Answer:
-60
Step-by-step explanation:
Factor the problem out using FOIL.
The end result is: −60\(x^{2}\)−84x+9
The value of coefficent a (the number in front of the x^2) is -60.
Write the inequality shown by the shaded region in the graph with the boundary line negative 5X plus 2Y equals -4
Given,
The expression is,
\(-5x+2y=-4\)As the line of the equation is shaded has
The shaded part is above the line,
So,
\(-5x+2y>-4\)Hence, the inequality is -5x+2y>-4.
Jack spent half of his weekly allowance on video games. To earn more money his parents let him wash the car for $6. What is his weekly allowance if he ended with $15? (do NOT use $ in your answer. Numbers only)
help please
Answer:
90 is your answer i hope this helps
Step-by-step explanation:
Evaluate the expression
27²
⁻⁻⁻⁻
27^4/3
Answer:
The answer is 9
Step-by-step explanation:
27^2 =729
729/27^4/3
Please help Brainliest
Answer:
Step-by-step explanation:
It is choice B.
If you notice the little square at the bottom of the angle, that means that the angle is ninety degrees.
So 5x+30 + 5x = 90
Hope that helps!
Can someone help me please
Answer:
AA similarity
Step-by-step explanation:
Respective angles of both triangles are 40°, 50° and 90°
AA similarity is the case:
If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.Can someone write the answer in complete sentences please?
In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD , while point E is the point of intersection between segment AG and segment DF.
picture is at the bottom
Prove ΔABC ∼ ΔGEF. (10 points)
Answer:
Statements: Reason:
ΔABC is congruent to ΔDEF : Given
Angle ACB is congruent to angle ECG : Vertical angles
Angle CEG is congruent to angle DEF : Vertical angles
Angle DEF is congruent to angle ABC : Definition of congruent triangles
Angle CEG is congruent to angle ABC : Substitution property of equality
ΔABC is similar to Δ GEC : AA Similarity
1. Determine the volume of one balloon (sphere with radius r ) using the following equation (volume of a sphere) to find V: V=
3
4
πr
3
2. One cubic centimeter of helium will lift about 0.0009958736 grams, so 9.958736
∗
10
∧
−7
∗
V gives us how many kg one balloon can lift. 3. We want to find how many balloons are needed, so given an object's weight M, we get the number of balloons needed by the following equation: =N=1.0+M/(V∗9.958736
∗
10
∧
−7) - *Note: You need to add 1.0 because we are calculating full balloons, not partial balloons. Make a program that calculates how many helium balloons are needed to lift an object (i.e. calculate N). The program asks users to enter two numbers: 1. The average radius the balloons r (in cm ) 2. The weight of the object being lifted M (in kg ). After calculating N, display the calculated volume V for one balloon ( cm/3 ), followed by the number of balloons needed to lift the object (N). Finally display the total volume of all the balloons (N
∗
V). You may need to use the cmath library to properly represent the equations. Note that there are many tools available through the cmath library including π,sin,cos, pow, and sqrt. Note: we will use test cases to assist in grading the homework. Please ensure that you follow the format below to make sure that the grading scripts pass.
The program calculates the number of helium balloons needed to lift an object based on its weight by formulas for the volume of a sphere, the lifting capacity of helium, and the number of balloons required.
To calculate the number of helium balloons needed to lift an object, we can use the given equations. First, we find the volume of one balloon using the formula for the volume of a sphere: V = (3/4)πr^3, where r is the average radius of the balloons. Next, we determine how many kilograms one balloon can lift by multiplying the volume (V) by the conversion factor 9.958736 * 10^-7.
To find the number of balloons needed (N) to lift an object with weight M, we use the equation N = 1.0 + M / (V * 9.958736 * 10^-7). It is important to add 1.0 to account for the calculation of full balloons, rather than partial balloons.
In summary, the program will prompt the user to enter the average radius of the balloons (in cm) and the weight of the object being lifted (in kg). It will then calculate the volume of one balloon (V) in cm^3 using the sphere volume formula. The program will display V and the number of balloons needed (N) to lift the object. Finally, it will show the total volume of all the balloons by multiplying N and V.
The program utilizes the given formulas to determine the number of helium balloons required to lift a given object based on its weight, providing the necessary output for each step of the calculation.
Learn more about volume here:
https://brainly.com/question/16686115
#SPJ11
The sum of a number and its reciprocal is 25/12. Find the number.
After solving the equation, the number obtained is 4/3 and its reciprocal will be 3/4.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the data mentioned in the question,
Let the number be x.
