Answer: The correct answer is option C; 90√2
Step-by-step explanation: The line segments are labelled as base 1, base 2 and base 3 respectively. This we shall call point 1, point 2 and point 3. These three points form a right angle. Also we have been told that Marcus is on point 3 and Jean is on point 2. They are both 90 feet apart. Also Joel is on point 1 and he is 90 feet away from Jean. The unmeasured distance therefore is from point 1 to point 3, which is the distance from Joel to Marcus (or Marcus to Joel).
The distance from point 1 to point 3 is the hypotenuse of the right angled triangle derived. Using the Pythagoras' theorem, the distance from Joel to Marcus (or JM) is calculated as follows;
JM² = JC² + JL²
Where JM is the distance between Joel and Marcus (hypotenuse), JC is the distance from Jean to Marcus and JL is the distance from Jean to Joel.
JM² = 90² + 90²
JM² = 8100 + 8100
JM² = 16200
Add the square root sign to both sides of the equation
√JM = √16200
JM = √100*√81*√2
The right hand side of the equation can be further solved as
JM = 10*9*√2
JM = 90√2
Therefore the distance between Marcus and Joel is calculated as 90√2 feet
Does the function f(x) = x^3-4x^2+2x-6/x-3 have a slant asymptote? If so, find an equation of the slant asymptote. If not, explain
Answer:
No slant asymptote.
Step-by-step explanation:
No it hasn't .
If we do the division we find the quotient is a trinomial in x^2 so not a straight line, so there is no slant asymptote.
The one asymptote is the vertical line x = 3, because when x = 3 the denominator becomes 0.
Final answer:
To find the slant asymptote for the given function f(x), perform long division of the numerator by the denominator. The result is a quadratic function, which is the equation of the slant asymptote, specifically y = x^2 - x - 3.
Explanation:
The function f(x) = (x^3 - 4x^2 + 2x - 6)/(x - 3) does indeed have a slant asymptote, since the degree of the numerator is exactly one more than the degree of the denominator. To find the equation of the slant asymptote, you may perform polynomial long division or synthetic division. You would divide x^3 - 4x^2 + 2x - 6 by x - 3 to obtain the quotient which will be the equation of the slant asymptote.
When you do that, you'll find that the quotient is x^2 - x - 3. Since there's no remainder, or the remainder is of lesser degree than the denominator, the function approaches the line y = x^2 - x - 3 as x approaches infinity or negative infinity. This quadratic function is the slant asymptote for f(x).
What are the leading coefficient, constant term and degree, if any, of the algebraic expression 7^x + 2x + 1?
a.
leading coefficient: 2; constant term: -1; degree: 2
c.
leading coefficient: 2; constant term: 1; degree: -2
b.
leading coefficient: -2; constant term: 1; degree: 2
d.
none, expression is not a polynomial
Please select the best answer from the choices provided
A
B
C
D
Answer:
d. none, expression is not a polynomial
Step-by-step explanation:
right on edg. :)
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Surface area of Square and Triangular Pyramids
Due 05/08/20 11:59pm
Use the figure to answer exercises 6-7.
12 ft
7 ft
6. Dennis drew a square pyramid and its net to represent a fort. Complete the net by filling in the
missing measure. Choose the correct answer below.
A
C.
D.
a
75ft
12ft
3.56
Cck to select your answers)
Rew
progress
& Back
Next
Answer:
B
Step-by-step explanation:
PLEASE HELP WITH 7TH GRADEE MATH!!!!
Answer:
D
Step-by-step explanation:
On the graph, the first action you see is a straight line going up. The key word you look for in the word explanations are "increase" and "constant rate". Then, the 2nd action you see is a straight line not going up or down, just staying on the same level. This could be called "remaining the same" or stopping/resting. Then, you see a straight line going down. You look for "decrease" at a "constant rate." D matches all of those.
which of these is the best estimate of the volume of this cereal box?
Answer:
234 cubic inches
Step-by-step explanation:
12.9 will round to 13
9.2 will round to 9
2.2 will round to 2
the equation for volume is [tex]V=whl[/tex] which mean you will multiply all three of the numbers to get 234 cubic inches
i hope i could help :)
John’s age in 5 years time will be the same as Jack’s age is now. In two years, Jack will be twice as old as John. How old are they now?
