If 5 dollars can be exchanged for 7.7095 units of some foreign currency, the unit of that currency that can be obtained for 6 dollars will be
How do we calculate how much currency can be obtained for 6 dollars?5 dollars can be exchanged for 7.7095 units. This means that 1 dollar equals to:
5 dollars / 5 = 7.7095 units / 5
1 dollar = 7.7095 units / 5
1 dollar = 1.5419 units.
Now, for 6 dollars, the foreign currency that can be obtained is:
= 6 * 1.5419 units
= 9.2514 units. Therefore, 9.2514 unit of the foreign currency can be obtained for 6 dollars.
Read more about foreign currency
brainly.com/question/25970050
#SPJ1
find the equation of the exponential function if the rabbit population has increased to 345 after 1 year.
The exponential function is P(t)=60(4)^t that can be expressed in terms of feature of the subsequent form: f ( x ) = a x.
Initial population 'a'=60 rabbits
After 1 year, the rabbit population is 240.
An exponential feature is a mathematical feature of the subsequent form: f ( x ) = a x. wherein x is a variable, and a is a regular known as the bottom of the feature.
Equation of the exponential function.
y=ab^x
Put x=0, y=60
60=ab^0
a=60
Put x=1, y=240
240=60(b)^1
b=4
Thus,
y=60(4)^x
P(t)=60(4)^t
To learn more exponential function check the link below:
https://brainly.com/question/2456547
#SPJ4
IM SORRY THIS IS LONG BUT I CANT SOLVE AND RLLY NEED HELP. Mark makes 5$ an hout in tips working at a videogame store, and 7$ an hour working at a landscaping company. Mark must work at least 4 hours in the videogame store per week. The total amount of hours he works at both must (as in all the hours added up) be less than 15.
a. Write a system of linear inequalities to model the number of hours Mark could work at each location per week.
b. Graph the inequality
c. If Mark works 7 hours in the videogame store, how many hours (max) can he work in the landscaping company?
d. How much money would he make?
Answer:
im not sure but maybe it could be A.
a linear ___ is a mathematical statement that two linear expressions, or a linear expression and a constant, are not equal.
A linear equation is used to prove the mathematical result that two linear expressions, or a linear expression and a constant, are not equivalent.
What is a linear equation?The mathematical assertion that two linear expressions, or a linear expression and a constant, are not equal is made via a linear equation.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
A mathematical equation must take the form y=mx+b in order to be classified as a linear function (in which m is the slope and b is the y-intercept).
Therefore, a linear equation is used to prove the mathematical result that two linear expressions, or a linear expression and a constant, are not equivalent.
Know more about linear equations here:
https://brainly.com/question/2030026
#SPJ4
A store sells grape jelly in 15-ounce jars for $13.59. Find the price per ounce
Answer:
91 cents per ounce
Step-by-step explanation:
Divide 13.59 by 15
Answer: $0.91
Step-by-step explanation:
Take $13.59 divided by 15 = $0.91 per ounce
If you can, please give me a Brainliest, I need 2 more to get to the highest rank, thank you!
a standard card deck consists of 52 cards, made up of 13 cards of each of 4 different suits. how many unique 5 card hands exist that are all the same suit? hint: does order matter?
By the information provided in the question, we got to know that - there are 2598960 ways.
What are combinations?Combining means selecting all or part of a set of objects, regardless of the order in which the objects are selected. Suppose we have a set of three characters.
[tex]^nC_{r} = \frac{n!}{r!(n - r)!}[/tex]
You are choosing a subset of size 5 from a set of size 52.
[tex]Note that the order you are dealt these 5 cards is irrelevant.[/tex] Thus, order doesn’t matter.
Thus, this is a combination problem. The formula for this is:
[tex]Comb(52,5) = \frac{52!}{5! 13!} = 2598960.[/tex]
To know more about combination visit:
https://brainly.com/question/20211959
#SPJ4
START
5³
A
125
12 = 144
n=?
E
4
3
25
75
2
Ĉ
216
60069
LEVEL 3
Use your answers to guide you to the end
of the maze to make your escape.
