Answer: 2.5, 5.3
Step-by-step explanation:
\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)
What is the range of the given data set?
Answer:
6
Step-by-step explanation:
21 - 15 = 6
What are the 7 types of hazards in the home?
The 7 types of hazards in the home are Psychosocial Risks,Physical
Dangers , Chemical Dangers, Biological risks, Constrained Areas,
Changing Equipment and Biohazards
Psychosocial Risks
Physical dangers include a subgroup called psychosocial hazards. For some workers, these risks might be more severe or restrictive than for others. Poor management or a lack of feedback may be the cause of these risks.
Physical Dangers
Environmental and occupational hazards are two different categories of physical risks. These include unguarded machines, heat, cold, vibration, noise, and temperature extremes. Engineering controls can lessen some physical dangers.
Chemical Dangers
Toxic, flammable, explosive, self-reactive, oxidizing, or corrosive compounds are considered chemical dangers. Chemical risks can have negative health impacts and need special handling techniques and equipment.
Biological risks
Many workplaces have biological risks, which can be harmful to people. They include waste debris, food, fungi, food, hair, skin, and saliva.
Constrained Areas
Flammable gases can accumulate in small places. These gases tend to gravitate toward lower elevations, yet they can rise to the surface if a lid is closed or if they are hanging in the air.
Changing Equipment
For workers, the moving machinery hazard provides a distinct set of mechanical risks. Injuries caused by it include crushing, shearing, tangling, air being ejected, striking, abrading, and trapping.
Biohazards
There are many danger thresholds for biohazards. Agents of biohazard level I pose little risk to people. On the other hand, biohazard class II agents may be extremely contagious and may result in serious sickness if consumed or dispersed through the air.
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Find the quotient.
52.06 divided by 1.9
Answer:
27.4
Step-by-step explanation:
First multiply the numerator and denominator by 10
Then write the problem in long division format
Then divide 52 by 19 and get 2
Then multiply the quotient digit (2) by the divisor 19
Then subtract 38 from 52
Then bring down the next number of the dividend
Then divide 140 by 19 to get 7
Then multiply the quotient digit (7) by the divisor 19
Then subtract 133 from 140
Then add a decimal point to the solution
Then bring down the next number of the dividend
Then divide 76 by 19 to get 4
Then multiply the quotient digit (4) by the divisor 19
Then subtract 76 from 76
The solution for long division for 52.06./1.9 is 27.4
27.4
Answer:
quotient is 27.4
Step-by-step explanation:
your welcome;)
I don’t know what to do
Answer:
Use Pythagoras theorem.
Step-by-step explanation:
(hyp)2=(base)2+(per)2
(12)2=(y)2+(9)2
144=y2+81
144-81=y2
63=y2
√63=y
7.93=y
(1 point) Find all critical values for the function and then list them (separated by commas) in the box below. List of critical numbers: ƒf(x) = x³/¹¹ (x – – 3)5
We find that the critical value x = 0 satisfies the first equation, and x = 3 satisfies both equations. Therefore, the critical values for the function are x = 0 and x = 3.
The critical values for the function ƒ(x) = (x³/¹¹) (x – 3)^5 are found by determining the values of x where the derivative of the function is equal to zero or undefined.
To find the critical values of the function, we need to take the derivative of the function and set it equal to zero. First, we apply the product rule to differentiate the function. Let's denote ƒ'(x) as the derivative of ƒ(x). Applying the product rule, we have:
ƒ'(x) = [(x³/¹¹)' * (x – 3)^5] + [(x³/¹¹) * (x – 3)^5]'
Differentiating each term, we get:
ƒ'(x) = [(3x²/¹¹) * (x – 3)^5] + [(x³/¹¹) * 5(x – 3)^4]
Simplifying further, we obtain:
ƒ'(x) = (3x²(x – 3)^5/¹¹) + (5x³(x – 3)^4/¹¹)
To find the critical values, we set ƒ'(x) equal to zero and solve for x:
0 = (3x²(x – 3)^5/¹¹) + (5x³(x – 3)^4/¹¹)
Setting each term equal to zero, we have two possibilities:
3x²(x – 3)^5 = 0 and 5x³(x – 3)^4 = 0
Solving these equations, we find that the critical value x = 0 satisfies the first equation, and x = 3 satisfies both equations. Therefore, the critical values for the function are x = 0 and x = 3.