Answer:
john 2 1/2 years old jack is 7
in 5 years he will be 7 like jack is now
in two years jack is 9 and john is 4.5
Step-by-step explanation:
You could also say john is 3 and jack 8 in 5 years he is 8 like jack
and in 2 years he is 5 and jack is 10 which is twice the age.
it doesn't work for other ages.
What mathematical operation is used with translations?
Answer in complete sentence.
Can someone help me please?
Answer:
l
Step-by-step explanation:ll
I'm confused. Can someone help?
a.
The polynomial w^2+18w+84 cannot be factored
The perfect square trinomial is w^2+18w + 81
----------
The reason the original can't be factored is that solving w^2+18w+84=0 leads to no real solutions. Use the quadratic formula to see this. The graph of y = x^2+18x+84 shows there are no x intercepts. A solution and an x intercept are basically the same. The x intercept visually represents the solution.
w^2+18w+81 factors to (w+9)^2 which is the same as (w+9)(w+9). We can note that w^2+18w+81 is in the form a^2+2ab+b^2 with a = w and b = 9
================================================
b.
The polynomial y^2-10y+23 cannot be factored
The perfect square trinomial is y^2-10y + 25
---------
Using the quadratic formula, y^2-10y+23 = 0 has no rational solutions. The two irrational solutions mean that we can't factor over the rationals. Put another way, there are no two whole numbers such that they multiply to 23 and add to -10 at the same time.
If we want to complete the square for y^2-10y, we take half of the -10 to get -5, then square this to get 25. Therefore, y^2-10y+25 is a perfect square and it factors to (y-5)^2 or (y-5)(y-5)
Lisa surveyed 50 randomly selected students to find out if they thought their school should start a recycling program of the 50 students
surveyed, 42 answered "yes."
If all 375 students in the school were asked the same question, approximately how many students are likely to answer "yes"?
A. 158
B. 283
C. 315
D. 333
E. 367
315 students would answer "yes". If 42 out of 50 students answered yes, that'd be 84% (you can determine this by dividing 42/50). Once you've determined that part, you can multiply 375 by 0.84 (converting a percentage to a decimal), which would give you 315.
Please mark brainliest if this helped in any way, thank you! Have a great day! :)
Out of 50 surveyed students, 84% answered 'yes' to the question about starting a recycling program. Applying this percentage to the whole school of 375 students, we estimate that about 315 would say 'yes'. So, the correct choice is C. 315.
Explanation:To answer this question, we first need to find out what fraction of students surveyed answered 'yes'. In this case, it's 42 out of 50 students, or 84%. If we apply this percentage to the entire school population, we can estimate how many of the 375 students would likely answer 'yes'.
To do this, you multiply the total number of students (375) by the percentage that answered 'yes' (.84 or 84%) which would give us 315.
So, out of 375 students, we can estimate that approximately 315 would answer 'yes' to the question about starting a recycling program. Hence, the correct answer is C. 315.
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Write the expression for when you translate the graph of y =|3x| − 5 one unit to the right.
Answer:
The answer is |3x-3|-5
I have RSM too it’s irritating
Answer:
y=|3x-3|-5
Step-by-step explanation:
y=|3x-3|-5
What is the value of x? A) 10 B) 12 C) 15 D) 17
Answer:
c) 15
Step-by-step explanation:
I need help plzz help me will give brainliest!!!
Answer:
-5/6* -3/1 = A and D
Step-by-step explanation:
When you divide fractions, it's the same as multiplying a fraction and the second fractions reciprocal together.
So:
-5/6 divided by -1/3=
-5/6* -3
Which is congruent to 5/6 divided by 1/3
Answer:
A. [tex] ( - \frac{5}{6} ).( - 3) [/tex]
D. [tex] ( \frac{5}{6} ) \div (\frac{1}{3}) [/tex]
Step-by-step explanation:
[tex] = > \frac{ - \frac{5}{6} }{ - \frac{1}{3} } \\ \\ = > ( - \frac{5}{6} ) \div ( - \frac{1}{3} ) \\ \\ = > ( - \frac{5}{6} ) \times ( - 3) \\ \\ = > ( - \frac{5}{6} ).( - 3)\\AND \\ = > ( \frac{5}{6} ) \div (\frac{1}{3}) [/tex]
The ratio in Mrs. Jones class was 10 boys to 13 girls. If the school has 700 students, how many boys attend the school?
