Triangle ABC is rotated 180º using the origin as the center of rotation.

On a coordinate plane, triangle A B C has points (negative 4, negative 3), (negative 5, negative 2), (negative 3, negative 2). Triangle A prime B prime C prime has points (4, 3), (5, 2), (3, 2).

Which sequence of transformations will produce the same result?

a
a reflection over the x-axis and then a reflection over the y-axis
b
a translation up 4 and then a translation right 6
c
a translation up 4 and then a reflection over the y-axis
d
a translation right 6 and then a reflection over the x-axis

Answer:

I think it's D

Step-by-step explanation:

The number never goes over 0 so there is no need to put anything above 0

Answer:

the answer is D. The second arrow he drew should have started at -15 instead of 0.

Step-by-step explanation:

was on a test I took and got 100

Answer:

80 books = $400

Step-by-step explanation:

We have been given that two datasets arranged in descending order are: [tex]\{8, x, 4,1\}[/tex] and [tex]\{9, y, 5,2\}[/tex]. We are asked to find the value of [tex](y-x)^2[/tex], if the medians of the two given datasets are equal.

First of all, we will arrange our given data sets in ascending order.

[tex]\{1,4,x,8\}[/tex] and [tex]\{2,5,y,9\}[/tex]

Since our data sets have 4 data points, so median will be average of middle two terms.

[tex]\frac{4+x}{2}[/tex] and [tex]\frac{5+y}{2}[/tex]

Now we will equate both median as we are told that median of both data sets are equal.

[tex]\frac{5+y}{2}=\frac{4+x}{2}[/tex]

Cross multiply:

[tex]2(5+y)=2(4+x)[/tex]

Divide both sides by 2:

[tex]\frac{2(5+y)}{2}=\frac{2(4+x)}{2}[/tex]

[tex]5+y=4+x[/tex]

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

[tex]y-x=-1[/tex]

Let us square both sides of our equation.

[tex](y-x)^2=(-1)^2[/tex]

[tex](y-x)^2=1[/tex]

Therefore, the value of [tex](y-x)^2[/tex] would be 1.

Answer:

MRCORRECT has answered the question

Step-by-step explanation:

Inhibiting new infections to reduce the number of cases at any given time—known as "flattening the curve"—allows healthcare services to better manage the same volume of patients.

Answer:

I believe it means to slow down the virus spreading to other people and to stay safe, avoid contact, and wash your hands to stop too many people from going into the hospital.

Step-by-step explanation:

Answer:

180 Passenger Car Tires and 5 Tractor Tires should be produced in order to maximize profit.

Step-by-step explanation:

Here, we can form two equations from the given situation.

First, we are given that the total raw tube units are 1000. And 5 units are required for passenger car tire, while 20 units are required for tractor tire. So, the equation becomes:

5 x + 20 y = 1000   -------- eqn (1)

where,

x = no. of passenger car tires produced

y = no. of tractor tires produced

Another condition is given that, maximum labor cost should be $ 15,000. Since, the labor cost is $80 for a passenger tire and $120 for a tractor tie. Thus, the equation becomes:

80 x + 120 y = 15000   -------- eqn (2)

Solving eqn (1) and eqn (2), simultaneously, we get:

x = 180

y = 5

Therefore,

No. of Passenger Car Tires Produced = x = 180

No. of Tractor Tires Produced = y = 5

Answer:

Assuming this is a 45 - 45 - 90 right triangle, The answer would be B) Two sides have the same length, which is less than the length of the third side

Hence statements stated true false along with reason

A triangle is a three-sided polygon with three edges and three vertices in geometry. The sum of a triangle's interior angles equals 180 degrees is the most significant feature of a triangle.

Triangle of Isosceles: Triangle with Obtuse Angle

Triangle Inequality in the Scalene Triangle

Triangle Surface Area: Triangle with Sharp Angle

Triangle with Right Angles: Triangle Form of Pascal...

Given a triangle and statements related to it let's check

Each side has a different length.

-This statement can't always be true as in equilateral triangle all sides are equal

Two sides have the same length, which is less than the

length of the third side.

-this statement is correct but when it is a right angles triangle where other two anges are 45degrees each then this can't be true.

The three sides have the same length.

-this statement is true for equilateral triangle

D. The sum of the lengths of two sides is equal to the

length of the third side.-

-This statement is true when we talk of only right angled triangle

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Answer:

349.6

Step-by-step explanation:

P= 2(72.3) + 2(102.5)

Answer:

349.6

Step-by-step explanation:

Answer:

A park ranger at a large national park wants to estimate the mean diameter of all the aspen trees in the park. The park ranger believes that due to environmental changes, the aspen trees are not growing as large as they were in 1975. (a) Data collected in 1975 indicate that the distribution of diameter for aspen trees in this park was approximately normal with a mean of 8 inches and a standard deviation of 2.5 inches. Find the approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches.

