The area of the Rectangle is 70 units², So option (C) is the correct answer.
Let,
Length of Rectangle = 10 units
Width of Rectangle = 7 units
Area of rectangle = length × Width
Putting the Length and Width of the rectangle in the last equation.
So,
Area of rectangle = 10 × 7 units²
Area of rectangle = 70 units²
Hence, The area of the rectangle is 70 units².
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Using the same graph that was used for the previous questions, create your own combined transformation that would move Triangle 1 to Triangle 2. This time, however, you must use at least one reflection in your combined transformation.
Step-by-step explanation:
reflect it up over the horizontal line y = 7.5
it now covers completely the C triangle.
and then move (translate) it 2 units to the right.
How do you prove that an equilateral triangle is similar?.
For equilateral triangles, each side is equal. Hence the ratio between two sides of different triangles will be constant. Hence, all equilateral triangles are similar.
What is the equilateral triangle?
An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal.
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There was a sample of 800 milligrams of a radioactive substance to start a study. Since then, the sample has decayed by 5.3% each year. Let t be the number of years since the start of the study. Let y be the mass of the sample in milligrams. Write an exponential function showing the relationship between y and t.After each year, the remaining mass is (1-0.053) = 0.947 times the mass at the start of the year. The exponential decay law is
y(t) = 800 (0.947)t milligrams
The exponential decay function which showing the relationship between y and t is y(t) = 800 (0.947)^t milligrams.
What is the formula for an exponential decay function?The formula for exponential decay is f(x) = ab^x, where b denotes the decay factor. In the exponential decay function, the decay rate is given as a decimal. The decay rate is expressed as a percentage. We convert it to a decimal by simply reducing the percent and dividing it by 100.
Thus, in this case:
the initial amount of sample = 800 mg
rate of decay = 5.3%
Hence, f(x) = ab^x
y(t) = 800 (1 - 5.3/100)^t
y(t) = 800 (0.947)^t
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If w = 4y and 2w = 8, find the value of y.
Answer:
y=1
Step-by-step explanation:
we can find what w is equal to first
2w=8
/2. /2
w=4
Now we fill in w to find y
4=4y
/4. /4
1=y
Hopes this helps please mark beainliest
A box with a square base, and no top made of a square piece by cutting 5 in. squares from each corner and folding up the sides. The box is to hold 6480 in3. How big a piece of cardboard is needed?
46 inches big piece of cardboard is needed.
A square box is a three-dimensional object with the shape of a cube.
As per the question,
Let the piece of cardboard = x inchesSide of the square( after cutting 5 in. from each corner ) = x - 10Height of the box( when folded ) = 5The volume of the box = 6480 in³We know that,
V = h × w × l → 1
where, V = volume of the box
h = height of the box
w = width of the box
l = length of the box
Substitute the values V = 6480, h = 5, w = x - 10 and l = x - 10 in 1,
⇒ 5 × ( x - 10 ) × ( x - 10 ) = 6480
⇒ 5 × ( x² - 10x - 10x + 100 ) = 6480
⇒ 5 × ( x² - 20x + 100 ) = 6480
⇒ 5x² - 100x + 500 = 6480
⇒ 5x² - 100x = 6480 - 500
⇒ 5x² - 100x = 5980
⇒ 5x² - 100x - 5980 = 0
⇒ 5 ( x² - 50x - 1196 ) = 0
⇒ x² - 50x - 1196 = 0
By solving the equation x² - 50x - 1196 = 0 we get,
x = 46 and -26
⇒ We eliminate x = -26 since it is a negative value
⇒ We consider the positive value x = 46.
Therefore, 46 × 46 inches is the dimensions of the square card box.
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Please help. Pls. I will give you brainliest. You dont have to write 200 words Just choose a topic and write some sentences- I will do the rest ~~~Ty
Answer:
I had to screenshot from my computer because it said (you have an inappropriate word or link in your answer)
we do things called culture monday at our school where we write about a problem and then do a discussion on it in the classroom
this was mine so nooooo plagiarism or anything.
please mark brainliest......
Answer:
World War II started on September 1st, 1939, a decade after America’s stock market crash and downfall of the economy, which was in 1929, when Germany, led by a man born in Austria called Adolf Hitler, invaded Poland. France and England immediately declared war on Germany and Germany’s allies.
Germany had two allies, Japan and Italy, Italy mostly provided food and supplies, while Japan provided manpower, along with Germany. Germany, Japan, and Italy were called the Axis powers, and England, Russia (Then called the Soviet Union), and America (When America joined the war), along with many other countries, such as China and France (Except for the four years which Germany occupied France, 1940--1944), were called the Allied powers.
