Answer:
3920 - 36x ≤ 500
Step-by-step explanation:
Calista worked all summer to save for spending money while she is away for college. She goes off to college with $3920 in her savings account. She wants to have at least $500 left in her account at the end of her 36-week school year. Write an inequality to represent this situation.
Let the amount of money spent in 36 weeks = x
At least = Less than or equal to = ≤
$3920 - 36x ≤ $500
Hence, the inequality to represent this situation is written as:
3920 - 36x ≤ 500
Mr. Reginer's class has been struck with hiccups. Three of the students track their number of hiccups over time
Answer:
Step-by-step explanation:
I dont understand the question.
Solve for x.
4. 31-1 = 92x+4
PLEASE PLEASE HELP PLEASE
Write two numbers that multiply to the value on top and add to the value on bottom.
ALSO please explain how you got it the best you can I don't understand:(
Answer:
-2 and -7
Step-by-step explanation:
This problem is about using the Factoring X.
Two numbers will multiply to the number placed at the top. These same two numbers will add to the value placed on the bottom.
Let's look at the factors of 14.
1 • 14 = 14
2 • 7 = 14
Now let's look at their sums.
1 + 14 = 15
2 + 7 = 9
We can see that 2 and 7 multiply to 14 and add to 9.
However, we need them to add to -9.
Note that two negative numbers multiplied will become positive.
-2 • - 7 = 14
Now let's look at their sum.
-2 + (-7)
Simplify the negative.
-2 - 7 = -9
We can see that -2 and -7 multiply to 14 and add to -9.
Hope this helps!
i need help with this !!!!!
Answer:
4 + 9 = 13
+ +
12 - 8 = 4
= =
16 17
Took a while to solve but hope this helps!!
Answer:
top left=4, top right =9, bottom left=12, bottom right =8 -- set it up as a system of small equations.
Step-by-step explanation:
x+y=13
x+w=16
y+z=17
w-z=4
x=16-w
y=17-z
then substitute.
(16-w)+y=13
-w+y= -3
-w+(17-z)= -3
-w-z = -20 add that to w-z=4
-2z= -16
z=8
then plug back in until you have all 4 values
w-(8)=4 --> w=12
-(12)+y= -3 --> -12+y= -3 --> y=9
x+(9)=13 --> x=4
Consider r (x) = StartFraction a x Superscript b Baseline + 8 Over c x Superscript d Baseline EndFraction, where a, b, c, and d are positive integers and b < d. What value does r(x) approach as x approachesInfinity? 0 StartFraction a Over c EndFraction StartFraction b Over d EndFraction Infinity
Answer:
The correct answer is 0 or choice A on edge
Step-by-step explanation:
right on edge
Therefore, value of r(x) as x approaches Infinity : zero
[tex]\bold{\lim_{x \to \infty} r(x)=0}[/tex]
What is function?"A function is a special relationship where for each input and their is single outputs."
What is limit?"Limit is defined as the value that a function approaches for the given input value."
For given situation,
We have been given a function,
r (x) = Start Fraction a x Superscript b Baseline + 8 Over c x Superscript d Baseline End Fraction
We can rewrite it as,
[tex]r(x)= \frac{ax^b+8}{cx^d}[/tex] , where a, b, c, and d are positive integers and b < d.
We need to find the value of r(x) approach as x approaches Infinity.
This means, we need to find the value of the limit [tex]\lim_{x \to \infty} r(x)[/tex]
Now, we find the value of limit for given function.
[tex]\lim_{x \to \infty} r(x)[/tex]
= [tex]\lim_{x \to \infty} \frac{ax^b+8}{cx^d}[/tex]
= [tex]\lim_{x \to \infty} (\frac{ax^b}{cx^d} + \frac{8}{cx^d})[/tex]
= [tex]\lim_{x \to \infty} \frac{a}{cx^(d-b)} + \lim_{x \to \infty} \frac{8}{cx^d}[/tex] ...............(since d > b)
= [tex]0 + 0[/tex]
= [tex]0[/tex]
Therefore, [tex]\bold{\lim_{x \to \infty} r(x)=0}[/tex]
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A. Vertical angles
B. Alternate exterior angles
C. Alternate interior angles
D. Supplementary angles
Answer:
Supplementary angles
Step-by-step explanation:
I took the test and this was the correct answer
A line has a slope of 1/5 and passes through the point (3,10). What is its equation in point-slope form? Use the specified point-slope form.
The equation of a line that has a slope of 1/5 and passes through the point (3, 10) is y= (1/5)x + (47/5).
