Answer:
m∠QST = 72°
Step-by-step explanation:
Given:
m∠SQR = 108°,
Quadrilateral SQRT has diagonals QT and SR that intersect at point U,
We can tell that:
m∠QST = 72°
Because <R = 36
Answer:
Answer is m<QST = 72
Step-by-step explanation:
The reason for this is that the total measuer of all the angles is 360. Opposite angles are congruent. If one angle is 108 then another angle is 108 equaling 216. Then 360 (which is the total measure) minue 216 is 144. We need to figure out the other two angles left so you divide this number by 2. Therefore angle QST is 72.
If you liked the explanation and answer and it helped you, I would appreciate it if you could check out my channel The Game Rater. Thank you.
Please helpppppp!! Which equation applies the associative property of multiplication?
The equation that applies the associative property of multiplication is: B. (-9/4 * 3/2) * (6/3 * 5/7) = -9/4 * (3/2 * 6/3) * 5/7).
What is the Associative Property of Multiplication?The associative property of multiplication can be defined as a property of equality which states that the product is some numbers remains the same regardless of how the factors are grouped in multiplication.
For example, according to the associative property of multiplication, (5 × 3) × 2 would give us the same product as what 5 × (3 × 2) would give us. Both would give a product of 30, irrespective of how they are grouped in multiplication.
Thus, (-9/4 * 3/2) * (6/3 * 5/7) would give the same product as -9/4 * (3/2 * 6/3) * 5/7).
Therefore, the answer is: B. (-9/4 * 3/2) * (6/3 * 5/7) = -9/4 * (3/2 * 6/3) * 5/7).
Learn more about the associative property of multiplication on:
https://brainly.com/question/2061992
#SPJ1
Justin’s doctor said that the expression StartFraction x + y + 5 over 2 EndFraction, where x and y are his parents’ current heights in inches, gives an estimate of how tall Justin will be as an adult. Justin’s work evaluating the formula is shown below.
Mom’s height = 54 inches
Dad’s height = 71 inches
StartFraction 71 + 54 + 5 over 2 EndFraction = 71 + 27 + 5 = 103 inches
What error did Justin make?
He should have made x equal 54 and y equal 71.
He should have added the values in the numerator before dividing by 2.
He should have divided the 71 by 2 instead of the 27.
He should have made the numerator 76 + 59.
Mark this and return
The error Justin made in his calculation is "He should have added the values in the numerator before dividing by 2".
The correct answer choice is option B
What error did Justin make?(x + y + 5) / 2
Where,
x and y are his parents’ current heights in inches,
Mom’s height = 54 inches
Dad’s height = 71 inches
Substitute into the expression
(71 + 54 + 5) / 2
= 130/2
= 65 inches
Justin's work:
( 71 + 54 + 5 ) / 2
= 71 + 27 + 5
= 103 inches
Therefore, Justin should have added the numerators before dividing by 2.
Read more on expressions:
https://brainly.com/question/1859113
#SPJ1
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 25 cards, which was 20% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
Answer:
125 cards
Step-by-step explanation:
20% = 0.2= 1/5
So because 25 is 1/5 0f the total number cards multiply 25 by 4 to get the other 80% and add the first 25 cards to that number.
(25 x 4) + 25= ?
100 + 25 = 125
therefore 125 cards were sold.
what is 2+2?
i want to know
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2+2= 1+1+1+1=4
2. for each infinite sequence suggested below, give its generating function in closed form, i.e., not as an infinite sum. (use the most obvious choice of form for the general term of each sequence.)
The general term of each sequence that are given are \(a_{n} = n+2 / 2\) ; nEN for the each infinite sequence suggested below, give its generating function in closed form, i.e., not as an infinite sum.
The infinite sequence that are generally number's that doesn't have any ending and are called as the infinite sequence and other that have finite sequence which have final numbers.
