Hi there!
\(\large\boxed{4x - 2}\)
7x - (3x + 2)
Simplify by distributing the negative sign:
7x - (3x) - (2)
Combine like terms:
4x - 2
Answer:
2(2x - 1)
Step-by-step explanation:
opening the parenthesis and distributing the - sign to both 3x and 2
= 7x - 3x - 2
= 4x - 2
taking 2 common
= 2 (2x - 1)
2x + -3 = -23
what is the value of x ?
Answer:
The value of X is -10
Step-by-step explanation:
Answer:the value is -10
Two altitudes of a triangle have lengths $12$ and $15$. What is the longest possible integer length of the third altitude
Let ABC be the given triangle. We can construct two triangles PAB and PBC such that they share the same height from P to AB and P to BC, respectively. We can label the side lengths of PAB and PBC as x and y, respectively. The total area of the triangle ABC is the sum of the areas of PAB and PBC:
Area_ABC = Area_PAB + Area_PBC We can write the area of each of the sub-triangles in terms of x and y by using the formula for the area of a triangle: Area_PAB = (1/2)(12)(x) = 6xArea_PBC = (1/2)(15)(y) = (15/2)y Setting the areas equal to each other and solving for y yields: y = (4/5)x Substituting this into the equation for the area of PBC yields:
Area_PBC = (1/2)(15/2)x = (15/4)x The area of ABC can also be written in terms of x by using the formula: Area_ABC = (1/2)(AB)(PQ) = (1/2)(12)(PQ) + (1/2)(15)(PQ) = (9/2)(PQ) Setting the areas equal to each other yields:(9/2)(PQ) = 6x + (15/4)x(9/2)(PQ) = (33/4)x(9/2)(PQ)/(33/4) = x(6/11)PQ = x(6/11)Thus, we can see that the longest possible integer length of the third altitude is $\boxed{66}$.
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16 Select the correct answer. An ounce of cheese can be estimated by: A. One hand cupped. B. The size of your fist. C. The size of the palm of your hand. D. The size of your thumb.
Answer:
D
Step-by-step explanation:
Find the HCF of
x
3
y
3
and
y
4
Answer:
y^3
Step-by-step explanation:
x^3 y^3 and y^4
y^3 * x^3 and y^3 * y
Ginas pet pot bellied pigs is on a diet. He can have no more than 18 ounces of pig food per day. How many scoops of pig food can Gina feed the pig without going over 18 ounces?
PLS I NEED HELP ASAP
Answer:
Step-by-step explanation:
Need to know how many ounces in a scoop of pig food. Is there a ratio or formula associated? Lmk.
Take the derivatives of the following functions. Do not simplify. a. f(x)=10x
4
f(x)= b. f(x)=20x+30x
3
f(x)= c. f(x)=(10+2x
2
)(5x−x
2
)f(x)=
d. f(x)=
20xx
2
f(x)=
a. f'(x) = 40x³
To find the derivative of f(x) = 10x⁴, we apply the power rule.
The power rule states that if f(x) = axⁿ, then f'(x) = naxⁿ⁻¹. Applying this rule, we get f'(x) = 4 * 10x³ = 40x³.
b. : f'(x) = 20 + 90x²
To find the derivative of f(x) = 20x + 30x³, we differentiate each term separately. The derivative of 20x is 20, and the derivative of 30x³ is 90x² (applying the power rule). Adding these derivatives, we get f'(x) = 20 + 90x².
r: f'(x) = (20x - 4x²)(5x - x²) + (10 + 2x²)(-2x + 5)
To find the derivative of f(x) = (10 + 2x²)(5x - x²), we apply the product rule. The product rule states that if f(x) = g(x) * h(x), then f'(x) = g'(x) * h(x) + g(x) * h'(x). Differentiating each term, we get f'(x) = (20x - 4x²)(5x - x²) + (10 + 2x²)(-2x + 5).
d.: f'(x) = 40x
To find the derivative of f(x) = 20x / (x²), we use the quotient rule. The quotient rule states that if f(x) = g(x) / h(x), then f'(x) = (g'(x) * h(x) - g(x) * h'(x)) / (h(x)²). In this case, g(x) = 20x and h(x) = x². After differentiating and simplifying, we obtain f'(x) = 40x.