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Nate and Devronn are partners in a business. Nate makes $2 in profits for every $5 that Devronn makes. If Devronn makes $20 profit on the first item they sell, how much profit does Nate make?
Nate made a profit of $8 on the first item they sell.
What is multiplication?Multiplication is a type of mathematical operation. The repetition of the same expression types is another aspect of the practice.
For instance, the expression 2 x 3 indicates that 3 has been multiplied by two.
Given:
In a business, Nate and Devronn are partners.
And when Nate's profit is $2, then the profit of Devronn is $5.
Let x be the profit of Nate.
According to the question,
if Devronn makes $20 profit on the first item they sell,
then the profit of Nate is,
5(x/2) = 20
x/2 = 20/5
x/2 = 4
Applying cross multiplication,
we get,
x = 8
Therefore, the required profit is $8.
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ΔABC is dilated by a scale factor of 3 with the origin as the center of dilation to form ΔA′B′C′. The slope of is -1.2. The length of is p units, the length of is q units, and the length of is r units. The slope of is . The length of is units.
Answer:
\(3p,3q,3r\)
Step-by-step explanation:
Dilation is not a rigid transformation, for it is not an isometry, hence a dilation produces similar and not congruent figures.
If we have to dilate a \(\bigtriangleup ABC\) with scale factor of 3, with this centered at its origin,with its sides p, q and r. We'll have \(\bigtriangleup A'B'C'\) having 3p,3q, 3r.
The slope in a Dilation is considered carefully when it is not dilated at its center. Well it is. And we're not dilating line segments, then it'll look like this (check below)
\(D_3(x,y) A'=3A, B'=3B, C'=3C\\\)
So its line segments will be thrice the value of its original triangle as well.
Answer:
1.2 and 3q
Step-by-step explanation:
- Alice Walker, age 37, had worked for an extended-care facility for 12 years and
expected to retire at age 62. Her employment was covered by Social Security. She
became disabled and decided to take disability retirement. Her rate of benefits is
1.8% and her final average salary is $32,790. Find her annual disability benefit and
her monthly disability benefit.
Alice Walker's annual disability benefit is $590.22 and her monthly disability benefit is $49.18.
Calculating annual disability benefit and monthly disability benefitTo find Alice Walker's annual disability benefit, we need to multiply her final average salary by her rate of benefits:Annual disability benefit = Final average salary x Rate of benefits
Annual disability benefit = $32,790 x 0.018
Annual disability benefit = $590.22
To find her monthly disability benefit, we divide her annual benefit by 12:Monthly disability benefit = Annual disability benefit / 12
Monthly disability benefit = $590.22 / 12
Monthly disability benefit = $49.18 (rounded to the nearest cent)
Therefore, Alice Walker's annual disability benefit is $590.22 and her monthly disability benefit is $49.18.
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The perimeter of a rectangle is 80x. The base is 7 times the height. In terms of x, what are the dimensions of the rectangle?
a.
h = 10x, b = 10x
c.
h = 3x, b = 5x
b.
h = 5x, b = 35x
d.
h = 5x, b = 25x
In AABC, m2A = 15° and mZB= 120°.
Select the triangle that is similar to AABC.
OA. ADEF, in which mZD= 15° and
m2F = 40°
OB. AJKL, in which mZJ= 15° and
mZL=45°
OC. APQR, in which mZP= 45° and
m/R = 105°
D. AMNP, in which mZM= 15° and
mZN=135°
The triangle that is similar to the triangle ΔABC is the triangle ΔJKL, the correct option is therefore;
B. ΔJKL, in which m∠J = 15° and m∠L = 45°
What are similar triangles?Triangles are similar if they have the same measure of two of their interior angles, and therefore, have the same shape, but they may have different size.