24
B
8
4 = 256
n=?
F
4
27
23
16
✓
6
G
128
15
3" = 729
n=?
G
64
26
K
G
7
32
128
73
D
343
5= 625
n=?
H
ESCAPE!
aaaaaaa
Answer:
From A you go down to E, then to the right to F, down to J, to the right to K, up to G, up to C, right to D, down to H, and then the escape box dsvfhwvhvwhr,vhf
You roll a 6- sided die what is p (greater than 3 or factor of 14)
Answer:
7
Step-by-step explanation:
Which is the value for
54
.
3
÷
10
0
?
Answer:
The answer is acually 54.3
Step-by-st
How do you convert 32 into scientific notation?
We relocate the decimal point such that there is just one non-zero digit in front of the decimal point to achieve "normal" scientific notation. 32 thus becomes 3.2.
What's standard form in math?
A number can be written in a certain style that adheres to regulations, which is known as its standard form.
How do you write in standard form?Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form. If you look closely, you will see that 1.23 is a decimal between 1.0 and 10.0, and as a result, we have the standard form of 123,000,000 as 1.23 10^8.
32=3.2 × 10^1
To learn more about standard form visit:
https://brainly.com/question/29000730
#SPJ4
Nora has a loyalty card good for a discount at her local pharmacy. The item she wants to buy is priced at $28, before discount and tax. After the discount, and before tax, the price is $23.24. Find the percent discount
The percentage discount for the good bought by Nora is 17%.
What is the percentage discount?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
In this situation, Nora has a loyalty card good for a discount at her local pharmacy. The item she wants to buy is priced at $28, before discount and tax. After the discount, and before tax, the price is $23.24.
The percentage discount will be:
= Discount / Original value × 100
= (28 - 23.24) / 28 × 100
= 4.76 / 28 × 100
= 17%
Learn more about percentages on:
brainly.com/question/24877689
#SPJ1
A rectangle has an area of 24 cm^
2. Function gives the length of the rectangle, in
centimeters, when the width is cm.
Determine if each value, in centimeters, is a possible input of the function.
3 0.5 48 -6 0
The width value if A rectangle has an area of 24 cm² are 8, 48, 0.5, 4, and non-defined.
What is area?The measurement that expresses the size of a region on a plane or curved surface is called an area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
Given:
A rectangle has an area of 24 cm²
The function of the area can be written as,
F(A) = l × b, b = A / l
Put l = 3
then b = 24 / 3 = 8 cm
Put l = 0.5
then b = 24 / 0.5 = 48 cm
Put l = 48
then b = 24 / 48 = 0.5 cm
Put l = -6
then b = 24 / -6 = -4 cm
Put l = 0
then b = 24 / 0 = non defined
Therefore, the width value if A rectangle has an area of 24 cm² are 8, 48, 0.5, 4, and non-defined.
To know more about Area:
brainly.com/question/27683633
#SPJ1
2b + 8 - 5b + 3 = -13 + 8b -5
Which transformation of triangle ABC produces the congruent image triangle DEF?
Options
Rotate 90 counterclockwise about the origin, then
translate 9 units right and 1 unit down.
Translate 11 units right, then reflect in the line
y=-1.
Reflect in the y-axis, then translate 11 units down.
Rotate 90 clockwise about the origin, then
translate 1 unit down and 9 units right.
The correct option Rotate 90 counterclockwise about the origin, then translate 9 units right and 1 unit down, to get the image triangle DEF.
Explain the term transformation of coordinates?Typically, the equation (x, y) = f will describe a coordinate transformation (u, v). You can imagine it as deforming or shifting objects from the u-v plane to the x-y plane.Translation:
If we are aware of the direction and magnitude of the figure's movement, we may draw the translation in the coordinate plane. Use P'(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up.Rotation 90 counterclockwise:
Let's use the 90° counterclockwise rotation rule to get the vertices of our new pentagon: (x,y) becomes (-y,x). Plotting the points just on coordinate grid and labeling the vertices will follow soon.Thus, triangle transformation Triangle DEF is the congruent image produced by ABC. Turn the object 90 degrees counterclockwise, then move it 9 units to the right and 1 unit to the bottom.
