Answer:
44
Step-by-step explanation:
Can someone help me on this question and explain the process
Answer:
Step-by-step explanation: Use Pythagorean Theorem
[tex]a^2 + b^2 = c^2\\[/tex]
[tex]15^2 + b^2 = 9^2\\[/tex]
[tex]225 + b^2 = 81[/tex]
[tex]- 255[/tex] [tex]-255[/tex]
-------------------
[tex]b^2 = 174\\[/tex]
[tex]b^2 = \sqrt{-174}[/tex]
Out of the incoming freshman at a collage 2,268 of them are female. how many incoming freshman are there if 58% are male?
When out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400
Given,
Number of females = 2268
Consider the total number students as x
Percentage of male = 58%
Then the equation will become
x-2268= x×[tex]\frac{58}{100}[/tex]
x-2268=0.58x
x-0.58x=2268
0.42x=2268
x=5400
Hence, when out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400
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5. in an experiment that tested how adding variable quantities of sugar to flowers in a vase made the flowers last longer, the dependent variable would be the \
For given scenario the dependent variable would be the life of flowers.
For given question,
The variable that researchers are trying to explain or predict is called the
response variable. It is also sometimes called the dependent variable
because it depends on another variable.
The variable which is used to predict the response variable is known as the explanatory variable. It is also called as an independent variable because it does not depend on another variable.
The amount of sugar would be an independent variable and the life of flowers is a dependent variable.
Therefore, for given scenario the dependent variable would be the life of flowers.
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In the first quadrant,you start at (11,8) and move 9 units left and 3 units up
The result of moving 9 units to the left and 3 units up is (2,11) in the 1st quadrant.
What do we mean by quadrants?A quadrant is an area enclosed by the x and y axes; thus, a graph has four quadrants. To explain, the two-dimensional Cartesian plane is divided into four quadrants by the x and y axes. Quadrant I begins in the upper right corner and progresses counterclockwise through Quadrants II through IV.Refer to the graph given below:
After moving 9 units left and 3 units up, the result is (2,11).Therefore, the result of moving 9 units to the left and 3 units up is (2,11) in the 1st quadrant.
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Twice a number y increased by seven
The statement "twice a number y increased by seven " can be expressed by the algebraic expression is 2y+7.
A mathematical construct called an algebraic expression is made up of integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).
Let us take an expression 5a²+2c+7 is an algebraic expression. Where
a,c are variables 5 and 2 are coefficients and 7 is the constant.
The given statement is "Twice a number y increased by seven". let us break it into smaller parts:
Twice a number y is represented by 2y , then it is increased by 7 . So the required expression comes out as 2y+7.
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which expression can be used to determine the average rate of change in f(x) over the interval 2, 9?
The necessary expression for calculating the average rate of change inside the given function f(x) is given using :
f'(x) = (f(9) - f(2))/7
What is the average change rate?It quantifies how significantly the function changed per unit on average over that time interval. The slope of the single direction connecting every interval's ends on the function's graph is used to calculate it.
What is the distinction between the slope and the average rate of change?As we can see, slope is another way of calculating the average change rate. The average rate of change is calculated by dividing the difference in the dependent (y-term) by the difference inside the independent variable (x-term). The slope, as well as average rate of change are the same thing.
According to the given data:The function is given to f(x)
The interval is given to be [2,9]
Let a = 2 and b = 9
The expression which is used to determine the average rate of change in f(x) is given by
f'(x) = (f(b) - f(a))/b - a
f'(x) = (f(9) - f(2))/7
The necessary expression for calculating the average rate of change inside the given function f(x) is given using :
f'(x) = (f(9) - f(2))/7
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following is an equation of a circle in the xy-plane with center(-2, 1) and a radius with endpoint (0,2)? a) (x-2)(y 1)2 5 b)
The equation of a circle in the xy-plane is found as (x + 2)² + (y - 1)² = 5.
What is circle?A circle is a two-dimensional closed figure in which the set of all points with in plane is equidistant from the a given point known as the "centre."
