The quotient of the expression (4.617 × 10³ ) ÷ (5,700 ÷ 10² ) is 81.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
The expression is;
(4.617 × 10³ ) ÷ (5,700 ÷ 10² )
Now, Solve the expression by using BODMAS rule;
= (4.617 × 10³ ) ÷ (5,700 ÷ 10² )
= 4,617 ÷ 57
= 81
Thus, The quotient of the expression (4.617 × 10³ ) ÷ (5,700 ÷ 10² ) is 81.
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The measure of an angle is 78.3°. What is the measure of its complementary angle?
The complementary angle of the angle is 11.7 degrees
What are angles?Angles are formed when two or more lines intersect. This in other words means that angles is the measure of space between the intersection of rays or lines
How to determine the complementary angle?The measure of the angle is given as
Angle = 78.3 degrees
Complementary angles add up to 90 degrees
So, we have the other angle to be
Other angle = 90 - 78.3
Evaluate the difference
Other angle = 11.7
Hence, the other angle is 11.7
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Three sisters each bought 3 pairs of shoes and a dress the dress cost 45.50 if the total cost of the bill was 352.50 how much did a pair of shoes cost
A pair of shoes cost 102.23
Arithmetic: Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. The basic operations of math are addition, subtraction, multiplication and division. Also called higher arithmetic, theoretical arithmetic.
Cost of 3 pairs of shoes and a dress = 352.50
Cost of dress = 45.50
Cost of 3 pairs of shoes = Cost of 3 pairs of shoes and a dress - the cost of dress = 352.20 - 45.50
= 306.7
So, the cost of each pair of shoes will be = Cost of 3 pairs of shoes/Number of pairs bought
= 306.7/3
= 102.23
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Directions: Find the slope between
1. (-8, 18) and (-14, -3)
Answer: The slope of (-8, 18) and (-14, -3) would be 3.5.
Step-by-step explanation: By using a simple calculator, specifically the TI-84 Plus CE, you can put the points you mentioned in stat and it’ll give you an equation based on those points. The equation I got was y = 3.5x + 46. The number attached to the X is your slope.
Jenn is baking 80 pumpkin spice cookies for a fundraiser. She gets ready to start cutting out cookies at 3:30pm, first rolling out the dough and getting her cookiecutters ready. At 3:38pm she has 12 cookies cut out. By 3:40pm, she has 20 cookies cut out. If she cuts out cookies at a constant rate, when will she be finished cutting out the 80 cookies?
Answer: 4:30
Step-by-step explanation:
Answer:
oh palak cl NC do off is sold em Ms do off do off dlc so off do off sum is sold arrowroot
-7/8u = -21 solve for u and simplify your answer as much as possible
Answer:
u= 18.37
Step-by-step explanation:
-7/8 u= -21
We have to isolate the variable. Since the -7 is being divided, you would take it to the other side and multiply.
8u= -21 * -7
8u= 147
u= 147/8
u= 18.37
WILL GIVE BRAINLIEST PLS HELP SOLVE
Answer:
The equation is:
y = -3x + 3
Jada drew triangle ABC. If angle B is a right angle, what are possible measures for the other two angles?
angle A:
The possible measures for the other two angles will be that the sum of that angle must be 90 degree.
A triangle is considered to be 3-sided polygon in some cases Each triangle has three sides and three angles, a few of which may be the same. The portion of the plane enclosed by the triangle is said the triangle interior, whereas the leftover portion is the exterior. Since we are given that one of the angles of the given is a right angle, according to one of the rules of the triangle the sum of all the interior angles of a triangle should be 180, for the triangle ABC,
=>A+B+C = 180
=>A+90+C= 180
=>A+C= 180-90
=>A+C=90
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difference between a number and its positive square root is 12?find the number?
Is a number closer to 0 greater or less than a number more away from 0? (negatives and positives)
Answer:
A number closer to 0 is generally less than a number more away from 0. When it comes to negative numbers the closer the number to 0, the greater it is.
Step-by-step explanation:
If you need further help please let me know.
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2.2 Proof of planning right angles
The two column proof of the right angles to prove that ∠1 ≅ ∠2 is as shown below
How to carry out two column proof of right angles?From the given image showing two right angles, we can generate the two column proof to be as follows;
Statement 1: m∠1 = 90° and m∠2 = 90°
Reason 1: Given
Statement 2: ∠1 and ∠2 are right angles
Reason 2: Definition of right angles
Statement 3: m∠1 = ∠2
Reason 3: Transitive Property of Congruence
Statement 4: ∠1 ≅ ∠2
Reason 4: Definition of Congruence
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HELP ME PLEASE!!!!! will give brainlist
Answer:
3/4
-2
Step-by-step explanation:
y = mx + b
Start at the y-intercept. It is (0, -2), so b = -2.
