Answers
Step-by-step explanation:
the derivative of the sum of terms in x is the same as the sum of the derivatives of the individual terms.
d/dx × (-4sin(x) + 9x) = d/dx × (-4sin(x)) + d/dx × (9x)
and also : the derivative of a term in x multiplied by a constant c is c × derivative of the term in x.
d/dx × (-4sin(x)) + d/dx × (9x) =
-4 × (d/dx × sin(x)) + 9 × (d/dx × x)
so, what is the derivative of sin(x) ? cos(x)
what is the derivative of x ? 1
so, we have as result :
-4cos(x) + 9
Related Questions
Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. This system of equations represents the situation, where x is the cost per pound of apples, and y is the cost per pound of bananas.
5x + 3y = 8.5
3x + 2y = 5.25
If you multiply the first equation by 2, what number should you multiply the second equation by in order to eliminate the y terms when making a linear combination?
Complete the multiplication and add the equations. What is the result?
What is the price per pound of apples? $
What is the price per pound of bananas? $
Answers
Answer:
b, a, c, b
Step-by-step explanation:
help again
álgebra 1
Answers
Answer:
A (4,6)
ok im going to go through this step by step
4(4)=3(6)-2
16=18-2
16=16 (true solution)
18=3(4)+(6)
18=12+6
18=18 (true solution)
After his first month he had more than he expected to have due to interest the bank provided. This let
Rob come up with a better expression,
+45w +155, where w is the number of weeks. How much
25
will he have in 1 vear?
Answers
Answer:
Step-by-step explanation:
The amount of money Robert has after 1 year is; $2495.
How to solve Algebra Word Problems?We are told that Robert came up with the following expression 45w + 155.
where w is the number of weeks that he has been saving.
The equation above represents the amount he will have in his bank account.
Now, 1 year has 52 weeks. Thus, the amount he would have saved in 52 weeks is;
45(52) + 155 = $2495
Thus, we conclude that the amount of money Robert has after 1 year is $2495.
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13.If one-seventh of a number minus 5 is 4, then the number isRequired to answer.
Answers
Answer:
Step-by-step explanation:
63
1/7x-5=4
1/7x=9
X=63
The toy factory at the North Pole uses 350 feet of wood to make 200 toys. At this rate,
how many feet of wood re needed to make 1 toy?
Answers
Answer:
1.75 feet of wood
Step-by-step explanation:
350/200 = 1.75
x/1 = 1.75
Multiply both sides by 1 to isolate x.
x = 1.75
Write the first four terms of the sequence defined by each of the following recursive formulas.
Answers
a1 = 2 and an = an − 1 + 0.5
A man is carrying a pole of length 5m the pole is measured to the nearest centimetre
Answers
The pole measures 500 centimeters.
We are required to perform unit conversion to find the answer. Conversion of unit requires the relating link between two units. While relating the two units, usually greater unit holds singular or unit value, which is 1. The smaller unit holds value greater than 1, but at equivalent level with first unit. So, as per the known fact, 1 meter is equal to 100 centimeters. Using this formula to find measurement of 5 meters in centimeters.
1 meter = 100 centimeters
5 meters = 100 × 5
Performing multiplication to find the measurement of pole in centimeters
5 meters = 500 centimeters
Therefore, the measurement of pole is 500 centimeters.
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a student records the repair cost for 1717 randomly selected washers. a sample mean of $82.95$82.95 and standard deviation of $14.89$14.89 are subsequently computed. determine the 80�% confidence interval for the mean repair cost for the washers. assume the population is approximately normal. step 1 of 2 : find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.
Answers
The mean repair cost for the stereos is (63.04, 102.86) with an 80% confidence interval.
What is the critical factor?The critical factor for a 90% confidence interval for the true mean repair cost for stereos is given by;
Critical factor = (x-μ)/(s/√n)
where, x = sample mean repair cost
s = standard deviation of a sample
n = sample of stereos
μ = critical value
We have been given that a student records the repair cost for 17 randomly selected washers. a sample mean of $82.95 and a standard deviation of $14.89 are subsequently computed.
Since we don't know the population standard deviation, we used t statistics to create the 80% confidence interval in this case.
