Answer:
[tex]5(x-2)^2[/tex]
Step-by-step explanation:
[tex]5x^2-20x+20\\=5(x^2-4x+4)\\=5(x-2)(x-2)\\=5(x-2)^2[/tex]
Suppose we choose7 objects without replacement from 9 objects
Answer:
181 440Step-by-step explanation:
We have 9 choices for Choosing the first object
8 choices for Choosing the 2nd object
.
.
.
3 choices for Choosing the seventh object
Therefore if we want to choose7 objects without replacement from 9 objects we have : 9×8×7×6×5×4×3 = 181 440
Also ,we can calculate it this way :
9P7 = 181 440
PLSSSS HELP ME WITH THIS!!!!!
Answer:
A
Step-by-step explanation:
(5,2)
(5+1,2-1)
(6,1)
Dilation of 2 from origin
6x2=12
1x2=2
(12,2)
STATISTICS MATH PLS HELP - In a study of the accuracy of fast food drive through orders, McDonald’s had 33 orders that were not accurate among 362 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%.
Answer:
See below for all information
Step-by-step explanation:
Given Information
Observed Sample Proportion: [tex]p=\frac{33}{362}\approx0.0912[/tex]Hypothesized Population Proportion: [tex]p_0=0.10[/tex]Sample Size: [tex]n=362[/tex]Significance Level: [tex]\alpha=0.05[/tex]We should conduct a two-tailed one-proportion z-test (remember to double the p-value to consider both tails!)Assume conditions are metNull and Alternate Hypotheses
Null: [tex]H_0:p=0.10[/tex] (this tells us that the actual proportion of inaccurate orders of 10% is equal to the observed proportion of inaccurate orders)Alternate: [tex]H_1:p\neq0.10[/tex] (this tells us that the actual proportion of inaccurate orders of 10% is NOT equal to the observed proportion of inaccurate orders)Determine z-statistic
[tex]\displaystyle Z=\frac{p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}=\frac{\frac{33}{362}-0.10 }{\sqrt{\frac{0.10(1-0.10)}{362}}}\approx-0.5606[/tex]
Determine p-value from z-statistic
[tex]2\cdot P(Z < -0.5606)=2\cdot\text{normalcdf}(-1E99,-0.5606)\approx2\cdot0.28753\approx0.5751[/tex]
Draw conclusion of p-value based on given significance level
Since [tex]p > 0.05[/tex], we fail to reject the null hypothesis. This means that we do have sufficient evidence to say that the observed rate of inaccurate orders is equal to 10%, making it extremely likely that the null hypothesis is true.
Two candles of equal length are lit simultaneously at 12:00 pm. Candle 1 has 6 hours of burn time before it completely melts away. Candle 2 has 9 hours of burn time before completely melting away. When will Candle #2 have 3 times as much wax remaining as Candle #1?(You must be within 1 minute to be considered correct)
By finding the equations for the length of the candles as a function of time, we will see that the answer is 3.27 hours.
When will Candle2 have 3 times as much wax remaining as Candle1?
Here we assume that:
Both candles have the same original length L, and both decrease a constant rate.
Candle 1 is consumed in 6 hours, so it is consumed at a rate of:
L/6h.
This means that after a time t in hours, the length of candle 1 is:
L₁(t) = L - (L/6h)*t
For candle 2, the rate is:
L/9h
And the function for the length of candle 2 is:
L₂(t) = L - (L/9h)*t
Now we want to find the value of t such that:
L₂(t) = 3*L₁(t)
So we just solve:
L - (L/9h)*t = 3*(L - (L/6h)*t)
L - (L/9h)*t = 3L - (L/2h)*t
(L/2h)*t - (L/9h)*t = 3L - L = 2L
(5.5L/9h)*t = 2L
t = 2*(9h/5.5) = 3.27 h
After 3.27 hours, candle 2 will have 3 times the wax that candle 1 has.
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The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below:
Step 1: 2(y + 4) = 4y
Step 2: 2y + 6 = 4y
Step 3: 2y = 6
Step 4: y = 3
Which of the following explains how to correct Step 2 and shows the correct value of y?
