Answer:
76
Step-by-step explanation:
We know the rule when finding the derivative :
dy/dx = nxⁿ⁻¹Deriving
dy/dx = 76x + 1dy/dx = 1 * 76 * (x)¹⁻¹ + 0 * 1¹⁻¹dy/dx = 76The x = 1 becomes irrelevant because there is no 'x' present in the derivative[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{d}{dx}(76x + 1) [/tex]
[tex]\qquad \sf \dashrightarrow \:76 {x}^{1 - 1} + 0[/tex]
[tex]\qquad \sf \dashrightarrow \:76 {x}^{0} + 0[/tex]
[tex]\qquad \sf \dashrightarrow \:76[/tex]
Here, we have got a constant number, therefore for any value of x it will be 76
Therefore, derivative of 76x + 1 at x = 1 is 76
Solve for x please and round
Answer:
[tex]\displaystyle 74,4[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{67} = cot\:42 \hookrightarrow 67cot\:42 = x \hookrightarrow 74,411038494... = x \\ \\ 74,4 ≈ x[/tex]
OR
[tex]\displaystyle \frac{67}{x} = tan\:42 \hookrightarrow xtan\:42 = 67 \hookrightarrow \frac{67}{tan\:47} = x \hookrightarrow 74,411038494... = x \\ \\ 74,4 ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Find the equation of the line that passes through (1,4) and is parallel to 3x+y+2=0. Leave your answer in the form y=mx+c.
Answer:
y = -3x + 7.
Step-by-step explanation:
First find the slope of the given line by converting to intercept form:
3x + y + 2 = 0
y = -3x - 2
So the slope is -3.
Then the line we want has a slope of -3 also (as it is parallel).
y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line:
m = -3, x1 = 1 and y1 = 4, so we have:
y - 4 = -3(x - 1)
y = -3x + 3 + 4
y = -3x + 7.
If x represents the molar solubility of b a 3 ( p o 4 ) 2 , what is the correct equation for the k s p ?
The molar solubility of Ba₃(PO₄)₂ is its concentration of pure substance
The correct equation for the ksp is Ksp = 6x⁵
How to determine the equation of ksp?Start by writing the reaction for the solution of Barium phosphate
Ba₃(PO₄)₂ ⇌3Ba²⁺ +2PO₄³⁻
Next, we make an ICE chart
Let "x" be the molar solubility of Barium phosphate
Ba₃(PO₄)₂(s) ⇌3Ba²⁺ +2PO₄³⁻
I 0 0
C +3x +2x
E 3x³ 2x²
Lastly, we write the expression for the solubility product constant (Ksp)
This is represented as:
Ksp = [3Ba²⁺] × [2PO₄³⁻]²
Ksp = 3x³ × 2x²
Evaluate the product
Ksp = 6x⁵
Hence, the correct equation for the ksp is Ksp = 6x⁵
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The molar solubility of Ba₃(PO₄)₂ is its concentration of a pure substance.
The correct equation for the ksp is Ksp = 6x⁵.
How to determine the equation of ksp?The solubility product constant is the equilibrium constant for the dissolution of a solid substance into an aqueous solution. It is denoted by the symbol Ksp.
Start by writing the reaction for the solution of Barium phosphate.
Ba₃(PO₄)₂ ⇌3Ba²⁺ +2PO₄³⁻
Let "x" be the molar solubility of Barium phosphate
Ba₃(PO₄)₂(s) ⇌3Ba²⁺ +2PO₄³⁻
I 0 0
C +3x +2x
E 3x³ 2x²
Lastly, we write the expression for the solubility product constant (Ksp),
This is represented as:
Ksp = [3Ba²⁺] × [2PO₄³⁻]²
Ksp = 3x³ × 2x²
Evaluate the product
Ksp = 6x⁵
Hence, the correct equation for the ksp is Ksp = 6x⁵
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I need to know 219.8 x 0.48.
Answer:
105.504
Step-by-step explanation:
A cylinder has a base diameter of 20ft and a height of 5ft. What is its volume in cubic ft, to the nearest tenths place?
Answer:
Formula for volume of cylinder;
V = π[tex]r^{2}[/tex]h
Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is 1/2 x diameter (half of diameter = radius) which is squared, and 'h' which represents the height.
To find the radius of the diameter 5, we must find 1/2 of 5:
1/2 x 5
5/2 = 2.5 is our radius.
Now we plug these into our equation:-
V = π[tex]r^{2}[/tex]h
V = 3.14(2.5^2) x 20
V = 3.14(6.25) x 20
V = 19.625 x 20
V = 392.5 cubic feet.
Find the size of angle x.
