After the first round of a trivia game, Ryleigh’s score is -259 points. During the second round of the game, she earns 348 points. What is her score after the second round? Record your answer on the grid. Then fill in the bubbles.

The midpoint is 26.

Midpoint in this scenario = mean

(23+29)/2 = 26

Answer:

-6

Step-by-step explanation:

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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The Volume of the box is 3.75in³

The volume of the box is dependent on the volume of the cube in it.

To obtain the volume of a cube, we use the relation, V = s³

s = side of the cube

Volume = 0.5³ = 0.125 in³

Number of cubes in box = 30

Volume of each cube × Number of cubes

0.125 × 30 = 3.75 in³

Hence, the volume of the box is 3.75in³

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Answer:

I think it may be - 43 but I'm not 100 percent sure

Answer:

8% of $15,000 = .08 × $15,000 = $1,200

The range of values for the expressions are given by these following compound inequalities:

A compound inequality is a combination of multiple inequalities, at least two, involving operations such as and and or, explained below.

Hence one example of a compound inequality is:

a ≤ x ≤ b.

Which is read as follows:

x is greater or equal than a and less or equal than b.

The smallest possible value is when both a and b are at their lower bounds, hence:

a + b = 2 + 1 = 3.

The greatest possible value is when both a and b are at their upper bounds, hence:

5 + 2 = 7.

Then the range is:

3 < a + b < 7.

Since the ranges of a and b are open intervals, the ranges of the operations will also be composed by open intervals.

The smallest possible value is when both a and b are at their lower bounds, hence:

a x b = 2 x 1 = 2.

The greatest possible value is when both a and b are at their upper bounds, hence:

a x b = 5 x 2 = 10

Then the range is:

2 < ab < 10.

The smallest possible value is when a is at it's lower bound and b is at it's upper bound, hence:

2 - 2 = 0

The greatest possible value is when a is at it's upper bound and b is at it's lower bound, hence:

5 - 1 = 4.

Hence the range is:

0 < a - b < 4.

The smallest possible value is when a is at it's lower bound and b is at it's upper bound, hence:

2/2 = 1.

The greatest possible value is when a is at it's upper bound and b is at it's lower bound, hence:

5/1 = 5.

Hence the range is:

1 < a/b < 5.

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Answer:

D. $27.72

Step-by-step explanation:

Calculation for How much more money will she need to pay for text messages

First step is to the Total cost of sending 204 messages

Total cost=204 messages* $0.18 per text message

Total cost =$36.72

Last step is to compute for How much more money will she need to pay for text messages

Amount to be paid =$36.72-$9.00

Amount to be paid=$27.72

Therefore How much more money will she need to pay for text messages will be $27.72

Answer:

D

Step-by-step explanation:

9514 1404 393

Answer:

  an = 2n^2

Step-by-step explanation:

First differences are ...

  8 -2 = 6

  18 -8 = 10

  32 -18 = 14

  50 -32 = 18

And second differences are constant at 4:

  10 -6 = 14 -10 = 18 -14 = 4

This means the sequence can be described by a degree 2 polynomial. The coefficient of the n^2 term is half the second difference: 2. We find nothing else needs to be added to the squared term.

  an = 2·n^2

Answer: $70.73

Step-by-step explanation:

Answer:

147 and 3

Step-by-step explanation:

This means that their sum is 75 * 2 = 150 and their product is 21 * 21 = 441.

The two numbers that work for this is 147 and 3.

The way you can find this is by making a list of factors of 441 and then seeing which ones add up to 150

We can just set up a equation. Let the 2 numbers be a and b.

(a+b)/2=75

Simplify first equation a+b=150

Now second equation

\(\sqrt[2]{a*b}\)=21

Now we can simplify that getting

ab=441

Let's isolate a in the first simplified equation.

a=150-b

Now let's substitute into second simplified equation.

(150-b)*b=441

Now we can solve.

