Answer:
A.x+4
Step-by-step explanation:
We are given that a rational function which has a vertical asymptote at x=-4.
We have to find the term which appears in factored form in the denominator of the function.
We know that
To find the vertical asymptote of a rational function we will substitute the
denominator equal to zero.
Then, solve for x.
The value of x obtained are called vertical asymptotes.
By definition of vertical asymptote
x=-4
x+4=0
x+4 will be appears in factored form in the denominator of the function.
Find the value of y. ANSWERS:A) 31.116 B) 25.196 C) 15.250 D) 51.410
Answer:
C) 15.250
Step-by-step explanation:
[tex]Hypotenuse = 28\\Adjacent = y\\\alpha = 57\\Using -SOHCAHTOA\\Cos \alpha = \frac{adj}{hyp} \\Cos 57 = \frac{y}{28} \\0.5446 = \frac{y}{28} \\y = 0.5446 \times 28\\y = 15.2488\\y = 15.25[/tex]
The Marauders fooseball team is improving with each game. The first game they
scored no points, but the second game they scored some goals. In their third game
they scored 8 more points than the second. Now in their last game they scored three
times as many points as their third. Altogether they scored 117 points!!! How many
points did they Marauders score in the third game?
Answer: 25 points
Step-by-step explanation:
From the question, we are told that the Marauders fooseball team is improving with each game and that in the first game theyscored no points, but the second game they scored some goals.
Let the number of points scored in the second game be y.
In their third game, they scored 8 more points than the second. This will be: y + 8.
Now in their last game, they scored three times as many points as their third. This will be:
= 3(y + 8)
= 3y + 24
Altogether they scored 117 points. This means that:
0 + y + y + 8 + 3y + 24 = 117
5y + 32 = 117
5y = 117 - 32
5y = 85
y = 85/5
y = 17
This means that in the second game, they scored 17 points.
Since we are told that in their third game they scored 8 more points than the second. This will be:
= 17 + 8
= 25 points
Help with this question(will gove brainlist and thanks)(determine area)
Answer:
The area of a triangle is base * height / 2. In this case that is:
3 * (2x - 4) / 2 = 3 * 2(x - 2) / 2 = 3 * (x - 2) = 3x - 6 in²
Answer:
3x-6 inches^2
Step-by-step explanation:
[tex]A =\frac{ (a \times b)}{2} \\A =\frac{(3(2x-4))}{2} \\A = \frac{(6x -12)}{2} \\\\Area = (3x-6)^2 inches[/tex]
* ANSWER PLS TY!! * Find the surface area of this cone.
Answer:
[tex]200 \: \pi[/tex]Step-by-step explanation:
Given,
R = 8 m
H = 15 m
Slant height :
[tex] = \sqrt{ {r}^{2} + {h}^{2} } [/tex]
[tex] = \sqrt{ {(8)}^{2} + {(15)}^{2} } [/tex]
[tex] = \sqrt{64 + 225} [/tex]
[tex] = \sqrt{289} [/tex]
[tex] = \sqrt{ {(17)}^{2} } [/tex]
[tex] = 17 \: m[/tex]
Now, Finding the surface area of the cone:
[tex]\pi \: r(r + s)[/tex]
Plugging the values:
[tex] = \pi \: \times 8(8 + 17)[/tex]
[tex] = 8\pi \: \times 25[/tex]
[tex] = 200 \: \pi[/tex]
Hope this helps...
Good luck on your assignment...
Describe the cross-section of the rectangular prism
rectangle
trapezoid
triangle
hexagon
Answer:
The cross-section of the rectangular prism is a:
rectangleStep-by-step explanation:
When you take a cross-section of a rectangular prism, regularly you will obtain a rectangle because this was the base or the two-dimension figure that was used to form the three-dimension figure, in this case, the rectangular prism, the form of obtaining other figure is using how reference the square face, in that case, the cross-section would be a square, this happens because the cross-section is bind with the reference face. Possibly you think the cross-section in the figure doesn´t appear a rectangle, this happens by the perspective because we are looking at the rectangular prism with an inclination of 45°, but if the inclination was 90°, you would see a blue rectangle.
Find the fifth term of the geometric sequence with first term 2 and second term 1/4.