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Explain how a formula can help solve problems.
Answer:
A formula can help solve problems as it gives the person a step-by-step mini key or guide when needing to actually answer a mathematical or scientific equation or question.
question is in the picture
Answer:
4th triangle
Step-by-step explanation:
The correct answer for the given problem above would be the fourth triangle. So here is the given solution: Since Triangle 1 is already given with a measurement of 50 inches, and 80% of 50 inches if 40. Triangle 2 then is 40 inches. 80% of 40 is 32, so triangle 3 is 32 inches, and then 80% of 32 is 25.6 inches so triangle 4 is 25.6 inches. Therefore, the triangle that will first have a side length of less than 29 inches is triangle 4.
hope this was helpful :)
What is the degree of 5x^5+8x^2+2x-3x^9-8x^4-4x^5
Answer:
9
Step-by-step explanation:
It is the greatest exponent.
can somebody help me with the question i asked before this.....please
Answer:
yes, im about to look at it.
Step-by-step explanation:
please help me due soon
Answer:
- 7.2
Step-by-step explanation:
it is division and we need to take the reciprocal and multiply it will be -9/5. we need to simplify leaving us -7.2
- 3/8 / - 6/7
divide
Enter answer as a fractions below
Answer:
7/16
Step-by-step explanation:
(-3/8)/(-6/7) = (-3x7)/(8 x (-6)) = (-21)/(-48) = 7/16.
an experiment consists of throwing a fair coin four times. find the frequency function and the cumulative distribution function of the following random vari- ables: (a) the number of heads before the first tail, (b) the number of heads following the first tail, (c) the number of heads minus the number of tails, and (d) the number of tails times the number of heads.
There are five possible outcomes: H, TH, TTH, TTTH, and TTTT, where H stands for head and T stands for tail. Among these outcomes, H occurs only once,
(a) The number of heads before the first tailWhen tossing a fair coin four times, we need to determine the probability of tossing a head before the first tail occurs.
Here, we can assume that each toss is independent, meaning that the outcome of one toss does not heads the outcome of the other tosses.
There are five possible outcomes: H, TH, TTH, TTTH, and TTTT, where H stands for head and T stands for tail. Among these outcomes, H occurs only once,
TH occurs twice, TTH occurs twice, and TTTH and TTTT each occurs only once. Thus, the frequency function for the number of heads before the first tail can be determined as follows:X: 0 1 2 3 4f(X): 1 2 2 1 0The cumulative distribution function (CDF) can be calculated by summing up the probabilities of each outcome up to and including the current value of X:
FX: 0 1 2 3 4F(X): 0 1/16 5/16 13/16 1(b) The number of heads following the first tailSimilarly,
we can determine the frequency function and the cumulative distribution function for the number of heads that occur following the first tail.
Again, we can assume that each toss is independent, meaning that the outcome of one toss does not affect the outcome of the other tosses.
There are four possible outcomes: T, HT, HHT, and HHHT, where H stands for head and T stands for tail. Among these outcomes,
T occurs only once, HT occurs twice, HHT occurs twice, and HHHT occurs only once. Thus, the frequency function for the number of heads following the first tail can be determined as follows:
Y: 0 1 2 3f(Y): 1 2 2 0The cumulative distribution function (CDF) can be calculated by summing up the probabilities of each outcome up to and including the current value of Y:GY: 0 1 2 3G(Y): 0 1/2 3/4 1
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Evaluate the surface integral of the function g(x,y,z) over the surface s, where s is the surface of the rectangular prism formed from the coordinate planes and the planes x=2 y=2 z=3
The surface integral of the function g(x, y, z) over the surface S is evaluated.
To evaluate the surface integral, we consider the rectangular prism formed by the coordinate planes and the planes x = 2, y = 2, z = 3. This prism encloses a six-sided surface S. The surface integral of a function over a surface measures the flux or flow of the function across the surface.