Answer:
x = 115°
Explanation:
x + 81° + 164° = 360°x + 245° = 360°x = 360° - 245°x = 115°Answer:
x=115°
Step-by-step explanation:
whole thing is supposed to = 360° so
164+81+x=360
245+x=360
x=115
1. What number, when substituted for x in the following problem, will make the problem true?
6X + 8% = 107
Answer:
x = 17.82
Step-by-step explanation:
6x + 8% = 107
-8% -8%
or
107 - 0.08 = 106.92
-----------------------------------
6x = 106.92
÷6 ÷6
x = 17.82
------------------------------------
I hope this helps!
0.09+
100
27
=
100
+
100
27
Answer:
x = 9#
Step-by-step explanation:
need help with answer just ask me i got yall
What is the measure of angle L and F? WILL GET BRAINLIEST!!!!!!
what is the correct answer to this?
Answer:
1.4 meters
Step-by-step explanation:
Given,
Volume of rectangular prism ( V ) = 18.144 cubic meters
Width ( w ) = 2.7 m
Length ( l ) = 4.8 m
To find : d
Here, d is Height ( h ).
Formula : -
V = whl
18.144 = 2.7 x 4.8 x d
18.144 = 12.96 x d
d = 18.144 / 12.96
d = 1.4 meters
[tex] \huge\fbox\green{ANSWER} [/tex]
[tex]v = l \times w \times h[/tex]
[tex]18.144 {m}^{3} = 4.8m \times 2.7m \times d[/tex]
[tex]18.144 {m}^{3} = 12.96 \times d[/tex]
[tex] \frac{18.144 {m}^{3} }{12.96 {m}^{2} } = \frac{12.96 {m}^{2} }{12.96 {m}^{2} } \times d[/tex]
[tex]1.4m = d[/tex]
John ordered a large three topping pizza for $7. 50 and a large 8 topping pizza for $10. Write an equation in slope-intercept form to describe the situation. (use fractions) (15 points)
to get the equation of any straight line, we simply need two points off of it, well, let's use the provided values hmmm
[tex]\begin{array}{ccll} \stackrel{toppings}{x}&\stackrel{cost}{y}\\ \cline{1-2} 3 & 7.50\\ 8& 10 \end{array} \qquad\implies \qquad (\stackrel{x_1}{3}~,~\stackrel{y_1}{7.50})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{7.50}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{3}}}\implies \cfrac{2.5}{5}\implies \cfrac{~~ \frac{25}{10}~~}{5}\implies \cfrac{25}{50}\implies \cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7.50}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{3})\implies y-\cfrac{750}{100}=\cfrac{1}{2}(x-3) \\\\\\ y-\cfrac{15}{2}=\cfrac{1}{2}x-\cfrac{3}{2}\implies y=\cfrac{1}{2}x-\cfrac{3}{2}+\cfrac{15}{2}\implies y=\cfrac{1}{2}x-6[/tex]
help with q7 please !!
Step-by-step explanation:
[tex] \frac{dA}{dx} = 3 {(x - 1)}^{2} \\A = ∫3 {(x - 1)}^{2}dx \\ = ∫3 {x}^{2} - 6x + 3 \: dx \\ = \frac{3 {x}^{3} }{3} - \frac{6 {x}^{2} }{2} + 3x + c \\ = {x}^{3} - 3 {x}^{2} + 3 + c[/tex]
Now substitute in A=10 and X=3, to find the value of c
[tex]10 = {3}^{3} - 3 {(3)}^{2} + 3(3) + c \\ c = 1[/tex]
Hence,
[tex]A = {x}^{3} - 3 {x}^{2} + 3x + 1[/tex]
The amount of money Camilla earns varies directly with the number of hours she works. If she earns $150 when she works 20 hours, how much will she earn for working 60 hours?
What is k ? (k = y/x)
What is the equation for the direct variation situation? (y = kx)
How much will she earn for working 60 hours?
What is k ? (k = y/x)
If y is dollars earned and x is hours worked,
k = y/x
k = 150 dollars /20 hours
k = 7.50 dollars per hour
What is the equation for the direct variation situation? (y = kx)
y = kx
y = (7.50)(60)
y = 450
How much will she earn for working 60 hours?
y = $450
She will earn $450 after working for 60 hours.
Destiny performs a hypothesis test on a population with µ = 115 and Sigma = 30. Her sample size is 25 with a mean of 120. 4. Which of the following correctly depicts the z-statistic for this data? 0. 04 0. 90 3. 53 3. 93.
The correct answer which refers to the z-statistic for this data is b)0.90.
What is a Hypothesis Test?The hypothesis Test refers to the statistical approach where the test is applied to an assumption regarding a population parameter.
It is given that µ = 115 and Sigma = 30.
sample size is 25 with a mean of 120.4
The formular for z-statistic is
z = (x – u) / (σ / sqrt n)
Therefore, we input the values and we get
z = (120.4 – 115) / (30 / sqrt 25)
We calculate further and we get
z = 0.90
Therefore, the correct answer is option b.