To know more about the transformation of coordinates, here
https://brainly.com/question/18222741
#SPJ1
Please help, thank you. -10 points
Answer:
C
Step-by-step explanation:
3y+3=3y-3
taking the 3y from the right to the left and the 3 in the left to the right
3y-3y= -3-3
0=-6
taking the 3y from the left to the right and the 3 in the right to the left
3+3=3y-3y
6=0
the area of the compound shape below is 30mm^2.
Calculate the value of x.
If your answer is a decimal, give it to 1 d.p
Answer:
x = 2.5 mm-------------------------------------
Set equation for area of given shape:
x*4 + x*(2x + 3) = 30Simplify and solve for x:
4x + 2x² + 3x = 302x²+ 7x = 302x² + 7x - 30 = 0x = [-7 ± √(7² - 4*2*(-30))] /4x = (-7 ± √289)/4x = (-7 ± 17)/4x = (10/4) and x = (- 24)/4 (discarded as negative number for the segment length)x = 2.5 mmAnswer:
x = 2.5 mm
Step-by-step explanation:
A compound shape is made up of two or more basic shapes.
From inspection of the given compound shape, we can see that it is made up of two rectangles.
[tex]\boxed{\begin{minipage}{4 cm}\underline{Area of a rectangle}\\\\$A=w \cdot l$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\ \phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}[/tex]
Dimensions of the smaller rectangle:
w = xl = 4 mmDimensions of the larger rectangle:
w = xl = (2x + 3) mmTherefore, the equation for the area of the compound shape is:
[tex]\begin{aligned}\implies \textsf{Area}&=x \cdot 4 + x \cdot (2x+3)\\&=4x+x(2x+3)\\&=4x+2x^2+3x\\&=2x^2+7x\end{aligned}[/tex]
Given the area of the compound shape is 30 mm², substitute this value into the found equation for area and solve for x:
[tex]\begin{aligned}\implies 2x^2+7x &=30\\2x^2+7x-30&=0\\2x^2+12x-5x-30&=0\\2x(x+6)-5(x+6)&=0\\(2x-5)(x+6)&=0\\\\2x-5&=0 \implies x=2.5\\x+6&=0 \implies x=-6\end{aligned}[/tex]
As length is positive, x = 2.5 mm only.
which of the following wave functions satisfies the wave equation, ∂2y(x,t)∂x2=1v2∂2y(x,t)∂t2?D(x,t)=Acos(kx+?t)D(x,t)=Asin(kx+?t)D(x,t)=A(cos kx + cos ?t)For the wave of part (b), determine the functions for the transverse velocity and transverse acceleration of a particle at point x.
The wave function that satisfies wave equation is D(x,t) = A cos(kx + ωt) that is option C is correct.
This wave function satisfies the wave equation because it can be rewritten as:
D(x,t) = A cos(kx) cos(ωt) - A sin(kx) sin(ωt)
And the left-hand side of the wave equation is simply the sum of the second derivatives of the two cosine and sine functions with respect to x, while the right-hand side is the product of the second derivative of the cosine function with respect to t and the second derivative of the sine function with respect to t.
For the transverse velocity of a particle at point x, the function is given by:
v(x,t) = -Aω sin(kx) cos(ωt) - Ak cos(kx) sin(ωt)
And for the transverse acceleration, the function is given by:
a(x,t) = -Aω^2 cos(kx) cos(ωt) + Ak^2 sin(kx) sin(ωt)
These functions can be derived by taking the first and second derivatives of the wave function with respect to time.
Learn more about Wave equation at:
brainly.com/question/25699025
#SPJ4
Numerical Integration Estimate the surface area of the oil spill using the Trapezoidal Rule and Simpson's Rule. Using a Tangent Line In Exercises 61-64, set up and evaluate the definite integral that gives the area of the region bounded by the graph of the function and the tangent line to the graph at the given point. f(x) = x^3, (1, 1) y = x^3 - 2x. (-1, 1) f(x) = 1/x^2 + 1, (1, 1/2) y = 2/1 + 4x^2, (1/2, 1)
The area is 0.25
What is a tangent line?