So, the 80% confidence interval for the true mean repair cost, μ is ;
⇒ P(-1.337< t₅ < 1.337) = 0.80
{As the critical value of t at 5 degrees of freedom are -1.337& 1.337 with P = 5%}
⇒ P(-1.337< (x-μ)/(s/√n) < 1.337) = 0.80
⇒ P(-1.337×(s/√n) < (x-μ) < 1.337×(s/√n)) = 0.80
⇒ P(x - 1.337×(s/√n) < μ < x + 1.337×(s/√n)) = 0.80
80% confidence interval for
⇒ μ = (x - 1.337×(s/√n) , x + 1.337×(s/√n))
Here, x = $82.95 , s = $14.89 , and n = 17
⇒ μ = (82.95 - 1.337×(14.89 /√17) , 82.95 + 1.337×(14.89 /√17))
⇒ μ = (63.04, 102.86)
Hence, the mean repair cost for the stereos is (63.04, 102.86) with a 80% confidence interval.
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Need help with geometry problems
Answers
1. d. QS ≅ ST.
2. a. ∠A and ∠D are right angles.
3. D is the midpoint of segment AC (statement 2)
Definition of midpoint (reason 3)
SSS postulate (reason 5)
4. b. AC ≅ DC.
5. c. ∠ABC ≅ DBC.
What is the Definition of a Midpoint?The midpoint of a segment is where the segment is divided into two equal parts.
Thus, in question one, the statement that matches the reason in step 2 is: d. QS ≅ ST.
What is the Definition of Perpendicular Lines?Two lines that are perpendicular to each other will form right angle where they intersect each other.
Therefore, in question 2, the statement for step 2 reason is: a. ∠A and ∠D are right angles.
For question 3, the statement for the reason in step 2 is D is the midpoint of segment AC; the reason in step 3 why AD ≅ CD is: definition of midpoint, while both triangles are congruent to each other based on SSS postulate.
In question 4, since BC bisects segment AD, therefore, the statement for reason 2 is: b. AC ≅ DC.
In question 5, since BC bisects angle ABD, therefore, the statement for reason 2 is: c. ∠ABC ≅ DBC.
In summary, applying the definition of midpoint among other definitions, the missing statements or reasons in the two-column proofs are:
1. d. QS ≅ ST.
2. a. ∠A and ∠D are right angles.
3. D is the midpoint of segment AC (statement 2)
Definition of midpoint (reason 3)
SSS postulate (reason 5)
4. b. AC ≅ DC.
5. c. ∠ABC ≅ DBC.
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What is the oblique asymptote of g(x)= x^2-3x-5/x+2?
Answers
Answer:
excuse me these words are some other language
Answer:
It's y= x-5
Step-by-step explanation:
Consider the triangle.
Which statement is true about the lengths of the sides?
O Each side has a different length.
O Two sides have the same length, which is less than
the length of the third side.
O The three sides have the same length.
O The sum of the lengths of two sides is equal to the
45
length of the third side.
Answers
Answer:The three sides have the same length.
Step-by-step explanation:
If this isn’t it, I’m sorry.
Answer:
The 3rd option, "The three sides have the same length."
Step-by-step explanation:
Just took the test.
A student claims that more than 55% of the mothers with school-age children worked outside the home. The student finds that a sample of 150 mothers from Bronx New York revealed that 96 were working outside the home. At a significance level of = 0.05, is the student correct?
Answers
Answer:
There is sufficient evidence that the students claim is correct.
Step-by-step explanation:
From the information given:
The population proportion P = 55% = 0.55
The sample size n = 150
The sample mean x = 96
The sampling proportion from the sample mean [tex]\hat p = \dfrac{x}{n}[/tex]
[tex]\hat p = \dfrac{96}{150}[/tex]
[tex]\hat p =0.64\\[/tex]
The null and alternative hypothesis is:
[tex]H_o : p = 0.55 \\ \\ H_1 : p > 0.55[/tex]
The test statistics can be computed as follows:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
[tex]Z = \dfrac{0.64 - 0.55}{\sqrt{\dfrac{0.55(1-0.55)}{150}}}[/tex]
[tex]Z = \dfrac{0.09}{\sqrt{\dfrac{0.2475}{150}}}[/tex]
[tex]Z = \dfrac{0.09}{\sqrt{0.00165}}[/tex]
Z = 2.22
The P - value = P ( Z > 2.22)
= 1 - P( Z < 2.22)
= 1 - 0.98679
= 0.01321
Since P-value is less than the level of significance ∝ = 0.05
We reject the null hypothesis [tex]H_o[/tex]
Conclusion: There is sufficient evidence that the students claim is correct.
Multiply then write fraction in simplest form
Answers
Answer: 1 7/30
Step-by-step explanation:
Help will give brainiest and 20 points, Here is the data above. If you don’t answer properly I will report
How many more students enrolled in drivers education in 2005 than in 1995? Pls give a full sentence and explain how you did it.
