Answer:
102
Step-by-step explanation:
-(x + y) + (x - y) = ⇒ opening parenthesis-x - y + x - y = ⇒ simplifying, x gets cancelled-2y = ⇒ replacing y with -51-2* (-51) =102 ⇒ answerHoward is designing a chair swing ride. The swing ropes are 5 meters long, and in full swing they tilt in an angle of 29 degrees. Howard wants the chairs to be 2.75 meters above the ground in full swing. How tall should the pole of the swing ride be?
Answer:
Step-by-step explanation:7.12 meters tall
An agriculture company is testing a new product that is designed to make plants grow taller. This can be thought of as a hypothesis test with the following hypotheses.H0: The product does not change the height of the plant.Ha: The product makes the plant grow taller.Is the following an example of a type I or type II error?The sample suggests that the product makes the plant grow taller, but it actually does not change the height of the plant.a) Type Ib) Type II
Answer:
The error made here is a Type I error.
Step-by-step explanation:
A Type I error is the rejection of a null hypothesis (H₀) when indeed the null hypothesis is true. It is symbolized by α.
A Type II error is failing to discard a null hypothesis when indeed the null hypothesis is false. It is symbolized by β.
The hypothesis in this case is defined as follows:
H₀: The product does not change the height of the plant.
Hₐ: The product makes the plant grow taller.
The sample suggests that the product makes the plant grow taller, but it actually does not change the height of the plant.
So, the sample suggests to reject the null hypothesis when in fact the null hypothesis is true.
Thus, the error made here is a Type I error.
10201 soldiers have queued up for an attack such that the number of queues is equal to number of the soldiers in each queue. Find number of soldiers in queue.
Answer:
101
Step-by-step explanation:
Given the following :
Number of soldiers = 10201
They are queued such that the number of queues = number of soldiers in each queue
Let number of queues = q
Therefore, if number of queues equals number of soldiers per Q,
Then ;
q × q = 10201
q^2 = 10201
Take the square root of both sides
q = √10201
q = 101
Number of soldiers per queues = 101
what is the area of the shaded region?
Answer:
330.00cm²
Step-by-step explanation:
find the area of both circles and subtract the smaller one from the bigger one.
area of a circle= πr²
π wasn't given so I will use 22/7
so area of the bigger circle = 22/7 × 11²
=22/7 × 121
=380.28cm²
area of the small circle=22/7 × 4²
= 22/7 × 16
= 50.28cm²
Area of the shaded portion = 380.28 - 50.28
= 330.00cm²
can i help please??? :) Is 3.22×10 to the 4 power equal to 32,200?
Answer:
Yes
Step-by-step explanation:
we move the decimal point 4 times to the right
1st time
32.2
2nd time
322
3rd time
3220
4th time
32,200
Answer:
No
Step-by-step explanation:
3.22 x 10 = 32.2
32.3 to the fourth power = 107.50
107.50 < 32,200
Therefore it is not equal to 32,200
Joaquin used two types of flour in a muffin recipe. How much flour did he use in all? Solve any way you choose.
Answer:
3 1/6 cups of flour.
Step-by-step explanation
On a distant planet, a ball is thrown upwards from ground level, reaching a maximum height of 12m and hitting the ground again in eight seconds. Determine a quadratic equation in the form ax^2 + bx^2+c = 0 that could be used to calculate when the ball is at a height of 3m. Do not solve the equation.
Answer:
(-3 ÷ 4)x^2 + 6x
Step-by-step explanation:
Data mentioned in the question
Maximum height = 12m
Number of seconds = 8
Height = 3m
Depend on the above information, the quadratic equation is shown below:
As it took 8 seconds to hit the maximum altitude and it reverted to the ground floor, this graph also reflects the motion in parabola after 4 seconds, so that the a must be negative
Now it is given that
a × x ^ 2 + bx + c =0
We can considered that
x = 0
x = 8
As {0.8} are intercepts of x
When x = 0, then it is
a × 0 ^ 2 + b(0) + c = 0 .................... (i)
Hence 0 = 0
Now x = 8, it is
a × 8 ^ 2 + b(8) + c = 0
Hence a(8)^2 + b(8) + c = 0 ..................(ii)
As it can be seen that in the first equation c must be zero
Whereas the second equation is
64a + 8b = 0
i.e.
