ray ab bisects CAT. if m< CAT =30 and m
(pls show how i did it)
Answers
Related Questions
Solve by factoring
X^2+x=63
Answers
Answer:
x = 3[tex]\sqrt{7- x}[/tex]
Step-by-step explanation:
so what you do here is move the x to the other side.
X^2 = 63 - x
then you square root both sides
so [tex]\sqrt{x^{2} }[/tex] and [tex]\sqrt{63 - x}[/tex]
so you end up with
x = [tex]\sqrt{63 - x}[/tex]
so now we ask what can we take out? 9 times 7 is 63 and 9 is a perfect square so when we take the square root of that, we end up with
x = 3[tex]\sqrt{7- x}[/tex]
have a good day :)
What is the quotient of 535 ÷ 30? Enter your answer in the boxes.
Answers
Step by step
Quotient is division
535 ÷ 30 = 17.83333…..(line over the 3 as it continues indefinitely)
I also did long division attached
Write to the equation y=mx+b in the terms of m?
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M=y-b divided by x
M=X+b divided by y
M=y divided by X -b
M=xy-b
Which one?
Answers
The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.
What is the isolation of a variable in an equation?
Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.
Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.
How to solve the question?
In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.
This means that we need to isolate the variable m, to get an expression equal to m.
The isolation of the variable m can be done as follows:
y = mx + b,
or, y - mx = mx + b - mx {Subtracting mx from both sides},
or, y - mx = b {Simplifying},
or, y - mx - y = b - y {Subtracting y from both sides},
or, -mx = b - y {Simplifying},
or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}
or, m = (y - b)/x {Simplifying}.
Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.
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The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.
What is the isolation of a variable in an equation?
Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.
Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.
How to solve the question?
In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.
This means that we need to isolate the variable m, to get an expression equal to m.
The isolation of the variable m can be done as follows:
y = mx + b,
or, y - mx = mx + b - mx {Subtracting mx from both sides},
or, y - mx = b {Simplifying},
or, y - mx - y = b - y {Subtracting y from both sides},
or, -mx = b - y {Simplifying},
or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}
or, m = (y - b)/x {Simplifying}.
Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.
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Steven is a waiter. He earns $3.45 an hour plus 20% tips. One day he worked 7 hours and served meals costing $497 what were his earring? Round you answer to the nearest cent.
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Since he’s tipped 20% for meals, you multiply .2 (20% and a decimal) by $497 which equals $99.40
Now add the sums together and you get your answer, which is $123.55
Alfreda made a container shaped like a triangular prism, as shown in the diagram.
A
14 in.
4 in.
11 in.
What is the volume of the container in cubic Inches?
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The volume of the triangular prism is 308 in³
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Given that, Alfred made a container shaped like a triangular prism,
Given are the dimensions, 14 in., 4 in. and 11 in.
Volume of a triangular prism = BxHxL/2
= 14x4x11/2 = 616/2 = 308 in³
Hence, The volume of the triangular prism is 308 in³
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(Find LCM of) :
ax² - (a² + ab)x+ a²b,
bx² - (b² + bc)x+ b²c and
cx² - (c² + ac)x + c²a
Answers
Answer:
Here is answer
Step-by-step explanation:
To find the least common multiple (LCM) of three polynomials, we need to find the smallest polynomial that is divisible by all three of them.
Let's start by factoring each of the given polynomials:
ax² - (a² + ab)x+ a²b = a(x - b)x
bx² - (b² + bc)x+ b²c = b(x - c)x
cx² - (c² + ac)x + c²a = c(x - a)x
The LCM of these three polynomials is the smallest polynomial that is divisible by all three of them. In this case, the smallest such polynomial is (x - a)(x - b)(x - c)x. This is because it is divisible by each of the given polynomials and no smaller polynomial is divisible by all three of them.
Therefore, the LCM of the given polynomials is (x - a)(x - b)(x - c)x.
Which system of equations has no solution?
3x + y = 5
6x + y = 5
3x + y = 5
6x + 2y = 7
3x + y = 5
6x + y = 10
√3x + y = 5
O
6x + 2y = 10
PLEASE HELP QUICKLY I GIVE BRAINLIEST
Answers
6x + 2y = 7 has no solution .
