the Hexagonal pyramid have the same volume, as it follows:

Then:

[tex]\\V=\frac{1}{3}*B*h\\V_{\bigtriangleup \: Triangular\: base}=\frac{1}{3}*15*5\Rightarrow V_{\bigtriangleup \: pyramid}=15 \:in^{3}\\V_{\bigtriangleup \: hexagonal \:base}=\frac{1}{3}*15*5\Rightarrow V_{\bigtriangleup \: hexagonal \:base}=15 \:in^{3}[/tex]

However, each surface area measure differently.

Answer:

Please give brainliest :((

1. r = 0

2. x = 0

3. v = -1

4. a = 1

Step-by-step explanation:

1. -18 + 36r = -18 + 4r

-18 + 32r = -18

32r = 0

r = 0

2. -8x - 14 = -14 - 28x + 4x

-8x - 14 = -14 - 24x

16x -14 = -14

16x = 0

x = 0

3. 5 -8v - 5 = -4 - 12v

-8v = -4 - 12v

4v = -4

v = -1

4. 3a - 18 = -5a - 7 - 3a

3a - 18 = -8a - 7

11a = 11

a = 1

Answer:

25 can.                            

Step-by-step explanation:

Here is the complete question: You are making juice from concentrate. The directions on the packaging say to mix  1 can of juice with 3 cans of water to make orange juice. How many 12 fluid ounces cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?

Given: Ratio to make juice with concentrate:water is 1:3.

As required we need to prepare 200 6 ounce serving of Orange juice.

∴ [tex]200\times 6= 1200\ ounce[/tex]

Let there be x ounce of concentrate and 3x ounce of water to make 1200 ounce of orange juice.

Now, [tex]x+3x= 1200[/tex]

∴ x= 300 ounce

Next, lets find out how many cans of 12 ounce is required.

[tex]\frac{300}{12} = 25\ cans[/tex]

∴ 25 cans is required to make 1200 ounce of orange juice.

The number 64 can be expressed in the form of base powers as 64=8^2, 64=4^3, and 64=2^6.

The number 64 can be expressed as powers of different bases in several ways. The most common notations are as follows: 64 = 8^2, which means that 8 multiplied by itself results in 64. 64 = 4^3, which means 4 multiplied by itself three times equals to 64, and finally, 64 = 2^6, where 2 is multiplied by itself six times to produce 64. Each of these forms express the number 64 in a different base.

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Answer:

The answer is x = -17/6.

Step-by-step explanation:

Given:

5 1/3 + x = 2 1/2 . Using least common denominator.

Now, to solve the equation:

[tex]5\frac{1}{3}+x=2\frac{1}{2}[/tex]

[tex]=\frac{16}{3} +x=\frac{5}{2}[/tex]

Subtracting both sides from 16/3 we get:

[tex]x=\frac{5}{2}- \frac{16}{3}[/tex]

Now, the least common denominator of 2 and 3 is 6.

So, we using this we calculate:

[tex]x=\frac{5\times 3-16\times 2}{6}[/tex]

[tex]x=\frac{15-32}{6}[/tex]

[tex]x=\frac{-17}{6}[/tex]

Therefore, the answer is x = -17/6.

Answer:

$87

Step-by-step explanation:

to find discounted price, you multiply the original price by the decimal equivalent of the discount. so,

[tex]145 \times .40 = 58[/tex]

so that's 40% of 145 but now you gotta take the 40% off the original price so,

[tex]145 - 58 = 87[/tex]

There are $87 the weed eater cost during the blowout sale.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

This weekend the hardware store is having a blowout sale, where everything is discounted 40%.

And, A weed eater originally sells for $145.

Now, The discounted price is,

⇒ 40% of 145

⇒ 40/100 × 145

⇒ $58

Thus, The weed eater cost during the blowout sale = $145 - $58

                                                                               = $87

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Answer:

The answer is four.

Step-by-step explanation:

II + II= IIII

Answer:

the answer is 4

Step-by-step explanation:

if you have 2 candy bars and are given 2 more you will get 4

Answer:

It is the same answer.

Step-by-step explanation:

579.8 X 0.001= 0.5798

579.8/10^3 (or 1000)=0.5798

If you use a calculator it's easy.

Hope this helped. :D

Following are the calculation to the given expression:

Given:

[tex]\bold{579.8 \times 0.001= 579.8 \div 10^3}[/tex]

To find:

Prove=?

Solution:

[tex]\to \bold{579.8 \times 0.001= 579.8 \div 10^3}[/tex]

Solve L.H.S part:

[tex]\to \bold{579.8 \times 0.001}\\\\\to \bold{0.5798}[/tex]

Solve R.H.S part:

[tex]\to \bold{ 579.8 \div 10^3}\\\\\to \bold{ \frac{579.8}{ 10^3}}\\\\\to \bold{ \frac{579.8}{ 1000}}\\\\\to \bold{ 0.5798}\\[/tex]

Therefore, the L.H.S= R.H.S, so, the answer is the same.

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Answer:

9 bathrooms

Step-by-step explanation:

9 is their greatest common factor.

give each bathroom 1 bar of soap and 2 toilet paper rolls

Step-by-step explanation:

Since has 9 bars of some and 18 rolls of paper then he can fully stock nine because there are more rolls then bars