Answer:
x = -36
Step-by-step explanation:
Add 12 to both sides
x - 12 + 12 = x
(12 cancels out)
-48 + 12 = -36
x = -36
how do you distribute this
(x+10)(x+9)
Answer:
\(x^{2} + 19x + 90\)
Step-by-step explanation:
I’ve attached my work!
Hope it helps :)
If you have any questions or anymore help lmk, happy to help with any school work!!
Have a nice day, you’ll got this :D
The quadrilateral below is a rhombus. Find the missing measures. Any decimal answers should be rounded to the nearest tenth.
NK =
m
NL =
m
ML =
m
JM =
m
m
A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.
We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.
To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,
ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):
ML² = 20² + 20² - 2(20)(20)cos(50°)
ML² = 400 + 400 - 800cos(50°)
ML² ≈ 617.4
Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.
So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.
The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.
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What is the average rate of change of f(X) from x=-3 to x = 6?
f(x) = x4
4 + 4x - 15
Enter your answer in the blank.
PLEASE HELPPP
i’ll mark brainliest
Answer:
4, 12
3w=w+8
2w=8
w=4
w+8=4+8=12 (12=3w)
students are conducting an experiment to determine if the amount of sunlight affects the size of clover leaves. they plant clover in two identical pots, placing one next to a window and one inside a cupboard. they water each pot daily with 10 ml of water. which is the independent variable?
In the experiment, the independent variable is the amount of sunlight received by the clover plants.
The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.
The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.
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five more than a half number is 6. find the number.
Problem 3 One of the particles in an atom is called an electron. It has a charge of -1. Another particle in an atom is a proton. It has charge of +1. The charge of an atom is the sum of the charges of the electrons and the protons. A carbon atom has an overall charge of 0, because it has 6 electrons and 6 protons and -6+6=0. Find the overall charge for the rest of the elements on the list.
charge from
electrons charge from
protons overall
charge
carbon -6 +6 0
neon -10 +10
oxide -10 +8
copper -27 +29
tin -50 +50
carbon= 0 (neutral)
neon= 0 (neutral)
oxide= -2 (electron)
copper= 2 (proton)
tin=0 (neutral)
i hope i got these right...
Answer:
neon = 0
oxide = -2
copper = 2
tin = 0
Step-by-step explanation:
A playground area is going to be built in a zoo park. The shape of the playground is shown below. This area will be covered with recycled rubber chips. Each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot. How much will it cost to install the rubber chips?
Answer:
$2075.75
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the information;
rubber chips costs $52.50 per square foot
We need to find the area of the playground,
1. We find the area of the rectangle:The length: 8ft
The width: 4 ft
=> the area of it is: 8*4 = 32 square foot.
2. We find the area of the 1st identical trianglesThe base: 3 ft
The height: 2 ft
=> the area of it is = 1/2*3*2 = 3 square foot.
3. We find the area of the 2nd identical trianglesThe base: 3 ft
The height: 3 ft
=> the area of it is = 1/2*3*3 = 9/2 square foot.
=> the total area of the playground is: 32 + 3 + 9/2 = 39.5 square foot.
So the total cost to install the rubber chips is:
= 39.5 * $52.5
= $2075.75
Hope it will find you well.
The $2625 is the cost to install the rubber chips if each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
First, we find the area of the rectangle = (8+3)×4 = 44 square feet
Area of the two triangle = 2(1/2)[2×3] = 6 square feet
Area of the complete figure = 44+6 = 50 square feet
Each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.
Total cost = 50×52.50 = $2625
Thus, the $2625 is the cost to install the rubber chips if each unit represents 1 ft. Installing the rubber chips costs $52.50 per square foot.
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The answer is [A] 76 , but can someone please SHOW work on why it’s that answer .