Germany invaded and occupied Austria, Belgium, France, Norway, Luxembourg, Greece, Czechoslovakia, Greece, Denmark, Holland, Hungary, the Netherlands, and many other countries with the help of Italy and Japan.
The United States wanted to be neutral through World War II like the Irish and Swiss, but the Axis Powers did not let this happen. Instead, Japan bombed Pearl Harbor and utterly destroyed and sunk many ships, so the United States had no choice but to join the war and the Allied forces.
The United States both lost and won many battles, and Germany was losing battles against the Soviet Union and England. Germany lost many battles in the Soviet Union, which was fought in harsh and bitter cold, and also lost the Battle of Britain fought in the skies over England between Britain’s Royal Air Force (RAF) and Germany’s Luftwaffe.
Many people died as a result of the Battle of Britain by bombs and flying shrapnel. In order to try to get their country back to normal, Great Britain started to ration food, drafted men over eighteen to go to the war front, made shelters all over England, in cities, towns, even in the country, in case of an air raid. The Battle of Britain was mostly fought in the skies of London, but enemy planes heading towards London to fight might drop a bomb to wipe away towns, cities, or a part of country off the map.
Germany soon retreated from Great Britain and thought that England would surrender with the rest when Germany conquered and ruled the world, which was Germany’s goal, but England, after some recovery, fought Germany as hard as ever, angered by the people and planes lost because of the Battle of Britain.
In the middle of this, President Franklin Delano Roosevelt died because of a mixture of bad health, too much stress, and his polio. Americans grieved for President Roosevelt, and elected a new president, President Harry Truman.
With forces fighting with both the Soviet Union and England, and later fighting on D-Day, Germany could not last for long, even with its two allies. But the number of allies Germany had soon reduced to one, for Italy joined the Allied powers, betraying the Axis Powers. Germany desperately tried to fight back the forces of the Allied powers, but soon surrendered days after Adolf Hitler’s death, on May 8th, 1945.
Even when its ally Germany had surrendered and Italy had gone over to the Allies, Japan still fought, even though there was very little chance they would win. This was a bad idea, an idea which would change history. The Allied powers turned their full attention on defeating Japan, which was a bad thing, since Japan could only take over a few islands in the Pacific belonging to the United States and could not defeat any others in the beginning when the Allied powers’ attention was divided. As a result, many, at least hundreds, died, deaths that were not even necessary. The United States dropped two atomic bombs from one of America’s bomber planes on Japan’s two major cities, Hiroshima and Nagasaki days apart, so Japan surrendered, unable to lose any more people then it had already.
The two atomic bombs were built in the midst of fighting and stress of World War II in Manhattan, New York by a group of people who specialized in physics, math, and chemistry. The atomic bomb’s code name was: The Manhattan Project. The Manhattan Project, when done and ready, after dropped from an American bomber plane, killed over a hundred thousand Japanese in the two major cities Hiroshima and Nagasaki, most of them regular Japanese civilians going about their daily life.
World War II was a very important war and time period that changed the world. It changed the human race. The atomic bomb, invented in World War II, soon led other countries, such as England, France, the Soviet Union (Later known as Russia), and China to build it too, which gave these countries a huge advantage in war. America’s stock market bounced back. President Harry Truman became popular for ending World War II.
Step-by-step explanation:
Sorry I'm late
803 words
Brainliest, Please!What is SSS SAS ASA AAS?.
Answer:
SSS: Side-Side-Side
SAS: Side-Angle-Side
ASA: Angle-Side-Angle
AAS: Angle-Angle-Side
Step-by-step explanation:
They are the conditions used to determine whether two triangles are congruent or not.
please help me geometry
Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 tri so x=[tex]5\sqrt{3}[/tex]
Answer:
5√3
Step-by-step explanation:
Given a=5 and ∠β=60°,
b = 8.66025 = 5√3
b = √c^2 - a^2
= √10^2 - 5^2
= √75
= 8.66025 = 5√3
Thanks.
Why are radicals simplified before adding and subtracting? explain your reasoning by adding 8 and 32.
The reason they have to be simplified is that you cannot add radical unless the number under the radical is the same on all of them.
For example:
If you add √8 + √32 without simplifying, the best you could do is an estimate. But if you're required to put your answer in standard radical form this would be an issue.