The straight line that "just touches" the curve at a particular location is known as the tangent line (or simply tangent) to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together. A straight line has a slope of f'(c), where f' is the derivative of f, and is said to be tangent to a curve at a point x = c if it passes through the point (c, f(c)) on the curve. Space curves and curves in n-dimensional Euclidean space have a similar definition.
[tex]$$\begin{aligned}& f^{\prime}(x)=\frac{\mathrm{d}}{\mathrm{d} x}\left[x^3-2 x\right] \\& f^{\prime}(x)=\frac{\mathrm{d}}{\mathrm{d} x}\left[x^3\right]-\frac{\mathrm{d}}{\mathrm{d} x}[2 x] \quad \text { Sum } / \text { Rest rule } \\& f^{\prime}(x)=3 x^{3-1}-2 \quad \text { Power rule } \\& f^{\prime}(x)=3 x^2-2 \\&\end{aligned}$$[/tex]
Now finding tangent for a=-1,
[tex]\begin{aligned}& y=f^{\prime}(a)(x-a)+f(a) \\& y=f^{\prime}(-1)(x+1)+f(-1) \\& y=\left(3(-1)^2-2\right)(x+1)+(-1)^3-2(-1) \\& \mathbf{y}=\mathbf{x}+\mathbf{2}\end{aligned}$$[/tex]
For the first area,
[tex]$$\begin{aligned}& A_1: \int_{-2}^{-\sqrt{2}} x+2 d x=\frac{1}{2} x^2+\left.2 x\right|_{-2} ^{-\sqrt{2}} \\& A_1=\frac{1}{2}(-\sqrt{2})^2+2(-\sqrt{2})-\left(\frac{1}{2}(-2)^2+2(-2)\right) \\& A_1=\mathbf{3}-\mathbf{2} \sqrt{\mathbf{2}} \text { squared units } \\& \mathbf{A}_{\mathbf{1}} \approx \mathbf{0 . 1 7 1 5 7 2 8 7 6} \ldots\end{aligned}$$[/tex]
For the second area,
[tex]$$\begin{aligned}& A_2: \int_{-\sqrt{2}}^{-1} x+2-\left(x^3-2 x\right) d x=-\frac{1}{4} x^4+\frac{3}{2} x^2+\left.2 x\right|_{-\sqrt{2}} ^{-1} \\& A_2=-\frac{1}{4}(-1)^4+\frac{3}{2}(-1)^2+2(-1)-\left(-\frac{1}{4}(-\sqrt{2})^4+\frac{3}{2}(-\sqrt{2})^2+2(-\sqrt{2})\right) \\& A_2=-\frac{\mathbf{1 1}}{\mathbf{4}}+\mathbf{2} \sqrt{\mathbf{2}} \text { squared units } \\& \mathbf{A}_{\mathbf{2}} \approx \mathbf{0 . 0 7 8 4 2 7 1 2 4} \ldots .\end{aligned}$$[/tex]
Hence, required area is
[tex]$$\begin{aligned}& A=A_1+A_2 \\& A=3-2 \sqrt{2}-\frac{11}{4}+2 \sqrt{2} \\& \mathbf{A}=\frac{\mathbf{1}}{\mathbf{4}}=\mathbf{0 . 2 5}\end{aligned}$$[/tex]
The area is 0.25
To know more about tangent visit:
brainly.com/question/10053881
#SPJ4
there are 250 bricks used to build a wall that is 15 ft high. how many bricks will be used to bui;d a wall that is 75 ft high
If 250 bricks are used to build a wall of 15 ft high then, there is total 1250 bricks will be used to build a wall that is 75 ft high.
Proportion:
A proportion is an equation between two ratios or rates that is useful in solving for a single unknown.