Answer:
Step-by-step explanation:
When a tangent line is drawn from Q to Z and then from Q to R, what happens that is the length of QZ and QR are the same. So if QZ = 10, the QR = 10. The same occurs at every point outside the circle where a tangent line is drawn from that point to the circle. We are told that YX is 9. That means that YZ is also 9. If XW is 9, then WV is also 9. Here's where the tricky part is. We are given the whole side length of UW as 17, but we need to know each individual part so we can eventually find the length of RS. So we'll keep going the way we were. If XW = 9, the WV = 9. That means that UV is 17 - 9 or 8. So UV = 8. That means that TU is also 8. THAT means that ST is 10 - 8 or 2. And if ST is 2, then RS is also 2. Let's add it all together now:
QZ + ZY + YX + XW + WV + VU + UT + TS + SR + RQ
10 + 9 + 9 + 9 + 9 + 8 + 8 + 2 + 2 + 10 = 76
According to the law of demand, if price goes down, demand goes up. True /False
The law of demand states that when the price of a good or service decreases, the quantity demanded increases, and vice versa.
The law of demand is an economic theory stating that the higher the price of a good, the lower the quantity demanded, and vice versa. When price decreases, the quantity demanded increases, and when price increases, the quantity demanded decreases. So, it's correct to say that according to the law of demand, if price goes down, demand goes up. Hence, the answer is True.
Let us understand this with an example:
If the price of a toy car is $10, there are ten buyers who want to purchase it. When the price of the same toy car is reduced to $8, the number of buyers who want to purchase it increases to fifteen. Because the price of the toy car is now cheaper than it was before, people are more willing to buy it;
hence the law of demand is validated.The law of demand is a fundamental principle in microeconomics that is crucial in making decisions regarding price and production. If demand is high, the price of the good or service may increase; and if demand is low, the price of the good or service may decrease. The law of demand is a fundamental concept that is essential for businesses, entrepreneurs, and investors. In summary, the law of demand states that when the price of a good or service decreases, the quantity demanded increases, and vice versa.
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30.94÷0.7=?? with explanation
The value of the quotient when 30.94 is divided by 0.7 will be 44.2
Division of numbersDividing two numbers involves obtaining the number of times the denominator value can be obtained from the numerator.
Here, the numerator is 30.94 and the denominator is 0.7
To make things easier, we can convert the values to whole numbers by multiplying the values by 100
30.94 × 100 = 3094
0.7 × 100 = 70
Hence, Using a calculator ;
3094 / 70 = 44.2
The quotient value would be 44.2
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What is x? 26.7% of x=12
Answer:
x=84
Step-by-step explanation:
You are offered the chance to obtain more space. the offer is for 15 units and the total price is 1500. what should you do?
A. You should calculate the cost per unit to determine if the price of 1500 for 15 units is a good deal.
B. To determine whether the offer is a good deal, you need to calculate the cost per unit.
Divide the total price of 1500 by the number of units offered, which is 15.
Cost per unit = Total price / Number of units
Cost per unit = 1500 / 15
Cost per unit = 100
The cost per unit is 100.
Now, consider the value you assign to each unit of space. If you believe that each unit is worth more than 100, then the offer is a good deal and you should accept it.
However, if you believe that each unit is worth less than 100, then the offer is not favorable and you should decline it.
Ultimately, the decision depends on your evaluation of the worth of each unit of space and whether you believe the cost per unit is reasonable based on your needs and budget.
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Let f be a function that has derivatives of all orders for allreal numbers.
Assume f(1) = 3, f '(1) = -2. f ''(1) = 2, and f '''(1) =4.
a) Write the second-degree Taylor polynomial for f about x = 1and use it to approximate f(0.7).
b) Write the third-degree Taylor polynomial for f about x = 1and use it to approximate f(1.2).
c) Write the second-degree Taylor polynomial for f ', thederivative of f , about x = 1 and use it to approximate f'(1.2).
a) The second-degree Taylor polynomial for f about x=1 is 1.69
b) The third-degree Taylor polynomial for f about x=1 is 0.867
c) The second-degree Taylor polynomial for f' about x=1 is -0.4
a) The second-degree Taylor polynomial for f about x = 1 is:
f(x) ≈ f(1) + f'(1)(x-1) + (f''(1)/2)(x-1)^2
Plugging in the given values, we get:
f(x) ≈ 3 - 2(x-1) + (2/2)(x-1)^2
f(x) ≈ 1 - 2(x-1) + (x-1)^2
To approximate f(0.7), we substitute x = 0.7 in the polynomial:
f(0.7) ≈ 1 - 2(0.7-1) + (0.7-1)^2
f(0.7) ≈ 1 + 2(0.3) + 0.09
f(0.7) ≈ 1.69
Therefore, f(0.7) ≈ 1.69 using the second-degree Taylor polynomial.