The specified known angles of the triangle indicates that the known angles are;
m∠A = 15°, m∠B = 120°
Therefore, the third angle of the triangle is; 180 - (15 + 120) = 45
The third angle of the is 45 degrees
Therefore, the triangle that is similar to the specified triangle has an angle interior angle of either; 15°, or 120°, or 45°
The correct option is therefore option B. ΔJKL, in which m∠J = 15 and m∠L = 45°, which indicates that m∠K = 180° - (15° + 45°) = 120°Learn more on similar triangles here: https://brainly.com/question/29782809
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pls help with this question
Answer: first answer choice
Step-by-step explanation:
Please help!
Task is simplify expressions.
This is direct image from teacher.
which is cheaper: eating out or dining in? the mean cost of a flank steak, broccoli, and rice bought at the grocery store is $13.04. a sample of 100 neighborhood restaurants showed a mean price of $12.85 and a standard deviation of $2 for a comparable restaurant meal.
The cheaper is dining in than the eating out .
\(H_{0} :\)μ \(\geq 13.04\)
\(H_{\alpha }:\) μ \(\geq 13.04\)
b) 0.0751
c) We cannot a firm whether eating out or dinning in is cheaper
d) do not reject neither.
Given,
In the question:
(a). Develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean cost of a restaurant meal is less than fixing a comparable meal at home.
(b). Using the sample from the 100 restaurants, what is the p -value?
(c). At α = .05 ,what is your conclusion?
(d). Repeat the preceding hypothesis test using the critical value approach
Now, According to the question:
Mean price (X) = 12.85
Value of μ = 13.04
and, Standard deviation σ = 2
n = 100
We know that the formula :
(b) (x - μ)/σ\(\sqrt{n}\) = \(P_{v}\)
Substitute the values :
(12.85 - 13.04)/ 2\(\sqrt{100}\) = -1.45
We use excel function to get the Pz which is .0751
(c). 0.0751 > .05 , We cannot reject the hypothesis. Thus, we can neither say dinning in is more cheap nor eating out is cheaper.
(d). With = 99 , t .05 = −1.66 Reject H 0 if ? ≤ −1.66 −1.45 > −1.66 , do not reject
Degrees of freedom = n − 1 = 99 and Pz of 0.05 = -1.66
Reject when Pz < of -1.66
-1.45 > 1.66
Therefore, The cheaper is dining in than the eating out .
we cannot reject the hypothesis.
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Each time any customer enters a coffee shop, there
is a probability of that their order will include a
latte.
3
If the order includes a latte, there is a probability of
3 that it will also include a cookie.
4
If the order does not include a latte, there is a
2
probability of that it will include a cookie.
What is the probability that the next customer to
enter the shop will order a cookie?
The probability that the next customer to enter the shop will order a cookie is given as follows:
31/60.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The outcomes in which a cookie is ordered are given as follows:
3/4 of 1/3 -> includes a latte.2/5 of 2/3 -> does not include a latte.Hence the probability is obtained as follows:
3/4 x 1/3 + 2/5 x 2/3 = 1/4 + 4/15 = 15/60 + 16/60 = 31/60.
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Me.Harris builds a fence for his yard. He builds one section that is 9 feet long by 5 feet high. He builds another section that is 4 feet long by 5 feet high. What is the combined area of the fence ?
PLS HELP WILL MARK BRAINLIEST, PLS HURRY
Answer:
A. 2x - 1
Step-by-step explanation:
We want the price of each notebook, so we will get this equation.
(4x^2 + 2x + 1) / (8x^3 - 1) [ The " / " sign means I wrote as a fraction. ]
After that, we will use this method to factor ( 8x^3 - 1 ).
a^3 - b^3 = ( a - b )( a^2 + ab + b^2 )
1 can be wrote as 1^3 as we still get the same answer.
8^3 - 1^3 = ( 2x - 1 )( 4x^2 + 2x + 1)
So, we will get this.
(4x^2 + 2x + 1) / ( 2x - 1 )( 4x^2 + 2x + 1)
Now, we can cross out the ( 4x^2 + 2x + 1 ).
