Answer:
[tex]w=8[/tex]
Step-by-step explanation:
[tex]2(2w-16)=0\\4w-32=0\\4w=32\\w=8[/tex]
Answer:
w = 8
Step-by-step explanation:
2(2w − 16) = 0
Divide each side by 2
2w-16 = 0
Add 16 to each side
2w-16 +16 =0 +16
2w = 16
Divide each side by 2
2w/2 = 16/2
w = 8
A teacher claims that his coffee cools to a temperature of 100 degrees Fahrenheit in 5 minutes after he brews it at home in his single-cup coffee brewer. To further investigate this claim, the teacher measures how long it takes for his coffee to cool to 100 degrees for each of the next 30 days. He would like to carry out a t-test for one mean to determine if there is convincing evidence that the true mean amount of time it takes for his coffee to cool to 100 degrees is less than 5 minutes. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
The answer is: No, the random condition is not met.
constitutional amendment that has significantly changed the structure of congress as written in the original constitution
Find the measure of the missing angle
The two angles form a straight line and need to equal 180 degrees
180 - 61 = 119
The missing angle is 119 degrees
Please help!!!
Triangle ABC is similar to triangle PQR
AB = 4cm
PQ=12cm
RQ= 16.5 cm
AC = xcm
PR= ycm
(a) Calculate the length of BC
(b) Write down an expression for y in terms of x
Check the picture
Answer:
5.5
3y = x
Step-by-step explanation:
→ Find the scale factor enlargement
12 ÷ 4 = 3
→ Divide 16.5 by 3
5.5
→ Write SF in terms of x and y
3y = x
The Length of BC is 5.5 cm and equation for y in terms of x is y = 3x
What are similarity in triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
According to question
Triangle ABC ≅ triangle PQR
where,
AB = 4cm
PQ=12cm
RQ= 16.5 cm
AC = xcm
PR= ycm
According to the similarity rule
the same ratio of corresponding sides
therefore,
[tex]\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR} \\[/tex]
(a) Calculate the length of BC
[tex]\frac{AB}{PQ} = \frac{BC}{QR}[/tex]
⇒ [tex]\frac{4}{12} = \frac{BC}{16.5}[/tex]
⇒ [tex]\frac{1}{3} = \frac{BC}{16.5}[/tex]
⇒ BC = 5.5 cm
(b) Write down an expression for y in terms of x
we know , [tex]\frac{AB}{PQ} = \frac{AC}{PR} \\[/tex]
⇒ [tex]\frac{4}{12} = \frac{x}{y} \\[/tex]
⇒ [tex]\frac{1}{3} = \frac{x}{y} \\[/tex]
⇒ [tex]y=3x[/tex]
Hence, Length of BC is 5.5 cm and equation for y = 3x
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A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes).
Estimate the median time it will take all layers to finish this game
Based on the data, the median time it takes players to complete the game is 1148 minutes.
What is the median?It is the mathematical value that is the middle when values are sorted.
How to find the median time?Organize the values457 - 548- 866 - 952 - 976 - 1037 - 1148 - 1235 - 1245- 1431-1486 - 1759 - 1864
Identify the value of the middle
Considering there are 13 values, the value of the middle is the value number 7 or 1148.
Note: This question is incomplete because the data is missing, below I attached the missing section,
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Eli was swimming upstream in a river and lost a plastic bottle at bridge A. He noticed the loss after swimming 10 minutes , so immediately started to swim downstream to catch it. He caught it at bridge B, which was 1 mile away from bridge A. What was the rate of water flow in miles per hour?
Using proportions, it is found that the rate of water flow was of 6 miles per hour.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the bottle flowed 1 mile in 10 minutes. How much does it flow in 1 hour = 60 minutes? The rule of three is given by:
1 mile - 10 minutes
x miles - 60 minutes
Applying cross multiplication:
10x = 60
x = 60/10
x = 6.
Hence, the rate of water flow was of 6 miles per hour.
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Sam wants to create a linear function and an exponential function, both of which have a y-intercept
of (0,8) and pass through the point (9,512). Help Sam create his functions.
Step-by-step explanation:
Exponential function is
[tex]y = a \times {b}^{x} [/tex]
where a is the y intercept, or the initial value.
b is the constant rate.
Since a is the y intercept, this means a is 8. So we have
[tex]y = 8 \times {b}^{x} [/tex]
Now, plug in 9 for x. 512 for y to find b.
[tex]512 = 8 \times {b}^{9} [/tex]
[tex]64 = {b}^{9} [/tex]
[tex] \sqrt[9]{64} = b[/tex]
[tex]64 {}^{ \frac{1}{9} } = b[/tex]
[tex]4 {}^{ \frac{1}{3} } = b[/tex]
[tex] \sqrt[3]{4} = b[/tex]
So the equation is
[tex]y = 8( \sqrt[3]{4} ) {}^{x} [/tex]
The area of a circular fountain is 121π square feet.
What is the diameter of the fountain?
Answer:
22 feet
Step-by-step explanation:
The area of a circle is π · r².
So, step one is to figure out the radius, so taking that equation, we can say π · r² = 121π.
Divide both sides by π to get r² = 121
Then, you take the square root of both sides to leave r = 11.
The diameter is twice as long as the radius, so multiply 11 · 2 to get 22.
The diameter is 22 feet long.
(PLEASE HELP ASAP!! 50 POINTS! question in the image)
Find the gradients of lines A and B.
Answer:
A=4
B=-2
Step-by-step explanation:
the gradient to B is a negative coz the line is sloping downwards
Answer:
m (A) = 4
m (B) = - 2
Step-by-step explanation:
choose any 2 coordinates on line A to use it in the formulae
no need to do so for line B because the y-int and x-int both are clear.
A video game map had a total area of 16 square meters. What are two numbers that could represent the length and the width of the map?
Answer:
4 and 4
Step-by-step explanation:
4 times 4 is 16 which would equal the area.
WHOEVER RESPONDS FIRST WILL GET MARKED BEST.
A circle has a diameter of 14.5 inches. Using 3.14 for 1, what is the circumference of the circles, rounded to the nearest hundredth of an inch?
22.77 inches
45.53 inches
91.06 inches 165.05 inches
[tex]c = 2 \pi \: r[/tex]
[tex]c = 2 \times 3.14 \times 14.5[/tex]
[tex]c = 91.06[/tex]
Answer:
2nd option - 45.53 inches
Step-by-step explanation:
Circumference of a circle when given the diameter is given by the formula :
[tex]\pi d[/tex]
Since we are given a certain value for pi we use that and multiply it by the diameter to given the cirumference:
3.14 × 14.5 in =
45.53 inches
Therefore our answer is 43.53 inches (the 2nd option)
Each glass mug below has a radius of 2 inches and a height of 3.75 inches. If the mugs are
sold in sets of 4, find the total surface area of the mugs, not including
the handles.
Total surface area includes the area of the 2 bases and the area of the curve surface area this was found to be 289.064 square inches for all four mugs
Mensuration of SolidsGiven Data
Radius r = 2 inchesHeight h = 3.75 inchesNumber of mugs = 4Total surface area of cylinder = 2πr(r + h)
TSA of 1 mug = 2*3.142*2(2+3.75)
TSA of 1 mug = 12.568(5.75)
TSA of 1 mug = 72.266 square inches
if the total surface area of one mug is 72.266 square inches
hence the total surface area of 4 mugs will be
= 72.266*4
= 289.064 square inches
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What is the least common multiple? 46 and 12?
Answer:
2
Step-by-step explanation:
multiples of 12: 1, 2, 3, 4, 6, 12 (we don't use 1 in LCM)
Start with 2: 46/2 = 23, so the least common multiple is 2
The ratio of the dimensions of a rectangular patio are 4:7. if the shorter
dimension is 10 feet, What are the area and perimeter of the patio?
If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:
[tex]\frac{4}{7} =\frac{10}{x}[/tex]
You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.
[tex]\frac{4}{7}*\frac{2.5}{2.5}=\frac{10}{17.5}[/tex]
This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.
AREA
The formula for the area of a rectangle is: [tex]w*l[/tex]
So we can plug our dimensions into the formula: [tex]10*17.5=175[/tex]
So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is 175 square feet.
PERIMETER
The formula for the perimeter of a rectangle is: [tex]2(w+l)[/tex]
We can plug our dimensions into the formula: [tex]2(10+17.5)=55[/tex]
So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is 55 feet.
2. What is the measure of angley?
(2 pts.)
52°
to
Answer: the answer is 55 degrees
Step-by-step explanation:
Find area of shaded region.
area of shaded region = 1/4 of the circle area - triangle area
circle area = pi x r² = 3,14 x 2² = 12,56 m²
so 1/4 circle area = 12,56 : 4 = 3,14 cm²
and
triangle area = 1/2 x 2 x 2 = 2 m²
=> area of shaded region = 1,14 cm²
K(-3, 0), I(0, 2), and T(3, 0) are three vertices of a kite. Which point could be the fourth vertex?
The coordinates of the fourth vertex of the kite with vertices (-3, 0), (0, 2) and (3, 0) are represented by the point E(x,y) = (0, -2).
How to determine the fourth vertex of a kiteA rhomboid is a quadrilateral with two pairs of sides of equal length and two pairs of equal angles. A kite is a rhomboid whose vertices observe the following properties: [tex]P_{1} (x, y) = (-x, 0)[/tex]. [tex]P_{2} (x,y) = (0, y)[/tex], [tex]P_{3}(x,y) = (x, 0)[/tex], [tex]P_{4}(x,y) = (0, -y)[/tex].
In this question we must determine the coordinates of the fourth vertices according to the kite characteristics. After a quick comparison in the known points, the coordinates of the fourth vertex are E(x,y) = (0, -2).