Step-by-step explanation:

Let X be a random variable which represents the diameters of aspan trees of a park in 1975.

Given that,  X ~ N(8, 2.52)

Mean (μ) = 8 inches

Standard deviation (σ) = 2.5 inches

We have to obtain P(X < 5.5 inches)

We know that if X ~ N(μ, σ²) then, X-M Z=1 ~ N(0,1)

P(X< 5.5) =    P( X- μ < 5.5 - μ)

                           σ         σ

P(X<5.5) = P(Z < 5.5 – 8  )

                               2.5

P(X<5.5) = P(Z < -1)

Using "pnorm" function of R we get, P(Z < -1) = 0.1587

:: P(X < 5.5) = 0.1587

The probability that a randomly selected Aspen  tree in the park in 1975 would have a diameter less than 5.5 inches is 0.1587.

Answer:

0

Step-by-step explanation:

they are on the bed

The total legs on the floor excluding chicken is 50 legs

From the given question, the following animals have 4 legs

dogs, cats, girraffe and cows

Duck and chickens both have 2 legs

The total number of legs on the floor = 4(2) + 4(4) + 1(4) + 5(4) + 1(2)

Total number. = 8 + 20 + 22
Total number = 50legs

Hence the total legs on the floor excluding chicken is 50 legs

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Answer:

log_10(x) - log_10(100000)

Step-by-step explanation:

[tex]log_{10}(\frac{x}{100000} )\\log_{10}(x) -log_{10}(100000)\\[/tex]

Using the quotient property, log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000).

WE can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.

Thus,

[tex]\dfrac{a}{\frac{b}{c}} = a \times \dfrac{1}{\frac{b}{c} } = a \times \dfrac{c}{b} = \dfrac{a \times c}{b}[/tex]

We have to Use the quotient property to rewrite;

[tex]log_{10} \dfrac{x}{(100,000)}[/tex]

SO, [tex]log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000)[/tex]

Therefore, Using the quotient property, log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000).

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Answer:

The value of P is 20 .

Step-by-step explanation:

Firstly, you have to create an expression in terms of p using the information :

[tex] \frac{p}{10} = 2[/tex]

Next, you have to multiply both sides by 10 :

[tex] \frac{p}{10} \times 10 = 2 \times 10[/tex]

[tex]p = 20[/tex]

Answer:

The answer would be twenty.

Step-by-step explanation:

P = 10 x 2

P = 20

Answer:

A sample size of 657 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

In the past, 19% of all homes with a stay-at-home parent had the father as the stay-at-home parent.

This means that [tex]\pi = 0.19[/tex]

(a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03?

A sample size of n is needed.

n is found when [tex]M = 0.03[/tex]

Then

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.19*0.81}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.19*0.81}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.19*0.81}}{0.03}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.19*0.81}}{0.03})^{2}[/tex]

[tex]n = 656.91[/tex]

Rounding up to the nearest whole number.

A sample size of 657 is needed.

Answer:

It will take 12 years using simple interest

Step-by-step explanation:

2,500 x 1.7% = 42.5

42.5 x 12 + 510

2500 +510 +3010

Answer:

9π or 28.27 cm

Step-by-step explanation:

The circumference formula is 2πr or dπ. The diameter is 9 cm so we multiply 9 with pi to get the answer.

The value of the circumference of the given circle is 9π cm OR 28.278 cm

From the question, we are to determine the circumference of the circle.

The circumference of a circle can be calculated by using the formula,

C = πd

Where C is the circumference of the circle

and d is the diameter

From the diagram,

d = 9 cm

Therefore,

Circumference of the circle = π × 9

Take π = 3.142

Then,

Circumference of the circle = 28.278 cm

Hence, the value of the circumference of the given circle is 9π cm OR 28.278 cm

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Answer:

9043.20

Step-by-step ex planation:

V=π[tex]r^2[/tex]h

V= π [tex](12)^2[/tex] (20)

V=2880(π=3.14)

V=9043.2 and in hundreths that would be 9043.20

Answer:

  a = ln(2b)

Step-by-step explanation:

Divide by 2 and take the natural log.

  e^a = (4b)/2 = 2b

  a = ln(2b)

Answer:

12

Step-by-step explanation:

Just substitute 60 for a and divide it by 5

Ta Da!!

Answer:

He can run 8 miles in one hour.

Step-by-step explanation:

We have,

Jose can run 1 1/3 miles in 1/6 of  an hour.

We need to find how far he can run in one hour.

[tex]1\dfrac{1}{3}\ \text{miles}=\dfrac{1}{6}\ \text{hour}[/tex]

Now using unitary method,

[tex]1\ \text{hour}=\dfrac{4}{3}\times 6\ \text{miles}[/tex]

or

[tex]1\ \text{hour}=8\ \text{miles}[/tex]

So, he can run 8 miles in one hour.