We will be left with 1 / ( 2x - 1 ).
Flip it and we will get ( 2x - 1 )
And that is the answer.
I hope it helps.
What is the value of q² - p² for q = 4 and p = 2?
Answer:
um so here it is. 12
Step-by-step explanation:
4 ×4 - 2×2 = 16-4=12
Answer:
12
Step-by-step explanation:
(4)² - (2)²
16 - 4 = 12
Hope this helps :)
-3 • -1=
this is to difficult-
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
When multiplying and dividing with negative numbers, use this key to help:
( - ) x ( + ) = ( - )
( + ) x ( + ) = ( + )
( - ) x ( - ) = ( + )
For example, with your problem, Both numbers are negative, meaning that the end result will be positive. -3 x -1 = 3
Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary.
Solve log(4x
+
10) = 3.
Answer: x = 2.5214
Step-by-step explanation:
log(4x+10) = 3
e^(log(4x+10)) = e^3
E^ log cancels out and equals one so
4x + 10 = e^3
4x = e^3 -10
x = (e^3 - 10)/4
x = 2.5214
James was ready to buy a pair of pants he saw in the J Crew catalog that was priced at $25.00 until he noticed two other pairs of pants priced at $65.00 and $95.00. Suddenly the $25.00 pair of pants seemed too cheap. This is an example of
Answer:
When James saw a pair of pants in the J Crew catalog for $25, he was ready to buy them. However, as he looked through the catalog more, he saw two other pairs of pants priced at $65 and $95. This made the $25 pair seem too cheap in comparison. James may now reconsider his choice and opt for a higher priced pair to ensure a better quality product. The presence of higher priced products can influence consumer spending and purchasing decisions.
-3x + 3y = 4
-x + y = 3
Use the substitution method to find the solution.
SHOW WORK PLEASE I CANNOT STRESS THAT ENOUGH
Y’all I really really need help or my mom said I cant eat pls help solve y they stay pressed
Answer:
curies george
Step-by-step explanation:
A rectangular field is 62 meters long and 48 meters wide. Diane estimates the length of the field to be 60 meters and
the width to be 45 meters. What is the percent error of Diane's estimated area measurement? Round your answer to
the nearest whole percent.
PLEASEEEEE SOMONE ANSWER THIS LIKE NOW
The percent error of Diane's estimated area measurement is 9%.
To find the percent error, we first calculate the actual area of the rectangular field:
Actual area = length × width = 62 × 48 = 2,976 square metersNext, we calculate the estimated area based on Diane's measurements:
Estimated area = estimated length × estimated width = 60 × 45 = 2,700 square metersThe absolute error is the difference between the actual and estimated areas:
Absolute error = |Actual area - Estimated area| = |2,976 - 2,700| = 276 square metersThe percent error is the absolute error divided by the actual area, multiplied by 100%:
Percent error = (Absolute error / Actual area) × 100% = (276 / 2,976) × 100% = 0.092 × 100% = 9%
Therefore, the percent error of Diane's estimated area measurement is 9% to the nearest whole percent.
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simplify √16n/m^3 1. 4√mn/n^2 2.4√mn/m 3.√mn/4m 4. 4√mn/m^2
Answer: \(4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}\) .
Step-by-step explanation:
The given expression: \(\sqrt{\dfrac{16n}{m^3}}\)
'
since \(16=4^2\)
\(m^3=m^{2+1}= m^2\times m\) [\(a^{n+m}=a^n\times a^m\)]
Now, the given expression becomes,
\(\sqrt{\dfrac{4^2n}{m^2\timesn}}=\dfrac{4\sqrt{n}}{m\sqrt{m}}\)
Since there is root in denominator , so we need to rationalize
\(\dfrac{4\sqrt{n}}{m\sqrt{m}}\times\dfrac{\sqrt{m}}{\sqrt{m}}=\dfrac{4\sqrt{mn}}{m\times\sqrt{m}\times\sqrt{m} }\\\\=\dfrac{4\sqrt{mn}}{m\times m}\\\\=\dfrac{4\sqrt{mn}}{m^2}\)
Hence, the correct option is \(4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}\) .