Answers
Answer:
In total 177 more students enrolled this year.
Step-by-step explanation:
First get the sum of the students who enrolled in 1995, then the sum of 2005 and then subtract the sums.
Answer:
177 more students
Step-by-step explanation:
1995 had 65 students enrolled
females - 23 males - 42
23 + 42 = 65
2005 had 242 students enrolled
113 + 129 = 242
now to get how many more, you'll want to subtract
242 - 65 = 177
we know this is correct by adding 65 to 177
177 + 65 = 242
either way our answers will be the same
Hope this helps you!
~tnyu
Question Progress
Homework Progress
4139
y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x = 12.
Answers
9514 1404 393
Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
a) The equation for a proportional relationship is ...
y = kx
We can use the given values for x and y, and solve for k:
k = y/x = 30/6 = 5
The equation is ...
y = 5x
__
b) For x=12, the value of y is ...
y = 5·12
y = 60
PROVIDING PICTURE PLEASE HELP WILL GIVE BRAINLIEST AND 5 starts TO FIRST CORRECT ANSWER NEED NOW PLEASE AND THANK YOUU
Answers
Answer:
2. yes, the person is walking faster between 40 and 100 seconds
Step-by-step explanation:
I'm very sorry I don't know about the first one that's a little above my knowledge level :(
Doug spent $1.05 on 0.6 pounds of apples.
a.) How much would 3 pounds of apples cost?
Answers
1.75 * 3 = $5.25 for 3 pounds of apple
NEED HELP ASAP!!!
a. Write an equation in slope-intercept form for the above table.
b. Graph the line in part (a).
Answers
Answer:
y=2x+5
Step-by-step explanation:
The y-intercept is when x is o so that will be 5.
To find the slope use the slope formula which is the change of y over the change of x. Choose 2 points.
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{9-7}{2-1}[/tex]=[tex]\frac{2}{1}[/tex]=2
PLS HELP I NEED IT!!!
There is a population of 100,000 bacteria in a colony. If the number of bacteria doubles every 12
hours, what will the population be 24 hours from now?
Answers
Answer:400,000
Step-by-step explanation:If it doubles every 12 hours then the first 13 gone be 200,000 then 12 hours later it gone 400,000
what is measuring mass
Answers
Answer:
Mass is used to measure the weight of an object. For example, you are measuring the mass of your body when you step on to a scale. In the metric system of measurement, the most common units of mass are the gram and kilogram.
Madison went to Belk and purchased a sweater for $52. If she had a 15% coupon, what would be the price of
the sweater before tax?
Answers
Answer:
$7.80
Step-by-step explanation:
Can√3+5 be simplified? If so, how?
Answers
Answer:
2.8
Step-by-step explanation:
I took the test.
Answer:
5+√3(Decimal: 6.732051)
Step-by-step explanation:
√3+5
=5+√3(Decimal: 6.732051)
How many x-intercepts would the function shown below have? F(x)=-5(x^2-7)(x+6)^2(x+1)(4x+1)
Answers
Answer:
5
Step-by-step explanation:
plug this ecuation into desmos graphing calculator(it's a website). Then see how many times the graph crosses the x-axis.
To find the zeroes:
0 of a function means for what value(s) of x will the f(x) or y equal zero(0). To find the zeroes of this function, just see what numbers will make f(x) = 0. Since this equation is already factored, our job is much easier. Focus on small parts of the equation and don't get ovewhelmed by how long it its. For you problem, start by -5(x^2-7). what x will make -5(x^2-7) = 0? As long as (x^2-7) = 0, the whole equation will equal zero since any number times 0 is 0. (x^2-7)=0, move -7 to the right, x^2=7, get squre root of both sides, you will have x=plus or minus[tex]\sqrt{7}[/tex]. This is one of the zeroes. There are many more in this equation since we have more than one x-intercepts. Now using thsi tactic, you can solve for the rest of the zeroes.
there is a calculator called symbolab, It's also a website and it can calculate whatever you need.
The number of x-intercepts is five would be the given function.
What is x-Intercept?The x-intercept is defined as an intercept that is located at the x-axis of the plane, is the location or coordinate from where the line crosses,
The function is given in the question
F(x) = -5(x²-7)(x+6)²(x+1)(4x+1)
We have to determine the number of x-intercepts that would the function.