-
Steps
Y=5-3x
6x+2y=7 6x + 2 (5 - 3x)=7
-
6x + 2 (5 - 3x)=7 = no solution / undefined
Select the correct answer.
Which graph represents function g?
g(x) = (-x)1/2
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Answer:
Step-by-step explanation:
g(x) = (-x)1/2
PLEASE HELP!!!!! I WILL MARK BRAINIEST
Answers
Answer:
Step-by-step explanation:
7/8
------
3/10
use the fraction rule: 7x10/8x3- 35/12
try that, im not sure if its fully correct
A shipping container will be used to transport several 50-kilogram
crates across the country by rail. The greatest weight that can be
loaded into the container is 27500 kilograms. Other shipments
weighing 9500 kilograms have already been loaded into the container.
Write and solve an inequality which can be used to determine x, the
number of 50-kilogram crates that can be loaded into the shipping
container.
Answers
Answer:
50x + 9500 ≤ 27500
x ≤ 360
Step-by-step explanation:
50x + 9500 ≤ 27500 Subtract 9500 from both sides
50x + 9500 - 9500 ≤ 27500 - 9500
50x ≤ 18000 Divide both sides by 50
[tex]\frac{50x}{50}[/tex] ≤ [tex]\frac{18000}{50}[/tex]
x ≤ 360
7. Olivia purchases gifts for her mom and
grandma
for Mother's Day. The first is a pair of
sunglasses for $16.35 and the second is a
bracelet. Her total is $39.75. How much did she
spend on the bracelet?
Answers
Answer: $23.40
Step-by-step explanation:
To find out how much Olivia spent on the bracelet, we need to subtract the cost of the sunglasses from the total amount spent. In this case, that would be $39.75 - $16.35 = $<<39.75-16.35=23.40>>23.40. Therefore, Olivia spent $23.40 on the bracelet.
he charges $15.75 for 3 hours and $26.25 for 5 hours.
complete the explanation of why the relationship between how much steven charges and time is a proportional relationship.
the rate have the same?
Answers
A proportional relationship is when a change in one variable results in a change in the other variable in a consistent manner.
explain why the rate is the same and the link between the amount Steven charges and the passage of time is proportional?similar to direct variation in the form
y = k × x
where,
y = dependent variable
x = independent variable
k = constant.
The relationship between how much Steven charges and time is a proportional relationship because the rate of change between the two variables is constant. This can be seen in the equations:
For 3 hours: cost = 15.75
For 5 hours: cost = 26.25
The rate of change can be calculated by dividing the difference in costs (26.25 - 15.75) by the difference in time (5 hours - 3 hours) which equals a rate of 5.50 per hour. This rate remains constant for all other time increments, making it a proportional relationship.
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On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 1, negative 3) and (0, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (negative 2, 3) and (1, negative 3). Everything to the right of the line is shaded.
A school is planning for an addition in some open space next to the current building. The existing building ends at the origin. The graph represents the system of equations that can be used to define the space for the addition. What is the system of equations that matches the graph?
y ≤ 3x
y > –2x – 1
y > 3x
y ≤ –2x – 1
y < –3x
y ≥ 2x – 1
y > –3x
y ≤ 2x – 1
Answers
The system of inequalities that matches the graph is defined as follows:
y ≤ 3x.y > –2x – 1.How to define the system of inequalities?The first solid line has a positive slope and goes through (-1, -3) and (0, 0). Everything to the left of the line is shaded, hence this is the upper bound of the interval, as it is a solid line, it is a closed interval.
This line has an intercept of zero and a slope of 3, as when x increases by one, y increased by 3, hence the constraint is defined as follows:
y ≤ 3x
he second dashed line has a negative slope and goes through (-2, 3) and (1, -3). Everything to the right of the line is shaded, meaning that this is the lower bound of the interval, with an open interval.
When x increased by 3, y decayed by 6, hence the slope of the line is of:
m = -6/3 = -2.