-b^2+150b=441

b^2-150b+441=0

Now factor, this might be hard considering how good are you at spotting the factors.

(b-3)(b-147)=0

b=3 or 147

Respectively a=147 or 3 in the opposite order.

Hope this helps!

\(\blue{\boxed{\bold{\mathbb{SOLUTION}}}}\)

\(\cos C=\dfrac{CE}{AC}\\=\dfrac{8}{\sqrt{8^2+3^2}}\\=\dfrac{8}{\sqrt{64+9}}\\=\dfrac{8}{\sqrt{73}}\\=\boxed{0,936}\)

\(\aqua{\boxed{\mathfrak{Thank \: You}}}\\\aqua{\boxed{\boxed{\mathfrak{answered \: by: \: akbarsdtazm}}}}\)

The radius of a circle with circumference of 4π/3 is equal to 2/3

The circumference of a circle is the same as the total length of the circle boundary. It can also be called the perimeter of a circle.

The circle in question have its circumference as

4π/3.

circumference of circle = 2πr

4π/3 = 2πr

divide through by π

4/3 = 2r

r = 4/(3×2) {by cross multiplication}

r = 4/6

radius = 2/3.

Therefore, the radius of a circle with circumference of 4π/3 is equal to 2/3

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The radius of a circle with a circumference of 4π/3 is equal to 2/3 units.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, we have the following;

Circumference of circle, C = 2πr

4π/3 = 2πr

4π = 6πr

Radius, r = 4/6 = 2/3 units.

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Answer:

(a) Mean and Median of type A

\(\bar x = 2145.47\)

\(Median = 966\)

(b) Mean and Median of type B

\(\bar x = 531.73\)

\(Median = 366\)

(c) The claim by the public health worker is true.

Step-by-step explanation:

Given

\(Type\ A: 38\ 100\ 186\ 199\ 253\ 380\ 595\ 966\ 1611\ 2638\ 3845\ 4931\ 5183\ 5367\ 5890\)

\(Type\ B: 59\ 95\ 116\ 143\ 156\ 225\ 271\ 366\ 495\ 696\ 851\ 1060\ 1140\ 1101\ 1202\)

\(n = 15\)

Solving (a): The mean and median of A.

Mean is calculated using:

\(\bar x = \frac{\sum x}{n}\)

\(\bar x = \frac{38 +100 +186 +199+ 253+ 380+ 595+ 966 +1611 +2638 +3845+ 4931+ 5183 +5367 +5890 }{15}\)

\(\bar x = \frac{32182}{15}\)

\(\bar x = 2145.47\)

The median is calculated using:

\(Median = \frac{n+1}{2}th\)

\(Median = \frac{15+1}{2}th\)

\(Median = \frac{16}{2}th\)

\(Median = 8th\)

The 8th item is: 966

So:

\(Median = 966\)

Solving (b): The mean and median of B.

Mean is calculated using:

\(\bar x = \frac{\sum x}{n}\)

\(\bar x = \frac{59 +95 +116+ 143+ 156+ 225+ 271+ 366+ 495 +696+ 851+ 1060+ 1140 +1101+ 1202}{15}\)

\(\bar x = \frac{7976}{15}\)

\(\bar x = 531.73\)

The median is calculated using:

\(Median = \frac{n+1}{2}th\)

\(Median = \frac{15+1}{2}th\)

\(Median = \frac{16}{2}th\)

\(Median = 8th\)

The 8th item is: 366

So:

\(Median = 366\)

(c) The claim by the public health worker is true.

To do this, we simply compare the mean value of both types.

For Type A

\(\bar x = 2145.47\)

For Type B

\(\bar x = 531.73\)

The claim is:

\(Type\ A > 2 * Type B\)

\(2145.47 > 2 * 531.73\)

\(2145.47 > 1063.46\)

Since the inequality is true, then the claim is true

Answer:

76°

Step-by-step explanation:

starting fromX ,the line coming from the north pole and ending at the line coming from Y while moving in clockwise direction is the bearing of Y from X

= 180-104=76°

Answer:

2<=x<5

Step-by-step explanation:

first subtract one from all pieces, then divide by four. because you never divide by a negative so switching of sides is needed. Two is less than or equal to x which is less than five.

Answer:

The interest rate is 8% p.a.

Step-by-step explanation:

Simple interest changes by the same amount each year (per annum)

So in this case, it is $480 per year ($4800/10 years)

480/6000 = is 8%

The interest rate is 8% p.a.

Answer:

hey I hope it helps you

R=8%

Step-by-step explanation:

P=$6,000, T=10yrs and I=$4,800 and R=?

I=PRT/100

4800=6000xRx10/100

cross multiply

60000R=480000

divide both sides by 60000

R=8%

The simplified expression involving complex numbers is given as follows:

5 + 5i.

Complex numbers are number that have a real and an imaginary part, and are defined as follows:

z = a + bi.

In which:

The basic relation of complex numbers is given as follows:

i² = -1.

The fraction for this problem is given as follows:

(2 + i)(4 - 2i)/(1 + i).

The numerator is simplified as follows:

(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.

Hence the fraction is of:

10/(1 + i).

To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:

10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.

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Answer:

Answers 3 ((3x4)x2) and 6 (3x(4x2)) are equal to eachother.

Step-by-step explanation:

1. 3(4+2)=18

2. 3+(4x2)=11

3. (3x4)x2=24

4. (3x4)+2=14

5. (3+4)+2=9

6. 3x(4x2)=24

3. and 6. are the only two answers that have the same outcome, therefore equaling eachother.

The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.

To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:

1 1 3 8 19 41

0 2 5 11 22

Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.

Let's check if the differences between consecutive terms are square numbers:

2 = 1²

5 = 2² + 1²

11 = 3² + 2²

22 = 4² + 3²

Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:

41 + 57 = 98

Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.

Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.

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The slope of the tangent line is:

a = (df(x1)/dx)

The slope of the normal one is:

a' = -1/(df(x1)/dx)

For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.

So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:

df(x1)/dx

And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:

a*(df(x1)/dx) = -1

a = -1/(df(x1)/dx)

Where df/dx reffers to the derivative of f(x).

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Area of Δ ABC is 27/4

What is the area of the figure ?

To find the area of a  figure or other irregular-shaped figure, divide it into simple, non overlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the figure.

Given that,  the area of square WXYZ is 25 cm².

so, area of square WXYZ = (side length of square)²

⇒ 25  cm² = (side length of square)²

∴ The side lengths of square WXYZ must be 5 cm

First, you should determine the height of ΔABC.

The distance from O to line WZ must be 2.5 cm, since line WX = 5 cm, and the distance from O to Z is half of that.

The distance from line WZ to line BC must be 2, since the side lengths of the small squares are 1, and there are two squares from line WZ to line BC.

So, the height of ΔABC must be 4.5, which is 2.5 + 2.

The length of BC can be determined by subtracting 2 from 5, since the length of WZ is 5, and the two squares in the corners give us 2 together.

This gives us the base for ΔABC, which is 3.

Then, area of Δ ABC = 1/2 (3×4.5)

                                   = 27/4

Hence, area of Δ ABC is 27/4

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To answer this question, we can proceed as follows:

Part A

The x-intercepts are the values for x when y = 0. These values pass through the x-axis.

In this case, we have that:

f(x) = (x+2)(x-5) ---> f(x) = y = 0 = (x+2)(x-5)

Then, we have that:

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

To find the values for which this expression is equal to zero, we have that:

x + 2 = 0 or,

x - 5 = 0

Then, the two x-intercepts of this function are:

x + 2 = 0 ---> x = -2

x - 5 = 0 ---> x = 5

Therefore, we have x = -2, and x = 5, and the x-intercepts in coordinates are:

(-2, 0) and (5, 0) (option 3)

Part B

To find the y-intercept(s), we need to have x = 0 in the function. That is, the y-intercept is a value for y when x = 0 (the function passes through the y-axis). Then, we have:

f(x) = (x+2)(x-5) ---> for x = 0, we have:

y = f(0) = (0 + 2)(0 - 5) = 2*(-5) = -10.

Therefore, we have that y = -10, and the y-intercept is (0, -10).

Answer: remember to attach the drawing!

Step-by-step explanation:

Angle ACF and angle ECD are acute angles. Therefore, option C is the correct answer.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

An angle which is measuring less than 90 degrees is called an acute angle.

From the given figure,

∠ACE+∠ECD=90°

Since, angles ∠ACE and ∠ECD adds up to 90°, both are acute angles.

∠BCD=90°

∠BCE=∠BCD+∠ECD

∠BCE=90°+∠ECD

∠ACD=90°

Therefore, option C is the correct answer.

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To solve the savings plan balance, we have to calculate the interest for 19 months. The formula for calculating interest for compound interest is given below:$$A = P \left(1 + \frac{r}{n} \right)^{nt}$$where A is the amount, P is the principal, r is the rate of interest, t is the time period and n is the number of times interest compounded in a year.

The given interest rate is 11% per annum, which will be converted into monthly rate and then used in the above formula. Therefore, the monthly rate is $r = \frac{11\%}{12} = 0.0091667$.

The monthly payment is $PMT = $250. We need to find out the amount after 19 months. Therefore, we will use the formula of annuity.

$$A = PMT \frac{(1+r)^t - 1}{r}$$where t is the number of months of the plan and PMT is the monthly payment. Putting all the values in the above equation, we get:

$$A = 250 \times \frac{(1 + 0.0091667)^{19} - 1}{0.0091667}$$$$\Rightarrow

A = 250 \times \frac{1.0091667^{19} - 1}{0.0091667}$$$$\Rightarrow

A =250 \times 14.398$$$$\Rightarrow A = 3599.99$$

Therefore, the savings plan balance after 19 months with an APR of 11% and monthly payments of $250 is $3599.99 (approx).

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well, we know is a square, so that means all sides are equal, so if we just find one side and multiply it by 4, that's our perimeter, hmmmm let's use the points of K(-2 , 0) and J(3 , 5)

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ K(\stackrel{x_1}{-2}~,~\stackrel{y_1}{0})\qquad J(\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ KJ=\sqrt{(~~3 - (-2)~~)^2 + (~~5 - 0~~)^2} \implies KJ=\sqrt{(3 +2)^2 + (5 -0)^2} \\\\\\ KJ=\sqrt{( 5 )^2 + ( 5 )^2} \implies KJ=\sqrt{ 25 + 25 } \implies KJ=\sqrt{ 50 } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE perimeter} }{4\sqrt{50} ~~ \approx ~~ }\text{\LARGE 28.3}\)

Answer:

The last graph at the bottom.

Step-by-step explanation:

Answer:

the very last one btw.

Step-by-step explanation:

Answer: search

Step-by-step explanation: look up the question on your browser and the answer will pop up

\(\tt Step-by-step~explanation:\)

We could see that the size of both images does not change, so it is not a dilation. The image is not mirrored either, so it is not a reflection. Finally, the image does not seem to change place that much from the preimage, so it should not be a translation, either. That means our answer is a rotation, because the image rotated about 180º.

\(\large\boxed{\tt Our~final~answer:~Rotation}\)

Answer:

33%

Step-by-step explanation:

he sold 1/3

Answer:

21

Step-by-step explanation:

9-(-12) = 9+12 = 21 ( product of two minus signs is plus)

Answer:

11

Step-by-step explanation:

Okay so this used to confuse me when I was younger but It's actually pretty simple, just imagine the subtraction sign, the parentheses, and the negative sign in front of the two turns into a plus sign. It's basically addition with more steps so instead of seeing this - ( - you can see this +. I hope this helps.