Here given infinite sequence are :
\(a1 =1 , a2= 0 , a3= 0 , a4 = 1.\\closed form of infinite sequence is an = 1 and 0 otherwise.\\sequence that s given is 3,2,4,1,1,1 and\\ a1 = 3 , a2 2 , a3= 4, a4= 1.\\an = 3, n =1, a2 = 2, a3 = 4, \\no n= 1, n=2, n=3 1 otherwise\\Given sequence is 1,3,6,10 ,15 \\then an = n+2 /2.\)
Read more about sequence:
https://brainly.com/question/6561461
#SPJ4
Your friend, Tomato Head paid $17 for a shirt. This amount was 85% of the total amount
Tomato Head spent while shopping. How much money did Tomato Head spend?
Find tan B. WILL MARK BRAINLIEST
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!The sum of the interior angles
Answer:
19 sides
Step-by-step explanation:
Sum of angles of n-side polygon = 180 *(n - 2)
180 *(n -2) = 3060
Divide both sides by 180
n- 2 = 3060/180
n - 2 = 17
n = 17+2
n = 19
Answer:
19 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here sum = 3060° , then
180° (n - 2) = 3060° ( divide both sides by 180° )
n - 2 = 17 ( add 2 to both sides )
n = 19
The polygon has 19 sides
Please help, this is called Writing Equations
Answer:the answer is C
Step-by-step explanation:
Find the missing part of the triangle.
who can help asap!?
Answer:
49/3 or 16⅓
Step-by-step explanation:
gallons ordered = 62
gallons used = 45⅔
so we have to subtract gallons used from gallons ordered to get our answer.
so,. 62 - 45⅔
=16⅓
hope it helps .
Subtract. 10,000 - 6,128
Answer:
3872
Step-by-step explanation:
10,000 - 6,128 = 3872
use calculator man
What is the maximum value of the transformed function, y = -3cos (2x - 8) + 5
A. 3 units
B. 5 units
C. 8 units
D. 11 units
Answer:
C. 8 units.
Step-by-step explanation:
The maximum value of the cosine ( cos) function is 1
So, for y = 3cos(2x - 8) + 5
Maximum value is 3 *1 + 5 = 8.
y = -3cos(2x - 8) + 5 is the above graph reflected in the y axis so the maximum value is also 8.
One lap around the lake is 7/10 mile Dasha runs 9 laps around the lake
Answer:
6.3
Step-by-step explanation: Divide 7 by 10 and get .7 then you would multiply that by 9 and youll get 6.3
36) The ratio of Slade's stickers to Corbett's stickers is 5: 2. If Corbett
has 27 fewer stickers than Slade, how many stickers do they have
in all?
Answer: 63 Stickers
Step-by-step explanation:
Given information:
Ratio = Slade : Corbett = 5 : 2
Corbett has 27 fewer stickers
Set variables:
Let x be the number of stickers Corbett has
Let x + 27 be the number of stickers Slade has
Set proportional equation:
\(\frac{2}{5}~ =~\frac{x}{x~+~27}\)
Cross multiply the system
\(2~(x~+~27)~=~5~*~x\)
Simplify by distributive property
\(2~*~x~+~2~*~27~=~5x\)
\(2x~+~54~=~5x\)
Subtract 2x on both sides
\(2x~+~54~-~2x~=~5x~-~2x\)
\(54~=~3x\)
Divide 3 on both sides
\(54~/~3~=~3x~/~3\)
\({x=18}\)
Add Corbett's and Slade's amounts together
Corbett = x = 18 stickers
Slade = x + 27 = 18 + 27 = 45 stickers
Total = 18 + 45 = \(\Large\boxed{63~Stickers}\)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
63 stickers
Step-by-step explanation:
Define the variables:
Let x be the number of stickers Slade had.If Corbett has 27 fewer stickers than Slade:Given ratio:
Slade : Corbett = 5 : 2
Substitute the defined variables:
\(\implies \sf x : x - 27 = 5 : 2\)
\(\implies \sf \dfrac{x}{x-27}=\dfrac{5}{2}\)
Cross multiply:
\(\implies \sf 2x=5(x-27)\)
Expand:
\(\implies \sf 2x=5x-135\)
Subtract 5x from both sides:
\(\implies \sf -3x=-135\)
Multiply both sides by -1:
\(\implies \sf 3x=135\)
Divide both sides by 3:
\(\implies \sf x=45\)
Therefore, Slade had 45 stickers.