Circle Formula: (x - h)² + (y - k)² = r² ;
Where, (h, k) is the centre & r is the radius of the circle.
Use the distance formula for(-2, 1) and (0,2)
[tex]\begin{aligned}&r=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2} \\&r=\sqrt{(0+2)^2+\left(2-1\right)^2} \\&r=\sqrt{(2)^2+\left(1\right)^2}\end{aligned}[/tex]
Further simplifying;
r = √(4 + 1)
r = √5
Centre (h, k) = (-2, 1) Radius (r) = √5.
(x - h)² + (y - k)² = r²
(x + 2)² + (y - 1)² = √5²
(x + 2)² + (y - 1)² = 5 is the equation of the circle.
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Today Julia practiced her flute for 9 minutes fewer than twice the amount of time she spent
yesterday. If m represents the number of minutes spent practicing yesterday, then the
expression 2m-9 represents how much time she practiced today. JSuppose Julia practiced for
25 minutes yesterday. How many minutes did she spend practicing the flute today?
50 minutes
O 49 minutes
O 41 minutes
O 36 minutes
Answer:
Julia would have spent 41 minutes.
Step-by-step explanation:
We know that the equation is 2m - 9, and that m is equal to 25.
So all we have to do is solve.
2m - 9
= 2(25) - 9
= 50 - 9
= 41
So Julia practiced 41 minutes that day.
Hope this helped! :D
In a box of Toasted O’s cereal, there are 15.4 ounces of cereal. If each box cost $3.59, what is the cost per ounce? Round to the nearest penny.
1 point
When each box cost $3.59, the cost per ounce will be $0.23 ounce.
How to calculate the value?In the box of Toasted O’s cereal, there are 15.4 ounces of cereal and each box cost $3.59.
Therefore, the cost per ounce will be:
= Total amount / Number of ounce
= $3.59 / 15.4
= $0.23 per ounces
Therefore, when each box cost $3.59, the cost per ounce will be $0.23 ounce.
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m
=
11
x
+
1
,
DCH
m
=
8
x
,
and
DCB
m
=
172
°
.
Find
DCH
m
.
The value of the angle DCH is 72 degrees
How to determine the value of the angle DCH?The given parameters are
m = 11x+1,
DCH = 8x,
DCB = 172°.
The above means that:
11x + 1 + 8x = DCB
This gives
11x + 1 + 8x = 172
Evaluate the like terms
19x = 171
Divide both sides by 19
x = 9
Substitute x = 9 in DCH = 8x,
DCH = 8 * 9
Evaluate
DCH = 72
Hence, the value of the angle DCH is 72 degrees
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with an average speed of km per hour,a bus takes 10 hour to arrive kathmandu from biratnagar.in how early does it arrive kathmandu,if its average speed is increased by 5 km per hour?
It arrives 1 hour early in Kathmandu, if its average speed is increased by 5 km/h;
Average speed = 45 km/h;
Total time taken to arrive Kathmandu from Biratnagar = 10 hours
∴ Distance between Kathmandu and Biratnagar = Speed × Time
= 45 × 10
= 450 km;
If average speed is increased by 5 km/h, new average speed = 50 km/h;
New time to reach Kathmandu = Distance/ Time
= 450/50
= 9 hours;
It arrives 10 - 9 = 1 hour early in Kathmandu;
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What is 4a +22
______
10-b
The coordinate a,b are co-linear, and b lies between a and c. if ac= 36, ab= 2x + 4 and bc= 4x + 2, what is the value of x?
When, the coordinate a and b are colinear, and b lies between a and c, if ac=36, ab= 2x+4 and bc=4x+2, then the value of x is 5
Given,
The coordinates a and b are colinear.
