the unemployment rate in America was around 4%. Write this percent as a ratio and do not simplify.

Given:

Steven wrote this equation:

\(4\times 18=418\)

To find:

The error in Steven's reasoning and then find the correct product.

Solution:

We have,

\(4\times 18=418\)

This statement is incorrect because we cannot write product directly as Steven wrote.

We need to multiply the place values of each digit of first number with the place values of second number and then we need to add the resulted values.

\(4\times 18=4\times (10+8)\)

\(4\times 18=4\times 10+4\times 8\)

\(4\times 18=40+32\)

\(4\times 18=72\)

Therefore, the correct product is 72.

Answer:

Hi! A piecewise function is a function defined by multiple sub-functions, or pieces of different functions over different intervals. Piecewise definition is a way of expressing the function and is not actually integral to the function itself.

f(x) = |x - 2| is an absolute value function. As a piecewise function, it's written like this:

f(x) = {x - 2, x ≥ 2

        {-x + 2, x < 2

Hope this helps! Have a great day.

Answer:

\(f(g(-3))=-25\)

Step-by-step explanation:

\(g(-3)=2(-3)^2+7(-3)-3=2(9)-21-3=18-24=-6\\f(g(-3))=4(-6)-1=-24-1=-25\)

Answer:

c= 6103515625w/2187x

w= x in (c)/ in (3) + In (6561/ 6103515625)/ in (3)

no clue but I tryed

Answer:

Simplify:-4(x+1)+3x

=-4x-4+3x

=-1x-4

Evaluate when x=1:

-1(1)-4

=-1-4

=-5

Answer:

-5

Step-by-step explanation:

-4(1x+1)+3(1x)

-4x - 4 + 3x

-1 - 4 = -5

The sum of the two complex numbers will give:

(-4 + i) + (10 - 5i) = 6 - 4i

So the correct option is the third one.

Let's assume we have two complex numbers which are:

A = a + bi

B = c + di

The sum between these two complex numbers is:

A + B = (a + bi) + (c + di)

Taking i as a common factor we can rewrite:

(a + bi) + (c + di) = a + c + (b + d)i

And that is the general sum.

Here we want to solve:

(-4 + i) + (10 - 5i)

Again, if we take i as a common factor we can rewrite:

-4 + 10 + (1 - 5)*i

6 - 4i

So the correct option is the third one.

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Answer:

50 students

Step-by-step explanation:

Answer:

Fifty students total are on the field trip.

Step-by-step explanation:

Represent the number of students by s.  Then 0.40s = 20, and s = 50.

Fifty students total are on the field trip.

The new dimensions of the pictures are 2.5 inches by 3.5 inches.

Chris did image resizing of Career Week, which originally measured 5 inches by 7 inches, by a factor of 1/2. This means that he reduced each dimension of the pictures by half of its original size.

To calculate the new dimensions, he multiplied each original dimension by the scaling factor of 1/2.  

If the pictures were resized by a factor of 1/2, it means that each dimension was reduced to half of its original size.

The original dimensions of the pictures were 5 inches by 7 inches.

Resizing each dimension by a factor of 1/2 gives:

5 inches x 1/2 = 2.5 inches

7 inches x 1/2 = 3.5 inches

Therefore, the new dimensions of the pictures are 2.5 inches by 3.5 inches.

This means that the new pictures are significantly smaller than the original ones, which may affect their resolution and quality.

However, depending on the intended use of the pictures, a smaller size may be suitable or even desirable.

Learn more about image resizing.

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Answer: x/3 ==> C

Step-by-step explanation:

(2x/3)^1/2 * (x/6)^1/2=

(2x/3 * x/6)^1/2=

(2x^2/18)^1/2=

(2x^2)^1/2 / 18^1/2=

(2x^2)^1/2 / (2*9)^1/2=

(2x^2)^1/2 / 3*2^1/2=

2^1/2 * (2x^2)^1/2 / 3*2=

(2(2x^2))^1/2 / 6=

(4x^2)^1/2 / 6=

4^1/2 * (x^2)^1/2 / 6=

2x/6=x/3 ==> C

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

La fórmula para calcular la longitud de una circunferencia es:

Longitud = π * Diámetro

En este caso, si el diámetro es de 32 cm, podemos calcular la longitud de la siguiente manera:

Longitud = π * 32 cm

El valor de π (pi) es una constante que representa la relación entre la circunferencia de un círculo y su diámetro. Usualmente, se aproxima a 3.14159.

Por lo tanto, la longitud de la circunferencia sería:

Longitud ≈ 3.14159 * 32 cm

Calculando el resultado:

Longitud ≈ 100.53096 cm

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

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Answer:

Yes, the answers are equivalent.

Step-by-step explanation:

The answers are equivalent because when adding a positive to something it does not change the value of the number. So by adding the + in front of the -1 the value of -1 does not change in the equation.

Hope this helps!!

Answer:

Reuben will have to pay $19,183.77 when he starts to pay the loan off after 3 years.