Answer:
304
Step-by-step explanation:
total students of Mr. Jones' class = 10 + 13 = 23
boys who attend the school = (700 / 23) x 10 = approximately 304 boys
The current dimensions of Mr. Meyer's garden
are shown in the model.
Mr. Meyer plans to increase the width of his
garden by 25%. Which equation can be used to
determine how many feet Mr. Meyer will add to
the width of his garden?
Answer:
I believe it would be J
Step-by-step explanation:
compare 6.2054 to 5.3115
Answer: 6.2054 > 5.3115
Compare 6 and 5
6 > 5
Therefore 6.2054 > 5.3115
Answer:
[tex]6.2054 > 5.3115[/tex]
Step-by-step explanation:
[tex]6.2054 > 5.3115[/tex]
it's easy, first compare Number 6 and 5
[tex]6 > 5[/tex]
What is the perimeter of the polygon?
12 cm
4 cm
5 cm
5 cm
6 cm
Answer:
32 cm
Step-by-step explanation:
Add 12+5+5+4+6 to get the perimeter.
A flexible wire is bent into a semicircular arc. The length of AB is 18 meters. Find the length of the wire. Use 3.14 as an approximation for π .
Answer: 28.26 meters
Step-by-step explanation:
Hi, to answer this question we have to find the perimeter of the semicircle.
P = (2 π r ) /2 (perimeter of a circle divided by 2)
The length of AB is the diameter of the circle (18 meters)
Since
Diameter (d) = 2 radius (r)
Replacing with the value given:
18 =2r
18/2=r
9 =r
Back on the perimeter formula
P = (2 π r ) /2
Replacing with the values given
P = (2 x 3.14 x 9) /2
P = 28.26 meters
Answer:
he's right it is 28.26
Step-by-step explanation:
What is the best advice to prevent identity theft?
Preventing identity theft involves securing personal items like credit cards and wallets, using strong passwords, monitoring credit history, and being cautious when sharing personal information, especially during job searches or online interactions.
Explanation:Best Practices to Prevent Identity Theft
Identity theft, or 'True-name Fraud,' is a significant threat where criminals use stolen personal information to commit fraud. Protecting oneself from identity theft involves a number of crucial steps:
Always safeguard your credit and debit cards from unauthorized access.Secure your mailbox to prevent theft of mail which may contain sensitive information.Keep a vigilant eye on your wallet, which holds many personal identifiers and cards.Create strong passwords and PINs that defy easy guesses, incorporating a mix of letters, numbers, and symbols.Install reputable anti-virus software on your computer to guard against malware.Inform your bank promptly when you change your address or phone number to avoid misdirected sensitive communication.Be reticent in sharing personal information; always inquire why it's necessary and how it will be protected.Monitor your credit history regularly for any sign of unusual activity.Be conscientious when job searching - only disclose personal information to legitimate companies and be wary of too-good-to-be-true job offers.In the diagram above, O is the centre of circle, PAQis the tangent to the circle at A, AD is parallel to OC and ∠PAD = 28°. Find,
(i) ∠ABC
(ii) ∠OAC
(iii) ∠OCD
The answer is attached.
Complete the following statement.
-0.3 is graphed to the______ of 0.
Right
Left
Answer:
left
Step-by-step explanation:
because -0.3 is a negative number, it will be on the left side of the x axis.
I need the answer to this question
Answer:
A B D E F G
Step-by-step explanation:
Integer is a whole number (not a fraction)
Answer:
A, B, D, E, F, G
Step-by-step explanation:
An integer can only be a WHOLE number. C and H are decimals [NOT WHOLE NUMBERS] so they wouldn't satisfy the requirements.
Write an equation of the line that passes through (3,1) and (0,10).
