The perimeter of square STUV is 32.98 units
Calculating perimeterFrom the question, we are to calculate the perimeter of the given square.
To do this, we will determine one side length of the given square
The length of a side is the distance between the two end points
Using the points U and T
U(-7, 9) and T(1, 7)
Using the formula for the distance between two points
d = √(x₂ - x₁)² + (y₂-y₁)²
x₁ = -7
y₁ = 9
x₂ = 1
y₂ = 7
Thus,
The distance, d, between the points is
d = √(1 - -7)² + (7-9)²
d = √(1 +7)² + (-2)²
d = √(8)² + 4
d = √64+ 4
d = √68
d = 8.2462
This means the length of each side of the square is 8.2462 units
l = 8.2462 units
The perimeter, P, of a square is given by
P = 4l
P = 4 × 8.2462
P = 32.9848
P ≈ 32.98 units
Hence, the perimeter of square STUV is 32.98 units
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Translate this phrase into an algebraic expression.
The sum of 17 and twice Matt's score
Use the variable m to represent Matt's score.
Answer:
17 + 2m
Step-by-step explanation:
Sum means 'The answer to a Addition equation' So it must be adding ( + )
Twice Matts score can be written in many ways but the simplest being 2m (2 x m) Or you could write m + m
Add 17 so therefore the answer must be:
17+2m
OR
17 + m + m
Luis y Mario se encuentran a 240 metros uno del otro. Luis camina a 3 m/seg y Mario camina a 5 m/seg. ¿Qué distancia recorre Mario hasta que logran encontrarse?
Mario viaja 48 segundos para encontrarse con Luis.
La distancia se define como la longitud de la trayectoria real recorrida por una partícula en movimiento. El desplazamiento se define como la distancia más corta entre la posición inicial y final de un cuerpo. La distancia recorrida por una partícula en una unidad de tiempo se conoce como velocidad.
La distancia entre Luis y Mario es de 240 metros.
La velocidad al caminar de Luis es de 3 m/s.
La velocidad al caminar de Mario es de 5 m/s.
La distancia se puede definir como el producto de la velocidad y el tiempo que tarda el objeto.
Por lo tanto,
Para que Mario alcance a Luis,
Distancia = Velocidad × Tiempo
240 = 5 × t
t = 240/5 = 48 sec.
Mario tiene que viajar durante 48 segundos para encontrarse con Luis.
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Evaluate the expression when x=10, y=−2, and z=−5.
|xz−y|=
Answer:
it would be 52
Step-by-step explanation:
if x = 10 y = -2 and z= -5
x * z = 10 * -5 = -50
-50 - (-2) = -52
|-52| this would make it positive so the answer is 52
The length of a bacterial cell is about 5 x 10 ^−6 m, and the length of an amoeba cell is about 3.5 x 10 ^−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
1.4 x 10 ^1
7 x 10 ^1
143 x 10 ^1
7 x 10 ^3
Answer:7 x 10 ^1 is the right answer
Step-by-step explanation:
Hope this helps :)
There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.
To determine the number of times smaller is the bacterial cell than the amoeba cell.
⇒ amoeba cell / bacterial cell
⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m
Apply the division operation, and we get
⇒ 0.7 × 10⁻⁴ × 10⁶
Adding the exponents of the above terms
⇒ 0.7 × 10⁻⁴⁺⁶
⇒ 0.7 × 10²
⇒ 7 × 10¹
Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.
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Evaluate the expression when m= -4
m2 +6m +9
Answer: 36. Substitute: - 32 - 6 * - 3 + 9 Remove the parentheses: 32 + 6 * 3 + 9 Calculate the power:9 + 6 * 3 + 9.
Step-by-step explanation: I hope this help
Answer:
= 1
Step-by-step explanation:
m² + 6m + 9
m = -4
= -4² + 6*-4 + 9
= 16 -24 + 9
= 25 - 24
= 1
A Gas tank can pump 4gallons in 5/6 of a minute how many gallons can it pump per minute?
The number of gallons that it can pump in a minute will be 4.8 gallons.
How to compute the fraction?.From the information, the Gas tank can pump 4gallons in 5/6 of a minute.
Therefore, the gallons that can be pumped in a minute will be:
= 4 ÷ 5/6.
= 4 × 6/5
= 24/5
= 4.8 gallons.
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Translate to an equation, but do not simplify or solve.
Eight more than x is equal to 53.
Solve the equation.
X =
+
Answer:
x + 8 = 53
Step-by-step explanation:
x + 8 = 53
8 more than x is x + 8 because ur adding 8 more to x. And that is equal to 53 because it literally says IS EQUAL to 53. therefore.
to solve isolate x by subtracting 8 from both side so:
x = 53-8
x = 45
How to write an expression for number of tokens needed for v video games if each game takes 4 tokens
Answer: 4v
Step-by-step explanation:
If 4 tokens are needed for each video game, then you multiply 4 by the number of video games v.
For example, 3 video games, each requiring 4 tokens, would require a total of 12 tokens. This can be also defined as:
v = 3
4*(3) = 12
f(x) = 2x - 4
f(3) = [?]