The point b lies between a and c
Therefore,
ac = ab + bc
ac= 36
ab= 2x+4
bc= 4x+2
Substitute the values
36= 2x+4 + 4x+2
36= 6x+6
6x= 36-6
6x=30
x=5
Hence, when the coordinate a and b are co-linear, and b lies between a and c, if ac=36, ab= 2x+4 and bc=4x+2, then the value of x is 5
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write out the form of the partial fraction decomposition of the function (as in this example). do not determine the numerical values of the coefficients. (a) x − 30 x2 x − 30 (x−5)b (x 6)a (x−5)(x 6) (b) x2 x2 x 30
The partial fraction decomposition of the given expression can be written as
[tex]\frac{(x-30)}{x2+x-30} = \frac{A}{(x-5)} +\frac{B}{(x+6)}[/tex]
What is the partial fraction and quadratic equation?
The expression which is in the form of a rational equation can be converted to multiple fractions by performing factors of the denominator equation. And later split the fraction expression into two or more simpler fractions which form a partial fraction.
A quadratic expression is a second degree polynomial equation whose coefficients are real numbers. It comes from the word “quad” which means “square”. And that is why the degree of a quadratic equation is two.
According to the question, the factors of the denominator expression which is quadratic in nature:
[tex](x^{2} +x-30)=(x-5)(x+6)[/tex]
Now, the factors of the given expression are possible. The the partial fraction can be written as:
[tex]\frac{(x-30)}{x2+x-30} = \frac{A}{(x-5)} +\frac{B}{(x+6)}[/tex]
The factors of the second equation are not possible.
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I need help with the introduction to probability lesson. The photo is attached below.
Answer:
.50 = equally likely as unlikely
1 = certain
.25 = unlikely
0 = impossible
.75 = likely
Step-by-step explanation:
Think of these as percentages, it'll help you figure out.
.50 is 50%
1 is 100%
.25 = 25%
0 is 0%
.75 = 75%
what is the slope of the line that passes through the points (4,-2) and (4,10)? write your answer in simplest form
Answer:
x = 4
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (10 - -2)/(4 - 4) = 12/0
so slope is undefined
therefore the line is a vertical line, which is x = 4
What is the common ratio between successive terms in the sequence?
27, 9, 3, 1.7.
27
O-3
عد اس مراس
01/1/0
O 3
Answer:
hold up
Step-by-step explanation:
عد اس مراس whats this mean??
choose the four variables that are most important to control in an experiment about the rate at which bread turns moldy.
Four variables that are most important to control in an experiment about the rate at which bread turns moldy are:
(A) Humidity.(C) Age of bread.(D) Type of bread.(H) Type of storage container.What do we mean by experiment?An experiment is a procedure that is carried out to support or refute a hypothesis, or to determine the efficacy or likelihood of something that has never been tried before. Experiments shed light on cause-and-effect relationships by demonstrating what happens when a specific factor is changed. Experiments vary greatly in goal and scale, but they all rely on repeatable procedures and logical results analysis. Natural experimental studies are also available.So, the variables that are most important in an experiment about the rate at which bread turns moldy are:
Humidity.Age of bread.Type of bread.Type of storage container.Therefore, four variables that are most important to control in an experiment about the rate at which bread turns moldy are:
(A) Humidity.(C) Age of bread.(D) Type of bread.(H) Type of storage container.Know more about experiments here:
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The correct question is given below:
Choose the four variables that are most important to control in an experiment about the rate at which bread turns moldy.
a. humidity
b. B time of day
c. age of bread
d. type of bread
e. shape of bread
f. height of observer
g. type of shelf surface
h. type of storage container
Find the quotient of the quantity 30 times ten raised to the negative twenty fourth power end quantity divided by the quantity 5 times ten raised to the negative twenty fourth power end quantity.. write the final answer in scientific notation. 6 x 1048 6 x 1024 6 x 100 6 x 10−48
The quotient of the quantity (30 × 10⁻²⁴)/(5 × 10⁻²⁴) is found out to be 6 × 10⁰.
What is meant by scientific notation?For writing exceptionally large or extremely small numbers, scientific notation is comparable to shorthand. A process is limited to a number multiplied by ten rather than written in decimal form.