Which of the following is the solution set of the
problem?
O (-∞, -3)
(-∞, -3]
O
[-3,00)
O (-3,00)
DONE
The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;
(-∞, -3]How can the solution set of an inequality be found?A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;
2•x + 3 ≤ -3Solving the above inequality, we have;
2•x + 3 ≤ -3
2•x ≤ -3 - 3 = -6
2•x ≤ -6
Therefore;
x ≤ -6 ÷ 2 = -3
x ≤ -3
Which gives;
-∞ < x ≤ -3-∞ < x ≤ -3 in interval notation is (-∞, -3]
The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;
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Write an explicit formula for an, the nth term of the term of the sequence 4, -2, 1, ....
Answer:
24
Step-by-step explanation:
369121518212427303336
Simplify using properties of exponents and radicals. ^3√32a¹⁰b^6
The simplified expression is 4a⁵ * b³.
Describe exponents?Exponents are a way to represent repeated multiplication. The exponent of a number represents the number of times the base is multiplied by itself. For example, 2^3 means 2 multiplied by itself 3 times, or 2 * 2 * 2 = 8.
In general, if the base number is b and the exponent is n, then b^n represents b multiplied by itself n times. This can be written as b * b * ... * b (n times). The exponent can be any positive integer or zero, and the base can be any real number.
Exponents have several properties, including the following:
b^0 = 1 for any non-zero base b.
b^1 = b for any base b.
b^n * b^m = b^(n + m) for any base b and positive integers n and m.
(b^n)^m = b^(n * m) for any base b and positive integers n and m.
b^(-n) = 1 / b^n for any base b and positive integer n.
These properties help simplify and manipulate expressions with exponents.
We can simplify the expression using the properties of exponents and radicals as follows:
^3√32a¹⁰b⁶
= ^3√(2⁵ * 2¹ * a¹⁰ * b⁶) [since 32 = 2⁵ and 2¹]
= ^3√(2⁶ * a¹⁰ * b⁶) [using the property of exponents: a^m * a^n = a^(m+n)]
= 2^2 * ^3√(a¹⁰ *b⁶) [since 2⁶ = 2² * 2⁴]
= 2² * a⁵ * b³ [since (^3√(x))³ = x, and since a^m * b^m = (ab)^m]
= 4a⁵ * b³.
So, the simplified expression is 4a⁵ * b³.
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y = 3(4-2) + 5.5
rhhehrhrhrhrhrhrhrhrh
thrhththhththththtth
i have to somehow make this 20 characters long so
f
f
f
f
f
ff
f
f
f
f
f
Step-by-step explanation:
\(y = 3(4 - 2) + 5.5 \\ y = 3(2) + 5.5 \\ y = 11.5\)
FIRST PERSON TO ANSWER GET BRAINLIEST! REALLY EASY!
Answer:
18
Step-by-step explanation:
You take 30% of 60 to find the number of brown beads.
Dina cuts some cloth to make four triangular flags. Flag 1 has sides of 6 in. , 10 in. , and 10 in. Flag 2 has sides of 6 in. , 7 in. , and 8 in. The sides of Flag 3 measure 7 in. , 8 in., and 14 in. , while Flag 4 has sides that are 8 in. , 15 in. , and 17 in. Which flag is a right triangle.
Group of answer choices
Flag 1
Flag 2
Flag 3
Flag 4
From the question, Flag 4 is a right triangle because the square of one side is equal to the sum of the square of the other two sides
What is a Right Angle Triangle?A Right triangle is one in which one of the interior angles is 90°. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the square of the hypotenuse side is equal to the square of the addition of the other two sides
From Flag 4
\(8^{2}\) = 64
\(15^{2}\) = 225
\(17^{2}\) = 289
Hence,
\(17^{2}\) = \(15^{2}\) + \(8^{2}\)
289 = 225 + 64
289 = 289
Therefore, from the question, its only Flag 4 that is a right triangle
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