Answer:
0.1875
Step-by-step explanation:
The geometric sequence is going down by 3/4 so just continue it on down
Hope this helps, though put some thought into it
When Helen jogs, every 20 minutes she checks the total distance she traversed. One day, the first time she checked, Helen had jogged a distance of 2.5 miles, the second time she checked, she had jogged a total distance of 4.8 miles, and the third and final time that she checked, Helen found out that she jogged a total distance of 6.8 miles. What is the difference between her average speeds, in miles per hour, during the first 20 minutes of jogging and the last 20 minutes of jogging?
A box contains five blue for red and three yellow marbles to marbles are randomly drawn and not please what is the probability of drawing a blue then a red marble
Triangle ABC is an isosceles triangle in which side AB = AC. What is the perimeter of triangle ABC? 5 + StartRoot 10 EndRoot units 10 + StartRoot 10 EndRoot units 10 StartRoot 10 EndRoot units 50 units
Answer:
Option (2)
Step-by-step explanation:
This question is incomplete; find the picture attached which makes this question complete.
Vertices of the given triangle are A(-2, -4), B(2, -1) and C(3, -4).
Length of AB = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
AB = [tex]\sqrt{(2+2)^2+(-1+4)^2}[/tex]
= [tex]\sqrt{16+9}[/tex]
= 5 units
Since AB = AC
AC = 5 units
Similarly, BC = [tex]\sqrt{(3-2)^2+(-4+1)^2}[/tex]
BC = [tex]\sqrt{10}[/tex] units
Therefore, perimeter of the given triangle = AB + AC + BC
= 5 + 5 + √10
= (10 + √10) units
Option (2) will be the answer.
Answer:
b
Step-by-step explanation:
WILL AWARD BRAINLIEST
Based on the diagram, which expresses all possible
lengths of segment AB?
AB = 25
27
27 < AB < 81
AB = 85
С
B
54
AB< 27 or AB > 81
Answer:
27 < AB < 81
Step-by-step explanation:
According to the triangle inequality theroem (A side of a triangle is less than the sum of the lengths of the other two sides and is greater than the positvie difference of them. In other words, for c>b>a) your answer should be:
27 < AB < 81
becuase, 54 - 27 = 27 and 54 + 27 = 81
Answer:
the answer is B
Step-by-step explanation:
Write a math express for each verbal expression.
1.) The sum of 12 and x
2.) The product of 25 and p
3.) 24 increased by twice a number z
4.) The quotient of a number x and 4
5.) 6 less than a number x
6.) One-half of n squared
Answer:
1.) The sum of 12 and x 12 + x or x + 12
2.) The product of 25 and p 25 × p or 25p
3.) 24 increased by twice a number z 24 + 2z or 2z + 24
4.) The quotient of a number x and 4 x ÷ 4 . or x/4
5.) 6 less than a number x x - 6
6.) One-half of n squared n² ÷ 2 or n²/2
Step-by-step explanation: In most cases, the first expression uses symbols that are commonly used in arithmetic or elementary math. As you advance into Algebra, the ÷ and × are rarely used in favor of / or fraction form like [tex]\frac{x}{4}[/tex] and [tex]\frac{x^{2} }{2}[/tex] for division. Parentheses replace × for multiplication, for example (25)(p)=25p to avoid confusion with x, commonly used as an unknown or variable.
Determine the measure of ∠C. answers: 1) 56° 2) 49.5° 3) 77.5° 4) 63.5°
Answer:
2) 49.5°
Step-by-step explanation:
From the above diagram, we are asked to calculate the measure of ∠C.
The formula to be used for this calculation is given as:
∠C = 1/2 (Far Arc - Near Arc)
∠BAD = 127° = Far Arc
∠EAF = 28° = Near Arc
The measure of ∠C = 1/2 (BAD - EAF)
= 1/2 ( 127° - 28°)
= 1/2 × 99°
measure of ∠C = 49.5°
Answer:
49.5
Step-by-step explanation:I took the test
Given: AB is parallel to CD,
Prove: trIangleABC cong triangleCDA
Please help, need to complete this work soon. All give in photo.
Answer:
1. Given
2. Alternate interior angles theorem
3. Reflexive property of congruence
4. Alternate interior angles theorem
5. ASA triangle congruence theorem
Step-by-step explanation:
True or false. Intersecting chords form a pair of congruent, vertical angles.