So, you would have to simplify to combine:
√4√2 + √16√2
2√2 + 4√2
6√2
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n a survey of patients in a local hospital, 62.42% of the respondents indicated that the health care providers needed to spend more time with each patient. who makes up the population?
The survey is of the population of all the patients present in that particular hospital.
What is a survey?A survey is a set of questions used in human subject research with the goal of gathering specific information from a certain population.
Surveys can be carried out via the phone, by mail, online, at street corners, and even in shopping centers.
Surveys are used to collect data or learn more in areas like demography and social research.
Survey research is frequently used to evaluate ideas, beliefs, and emotions.
Surveys might have narrow, focused objectives or they can have broad, more general objectives.
So, in the given situation the survey states that 62.42% of the respondents indicated that the health care providers needed to spend more time with each patient.
So, it is clear that the remaining respondents have the opposite view on this.
So, the respondents will be all the patients present in the local hospital.
Therefore, the survey is of the population of all the patients present in that particular hospital.
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How do I solve explain steps
Answer:
There's no real solutions to this expression.
Step-by-step explanation:
5x - (3 - 2x) = - (-x - 7) + 6x
First we need to get rid of the parenthesis and to do that we multiply inside the parenthesis with -15x - 3 + 2x = x + 6 + 6x (remember, negative × negative = positive)
Now add/subtract like terms:5x + 2x - 3 = 7x - 3
x + 6x + 7 = 7x + 7
Rewrite the equation:7x - 3 = 7x + 7, 7x will eliminate each other so we will be left with,
-3 = 7 which cannot be true so we say there's no real solutions to this expression.
the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is:
The proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.
What is square of correlation coefficient?
A helpful number in linear regression is the square of the correlation coefficient, or r2.
The percentage of the variance in one variable that can be partially explained by another variable is represented by this value.
The summary table in the Regression output contains the "R" value, which is the coefficient of correlation.
Coefficient of determination is another name for R square. To calculate R squared, multiply R by R.
The square of the correlation coefficient is what is meant by the term "coefficient of determination."
Hence, the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.
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How do you find graph of equation?.
Step-by-step explanation:
You must know the properties of equations.
If the graph is a line, then
the form of the equation will be either
[tex]ax + by = c[/tex]
or
[tex]y = mx + b[/tex]
If the graph is shaped like a U( parabola), then our equation will be
[tex]ax {}^{2} + bx + c[/tex]
Which congruence theorem can be used to prove ABC equals DEC?.
Because the corresponding sections of congruent triangles are congruent, you may use the Vertical Angles Congruence Theorem to demonstrate that ABC DEC. b. CAB CDE.
The AAS Theorem is what?According to the Angle-Side-Angle Postulate (ASA), two triangles are congruent if two angles and the included side of one triangle are congruent with two angles and the included side of another triangle.
Are AAS and SAA the same?Two postulates that aid in determining if two triangles are congruent are ASA and AAS. While AAS stands for "Angle, Angle, Side," ASA stands for "Angle, Side, Angle." If two figures are the same size and shape, they are said to be congruent. In other words, two congruent figures are actually two separate locations of the same figure.
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a(n) variable is characterized by infinitely uncountable values and can take any value within interval.
The correct answer is a countable variable is characterized by infinitely uncountable values and can take any value within interval.
A random variable is with an unknown value or a function that gives values to each of the results of an experiment.
Random variables are frequently identified by letters and fall into one of two categories: continuous variables, which can take on any value within a continuous range, or discrete variables, which have specified values.
Continuous random variables have an endless number of possible values and can represent any value that falls within a given range or interval.
An experiment that measures the amount of rain that falls in a city over the course of a year or the average height of a random group of 25 people are two examples of continuous random variables.
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At the end of the first pay period of the year, earned $4.900 of salary Withholdings from Sofia's salary include FICA Social buhos Security taxes at the rate of 6.2%. FICA Medicare taxes at the rate of 145% $518 of federal income taxes. $178 of medical insurance deductions, and $28 of life insurance deductions Compute Sofia's net pay for this first pay period. (Round your intermediate and final answers to 2 decimal places) Drons pay FICA SO Security FICA Medicare Federalne taxes Medence deduction Leisurance deduction Soldeductions Netpay
Sofia's net pay for this first pay period is $3,801.15.
In the given question, we have to compute Sofia's net pay for this first pay period.
As we know that;
A person's net income, which differs from their gross income since it takes payroll deductions into account, is how much money they really take home from each paycheck. A person's net salary is the amount they earn after all necessary deductions, such taxes, have been made from their gross remuneration. After all deductions have been made, this is the total amount that is put into the employee's bank account. The amount an employee receives before any payroll deductions, including those for taxes, benefits, and other costs, is known as their gross pay.
