To achieve an average score of 91, Sally needs to bowl an 89 in her fourth game, calculated by subtracting her current total score of 275 from the desired total of 364 points.
To calculate the score Sally needs in her fourth game to achieve an average of 91, we first need to determine the total points she needs after four games. We can calculate the required total points by multiplying the desired average score by the number of games:
91 × 4 = 364 total points
Next, we add up the scores from Sally's first three games:
108 + 72 + 95 = 275 points
Finally, we subtract the sum of her first three games from the total required points to find the score Sally needs in her fourth game:
364 - 275 = 89 points
Therefore, Sally needs to bowl a score of 89 in her fourth game to achieve an average of 91.
A circular table has a diameter of 4ft.what is its approximate area?(use pi=3)
How to do this I’m lost
1. How many parts does each complex number have? What are they?
2. What kind of numbers are a and b in a complex number?
3. Give 4 examples of complex numbers. Identify the real numbers (a and b) (not parts) in your examples.
4. In a complex number in the form a + bi, what is the real coefficient of i?
5. Show and explain how you can write real numbers, such as 6, or -7.2 as complex numbers.
6. Give 2 examples of real numbers written in complex form.
7. Show and explain how you can write imaginary numbers, such as 23i or -0.24i as complex numbers.
8. Give two examples of imaginary numbers written in complex form.
9. What is the modulus of 5 - 3i ?
Will give more points once answered fully and correctly
What is the attribute being measured?
A. Psi
B. Stress
C. glass rods
D. number of rods
Answer:
B. Stress
Step-by-step explanation:
Did the usa prept test :)
The table shows the results of drawing letter tiles from a bag. What is the probability that the next title drawn will have the letter C on it?
Outcome. Number of times drawn
A. 12
B. 5
C. 18
D. 15
A) 1/18
B)6/25
C)9/25
D)18/25
What is the axis of symmetry for
Y=5x^2+12x+2
What expression can be used for estimating 868 divided by 28?
Pls help me
Thanks
Segment KL is tangent to ⊙ J. If KL¯¯¯¯¯¯≅JK¯¯¯¯¯, what is m∠J? The image is of a circle with centre P and having a sector KJM. KL is tangent to the circle. Points J, M and L are joined to form a horizontal line and thus a triangle KJL is formed.
That’s what it looks like. Im not sure how to solve it either though.
Jason and Kyle both choose a number from 1 to 10 at random. What is the probability that both numbers are odd?
Mr. Baker’s fifth grade class of buried a time capsule in the field behind the school they drew a map and mark the location of the capsule with an ax so that his class can dig it up in 10 years what could Mr. Baker’s class have done to make the capsule easier to find
Antoine is wrapping a block of cheese that is 22 centimeters long by 6 centimeters high by 10 centimeters wide with plastic wrap. What is the surface area of the cheese box?
mrs adrian bought 30 yards of dirt for her garden in her backyard. she hired 4 girls to spread the dirt if the girls divided the dirt up evenly, how many yards did each girl need to spread mrs adrians garden?
given the function f(x)=2x^2-3x, calculate f(a+h)-f(a)/h
Billy is flying his new radio-controlled helicopter around town. He is using a map in which each grid line is equivalent to 100 feet. Billy releases the helicopter from the library parking lot, at (2, 6) on the map. He gets it to cruising altitude and then starts measuring its flight. Billy flies the helicopter in a direct line to the town pool, at (6, 9) on the map. How far has the helicopter flown?
The helicopter has flown a distance of 500 feet as calculated using the Euclidean distance formula for two points on a grid.
Explanation:To find the distance the helicopter has flown, we need to calculate the Euclidean distance between the two points (2,6) and (6,9) on the grid map. We can use the formula: Distance = √[(x₂ - x₁)² + (y₂ - y₁)²], where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points. Substituting the given points into the formula, we have:
Distance = √[(6 - 2)² + (9 - 6)²] = √[(4)² + (3)²] = √[16 + 9] = √25 = 5 grid lines.