In a mathematical equation, the "coefficient" is the first number. The coefficient must be less than ten and greater than one. For example, the coefficient for developing scientific notation for the number 256 is 2.56.As in the equation, the second number is a power of ten, presented as a power of ten with just an exponent, such as 10², which stands for 10 x 10.Now, as per the expressed equitation;
= (30 × 10⁻²⁴)/(5 × 10⁻²⁴)
Divide the numerator (30 × 10⁻²⁴) by denominator (5 × 10⁻²⁴) by the quotient.
= 6 × 10⁰
Therefore, the quotient of the quantity (30 × 10⁻²⁴)/(5 × 10⁻²⁴) is calculated as 6 × 10⁰.
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In 10 and 11 complete each sentence then use the laws of exponents to write an equivalent expression for the given expression.
The results of the computation using the laws of exponents are 2^12 and 2401/256
What is indices?When we have two numbers, one serving as the base and the other being the index, we could be able apply the laws of indices when we are solving the problem. There are several laws of indices such as; multiplying, dividing, power of 0, brackets, negative and fractional powers.
In order to solve these problems, we need to apply the statements of the laws of indices.
In the first case we have;
2^16 ÷ 2^4
2^16/2^4
Using the subtraction law;
2^16 - 4 = 2^12
Again;
(7/4)^4
By the power law
7^4/4^4 = 2401/256
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please help me on this ...
Answer: 5m
Step-by-step explanation: multiply the numbers.
To conserve water, many communities have developed water restrictions. the water utility charges a fee of $29, plus an additional $1.41 per hundred cubic feet (hcf) of water. the recommended monthly bill for a household is between $54 and $82 dollars per month. if x represents the water usage in hcf in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (round your answer to one decimal place.) 54 ≤ 1.41x 29 ≤ 82; to stay within the range, the usage should be between 17.7 and 37.6 hcf. 54 ≤ 1.41x 29 ≤ 82; to stay within the range, the usage should be between 17.7 and 58.2 hcf. 54 ≤ 1.41x − 29 ≤ 82; to stay within the range, the usage should be between 38.2 and 78.7 hcf. 54 ≤ 1.41x − 29 ≤ 82; to stay within the range, the usage should be between 58.9 and 78.7 hcf.
Answer: The answer is "54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be between 17.7 and 37.6 HCF."
I took the test.
what is the estimated sum of 69, 129, 139, and 97
Answer:
cluster estimation is to estimate sums when the numbers being added cluster near in value to a single number. it is 100 in this case.
estimate sum = 100x4 = 400
Step-by-step explanation:
Answer:
440
Step-by-step explanation:
Round all of the numbers, and then add them.
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Formula of the area of a trapezoid
Answer:
[tex]A = \frac{a+b}{2} + h[/tex]
Step-by-step explanation:
A is the area. a and b are the lengths of the two bases. h is the height of the trapezoid.
Answer:
Step-by-step explanation:
A=[tex]\frac{base1+base2}{2}height[/tex]
Write the equation of the parabola in vertex form.
vertex(4,4) , (3,2)point?
please help me with this question
The equation of the parabola in vertex form is y=-2(x-4)²+4.
Given that the vertex point is (4,4), (3,2).
The equation of a parabola in vertex form is y=a(x-h)²+k where a is called stretch coefficient and the point (h,k) is the vertex of the parabola.
A parabola with its vertex at the point (4,4), therefore h=4,k=4 and we can write
y=a(x-4)²+4
To find the value of a we use the point (3,2). Substituting on the equation we get:
y=a(x-4)²+4
2=a(3-2)²+4
2=a(1)²+4
2=a+4
2-4=a
-2=a
Then the equation of the parabola in vertex form is y=-2(x-4)²+4.
Hence, the equation of the parabola in vertex form from the given point (4,4), (3,2) is y=-2(x-4)²+4.
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the 1560 members of the temecula community church have a method of quickly notifying members. the pastor and his secretary each call 3 members each of whom then call 3 other members, each of whom then calls 3 more members, and so on. how many rounds of calls are needed before all 1560 members are called
Using an exponential function, it is found that 7 rounds are needed before all 1560 members are called.
What is an exponential function?An exponential function is modeled as follows:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.Considering that initially one person knows the method, and then each person will call 3 other people, the parameters are given as follows:
a = 1, b = 3.
