Final answer:
The horizontal asymptote of the function g(x) = e^x + 4 is the line y = 4.
Explanation:
The question asks about the asymptote of the function g(x) = e^x + 4. An asymptote is a line that a graph approaches but never touches. To find the horizontal asymptote of this function, observe that as x approaches positive or negative infinity, the term e^x either grows very large or approaches zero. Therefore, the term +4 determines the horizontal asymptote since it shifts the entire graph of e^x up by 4 units. Thus, the horizontal asymptote is the line y = 4, which means the function approaches this line but never reaches it for x tending toward positive or negative infinity.
The pyramid shown below has a square base, a height of 7, and a volume of 84. what is the length of the side of the base?
The length of the side of the base is 6 units.
What is the volume of the pyramid?The volume of the pyramid is;
[tex]\rm Volume \ of \ pyramid=\dfrac{1}{3}\times height \times Base[/tex]
The pyramid shown below has a square base, a height of 7, and a volume of 84.
Substitute all the values in the formula
[tex]\rm Volume \ of \ pyramid=\dfrac{1}{3}\times height \times Base\\\\\rm84 =\dfrac{1}{3}\times height \times 7\\\\Height = \dfrac{84\times 3}{7}\\\\ Height = \dfrac{252}{7}\\\\Height =36[/tex]
The length of the side of the base is;
[tex]\rm Side\ length^2=height\\\\ Side\ length^2=36\\\\Side\ length^2=6^2\\\\Side\ length=6[/tex]
Hence, the length of the side of the base is 6 units.
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Suppose you want to build a rectangular sandbox where the width is 5 feet less than the length and the diagonal is 5 feet longer than the length. what are the dimensions of the sandbox?
angle 0 is in quadrant 1 with sin0 = 2/5. Use the Pythagorean identity, sin^2 0 + cos^2 0 = 1, to calculate the value of cos0 as a radical.
Assuming the cost of cement blocks is $75 per 1,000, how much will it cost for the blocks to build a wall 7ft. tall by 20 ft. long if the block is 6 inches thick and 10 blocks are needed for 1 cubic foot.
Find the quotient. Write your answer USING A DECIMAL and ROUNF TO THE NEAREST HUNDREDTH.
8,426÷82
The domain of this graph is {x | x≥−2}.
True.
False.
One of the angles of a parallelogram is equal to 40°. Find the rest of the angles.
The angles of parallelogram are 40°, 140°, 40°, 140°.
What is parallelogram?
A parallelogram is a type of quadrilateral. It is a two-dimensional figure with four sides. The most important properties of a parallelogram are that the opposite sides are parallel and congruent and the opposite angles are also equal.
For the given situation,
One angle of parallelogram = 40°
Let the unknown angle be 'x'
The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees.
⇒ [tex]40+x=180[/tex]
⇒ [tex]x=140[/tex]
The opposite interior angles are equal.
Hence we can conclude that the angles of parallelogram are 40°, 140°, 40°, 140°.
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A sum of money is divided among peter paul and jane in ratio 13:12:7 calculate how much paul gets if amount peter gets more than jane is 78$
How do you find the inverse of y=2x-3
Subtract 3 from each side
y - 3 = 2x
Divide through by 2
y/2 - 3/2 = x
or x = y/2 - 3/2
Now simply switch labels: x↔y
y = x/2 - 3/2
What is the surface area of the cylinder in terms of pi? The diagram is not drawn to scale.
The solution is, 308π in² is the surface area of the cylinder in terms of pi.
What is surface area?Surface area is the amount of space covering the outside of a three-dimensional shape. The surface area of a solid object is a measure of the total area that the surface of the object occupies.
here, we have,
from the given diagram , we get,
the cylinder has,
radius = r = 7
height = h = 15
we know that,
Surface Area = 2πr² + 2πrh
so, we get,
r = 7
h = 15
substituting the values, we get,
Surface Area
= 2π(7)² + 2π(7)(15)
= 308π in²²
Answer: 308π in²
Hence, The solution is, 308π in² is the surface area of the cylinder in terms of pi.
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What would “x” be ?
Thanks you
Step-by-step explanation:
[tex]cos \: x = \frac{a}{h} \\ cos \: x = \frac{16}{21} = 0.76 \\ cos \: x = 40.36degrees[/tex]
WILL MARK BRAINLIEST!!
Given: x - 5 > -10.
Choose the solution set.
{x | x R, x < -15}
{x | x R, x > -5}
{x | x R, x < 5}
{x | x R, x > 15}
Answer:
{x | x R, x > −5}
Step-by-step explanation:
x - 5 > -10
+ 5 + 5
__________
x > −5
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classify 4x^5+2x^4-5x^3+12 by number of terms
The polynomial 4x⁵ + 2x⁴ - 5x³ + 13 has a degree of five and a quadrinomial (four terms).
What is a polynomial?Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Polynomials can be classified based on degree as linear, quadratic, cubic and so on. Polynomials can also be classified based on number of terms.
The polynomial 4x⁵ + 2x⁴ - 5x³ + 13 has a degree of five and a quadrinomial (four terms).
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Suppose that in a large company, 30% of the computers are infected by adware. if 6 computers are randomly selected and tested, what is the probability that 2 of the computers are infected by adware?
What is the value of x?