In this case, we are integrating the function g(x, y, z) over the surface S. The specific form of the function g(x, y, z) is not provided in the given question. To evaluate the surface integral, we need to know the expression of g(x, y, z).
Once we have the expression for g(x, y, z), we can set up the integral by parameterizing the surface S and calculating the dot product of the function g(x, y, z) and the surface normal vector. The integral will involve integrating over the appropriate range of the parameters that define the surface.
Without the specific expression for g(x, y, z) or further details, it is not possible to provide the exact numerical evaluation of the surface integral. However, the general procedure for evaluating a surface integral involves parameterizing the surface, setting up the integral, and then performing the necessary calculations.
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the base of a solid is bounded by y = √ x , y = 0 , x = 2 , and x = 6 . its cross-sections, taken perpendicular to the x-axis, are squares. find the volume of the solid in cubic units. show all work.
Answer:
16 cubic units
Step-by-step explanation:
\(\displaystyle V=\int^b_aA(x)\,dx\\\\V=\int^6_2(\sqrt{x})^2\,dx\\\\V=\int^6_2x\,dx\\\\V=\frac{1}{2}x^2\biggr|^6_2\\\\V=\frac{1}{2}(6)^2-\frac{1}{2}(2)^2\\\\V=\frac{1}{2}(36)-\frac{1}{2}(4)\\\\V=18-2\\\\V=16\)
A(x) represents the area of the cross-section, so in this case, we square \(\sqrt{x}-0\) which is just \(\sqrt{x}\)
nhân tố nào không tác động tới sự thành lập của hiệp hội các quốc gia đong nam á asean
Answer:
what are you writing
Step-by-step explanation:
kaakajwb kajbejz jwjbwbkak kab sjwube siowihdt. sjwjbwjw wujwbw wuuwvwkwo JC e shhxje a jsiswomansujsbe sjjeehhee ssusbsg
I don’t understand my math test. please help!! :)
Answer:
4 ) {2,3}
5) {0,1,2,3,4,5}
6) { }
Solve for x please help me
Answer:
4
Step-by-step explanation:
By intersecting chords theorem:
\(12x = 3(x + 12) \\ \\ 12x = 3x + 36 \\ \\ 12x - 3x = 36 \\ \\ 9x = 36 \\ \\ x = \frac{36}{9} \\ \\ x = 4\)
△abc has a right angle at c, bc=9.2 centimeters, and m∠a=63∘. what is ca ? enter your answer rounded to the nearest tenth in the box. cm
The box's CA measures 4.7 cm in length.
Given data;
△ABC has a right angle at C, BC = 9.2 centimeters, and ∠A=63°
To know CA;
Let CA = x
As per the given case,
In a triangle sum of angles = 180°
90° + 63° + C = 180°
C = 27°
Now,
From the △ABC;
tan 63° = 9.2/x
x = 9.2/tan 63°
x = 4.687
x = 4.7
Therefore, the length of CA in the box is 4.7 cm
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A motor bike depreciated in value from 4500 to 3285. calculate the percentage depreciation
The percentage depreciation is 27 % .
What is percentage ?
Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.Given ,
from 4500 to 3285 is depreciation value of a motor bike.
So,
= \(\frac{( 4500 - 3285 )} {4500} * 100\)
= \(\frac{1215}{4500} * 100\\\)
= \(\frac{121500}{4500}\)
= 27 %
Therefore, The percentage depreciation is 27 % .
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find the number that belongs in the green box.
round your answer to the nearest tenth.
Step-by-step explanation:
By Sine Rule, 13/sin96° = x/sin25°.
Hence, x = 13sin25°/sin96° = 5.5.
heyy i need help please help mee thank U
Answer:
click the text you will see the answer
Step-by-step explanation:
I hope it's helpful for u
you should mark them brainliest now
what is the multiplier for 0.85% and 300% growth?
"The multiplier for 0.85% growth is calculated by adding 1 to the percentage as a decimal:
Multiplier for 0.85% growth = 1 + 0.0085 = 1.0085
The multiplier for 300% growth is calculated in the same way:
Multiplier for 300% growth = 1 + 3.00 = 4.00
Therefore, the multipliers for 0.85% and 300% growth are 1.0085 and 4.00, respectively." (ChatGPT, 2023)
Find the value of x that makes m||n
Using alternating and corresponding angle theorems, the values of x are 11, 4, -4 and 10 respectively
Alternating and Corresponding Angle TheoremAlternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.
1)
9x + 8 = 107 (alternating angles are equal)
9x + 8 = 107
9x = 107 - 8
9x = 99
x = 11
2)
20x = 80 (alternating angles are equal)
20x = 80
x = 4
3)
x + 84 = 80 (corresponding angles are equal)
x = 80 - 84
x = -4
4) 120 + 6x = 180
This is gotten from applying alternating angle theorem and angle on a straight line theorem
120 + 6x = 180
6x = 180 - 120
6x = 60
x = 10
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help please
simplify (5x-3)^2
Answer:
\(\Longrightarrow: \boxed{\sf{25x^2-30x+9}}\)
Step-by-step explanation:
Isolate the term of x from one side of the equation.
Use the perfect square formula.
\(\underline{\text{PERFECT SQUARE FORMULA:}}\)
\(\Longrightarrow: \sf{(A-B)^2=A^2-2AB+B^2}\)
(5x-3)²
(5x-3)²= (5x)²-2*5x*3+3²
Solve.
\(\sf{(5x)^2-2*5x*3+3^2=\boxed{\sf{25x^2-30x+9}}}\)
Therefore, the final answer is 25x²-30x+9.Answer:
25x² - 30x + 9Step-by-step explanation:
The identity
(a - b)² = a² - 2ab + b²In this case, a = 5x and b = 3, so substituting the values :
(5x - 3)²(5x)² - 2(5x)(3) + (3)²25x² - 30x + 9From the set {2, 6, 42}, use substitution to determine which value of x makes the equation true.
6(x + 40) = 252
A.
2
B.
none of these
C.
6
D.
42
I'LL GIVE BRAINLIEST !!! FASTER
please explain how do you get the answer
Answer:
84°
Step-by-step explanation:
angles in a quadrilateral add to 360°. 360-(114+76)=5x =170°. 170°/5 = 32°. x=32°
angles on a straight line add to 180°.
2x = 64°. 180-64=116°. y=116°.
y-x = 116-32 = 84°
Answer:
\(78\)
Step-by-step explanation:
The inner angles of a quadrilateral all add up to 360. This means we can write the following
\(114 + 76 + 3x + 2x = 360\\190 + 5x = 360\\5x = 170\\x = 34\)
Now that we have x we can find y. Notice that y and 2x are on the same line. Any line cutting another straight line will create two angles that add up to 180.
Therefore we can write
\(2x + y = 180\\2(34) + y = 180\\y = 112\)
Finally computing y - x
\(y - x = 112 - 34 = 78\)
At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack.
Based on this information, if 700 students were at the assembly, how many students could be
expected to be carrying a backpack?____
Answer:
490 students.
Step-by-step explanation:
7 out of 10 students would be a percentage of 70% which is 0.7 in decimal form. To find out how many students would be expected to be carrying a backpack out of 700 students, 700 * 0.7 = 490 students.
Please help me on this question
Answer:
8π
Step-by-step explanation:
A=180/360×π(4^2)
A=1/2×16π
A=8π
con pee1.2.2532% of college students say they use credit cards because of the rewards program You randomly select 10 college students and ask each to name the reason he or she uses credit cards Find the probarcredit cards because of the rewards program is (a) exactly two. (b) more than twoand (c) between two and five inclusive. If convenient use technology to find the probabilities(a) P(2)=Round to the nearest thousandth as needed)
Multiply the number of students (10) by the percentage that say that they use credit cards because of the rewards program (32%)
First, write the percentage in decimal form, by dividing it by 100:
32/100 = 0.32
Now multiply:
10 x 0.32 = 3.2 students
More than 2