b) The third-degree Taylor polynomial for f about x = 1 is:
f(x) ≈ f(1) + f'(1)(x-1) + (f''(1)/2)(x-1)^2 + (f'''(1)/6)(x-1)^3
Plugging in the given values, we get:
f(x) ≈ 3 - 2(x-1) + (2/2)(x-1)^2 + (4/6)(x-1)^3
f(x) ≈ 1 - 2(x-1) + (2/3)(x-1)^3
To approximate f(1.2), we substitute x = 1.2 in the polynomial:
f(1.2) ≈ 1 - 2(0.2) + (2/3)(0.2)^3
f(1.2) ≈ 0.867
Therefore, f(1.2) ≈ 0.867 using the third-degree Taylor polynomial.
c) The second-degree Taylor polynomial for f', the derivative of f, about x = 1 is:
f'(x) ≈ f'(1) + f''(1)(x-1)
Plugging in the given values, we get:
f'(x) ≈ -2 + 2(x-1)
f'(x) ≈ -2 + 2x - 2
f'(x) ≈ 2x - 4
To approximate f'(1.2), we substitute x = 1.2 in the polynomial:
f'(1.2) ≈ 2(1.2) - 4
f'(1.2) ≈ -0.4
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In the formula CL% confidence interval = x ZcL*
what is Z95% ?
In the formula for confidence interval; CI = X ± Z(s/√n)
what is Z95% ?
Answer:
>> Z95% means critical z value for 95% Confidence level.
>> Z95% = 1.96
Step-by-step explanation:
The formula for confidence interval is given as;
CI = x¯ ± Z(s/√n)
Where:
x¯ is the mean
Z is the critical value for a particular %CL
s is standard deviation
n is sample size
Thus, Z95% means critical z value for 95% Confidence level.
From tables, the z-value for a confidence level of 95% is 1.96
Answer:
The answer is 2 NOT 3. Ignore the answer listed above as 3. It is incorrect.
Step-by-step explanation:
Find the missing angle.
66°
56°
76°
156°
At the soccer camp the ratio to boys to girls is 7:5. There are 30 girls how many boys are there?
Answer:
b
Step-by-step explanation:
A polynomial p has zeros when x = 5, x = -1, and x = -1/4
What could be the equation of p?
A. p(x) = (x +5)(x + 1)(4x + 1)
B. p(x) = (x - 5)( x + 1)(4x + 1)
C. p(x) = (x + 5)(x - 1)(4x - 1)
D. p(x) = (5x)(-1x)( - 1/4x)
Answer:
\(x=5\) ⇒ \((x-5)=0\)
\(x=-1\) ⇒\((x+1)=0\)
\(x=-1/4\) ⇒ \((x+1/4)=0\) ⇒ \((4x+1)=0\)
\(p(x)=(x-5)(x+1)(4x+1)=0\)
\(Option(B)\)
-------------------------
Hope it helps...
Have a great day!!
Answer:
p(x) = (x-5) (x+1)(4x+1)
Step-by-step explanation:
We know the equation for a polynomial with zeros is written as
f(x) = a( x-b1) (x-b2)...... where b are the zeros
We have zeros x = 5, x = -1, and x = -1/4
p(x) = a( x-5) (x- -1) (x - -1/4)
p(x) = a (x-5) (x+1) (x+1/4)
Let a = 4
p(x) = 4 (x-5) (x+1) (x+1/4)
p(x) = (x-5) (x+1)(4x+1)
Let c = 20. Evaluate the expression.
2c + 6
Answer:
46
Step-by-step explanation:
Since we know the value of the variable c, we can substitute 20 for c
2c + 6
2(20) + 6
40 + 6
46
Convert the angle 0=17pie/18 radians to degrees.
Express your answer exactly.
a sample of 1700 1700 computer chips revealed that 73% 73 % of the chips do not fail in the first 1000 1000 hours of their use. the company's promotional literature claimed that more than 70% 70 % do not fail in the first 1000 1000 hours of their use. is there sufficient evidence at the 0.05 0.05 level to support the company's claim? state the null and alternative hypotheses for the above scenario.