132√ cm
526√3 cm
262√ cm
263√ cm
[tex]\huge \boxed{\sf 26\sqrt{2}\ cm } \\\\\\\sf Using\ trigonometric\ functions \\\\\displaystyle cos \theta = \frac{adj}{hyp} \\\\cos(60)=\frac{adj}{52} \\\\adj=cos(60) \times 52=26 \\\\Using\ the\ Pythagorean\ theorem \\\\x=\sqrt{26^2+26^2} =26\sqrt{2}[/tex]
You bought 2 pairs of pants at $28.99 each, and one shirt at $21.34. If the tax rate is 5%, what is the total cost of your purchase?
Show how you got the answer
Question 3 options:
$79.32
$58.98
$69.32
$83.29
The total cost of purchase on 2 pants and 1 shirt is $76.986.
Given that, you bought 2 pairs of pants at $28.99 each, and one shirt at $21.34.
What is the sales tax?Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.
Now,
The cost of 2 pairs of pants
= 2 ×28.99
= $57.98
Total cost of two pants and a shirt
= 21.34+51.98
= $73.32
Tax =5% of 73.32
= 5/100 ×73.32
= 0.05 ×73.32
= $3.666
Total cost of purchase =73.32+3.666
= $76.986
Therefore, the total cost of purchase on 2 pants and 1 shirt is $76.986.
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Bruce has 97 sports cards. 34 of them are football cards. Which equation can be used to find the number of sports cards y that are not football cards
Answer: 34 + y = 97
Step-by-step explanation:
According to the question,
Total number of sport cards = 97
In which some are foot ball cards and some are non football cards.
Let y be the number of sports cards.
Given, 34 cards are football cards.
Therefore, total number of cards = 34 + y
⇒ 34 + y = 97
Which is the equation that will use to find the number of non football cards.
To find the number of sports cards that are not football cards, you subtract the number of football cards from the total number of sports cards. The equation is y = 97 - 34.
To determine the number of sports cards that are not football cards, you need to subtract the number of football cards from the total number of sports cards.
Step-by-Step Explanation:
The total number of sports cards is 97.
The number of football cards is 34.
The number of sports cards that are not football cards can be found by subtracting the number of football cards from the total number of sports cards: y = 97 - 34.
Therefore, the equation y = 97 - 34 can be used to find the number of sports cards that are not football cards.
true, false, or open. Explain. 45/x-14=22
Bryant collects a set of 20 data representing the lengths of worms he found in the garden. The variance of the set of measurements is 36. What is the standard deviation from the mean? millimeters
Answer:
6 millimeters
Explanation:
The standard deviation is the square root of the variance.
Since the variance is 36, the standard deviation would be
√36 = 6
Answer:6
Step-by-step explanation:
neil tried to simplify an expression step by step 5^-6/5^-4
The simplified form of the given expression is 1/25.
The given expression is [tex]\frac{5^{-6} }{5^{-4} }[/tex].
We need to simplify the given expression.
What are exponents and how do solve exponents questions?The exponent of a number shows how many times the number is multiplied by itself. The properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered major exponents rules to be followed while solving exponents.
Using quotient law [tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex].
Now, [tex]\frac{5^{-6} }{5^{-4} }[/tex] can be written as [tex]\frac{5^{4} }{5^{6} }[/tex]
By using the quotient rule, we get [tex]\frac{5^{4} }{5^{6} }=5^{4-6}[/tex]
[tex]=5^{-2}=\frac{1}{5^{2}}[/tex]
=1/5×5=1/25
Therefore, the simplified form of the given expression is 1/25.
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i’m sure this is easy but i'm gonna ask anyway
HIGH AMOUNT OF POINTS! MATH QUESTION! IF YOU DON'T KNOW IT, DON'T ANSWER!
Katherine invested $140.she earned a simple interest of 4% per year on the initial investment. If no money was added or removed from the investment what was the amount of interst katherine received at the end of two years?
In spherical geometry, what is the term used for the shortest distance between two points?
Two similar cones have volumes of 8pi and 64pi find the ratios of the radio
Tracy solved the system of equations by making a substitution for x in the second equation.
What equation did she get as a result of that substitution?
x = –2y – 2
2x + 3y = –6
–2y – 2 = –6
–2y + 1 = –6
–4y – 2 + 3y = –6
–4y – 4 + 3y = –6
The area of a rectangular knitted blanket is 14 x^2 - 17 x -6. What are the possible dimensions of the blanket? Use factoring.
In the figure, what is the value of x?
Answer:x=90 °
Step-by-step explanation:
In any circle the exterior angle formed is half of the major arc - minor arc .
Angle formed by tangents or secants = [tex]\frac{1}{2}(Major arc - minor arc )[/tex]
The sum of measure of arcs inany circle is 360°.
Minor arc is given as x°.So Major arc = 360-x.
Substituting the given values in the formula :
[tex]x=\frac{1}{2}(360-x-x)[/tex]
[tex]x=\frac{1}{2}(360-2x)[/tex]
x=180-x
Adding x both sides we have:
2x=180.
Dividing both sides by 2.x= 90.
A TV has a listed price of $ 899.99 before tax. If the sales tax rate is 7.25 % , find the total cost of the TV with sales tax included.
Find the surface area of the equilateral triangular pyramid.
Answer:
i think the answer is C.
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