We have given that,
It takes 250 bricks to build a 15 ft high wall. Let us consider x bricks , is needed for a 75 ft high wall, use the ratio given for a 15 ft high wall and equate it to the ratio for the unknown number of bricks for a 75-ft high wall.
In making proportions, make sure that the rate on one side has the same units as the rate on the other as shown :
x/75 = 250/15
=> 15 × x = 250 ×75
=> x = 250×75/15
=> x = 1250
Thus, it will take 1250 bricks to build a wall 75 feet high.
To learn more about proportion , refer:
https://brainly.com/question/3371568
#SPJ4
Solve - x/3 > 5
A. x≤-15
B. x2 -15
C. x ≥ 15
D. x≤ 15
Answer:
d
Step-by-step explanation:
-x/3<5
-x< 5x3
-x<15
(there is an assumed 1 in front of the x)
-1x<15
x/-1<15* -1
x>-15
sign switches when we deal with negative values mutiplying and dividing
hope this helped<3
can someone help me with making the x the subject of the formula
100 point up for grabs pls helpppp
y =xa+ b
y =xa− b
y =x + 2 divided by two
Answer:
[tex]\textsf{1)} \quad x=\dfrac{y-b}{a}[/tex]
[tex]\textsf{2)} \quad x=\dfrac{y+b}{a}[/tex]
[tex]\textsf{3)} \quad x=2y-2[/tex]
Step-by-step explanation:
Question 1[tex]\boxed{\begin{aligned}&\textsf{Given}: \quad &y & =xa+b\\\\&\textsf{Subtract $b$ from both sides}: \quad & y-b&=xa+b-b \\\\&\textsf{Simplify}: \quad &y-b&=xa \\\\&\textsf{Divide both sides by $a$}: \quad &\dfrac{y-b}{a} &=\dfrac{xa}{a} \\\\&\textsf{Simplify}: \quad &\dfrac{y-b}{a} &=x\\\\&\textsf{Switch sides}: \quad & x&=\dfrac{y-b}{a}\end{aligned}}[/tex]
Question 2[tex]\boxed{\begin{aligned}&\textsf{Given}: \quad &y & =xa-b\\\\&\textsf{Add $b$ to both sides}: \quad & y+b&=xa-b+b \\\\&\textsf{Simplify}: \quad &y+b&=xa \\\\&\textsf{Divide both sides by $a$}: \quad &\dfrac{y+b}{a} &=\dfrac{xa}{a} \\\\&\textsf{Simplify}: \quad &\dfrac{y+b}{a} &=x\\\\&\textsf{Switch sides}: \quad & x&=\dfrac{y+b}{a}\end{aligned}}[/tex]
Question 3[tex]\boxed{\begin{aligned}&\textsf{Given}: \quad & y&=\dfrac{x+2}{2} \\\\&\textsf{Multiply both sides by $2$}: \quad & 2 \cdot y&=2 \cdot \dfrac{x+2}{2} \\\\&\textsf{Simplify}: \quad & 2y&=x+2 \\\\&\textsf{Subtract $2$ from both sides}: \quad & 2y-2&=x+2-2 \\\\&\textsf{Simplify}: \quad & 2y-2&=x \\\\&\textsf{Switch sides}: \quad &x&=2y-2\end{aligned}}[/tex]
what is the height of the flag pole?
Answer:
x = 135
Step-by-step explanation:
the 2 situations are similar with ratios of corresponding sides in proportion , that is
[tex]\frac{x}{54}[/tex] = [tex]\frac{90}{36}[/tex] ( cross- multiply )
36x = 54 × 90 = 4860 ( divide both sides by 36 )
x = 135
FOR 50 POINTS AND BRAINLIEST!!
Directions: Determine the domain, range, and tell if the graph is a function or not
Answer:
Domain: (-∞, 1) ∪ (1, ∞)
Range: (-∞, -2) ∪ (2, ∞)
Yes, it's a function.
Step-by-step explanation:
Information
An open circle indicates the value is not included in the interval.A closed circle indicates the value is included in the interval.An arrow shows that the function continues indefinitely in that direction.DomainThe domain of a function is the set of all possible input values (x-values).