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is that a line has a slope of 1/5 and passes through the point (3, 10)
We can write the slope of the line as -
m = 1/5
For the point (3, 10), we can write -
y = (1/5)x + c
10 = (1/5) x 3 + c
c = 10 - 3/5
c = 47/5
Therefore, the equation of a line that has a slope of 1/5 and passes through the point (3, 10) is y= (1/5)x + (47/5).
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a Sin CA-45°) = - 言 √2 (cos A-SinA)
Answer:-√2 sin (45° - A)
Step-by-step explanation:
How do you graph LN functions?
We will plot the graph for a LN function by keeping in mind that the domain must be greater than 0.
What is LN function?LN means natural logarithm. LN function denotes natural logarithm function. It has also another name, logarithm of base e.
It is expressed as
y = ㏑x that is the inverse of
the natural base exponential function
y = ex
How do we graph LN function?If we have a logarithm function, f(x) = y = ln x
while plotting with the above function, ln x can be found for only the positive value of x and there is no value of ln x for negative values.
The properties of the graph of the LN function are following.
The domain of the LN function is only the real numbers that means x > 0.
The ranges of the LN function are all real number.
The coordinate of x intercept of the LN function is (1, 0).
The graph of LN function will be such that it will never touch the Y axis although it always approaches to it.
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How to determine if a triangle is right acute or obtuse based on side lengths calculator?
A triangle is said to be acute if the sum of the squares of its two shorter sides is greater than the square of its longest side.
How do you know if its right obtuse or acute?Less than 90 degree angles are considered acute. Right angles have a 90 degree angle. Angles that are obtuse exceed 90 degrees.
See samples of various angles and learn about them. If and only if side lengths a, b, and c satisfy a2 + b = c2, a right triangle will be formed. These numbers are referred to as a Pythagorean triple. When the square of a triangle's longest side equals the sum of the squares of its other two sides, the triangle is said to be a right triangle. So, in the ABC equation, if c2=a2+b2, then C is a right triangle, with PQR serving as the right angle.
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Please help with all
In circle R with m ∠ Q R S = 46 m∠QRS=46 and Q R = 19 QR=19 units, find the length of arc QS. Round to the nearest hundredth.
Answer:
dont click on the link its no the answer
Step-by-step explanation:
9. What is the surface area of a tennis ball with a diameter of 2.6 Inches? Use 3.14 for pl and round to the nearest hundredth.
O 5.31 sq in
10.61 sq in
O 8.16 sq in
O 21.23 sq in
Answer:
D: 21.23 sq in
Step-by-step explanation:
A tennis ball is a sphere, so we're going to use the surface area of a sphere formula. (4πr²)
Remember that radius is HALF of the diameter, which in this case is 2.6. This means the radius is 1.3.
π represents 3.14
Once you plug the values into the above equation, you should receive the above answer.
A fish tank contains 24 L of water. Water is added to increase the volume by 12.5%. What is the new volume of water in the tank?
Answer:
27 L
Step-by-step explanation:
To find 12.5% of 24, move the decimal all the way to the left and multiply 24 by 0.125. You get 3, which is how much was added to the original volume.
24 + 3 = 27, which is the new volume.
YG and h are parallel. what is the value of n
Answer:
139⁰
Step-by-step explanation:
since g and h are parallel
then n= 139⁰ (corresponding angles)
what is the coefficient of x8y9 in the expansion of (3x + 2y)17?
The coefficient of x⁸y⁹ is 81662929920.
What is binomial expansion?A binomial is a two-term algebraic expression. Examples of binomials include a + b, x - y, and more.
The binomial expansion formulae are used to find the powers of the binomials that cannot be extended using the algebraic identities.
Given expansion (3x + 2y)¹⁷
to find the coefficient of x⁸y⁹
this is found by binomial expansion,
(x + y)ⁿ = ∑ₙˣ⁻⁰ ⁿCₓxⁿ⁻ˣyˣ
here n = 17 and x = 9
(3x + 2y)¹⁷ = ¹⁷C₉ (3x)¹⁷⁻⁹ (2y)⁹
¹⁷C₉ = 24310
(3x + 2y)¹⁷ = 24310 (6561) (x)⁸ (512) (y⁹)
(3x + 2y)¹⁷ = 81662929920x⁸y⁹
Hence the coefficient is 81662929920.