Given that each grid line is equivalent to 100 feet, the helicopter has traveled 5 grid lines * 100 feet/grid line = 500 feet.
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Please solve both and tell me how!
Jean's bedroom is 14 feet by 13 feet. She has chosen a carpet which costs $30.90 per square yard. This includes installation.
Determine her cost to carpet her room. $
find the slope of, m, of the line passing through points (-4,-3) and (0,-2)
if triangle ABC is rotated 180 degrees about the origin, what are the coordinates of A?
Answer:
The coordinates of A is [tex](-x_1,-y_1)[/tex].
Step-by-step explanation:
We are given that a triangle ABC is rotated 180 degrees about the origin .
We have to find the coordinates of A.
Let vertices of triangle ABC [tex]A(x_1,y_1),B(x_2,y_2) ,C(x_3,y_3)[/tex]
When we rotate the about 180 degrees then the coordinates changes like as
[tex](x,y)\rightarrow (-x,-y)[/tex]
When we rotate triangle ABC about 180 degrees then its vertices Ais ([tex]x_1,y_1)[/tex] change into [tex](-x_1,-y_1)[/tex]
Hence, the coordinates of A is [tex](-x_1,-y_1)[/tex].
Final answer:
After rotating triangle ABC 180 degrees about the origin, the coordinates of point A, initially at the origin (0, 0), remain unchanged at (0, 0).
Explanation:
If triangle ABC is rotated 180 degrees about the origin, the coordinates of point A after the rotation can be determined by applying the rules of rotation in the Cartesian coordinate system. Since point A is at the origin, its initial coordinates are (0,0). A rotation of 180 degrees about the origin will essentially reflect a point over both the x-axis and y-axis, but the location of point A will remain unchanged because it is located at the center of rotation. Therefore, the rotated coordinates of point A will still be (0, 0).
List the theorems for finding zeros of higher degree polynomial functions?
Rational Root Theorem
Final answer:
The theorems for finding zeros of higher degree polynomials include the Fundamental Theorem of Algebra, which guarantees n roots for an nth degree polynomial, the quadratic formula for second-order polynomials, and Euler's Theorem for Homogeneous Functions. These tools and theorems assist us in identifying possible roots and understanding the behavior of polynomial functions.
Explanation:
Theorems for Finding Zeros of Higher Degree Polynomial Functions
There are several important theorems relevant to finding zeros or solutions of higher degree polynomial functions. One key theorem is the Fundamental Theorem of Algebra, which states that every nth-degree polynomial has exactly n complex roots, which may include repeated roots. Additionally, polynomials are continuous and differentiable, so finding points where the derivative is zero leads to identifying potential maxima and minima.
The quadratic formula is used to find the zeros of second-order polynomials, revealing up to two roots, which may be real or complex numbers. Another relevant theorem is Euler's Theorem for Homogeneous Functions, which pertains to homogeneous functions of a certain degree and their properties. In the case of polynomials, it can be applied to determine certain types of symmetries and relationships amongst the coefficients.
Regarding polynomials of odd degrees, these always have at least one real root. Furthermore, since real-world numbers are approximations, tiny changes in the coefficients of a polynomial can lead to distinct roots. It's also worth noting that for any nth degree polynomial, differentiation yields an n-1 degree polynomial, which guides us in understanding the number of maxima or minima the function can possess. This is illustrated by the derivative of a third-order polynomial being a second-order polynomial, which can have at most two real roots.
Two angles are complementary. If one angle measures 32 degrees, what is the measure of the second angle?
If one angle measures 32 degrees, the measure of the second angle can be found by subtracting 32 from 90. Therefore, the second angle is 58 degrees.