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the volume of a cylinder is 411π in^3. The height of the cylinder is 9 in. Calculate the diameter of the cylinder to the nearest tenth of a centimeter.
Answer:
13.5 in, or 34.3 cm.
Step-by-step explanation:
First, use the formula volume = pi * r^2 * height- you have the volume, so just solve the equation 411pi = pi * 9 * r^2 for r, and you get that r = 6.75. Since diameter is equal to 2r, multiply 6.75 by 2 to get your answer of 13.5 inches. The questions asks for the diameter in centimeters though, which makes it 34.3 cm.
Hopefully this helps- let me know if you have any questions!
Not an actual test question but just curious:
if an exponential function is flipped by the x axis then is that function still positive or negative.
EX:
well, when we use the word "the function" we're referring to the dependent part, which depends on the independent, y,x wise, we're referring to the function "y" or f(x) if you wish.
so for an exponential function
is the function ever positive only? it can be
is it negative only? it can be
can it be both? sure thing, most of the time it's both
we can say a function f(x) is always positive when the independent values of "x" yield a positive value only, mind you that when we're talking about "the function" we're really referring to the resulting values in a set, so can the values of the output no matter what "x" we use be always positive? sure, can they also be negative only? sure, how about both? sure thing.
notice the template in the picture below, we can transform any exponential function like the one above 2ˣ with some vertical shift upwards, and is always positive, or -2ˣ with a vertical shift downwards and it's always negative, or we can stretch it about and have -2ˣ shifted upwards so sometimes is positive, and sometimes is negative.
above the x-axis is always positive, below is negative, but with transformations on the parent function it can be any of the three types.
The table shows information about town a in illinois and town b in florida. a 3-column table has 2 rows. the first column has entries town a, town b. the second column is labeled population with entries 54,016, question mark. the third column is labeled area (miles squared) with entries 3.89, 0.37. if the two towns have the same population density, which must also be true? town b has the same population as town a. town b has a greater population than town a. town b has a population of approximately 5,138. town b has a population of approximately 37,530.
Answer:
c. Town B has a population of approximately 5,138.
Step-by-step explanation:
sorry its late
Based on the population density, town B has a population of approximately 5138; option C
What is population density?Population density is the ratio of the total population of a place and the area of the place.
Population density = population/areaPopulation density of A = 54016/3.89 = 138885.86 per square miles
Population density of B = 138885.86 per square miles
Population of B = 138885.86 × 0.37 = 5138
Therefore, town B has a population of approximately 5138.
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If x=3, calculate the value of:
X squared + 2x
[tex]x^2+2x\\\\\text{If x = 3,}\\\\3^2 + 2(3) = 9 + 6 = 15[/tex]
complementary
supplementary
neither
Answer:
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. Note that in these definitions, it does not matter whether or not the angles are adjacent; only their measures matter.
Step-by-step explanation:
hope its help po
correct me if im wrong
Two angles say x and y, are said to be complementary iff the sum of both angles x and y is 90° , while on the another hand, if their sum is 180°, they're called supplementary angles. So, here 75° + 105° = 180°, so both the angles are supplementary.
Hence, the required answer is supplementary
which shape is a trapeziod with only 1 pair of parallel sides
Answer: A Quadrilateral is a trapeziod with only 1 pair of parallel sides.
Hope this helps!
Answer:
The trapezoid itself, including quadrilaterals.
Trapezoids have 1 pair of parallel sides. See picture below.
Identify the center and the radius of a circle that has a diameter with endpoints at (−5, 9) and (3, 5)
Check the picture below, so the circle looks more or less like that one.
well, the center of it is simply the Midpoint of those two points, and its radius is simply half-the-distance between them.
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 3 -5}{2}~~~ ,~~~ \cfrac{ 5 + 9}{2} \right)\implies \left( \cfrac{-2}{2}~~,~~\cfrac{14}{2} \right)\implies \stackrel{center}{(-1~~,~~7)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[3 - (-5)]^2 + [5 - 9]^2}\implies d=\sqrt{(3+5)^2+(-4)^2} \\\\\\ d=\sqrt{8^2+16}\implies d=\sqrt{80}\implies d=4\sqrt{5}~\hfill \stackrel{\textit{half the diameter}}{\cfrac{4\sqrt{5}}{2}\implies \underset{radius}{2\sqrt{5}}}[/tex]
You create a recipe for slime by making some 20% pure slime and some 80% pure to create 100 gallons of a 65% slime mixture. How man gallons of the 20% mixture are needed
About 25 gallons of 20% mixture are needed to make the 80% mixture.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of gallons of 20% mixture needed, hence:
(20% of x) + (80% of y) = 65% of 100
0.2x + 0.8y = 65 (1)
Also:
x + y = 100 (2)
From both equations:
x = 25, y = 75
About 25 gallons of 20% mixture are needed to make the 80% mixture.
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Rachel designs a small flower garden for her new home. The garden is the shape of a rectangle, with a quarter circle added to each of the shorter sides of the rectangle. The shorter sides of the rectangle each measure 4 feet. The area of the garden is 73.12 ft2. What is the length of the other dimension rectangular portion of the garden?
Use 3.14 as an approximation for pi.
The length of the other dimension rectangular portion of the garden is 12 feet.
What is area?Area is the amount of space occupied by a two dimensional shape or object.
The area of each semicircle = (1/4) * π * radius² = (1/4) * π * 4² = 12.56 ft²
Let x represent the other side of the rectangle, hence:
Area of garden = 2(12.56) + 4x = 4x + 25.12
Hence:
73.12 = 4x + 25.12
x = 12 feet
The length of the other dimension rectangular portion of the garden is 12 feet.
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Write an expression equivalent to 6 — 2.2 +5+ 4. that only has two
terms.
Answer:
3.8 + 9?
Step-by-step explanation:
The graph shows △ABC and the midpoints for each segment.
What statements showing the medians of a triangle meet at a point are TRUE?
A.
The equation of the lines of the medians are x=0, y=−x+8, and y=x.
The ordered pair solution of each pair of system of equation is (0,8).
B
The equation of the lines of the medians are x=0, y=−x+8, and y=x.
The medians do not meet at one point for this triangle because one equation is a vertical line.
C
The equation of the lines of the medians are y=3x, y=4, and y=−3x+8.
The ordered pair solution of each pair of system of equation is (43,4).
D
The equation of the lines of the medians are y=3x, y=4, and y=−3x+8.
The medians do not meet at one point for this triangle because two equations have opposite slopes.
Answer: C
Step-by-step explanation:
What percent of the values represented in this box-and-whisker plot are between 20 and 30?
5
20
25
30
45
about 10%
about 25%
about 50%
about 75%
pls answer i will give brainliest
Answer:
10%
Step-by-step explanation:
I took the test on K12 and I know that's the answer.
For my quiz the answer is 50%
what is the factored form of the equation f(x)=4x^2-4x-8
Answer:
4(x² - x - 2)
Step-by-step explanation:
The highest common factor is 4 so factor it out.
Answer:
Step-by-step explanation:4x2−4x−84x2-4x-8Factor 44 out of 4x2−4x−84x2-4x-8.
Factor 44 out of 4x24x2.4(x2)−4x−84(x2)-4x-8Factor 44 out of −4x-4x.4(x2)+4(−x)−84(x2)+4(-x)-8Factor 44 out of −8-8.4(x2)+4(−x)+4(−2)4(x2)+4(-x)+4(-2)Factor 44 out of 4(x2)+4(−x)4(x2)+4(-x).4(x2−x)+4(−2)4(x2-x)+4(-2)Factor 44 out of 4(x2−x)+4(−2)4(x2-x)+4(-2).4(x2−x−2)
Factor x2−x−2x2-x-2 using the AC method
Consider the form x2+bx+cx2+bx+c. Find a pair of integers whose product is cc and whose sum is bb. In this case, whose product is −2-2and whose sum is −1-1.−2,1
Write the factored form using these integers.4((x−2)(x+1))4((x-2)(x+1))Remove unnecessary parentheses.4(x−2)(x+1)
Which expression is equivalent to 16 4 6 ax?
Answer:
i believe the correct answer is a
Understanding Distance Units
х
Stephen Kiprotich, the 2012 Olympic marathon winner,
completed the 26.219 miles in 128 minutes. What was
his speed in kilometers per minute? ?
What steps should you take to solve this problem?
Answer:
divide
Step-by-step explanation:
divide 26.216 and 128 to get ur anser
A baker needs 500 cupcake wrappers for this month's orders.
He has 365 cupcake wrappers in his store.
He buys an additional 250 cupcake wrappers.
He wants to see if he has enough cupcake wrappers.
Complete the statements. Answer All
1. Should the baker round the wrappers up or down?
2. Estimate the total number for wrappers.
3. The baker has or doesn't have enough cupcake wrappers.
(I kinda forgot how to round and estimate
Answer:
the Baker should round up.
365=400 250=300 400+300=700. the Baker does have enough. and even if you add 365+ 250 you get 615 over 500.
The total number of wrappers is 615 wrappers, which implies bakes has enough cupcake wrappers.
Given that,
A baker needs 500 cupcake wrappers for this month's orders, he has 365 cupcake wrappers in his store. He buys an additional 250 cupcake wrappers.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Total number of wrappers = 365 + 250 = 615
But according to the condition, a baker needs 500 cupcake wrappers for this month's orders. So the number of wrappers exceeds 15.
Thus, the total number of wrappers is 615 wrappers, which implies bakes has enough cupcake wrappers.
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