Then:
y = -2x + b.
When x = 1, y = -3, then the intercept is given as follows:
-3 = -2 + b
b = -1.
Thus the constraint is of:
y > –2x – 1.
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Make b the subject of p=1/2ab^2
Answers
Answer:
b = [tex]\sqrt{2p/a}[/tex]
Step-by-step explanation:
The given equation is:
p=1/2ab^2
Multiply by 2 on both sides
2p = ab^2
Then divide by a on both sides,
b^2 = 2p/a
take square root on both sides, then we can get subject of b,
b = [tex]\sqrt{2p/a}[/tex]
Hence, the subject of the given equation make the value of b is b = [tex]\sqrt{2p/a}[/tex]
The subject of an equation is the value that is being solved for. An equation is a mathematical statement consisting of an equality sign (=) between two expressions that have the same value. The expression on the left side of the equality sign is called the left-hand side, while the expression on the right side of the equality sign is called the right-hand side. The left-hand side of the equation can be thought of as what is being solved for, while the right-hand side of the equation can be thought of as the clues or tools that are used to solve for the left-hand side. For example, in the equation 3x + 1 = 7, the subject of the equation is the variable x, which is the value that is being solved for.
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A tutor guarantees that 10% of her students will obtain A on every test they write. For the last test, the mean mark is 68 and the standard deviation is 6.
What mark is required to receive an A on the test?
Answers
The mark that is required to receive an A on the test is; 75.68
How to find sample mean?The formula for z-score here with the parameters given is;
z = (x' - μ)/σ
where;
x' is sample mean
μ is population mean
σ is standard deviation
We are given;
p-value = 10% = 0.1
μ = 68
σ = 6
Now, from z-score tables, the z-score at a p-value of 0.1 is z = 1.28. Thus;
1.28 = (x' - 68)/6
x' = 68 + (1.28 * 6)
x' = 75.68
We conclude that this value is the mark required to receive an A on the test.
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A football team has four different jerseys that players wear throughout the season: school colors, white, throwback, and pink (for breast cancer awareness). The tree diagram shows the conditional probabilities of the outcome of their games when players wear each type of jersey.
For a randomly selected game, determine the probability that players wore their white jerseys, given that they won.
0.34
0.41
0.42
0.80
Answers
Answer:0.41
Step-by-step explanation:
a flood lamp is installed on the ground 20 feet from a vertical wall. a 6-foot-tall man is walking towards the wall at the rate of 5 ft/s. how fast is the tip of his shadow moving down the wall when he is 5 feet from the wall?
Answers
Therefore , the speed of shadow moving down the wall when he is 5 feet from the wall is 8/3 ft/sec.
What does differentiation mean?A method of determining a function's derivative is differentiation. Mathematicians use the technique of differentiation to determine the instantaneous rate of change in a function based on one of its variables. The most typical example is velocity, which is the rate at which a distance changes in relation to time.
Here,
ΔABC & ΔDBE
=> AC/DE = BC/BE
=> h/6 = 20 /20-x
=> h = 120/20-x
Differentiate w.r.t to t
=> dh/dt = [tex]\frac{120}{{(20-x)}^{2} }[/tex] * dx/dt
given the man is walking towards wall at the rate of 5 ft/s
thus, dx/dt =5 ft/s
=>dh/dt = [tex]\frac{120}{{(20-5)}^{2} }[/tex] * 5
=>dh/dt = 8/3 ft /sec
Therefore , the speed of shadow moving down the wall when he is 5 feet from the wall is 8/3 ft/sec.
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due today pls help me
Answers
Answer: B
Step-by-step explanation:
A - Nope.
B - Possibility.
C. Nope. (2.23606797)
D. Nope.
When facing questions like this, it can be easier to use the process of elimination.
Please help!
In the triangle shown, what is the measure of QR?
Answers
Answer:
Below
Step-by-step explanation:
First , realize that angle P = 50 °
Are you familiar with the Law of Sines ?
5/ sin70 = QR / sin 50
QR = 5 sin 50 / sin 70
what is the answer to this question?