The equation should be y + 4 = 4y after division by 2: y = 5
The equation should be y + 4 = 4y after division by 2 y = 2
O2 should be distributed as 2y + 8,
O2 should be distributed as 2y + 8, y = 2
Answer:
2(y+4)=4y
2y+8=4y
8=4y-2y
8÷2=y
4=y
Therefore y =4
The point {-1,5} is reflected over the y-axis. Where is the location of the new
image?
A (1,-5)
B(1,5)
C(5, 1)
D (-1,-5)
Answer:
B (1, 5)
Step-by-step explanation:
When a point is reflected over an axis, the coordinate which corresponds to that axis does not change. The other coordinate becomes negative with respect to the current value.
Hence, since the y-axis is mentioned, the y-coordinate does not change and the x-coordinate becomes negative.
New point = (-(-1), 5)New point = (1, 5)Option BAnswer: The answer i "B"
Step-by-step explanation: No need for a long explanation im sure of it the answer is surely, B
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Which point in the coordinate plane represents the location of the ordered pair
(3.75,-2.25)?
K
M
any help?
A : Point M
B : Point N
C : Point L
D : Point K
Rewrite the following equation in standard form.
y = 5x − 8
Answer:
Step-by-step explanation:
in standard form it is
5x - y = 8
How do I find an angle degree in a right triangle using cos, sin or tan? I have the opposite length and the adjacent. 2 for opp, 7 for adj. I did tan (B) = 2/7 but then I am stuck
Answer:
15.945°
Step-by-step explanation:
tan A = opp/adj
You are correct to use the tangent function.
You are also correct in writing
tan (B) = 2/7
You are not finding the tangent of a degree angle measure.
You are doing the opposite. You know what the tangent of an angle equals, and you need to find out the angle measure.
For that, you need to do the inverse tangent.
If you have a calculator, divide 2 by 7.
Then press the second function key followed by the tangent key.
The tangent key has "tan".
The second function on the tangent key is the inverse tangent, and its symbol is [tex] \tan^{-1} [/tex].
In this case, the exponent -1 is not really an exponent. It really is function notation for the inverse function.
[tex] \tan^{-1} \dfrac{2}{7} = 15.945^\circ [/tex]
what is the explicit formula cor ths geometric sequence 224,112,56,28
a_n=224(1/2)^n-1
*
Drag each graph to show whether it is a function of x or not a function of x. If there is
not enough information to tell
By using the vertical line test, we conclude that graphs 4 and 5 don't represent functions.
Which of the shown graphs are not functions?
The criteria to know when a graph represents or not a function, is to draw a vertical line and see if the line intersects the graph in more than one point. (This is called the vertical line test).
If you do that with graphs 4 and 5, you will see that these two do not represent functions.
For the other graphs is immediate to know that:
graph 1: represents a linear function.graph 2: represents a constant linear function.graph 3: represents a quadratic function.graph 6: represents a piecewise function.If you want to learn more about functions:
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Find the distance between each pair of points.
on graph paper.
K = (-21, -29) and L = (0, 0)
Answer:
~36 units apart
Step-by-step explanation:
(-21 - 0) = -21 (-29 - 0) = -29-21^2 = 441 -29^2 = 841441 + 841 =1282square root of 1282 is 35.8035.80 is ~36~36 units
Find the distance between the pair of points.
(-1, -2) and (-3, 7)
Step-by-step explanation:
this is the sum
hope you understand
Write the following ratio as a reduced fraction. Simplify your answer when possible: 12 to 33
Answer:
4/11
Step-by-step explanation:
a ratio is a fraction:
a:b or a to b
= a/b
so 12:33
= 12/33, which can be reduced to 4/11 when dividing the numerator and denominator by 3
PLEASE HELP WILL MARK BRAINLIEST
Answer:
44.415 degrees
Step-by-step explanation:
find the third side
49 - 25 = 24
square root of 24 =
2√6
law of cosines
missing angle = arccos ((a^2+b^2-c^2)/2ab))
Answer:
Step-by-step explanation:
We know that all angles are equal to 180.
The angle right next to the letter see is a Right Angle that equals 90 degrees.
To find the sum of angle A, we have to do some simple math.
180-90= 90
Then we have two angles left. We have to divide 90 in half.
90/2= 45
then to check your work: 90+45+45= 180
So angle A is 45 degrees.
Choosing a Nonexample
Quick
Check
Which solid is not a pyramid?