Answer: f(3)=2
Step-by-step explanation:
f(x) = 2x - 4
f(3) =2(3) - 4
f(3) = 6-4
f(3)=2
What is the solution to the equation?
6=√4x 8
05
022
O 11
07
O 6
Answer:
ans is 11
√4(11)-8=36
√36
=6
6300 and 530. The value of 3
Answer:
300 and 30 respectively
Step-by-step explanation:
The 3 in each number can be valued at 3 with the same number of 0s as there are digits to the right of the 3.
For example, in 6300, the 3 stands for 300 because there are two digits (0 and 0) to the right of 3. So we know 3 stands for 300 because we add two 0s to the right of 3.
How many kg of peanuts must Heather
add to 4 kg of mixed nuts containing 60%
peanuts to make a mixture with 92%
peanuts?
37.375 kg of peanuts must be added to the 4 kg of mixed nuts to make a mixture containing 92 % of peanuts.
Total mixture of mixed nuts = 4 kg
60 % of them are peanuts.
So, we will calculate the percentage:
Let x be the amount of peanuts.
60 / 100 x = 4 kg
0.6 x = 4 kg
x = 4 kg / 0.6
x = 6.67 kg
Now let the peanuts added be y
So, 92 % of ( 4 kg + y ) should be peanuts.
So, we get the equation as:
0.92 ( 4 ) + 0.92 y = 6.67 + y
3.68 + 0.92 y = 6.67 + y
0.08 y = 2.99
y = 37.375 kg
Therefore, 37.375 kg of peanuts must be added to the 4 kg of mixed nuts to make a mixture containing 92 % of peanuts.
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the scale from a square park to a drawing is 5 m to 1 cm .the actual park has an area of 1600 m2 .what is the area of the drawing of the park
The area of the drawing of the park is 64 cm²;
Scale: Square park to Drawing = 5m:1cm
= 5m:0.01m;
Therefore; Square Park Area = 1600m²;
Drawing Area = 1600 ×(0.01/5)²
= 0.0064m² = 64 cm²
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What basic fact can you use to help you solve 500 × 4
Answer:
500 x 4
500 x 4
5 x 4 =
20
Add the two 00's from 500.
You get 2,000.
Step-by-step explanation:
Well, we can focus on the number 5 from 500 and multiply it by 4 to receive the answer of 20 because we can assume the person solving this question knows simple multiplication factors and how to solve 5 times 4. Then, we can add the two zeros from the 500. Thus, it's 2,000.
Hope this helps.
Answer:2,000
Step-by-step explanation:
500x4
take the zeros
5x4=20
then add the zeros
it will be 2,000
A prize of $20,000 is to be shared by two winners of a contest in the ratio of 6 to 4. What is the larger share worth? What is the smaller share worth?
Answer:
Mark me brainliest hope your day goes well. Will and Evie are walking to school. Their school is 0.8 miles from their home. So far, they have walked halfway (0.5). How far have they walked?
Help? What is the answer?
Answer:
at this point just hack it
The heights of all the newborns in a certain country are normally distributed,
with a mean of 18 inches and a standard deviation of 1 inch. A mother just
delivered a baby that is 16 inches long. Which of the following represents the
z-score of the baby's height? (Round your answer to two decimal places.)
The z-score of the baby's height is -2.0.
The baby's height (x) is 16 inches.A determined "center" value of a group of numbers, the arithmetic mean, is the average of the values.The mean of the heights of all the newborns in the country (µ) is 18 inches.The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.The standard deviation of the heights of all the newborns in the country (σ) is 18 inches.The z-score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed.Let the z-score be denoted by "z".z = (x-µ)/σz = (16-18)/1z = -2To learn more about standard deviation, visit :
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I need help with this rational expression
Answer:
Step-by-step explanation:
[tex]\frac{x}{y} 6x+58\\(x+3)(x+8)\\[/tex]
It costs $0.50 per square yard to waterproof canvas. What will it cost to waterproof a canvas truck cover that is 15’ x 24’? A. $6.67 B. $18.00 C. $20.00 D. $180.00
The cost to waterproof a canvas truck cover that is 15’ x 24 will be D. $180.
How to calculate the cost?It should be noted that from the information, it costs $0.50 per square yard to waterproof canvas.
Therefore, the cost to waterproof a canvas truck cover that is 15’ x 24 will be:
= 15 × 24 × $0.50
= $180.00
In conclusion, the correct option is D.
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n=.1515
You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number.
Answer:
the answer is two because ur multiplying hope this helps
(2 x 10³) x (4 x 106)
Answer: 848000
Step-by-step explanation:
(2 x 10³) x (4 x 106)
⇒2000 * 424
⇒ 848000
4. Michelle and Joyce had an equal number of stickers.
After Michelle gave away 8 stickers to her sister and
Joyce bought twice as many stickers as what she had at first,
Joyce had 4 times as many stickers as Michelle.
How many stickers did Joyce buy?
As per given condition of Joyce bought twice of she had at first ,number of stickers bought by Joyce is equal to 32.
As given in the question,
Let x represents the number of Michelle stickers
and y represents the number of Joyce stickers
As per given condition,
Michelle and Joyce had an equal number of stickers
x =y __(1)
Joyce bought twice she had at first and had 4 times as many stickers as Michelle
2y = 4(x-8) __(2)
From (1) and (2) ,
2y = 4 ( y-8)
⇒ 2y = 4y -32
⇒4y -2y = 32
⇒ 2y = 32
Therefore, as per given condition of Joyce bought twice of she had at first ,number of stickers bought by Joyce is equal to 32.
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Answer:
As per given condition of Joyce bought twice of she had at first ,number of stickers bought by Joyce is equal to 32.
Step-by-step explanation:
Q. You work for a food wholesaler that provides ingredients for restaurants and other food
producers. A large-scale bakery needs 72 pounds of raisins. The raisins come in 12-ounce
boxes. A total of 24 boxes will fit in a case. How many cases of raisins should you ship to
them?
The cases that would be shipped is 4.
How many cases would be shipped?The first step is to convert pounds to ounce
1 pound = 16 ounce
16 x 72 = 1152 ounces
The next step is to determine how many boxes would be needed.
Boxes needed = 1152 / 12 = 96 boxes
The third step is to determine the number of cases that would be shipped.
Cases that would be shipped = 96 /24 = 4
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2.21x10^3= convert the expression to decimal form
2210
Scientific notation is a way to present extremely large or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper. Additionally, a simpler method of representation was required for the numbers that appear at the millions place after the decimal. This makes it challenging to represent a small number of integers in their enlarged form. We therefore employ scientific notations.
Expanding the term,
2.21 x 1000 = 2210
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Simplify the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared.
a. 1,394
b. 1,344
c. 74
d. 24
will give brainliest to whoever answers in the next 15 minutes
Simplifying the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared is: c. 74.
ExpressionThe given expression:
(10 - 3/4 × ✓16)² + (2 - 7)²
Hence,
Now let simplify the expression
(10 - 3/4 × ✓16)² + (2 - 7)²
=(10 - 3)² + (-5)²
= 7² + 5²
= 49+ 25
= 74
Therefore simplifying the quantity 10 minus three fourths times the square root of 16 end quantity squared plus the quantity 2 minus 7 end quantity squared is: option c. 74.
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Let S be the universal set, where:
S = {1, 2, 3, ..., 18, 19, 20}
Let sets A and B be subsets of S, where:
Set A = {7, 9, 12, 13, 14}
Set B =
{1, 4, 5, 7, 16, 18, 19}
Set C= {4, 6, 8, 9, 11, 13, 15, 16, 17, 19}
LIST the elements in the set (AUBUC)
(AUBUC) = {
-Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
LIST the elements in the set (An BnC)
(An BnC) = {
}
Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE
You may want to draw a Venn Diagram to help answer this question.
The elements of (A∪B∪C) = {1, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19}
The elements of (A∩B∩C) = DNE
SetsFrom the question, we are to list the elements of the given sets
From the given information,
Set A = {7, 9, 12, 13, 14}
Set B = {1, 4, 5, 7, 16, 18, 19}
Set C = {4, 6, 8, 9, 11, 13, 15, 16, 17, 19}
We are to list the elements of (A∪B∪C)
(A∪B∪C) = {1, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19}
Also, we are to list the elements of (A∩B∩C)
(A∩B∩C) = { } OR ∅
Since this is an empty set
(A∩B∩C) = DNE
Hence,
The elements of (A∪B∪C) = {1, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19}
The elements of (A∩B∩C) = DNE
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Sharon deposits $8,000 in a 1-year CD at 2% interest, compounded daily.
What is Sharon's annual percentage yield (APY) to the nearest hundredth of a
percent?
Sharon's annual percentage yield (APY) to the nearest hundredth of a
percent is; 2.02%
How to calculate annual percentage yield (APY)?
We are told that;
Amount Deposited = $8000
Interest = 2%
Using the formula for annual percentage yield (APY), we have;
B = 8000 + (1 + (0.02/365))³⁶⁵⁽¹⁾
B = $8161.61
Interest is;
I = $8161.61 - $8,000
I = $161.61
Thus;
APY = 161.61/8000
APY = 0.0202
APY = 2.02%
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Graph the image of △RST after a reflection over the line y=x.
Answer:
Put S=(1,-10) R(-10,-8) T(-8,-9) Make sure to put a ´ after these letters when you put them down
Step-by-step explanation:
Simplify to create an equivalent expression.
−
5
(
1
−
5
k
)
−
4
(
2
k
+
5
)
Answer:
Step-by-step explanation:
1) Distribute the numbers outside of the parenthesis to the numbers inside the parenthesis. This means multiple the outside number to all the numbers that are inside the parenthesis:
-5+25k-8k-20
2) Combine the like terms. The number with k get combined together since they both have a k. The numbers without a k get combined together. When you combine, you ADD the numbers together.
-13k+5
That should be right!