You have
y = mx - 2
Now start at (0, -2). We need to go up and right to the next easy-to-read point on the line. Go up 3 (rise). Go right 4 (run).
slope = rise/run = 3/4 = m.
Now you have
y = 3/4 x - 2
Answer:
See below
Step-by-step explanation:
Use two convenient integer coordinates to calcuate m= slope
I'll use 8,4 and -4, -5 slope m = (-5-4)/(-4-8) = -9/-12 = 3/4
from the graph, the y-axis intercept (b ) is -2
slope - intercept form of a line is given by
y= mx + b
y = 3/4 x -2
Hello I was given this question earlier but didn’t understand thought it would be good to reach out for some help
Profit = Revenue - Cost
Revenue = Q * P
P = 100 - Q/20
C = 0.12Q + 10
Using substitution, we can say that:
[tex]\begin{gathered} \text{Profit = Revenue - Cost} \\ \text{Profit = }(Q\times P)-(0.12Q+10) \\ \text{Profit }=Q(100-\frac{Q}{20})-(0.12Q+10) \end{gathered}[/tex]Both equations used in the region of profit are linear equations because the exponent or degree used is only 1. Therefore, the region of profit is contained within two linear equations. (Option E)
How is 9.746 x 10 ^13 written in standard form?
0000000000009746
97,460,000,000,000
9.746000000000000
9,746,000,000,000,000
in a survey of 350 dog owners, it was found that 98 bought Pedigree Chum dog food what percentage of the marker prefer Pedigree Chum
If 98 out of 350 dog owners bought Pedigree Chum dog food so 28 percentage of the makers that prefer Pedigree Chum.
As per the question statement, In a survey of 350 dog owners and it was found that 98 bought Pedigree Chum dog food. We are supposed to find the percentage of the makers that prefer Pedigree Chum.
Given that, 98 out of 350 dog owners bought Pedigree Chum dog food
So the percentage can be calculated by the formula,
(98/350)*100 = 0.28*100 = 28%
Hence, 28% of the makers that prefer Pedigree Chum.
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Solve for x in the triangle. Round your answer to the nearest tenth.
20
X
52°
X =
f(x) = (cos(x))/(sqrtx)
Find the derivative
Derivative of [tex]f(x)= (\frac{cosx}{\sqrt{x} })=\frac{-2xsin(x)- cos(x)}{2x\sqrt{x} }[/tex]
How to calculate the derivative?
[tex]f(x) = \frac{cosx}{\sqrt{x} }[/tex]
The derivative is given by,
[tex]= > \frac{d}{dx} (\frac{cosx}{\sqrt{x} })[/tex]
Applying Quotient rule :
[tex](\frac{f}{g} )^{'} = \frac{f^{'}.g - g^{'}.f}{g^{2} } \\[/tex]
[tex]\frac{d}{dx} (\frac{cosx}{\sqrt{x} })=\frac{\frac{d}{dx}(cosx)\sqrt{x} - \frac{d}{dx} \sqrt{x}(cosx)}{(\sqrt{x} )^{2} } \\[/tex]
Considering derivatives in the numerator,
[tex]\frac{d}{dx} (cosx)= - sinx\\\\\frac{d}{dx} (\sqrt{x} )=\frac{1}{2\sqrt{x} }[/tex]
Now,
[tex]\frac{d}{dx} (\frac{cosx}{\sqrt{x} })=\frac{(-sinx)\sqrt{x} - \frac{1}{2\sqrt{x} } (cosx)}{(\sqrt{x} )^{2} } \\\\\text{ Taking LCM }\\\\=\frac{-2xsin(x)- cos(x)}{2x\sqrt{x} }[/tex]
What is a derivative?
The derivative of a function assesses the sensitivity of the function's output value to a change in its argument. A key component of calculus is the derivative. The velocity of an object is the derivative of the position of a moving object with respect to time.When it occurs, the slope of the tangent line to the function's graph at a given input value is the derivative of a function of a single variable.To learn more about derivatives, refer:
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Write the equation in vertex form for the
parabola with vertex (-1, 3) and that
passes through the point (2, -5).