Step-by-step explanation:

There are 3 important parts to this equation:

1) 16,902

2) 4.5%

3) 3 years

First, let's find the interest rate in decimal form. This is easy enough to do.

take the interest rate (4.5%) and divide by 100. You can do this in your head by moving the decimal point but I will just write it out for the example:

4.5/100 = 0.045

Now that we have that number. we want to get the dollar amount for the interest. this is done by taking the loan amount and multiplying it by the decimal form of the percentage:

16,902 * 0.045 = 760.59

Since the interest rate is NOT compounding the rest is simple.

760.59 * 3 = 2,281.77

2,281.77 + 16902 = 19,183.77

Hope this helps.

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

that the answer

calculate them

Every rectangle with four congruent sides is a square -> True

Every rhombus is a quadrilateral -> True

Every square is a parallelogram -> True

Every quadrilateral is a square -> False.

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.

here, we have,

we know that,

Every rectangle with four congruent sides is a square -> True

Every rhombus is a quadrilateral -> True

Every square is a parallelogram -> True

Every quadrilateral is a square -> False.

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Answer:

1017.36cm^3

Step-by-step explanation:

9^2pi*4=1017.36

Answer:

B /second bubble -3 1/3 is 10/3 and 4/9 is a reciprocal 9/4

Answer:

Step-by-step explanation:

Step-1: Convert the mixed fractions into improper fractions.

Step-2: Multiply the improper fractions.

[The minuses on both fractions cancelled out because when there are 2 minuses multiplying each other, the minuses cancel out.]

Step-3: Convert the improper fraction into mixed fraction.

Hence, the answer is 9 1/5.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

Step-by-step explanation:

i do not know

Answer:

0.1

Step-by-step explanation:

27.4 x 0.1 = 2.74

Answer:

a) $93, $117.80, $86.80, $68.20

b) $365.80

Step-by-step explanation:

a)

Add 12 hours to each p.m. time to make the subtraction of hours easier.

Also, use decimal numbers to do the subtraction. Remember that 0:30 means 30 minutes which is 0.5 hour, so 7:30 is the same as 7.5 as a decimal.

Monday: 8:00 to 15:30

15:30 - 8:00 = 1.5 - 8 = 7.5 hours

7.5 hours * $12.40/h = $93

Wednesday: 7:30 to 17:00

17:00 - 7:30 = 17 - 7.5 = 9.5 hours

9.5 hours * $12.40/h = $117.80

Friday: 9:00 to 16:00

16:00 - 9:00 = 16 - 9 = 7 hours

7 hours * $12.40/h = $86.80

Saturday: 10:30 to 16:00

16:00 - 10:30 = 16 - 10.5 = 5.5 hours

5.5 hours * $12.40/h = $68.20

b) Add all the daily amounts above.

$93 + $117.80 + $86.80 + $68.20 = $365.80

Answer:

Step-by-step explanation:

4 x 14= 56

circumference and area of the circular flower bed are 62.85 ft and 314.28 ft^2 respectively. 314.28 ft*2.

step by step explanation :

since we have given that radius of the circular flower bed =10 feet circumference means fencing or perimeter of the circular flower bed

circumference of the circular flower bed is give by

\(C=2\pi r\\C=2 X \frac{22}{7}X10\\C=62.85 ft\)

area of the circular flower bed is given by

\(area=\pi r^{2} \\area=\frac{22}{7}x10x10\\area=314.28 ft^{2}\)

hence circumference and area of the circular flower bed are 62.85 ft and 314.28 \(ft^{2}\) respectively

Given that N is the incenter of △ABC, NS = 4.

Given the image where:

NQ = 2x

NR = 3x − 2

NQ = NR = NS (equidistant from the incenter)

Thus:

2x = 3x - 2

2x - 3x = -2

-x = -2

x = 2

NQ = NS = 2x

NS = 2(2)

NS = 4

Therefore, given that N is the incenter of △ABC, NS = 4.

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Answer:

A receipt is a record of a transaction that apready happened.

Using Normal distribution,

Mean of the sampling distribution of samples is 62 and

Standard deviations of the sampling distribution of means is 0.71

We have given the data about the speeds of vehicles on strech highway at time of weekend and week days.

Mean of speed of vehicles (μ) = 62

Standard deviations (σ) = 5

sample size (n) = 50

we have to calculate the mean and standard deviations of sampling distribution of means.

Normal distribution, let X be Random variable

X ~ N ( µ = 62 , σ = 5 )

The mean (μX-bar) and standard deviations (σX-bar) of sample mean (X-bar) satisfying

μX-bar = μ

and σX-bar = σ/√n

=> μX-bar = 62

and σX-bar = 5/√50 = 0.707 ~ 0.71

so, required Mean of sampling distribution of means is 62 and required standard deviations of the sampling distribution of means is 0.71 .

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Answer:

cube

cuboid

cylindrical

sphere

cone

Answer:

b

Step-by-step explanation:

b says age less than 18, which is the people who can't vote.

Hope this helps! Please give brainliest!

Answer:

b) age < 18

Step-by-step explanation:

age < 18 means anyone less than 18, not including 18.

It's not C because the symbol there means less than 18, or equal to 18. So C is not correct.

And A and D are not correct for obvious reasons, they have greater than symbols.