Answer:
True
Step-by-step explanation:
A chord of a circle is a straight line segment whose endpoints both lie on the circle.
Vertical Angles are the angles opposite each other when two lines cross.
Any intersecting segments (chords or not) form a pair of congruent, vertical angles.
write the inequality shown by the shaded region in the graph with the boundary line y=x-2
Answer:
y ≥ x - 2
Step-by-step explanation:
I'm pretty sure this will be the answer, a thanks a rating of a 5 star would be helpful :)
The inequality shown by the shaded region in the graph with the boundary line y = x-2 is y ≥ x - 2
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given is an inequality, with the boundary line y = x-2
A solid line, and the shaded part is above the line.
y ≥ x - 2
Hence, The inequality shown by the shaded region in the graph with the boundary line y = x-2 is y ≥ x - 2
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What is the length of AC?
3 ft
4 ft
9 ft
18 ft
I REALLY NEED HELP I WILL MARK BRAINIEST!!!
Why do you think we do not currently use the metric system here in the United States? Make sure to support your answer with information from the article:
Let's take a minute to think about measurements. To measure small lengths, we use feet and inches. Miles are used to measure long distances. If we need to measure liquids, cups and gallons are used. Need to know the temperature outside? Using degrees in Fahrenheit would be normal. The measurements we use are called imperial units. But did you know that there are only three countries who use imperial units? Unless you live in the United States, Liberia, or Myanmar, you use a different kind of measurement called the metric system. Think about that for a minute: everyone else in the world uses the metric system except for three countries.
However, scientists and mathematicians in the U.S. use metric measurements. In fact, they have been using the metric system for years. But if you are an ordinary American, you still use imperial units and measure your height in feet and inches, and your weight in pounds and ounces.
So if the rest of the world uses the metric system, why don't we? There are many reasons. Some people don't want to use a system they see as "foreign." Others, like people in the government, say that it would cost too much money to change everything over to the metric system. But did you know that we actually do use some metric units? Soda is sold in two-liter bottles, and liters are part of the metric system. Many people run in 5K races, and kilometers are part of the metric system. Also, a lot of our food nutrition labels are written in metric units. Don't you think this makes things a bit confusing? Why do we use metric units for a few things, but imperial units for everything else?
To fix this problem and use the same systems as the rest of the world, the U.S. has thought about changing to the metric system. In the 1970's and early 1980's, we actually came close to making the switch! Here's a little bit of history about the metric system:
In 1975, thanks to President Gerald Ford and Congress, the Metric Conversion Act was passed, which would have led to the metric system being the preferred system of weights and measures in the United States. This act created the United States Metric Board, which was abolished in 1982, by President Reagan.
Lo sentimos, por favor simplifica la pregunta.
No entiendo lo que estás diciendo, simplifica tu pregunta para que sea más plausible responder. Gracias y perdón.
A tangled web of sub-standard medieval weights and measurements was the British Imperial System, which was introduced to North America by the British Empire when it colonized the continent hundreds of years ago.
What is Imperial System?The imperial system of units, imperial system or imperial units is the system of units first defined in the British Weights and Measures Act 1824 and continued to be developed through a series of Weights and Measures Acts and amendments.
here, we have,
American units different from the metric system:
Distance is frequently measured in kilometers rather than miles, volume is frequently measured in liters rather than ounces, and clothing sizes are frequently measured in centimeters rather than inches.U.S. fasteners are frequently referred to as "standard." metric unit-based measurements, like millimeters. However, keep in mind that the United States is currently producing fasteners using the metric system.The imperial system, which uses measurements in feet, inches, and pounds, is used in the United States, as opposed to most other nations, which use the metric system, which uses measuring units like meters and grams.Obviously because of the British. A tangled web of sub-standard medieval weights and measurements was the British Imperial System, which was introduced to North America by the British Empire when it colonized the continent hundreds of years ago.To learn more about : Imperial System
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Will mark BRAINLIEST! Correct Answer will get BRAINLIEST! Segment $AB$ has midpoint $C$, and segment $BC$ has midpoint $D$. Semi-circles are constructed with diameters $\overline{AB}$ and $\overline{BC}$ to form the entire region shown. Segment $CP$ splits the region into two sections of equal area. What is the degree measure of angle $ACP$? Express your answer as a decimal to the nearest tenth.