Explanation:Complementary angles are two angles whose sum is 90 degrees. So, if one angle measures 32 degrees, we can find the measure of the second angle by subtracting 32 from 90:
Second angle = 90 - 32
Second angle = 58 degrees
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END OF UNIT ASSESSMENT TEST QUESTION!!!!
The table shows the results of a random survey of children between the ages of 10 and 15 about their favorite food.
Pizza Hamburger Chicken fingers Hot dogs Mac and cheese
67 42 59 14 24
Based on these results, if 375 children are asked about their favorite food, how many children will prefer pizza?
The probability of Jaden making a free throw is 15%. Predict the number of free throws that he can expect to make if he attempts 40 free throws.
We have been given that the probability of Jaden making a free throw is 15%.
Now, we have to predict the number of free throws that he can expect to make if he attempts 40 free throws.
In order to find the total number of free throws, we will find 15% of 40.
Therefore, the number of free throws should be
[tex]15\% \text{ of }40\\ \\ =\frac{15\times 40}{100} \\ \\ =\frac{600}{100} \\ \\ =6[/tex]
Therefore, the number of free throws that he can expect to make if he attempts 40 free throws is 6.
calculate length of x
A father is ten times as old as his daughter. In 5 years he will be just five times as old as she will be. How old are they now? HELP PLEASEEE
The given problem is an algebraic equation where the daughter's age is denoted as 'x' and the father's age as '10x'. An equation is formulated to solve for 'x' based on future ages. The solution to the problem is that the daughter is 5 years old, and the father is 50 years old.
Explanation:The problem asked is a classic example of algebra problem solving. We are told that a father is 'ten times as old as his daughter', and in five years, 'he will be just five times as old as she will be'. Let's denote the daughter's current age as 'x'. Therefore, the father's current age will be '10x'.
In five years, the daughter will be 'x+5' and the father will be '10x+5'. At this future moment, the father is 'five times as old as the daughter', so we can create the equation: 10x + 5 = 5(x + 5). Solving this equation leads to 'x=5'. So, the daughter is 5 years old and the father is 50 years old.
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Which choice represents the best rational approximation for *square root symbol* 3? A) 14/9 B) 15/13 C) 17/10 D) 6/5
A rational number is a number which is in the form [tex]\frac{p}{q} ,q \neq 0[/tex]
Now, the value of the number [tex]\sqrt 3 = 1.73[/tex]
Now let us evaluate each given rational number in decimal form.
[tex]\frac{14}{9} = 1.6\\ \\ \frac{15}{13} = 1.2\\ \\ \frac{17}{10} = 1.7\\ \\ \frac{6}{5} = 1.2[/tex]
Therefore, among these numbers, the best approximation is option c i.e. 17/10.
C is the correct option.
Answer:
C) [tex]\frac{17}{10}[/tex]
Step-by-step explanation:
[tex]1,732050808 ≈ \sqrt{3} \\ \\ 1,73 ≈ \sqrt{3}[/tex]
Therefore answer choice C) would be the best approximate answer to this:
* [tex]1\frac{7}{10} = 1,7[/tex]
I am joyous to assist you anytime.
Find the area of the figure
verify the identity sec(theta)sin(theta)cot(theta) = 1
A bag has 10 marbles and 4 are black. Joseph picks 2 marbles without replacing the first. What is the probability that both are black?
To find the probability that both marbles drawn by Joseph are black, you need to consider the number of ways he can draw 2 black marbles out of the 4 black marbles in the bag, divided by the total number of ways he can draw 2 marbles from the 10 marbles in the bag without replacement. The probability is 2/15.
Explanation:To find the probability that both marbles drawn by Joseph are black, we need to consider the number of ways he can draw 2 black marbles out of the 4 black marbles in the bag, divided by the total number of ways he can draw 2 marbles from the 10 marbles in the bag without replacement.
Let's calculate:
Therefore, the probability that both marbles are black is 6/45, which simplifies to 2/15.
what is the length of leg s of the triangle below?
Help please Math Geometry