Substitute the found value of x into the expression for the number of stickers Corbett had:
\(\implies \sf 45-27=18\)
Therefore, Corbett had 18 stickers.
Total number of stickers = 45 + 18 = 63
The cost of 3 shirts and 2 trousers are £155. Every trouser cost £10 more than a shirt. What is the cost of every shirt?
(Explain how to lay out the bar model)
Answer:
Step-by-step explanation:
X = shirts
Y = trousers
3x + 2y = 155
Now
y + 10 = x
Make y + 10 = x equal y
-10. -10
y = x - 10
Replace y with this equation in our other equation.
3x + 2(x - 10) = 155
Do the math:
This equals x = 35
Now put x = 35 in the other equation
Y + 10 = 35
Do the math:
y = 25
$35 per shirt
$25 per trousers
Now for the bar model, the total is 155
Make a fraction of 35/155
Make a long bar. Split it into 5 parts.
Label three parts 35 and two 25
Make the 35 parts slightly bigger.
It should look like this
Graph the following equation S = 25N
Answer:
Step-by-step explanation:
Graph the following equation: y=2x+1 How to Graph the Equation in Algebra Calculator. First go to the Algebra Calculator main page. Type the following: y=2x+1; Try it now: y=2x+1 Clickable Demo Try entering y=2x+1 into the text box. After you enter the expression
A monopolistically competitive firm is currently producing 30 units of output. At this level of output, the firm is charging the highest price it can at $30, has marginal revenue equal to $15, has marginal cost equal to $15, and has average total cost equal to $25. From this information, we can infer that:_____.a. the firm is earning zero profit. b. the firm is currently maximizing its profit. c. the profits of the firm are negative. d. firms are likely to leave this market in the long-run.
we can infer that the firm is currently maximizing its profit. Option (b), "the firm is currently maximizing its profit," is the most appropriate inference from the provided data.
To determine whether the firm is maximizing its profit, we need to analyze the relationship between marginal revenue (MR), marginal cost (MC), and price. In a monopolistically competitive market, firms aim to maximize their profit by producing at a level of output where MR equals MC.
From the information provided, we know that the firm's marginal revenue is equal to $15 and marginal cost is also equal to $15. This indicates that the firm is producing at the level where its marginal revenue equals its marginal cost, which is a characteristic of profit maximization.
Additionally, we are told that the firm is charging the highest price it can at $30. This means that the firm is able to set its price above its average total cost, resulting in a positive difference between price and average total cost, known as economic profit.
learn more about marginal revenue here:
https://brainly.com/question/30236294
#SPJ11
approximately what percentage of software development projects are cancelled before they are ever completed? group of answer choices 70% 30% 66% 54%
Research tells us that 30% of projects are cancelled before they are ever completed.
What is a software project?
A software project is an entire process of developing software, from gathering requirements to testing and maintenance, carried out in accordance with execution methodologies over a predetermined amount of time to produce the desired software product.
One could argue that software is an intangible good. Software development is a relatively new area of business, and few people have experience creating software products. The majority of software products are custom-made to meet client needs. The most significant factor is that the underlying technology develops and changes so frequently and quickly that knowledge gained from one product may not be transferable to another. Software development is risky due to all of these business and environmental constraints, so effective project management is crucial.
Research by the Standish Group found that 31% of projects were deemed failures and were subsequently cancelled.
To know more about software projects here:
https://brainly.com/question/3818302
#SPJ4
Dr. Fahrrad has been riding his bike to his job and is curious how many ATP his body is breaking apart in order to do the work required to get to his job.