−6(4y + 4y + (−4))
Answers
Answer:
-48y+24
Step-by-step explanation:
−6(4y + 4y + (−4))
=-6(8y+-4)
=-48y+24
Answer:
-48y + 24
Step-by-step explanation:
−6(4y + 4y + (−4)) =
= −6(8y - 4)
= -48y + 24
. cut a 16-ft beam into two pieces so that one piece is 22 in. longer than the other. find the length of the two pieces.
Answers
The length of one piece is equal to 85 inches and the other piece is equal to 107 inches.
What is Conversion Factor ?The quantity or formula required to change a measurement from one system of units to another is known as a conversion factor. The number is typically presented as a numerical ratio or fraction that can be multiplied.
As from the conversion factor we know that,
1 Feet = 12 Inches
So, 16 Feet = 16 * 12 = 192 inches
Let the length of one piece be x
Then the other piece length will be x + 22
The required equation will be
x + x + 22 = 192
2x = 170
x = 85.
Hence, the length of one piece is equal to 85 inches and the other piece is equal to 107 inches.
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closed-ended measures should provide response categories that are mutually exclusive and exhaustive. group of answer choices true false
Answers
It is true that qualitative variable categories must be mutually exclusive and exhaustive as a whole.
It has been observed that when two occurrences are mutually exclusive, they cannot take place simultaneously. However, it need not entail that one of the two occurrences must take place. As a result, when two events are exhaustive of one another, one of them is said to occur.
It signifies that two occurrences cannot happen at the same moment if they are mutually exclusive. However, it doesn't entail that one of the two events must take place. If two occurrences are mutually exclusive, then one of them must take place.
The categories (answer possibilities) must, in the first place, be mutually exclusive, which means they cannot overlap. In order to give all alternatives that might make up a response list, survey answer options must be collectively thorough.
For instance, the act of flipping a coin is said to be both mutually exclusive and collectively exhaustive. Either heads or tails must result in this situation. These are variables, then.
Therefore,
It is true that qualitative variable categories must be mutually exclusive and exhaustive as a whole.
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Need help
What criteria are necessary to prove that two triangles are congruent to one another?
Answers
Answer:
SSS, SAS, ASA, AAS
Step-by-step explanation:
s = sides
a = angle
If ACDG~ AEDF, find the value of x.
F
2x + 7
48
D
5x2
40
E
G
Answers
The value of x for the given figure is 2.35 if triangle ΔCDG~ ΔEDF
What is meant by a triangle?Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The designation "triangle ABC" refers to a triangle containing the vertices A, B, and C. When three points are non-collinear in Euclidean geometry, they each produce a distinct triangle and plane. Since it was first described on the first page of Euclid's Elements, the vocabulary for classifying triangles is more than two thousand years old. Modern categorization names are either literal transliterations of Euclid's Greek or their Latin interpretations.
A closed triangle has 3 sides, 3 angles, and 3 vertices. It is a 2-dimensional shape. Polygons include triangles as well. ABC is used to signify a triangle in the previous illustration.
FD/DC=ED/DG
2x+7/48=5x-2/40
40(2x+7)=48(5x-2)
80x+280=240x-96
160x=376
x=2.35
Therefore, The value of x for the given figure is 2.35 if triangle ΔCDG~ ΔEDF
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what has the greatest value
Answers
Answer:
The greatest place value of a number is the first non-zero digit on the left in that number.
A cylindrical dog feeder is 18 inches tall and has a diameter of 8 inches if the feeder is currently half full, how much more food can be poured into the feeder? Use 22/7 for pie and round to the nearest cubic inch.
Answers
453 cubic units of food is poured to the cylindrical dog feeder of 18 inches tall and has a diameter of 8 inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that the cylindrical dog feeder is 18 inches tall and has a diameter of 8 inches
height is 18 inches
Diameter=8 inches
Radius =4 inches
The feeder is currently half full, how much more food can be poured into the feeder.
We know that volume of a cylinder is V=πr²h
Substitute the values of r and h in the given formula.
V=22/7(4)²×18
=22×16×18/7
=6336/7
=905.142.