Hence the number of people that are called after x rounds is given by:
[tex]y = 3^x[/tex]
The number of rounds that will take for the 1560 members to be called is found as follows:
[tex]3^x = 1560[/tex]
[tex]\log{3^x} = \log{1560}[/tex]
[tex]x\log{3} = \log{1560}[/tex]
[tex]x = \frac{\log{1560}}{\log{3}}[/tex]
x = 6.69.
Rounding up, as at the end of the 6th call not all members will have been called, 7 rounds are needed before all 1560 members are called.
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1 What is the domain of the following function?
A -4
B 4≤x≤1.5
C -5
D -5≤y≤6
The domain of the function is -4 ≤ x ≤ 1.5. The correct answer is option B.
What is Domain ?
A domain is the possible independent variable value of a function. In a two dimensional graph, the independent variable is x - axis.
From the given graph, tracing the line of the equation to the x - axis, the independent variable value span from x = -4 to x = 1.5.
So, we can say that the domain of the function is -4 ≤ x ≤ 1.5
Therefore, the correct answer is option B.
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a robot encounters a bunch of coins spread out on the ground. it examines each coin and, if the coin is heads, turns it to tails with 100% probability. if the coin is tails, it turns it to heads with 50% probability. he examines each coin once per cycle. if you have the robot cycle through the coins a very large number of times, what will eventually happen to the proportion of heads and the proportion of tails?
The proportion of heads and the proportion of tails p(H) + p(T) = 1.
Let p(H) represent the long-term probability that the coin will land on heads, and p(T) represent the long-term probability that the coin will land on tails.
Keep in mind that we must be at a tail and transition with a probability of 0.5 in order to get a head. So, p(H) = 0.5p(T).
Noting that we can either be at a head and transition to a tail with a probability of 1, or at a tail and transition to a tail with a probability of 0.5, we can obtain a tail. p(T) therefore equals 0.5 * p(T) + p(H).
Note that p(T) = 2 p is the result of the first two equations (H). We obtain p(H) = 1/3 and p(T) = 2/3 by substituting into p(H) + p(T) = 1. So, eventually, we'll have two-thirds of the coins with heads and one-third with tails.
What is the probability of finding three heads if there are five coins?The probability of finding three heads is 1/4. We should find the probability of finding three heads in five tosses with the help of the following formula:
p(x) = (x+1) C x-1 p(3 Heads)
p(x) = (5+1) C 4 -1p(3 Heads) = 7/8.
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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.)
midpoint (20,21), endpoint (19,12)
(-1, 2))
You just to make use of the Midpoint Formula to solve for the missing coordinate
Midpoint Formula
((x1 + x2)/2, (y1 + y2)/2)
Midpoint (0,-1) end point (1,-4)
Let x1 = 1, the x coordinate of the endpoint
Let x2 = the x coordinate of the unknown endpoint
Let y1 = -4, the y coordinated of the endpoint
Let y2 = the y coordinated of the unknown endpoint
Just plug in the values and do the calculations
For the x coordinate of the unknown endpoint
(x1 + x2)/2
(1 + x2)/2 = 0
1 + x2 = 0
x2 = -1
For the y coordinate of the unknown endpoint
(y1 + y2)/2
(-4 + y2)/2 = -1
-4 + y2 = -2
y2 = -2 + 4
y2 = 2
So the coordinates of the other endpoint are (-1,
The school newspaper wants to find the opinions of students on availability of campus parking. They send a staff member to stand outside a busy dorm and interview students as they walk in or out of the building. What type of sampling process did the paper use?.
The sampling process used by the school newspaper is convenience sampling.
Convenience sampling is the most popular kind of sampling that concentrates on gathering data from individuals (the sample) who are 'convenient' for the researcher to reach. With this sample strategy, researchers can choose subjects at random who are receptive to being contacted and participating in the study rather than selecting participants at random based on any set of criteria (such as demographic variables). This implies that one can locate your sample at any time and any place, such as among individuals in a mall, on the street, at work, or in an online community.
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