Aiko is finding the sum (4 + 5i) + (–3 + 7i). She rewrites the sum as (–3 + 7)i + (4 + 5)i. Which statement explains the error Aiko made by using a mathematical property incorrectly?

Step-by-step explanation:

Shape A is flipped horizontally onto the x-axis

The new shape is mirroring Shape A

Answer:

V = 200

Step-by-step explanation:

Cylinder

V = pi r^2 h

150 = pi r^2 h

We know that h = r

150 = pi r^2 r

150 = pi r^3

Divide each side by pi

150 /pi = r^3

Take the cube root of each side

( 150 / pi ) ^ 1/3 = r

3.627831679 = r

Rounding to 3.63

Now find the volume of the sphere

V = 4/3 pi  r^3

Replacing r^3 with 150 /pi

V = 4/3 * pi ( 150/pi)

V = 4*150 /3

V = 200

Answer: Negative

Step-by-step explanation:

f(x) = (5x + 1)(4x - 8)(x + 6)

     x = -1/5   x = 2    x = -6

Zeros (in order): -6, -1/5, 2

Now, let's look at the End Behavior of the function.

The leading coefficient is positive (5x)(4x)(x) = +20x³ so the right side of the graph goes toward positive infinity.

The Degree is odd (degree = 3) so the left side is opposite of the right side which means it goes toward negative infinity.

  ------o-------------o--------------o------

        -6             -1/5               2

  --             +                 --               +

y-values for -1/5 < x < 2 is NEGATIVE

The sign of the function f(x) = (5x + 1)(4x − 8)(x + 6) in the interval of -1/5 to 2 will be negative.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x) = (5x + 1)(4x − 8)(x + 6)

The x-intercept of the function will be

(-6, 0), (-1/5, 0), (2, 0)

Then the sign of the function in the interval of -1/5 to 2 will be

Find the value of the function at x = 0, we have

f(x) = (5*0 + 1)(4*0 − 8)(*0 + 6)

f(x) = 1 x (-8) x 6

f(x) = -48

Thus, the value of the function at x = 0, is negative.

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Answer:

Formula 15° × π/180 = 0.2618rad

0.261799

Step-by-step explanation:

Answer:

1 /12 pi

Step-by-step explanation:

To convert degrees to radians, multiply  by pi/ 180

15 * pi/ 180

1 /12 pi

Answer:

The value of x is 30.

We have to find the value of x in the given equation.  

Using distributive property  

We have,

[tex]1/2(x+6)=18\\a.(b+c)=a.b+a.c\\1/2(x+3)=18\\1/2x=15\\x=3[/tex]

other are also solve by this methode;)

The required solution of the expression [tex]1/2(x+6) = 18[/tex] is 30.

To solve the equation using the distributive property and properties of equality. One-half (x + 6) = 18 and value of x to be determined.

The equation is the well-organized link of the variables of two expressions that contain equal between them.

distributive properties are used to evaluate the math problem easily by distributing numbers to the numbers present in parenthesis. eg, if we apply the distributive property of multiplication to solve the expression
a( b + c ) = a.b + a.c

[tex]1/2(x+6) = 18[/tex]
Using distributive property a( b + c ) = a.b + a.c

[tex]1/2.x+1/2*6 = 18\\1/2x+3=18\\1/2x=18-3\\1/2x=15\\x=2*15\\x=30\\[/tex]

Thus, The required solution of the expression [tex]1/2(x+6) = 18[/tex] is 30.

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Answer:

3.47 and 3.21

Step-by-step explanation:

Let us assume the nails length be X

[tex]X \sim N(3.34,0.07^2)[/tex]

Value let separated the top 3% is T and for bottom it would be B

[tex]P(X < T)= 0.97[/tex]

Now converting, we get

[tex]P(Z < \frac{T-3.34}{0.07})= 0.97[/tex]

Based on the normal standard tables, we get

[tex]P(Z < 1.881)= 0.97[/tex]

Now compare these two above equations

[tex]\frac{T-3.34}{0.07} = 1.881 \\\\ T = 1.881 \times 0.07 + 3.34 \\\\ = 3.47[/tex]

So for top 3% it is 3.47

Now for bottom we applied the same method as shown above

[tex]P(Z < \frac{B-3.34}{0.07})= 0.03[/tex]

Based on the normal standard tables, we get

[tex]P(Z < -1.881)= 0.03[/tex]

Now compare these two above equations

[tex]\frac{B-3.34}{0.07} = -1.881[/tex]

[tex]= -1.881 \times 0.07 + 3.34 \\\\ = 3.21[/tex]

hence, for bottom it would be 3.21

Answer: [tex]2.25\sqrt{3}[/tex]

Not sure what you mean by terms of pi, unless you want us to find the area of the sector, not the triangle.