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Describe a sequence of transformation that maps DOG onto CAT
Reflect it across the x-axis, then translate it up 6 units and left 1 unit before reflecting it across the y-axis.
what is sequence ?A collection of numbers, or "terms," is referred to as a sequence. Examples of terms include 2, 5, and 8. Some sequences can be made endlessly long by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the series. There are formulas that demonstrate where to look for words within a sequence. A collection of objects that are in some order is known as a sequence in mathematics (or events). It resembles a set in that it has pieces (also called elements or terms). The total, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more objects in a logical order.
given
Δ DOG AND ΔCAT
According to Chanel, the series of transformations that maps triangle ABC onto triangle DEF is as follows:
Reflect it across the x-axis, then translate it up 6 units and left 1 unit before reflecting it across the y-axis.
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2x + 3 5x – 42 x = [ ? ]
Find the lengths of the diagonals of rectangle WXYZ.
WY= 16x + 2-
XZ=36x-6
The length of each diagonal is
units.
Therefore , the solution of the given problem of equation comes out to be each diagonal measures 8.4 units in length..
Define equation.An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra contains the fundamental concepts of mathematics.
Here,
Given: 16x + 2 = 36x - 6 8 = 20x x = 8/20, simplifying to 2/5, or 0.4
You would set the two equations equal to one another and find x because a rectangle's diagonals are congruent.
Re-enter the value of x into a single of the equations.
=>16(0.4) + 2
=>6.4 + 2
=>8.4
To make sure, confirm with the other diagonal.
=>36(0.4) - 6
=>14.4 - 6
=>8.4
Each diagonal measures 8.4 units in length..
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Please help me, thank you very much
The scale factor of the blueprint of a garage door to the actual garage door is 0.05. The area of the actual garage door is 220 ft2 . What is the area of the garage door on the blueprint
The area of the garage door on the blueprint is 0.55 ft^2.
The size of a patch on a surface is determined by its area. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
Given in question,
Scale factor = 0.05
Since this scale factor is for length.
The scale factor for the area = 0.05*0.05
= 0.0025
Original Area = 220
The area on the blueprint = 0.0025*220
= 0.55
Hence, the area of the garage door on the blueprint is 0.55 ft^2.
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write 300/1,100 as a percent
Answer:
27.3%
Step-by-step explanation:
300/1100 = 0.2727
to get percentage we multiply ^^ by 100
so = 27.27% or rounded to nearest tenth = 27.3
the slope of the line below is -1. write the point-slope equation of the line using the coordinates of the labeled point. (7, -7)
Answer:
y + 7 = -(x - 7)
Step-by-step explanation:
point slope is written in the form y - y₁ = m(x - x₁)
substitute -1 for m, 7 for x₁ and -7 for y₁
The ranges of values = 40 and the number of sets = 10 , then the length of set is
For example, if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 6}, then x=6>5=y, but if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 7}, then x=6=y. not sufficient.
What is values?Values are ideals or beliefs that a group or an individual hold and are essential for determining what is desirable or undesirable to them. Values can also be seen as overall conceptions people hold toward the world and aligns their behavior, motivation, perceptions, and personality. Values establish a framework through which people can compare what is most important and, in most cases, forms the basis for making choices. People interact with the world based on their values, which vary from person to person.An individual can value integrity, while another will value loyalty, and these values are shaped by a person's past experiences or cultural background. Notably, an individual can have several sets of values, but the degree to which the person can value these things can vary. A good example is someone who values family and wealth. There could be situations whereby such an individual can be faced with choosing between family and wealth, and it is very normal to sacrifice one over the other.To learn more about values refer to:
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Complete question is: If the ranges of values = 40 and the number of sets = 10 , then what will be the length of set ?
In in1965 the population of country A wa 2,714,000. In 2015 the population wa 3,663,900. Determine the percentage increae in the population from 1965 to 2015
The percentage increase in the population from 1965 to 2015 is 35 %.
To calculate the population growth rate (PG), take the difference (subtraction) between the original population and the population at time point 1, divide by the original population, and multiply by 100. The population growth rate (PGR) for that period (10 years) was 12%.
Given:
In the year 1965, the population of country A was 2714000.
In the year 2015, the population of country A was 3663900.
Percentage increase in population 50 years
= [tex]\frac{(3663900-2714000)}{2714000}[/tex] × 100
= 35 %
Thus, the percentage increase in the population from 1965 to 2015 , i.e, 50 years is 35%.
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Last week, the price of a gallon of gasoline was `g` dollars.
This week, the price of gasoline per gallon increased by `5\%`.
Select all of the expressions that represent this week's price of gasoline per gallon. Select all that apply
g+0.05
g+0.05g
1.05g
0.05g
(1+0.05) g
The expressions that represent this week's price of gasoline per gallon =g+0.05g.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Here, we have,
the price of a gallon of gasoline was `g` dollars.
the price of gasoline per gallon increased by `5%`.