Answer:
112.5°
Step-by-step explanation:
Let the radius of the arc constructed with diameter AB be R while the radius of the arc constructed with diameter BC be r.
BC = AB/2, therefore, r = R/2
The area of the semicircle with arc AB is given as:
Area 1 = πR²/2 = π(2r)²/2= 2πr²
The area of the semicircle with arc BC is given as:
Area 2 = πr²/2
The sum of the two area is given as:
Total area = Area 1 + Area 2 = πr²/2 + 2πr²
Total area = 5πr²/2
Segment CP splits the region into two sections of equal area. Therefore half of the total area = (5πr²/2)/2 = 5πr²/4
The area of a sector is given by:
[tex]Area \ of \ a\ sector =\frac{\theta}{360}*\pi r^2 \\but\ the\ radius\ of\ cp = R\\Area \ of \ sector\ cp =\frac{\theta}{360}*\pi R^2 \\\frac{5}{4}\pi r^2=\frac{\theta}{360}*\pi (2r )^2 \\\\ \frac{5}{4}\pi r^2=\frac{\theta}{360}*4\pi r^2 \\\frac{\theta}{360}=\frac{5}{16}\\ \theta=112.5^0[/tex]
Students were asked to choose their favorite subject. If 2/10 the students
chose history and 2/10 chose biology, what fraction chose either history or
biology?
Answer:
[tex]\frac{4}{10}[/tex], simplified to [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]\frac{2}{10}[/tex] + [tex]\frac{2}{10}[/tex] = [tex]\frac{4}{10}[/tex] ÷ [tex]2[/tex] = [tex]\frac{2}{5}[/tex]
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries three-fourths, three-halves, 3, 6, 12. Which exponential function is represented by the values in the table?
Answer:
f(x) = 3(2)^x
Step-by-step explanation:
The Table is:
x f(x)
-2 3/4
-1 3/2
0 3
1 6
2 12
The exponential funtion has the next form:
f(x) = a(b)^x
At x = 0, f(x) = a. Then, a = 3
Isolating b from the equation:
f(x)/a = b^x
ln(f(x)/a) = x*ln(b)
[ln(f(x)/a)]/x = ln(b)
At x = 1, f(x) = 6. Then:
[ln(6/3)]/1 = ln(b)
ln(2) = ln(b)
2 = b
Therefore, the function is f(x) = 3(2)^x
Which letter comes next? F H K N Z ? Choose from: L M T Y
Answer:
t
Step-by-step explanation:
The letter that comes next in the given sequence is K.
The given sequence is F H K N Z.
We need to find which letter comes next in the given sequence.
What is the pattern followed in the given sequence?The pattern followed by the given sequence is they are letters of sounding board consonants.
Therefore, the letter that comes next in the given sequence is K.
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PLEASE ANSWER AT LEAST ONE AND IF YOU CAN, ANSWER MORE THAN ONE. THANK YOU!!!!
1. Read the following word problem, then choose which linear equation models the problem.
The sum of the ages of an older sibling and a younger sibling is 16. Four years from now, the of the younger sibling will be the same as the age of the older sibling was two years ago. Find the present age of each sibling.
A. 4x = 14 - x + 16
B. x + 14 - x = 16 + 2
C. x - 4 = 14 + x
D. x + 4 = 14 - x
2. Read the following word problem, then choose which linear equation models the problem.
A rectangular trampoline has an area of 338 square feet. The length of the trampoline is twice it’s width. Find the dimensions of the trampoline.
A. 2w = 338
B. 2w • w = 338
C. 2w + 2w = 338
D. 2(w + w) = 338
3. Read the following word problem, then choose which linear equation models the problem.
The length of a rectangle is six feet more than twice the width. The rectangles perimeter is 84 feet. Find the width and length of the rectangle.
A. 2w + 6 + w = 84
B. 2(2w + 6) + 2w = 84
C. (2w + 6) • (w) = 84
D. 2(2w + 6) • (2w) = 84
4. Read the following word problem, then choose which linear equation models the problem.
In Sunnyvale Park, there are 55 species of birds that migrate. This accounts for one third of all the species of birds sighted in the park. Find the number of species of birds that have been sighted in Sunnyvale Park.