F(x) = -5(x²-7)(x+6)²(x+1)(4x+1)
The x-intercept occurs at a point where F(x) = 0
0 = -5(x²-7)(x+6)²(x+1)(4x+1)
-5(x²-7)(x+6)²(x+1)(4x+1) = 0
Here (x²-7) = 0, and (x+6)² = 0, (x+1) = 0, and (4x+1) = 0
x² = 7 , and (x+6) = 0, x = -1 , and 4x = -1
x = ±7 and x = -6 , x = -1 , and x = -1/4
x = 7, -7 and x = -6 , x = -1 , and x = -1/4
Therefore, the number of x-intercepts is five would be the given function.
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Find the sum of -3/7and its opposite. [Type your answer as a number.]
Answers
Answer:
The sum of -3/7 and its opposite is 0
Step-by-step explanation:
The problem says to find the sum of -3/7 and its opposite.
The opposite of -3/7 is +3/7
Sum means we need to add -3/7 and +3/7.
[tex]\dfrac{-3}{7}+\dfrac{3}{7}=0[/tex]
As the two fractions have opposite signs, it means when we add them we get the answer as 0.
g(x)=3x−3
If g(x)=-6, then what is x?
Answers
Answer:
x = -1
Step-by-step explanation:
3(-1) - 3
-3 - 3
-6
-6 = -6
Answer: x=-1
Step-by-step explanation:
Substitute g(x) as -6
-6=3x-3
add 3
-3=3x
divide 3
-3/3=-1
x=-1
Please help asap i will give brainliest
Answers
Answer:
area is 20
Step-by-step explanation:
Answer:
20 units squared
Step-by-step explanation:
4(base) x 10(height) = 40
40 / 2 = 20
4x^3(5x) = what,
will mark brainliest
Answers
Answer:
the answer is 20x^4
Step-by-step explanation:
too long to explain, simple answewr
PLEASE HELP! WILL MARK BRAINLIEST!
What is the slope between points T (9, -3) and U (-4, 1)?
Answers
Answer:
The slope between points T (9, -3) and U (-4, 1) is [tex]\mathbf{-\frac{4}{13}}[/tex]
Step-by-step explanation:
We need to find the slope between points T (9, -3) and U (-4, 1)
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
We are given: [tex]x_1=9,y_1=-3, x_2=-4, y_2=1[/tex]
Putting values and finding slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\\\Slope=\frac{1-(-3)}{-4-9} \\Slope=\frac{1+3}{-4-9} \\Slope=\frac{4}{-13}\\Slope=-\frac{4}{13}[/tex]
So, slope between points T (9, -3) and U (-4, 1) is [tex]\mathbf{-\frac{4}{13}}[/tex]
Un chef tiene 24 patatas. Si necesita 178 patatas para la cena de Navidad. ¿Cuántas patatas va a necesitar ahora? Luego le informan de que necesita 89 chuletones asados con mantequilla. Si cada chuletón cuesta 3 € y la unidad de caja de mantequilla 50 cts y necesita una caja para cada chuletón. ¿Cuánto se va a gastar en total?
Answers
Answer:
El chef necesitará 154 patatas.
El gasto total será 311.5 €
Step-by-step explanation:
Un chef tiene 24 patatas. Si necesita 178 patatas para la cena de Navidad. ¿Cuántas patatas va a necesitar ahora?
Para calcular la cantidad de patatas que el chef necesita debes hacer la diferencia entre la cantidad de patatas requeridas para la cena de Navidad y la cantidad de patatas que el chef ya tiene. Esto es:
178 -24= 154 patatas
El chef necesitará 154 patatas.
Luego le informan de que necesita 89 chuletones asados con mantequilla. Si cada chuletón cuesta 3 € y la unidad de caja de mantequilla 50 cts y necesita una caja para cada chuletón. ¿Cuánto se va a gastar en total?
Ahora el chef necesita 89 chuletones asados con mantequilla, y necesita una caja de mantequilla para cada chuletón. Por lo que necesita 89 chuletones y 89 cajas de mantequilla.
Si cada chuletón cuesta 3 € y la unidad de caja de mantequilla 50 cts (equivalentes a 0.5 €), entonces el gasto total será calculado como:
89 chuletones* 3 € + 89 cajas de mantequilla* 0.5 €= 311.5 €
El gasto total será 311.5 €
PLZ ANSWER ASAP ONLY IF CORRECT
Answers
Answer:
I think it's x=9 y=1
Step-by-step explanation:
3y+5=2y 20x-70=12x+2
+3y +3y -12x -12x
5=5y 8x-70=2
/5 /5 +70 +70
1=y 8x=72
/8 /8
x=9
Answer:
yh thats the answer hopee this work