So calculation of net pay is given below;
According to the calculation, Sofia's net pay for this first pay period is $3,801.15.
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Trapezoid ABCD is congruent to trapezoid A′′B′′C′′D′′ . Which sequence of transformations could have been used to transform trapezoid ABCD to produce trapezoid A′′B′′C′′D′′ ? Responses Trapezoid ABCD was reflected across the y-axis and then across the x-axis. , , trapezoid A B C D, , , , was reflected across the y -axis and then across the x -axis. Trapezoid ABCD was reflected across the y-axis and then translated 7 units up. , , trapezoid A B C D, , , , was reflected across the y -axis and then translated 7 units up. Trapezoid ABCD was reflected across the x-axis and then across the y-axis. , , trapezoid A B C D, , , , was reflected across the x -axis and then across the y -axis. Trapezoid ABCD was translated 7 units up and then 12 units left. , , trapezoid A B C D, , , , was translated 7 units up and then 12 units left.
The sequence of transformations used to transform ABCD to A"B"C"D" is; Trapezoid ABCD was reflected across the y-axis and then translated 7 units up.
How to find the sequence of transformation?From the figure we have the pre image before transformation as Quadrilateral ABCD which is located at the bottom right of the graph.
Trapezoid ABCD and A"B"C"D" are equidistant from the x-axis
Trapezoid ABCD and A"B"C"D" are equidistant from the y-axis
Now, it is clear that Quadrilateral ABCD was first reflected across the y-axis.
Thereafter, when we look at the coordinates of the final transformed quadrilateral, it is clear that the second step of transformation was to translate the image by 7 units upwards.
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11) The solution to 3(x - 8) + 4x = 8x + 4 is
a) 12 b) 28 c) -12 d) -28
Answer:
d) -28
Step-by-step explanation:
Distribute the "3" on the left side of the equation, then isolate the variable on one side:
3(x - 8) + 4x = 8x + 4
3x - 24 + 4x = 8x + 4
7x - 8x = 4 + 24
-x = 28
x = -28
What is the perimeter of rhombus lmno? 20 units 24 units 40 units 48 units
The perimeter of the rhombus LMNO is 48 units
In the rhombus LMNO,
The length of the side LM = The length of the side MN = The length of the side NO = The length of the side ON
Then,
The length of the side LM = 3x - 3
The length of the side MN = x + 7
Both are equal, then the equation will be
3x - 3 = x + 7
Group the like terms
3x - x = 7 + 3
2x = 10
x = 10 /2
x = 5
Substitute the value in second equation
x + 7 = 5 + 7
= 12 units
The perimeter of the LMNO = 4 × 12
= 48 units
Hence, the perimeter of the rhombus LMNO is 48 units
The complete question is
What is the perimeter of rhombus LMNO ? A) 20 units B) 24 units C) 40 units D) 48 units
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The table how the participation in a chool’ debate club during the lat four year. Year 1 2 3 4 Student 14 19 25 33 Between which to year did the club ee the greatet growth? By what percent did it grow?
The greatest growth was between years 1 and 2. The growth between those years was about 36%.
What is the greatest growth?
The process of developing; progressive expansion; the act or process of growing. size or developmental stage: It hasn't yet grown to its full potential. finished with development. growth of ritual forms: transition from a simpler to a more complex stage.
Here, we have
Given: Year 1 2 3 4, Student 14 19 25 33.
We have to calculate which year the club has the greatest growth.
19 - 14 = 5 / 14 x 100
= 35.714 > 36%
The other values by calculating the percent increase were
(from 2-3) = 31.57%
(from 3-4) = 32%
Hence, the greatest growth was between years 1 and 2. The growth between those years was about 36%.
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a top-performing seller, who sells items at an online marketplace, would like to test the claim that the average number of daily visitors to their online shop is greater than 980 visitors. to test this claim, at the 10% significance level, the top-performing seller collects the following data on a sample of 23 days and records the number of visitors. the following is the data from this study:
Parameter of interest: Considered Level of significance = 0.01 This is a right-tailed test.
What is z test?
If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.
Here the data is normally distributed and using the sample mean.
Parameter of interest :
Let u denote the population means. Considered Level of significance = 0.01 This is a right-tailed test.
Hence, the Considered Level of significance = 0.01 This is a right-tailed test.