Answer:

x < 18 - 10

x < 8

Step-by-step explanation:

Answer:

8 > x

Step-by-step explanation:

-10 > x- 18

Isolate the variable, x. Note the inequality sign, treat it like an equal sign; what you do to one side, you do to the other. Add 18 to both sides:

-10 (+ 18) > x - 18 (+18)

-10 + 18 > x

Simplify. Combine like terms:

(-10 + 18) > x

18 - 10 > x

8 > x

8 > x is your answer.

~

Answer:

3

Step-by-step explanation:

(8x + 28) / ((x − 1) (x + 2) (x + 3)) = A / (x − 1) + B / (x + 2) + C / (x + 3)

Multiply both sides by (x − 1) (x + 2) (x + 3).

8x + 28 = A (x + 2) (x + 3) + B (x − 1) (x + 3) + C (x − 1) (x + 2)

If x = 1:

8 + 28 = A (3) (4)

36 = 12A

A = 3

Answer:

80

Step-by-step explanation:

I just did this and its right!

Answer:

80

Step-by-step explanation:

step-by-step explanation is xy xyz wyz xyz 80

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: hourly wage of a high school student

X~N(μ;σ²)

X[bar]= $8.25

σ= $0.25

For a 95% CI for the average hourly wage for 1 high school student:

For this exercise you have to consider the sample size n=1

a) The margin of error of the CI is calculated as:

d= [tex]Z_{1-\alpha /2}[/tex] * σ

1-α: 0.95 ⇒ α:0.05

1-α/2:0.975

[tex]Z_{1-\alpha /2}= Z_{0.975}= 1.96[/tex]

d= 1.96 * 0.25= 0.49

b)

The formula for the interval is

X[bar] ± [tex]Z_{1-\alpha /2}[/tex] * σ

[8.25 ± 0.49]

[7.76; 8.74]

With a 95% you'd expect the interval $[7.76; 8.74] to include the average hourly wage of one high school student in Illinois.

c)

Te calculated interval is $ [7.76; 8.74] the value $9.15 does nor fall within that acceptable range.

I hope this helps!

Answer:

The first one

Horizontal axis: Number of computers (in millions):

Vertical axis: Advertising Dollars (in millions):

Step-by-step explanation:

Since we have given that

Number of computers expected to sell = 40  millions

Cost price of internet advertising = $5 million

According to the graph, we can see that

40 millions is the y-coordinate and $5 million is the x-coordinate.

so, Horizontal axis - y- axis is the "Number of computers".

Vertical axis - x- axis is the "Advertising cost "

The set of units and scales are appropriate for the two axes

Horizontal axis: Number of computers (in millions):

Vertical axis: Advertising Dollars (in millions):

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Given:

Number of computers expected to sell = 40  millions

Cost price of internet advertising = $5 million

From to the graph, we can see that

40 millions is the y-coordinate and $5 million is the x-coordinate.

So, Horizontal axis - y- axis shows the "Number of computers".

and, Vertical axis - x- axis shows the "Advertising cost ".

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Answer:

35 yards

Step-by-step explanation:

20yd+15yd

you add 20yd and the 15yd and that is your area.

Answer:

1/1 x 7/1 x 1/12

Is there any options?

Step-by-step explanation:

Answer:6/8 adding 1/4

Step-by-step explanation: Because im right probably

Answer:

96 square feet

Step-by-step explanation:

Area= length x width

So for the rug it would be 12x8

12x8=96

Answer:

a. [tex] a_n = -3(5^{n - 1}) [/tex]

b. [tex]a_n = 72(3^{1 - n})[/tex]

Step-by-step explanation:

a.

[tex] a_1 = -3 [/tex]

[tex] a_2 = -3(5^1) [/tex]

[tex] a_3 = -3(5^2) [/tex]

Notice that in each term, the exponent of the 5 is 1 less than the term number.

The general term is

[tex] a_n = -3(5^{n - 1}) [/tex]

b.

[tex] a_1 = 72 [/tex]

[tex] a_2 = 72(\dfrac{1}{3})^1 [/tex]

[tex] a_3 = 72(\dfrac{1}{3})^2 [/tex]

Notice that in each term, the exponent of the 1/3 is 1 less than the term number.

The general term is

[tex] a_n = 72(\dfrac{1}{3})^{n - 1} [/tex]

[tex] a_n = 72(\dfrac{1}{3^{n - 1}}) [/tex]

[tex] a_n = 72(3^{1 - n}) [/tex]

Answer:

228 of them are made from wool, but there is no enough information to determine how many would he has in stock.

Step-by-step explanation:

Mr Ollivander's stuffed bear shop has 456 bears in stock, and exactly half of them are made from wool, this means that 1/2 of 456 are made from wool

1/2 of 456 = 1/2 × 456 = 456/2 = 228.

That is 228 of them are made from wool.

However, nothing tells us that this is all he has in his stock. There is no information available to determine how many would he has in stock.