Answer:
$1761
Step-by-step explanation:
9*5=45
36.80*45=1656
21*5=105
1656+105=1761
PLEAZE HELPP 50 POINTS If the function f(x) =-3x3 +7x represents the movement of a whale in meters what is the average rate of change of the whale for x=1 and X=3 seconds label your answer
Answer:
The average rate of change of a function over an interval is found by taking the difference between the function's values at the endpoints of the interval and dividing by the length of the interval. In this case, we have:
f(1) = -3(1)^3 + 7(1) = -3 + 7 = 4
f(3) = -3(3)^3 + 7(3) = -27 + 21 = -6
The average rate of change over the interval from x=1 to x=3 is therefore (-6 - 4) / (3 - 1) = -10 / 2 = -5.
To label your answer, you could write something like: "The average rate of change of the whale's movement over the interval from x=1 to x=3 seconds is -5 meters/second."
48[3+15÷{4+10÷(3-13)}] help me to solve this...!
Answer:
Step-by-step explanation:
48[3+15÷{4+10÷(3-13)}]
=48[ 3+15%{4+10%(-10)}]
=48[3+15%{4-1}]
=48[3+15%3]
=48[3+5]
=48*8
=384
Kendricks Kennel has 2 spots for cats for every 7 spots for dongs. If he has a total of 144 spots for both cats and dogs, how many more spots does he have for dogs than cats
Describe a situation by using the rational number you just wrote. The number I put is 2 and 0 can u help me pls?
Answer: Some of the examples of rational number are 1/2, 1/5, 3/4, and so on. The number “0” is also a rational number, as we can represent it in many forms such as 0/1, 0/2, 0/3, etc. But, 1/0, 2/0, 3/0, etc. are not rational, since they give us infinite values.
Step-by-step explanation:
Solve for m.
5m+72=−2m+52
Drag and drop the answer into the box.
A. -1
B. -1/7
C.6/7
D.7
Answer: I tried it and my answer was not an option, I got -1/3 sorry
Step-by-step explanation:
I got -20/7. I am sorry .
What is the solution set to the following quadratic?
x² + 7x+6=0
O {-6,0}
O {1,6}
O {0,6}
O {-6, -1}
Answer:
x=-1, -6
Step-by-step explanation:
x^2+7x+6=0
factor
(x+1)(x+6)=0
x+1=0, x+6=0
x=0-1=-1
x=0-6=-6
I NEED THE ANSWER ASAP PLEASE
A small dog gets fed 3/4 cups of dog food twice a day. Using d for the number of days and f for the amount of food in cups, write an equation relating the variables. Use the equation to find how many days a large bag of dog food will last if it contains 210 cups of food.
Answer:
f=1.5⋅d or equivalent. The bag will last 140 days since 210÷1.5=140.
Step-by-step explanation:
What is the product?
Answer:
B
Step-by-step explanation:
3•(-6)=-18
3•(-11)=-33
3•(-14)=-42
3•(-9)=-27
Answer:
B. [ -18 -33]
[ -42 -27]
you have to distribute the x3 to all four numbers in the matrix
Rhetorical algebra has never really gone away. In a 19th century school notebook, for example, one finds the following rule for computing the area of a triangle: From half the sum of the three sides subtract each side severally, multiply the half sum and the three remainders continually together and the square root of the last product will be the area of the triangle.
Rhetorical algebra has never really gone away, as evidenced by a 19th century school notebook that includes a rule for computing the area of a triangle using algebraic operations.
The quote highlights the fact that algebraic methods for solving problems have been around for centuries and continue to be used in modern mathematics. The rule provided demonstrates the use of algebraic operations such as addition, subtraction, multiplication, and the square root function to arrive at a solution for the area of a triangle. This underscores the enduring importance of algebra in mathematical problem-solving and the relevance of historical approaches to modern mathematical education.
The inclusion of a rule for computing the area of a triangle in a 19th century school notebook is evidence that rhetorical algebra has never really gone away. Rhetorical algebra refers to the use of words and symbols to express mathematical ideas and solve problems, and has been an important tool in mathematics for centuries.
The rule provided for computing the area of a triangle involves several algebraic operations, including addition, subtraction, multiplication, and the square root function. The process involves taking half the sum of the three sides of the triangle, subtracting each side severally, multiplying the half sum and the three remainders continually together, and taking the square root of the last product to arrive at the area of the triangle. This rule demonstrates the use of rhetorical algebra to solve a geometric problem, and underscores the enduring importance of algebra in mathematical problem-solving.