We can conclude that there is sufficient evidence at the 0.05 level to support the company's claim that more than 70% of computer chips do not fail in the first 1000 hours of their use.
In the given scenario, we have to determine if there is enough evidence to support the company's claim.
For this, we have to construct the null and alternative hypotheses.
The null hypothesis (H0) is that the proportion of computer chips that do not fail in the first 1000 hours of their use is equal to or less than 70%.
The alternative hypothesis (H1) is that the proportion of computer chips that do not fail in the first 1000 hours of their use is more than 70%.
H0: P ≤ 0.70H1:
P > 0.70
Where P is the true population proportion of computer chips that do not fail in the first 1000 hours of their use.
To check whether the given claim is true, we will perform a hypothesis test at the 0.05 significance level.
We know that sample proportion (p) = 0.73
Sample size (n) = 1700
Level of significance (α) = 0.05
Using the formula z = (p - P) / √(P(1-P)/n)z
= (0.73 - 0.70) / √(0.70(1-0.70)/1700)z
= 4.20
Since this is a one-tailed test and our alternative hypothesis is one-tailed, the critical z-value is 1.645 (for α = 0.05).
Since our test statistic value (4.20) is greater than the critical value (1.645), we reject the null hypothesis.
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Simplify the expression 4(2x−8y) + 3y
Answer:
8x-29y Sorry if wrong!
Step-by-step explanation:
You have to distribute first and then combine like terms.
Answer:
8x-29y
Step-by-step explanation:
You have to distribute first and then combine like terms.
And that is where you get your answer.
Hope this helps.
I will give BRAINLIEST to the correct answer
Find the measure of angle 3
Answer:
2X+100 =8X+208
8X-2X=100-208
6X=-108
X=-18
8X+208=(8×-18)+208
=-144+208
=64
ANGLE 3=180-64
=116
Answer: The measurement of angle #3 on the photo you provided it would be a 300 Degree angle if that is what you're asking
Step-by-step explanation: If you're asking what measure of an angle #3 is the correct measurement is 300 Degrees
Please answer this with full explanation.
Answer:
heeeeeeereeeeeeee
Step-by-step explanation:
Determine the type of variable for:The number of counties in California.
Qualitative nominal
Quantitative Continuous
Qualitative ordinal
Quantitative discrete
Determine the type of variable for: The stages of childhood: Infant, Toddler, Preschooler, School age, Preteen, Teen
Qualitative nominal
Quantitative Continuous
Qualitative ordinal
Quantitative discrete
Suppose the average time for a class of 28 students (taken from a campus of 1200 students) to drive to campus was 23 minutes.
Select the choice
In the scenario above, 23 minutes is a parameter/ statistic , because 28 students is a sample/ population.
At a Track field, a coach keeps track of an athletes mile time. The coach reported that the mean mile time of a particular athlete was 7 minutes and the standard deviation of the mile time was 1 minute. Assume that the coach also gave us the information that the distribution of the mile time was bell shaped. Use the empirical rule to find:
What percent of the athlete's mile times are expected to be between 6 minutes and 8 minutes?
What percent of the athlete's mile times are expected to be between 4 minutes and 7 minutes?
What percent of the athlete's mile times are expected to be less than 9 minutes?
The type of variable for,
a. The number of counties in California: Quantitative discrete.
b. The stages of childhood: Qualitative ordinal.
c. In the scenario above, 23 minutes is a statistic, because 28 students is a sample.
d. Between 6 minutes and 8 minutes: Approximately 68% of the athlete's mile times are expected to be between 6 and 8 minutes, according to the empirical rule.
e. Between 4 minutes and 7 minutes: Approximately 68% of the athlete's mile times are expected to be between 4 and 10 minutes, according to the empirical rule.
f. Less than 9 minutes: Approximately 84% of the athlete's mile times are expected to be less than 9 minutes, according to the empirical rule.
In statistics, variables can be categorized into two types: qualitative and quantitative.
Qualitative variables describe characteristics or qualities that cannot be measured numerically, such as gender or hair color.
Quantitative variables, on the other hand, represent numerical values that can be measured or counted.
There are two types of quantitative variables: continuous and discrete. Continuous variables can take any numerical value within a range, such as age or weight.
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find 9 f(x) dx 0 if f(x) = 5 for x < 5 x for x ≥ 5 .
9 f(x) dx of f(x) = 5 for x < 5 x for x ≥ 5 is 53 when x is between 0 and 9.
What is integration ?
Integration is a fundamental concept in calculus, which is used to find the area under a curve and the total change of a function. It is the reverse process of differentiation and can be used to find the original function, given its derivative.
For f(x) = 5 for x < 5, we have
∫(5dx) from 0 to 5 = 5*(5-0) = 25
For f(x) = x for x ≥ 5, we have
∫(x dx) from 5 to 9 = (1/2)x^2 from 5 to 9 = (1/2)(9^2 - 5^2) = (1/2)(81 - 25) = (1/2)(56) = 28
So the definite integral of the piecewise function is
∫(9 f(x) dx) from 0 to 9 = ∫(5dx) from 0 to 5 + ∫(x dx) from 5 to 9 = 25 + 28 = 53,
Therefore , 9 f(x) dx of f(x) = 5 for x < 5 x for x ≥ 5 is 53 when x is between 0 and 9.
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Select the ones that are right triangles
Answer:
All triangles
Step-by-step explanation:
They all show right angles.
A piece of aluminum with a mass of 100.0 g has a temperature of 20.0°C. It absorbs 1100 J of heat energy. What is the final temperature of the metal?
Answer:
31.81°CStep-by-step explanation:
Using the formula for calculating heat energy H = mcΔT
m = mass of the aluminum (in g/kg)
c = specific heat capacity of aluminum
ΔT = change in temperature = T - Ti (in °C)
T is the final temperature
Ti is the initial temperature
Given m = 100.0g, c = 0.931096J/g °C, Ti = 20°C, H = 1100J T = ?
Substituting the given values into the formula;
1100 = 100*0.931096 (T - 20)
1100 = 93.1096T - 1862.192
93.1096 T = 1100+1862.192
93.1096 T = 2962.192
T = 2962.192/93.1096
T = 31.81°C
The final temperature of the metal is 31.81°C
Answer:
31.81c
Step-by-step explanation:
1100 = 100*0.931096 (T - 20)
1100 = 93.1096T - 1862.192
93.1096 T = 1100+1862.192
93.1096 T = 2962.192
T = 2962.192/93.1096
T = 31.81°C
Light travels
9.45
⋅
1
0
15
9.45⋅10
15
9, point, 45, dot, 10, start superscript, 15, end superscript meters in a year. There are about
3.15
⋅
1
0
7
3.15⋅10
7
3, point, 15, dot, 10, start superscript, 7, end superscript seconds in a year.
How far does light travel per second?
Write your answer in scientific notation.
The distance travelled per second (i.e speed) of the light is 3×10⁸ m/s
How do I determine the distance traveled per second of the light?Distance travelled per second is known as speed. It can be expressed as:
Speed = distance / time
With the above formula, we can obtain the distance traveled per second of the light, Details below
From the question given, the following were obtained:
Distance = 9.45×10¹⁵ metersTime = 3.15×10⁷ secondsDistance per second =?Speed = distance / time
Distance per second = 9.45×10¹⁵ / 3.15×10⁷
Distance per second = 3×10⁸ m/s
From the calculation made above, we can conclude that the distance per second is 3×10⁸ m/s
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yolanda spends 8 2⁄3 hours per month playing soccer. approximately how many hours does she play soccer in a year? (there are twelve months in a year.)
The total time she spends playing soccer in a year is 104 hours, which is calculated using the concept of fraction and arithmetic operations.
What is a fraction?
Any numerical number which does not represent the entire quantity is called a fraction. It depicts a part or portion of something. It is generally written in the form of numerator by denominator.
Calculation of the total time Yolanda spends playing soccer
Given that Yolanda plays soccer for 8 ⅔ hours in a month
Firstly, convert the hours in mixed fraction to improper fraction i.e. 8 ⅔ = (8 × 3 + 2) / 3
= 26 / 3
Now, we need to calculate the no. of hours she played in a year, which is done by multiplying the obtained improper fraction with 12
i.e. (26 / 3) × 12
= 104 hours
Hence, Yolanda spends 104 hours a year playing soccer.
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