8a = -b or a = -b ÷ 8
Now according to the quadratic function, it presented
(-b ÷8)x^2 + bx + 0
So, the parabola vertex is (4, 12)
Now place this in the place of a
(-b ÷ 8)(4)^2 + b(4) = 12
And for calculating this b, all terms must be multiplied by 8
That appears
-b(16) + 32b = 96
16b = 96
So, b = 6.
As a = -b ÷8
a = -6 ÷ 8
a = -3 ÷4
So, the equation is
= (-3 ÷ 4)x^2 + 6x
Hence, this is the equation
Which of the following would cause an increase in heat? freezing compression stirring friction
Answer:
Compression, stirring, and friction all increase heat
Step-by-step explanation:
I did a lesson on it and got it right
A circle has a circumference of 153.86153.86153, point, 86 units.
What is the radius of the circle?
Answer:
Step-by-step explanation:
C=153.86153...
100000C=15386153.86153...
subtract
99999C=15386000
C=15386000/99999
2 π r=15386000/99999
r=7693000/99999π≈24.5
Below are a list of costs and discounts for groceries. Round to the nearest dollar to estimate the total cost
+ $12.34
+ $5.07
- $0.73
+ $2.84
- $1.50
Answer:
$18
Step-by-step explanation:
$18.02 rounds to $18
Answer:
$17
Step-by-step explanation:
Rounded, the listed numbers are ...
12 + 5 -1 +3 -2 = 17
The estimate of total cost is $17.
Help !!! Thank you a lot!!
Answer:
E) 45
Step-by-step explanation:
Since b is 90 degrees, and lines CB and BA are equal (as seeen with the 2 lines across them) we can assume that this angle is 45 degrees, half or 90 degrees.
Angle C is also equal to angle A
Answer:
E
Step-by-step explanation:
Using the fact that the sum of angles in a triangle is 180 degrees, we can write the following equation to solve for 3x:
3x + 3x + 90 = 180
3x + 3x = 90
2 * 3x = 90
3x = 45°
Scores on the Mathematics section of the SAT Reasoning Test form a normal distribution with a mean of μ = 500 and a standard deviation of 100. What is the minimum score necessary to be in the top 10% of the distribution?
Answer:
The minimum score necessary to be in the top 10% of the distribution is 628.
Step-by-step explanation:
Given that a normal distribution has a mean of μ = 500 and a standard deviation = σ= 100
The Significance level for this test = 10 % = 0.1
For one tailed test ∝= 0.1 the value of Z∝= ±1.28
Since it a normal distribution the test statistic used is
Z= X= u / σ/√n ( taking n= 1)
1.28 = X- 500/100/√1
128 + 500 = X
or X = 628
The minimum score necessary to be in the top 10% of the distribution is 628.
find the midpoint of the line segment whose endpoints are
(5,9) (2,-1)?
Answer:
(3.5,4)
Step by step explanation:x coordinate =
[tex] \frac{5 + 2}{2} [/tex]
= 3.5
y coordinate =
[tex] \frac{ - 1 + 9}{2} [/tex]
= 4
midpoint = (3.5,4)
Answer:
( 3.5,4)
Step-by-step explanation:
To find the midpoint
Add the x coordinates together and divide by 2
(5+2)/2 = 7/2 = 3.5
Add the y coordinates together and divide by 2
(9+-1)/2 = 8/2 = 4
( 3.5,4)
Please help At a party of 102 people, 72 lb of potato salad is served. Write and solve and equation to find how many people each pound of potato salad serves.
Answer:
1.417
Step-by-step explanation:
102/72=1.417
What is the correct prime factorization of 24
2^3 * 3^1
Go step by step. 24 = 2 x 12. 12 = 2 x 6. 6 = 2 x 3. We can't factor any more.