From inspection of the given graph:
There is an open circle at (1, 2) and (1, -2).The arrows show that the x-values continue indefinitely towards -∞ and ∞.Therefore, the domain is all values of x except x = 1:
Interval notation: (-∞, 1) ∪ (1, ∞)RangeThe range of a function is the set of all possible output values (y-values).
From inspection of the given graph:
There is an open circle at (1, 2) and (1, -2) so the range does not include any values of y between (and including) -2 and 2.The arrows show that the y-values continue indefinitely towards -∞ and ∞.Therefore, the range is all values of y except between -2 and 2:
Interval notation: (-∞, -2) ∪ (2, ∞)FunctionsA function is a special type of relationship where each input (x-value) is related to exactly one output (y-value).
From inspection of the graph, as the two points where x = 1 are not included, each value in the range (y-values) corresponds to exactly one value in the domain, and so it is a one-to-one function.
HELP MEEEEEEEEEEEEEEEE PLEASEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = -2, y = (1/9)
x = -1, y = (1/3)
x = 0, y = 1
x = 1, y = 3
x = 2, y = 9
Graph B
Step-by-step explanation:
f(x) = 3ˣ
y = 3ˣ
1
y = 3⁽⁻²⁾ = ------
9
1
y = 3⁽⁻¹⁾ = -------
3
y = 3⁽⁰⁾ = 1
y = 3⁽¹⁾ = 3
y = 3⁽²⁾ = 9
I hope this helps!
anand packs 304 marbles into packets of 9 or 11 so that no marble is left. anand wants to maximize the number of bags with 9 marbles. how many bags does he need if there should be atleast one bag with 11 marbles
In order to maximize the number of bags with 9 balls he needs at least 32 bags.
9x + 11y = 304
To begin, solve for y so that you may graph it:
y = -9x/11 +304/11
Then look for the place where x has the largest possible value and x and y are both positive integers (keeping in mind that y1).
This is an important point (24,8). There are 24 bags of nine marbles and eight bags of eleven marbles.
Anand should put 9 marbles in 24 bags and 11 marbles in 8 bags, for a total of 32 bags.
Marble is a metamorphic rock made up of recrystallized carbonate minerals, the most common of which being calcite or dolomite. There are certain exceptions to the rule that marble is not foliated (layered).
To learn more about marble
brainly.com/question/9192639
#SPJ4
Mr. Alegria went to Chick-fil-A to buy lunch for the math teachers. One week, he purchased 3 chicken sandwiches and 2 orders of chicken nuggets for $17.96. The following week, he purchased 2 chicken sandwiches and 4 orders of chicken nuggets for $19.92. How much does he pay for one order of chicken nuggets and one chicken sandwich?
Taking into account the definition of a system of linear equations, the price of one order of chicken nuggets and one chicken sandwich is $2.98 and $4 respectively.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
A solution to a system is an assignment of values to the unknowns that makes each of the equations true. Solving a system means finding all the solutions of the system.
Price of one order of chicken nuggets and one chicken sandwichIn this case, a system of linear equations must be proposed taking into account that:
"x" is the price of one order of chicken nuggets."y" is the price of one chicken sandwich.You know:
One week, Mr. Alegria purchased 3 chicken sandwiches and 2 orders of chicken nuggets for $17.96. The following week, he purchased 2 chicken sandwiches and 4 orders of chicken nuggets for $19.92.The system of equations to be solved is
2x +3y= 17.96
4x + 2y= 19.92
It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "y" from the first equation:
3y= 17.96 -2x
y= (17.96 -2x)÷3
y= 17.96÷3 - 2÷3x
y= 449/75 - 2/3x
Substituting the expression in the second equation:
4x + 2×(449/75 - 2/3x)= 19.92
Solving:
4x + 2×449/75 - 2×2/3x= 19.92
4x + 898/75 - 4/3x= 19.92
4x - 4/3x= 19.92 - 898/75
8/3x= 596/75
x= 596/75÷ 8/3
x= 2.98
Remembering that y= 449/75 - 2/3x, you get:
y= 449/75 - 2/3×2.98
y= 4
Finally, the price of one order of chicken nuggets is $2.98 and the price of one chicken sandwich is $4.