The coordinates of the fourth vertex of the kite with vertices (-3, 0), (0, 2) and (3, 0) are represented by the point E(x,y) = (0, -2). [tex]\blacksquare[/tex]
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The expression 0.09x+(x−30) models the final price of a bicycle with an instant rebate in a state that charges a sales tax. The tax is on the original price.
Which expression represents the amount of tax that is paid on the bicycle?
ANSWER
I believe that the amount of the instant rebate is $30. X represents the price of the bike, and 0.09 is the sales tax.
So if the bike cost $100:
0.09(100) + (100-30) = 9 + 70 = $79
Although I think I would want them to tax the bike after the instant rebate and not on the original price.
If I'm wrong about the instant rebate then it would be 1.09x-30. Hope this helps.
the ratio of 20 paise to Rupees 1 is option 1:5, 2:1 , 20:1, 2:3
Answer:
1:5
Step-by-step explanation:
divide by 20 on both sides, 5 : 1.
A rugby match lasts for 80 mins. 20 mins of a match have been played. a) what Fraction of he match has been played? b) what percentage of the match is there left to play?
Answer:
a, 1/4
b, 75%
Step-by-step explanation:
a, total mins meant to be played = 80mins
mins being played = 20mins
fraction of the match being played = 20 /80 = 1/4
b, percentage of the match left to be played
= 80 - 20 = 60
then we find the fraction of the match meant to be played
60 / 80 = 3 /4
then we multiply by 100 to get the percentage
3/4 × 100 = 75 %
if this helped pls give brainliest
Write an addition equation or a subtraction equation (your choice!) to describe the diagram.
Answer:
-9 - 2 = -11
Step-by-step explanation:
please help? , no decimals please,please explain to see picture.
Answer:
[tex]8x\sqrt{3xy[/tex]
Step-by-step explanation:
SUB - Mathematics
Grade - 9th
Q.1) Visualise 3.765 on the number line , using Succescive Magnification.
Note:-
• Kindly Don't spam
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Step-by-step explanation:
Introduction:-Successive magnification:
In this process, we use to represent real numbers and visualize them on the number line such as by the magnifying glass, due to this we refer it as successive magnification.
Solution:-Since, we're given to visualize 3.765 on the number line, we take the number line from between 3 and 4Then, in between 3 and 4, we then visualize the portion of 3.7 and 3.8Again, in between 3.7 and 3.8, we visualize the portion of 3.76 and 3.77.At last, we point out the required number for visualizing that is 3.765, in between 3.76 and 3.77.How would I reduce this to lowest terms?
Since "a" is on the top and the bottom, you can simplify that
[tex]\frac{a^2b^2}{ac}[/tex]
[tex]\frac{ab^2}{c}[/tex]
Shane went bowling with his friends. The bowling alley charges $20 for an hour of group bowling plus a fee to rent each pair of shoes. Shane's group bowled for one hour, rented 4 pairs of shoes, and paid a total of $31. Which equation can you use to find the fee, x, to rent each pair of shoes?
Answer:
4x+20=31
Step-by-step explanation:
So one hour of bowling is 20 dollars and they bowled for one hour hence the 1x20 which is equal to 20. That is the base coast we add to the variable of x that is the cost of renting one pair of shoes. And since they rented 4 pairs of shoes you multiply x by 4 to get 4x. Add the 20 dollars they paid to bowl and it is 4x+20. They paid 31 dollars in total so equal the equation to 31. 4x+20=31. Solution is $2.75 per pair of shoes. (If you want an explanation as to how to get the answer, just ask
yo can i get a hand here just so i dont get it wrong
[tex]__________________________[/tex]
B. 72 IS THE QUOTIENT OF THE EXPRESSION72 is an addend in the expression and not the quotient.PLEASE HELP WORTH 20 Point A is on line EB between points E and B, and ray A F forms adjacent angles EAF with a measure of 3x and FAB with a measure of 2x. Solve for x. X = 5° x = 18° x = 30° x = 36°
Answer:
x = 36
Step-by-step explanation:
Assuming that line EAF + FAB = 180, we can substitute the lines with their x values to become 3x + 2x = 180 = 5x
Then x = 180/5 = 36
The measure of x for the given angles is 36° so option (D) will be correct.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The angle is the measurement of the angular distance.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Given that A is in between of line joining by EB so EAB is a straight line and ∠EAB = 180°.
Now,
∠EAB = 180°
∠EAF + ∠FAB = 180°
3x + 2x = 180
5x = 180
x = 36°
Hence "The measure of x for the given angles is 36°".
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what is 698 352 nearest to 1000
Answer: 698352.000
698352 rounded to the nearest 1000 is 698352.000
Which set of numbers could represent the lengths of the sides of a right triangle?
13, 21, 34
8, 14, 21
15, 18, 26
12, 16, 20
Answer:
9*9+40*40=41*41
Step-by-step explanation:
The largest length is always the hypotenuse. If we were to multiply any triple by a constant, this new triple would still represent the sides of a right triangle. Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would represent the sides of a right triangle.