Answer:
y=-3x+10
Step-by-step explanation:
15f) Determine the line of symmetry. y = x2+16x+64
The equation of the line of symmetry of the parabola y = x² + 16x + 64 will be x + 8 = 0.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient. Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation of the parabola is given below.
y = x² + 16x + 64
Convert the standard equation into a vertex form. Then we have
y = x² + 16x + 64
y = (x + 8)²
We know that the line of symmetry passes through the vertex of the parabola. Then the equation of the line of symmetry is given as,
x + 8 = 0
The equation of the line of symmetry of the parabola y = x² + 16x + 64 will be x + 8 = 0.
More about the equation of the parabola link is given below.
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Can someone help me with this question I retake this picture
Answer:
1. 5*10=50
2. Draw an array that's 4 by 5, 2 by 10, or 1 by 20
Step-by-step explanation:
For the first problem, since there are 5 rows and 10 columns, the expression is 5*10. This is equal to 50. For the second problem, the array could either be an array with 2 rows and 10 columns, 4 rows and 5 columns, 1 row and 20 columns, or vice versa. Hope this helps!
What is the domain of the function on the graph?
all real numbers
all real numbers greater than or equal to-2
all real numbers greater than or equal to -5
o all real numbers greater than or equal to 0
The domain of a function is the set of input values where function defines thus the domain will be all real numbers so option (A) is correct.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
As per the given graph,
The function is continuous at every interval of x so the domain will be negative infinity to positive infinite or all real numbers.
Hence "The domain of a function is the set of input values where function defines thus the domain will be all real numbers".
For more details about the range and domain of the function,
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What is the volume of the rectangular prism? A prism has a length of 5 centimeters, height of 8 and one-half centimeters, and width of 3 and three-fourths centimeters. 17 and one-fourth cm3 18 and three-fourths cm3 27 and one-fourth cm3 159 and StartFraction 3 Over 8 EndFraction cm3
Answer:
Option D: 159 3/8 cm^3
Step-by-step explanation:
1. Let us rewrite the dimensions, and the options to make this a little more clear ~ (dimensions) 5 cm, 8 1/2 cm, 3 3/4 cm ⇒ (options) 17 1/4 cm^3, 18 3/4 cm^3, 27 1/4 cm^3, and 159 3/8 cm^3
2. To find the volume of most 3-dimensional figures, you would have to multiply the Base * height, so for a rectagular prism ⇒ Base * height = length * width * height
3. Substitute and compute the volume through algebra:
5 cm * 8 1/2 cm * 3 3/4 cm =
5 cm * 17/2 cm * 15/4 cm =
85/2 cm^2 * 15/4 cm =
1275/8 cm^3 =
159 3/8 cm^3
4. This means that the Volume of the Rectangular Prism = 159 3/8 cm^3 (Option D)
The volume of the rectangular prism is 159/8 cm³.
What is volume?The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
To find the volume of a rectangular prism, we multiply the length, width, and height.
The length of the prism is 5 cm, the height is 8 and one-half cm (or 17/2 cm), and the width is 3 and three-fourths cm (or 15/4 cm).
So, the volume is:
V = l × w × h
V = 5 cm × 15/4 cm × 17/2 cm
V = 159/8 cm³
Therefore, the volume of the rectangular prism is 159/8 cm³.
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The equation of a function is represented by f(x)=(x + 4) ( x - 3). Terri stated that the roots are 4 and -3. Is Terri right or wrong? Explain your answer
Answer:
Terri is wrong the roots are -4 and 3. She mixed up the numbers
Step-by-step explanation:
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What is the measure of Angle X W Y?
A. 16 degrees
B. 74 degrees
C. 106 degrees
D. 116 degrees
Answer:
The answer is 106
Step-by-step explanation:
for every triangle's measurement adds up to 180 degrees so if you take 74 degrees and subtract it with 180 you would get 106 degrees.
HOPE THIS HELPS
The measure of angle of triangle XWY is 106°.
What is triangle?A triangle is "closed, 3-dimensional shape with 3 - sides, 3 - edges and 3- angles".
According to the question,
The triangle has an angle is 74°.
Sum of angle of triangle is 180°
Measure of an angle XWY = 180 -74
=106°.
Hence, the measure of angle of triangle XWY is 106°.
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James earned a total of 18$ by selling 9 cups of lemonade.How many cups of lemonade does james need to sell in all to earn $26
Choices:
15
13
12
14
Answer:
The correct answer is 13
Step-by-step explanation: