Answer:
we can do it by simplifying 8 to [tex]2^3[/tex] to make both powers base two, and subtracting the exponents.
Step-by-step explanation:
We have been given the expression [tex]\frac{2^5}{8}=2^2[/tex]
8 can be rewritten as [tex]2^3[/tex]
Hence, the given expression becomes
[tex]\frac{2^5}{2^3}=2^2[/tex]
After subtracting the exponents on left hand side of the equation we get:
[tex]2^2=2^2[/tex]
we can do it by simplifying 8 to [tex]2^3[/tex] to make both powers base two, and subtracting the exponents.
Answer:
cStep-by-step explanation:
We have been given the expression 2^5/8=2^2
8 can be rewritten as 2^3
Hence, the given expression becomes
2^5/2^3=2^2
After subtracting the exponents on left hand side of the equation we get:
2^2=2^2
we can do it by simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents.
For every increase of one on the Richter scale, an earthquake is ten times more powerful. Which of the following models this situation? A.linear function with a negative rate of change B.linear function with a positive rate of change C.exponential decay function D.exponential growth function
Fred has 4 pencils (red, blue, green, and yellow), 3 notebooks (plain, lined, graph), and 9 pieces of chalk (all different colors). He always takes one pencil, one notebook, and one piece of chalk to class.
If he wanted to take a unique combination to class every day, how many days would he be able to do this before he would be forced to repeat one of the combinations?
prove the identity cos(x-y)-cos(x+y)=2sinxsiny
Answer:
see the procedure
Step-by-step explanation:
we know that
[tex]cos(X - Y) = cosX cosY + sinX sinY\\cos(X + Y) = cosX cosY - sinX sinY[/tex]
so
[tex]cos(X - Y)-cos(X + Y)=cosX cosY + sinX sinY-(cosX cosY - sinX sinY)[/tex]
[tex]cos(X - Y)-cos(X + Y)=cosX cosY + sinX sinY-cosX cosY + sinX sinY[/tex]
[tex]cos(X - Y)-cos(X + Y)=sinX sinY+ sinX sinY[/tex]
[tex]cos(X - Y)-cos(X + Y)=2sinX sinY[/tex] ----> is verified
Carrie's Catering is having a special on their box lunches. The minimum purchase is 13 boxes for $91. Each additional box is $5. If x represents the number of boxes over the minimum, which of the following equations represents the cost of box lunches during this special?
Sam finds that the area of a square measured in yards is 16. How could the this measurement be written? Check all that apply.
16 yards
16 square yards
16 yards2
16 sq. yards
16 squares
Answer:
The answer is: B,C,D
Step-by-step explanation:
16 square yards
16 yards2
16 sq. yards
In a sale, normal prices are reduced by 20%. The sale price of a shirt is £26. Calculate the normal price of the shirt
The original price of the shirt before the 20% discount was £32.50.
Explanation:In your question, you've stated that a shirt was bought at a sale price of £26, after a reduction of 20%. Therefore, the 20% reduction is equivalent to the difference between the original price and the sale price. To find the original price, we need to understand that the £26 is 80% of the original price as 100% (the original price) minus the 20% reduction equals 80%. So, we can set up the equation as follows:
0.80(x) = 26
To find the value of x (the original price), we divide both sides of the equation by 0.80
x = 26 ÷ 0.80
Therefore, the original price of the shirt was £32.50.
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Kyle exercised hours on Wednesday, hours on Thursday, and hours Friday. How many hours did Kyle exercise in the three days? A. 11 1/26 B. 8 11/16 C. 8 3/26 D. 4 3/16
Problem
Phil received a prize of x dollars from a poker tournament. The tournament cost him 100 dollars to enter.
What were Phil's net winnings from the tournament?
Write your answer as an expression.
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
A.102 cm²
B.135 cm²
c.168 cm²
d.340 cm²
a carpenter needs 30 rafters, each 380cm long. find the total length of rafters in meters. (2 steps)
Simplify the expression. 8 – 3(–12x + 2)
29,39,59 and 79. What is the composite number
On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(1, 2). What is the length of Side RT of the polygon?
Answer:
The length of Side RT of the polygon is [tex]7\ units[/tex]
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
we have
[tex]R(-6,2)\\T(1,2)[/tex]
substitute the values
[tex]d=\sqrt{(2-2)^{2}+(1+6)^{2}}[/tex]
[tex]d=\sqrt{(0)^{2}+(7)^{2}}[/tex]
[tex]dRT=7\ units[/tex]
Seven-tenths of a number decreased by thirteen is equal to three-tenths the number increased by 13. Find the number.
A bakery supplier receives an order for 2 tons of sugar from a bakery chain. The sugar is shipped in crates. Each crate holds eight 10 pound bags of sugar. How many crates does the supplier need to ship to fulfill the order?
Write the resultant of the 2 vectors as an ordered pair. <5, -2> and <0,0>
The two triangle-shaped gardens are congruent. Find all of the missing side lengths and angle measures. Show any necessary work.
The value of the variables u, v, w, y, and z will be 6.2 yards, 7.9 yards, 52°, 38°, and 10 yards, respectively.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The two triangle-shaped gardens are congruent. Then the corresponding side will be equal. Then we have
u = 6.2 yards
v = 7.9 yards
y = 38°
w + y = 90°
w + 38° = 90°
w = 52°
z = 10 yards
The value of the variables u, v, w, y, and z will be 6.2 yards, 7.9 yards, 52°, 38°, and 10 yards, respectively.
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What is the volume of the triangular prism to the nearest whole unit?
A. 864 ft^3
B. 432 ft^3
C. 216 ft^3
D. 492 ft^3
Answer: B
Step-by-step explanation:
The solution is Option B.
The volume of the triangular prism is given by the equation V = 432 feet³
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
Let the volume of the prism be represented as V
Now , the equation will be
Let the base area of the prism be B
Let the height of the prism be h = 2 feet
Now , the length of the prism L = 18 feet
The width of the prism W = 12 feet
So , the base area B = L x W
Substituting the values in the equation , we get
The base area of the prism B = 216 feet²
So , Volume of Prism = B x h
Substituting the values in the equation , we get
Volume of Prism V = 216 x 2 feet³
Volume of Prism V = 432 feet³
Hence , the volume of prism is 432 feet³
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Help pleasee just number 5
an example of an equation that is a linear function explain why it is linear
How many 4-letter code words can be made using the letters in the word pencil if : (a) Repetitions are permitted?
Final answer:
The total number of code words is 6 x 6 x 6 x 6, which is 1296 possible code words.
Explanation:
To determine how many 4-letter code words can be made using the letters in the word 'pencil' with repetitions permitted, we consider that each position in the 4-letter code word can be filled by any of the 6 letters from the word 'pencil'. Therefore, for each position, there are 6 choices.
Using the fundamental counting principle, the total number of possible 4-letter code words given that repetitions are allowed is calculated as follows:
First position: 6 possibilitiesSecond position: 6 possibilitiesThird position: 6 possibilitiesFourth position: 6 possibilitiesThus, the total number of code words is 6 x 6 x 6 x 6, which is 1296 possible code words.
Which property justifies the following statement? If 3 ● m∠Q − 17 = 30, then 3 ● m∠Q = 47.
Answer: Addition Property of Equality
Step-by-step explanation:
Gary painted some shapes. Select one number from each column to show a fraction greater than 1 that names the parts Gary painted
Which type of function is represented by the table of values below?
x
y
1
4
2
16
3
64
4
256
5
1,024
exponential
linear
quadratic
square root
Answer:
Exponential :)
Step-by-step explanation:
Hannah is drawing a map using 1/2 inch=20 miles
The towns of denton and Harper are 56 miles apart. what is the distance in inches between the two cities on the map?
Find the principal square root of each expression. Show your work.
Ms. Reynolds has a system of 10 sprinklers that water her entire lawn. The sprinklers run one at a time, and each runs for the same amount of time. The first 4 sprinklers run for a total of 50 minutes. How long does it take to water her entire lawn?
*please explain how you got the answer if possible*
Final answer:
To water the entire lawn with 10 sprinklers, each running for the same amount of time, it will take a total of 125 minutes.
Explanation:
Ms. Reynold's system of sprinklers is designed to run sequentially, with each sprinkler getting an equal duration of run time. We know that the first 4 sprinklers run for a total of 50 minutes.
To find out how long one sprinkler runs, we divide the total time of 50 minutes by the number of sprinklers that have run, which is 4:
50 minutes ÷ 4 sprinklers = 12.5 minutes per sprinkler.Now that we know each sprinkler runs for 12.5 minutes, we can calculate the total time to run all 10 sprinklers by multiplying the time per sprinkler by the total number of sprinklers:
12.5 minutes per sprinkler × 10 sprinklers = 125 minutes.Therefore, it will take 125 minutes to water her entire lawn using all 10 sprinklers.
The movie theater received a shipment of candy boxes in a carton that has a volume of about 64,000 cubic inches. Each candy box is 6 inches by 5 inches by 1/2 inch. The carton is completely full. About how many candy boxes are in the carton? About 10,000 About 4,000 About 1,000 About 2,000
heeeeeeeeeelp
Name the property shown. (9 + 4) + 10 = 9 + (4 + 10)
Which of the following measuring instruments helps to measure large curved surfaces conveniently? A. Spherometer B. Calipers C. Measuring tape D. Ruler