Dr. Fahrrad rides 4.6 kilometers to his job, has a mass of 74.9 kilograms and has an average acceleration of 1.4 kilometers per second squared.
The molecule ATP is able to do work, measured in kilojoules per mole of ATP broken into ADP. The SI unit for work is a joule. Using the information given we can calculate work and then convert to moles of ATP.
The first step is to take stock of what we are given in the word problem and what we are trying to find. We have mass, distance, and average acceleration. We are trying to find how many ATP are required to power the bike ride to work.
The equation for work, is force times distance and will tell us how many joules Dr. Farrhad is using on his bike ride. It also incorporates one of our given variables, distance. However, the distance was reported in kilometers and the SI unit of distance is the meter. It is necessary to convert to meters before using this equation.
The equation for Force is mass times acceleration. This will incorporate our remaining two variables, mass and acceleration. Again, the information given to us was in km·s-2 but the SI unit for acceleration is m·s-2. It is necessary to convert to m·s-2 before substituting into the equation.
By substituting the equation for F into the equation for W, we can figure out how many joules Dr. Fahrrad is burning on his ride to his job.
In order to use these equations, we are assuming quite a few things. Below are some of the assumptions.
no friction
no mass of the bike
a flat ride with no change in altitude
This equation above will calculate work in joules. The conversion factor for switching between ATP and work is given in kilojoules. The units must match to correctly perform the conversion.
The last step is to convert work, calculated in joules, into moles of ATP being broken required to do the work. If we assume standard temperature and pressure, the breakdown of a mole of ATP releases 29 kilojoules available to do work.
How many moles of ATP is Dr. Farrhad breakdown to get to work? Report your answer to one decimal place.
Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.
The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:
W = F * d
where:
W is the work done in joules
F is the force in newtons
d is the distance in meters
The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.
The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.
Plugging these values into the equation for work, we get:
W = 102.8 N * 4600 m = 472320 J
The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:
472320 J / 29 kJ/mol = 162.6 mol
To one decimal place, this is 0.23 moles of ATP.
Here are the assumptions that we made in this calculation:
No friction
No mass of the bike
A flat ride with no change in altitude
These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.
Learn more about squared here: brainly.com/question/14198272
#SPJ11
11. What is the domain of the function? Please show how you solved it and explain.
Answer:
domain: \(x\leq -7, x\geq 3\)
Step-by-step explanation:
\(f(x)=\sqrt{x^2+4x-21}\)
Factor \(x^2+4x-21\):
\(x^2+4x-21=(x-3)(x+7)\)
Therefore,
\(f(x)=\sqrt{(x-3)(x+7)}\)
\(\implies f(x)=\sqrt{(x-3)}\sqrt{(x+7)}\)
Find non-negative values for radicals:
\(\sqrt{(x-3)} \implies x\geq 3\)
\(\sqrt{(x+7)} \implies x\leq -7\)
Therefore, domain: \(x\leq -7, x\geq 3\)
Can a degree 5 polynomial with real coefficients have exactly 2 real roots, including any
repeated roots?
yes
no
Answer:
no it is not possible
Please help me with this question no links please.
the total probability rule is used when an analyst is interested in: a. all potential outcomes. b. a set of events. c. a single outcome.
The total probability rule is used when an an analyst is interested in a)all potential outcomes. So, correct option is a.
Probability is the branch of the mathematics concerning numerical descriptions of how likely an event is going to occur, or how likely it is that a proposition is true. The probability of an event is the number between 0 and 1, where, roughly speaking, 0 indicates that impossibility of the event and 1 indicates certainty. If probability of an event is higher then, the more likely it is that the event will occur.
Probability can be defined as the proportion of the number of favorable outcomes to the total number of outcomes of an event..
Hence, option a is correct.
To know more about probability, visit here:
https://brainly.com/question/11234923
#SPJ4
Quadrilateral A has side lengths 3, 4, 5, and 6. Quadrilateral B is a scaled copy of
Quadrilateral A with a scale factor of 2. Select all of the following that are side lengths of
Quadrilateral B. [choose 2]
05
06
07
8
9
Answer:
best bet is a im not 100 percent sure though
let f(x, y) = 4ex − y. find the equation for the tangent plane to the graph of f at the point (2, 2).