Answer: The general equation of a parabola with vertex (h,k) is y=a(x−h)2+k y = a ( x - h ) 2 + k . In this case we have (1,3) as the vertex (h,k) and (2,6) is a point (x,y) on the parabola. To find a , substitute the two points in y=a(x−h)2+k y = a ( x - h ) 2 + k .
how do you solve quadratic using square roots?ex: (p-4)²=49
Apply square root to both sides of the equation:
[tex]\sqrt[]{(p-4)^2}=\sqrt[]{49}[/tex][tex]p-4=7[/tex]Add 4 to both sides of the question:
[tex]p-4+4=7+4[/tex][tex]p=11[/tex]HELP ASAP! brainliest for the best answer.
Answer:
[tex]\textsf{C.} \quad r=\dfrac{27-P}{3P}[/tex]
Step-by-step explanation:
Given formula:
[tex]A=P(1+rt)[/tex]
Given values:
A = 27t = 3Substitute the given values into the given formula and solve for r:
[tex]\begin{aligned}A&=P(1+rt)\\\\\implies 27&=P(1+3r)\\\\\dfrac{27}{P}&=\dfrac{P(1+3r)}{P}\\\\\dfrac{27}{P}&=1+3r\\\\\dfrac{27}{P}-1&=1+3r-1\\\\\dfrac{27}{P}-1&=3r\\\\3r&=\dfrac{27}{P}-\dfrac{P}{P}\\\\3r&=\dfrac{27-P}{P}\\\\\dfrac{3r}{3}&=\dfrac{\dfrac{27-P}{P}}{3}\\\\r&=\dfrac{27-P}{3P}\end{aligned}[/tex]
Solution
[tex]\boxed{r=\dfrac{27-P}{3P}}[/tex]
please help me figure this out
Answer:
x = 17
Step-by-step explanation:
Given angles are vertical angles and they have equal measurements.
We can write the following equation to find the value of x based on this information:
8x - 27 = 6x + 7 transfer like terms to the same side of the equation
8x - 6x = 27 + 7 add/subtract
2x = 34 divide both by 2
x = 17
Find the probability, in simplest form of picking the letter R in the wore LIBRARY
Step 1: Write out the formula for Probability
[tex]\text{Probability}=\frac{Number\text{ of events}}{\text{Total number of events}}[/tex]Step 2: Writing out the data
The number of times R occur in the word LIBRARY is 2.
The total number of alphabets in the word LIBRARY is 7.
Therefore, number of events= 2
Total number of events= 7
[tex]\text{Probability of picking R=}\frac{2}{7}[/tex]f(x) = 2x - 3
g(x) = 3x - 1
Find (f g)(x).
6x² + 3
6x³-11x² + 3x
6x² - 11x +3
6x² - 7x +3
Answer:
6x^2 - 11x + 3
Step-by-step explanation:
(fg)(x) is just multiplying f(x) and g(x)
This gives: (2x-3)(3x-1) = 6x^2 - 2x -9x - (3*(-1)) = 6x^2 -11x + 3
Brian deposited $2,419 into a savings account for which interest is compoundedquarterly at a rate of 2.54%. How much interest will he earn after 7 years? Roundanswer to the hundredths place. If answer does not have a hundredths place theninclude zeros so it does. Do not include units in the answer.
Given
Principal = $2419
rate = 2.54%
time = 7 years
compounds quarterly
[tex]\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ A=2419(1+\frac{0.0254}{4})^{4(7)} \\ A=2419(1.00635)^{28} \\ A=2888.08 \end{gathered}[/tex]After 7 years, the amount deposit is now $2888.08, subtract by the principal amount to get the interest.
[tex]\begin{gathered} I=A-P \\ I=2888.08-2419 \\ I=469.08 \end{gathered}[/tex]Therefore, the interest that he will earn after 7 years us $469.08.
Write the equation in factored form then stayed the X intercepts
Step 1
Given;
[tex]y=x^2+x-20[/tex]Required; To write the equation in factored form
Step 2
Find the two factors that when added gives you x and when multiplied gives -20x²
[tex]\begin{gathered} \text{The factors are 5x and -4x} \\ \end{gathered}[/tex][tex]\begin{gathered} R\text{eplace x with 5x-4x} \\ x^2+5x-4x-20 \\ \text{Factorize the expression} \\ x(x+5)-4(x+5)_{} \\ y=(x-4)(x+5) \end{gathered}[/tex]Step 3
State the x-intercept
[tex]\begin{gathered} (x-4)(x+5)=0 \\ x-4=0 \\ or \\ x+5=0 \\ x=4 \\ or \\ x=-5 \end{gathered}[/tex]Hence, the x-intercepts are;
x=4
x=-5
A perfect score on a test with 25 questions is 100. Each question is worth 4 points. Fred got a score of 68 on the test to write a division sentence using negative numbers where the quotient represents the number of questions Fred answered incorrectly
The total number of questions that Fred answered incorrectly is 8.