As the feeder is currently half full, so let divide the volume by 2.
905.142/2
=452.5
=453
Hence, 453 cubic units more food is need or poured into the feeder.
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how many ways can a group of 7 adults and 4 children stand in a line if no two children are allowed to stand next to each other?
Answers
We can arrange the group in 120960 different ways.
Given,
Number of adults = 7
Number of children = 4
We have to find the number of ways they can stand when no two children are allowed to stand together;
Here,
Arrange 7 adults in a row of 7 ; 7
Number of arrangements = 7! = 5040
Consider that there are four possible placements for a child, but only one youngster can be placed in each of them: on either side of the row of adults, or in between two adults.
Consequently, pick one place for each youngster from the possibilities below: 4 for the first adult, 3 for the second,... the final adult's two options are = 4 × 3 × 2 = 24 arrangements
Add the two groupings together = 5040 × 24 = 120960
Therefore,
There is 120960 ways to arrange the standing position of the group.
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it is known that pre-schoolers, on average, spend three hours a week on tablets. i believe that this is no longer true, and that the average time that pre-schoolers spend on tablets differs in either direction from the previously given average. i calculate a z-test statistic of 1.74. what is my statistical decision?
Answers
Retain the null because 1.74 is greater than 1.645.
What is z - test statistic?
Any statistical test for which the test statistic's distribution under the null hypothesis can be roughly represented by a normal distribution is known as a Z-test.
Z-tests examine a distribution's mean.
Let X be the average time that prescholars spend on tablets.
X ~ N(μ, α^2)
To test H0: μ = 3 hours Vs H1: μ ≠ 3 hours.
The z - test statistic is obtained as 1.74.
Taking level of significance α = 0.05
Zα/2 = [tex]Z_0_._0_2_5 = 1.96[/tex]
Since the observed z - statistic is 1.74 which is less than Zα/2 = [tex]Z_0_._0_2_5 = 1.96[/tex],
so we retain the null hypothesis.
Hence, retain the null because 1.74 is greater than 1.645.
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Complete question:
Complete question is attached below.
Write a paragraph that explains how you solved the equation 4(t + 25) = 4(t + 50) - 4(0.15t). You may include equations as part of your explanation, but be sure to use correct math terminology and write in complete sentences.
Answers
The equation 4(t + 25) = 4(t + 50) - 4(0.15t) can be solved as explained below to determine the value of t, which is t = 166.67.
How to Solve an Equation?If we are given the equation, 4(t + 25) = 4(t + 50) - 4(0.15t), to find the value of the variable t, follow the steps explained below.
4(t + 25) = 4(t + 50) - 4(0.15t) [given]
Open the parentheses by applying the distributive property:
4t + 100 = 4t + 200 - 0.6t
Combine like terms:
4t + 100 = 3.4t + 200
4t - 3.4t = -100 + 200
0.6t = 100
Divide both sides by 0.6
0.6t/0.6 = 100/0.6
t = 166.67
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consider the following: the mayor of a town has proposed a plan for the annexation of a new community. a political study took a sample of 1,600 voters in the town and found that 69% of the residents favored annexation. using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 65%. what is the alternative hypothesis? group of answer choices
Answers
We can conclude that the mayor's plan for annexation is likely to be supported by the town's residents.
What do you mean by Annexation?
International law defines annexation as the forcible acquisition of one state's territory by another state, typically after the possession of the region by an occupying military force. In most cases, it is considered to be unlawful.
According to the question,
We have the given data:
A political study took a sample of 1,600 voters in the town and found that 69% of the residents favored annexation.
The conclusion of the hypothesis test is that we reject the null hypothesis that the percentage of residents who favor annexation is 65% or lower. The sample data suggests that 69% of residents favor annexation and the p-value associated with the test statistic is 0.07, which is less than the significance level of 0.05.
This indicates that the data is significantly different from the null hypothesis and that the true percentage of residents who favor annexation is likely greater than 65%.
Therefore, we can conclude that the mayor's plan for annexation is likely to be supported by the town's residents.
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