So, the expressions that represent this week's price of gasoline per gallon
=g + g*5%
=g+0.05g
Hence, the expressions that represent this week's price of gasoline per gallon =g+0.05g.
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A cube with volume 8 cubic centimeters is cut in half by a plane which contains two edges of the cube. What is the area of the rectangle formed by the intersection of the plane and cube ? express your answer in simplest radical form.
In simplest radical form as A = 22 = 4 cm2
The formula for the volume of a cube is V = a3, where a is the length of each of the cube's sides. In this case, we know that the volume of the cube is 8 cm3, so a3 = 8. When we take the cube root of 8, we get that a = 2 cm.
Therefore, the area of the rectangle formed by the intersection of the plane and cube is A = 2*2 = 4 cm2. This can also be expressed in simplest radical form as A = 22 = 4 cm2.
To calculate this step by step, we first use the formula V = a3 to find the length of each side of the cube. We plug in 8 cm3 for V and solve for a.
V = a3
8 cm3 = a3
Taking the cube root of both sides gives us:
a = ∛8
a = 2 cm
Next, we use the formula for the area of a rectangle, A = l*w, where l is the length and w is the width. We know that the length and width of our rectangle are both equal to 2 cm.
A = l*w
A = 2*2
A = 4 cm2
This can also be expressed in simplest radical form as A = 22 = 4 cm2.
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help please
For each comparison below, select the correct symbol (<,>, or =) that indicates the relationship between the first and second quantity.
Answer:
See belowStep-by-step explanation:
f(x) is quadratic function and g(x) is linear (since AP in the right column).
Find the equation of the function f(x), use the points on the graph:
f(x) = ax² + bx + c c = 5 as the y-intercept is (0, 5)a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = ba(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4The function is:
f(x) = -x² + 4x + 5Find the equation of g(x)
Find the slope of g(x):
m = (1 - 7)/(-1 + 4) = -2Use (-4, 7) to find its equation:
y - 7 = -2(x + 4)y = -2x + 7 - 8y = -2x - 1See the required comparison belowThe y-intercepts:
f(x) ⇒ 5, g(x) ⇒ -1-5 < - 1Values at x = 3:
f(3) = -3² + 4(3) + 5 = 8g(3) = -2(3) - 1 = - 78 > 7Average rate of change in the interval [2,5]:
f(x) ⇒ (0 - 9)/(5 - 2) = -3g(x) ⇒ (-11 + 5)/ (5 - 2) = -2-3 < -2Max of function in the interval [-5, 5];
f(x) ⇒ 9, vertex of the functiong(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function9 = 9Answer:
Step-by-step explanation:
What grade are you in bc I did this
Find the x-intercept and y-intercept
from the following linear equation:
X + 4y = -56
x - intercept ()
y - intercept ()
Answer:
x-intercept: (-56, 0)
y-intercept: (0, -14)
Step-by-step explanation:
The x-intercept is the point at which the line crosses the x-axis, so when y=0. To find the x-intercept, substitute y=0 into the given equation:
[tex]\begin{aligned}y=0\implies x+4(0)&=-56\\x+0&=-56\\x&=-56\end{aligned}[/tex]
Therefore, the x-intercept of the given linear equation is:
(-56, 0)The y-intercept is the point at which the line crosses the y-axis, so when x=0. To find the y-intercept, substitute x=0 into the given equation:
[tex]\begin{aligned}x=0\implies 0+4y&=-56\\4y&=-56\\y&=\dfrac{-56}{4}\\y&=-14\end{aligned}[/tex]
Therefore, the y-intercept of the given linear equation is:
(0, -14)a circular fish pond has a diameter of 14 m the pond is surrrounding by a concrete path 1.75 meters wide. Find the ponds area. take pi as 22/7
Area of the pond is 86.625 m²
What is the area formula to a circle?The following formulae can be used to determine a circle's area: Area is equal to r2, where r stands for radius. Area is equal to (/4) d2, where d stands for diameter.The region encircled by a circle of radius r is known as r2 in geometry. Here, the Greek letter stands for the constant proportion of a circle's circumference to its diameter, which is roughly equivalent to 3.14159.A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.Pi () is a unique mathematical constant that expresses the relationship between a circle's circumference and diameter.Given data :
Diameter of the pond = 14m
Radius of the inner circle (pond), r = 7 m
Width of the concrete path = 1.75m
Radius of outer circle (Including pond + Path), R = 7 + 1.75 = 8.75 m
Area of the path = Area of the outer circle − Area of the inner circle.
= πR² - πr²
= 22 / 7 x ( 8.75 + 7) ( 8.75 − 7 )
= 86.625 m²
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