Therefore, we have 12 = 2 x 6, and since 6 = 2 x 3, we get 12 = 2 x 2 x 3.
Then 24 = 2 x 12, and 12 = 2 x 2 x 3, so 24 = 2 x 2 x 2 x 3.
There are 3 2's and 1 3's, so it's 2^3 * 3^1.
Hope that helped,
-sirswagger21
Answer:
24=2*12=2*6=2*3
Step-by-step explanation:
I could not draw the tree diagram
to do it you take a prime number it is divisible by and a composite number it is divisible by and you prime factorise the composite number and repeat until you get prime numbers
31y+12y= combine like terms
Answer:
43y
Step-by-step explanation:
31y+12y
combine like terms
Factor out y
y( 31+12)
y (43)
43y
Since we are dealing with two numbers with the same variable (y), all we need to do is combine like terms.
31y + 12y = 43y
Best of Luck!
Use the Law of Sines to find the missing angle of the triangle.
Find m < C to the nearest tenth if the c= 102, a = 71 and m < A=40
Answer:
66.9 degrees
Step-by-step explanation:
The Law of Sines states that a/sinA = c/sinC. Plugging in the values for c, a, and M < A, we get:
71/sin40 = 102/sinC
Cross multiplying, we get:
102(sin40deg) = 71(sinC)
Now, we simplify the left side and get:
65.56 = 71(sinC)
Next, we divide 65.56 by 71 to get:
0.92 = sinC
Taking the inverse sign we get:
C = 66.9 degrees
what means by this*
Answer:
star or asterisk if you are talking about (*)
Answer:
(*) is similar to (×)
and it means multiply
*PLEASE ANSWER TY* What is the volume of this prism?
Answer:
80 cube units
Step-by-step explanation:
Shape 1 and shape 2 are plotted on a coordinate plane which statement about the shapes is true?
DA Shape 1 and shape 2 are not congruent.
B A translation will prove that shape 2 is congruent to shape 1.
C. A rotation and a translation will prove that shape 2 is congruent to shape 1
OD. A reflection a rotation, and a translation will prove that shape 2 is congruent to shape 1
Answer:
The answer is D. A reflection, a rotation and a translation will prove that shape 2 is congruent to shape 1.
Can someone answer this please? Okay so it says that something is made 3 times than the other item. The other item uses 13 beads. So, what is 13 times 3?
Answer:
13x3= 39
Step-by-step explanation:
10x3=30
3x3=9
30+9=39
Hope it helps!
I need a lot of help
To add fractions with different denominators you must find the highest common factor (the highest number they both go into).
For 1 - The highest common factor is 8, 2x4 = 8, 4x2 = 8
now, whatever you do to the bottom, you must do to the top.
So:
3 x 2 = 6 and 5 x 4 = 20
Therefore, your answer would be 6/8 + 20/8
You do that for the rest of them as well, do you get it?
Answer:
3/4 + 5/2 = 3/4 + 10/4 = (3+10)/4 = 13/43. 4/15 + 4/5 = 4/15 + 12/15 = (4+12)/15 = 16/15
5. 2/3 + 7/10 = 20/30 + 21/30 = (20+21)/30 = 41/30
Write the ratio as a fraction in simplest form.
0.65 to 0.15
Answer:
13/3
Step-by-step explanation:
Write as a fraction first,
0.65/0.15
convert decimal to fractions,
13/20/3/20 = 13/3
Help please, I would really appreciate it. :)
Answer:
9, 13, 17, 21
Step-by-step explanation:
If x=2,
y=1+4(2)
y=9
This goes on, like a pattern. If x increases by 1, y inreases by 4. So, if y=3, x=13. If x=4, y=17, and so on.
About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number.