Then the sum and reciprocal of the number is 25/12.
So, the equation will be,
x + 1/x = 25/12
(x² + 1)/x = 25/12
12x² + 12 = 25x or,
12x² - 25x + 12 = 0
Now, find the roots:
D = b² - 4ac
(-25)² - 4× 12× 12
D = 49
Then,
-(b ± √D)/2a
(25 ± 7)/24
So, the roots are,
(25 + 7)/24 = 4/3 and,
(25 - 7)/24 = 3/4
Then, the number is 4/3 and its reciprocal is 3/4.
To know more about arithmetic operations:
https://brainly.com/question/25277954
#SPJ1
Una casa de ropa tiene todos sus artículos en liquidación por cambio de temporada. El cartel de la puerta dice: 20% de descuento. Cuánto tendrá que pagar una persona que gastó $3500? Y alguien que gastó $8000
Answer:
$2,800 and $6,400
Step-by-step explanation:
Aquí, sabemos que hay un 20% de descuento en compras.
Entonces, para una persona que compró cosas por valor de $ 3,500, el monto que debe pagar será; 20/100 * 3500 = $ 700
Entonces, la cantidad a pagar = 3500-700 = $ 2,800
Para la persona que compró $ 8000, monto a pagar = 20/100 * 8,000 = $ 1,600
Cantidad a pagar = 8000-1600 = 6400
4x = -12.
What is x?
Answer:
x=-3
Step-by-step explanation:
x=-12/4 divide both sides by 4
Answer:
x = -3
Step-by-step explanation:
Let's solve your equation step-by-step.
4x=−12
Step 1: Divide both sides by 4.
4x/4 = -12/4
x=−3
how do you rewrite a expression using the base number only once?
ex. 5^(-2)*5^(-4)*5^(8)
Answer:
5
Step-by-step explanation:
Answer:
Rewrite the expression= 5^2
Step-by-step explanation:
With the same base number of 5, one adds the exponents.
In this case 5^-2*5^-4*5^8 8-6=2 as the exponent
Part 1 Let us recall that we have denoted the force exerted by block 1 on block 2 by F12. and the force exerted by block 2 on block 1 by F. If we suppose that m1 is greater than m2, which of the following statements about forces is true? |F12| > F31 |F > F12| Both forces have equal magnitudes. Submit Part 1 Now recall the expression for the time derivative of the x component of the system's total momentum: dp. (t)/dt = F. Considering the information that you now have, choose the best alternative for an equivalent expression to dp (t)/dt 0 nonzero constant kt kt2
Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.
What is polynomial?
A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.
Here,
When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.
This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.
To know more about polynomials,
brainly.com/question/11536910
#SPJ1
Can someone please explain how to solve it??
Answer:
this is answer ️️️️️️
4 divided by 5/9 = easy question big points lol
Answer:
7 1/5 or 7.2
Step-by-step explanation:
Thx for points
HELP ASP ON KITCHEN MATH !!!
Shortbread Cookies Makes about 3 dozen cookies 3/4 shortening 1/2 t salt 9/4 granulated sugar I 1/2 t baking soda 1/4 eggs 2 c. cake flour 1/2 vanilla extract food coloring 1/4 butter flavoring
How to make 1 1/2 dozen cookies?
Answer:
3/8 shortening
1/4 salt
1 1/8 granulated sugar
1/4 baking soda (or 3/4 if that is 1 1/2 t from the original recipe)
1/8 eggs
1 c cake flour
1/4 vanilla extract
food coloring
1/8 butter flavoring
Adrian bought a car worth $12000 on 36 easy installments of $375. Answer the following questions. (1) How much total amount did Adrian pay in 36 months? Answer: Total payment A = $ (2) Identify the letters used in the simple interest formula I = Prt. I= $ P= $ and t years. (3) Find the rate of interest in percentage. Answer: r %. ASK YOUR TEACHER
3) since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.
(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:
Total payment A = Monthly installment * Number of installments
= $375 * 36
= $13,500
Therefore, Adrian paid a total of $13,500 over the course of 36 months.