Step-by-step explanation:

Assuming you mean the area of the triangle...

First draw an altitude from the 120 degree angle to the opposite base.  You will find that the altitude will also be a median.  This forms 2 30-60-90 right triangles.  Thus, the height of the altitude is 1.5 and the base of the triangle is 1.5*root3.  Thus, the base of the triangle is [tex]3\sqrt{3}[/tex] and the height is 1.5.  Thus, the area of the triangle is [tex]2.25\sqrt{3}[/tex]

Answer:

a) 3/1 that is 3

b) 8/7

c) the mixed fraction is converted into simple fraction: 3*2+2/3 = 8/3

therefore the reciprocal is 3/8

d) 1/5

e) the mixed fraction is converted into simple fraction: 6*6+1/6 = 37/6

therefore the reciprocal is 6/37.

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Answer:

a. [tex]3[/tex]

b. [tex] \frac{8}{7} [/tex]

c. [tex] \frac{3}{8} [/tex]

d. [tex] \frac{1}{5} [/tex]

e. [tex] \frac{6}{37} [/tex]

Step-by-step explanation:

a. [tex] \frac{1}{3} [/tex]

Just flip the fraction , you will get:

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

[tex] = 3[/tex]

b. [tex] \frac{7}{8} [/tex]

flip the fraction

[tex] = \frac{8}{7} [/tex]

c. [tex]2 \frac{2}{3} [/tex]

The first thing you have to do is that convert mixed fraction into improper fraction

[tex] \frac{8}{3} [/tex]

Flip the fraction

[tex] = \frac{3}{8} [/tex]

d. [tex]5[/tex]

flip the fraction

[tex] = \frac{1}{5} [/tex]

e. [tex]6 \frac{1}{6} [/tex]

Convert mixed fraction into improper fraction

[tex] = \frac{37}{6} [/tex]

Flip the fraction in order to get reciprocal

[tex] = \frac{6}{37} [/tex]

Hope this helps...

Best regards!!

Answer: 1:5

Step-by-step explanation:

Given: The cost of every mirror is proportional to the cube of the mirror's radius.

i.e. [tex]\dfrac{\text{Cost of smallest mirror}}{\text{Cost of largest mirror}}=\dfrac{(\text{radii of smallest mirror}^3)}{\text{(radii of largest mirror)}^3}[/tex]

Their largest mirrors have radii of 5 meters and their smallest mirrors have radii of 1 meter.

Then,

[tex]\dfrac{\text{Cost of smallest mirror}}{\text{Cost of largest mirror}}=\dfrac{1^3}{(5)^3}=\dfrac{1}{125}[/tex]

The ratio of the total cost of 25 of the company's smallest mirrors to the cost of one of the company's largest mirrors will be:

[tex]\dfrac{\text{Cost of 25 smallest mirror}}{\text{Cost of largest mirror}}=\dfrac{25\times 1}{125}=\dfrac{1}{5}[/tex]

Hence, the ratio of the total cost of 25 of the company's smallest mirrors to the cost of one of the company's largest mirrors = 1:5 .

Answer: Choice C

x/w and z/(y+v)

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

Explanation:

All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.

Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).

So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w

x/w is one of the answers

-----------

Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z

Therefore,

sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)

z/(y+v) is the other answer

Side note: triangle ACD is not used at all.

Answer:

[tex]\frac{x}{w}, \: \frac{z}{y+v}[/tex]

Step-by-step explanation:

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

Let’s take triangle ABD, where w is the hypotenuse.

sin ∠ABD = [tex]\frac{x}{w}[/tex]

Let’s take triangle ABC (whole triangle), where y + v is the hypotenuse.

sin ∠ABD = [tex]\frac{z}{y+v}[/tex]

Answer:

[tex]y=-18[/tex]

Step-by-step explanation:

[tex]y=4x+2[/tex] for [tex]x=-5[/tex]

[tex]y=4(-5)+2\\y=-20+2\\y=-18[/tex]

Answer:

y = -18

Step-by-step explanation:

y = 4x+2

Let x = -5

y = 4(-5) +2

y = -20 +2

y = -18

Answer:

3.5

Step-by-step explanation:

I did the test, also, take the people multiply by score, u get 66 total, divided by 19=number of students, is 3.5-ish

The mean for gymnastic score is, 3.5

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Zahara asked the students of her class their gymnastic scores and recorded the scores in the table shown in table.