A. 1/3 + x = 55
B. 1/3x = 55
C. 1/3 - x = 55
D. 55 + 1/3 = x
Answer:
Step-by-step explanation:
Answer:
1. B
2.B
3. B
4. B
Step-by-step explanation:
How much would $600 be worth after 10 years, if it were invested at 4%
interest compounded continuously? (Use the formula below and round your
answer to the nearest cent.)
A(t) = Pooh
Answer:
$895.09
Step-by-step explanation:
Step-by-step explanation:
Applying the given formula:
A = $600e^(0.04*10), or
= $895.09
PLEASE HELP For what value of the variable will the value of 2x+1 be 20 greater than 8x+5?
It will be a negative.
for an example: -20 for x would mqke 2x + 1 into -39 and 8x + 5 into -155. that's 116 apart, so maybe -2(8) + 5 = -11
-2(2) + 1 = -3
but that's only 8 apart, so it'd be higher.
-4(2) + 1 = -7
-4(8) + 5 = -27
BOOM
Tadaaaa,
You probably thought positive, but sometimes it's negative, you know what I mean?
If a = 4 and b = 7, what is the value of the following expression? 20 ÷ a + 7 • b A. 28 B. 84 C. 54 D. 33
Answer:
54
Step-by-step explanation:
20 ÷ a + 7 • b
Let a = 4 and b = 7
20 ÷ 4 + 7 • 7
Multiply and divide first
5 + 49
Then add
54
Answer:
54
Step-by-step explanation:
20 ÷ a + 7 × b
Plug in the values.
20/4 + 7 × 7
Evaluate
5 + 49
54
The lengths of the sides are in centimeters. The area of triangle A is equal to the area of triangle B.Work out the value of x, giving your answer in the form a ± √b where a and b are integers.
Answer:
hg
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
L: y= -4x + 17
Step-by-step explanation:
For a line L to pass through two points, we use the slope formula to calculate the slope, m, where
m = (y2-y1) / (x2-x1)
= (9-1) / (2-4)
= 8 / -2
= -4
Next we use the point slope form to find the line equation:
L: (y-y1) = m (x-x1)
substitute (x1,y1) = (4,1)
L: y-1 = -4 (x-4)
Simplify:
L: y = -4x + 16 + 1
L: y= -4x + 17
Check: substitute (4,1)
y = -4(4)+17 = 1 checks
substitute (2,9)
y = -4(2)+17 = 9 checks
so
L: y= -4x + 17
Answer:
y is equal to 5 and x is equal to 11
The manager of a grocery store estimates that 74% of customers will make a purchase.
Part A: How many customers should a cashier expect until he finds a customer that makes a purchase?
Part B: What is the probability that a cashier helps 3 customers until he finds the first person to make a purchase?
Answer:
I know part B: 4.69%
P(y=k)=(1-p)^k-1 p
I have yet to figure out A but I know their answer is wrong for B
Step-by-step explanation:
Its out of 3 not 100. So you have to fill the numbers into the equation.
An equilateral triangle has the same perimeter as a square whose side is 12.What is the length of each side of the triangle?
Answer:
Perimeter for rectangle/square is (length + width) x 2
12 + 12 = 24
24 x 2 = 48
So the perimeter is 48
divide 48 by 3 so it is split between 3 sides
48/3=16
so each side has a length of 16
Perimeter for triangle is adding up all the sides together
16 + 16 + 16 = 48 so the perimeter is the same as the square
16 is the answer
Hope this helps
Step-by-step explanation:
Answer:
The side length of the triangle is 16
Step-by-step explanation:
The perimeter of the triangle is
P = 3t since the sides are all equal
The perimeter of the square is
P = 4s since the sides are all equal
We are given the perimeter of the square is 12
P = 4*12
P = 48
We are told the perimeters are equal
48 = 3t
Divide by 3
48/3 = 3t/3
16 =t
The side length of the triangle is 16
There are three times as many fiction books as non-fiction books in a library. 122 fiction books and 24 non-fiction books are loaned out. There are now twice as many non-fiction books as fiction books. How many books were in the library?
Answer:170
Step-by-step explanation:
122+24+24=170