183 meters
250 meters
366 meters
683 meters
Answer:
A. 183 meters
Step-by-step explanation:
Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B. About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number. A) 183 meters B) 250 meters C) 366 meters D) 683 meters
Find distance BC
Cos (60°)=BC / AB (Adjacent divided by the hypotenuse)
Cos (60°)=1/2
BC=a
AB=500
Cos (60°)=BC / AB
1/2=a/500
1/2 * 500=a
250=a
a=250m
Find distance AC
Sin(60°)=AC/AB (opposite side divided by hypotenuse)
Sin(60°)=√3/2
AC=b
AB=500
Sin(60°)=AC/AB
√3/2=b/500
√3/2 * 500=b
250√3=b
b=433m
Distance AC and BC=AC+BC
433m+250m=683m
Subtract the distance AB from AC+BC
= 683m - 500m
=183m
Answer is A. 183 meters
Answer:
A. 183 meters
Step-by-step explanation:
sin(60) = x/500
= 433
tan(60) = 433/x
= 250
This is the driving distance. 433+250= 683. Directly walking (using hypotenuse distance) is 500.
683-500=183!
a hotel manager wants miriam to tile their lobby using the dame design she created for Mr.Rivera.The lobby measures 45 feet by 45 feet. he wants the outer edge to be the same color as the center tile. will this occur ? justify your answer
Answer:
Yes it will occur
Step-by-step explanation:
The lobby measures 45 feet by 45 feet
Area of the lobby = 45 * 45
=2025 ft^2
So, the lobby has 2025 tiles
subtract 1 black tile in the center
2025 tiles - 1 black tile =2024 tiles
The number of blue tiles and black tiles is 2024 tiles
He wants the outer edge to be the same color as the center tile so, divide by 2
2024/2 = 1012 tiles
The number of tiles in the outer edge is 1012 tiles and the number of tiles in the center is 1012 tiles
Write the expression 12^-2 in simplest form?
Answer:
12 to the power of -2 is 0.00694444444
Step-by-step explanation:
When ever doing a number to the power of a negative number, the result will always be a fraction of a number.
Or
Fraction:
1/12^2
which is
1 / 144
Percentage:
0.00694444444 * 100 = 0.694444444%
Hope this helps, have a good day :)
(brainliest would be appreciated?)
The simplest form of the given expression [tex]12^{-2}[/tex] is 1/144.
The given expression is,
[tex]12^{-2}[/tex]
Here we can see that 12 has inverse power of 2.
Simplify it using basic rules of exponents.
To do so, we need to understand that a negative exponent indicates that the base should be inverted.
In other words, [tex]12^{-2}[/tex] is the same as 1/12²
To simplify this further,
Evaluate 12², which is,
12² = 12 x 12
= 144
Therefore, 1/12² can be expressed as 1/144.
Hence,
In the simplest form, we can write [tex]12^{-2}[/tex] as 1/144.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
A Water flows through a pipe at a rate of 10 milliliters every 8.5 seconds. Express this
rate of flow in liters per minute. Round your answer to the nearest hundredth
Answer:
The answer to the nearest hundredth is 0.07 liters per minute
Step-by-step explanation:
In this question, we are told to express the given metric in liters per minute.
The key to answering this question, is to
have the given measurements in the metric in which we want to have the answer.
Hence, we do this by converting milliliters to liters and seconds to minute.
Let’s start with milliliters;
Mathematically;
1000 milliliters = 1 liters
10 milliliters = x liters
x * 1000 = 10 * 1
x = 10/1000
x = 1/100
x = 0.01 liters
For the seconds;
We need to convert the seconds to minutes;
Mathematically;
60 seconds = 1 minute
8.5 seconds = y minutes
60 * y = 8.5 * 1
y = 8.5/60
y = 0.14167 minutes
Now, our rate of flow is liters per minute, that means we have to divide the volume by the time;
Hence, we have ;
0.01/0.14167 = 0.070588235294
Which to the nearest hundredth is 0.07
x + y = 0
y = 2x + 6
8
Now graph y = 2x + 6 What are the graphing points (there needs to be 3 pairs)
Answer:
(-3,6) (1,8) (2,10) and so on.
19) Caculate the unit rate. Driving 95 miles on 3 gallons of
gas. How many miles are driven on 1 gallon of gas?
Answer:
31.6666666 miles / gallon
Step-by-step explanation:
Take the miles and divide by the gallons
95 miles / 3 gallons
31.6666666 miles / gallon