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How old was Saul 11 years ago? (Represent answer in terms of x)
x is his present age in years
his age 11 years ago is x-11
What is the slope of the line that passes through the points (1, 6)(1,6) and (13, 2)(13,2)? write your answer in simplest form.
Answer:
-1/3
Step-by-step explanation:
(2-6)/(13-1)
-4/12
-1/3
A banker invests $50,000 at a 5% interest rate to make money for Wells Fargo. How long will it
take the bank's money to double?
It will take 20 years for the bank's money to double
What is simple interest ?
The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest. Simple interest does not compound, therefore the creditor only has to pay interest on the capital sum and the borrower never has to pay interest on the interest that has already accrued.
Simple Interest formula
I = (P*T*R)/100
The given values are
I = 50000
P = 50000
R = 5%
The formula for T will become
T = (I*100)/(P*R)
= (50000 *100) / (50000 * 5)
= 5000000 / 250000
T = 20 Years
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What is the measure of angle FZJ?
Answer: 102 degrees
Step-by-step explanation:
just add 59 and 43 together
Answer:
102 degrees
Step-by-step explanation:
We are given angles JZU and UFZ already! This makes it easy to calculate FZJ, since it is an internal angle.
An internal angle like this is the sum of the other angles created by the line, in this case line segment UZ
What I'm saying is that the answer to your problem will be the sum of JZU and UFZ.
43 + 59 =
102 degrees
So, angle FZJ has a measurement of 102 degrees
find+the+standard+deviation+for+a+security+that+has+three+oneyear+returns+of+5%,+10%,+and+15%.+question+content+area+bottom+part+1+a.+25.00%+b.+8.33%+c.+16.67%+d.+5.00%
Answer:
Step-by-step explanation:
its 100%
An electrician plans to install solar panels on a rectangular section of roof with an area of 180 m 2 180m 2 180, start text, m, end text, squared. this width of this section of roof is 7 1 5 m 7 5 1 ​ m7, start fraction, 1, divided by, 5, end fraction, start text, m, end text across. what is the length of this section of roof?
The length of the rectangular solar panel the electrician is installing is 25m
How to determine the length of the panelThe length of the panel is calculated from the Area of the panel which is given by the formula
Ares of rectangle = length * width
given units
area = 180 squared meters
width of the section = 7 1/5
From area = length * width
length = are / width
length = 180 / 7 1/5
length = 25 m
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Answer:
25m
Step-by-step explanation:
25m
carlo travels for 3 hours on the highway. his average speed is 55 mi/h. how many miles does he travel?
Answer:
165 miles
Step-by-step explanation:
Distance = rate x time
Distance = 55(3)
Distance = 165 miles
Answer:
distance = 165 miles
Step-by-step explanation:
We know that d=rt
Distance = rate * time
distance = 55 miles / hour * 3 hours
distance = 165 miles
You decided to get ome ice cream at Sweet Frog. The cot i $0. 30 per ounce, but you have a pride card that give you a dicount of $0. 10 off per ounce. If you buy 12 ounce of ice cream, what will be your total cot, excluding tax?
your total cost will be, excluding tax $2.4
What is a discount off?
A fixed amount off a price means subtracting the fixed amount from the original price. For example, if a service normally costs $95, and you have a $20 off coupon, you would deduct $20 from $95 to get the final price.
We have,
Initial cost per ounce = $0. 30
discount off per ounce = $0. 10
cost of 12 ounces of ice cream =?
so, the new cost per ounce will be,
$0. 30 - $0. 10 = $0. 20
cost of 12 ounces of ice cream = 12 * $0. 20
= $2.4
Hence, your total cost will be, excluding tax $2.4
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Nathaniel needs to order some new supplies for the restaurant where he works. The restaurant needs at least 381 forks. There are currently 237 forks. If each set on sale contains 8 forks, use the drop-down menu below to write an inequality representing
s
s, the number of sets of forks Nathaniel should buy.
The inequality representing s, the number of sets of forks Nathan should buy is
s ≥ 11.75
What is inequality ?It is the relation between two non equal comparison.
it can be denoted by ≤, ≥, < or > .
From the question, the restaurant needs at least 381 forks, i.e., if n represents the number of forks the restaurant needs, then
n ≥ 381
Also from the question, there are currently 287 forks. If y represents the number of forks the restaurant needs to buy, then
y ≥ 381 - 287
y ≥ 94
Also, each set on sale contains 8 forks. if s represents the number of sets of forks Nathan should buy, then
s ≥ 94/8
s ≥ 11.75
Hence, the inequality representing s, the number of sets of forks Nathan should buy is
s ≥ 11.75
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