ΑΔΑ
A
PLSS HELP ME WITH THIS 25 POINTS! How much does Janet make in 25 hours?
what is erics mean speed if he bikes 57.6 miles in 3.2 hours.
Answer:
18 miles/hr
Step-by-step explanation:
Mean speed is average speed
is m/ hr = 57.6 m /3.2 = 18 miles/hr
Answer:
18
Step-by-step explanation:
10810 5 - 2 + log10 (2x + 10) = log10 (x-4)
Answer:
x=-108117
Step-by-step explanation:
108105-2+1(2x+10)=1(x-4)
108113+2x=x-4
2x-x=-4-108113
x=-108117
PLEASE HELP!!!!!!!!!!!!!
Answer:
d this is the answer that I got sorry if its wrong
The product of two consecutive positive even numbers is 960. What are the numbers?
These questions kinda hard help
Answer:
Step-by-step explanation:
Remark
All of the given listed figures have the property of 4 sides and 4 angles. There is also some relationship between the angles or pairs of angles. Only the square follows the same path. The others cannot be chosen because the sides differ and the angle properties are quite different.
Answer: Square
If a 24-foot ladder makes a 58 degree angle with the ground, how many feet up a wall will it reach? Round your answer to the nearest tenth.
Answer: 20.4 feet
Step-by-step explanation:
(image attached for reference)
To find how high the ladder reaches on the wall, first find the relationship between the angle and the wall. The wall is opposite to the angle, so it's possible to solve this equation using sin(58). Sine equals opposite over hypotenuse so sin(58) = x/24. Multiply 24 on both sides to get an equation that can be plugged into a calculator of 24sin(58) = x.
24sin(58) = 20.35, which gets rounded up to a final answer of 20.4 feet.
A group of students was randomly divided into two subgroups. One subgroup took a test in the morning, and the other took the same test in the afternoon. This table shows the results. Compare the probability that a student will pass the test in the morning with the probability that a student will pass the test in the afternoon. Draw a conclusin based on your results.
The probability of P (pass | afternoon) is 0.37 and the probability of P(pass | afternoon) is 0.71 and the probability of P (pass | afternoon) has greater chance of passing it than the probability of P (pass | afternoon)
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
From the data given:
P(pass | Morning) = 28/75 = 0.37
P(pass | afternoon) = 53/75 = 0.706 ≈ 0.71
Thus, the probability of P(pass | afternoon) has greater chance of passing it than the probability of P(pass | afternoon).
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Choose the answer.
Use the net to determine the total surface area.
The area of the circle is square
inches and the circumference is
inches.
16л, 8л
8л, 16
O 161, 641
o 640, 165
Answer:
16л, 8л
Step-by-step explanation:
r=4
area=4*4л
=16л
circumference= 2л*4
=8л
Angie read 2 books in 5 days, and each book contained 340 pages. If Angie read the same number of pages each day, how many
pages did she read per day?
A. 75
В.340
C.136
D. 680
Can someone please help me with this? Thank you so much! <33
Answer:
Q63. B
Step-by-step explanation:
5 cars = 2 houses
1 house = 10 pools = 2.5 cars
1 car = 10÷2.5 = 4
What is the surface area of this triangular prism?
Answer:
384 cm^2.
Step-by-step explanation:
This equals the area of 2 triangles + 3 rectangles.
= 2 * 1/2 * 6 * 8 + 14 * 6 + 14 * 8 + 14 * 10
= 48 + 84 + 112 + 140
= 384 cm^2.
What is the volume of the prism? Use the formula V equals B h. Enter the answer in the box.
Answer:
[tex]29.4\ cm^3[/tex]
Step-by-step explanation:
b = 4 × 3.5 = 14 cm²
h = 2,1 cm
then
[tex]V=b\times h[/tex]
[tex]=14\times2.1[/tex]
[tex]=29.4\ cm^3[/tex]
Step-by-step explanation:
The length of the rectangle is 4cm and the width is 3.5cm
The area of the rectangle is A = lw
The base area is 4 x 3.5 or 14cm squared
The height is 2.1cm
Substitute 14 for B and 2.1 for h
V = Bh
V = (14)(2.1)
=29.4
Therefore the volume of the prism is 29.4 cubic centimetres