(2) In the simple interest formula I = Prt, the letters used represent the following variables:
I: Interest (the amount of interest paid)
P: Principal (the initial amount, or in this case, the car worth)
r: Rate of interest (expressed as a decimal)
t: Time (in years)
(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:
r = (I / Pt) * 100
To know more about Number visit:
brainly.com/question/3589540
#SPJ11
Which expresses the correct factorization
of….? look at pic
Answer:
Option 1
Step-by-step explanation:
Find 2 numbers that multiply to give 16 and sum to give +8 :
These numbers are 4 and 4
Now split +8x into +4x and +4x and factor each part :
x²+4x+4x+16 = 0
x(x+4)+4(x+4) = 0
Keep 1 bracket and the terms outside the brackets make their own :
(x+4)(x+4) = 0
(x+4)² = 0
Therefore answer will be Option 1
Hope this helped and have a good day
The probability of winning on an arcade game is 0.659. if you play the arcade game 30 times. What is the probability of winning exactly 21 times?
The probability of winning exactly 21 times is 0.14
What is Binomial Probability?Binomial probability refers to the probability of exactly 'x' successes on 'n' repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).
Probability 'P' = ⁿCₓ (probability of 1st)ˣ x (1 - probability of 1st)ⁿ⁻ˣ
For example:
What is the probability of getting 6 heads, when you toss a coin 10 times?
In a coin-toss experiment, there are two outcomes: heads and tails. Assuming the coin is fair , the probability of getting a head is 1/2 or 0.5 .
The number of repeated trials: n=10
The number of success trials: x = 6
The probability of success on individual trial: p = 0.5
Use the formula for binomial probability.
¹⁰C₆ (0.5)⁶ x (1 - 0.5)¹⁰⁻⁶
Simplify.
≈0.205
Here, we have given that:
Probability of winning on an arcade game is 0.659
so, Probability of loosing on an arcade game is 1-0.659 = 0.341
Number of times game played = 30
Probability of winning exactly 21 times = ?
now, n = 30
x = 21
probability of 1st or probability of winning = 0.659
1 - probability of 1st or probability of loosing = 0.341
using, binomial probability formula
Probability of winning exactly 21 times = ³⁰C₂₁ (0.659)²¹ x (0.341)⁷
on solving,
Probability of winning exactly 21 times = 0.14
Hence,
The probability of winning exactly 21 times is 0.14
Learn more about " Binomial Probability " from here: https://brainly.com/question/12474772
#SPJ4
The probability of winning exactly 21 times is 0.14 when the probability of winning the arcade game is 0.659.
We know that binomial probability is given by:
Probability (P) = ⁿCₓ (probability of 1st)ˣ x (1 - probability of 1st)ⁿ⁻ˣ
We are given that:
Probability of winning on an arcade game = P(A) = 0.659
So, the Probability of loosing on an arcade game will be = P'(A) = 1 - 0.659 = 0.341
Number of times the game is being played = 30
We have to find the Probability of winning exactly 21 times.
Here,
n = 30
x = 21
P(A) = 0.659
P'(A) = 0.341
Using the binomial probability formula, we get that:
Probability of winning exactly 21 times :
P(21 times) = ³⁰C₂₁ (0.659)²¹ x (0.341)⁷
P( 21 times ) = 0.14
Therefore, the probability of winning exactly 21 times is 0.14
Learn more about " Binomial Probability " here: brainly.com/question/12474772
#SPJ4
39. Senate Committee The U.S. Senate Committee on Homeland Security and Governmental Affairs has 15 members. Two members are chosen to serve as the committee chair and the ranking member. Each committee member is equally likely to serve in either of these positions. What is the probability of randomly selecting the chair and the ranking member
The probability of randomly selecting the chair and the ranking member is 1/105 or approximately 0.0095.
There are 15 members of the Senate Committee on Homeland Security and Governmental Affairs, two of whom are selected to serve as the committee chair and ranking member. Each member is equally likely to be chosen for either of these positions.
To begin, we must first determine the total number of ways two members can be selected from a committee of 15. This is calculated using the combination formula:
nCr = (n!)/((r!)(n-r)!)where n = 15 and r = 2.
Thus,
nC2 = (15!)/((2!)(15-2)!)
nC2 = (15x14)/(2x1)nC2
= 105
Now we must determine the probability of selecting one member to be the committee chair and the other to be the ranking member.
This is calculated as follows: P = 1/105 or approximately 0.0095. Hence, the probability of randomly selecting the chair and ranking member is 1/105 or approximately 0.0095.
To know more about probability visit:-
https://brainly.com/question/31828911
#SPJ11
Sarah and her children went into a movie theater where they sell bags of popcorn for $7.50 each and drinks for $4.50 each. Sarah has $90 to spend and must buy a minimum of 16 bags of popcorn and drinks altogether. If xx represents the number of bags of popcorn purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
A possible solution is she should by 6 bags of popcorn and 10 drinks
Step-by-step explanation:
The price of each bag of popcorn = $7.50
The price of each drink = $4.50
The amount Sarah has to spend = $90
The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks
Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y
Therefore, we have;
x + y ≥ 16.....(1)
x × 7.5 + y × 4.5 ≤ 90
Which gives;
7.5·x + 4.5·y ≤ 90....(2)
Rewriting the inequalities as a function of y, gives;
From inequality (1), x + y ≥ 16, we have;
y = ≥ 16 - x
From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;
7.5·x + 4.5·y ≤ 90
4.5·y ≤ 90 - 7.5·x
y ≤ 90/4.5 - 7.5/4.5·x
y ≤ 20 - 5/3·x
Please find attached, the plot of the inequalities
A possible solution is given as the value of x = 6, where y = 10
Therefore, she should by 6 bags of popcorn and 10 drinks.
Convert 16 kilometers into feet. Round your answer to the nearest whole number.
16 kilometers = 52493.4 feet
Formula: multiply the value in kilometers by the conversion factor '3280.8398950125'.
So, 16 kilometers = 16 × 3280.8398950125 = 52493.4383202 feet.
Factoring Greatest Common Monomial Factor - write your answer and solution
Answer:
4x²y² (2x²y² - 7xy + 1)
Step-by-step explanation:
8\(x^{4}\)\(y^{4}\) - 28x³y³ + 4x²y² ← factor out 4x²y² from each term
= 4x²y² (2x²y² - 7xy + 1)
Can someone please check my answer
Answer: That looks right to me
Step-by-step explanation:
What are the answers to these questions
Answer:
135°
Step-by-step explanation:
You want QRT. So if you look at it you have a straight line, which equals 180°. you already have an angle at 45° so all you do is 180-45 and that equals 135°
The average number of acres burned by forest and range fires in a large New Mexico county is 4,300 acres per year, with a standard deviation of 750 acres. The distribution of the number of acres burned is normal. What is the probability that between 2,500 and 4,200 acres will be burned in any given year
Answer:
The probability that between 2,500 and 4,200 acres will be burned in any given year is 0.4345.
the interquartile range (iqr) is a measure of the ____________ of the middle ____________ percent of the data.
The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.
The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.
The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.
By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.
Learn more about interquartile range here:
https://brainly.com/question/29173399
#SPJ11
The original triangle shown in the
diagram above is reflected across the
y-axis. In which quadrant is the image
of the triangle located?
Answer:
i think (2,2)
Step-by-step explanation:
Answer: Quadrant #2 The one of the upper left corner
Step-by-step explanation:
If you reflect across the y-axis the x coordinate's become negative but the y-coordinates stay positive
so if you reflect it over the y-axis the coordinate's would be
(-4, 1), (-2, 2), (-3, 4)
who can help me please ?
Evaluate 8 + X - 3 when x = 5
Answer:
x = 10
Step-by-step explanation:
8 + X - 3
Let x = 5
8+5-3
13-3
10
Consider the following three systems of linear equations. System A System B System C 11 x= -44 [B1] x=-4 [C1] - 7x- 6y= 10 [A1] 6x+2y=- 18 [A2] 6x + 2y=-18 [B2] 6x +2y=-18 [C2] Answer the questions below. For each, choose the transformation and then fill in the blank with the correct number. The arrow ( - ) means the expression on the left becomes the expression on the right. How do we transform System A into System B? O X Equation [A1] → Equation [B1] Х ? 1 x Equation [A2] → Equation [B2] * Equation [A1] + Equation [A2] → Equation [B2] 1 x Equation [A2] + Equation [A1] → Equation [31] How do we transform System B into System C? 1 x Equation (B1] Equation (C1] X Equation [B2] → Equation (C2] 1 x Equation [31] + Equation [B2] → Equation (C2] * Equation [B2] + Equation [31] → Equation [21]
The correct transformations:
1) 3 x Equation [A2] + Equation [A1] → Equation [B1]
2). 1/11 x Equation [B1} → Equation [C1]
The correct options are D and A respectively.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.
Given:
We have three systems of linear equations.
To transform system A into system B:
Multiply 3 to the equation A2 and then add to equation A1,
we get,
-7x +18x -6y + 6y = 10- 54
11x = -44
equation B1.
To transform system B into system C:
Multiply 1/11 to equation B1,
we get,
x = -4
equation C1.
Therefore, the transformations are given above.
To learn more about the system of equations;
brainly.com/question/13729904
#SPJ1