To find the equation for the tangent plane to the graph of f at the point (2, 2), we need to determine the partial derivatives of f with respect to x and y and then use these derivatives to construct the equation.
First, let's find the partial derivative of f with respect to x:
∂f/∂x = 4e^x
Next, let's find the partial derivative of f with respect to y:
∂f/∂y = -1
Now, we can construct the equation for the tangent plane using the point (2, 2) and the partial derivatives:
The equation of the tangent plane can be written as:
f_x(a, b)(x - a) + f_y(a, b)(y - b) + f(a, b) = 0
Substituting the values into the equation:
(4e^2)(x - 2) + (-1)(y - 2) + (4e^2 - 2) = 0
Simplifying the equation:
4e^2(x - 2) - (y - 2) + 4e^2 - 2 = 0
Expanding:
4e^2x - 8e^2 - y + 2 + 4e^2 - 2 = 0
Simplifying further:
4e^2x - y - 8e^2 = 0
This is the equation for the tangent plane to the graph of f at the point (2, 2).
Learn more about partial derivatives here: brainly.com/question/32388455
#SPJ11
3. The decimal expansion of 13/625 will terminate
after how many places of decimal?
(a) 1
(b) 2
(c) 3
(d) 4
The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.
The given fraction is 13/625.
Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Here, the decimal expansion is 13/625 = 0.0208
So, the number of places of decimal are 4.
Therefore, the correct answer is option D.
To learn more about the decimal numbers visit:
https://brainly.com/question/1578006.
#SPJ1
James and Martha are discussing special right triangles. James believes that a 30-60-90 triangle with a hypotenuse of 10 feet has a greater perimeter than a 45-45-90 triangle with a hypotenuse of 10 feet. Martha disagrees. Who is correct?
Answer:
Step-by-step explanation:
Disclaimer it is up the student to verify all the geometry algabra and mathematical formulas and calculation .
cosФ = opp/hyp sinФ = adj/hyp hyp = 10 perimeter = a + b + c
for the 45° right triangle
a = b so 2a² = hyp² perimeter 45 = a + a + hyp
P45 = 2a + hyp a = sin(45) (hyp) = [1/2√2)] (hyp) sin(45) = (√2)/2
P45 = 2([1/2√2)] (hyp) + hyp
P45 = hyp (√2 + 1)
for the 30° right triangle
a = hyp×sin(30) b = hyp×cos(30) perimeter 30 = a + b + hyp
sin(30) = 1/2 cos(30) = (√3)/2
a = hyp(1/2) b = hyp(1/2)(√3)
P30 = a + b + hyp
= hyp(1/2) + hyp(1/2)(√3) + hyp
= hyp[ 1/2 + (1/2)√3 + 1]
= hyp[ 1/2 + (1/2)√3 + 1] factored out the hyp
= (1/2)hyp[ 1 + √3 + 2] factored out a 1/2
P30 = (1/2)hyp[ 3 + √3]
which is greater P45 or P30? vso I set both perimeters equal to each other
P45 vs P30
hyp (√2 + 1) = (1/2)hyp[ 3 + √3] the hyp cancel
(√2 + 1) = (1/2)[ 3 + √3] still tough to tell needed
1.414 + 1 = (1/2)[ 3 + 1.732] to go to the calsulator
2.414 vs 1/2( 4.732)
2.414 > 2.366 thus P45 > P30 < ----- Final Answer
Disclaimer it is up the student to verify all the geometry algabra and mathematical calculation.
Answer:
what he said
Step-by-step explanation:
What is the complete factorization of 16x^2 - 24y?
Answer:
8(2x^2 - 3y)
Step-by-step explanation:
Factor the greatest common factor of the terms.
16x^2 - 24y =
= 8(2x^2 - 3y)