Now, We get;

The mean for gymnastic score is,

= ((1×0)+(1×1)+(2×2)+(6×3)+(4×4)+(3×5)+(2×6)) / 19

= 3.47

= 3.5

Thus, The mean for gymnastic score is, 3.5

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Step-by-step explanation: A term can be a number, a variable, or a number times one or more variables.

So in this expression, the terms are +2n, +5, -3p, and +4q.

This means that there are 4 terms.

The answer is D - 4 :)

Answer:

120 degrees

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Add all the number then subtract it with 360.

Answer:

5.65%

Step-by-step explanation:

Principal=$600

Time=20 years

FV=600*3=$1800

n=1

r=?

r= n[(A/P)^1/nt - 1]

=1{(1800/600)^ 1/1*20 - 1}

={(3)^1/20-1}

=3^0.05-1

=1.0565-1

=0.0565

rate=0.0565*100

=5.65% to the nearest hundredth percent

Answer:

B

Step-by-step explanation:

In an isosceles triangle, the altitude is the median so the altitude splits the base into two segments with lengths of 5. We notice that x is part of a right triangle with legs of 5 and 12, therefore, using the 5 - 12 - 13 Pythagorean Triple, x = 13.

Answer:

(B) 13

Step-by-step explanation:

This isosceles triangle is broken up into two parts, both are right triangles.

To find the length of a missing side in a right triangle, we use the Pythagorean Theorem - [tex]a^2+b^2=c^2[/tex]. where one of the legs is a, the other leg is b, and the hypotenuse is c.

We know that one of the legs is 12, and since the base of the triangle is 10, the leg of one of the right triangles is 5.

Let's solve.

[tex]5^2+12^2=c^2\\25+144=c^2\\169=c^2\\\\\sqrt{169} =c\\13=c[/tex]

So, c is 13, therefore the hypotenuse is 13, therefore x is 13.

Hope this helped!

Answer:

[tex]\boxed{x=-27, \: x=67}[/tex]

Step-by-step explanation:

There can be two values of x.

The range is largest no. - smallest no.

Range = 64

Let x be the smallest no.

largest no. from the list is 37

37 - x = 64

-x = 64 - 37

x = -27

Let x be the largest no.

smallest no. from the list is 3

x - 3 = 64

x = 64 + 3

x = 67

The needed two values of x are: 67 and -27.

Given sequence of 8 numbers as:

[tex]4, 32, 6, x, 10, 3, 35, 37[/tex]

Given range of above sequence: 64

The range of a sequence is defined as the difference between the maximum and minimum value of the sequence.

Since the value x can assume any value, it have option to be minimum value in the sequence or maximum value in the sequence such that  the range remains at 64.

Case 1: x as minimum value of given sequence:

If so, then the maximum value is 37. Then-

[tex]range = maximum \:value - minimum \:value\\or\\64 = 37-x\\or\\x = -27\\[/tex]

Case 2: x as maximum value of the given sequence:

If so, then the minimum value of the sequence is 3. Then-

[tex]range = maximum \:value - minimum \:value\\or\\64 = x - 3\\or\\x = 67\\[/tex]

Thus the needed two values of x are: 67 and -27.

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Answer:

6 to the north

Step-by-step explanation:

mark as brainliest

Answer:

A. The total number of three-card hands (permutations) that can be made with two aces is 576

B. The actual number of two-ace hands (combinations) you can get from a deck of 52 cards is 288

C. The probability of drawing a three-card hand that includes two aces from a deck of 52 cards is 0.0130

Step-by-step explanation:

A. In order to calculate the total number of three-card hands (permutations) that can be made with two aces we would have to make the following calculation:

total number of three-card hands (permutations) that can be made with two aces=4*3*52

total number of three-card hands (permutations) that can be made with two aces=576.

B. In order to calculate the actual number of two-ace hands (combinations) you can get from a deck of 52 cards we would have to make the following calculation:

actual number of two-ace hands (combinations) you can get from a deck of 52 cards=4C2*48

4C2=4!/2!2!

C2=6

Therefore, actual number of two-ace hands (combinations) you can get from a deck of 52 cards=6*48=288

C. In order to calculate the probability of drawing a three-card hand that includes two aces from a deck of 52 cards we would have to make the following calculation:

probability of drawing a three-card hand that includes two aces from a deck of 52 cards=actual number of two-ace hands (combinations) you can get from a deck of 52 cards/52C3

probability of drawing a three-card hand that includes two aces from a deck of 52 cards=288/22,100

probability of drawing a three-card hand that includes two aces from a deck of 52 cards=0.0130

Answer:

cost of one drink: $1.70

Step-by-step explanation:

P = price of pizza

L = Price of each large drink

Gift certificate discount =$ 7

Net paid= $12.10

P +3L -7 = 12.10

14 +3L -7 =12.10

7+3L =12.10

3L = 12.10 -7 = 5.10

 L = $1.70 for each large drink

hopefully this helped :3

Answer: The equation to model this situation is  3d + $14.00 – $7.00 =     $12.10 and the cost of one large drink is $1.7 .