Furthermore, the inclusion of this rule in a 19th century school notebook highlights the relevance of historical approaches to modern mathematical education. While the specific methods used in rhetorical algebra may have evolved over time, the underlying principles and problem-solving strategies remain relevant to this day. As such, the study of rhetorical algebra can provide valuable insights into the development of mathematical thought and the historical context in which mathematical ideas have been developed and applied.
In conclusion, the inclusion of a rule for computing the area of a triangle in a 19th century school notebook serves as a reminder of the enduring importance of rhetorical algebra in mathematical problem-solving. This example highlights the use of algebraic operations such as addition, subtraction, multiplication, and the square root function to arrive at a solution for a geometric problem, and underscores the relevance of historical approaches to modern mathematical education.
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If I have the coordinates (4, 3) and (2, 2) what is distance do we get
Need help only right answer
Answer:
Step-by-step explanation:
what kind of triangle is △ABC? Select all that apply.
A 2-dimensional graph with an x-axis and a y-axis is given. A triangle ABC is drawn on it with co-ordinates (2,1), (4,7) and (6,3) respectively.
The toe of which the triangle is , is called an isosceles triangle and a right angled triangle.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. There are different types of triangle , some of them are ;
Scalene triangle, isosceles triangle , equilateral triangle e.tc.
To know the type of triangle it is, we need to find the length of each sides.
let A = (2,1)
B = (4,7)
C = ( 6,3)
AB = √ (4-2)²+ (7-1)²
AB = √ 2²+ 6²
AB = √2+36
AB = √40
= 2√10
BC = √ (6-4)²+( 3-7)²
BC = √ 2²+4²
BC = √4+16
BC = √20
= 2√5
AC = √ (6-2)²+(3-1)²
AC = √4²+2²
AC =√ 16+2
AC = √20
= 2√5
therefore since AB² = BC² + AC ² ,the triangle is a right angled triangle
And also since two sides of the triangle are equal it is an isosceles triangle.
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Suponga que le piden averiguar cuán alto es un poste de luz, su mejor
momento es durante la tarde en un día soleado, si la única herramienta
que tiene es una cinta métrica de 5m ¿cómo haría para saber con la
mayor exactitud posible el tamaño del poste?
Answer:
gtdnuf fjgdyj gudchu hfvhd gjsjck
grixbedfb hvdb kgtd kggyan samera hhgv bcc
Solve for a.
−10=2a−4
a=−7
a=−3
a = 3
a = 7
plz help
Answer:
the answer is -3
Step-by-step explanation:
1. add the -4 to 10 (-10 + 4)
2. -6= 2a
3. divide both sides by 2
4. -3= a
hope this helps
please help asap
ty :)
Answer:
y = 3x + 6
Step-by-step explanation:
Since the line is parallel, it has the same slope -- 3
y = 3x + b, sub point (1, 9)
9 = 3(1) + b
9 = 3 + b
b = 9 - 3
b = 6
y = 3x + b -- y = 3x + 6
Solve x2 – 5x – 24 = 0 by completing the square.Question 13 options:A) x = 6 and x = –4B) x = 3 and x = –8C) x = –3 and x = 8D) x = –6 and x = –4
Given:
\(x^2-5x-24=0\)First, let us keep the x terms on the left side and move the constant to the right side of the equation through adding 24 on both sides.
\(x^2-5x-24+24=0+24\)\(x^2-5x=24\)Next, we will take the half of the x term, 5x, and square it.
\((\frac{5}{2})^2=\frac{25}{4}\)And then, we will add this to both sides of the equation.
\(x^2-5x+\frac{25}{4}=24+\frac{25}{4}\)Then, we will rewrite the left side of the equation as a perfect square
\((x-\frac{5}{2})^2=\frac{121}{4}\)Take the square root of both sides
\(\sqrt[]{(x-\frac{5}{2})^2}=\sqrt[]{\frac{121}{4}}\)\(x-\frac{5}{2}=\pm\frac{11}{2}\)Solve for x (1)
\(x=\frac{5}{2}+\frac{11}{2}\)\(x=\frac{16}{2}\)\(x=8\)Solve for x (2)
\(x=\frac{5}{2}-\frac{11}{2}\)\(x=\frac{-6}{2}\)\(x=-3\)Now, we know that the values of x are -3 and 8, therefore, the answer would be C. x=-3 and x=8.
a blueprint of a house has a scale in which one inch represents four and a half feet if a living room wall measures seven and one eighth inches on the drawing what is the actual length of the wall
Scales on a wall, change of units conversion
1 inch = 4 1/2 feets
7 1/8 inches = ?
First convert to fractions
(4 + 1/2) • ( 7 + 1/8) =
apply distributive law ( a+b)•(c+d)= ac + ad + bc + bd
then length of wall= 4•7 + 4/8 + 7/2 + 1/16
= 28 + 8/16 + 56/16 + 1/16
= 28 + 64/16 + 1/16
= 28 + 4 + 1/16
= 32 + 1/16
lenght is 32 and 1/16 feet
PLEASE HELP ASAP ON ALL THE PARTS!!! suppose there is a card game where you are dealt a hand of three cards. you have already learned that the total number of three card hands that can be dealt from a deck of 52 cards is:
Answer:
A. The total number of three-card hands (permutations) that can be made with two aces is 576
B. The actual number of two-ace hands (combinations) you can get from a deck of 52 cards is 288
C. The probability of drawing a three-card hand that includes two aces from a deck of 52 cards is 0.0130
Step-by-step explanation:
A. In order to calculate the total number of three-card hands (permutations) that can be made with two aces we would have to make the following calculation:
total number of three-card hands (permutations) that can be made with two aces=4*3*52
total number of three-card hands (permutations) that can be made with two aces=576.
B. In order to calculate the actual number of two-ace hands (combinations) you can get from a deck of 52 cards we would have to make the following calculation:
actual number of two-ace hands (combinations) you can get from a deck of 52 cards=4C2*48
4C2=4!/2!2!
C2=6
Therefore, actual number of two-ace hands (combinations) you can get from a deck of 52 cards=6*48=288
C. In order to calculate the probability of drawing a three-card hand that includes two aces from a deck of 52 cards we would have to make the following calculation:
probability of drawing a three-card hand that includes two aces from a deck of 52 cards=actual number of two-ace hands (combinations) you can get from a deck of 52 cards/52C3
probability of drawing a three-card hand that includes two aces from a deck of 52 cards=288/22,100
probability of drawing a three-card hand that includes two aces from a deck of 52 cards=0.0130
Find each angle measure. SEE EXAMPLE 3
19. m21
20. m22
2.
123°
1
SOWAT
Step-by-step explanation:
as , sum of both the angles on the same side of transversal is 180°
so,
Angle 2 + angle 5 = 180°
123° + angle 2 = 180°
Angle 2 = 180° - 123° = 57°
angle 2 = 57°
and
angle 1 = 123° ( Alternate Interior Angle )
hope this answer helps you dear...take care!
Simplify the expression.
: 8 - 2(3)
Answer: the answer is just 2
In the Florida Lottery Cash4Life game a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. He will win the jackpot of $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. He will win $1000 a week for life if just all 5 numbers match the winning numbers. Assuming that the numbers are equally likely to be
drawn, determine:
(a) (5) The probability that the player will $1000 a day for life;
(b) (5) The probability that the player will $1000 a week for life;
The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).
In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)
(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).
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Luke bought a new jacket using a 10% off coupon. He paid $12.93 total, which inclues $1.43 in tax.
Answer:
($14.37 was the original price)
Step-by-step explanation:
how much variance between two variables has been explained by a correlation of .9?
A correlation of .9 indicates that 81% of the variance between two variables has been explained.
Correlation measures the strength of the relationship between two variables. A perfect positive correlation is 1.0, indicating that the two variables move in the same direction together. A perfect negative correlation is -1.0, indicating that the two variables move in opposite directions. A correlation of 0 indicates no relationship between the two variables.
To determine the proportion of variance explained by a correlation, you need to square the correlation coefficient (in this case, 0.9). This is called the coefficient of determination (R^2). So, you calculate:
R^2 = (0.9)^2 = 0.81
Thus, a correlation of 0.9 explains 81% of the variance between the two variables.
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Solve the system of equations and wright your answer as an ordered pair -5/4x-5/4y =25/41/5x+4/5y=1/5
(-7, 2)
STEP - BY - STEP EXPLANATION
What to find?
The solution to the given the system of equations .
Given:
\(\begin{gathered} -\frac{5}{4}x-\frac{5}{4}y=\frac{25}{4} \\ \\ \frac{1}{5}x+\frac{4}{5}y=\frac{1}{5} \end{gathered}\)To solve the above system of equations, we will follow the steps below:
Step 1:
Multiply through equation (1) by 4
\(-5x-5y=25\text{ ----------------------(2)}\)Step 2
Multiply through the second equation by 5.
\(x+4y=1\text{ -------------------------(3)}\)Step 3
Using substitution method to solve.
Make x the subject of formular.
\(x=1-4y-------------------(4)\)Step 4
Substitute equation(4) into equation (2).
\(-5(1-4y)-5y=25\)Step 5
Open the parenthesis.
\(-5+20y-5y=25\)Step 6
Collect like term.
\(\begin{gathered} 20y-5y=25+5 \\ 15y=30 \end{gathered}\)Step 7
Divide both-side of the equation by 15.
\(\begin{gathered} \frac{15y}{15}=\frac{30}{15} \\ \\ y=2 \end{gathered}\)Step 8
Substitute y=2 into equation (4) to determine the value of x.
\(\begin{gathered} x=1-4(2) \\ =1-8 \\ =-7 \end{gathered}\)Hence, x =-7 and y=2.
Therefore, the solution in ordered pair is (-7, 2)
What is the equation of the line that has a slope of 5 and passes through the point (-4, 10)? * (20 Points)
IF YOU GET THE ANSWER RIGHT I WILL GIVE YOU 25 points
Answer:
Step-by-step explanation:
Answer:
1. 25%
2. 50%
3. 25%
Step-by-step explanation:
Setup: On top of the punnet square you would put a capital "S" in the first and lowercase "s" in the second. To the left of the punnet square, the capital "S" would be at the top and the lower case "s" would be below.
The top left square is: SS
The top right square is: Ss
The lower left is: Ss
The lower right is: ss
Note: Homo= same Hetero= different S= dominant s= recessive
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Let x be a binomial random variable with p = 0.1 and n = 10. calculate the following probabilities
The probabilities from the binomial probability mass function P(x ≤ 2) will be 0.9298.
What is binomial distribution?Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as
\(\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}\)
q = 1 - p = 1 - 0.10 = 0.90
Let x be a binomial random variable with p = 0.1 and n = 10.
The probabilities from the binomial probability mass function P(x ≤ 2) will be
P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)
P(x ≤ 2) = ¹⁰C₀ × (0.1)⁰ × (0.9)¹⁰ + ¹⁰C₁ × (0.1) × (0.9)⁹ + ¹⁰C₂ × (0.1)² × (0.9)⁸
P(x ≤ 2) = 0.3487 + 0.3874 + 0.1937
P(x ≤ 2) = 0.9298
Your question was incomplete but the complete question is given below.
Let x be a binomial random variable with p = 0.1 and n = 10. Calculate the probability from the binomial probability mass function less than or equal to 2.
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A ski instructor recorded the amount of snow that fell each Saturday during ski season. He displayed the data in a line plot.
What is the range in this set of data?
the range in this set of data is 25 inches. To find the range of snowfall amounts, we need to look at the line plot and identify the highest and lowest amounts of snowfall that were recorded.
The range in a set of data is the difference between the maximum and minimum values in the set.
To find the range of snowfall amounts, we need to look at the line plot and identify the highest and lowest amounts of snowfall that were recorded.
Let's say that the highest amount recorded was 30 inches and the lowest amount recorded was 5 inches. Then the range would be:
range = highest amount - lowest amount
range = 30 - 5
range = 25
Therefore, the range in this set of data is 25 inches.
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The center is O. The circumference is 28. 6 centimeters. Use 3. 14 as an approximation for pi
The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.
The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.
Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:
28.6 = πd
d = 28.6/π
Using 3.14 as an approximation for π, we get:
d ≈ 28.6/3.14 ≈ 9.11
Therefore, the diameter of the circle is approximately 9.11 cm.
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What is the slope of a line perpendicular to the line whose equation is 2x+4y=-64
Determine the equation of the tangent to the curve defined by 2x y=1-xe²x at x = 0.
The equation of tangent to the curve at x = 0 is y = -x - 1/2.
To find the equation of the tangent to the curve at x = 0, we need to find the slope of the curve at that point
First, let's differentiate the equation with respect to x:
d/dx (2xy) = d/dx (1 - xe²ˣ)
Using the product rule, we get
2y + 2x(dy/dx) = -e²ˣ - 2xe²ˣ
Now, let's substitute x = 0 into this equation:
2y + 0(dy/dx) = -1 - 0
Simplifying, we have:
2y = -1
Dividing both sides by 2, we get:
y = -1/2
So, at x = 0, the y-coordinate of the curve is -1/2.
Now, we can find the slope of the tangent at x = 0 by differentiating the curve equation
dy/dx = d/dx (1 - xe²ˣ)
dy/dx = -e²ˣ - 2xe²ˣ
Substituting x = 0 into this equation, we get:
dy/dx = -1
Therefore, the slope of the tangent at x = 0 is -1.
Now, we have a point (0, -1/2) and a slope of -1. We can use the point-slope form of a linear equation to find the equation of the tangent:
y - y₁ = m(x - x₁)
Substituting the values, we have
y - (-1/2) = -1(x - 0)
y + 1/2 = -x
Simplifying, we get
y = -x - 1/2
So, the equation of tangent to the curve at x = 0 is y = -x - 1/2.
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