How to express the information?From the information given, a perfect score on a test with 25 questions is 100 and each question is worth 4 points while Fred got a score of 68 on the test.
Therefore, let the number of questions that are got be x.
Based on the information given, this will be:
4 × x = 68
4x = 68
Divide
x = 68 / 4 = 17
The number of questions that he missed will be:
= Total questions - Correct answers.
= 25 - 17.
= 8
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A figure is rotated 270 degrees counterclockwise about the origin. Then the image is rotated 90 degrees counterclockwise about the origin. Complete the coordinate notation that represents the series of rotations. What can you conclude about the position of the figure after the series of rotations?
If you don't mind, I need the answer ASAP
The series of rotations are : (x, y) -----> (y, -x) → (y, -x) ----> (x, y).
The total rotation is 360 degrees. So the figure is the original figure itself.
First a figure is rotated 270 degrees counterclockwise about the origin.
A 270 degree counterclockwise rotation is given by the co-ordinate transformation, (x, y) -----> (y, -x)
Then the figure is again rotated 90 degrees counterclockwise about the origin. A 90 degree counterclockwise rotation is given by, (x, y) -----> (-y, x)
So combining with the above transformation, the 90 degree counterclockwise rotation gives, (y, -x) ----> (x, y).
Thus the total rotation transformation is in turn, (x, y) ----> (x, y).
Thus the total rotation in counterclockwise direction about the origin is 360 degrees. So the final figure is the original figure itself.
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What number is 40% of 120?
Answer: 48
Step-by-step explanation:
Convert 40% to a decimal = 0.4
Multiply 0.4 x 120 = 48
Answer:
48
Step-by-step explanation:
40\100×120
=48
( fourth divided by one hundred multiplied by one hundred and twenty is equal to 48)
2022 + 2022 = .......
Pliss help me im now is Elementary school
Answer:
4044
Step-by-step explanation:
2000+2000= 4000
22+22= 44
4000+44= 4044
12
Find the horizontal asymptote of f of x equals quantity negative 2 x squared plus 3x plus 5 end quantity over quantity x squared plus 1. (5 points)
y = −2
y = −1
y = 1
y = 2
The horizontal asymptote is y = -2
The horizontal asymptote is an equation of the form y = k, for some constant k, is a straight line parallel to x-axis.
Horizontal asymptotes are found for rational functions of polynomials when x becomes extremely large, or, as x → ∞.
The function given is, f(x) = (-2x²+3x+5)/(x²+1)
Horizontal asymptote is given by,
y = [tex]\lim_{x \to \infty} \frac{-2x^2+3x+5}{x^2+1}[/tex]
= [tex]\lim_{x \to \infty} \frac{x^2(-2+\frac{3}{x} +\frac{5}{x^2}) }{x^2(1+\frac{1}{x^2}) }[/tex]
= [tex]\lim_{x \to \infty} \frac{(-2+\frac{3}{x} +\frac{5}{x^2}) }{(1+\frac{1}{x^2}) }[/tex]
= -2
So the horizontal asymptote of f(x) is, y = -2
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Answer:
A) y = -2
Step-by-step explanation:
The rules to find the horizontal asymptote (HA) is shown below
Y = A if the numerator and denominator have same highest exponent for example
A^3
B^3
Y = 0 if the numerator have lower exponent and denominator have higher exponent for example
A^1
B^2
None HA if the numerator have higher exponent and denominator have lower exponent for example
A^2
B^1
And the equation shown in the question have same exponent so the answer is -2
PS: please give me brainiest
ap calculus question, steps and explain please.
[tex]\lim_{x \to \\pi } \frac{cosx + sin(2x)+1} {x^2 -\pi^2}[/tex] of the Correct option is (B) i.e., 1/[tex]\pi[/tex]
Given:
[tex]\lim_{x \to \\pi } \frac{cosx + sin(2x)+1} {x^2 -\pi^2}[/tex]
To solve the above function:
Now, According to the question:
[tex]\lim_{x \to \\pi } \frac{cosx + sin(2x)+1} {x^2 -\pi^2}[/tex]
Differentiate with respect to x above function:
[tex]\lim_{x \to \\pi } \frac{-sinx + 2cosx} {2x}[/tex]
Substitute the value of limit in x tends [tex]\pi[/tex], it means x = [tex]\pi[/tex]
= [tex]\frac{2cos\pi - sin\pi }{2\pi }[/tex]
= 2/ [tex]2\pi[/tex]
= 1/[tex]\pi[/tex]
Hence, The Correct option is (B) i.e., 1/[tex]\pi[/tex]
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