Step-by-step explanation:

As given

John and 2 friends are going out for pizza for lunch.

They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10.

let us assume that the numbers of large drinks are represented by d .

Than the equation becomes

Total money spend = Number of drinks × d + Pizza cost  - Gift certificate amount .

Putting all the values in the above

12.10 = 3d + 14.00 - 7.00

Simplify the aboves

12.10 = 3d + 14 - 7

12.10 = 3d + 7

12.10 - 7 = 3d

5.1 = 3d

d = $ 1.7

Therefore the equation to model this situation is  3d + $14.00 – $7.00 = $12.10 and the cost of one large drink is $1.7 .

Answer:

If the scale on a map is 5in : 3 miles, it means every 3 inches is 5 miles. 6 inches is 10 miles and so on.

Answer:

Step-by-step explanation:

To find angle B we use tan

tan ∅ = opposite / adjacent

From the question

AC is the opposite

BC is the side adjacent to angle B

So we have

tan B = AC / BC

tan B = 6/9

tan B = 1/3

B = tan-¹ 1/3

B = 18.43°

B = 18° to the nearest hundredth

Hope this helps you

Answer

X=117°

Step-by-step explanation:

Angle on a straight line =180°

101+y=180

y=180-101

y=79°

then: 38+79+z=180

z=180-38-79

z=63°

angle on a straight line=180°

63+X=180

X=180-63

X=117°

Answer:

Candice wants one number to summarize all of the values in the data set, so she should find a measure of center. She can calculate the mean or the median of the data set.

Step-by-step explanation:

Measures of Central tendency is a distinct value that describe a data set by recognizing the central location within that data set. The measures of central tendency are every so often are known as measures of central location. They are also known as summary statistics.  

The three measures of central tendency are:

Mean

Median

Mode

The mean is the average value of the data set.

The median is the middle value of the data, when arranged in ascending or descending order.

The mode of the data set is the value with the highest frequency.

The data collected by Candice is continuous and is measured on an interval scale.

The interval level of measurement classifies and arranges the data set. It also defines a specific difference between each interval of scale.

The measure of central tendency for an interval level of measurement are mean and median.

Thus, the complete sentence is:

"Candice wants one number to summarize all of the values in the data set, so she should find a measure of center. She can calculate the mean or the median of the data set."

Answer:

10s+40m+61l=net profit

Step-by-step explanation:

subtract the value you pay from the value you charge

Answer:

Step-by-step explanation:

(2, -1) & (-1, -2)

(-2+1)/(-1-2)= -1/-3= 1/3 is the slope of the line

Answer: Option C, 1 unit bellow.

Step-by-step explanation:

The residual of a data point is equal to the vertical distance between the point and the regression line

If the data point is above the line, the residual is positive

if the data point is below the line, the residual is negative.

So here we have a negative residual equal to -1

This would mean that our point is 1 unit below the regression line.

Then the correct option is C.

Answer:

The answer is 1 unit below.

Step-by-step explanation:

This is because the residual is the difference between the actual value of a dependent variable & the value predicted by a regression equation. So if the data point has a residual of -1, that means that the data point lies 1 unit below the regression line.

Hey there! I'm happy to help!

The domain is any possible number you can input into the function to get a real output. The domain of h just means the domain of this entire function, which is called h.

Let's look at the answer options.

OPTION A

All real values of x such that x≠0.

The only way to make it so that we do not have a real output is if we get a negative square root. You cannot multiply any number by itself to get a negative number unless you use imaginary numbers, but using imaginary numbers makes our output not real.

Anyways, plugging in 0 would give us √-10, which is not a real number. That part is correct, but this option says ALL REAL NUMBERS except for 0. The problem is is that we can take any number less than ten and plug it in and we would get a negative square root, a fake number. So, this option is incorrect.

OPTION B

All real values of x such that x≥10.

Let's say we use 10 for our x and plug it in. This gives us √0, which is 0, a real output. Anything bigger than this 10 will give us a real output as well, so this option is correct.

We don't even need to check the other options because we have already found the correct answer. C,D, and E are all incorrect though because they include values less ten, which would give us a negative square root, a fake number.

I hope that this helps! Have a wonderful day!