Learn more about system of equations:
brainly.com/question/14323743
brainly.com/question/1365672
brainly.com/question/20533585
brainly.com/question/20379472
#SPJ1
a professor gave his students two exams.40% of the students passed both exams. 80% of the students passed the second exam.how many students (in percent) who passed the second exam also passed the first exam ?
The 50% of students who passed the second exam also passed the first exam.
The question is about Conditional Probability. Conditional probability is defined as the measure of the probability of event A given that event B has already occurred. It is denoted by P(A | B). Also, the formula for finding the conditional probability is given below:
P(A | B) = P(A ∩ B)/P(B) ....(1)
In the given question, We have the following information:
A = Students who passed both exams = 40% = 0.4
B = Students who passed only the second = 80% = 0.8
Now, Let
Probability of Students who passed the second exam and first exam = P (A | B) =?
We can find P(A | B) by putting the values of A and B in equation (1)
By putting values we get:
P (A | B) = [tex]=\frac{40\%}{80\%}[/tex] = [tex]\frac{0.4}{0.8}[/tex]
P (A| B) = 0.5 = 50%
So there are half or 50% of the students passed the second exam and also passed the first exam.
To learn more about Permutations, click here
brainly.com/question/29563435
#SPJ4
a) what are the key features of a graph’s exponential functions?
B: explain how you find each key feature and what happens to the graphs if you were to add and subtract a constant term
C: how do increasing linear functions and exponential growth functions compare? How does this increase compare or differ?
Answer:
Check below/above
Step-by-step explanation:
A) The graph passes through the point (0,1).
The domain is all real numbers.
The range is y>0.
B) it would be a linear equation that shifts the graph vertically.
C) the slope of an exponential function continues to increase, while the slope of a linear function stays the same.
( 3x^2 - 5x + 7) (2x^2 + 6x - 4) Try solving this one on your own first! What is the coefficient of the x3 term in the final polynomial? 8 -10 6 18
On solving the provided question, by multiplying the give polynomials, we got to know that - [tex]( 3x^2 - 5x + 7) X (2x^2 + 6x - 4)[/tex] = [tex]6x^4 + 8x^3 - 28x^2 + 62x - 28[/tex], the coefficient of x3 is 8
what are polynomials?An mathematical expression known as a polynomial requires that all of the variables' exponents be integers. Each polynomial variable's exponent must be an integer that is not negative. Although a polynomial is made up of a constant and a variable, it cannot be divided by a variable.
Given polynomials are -
[tex]( 3x^2 - 5x + 7) and (2x^2 + 6x - 4)[/tex]
By multiply the given polynomials, we got -
[tex]( 3x^2 - 5x + 7) X (2x^2 + 6x - 4)[/tex]
= [tex]6x^4 + 8x^3 - 28x^2 + 62x - 28[/tex]
So, the coefficient of x3 is 8
To know more about polynomials visit:
https://brainly.com/question/11536910
#SPJ1
I NEED HELP ASAP!!!!!!!!!!!!!!!!!!!
The area of the pyramid = 340 sq. inches
The area of a square pyramid= b^2+ 2.b.s
= 10^2 + 2*10*12
= 340 sq. inches
We can also find out the are by finding area of each sides
Area of square = 10*10 = 100 sq. inches
Area of triangle= 1/2( 12*10)
= 60
Area of four triangles = 4*60
= 240
Total surface area = 240+100
= 340 sq. inches
Hence the total surface area is 340 sq. inches
For further understanding please refer the following answer
https://www.mometrix.com/academy/volume-and-surface-area-of-a-pyramid/
Which numbers below are even? Check all that apply.
A. 5464
B. 1126
C. 9092
D. 6669
E. 4950
F. 6921
Answer: A, B, C, E
Step-by-step explanation: