Answer:
x=22
Step-by-step explanation:
the triangle in which x is in is an equilateral triangle.
44 is an exterior angle to that triangle.
an exterior angle is always equal to tbe sum of the opposite 2 interior angles.
because that triangle is equilateral
x =44 ÷ 2
x=22
cuantos minutos hay de diferencia entre 4.8 h y 5 h
Answer:
4.1 horas 246 min
4.7 horas 282 min
4.8 horas 288 min
4.9 horas 294 min
5 horas 300 min
Step-by-step explanation:
The ratio of the lengths of the sides of â–³ABC is 3:4:6. The perimeter of the triangle whose vertices are the midpoints of the sides of â–³ABC is 13 cm. What are the lengths of the sides of â–³ABC?
The length of the sides of triangle ABC are: 6, 8, and 12.
One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.
In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6
Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.
Hence, all three pairs of corresponding sides have the same proportion.
AB/DE = BC/EF = AC/DF = 1/2
Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.
ratio f sides : perimeter = 3 : 4 : 6 : 13
Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6
Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF
Length of the sides of triangle ABC are: 6, 8, and 12.
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Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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Find the slope of a line that passes through the points (8, 7) and (-8,
-1).
Answer:
m = 1/2
Step-by-step explanation:
mrs. watson is buying vintage records for a friend at a local records shop. Thre price of a record is based on its condition. The table shows the total cost of x number of records for each condition.
The equation for total cost of buying and shipping the records is
76.4x + 80
We have,
She buys 3 in good condition
So, the cost for 3 good condition
= 3 (10.5x)
= 31.5 x
and, She buys 1 in Fair condition
So, the for 1 fair condition
= 5x
and, She buy 2 new condition then the price is
= 39.9 x
So, the equation for total cost of buying and shipping the records is
= 31.5x + 5x + 39.9x + 8
= 76.4x + 8
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Allen was making trail mix, but he only wanted to make of the recipe. If the whole recipe called for of a cup of peanuts, how many cups will he need to make of the recipe? Choose the model that matches the situation.
It can be inferred that the amount of nuts that Allen requires depends on the amount of the recipe that he wants to make.
How many cups of nuts does Allen require to make the recipe?According to the information provided, one serving of the recipe calls for one cup of nuts. According to this, it can be inferred that to make a smaller or larger portion of the recipe, this amount must be divided or multiplied.
For example, if Allen calls for making two servings of the recipe, he would use two cups of nuts, while if he calls for making a half serving, he would use half a cup of nuts.
Note: The question is missing because there is some missing information. However I can answer it based on my general prior knowledge.
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Answer:
1/6
Step-by-step explanation:
What is the correct way to read 309.48
Three hundred and nine point four eight.
Answer:
three hundreds, nine ones. four tenths, eight hundredths
Step-by-step explanation:
the numbers are placed in certain spots from the decimal point that helps you decide which way to read the place
Part A and Part C the same? Why or why not?
Answer:
is part 1 and part 3 the same, no
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
Evaluate : 8 + 42 ÷ 7 - 6 =
8
Explanations:Given the expression below
\(8+42÷7-6\)According to the rule of PEMDAS, Division will come first to have;
\(\begin{gathered} 8+(42\div7)-6 \\ 8+6-6 \end{gathered}\)Followed by addition (A)
\(\begin{gathered} (8+6)-6 \\ 14-6 \end{gathered}\)Then Subtraction (S)
\(14-6=8\)The value of the given expression on simplification is 8
Miss Lianto mowed 2 7 of her lawn. Her son mowed 1 3 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!
8/21 of the lawn still needs to be mowed.
To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.
Miss Lianto's fraction: (2/7) x (3/3) = 6/21
Son's fraction: (1/3) x (7/7) = 7/21
To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:
Combined fractions mowed: 6/21 + 7/21 = 13/21
So, Remaining fraction: 1 - 13/21 = 8/21
Therefore, 8/21 of the lawn still needs to be mowed.
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Find the missing side length in the right triangle below.
Answer:
69
Step-by-step explanation:
1.
10% of the students in a graduating class study French and not
Japanese. 50% of the students who study Japanese also study
French. If 40% of the students in the graduating class study French,
what percentage of students in the graduating class study Japanese?
Answer:
school who study French also study Japanese, do more students at the school study french than Japanese? (1) 16 students at
8 x
105 is how many times as great as 8 x 10-l?
10 4
10 6
10 -4
10 -6
Answer:
10 6
................
The pilot of an airplane flying at an elevation of 5000 feet sights two towers that are 300 feet apart. If the angle of depression to the tower closer to him is 30, determine the angle of depression to the second tower.
Answer: 29.2 degree
Step-by-step explanation:
Given data:
Elevation of the pilot = 50,000 feet
Elevation of the two towers = 300 feet apart.
Depression of closer tower = 30
Solution:
The angle of depression to the second tower is x
tanx = 5000/(5000*√(3)+300)
x=29.2
Therefore the angle of depression of the second tower is at 29.2 degree
Answer:
29.2°
Step-by-step explanation:
From diagram (b)
Tan θ= opp/adj
Where θ = 30°
opp = 5000ft
adj = ?
tan 30° = 5000/x
x tan30° = 5000
x = 5000/tan 30
x = 5000/0.577
x = 8665.5ft
From diagram c
tan θ = opp/adj
Where θ = ?
opp = 5000
adj = 300+x
x= 8665.5
tan θ = 5000/300+8665.5
tan θ = 5000/8965.5
tan θ = 0.55769
θ = arch tan 0.55769
θ = 29.147
θ= 29.2°
1. The possible missing terms to make x²_____+100 a perfect square trinomial are
a. 4x and 25x.
b. -10x and 10x.
c. -20x and 20x.
d. -4x and -25x.
Answer:
c. -20x and 20x
Step-by-step explanation:
x² is the square of x.
100 is the square of 10 and of -10.
The middle term of (a + b)² is 2ab.
For b = 10:
2ab = 20x
for b = -10:
2ab = -20x
Answer: c. -20x and 20x
Lesson 1: What Is a Function?
A. Distinguish between relations and functions.
B. Calculate domain and range of functions algebraically.
C. Identify domain and range of functions graphically
Write an inequality comparing 3/4 and 2/4.
Answer:
3/4 > 2/4
Step-by-step explanation:
3/4 = 0.75
2/4 = 0.5
Therefore, 3/4 > 2/4
Linear functions f(x) and g(x) have been combined by addition and multiplication. The table shows values for the sum, s(x), and product, p(x).
Which statements correctly compare the sum and product? Check all that apply.
Both functions have a constant rate of change.
The sum is linear and the product is quadratic.
The x-intercepts are the same.
The sum has one y-intercept and the product has two x-intercepts.
Both functions decrease for x ≥ 2.
The statements that correctly compare the sum and product of the function are:
The sum is linear and the product is quadratic.The sum has one y-intercept and the product has two x-intercepts.What is a linear function?A linear function simply means a function that represents a straight line on the coordinate plane.
In this case, the sum is linear and the product is quadratic while the sum has one y-intercept and the product has two x-intercepts.
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find the product in lowest terms 24/18x2/17x34/3
Answer:
Step-by-step explanation:
To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:
(24/18) * (2/17) * (34/3)
First, we can simplify the fractions by reducing any common factors in the numerators and denominators:
24/18 = (212)/(29) = 12/9 = 4/3
2/17 = 2/17
34/3 = (2*17)/3 = 34/3
Now we can multiply the simplified fractions:
(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153
The product of the given fractions in lowest terms is 272/153.
4(-3)(-2)
How do
I do this?
Answer:
4(-3)(-2) = 24
Step-by-step explanation:
first solve the numbers in parenthesis.
4(-3)(-2)
= 4(6)
the negative sign cancels out in the product, because both of the numbers you multiplied are negative, which makes the product positive.
now solve for 4(6).
4(6) = 24
A researcher conducts an between-subjects study examining the
effectiveness of a memory enhancement program at an assisted living
facility for elderly adults. One group of residents is selected to
participate in the program, and a second group of participants serves as
a control group. After 6 weeks, the researcher reports a combined score
measuring memory for each individual. The data are:
Control
Exercise
n = 10
M = 12
SS = 120.5
n=15
M= 15.5
SS = 190.0
a) Does the exercise program have a significant effect? Use a two
tailed test with an alpha level of .05
b) Compute Cohen's d to measure the size of the treatment effect
H0: µ1 = µ2; The exercise program do not have significant effect on physical fitness, H1: µ1 =/ µ2; the exercise program had a significant effect on physical fitness and the Estimated Cohen's d is 0.82.
HypothesisA. Significant effect
H0: µ1 = µ2
Based on the above hypothesis the exercise program does not have significant effect on physical fitness
H1: µ1 =/ µ2
Based on the above hypothesis the exercise program had a significant effect on physical fitness
Pooled variance: sp2 = (190 + 120.5/(15-1) + (10-1)
Pooled variance: sp2 = 310.5/23
Pooled variance: sp2 =13.5
Estimated standard error ( sM1-M2):
sM1-M2 =√13.5/15 +13.5/10
sM1-M2 =√2.25
sM1-M2 = 1.5
Tailed test (t)
t = (15.5 - 12)/1.5
t=3.5/1.5
t= 2.33
B. Estimated Cohen's d:
Estimated Cohen's d = 3/√13.5
Estimated Cohen's d = 3/3.67
Estimated Cohen's d= 0.817
Estimated Cohen's d= 0.82 (Approximately); this is a large effect.
Conclusion demonstrating how the outcome of the hypothesis test would tend to appear in a research report is: (Reject H0). Because the group exercise program tend to have a significant effect on the physical fitness of elderly adults, t = 2.33, p <.05, d = 0.82.
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rectangular equation for the curve whose parametric equations are x = 2cosθ, y = cos2θ.
The rectangular equation for the curve is \(y = \frac{x^{2}}{2} -1\).
In this question, we have a set of parametric equation which must be reduced into a single rectangular equation both by algebraic and trigonometric means, that is to say:
\(x = f(\theta), y = g(\theta) \to y = h(x)\)
If we know that \(x = 2\cdot \cos \theta\) and \(y = \cos 2\theta\), then the rectangular equation is:
\(y = \cos 2\theta\)
\(y = \cos^{2}\theta - \sin^{2}\theta\)
\(y = 2\cdot \cos^{2}\theta -1\)
\(\cos \theta = \frac{x}{2}\)
\(y = 2\cdot \left(\frac{x}{2} \right)^{2}-1\)
\(y = \frac{x^{2}}{2} -1\)
The rectangular equation for the curve is \(y = \frac{x^{2}}{2} -1\).
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find the opposite of the integer 10
a. Consider the situation where you have three game chips, each labeled with one of the the numbers 3, 5, and 10 in a hat a. If you draw out 2 chips without replacement between each chip draw, list the entire sample space of po ssible results that can occur in the draw Use the three events are defined as follows, to answer parts b through n below:
Event A: the sum of the 2 drawn numbers is even.
Event B: the sum of the 2 drawn numbers is odd.
Event C: the sum of the 2 drawn numbers is a prime number
Now, using your answer to part a find the following probability values
b. P (A)=
c. P (B)=
d. P (C)=
e. P (A and C)-=
f. P(A or B)=
g. P (B andC)=
h. P(A or C)- =
i. P (C given B)=
j. P(C given A)=
k. P (not B)=
l. P (not C)=
Are events A and B mutually exclusive?Why or why not?
Are events B and C mutually exclusive? Why or why not?
Answer:
a) {3,5}{3,10}{5,10}
b) \(P(A)=\frac{1}{3}\)
c) \(P(B)=\frac{2}{3}\)
d) \(P(C)=\frac{1}{3}\)
e) \(P(A and C)=0\)
f) \(P(A or B)=1\)
g) \(P(B and C)=\frac{1}{3}\)
h) \(P(A or C)=\frac{2}{3}\)
i) \(P(C given B)=\frac{1}{2}\)
j) \(P(C given A)=0\)
k) \(P(not B)=\frac{1}{3}\)
l) \(P(not C)=\frac{2}{3}\)
Yes, events A and B are mutually exclusive. Because the results can either be even or odd, not both. No, events B and C are not mutually exclusive because the result can be both, odd and prime.
Step-by-step explanation:
a)
In order to solve part a of the problem, we need to find the possible outcomes, in this case, the possible outcomes are:
{3,5}{3,10} and {5,10}
We could think of the oppsite order, for example {5,3}{10,3}{10,5} but these are basically the same as the previous outcomes, so we will just take three outcomes in our sample space. We can think of it as drawing the two chips at the same time.
b)
Now the probability of the sum of the chips to be even. There is only one outcome where the sum of the chips is even, {3,5} since 3+5=8 the other outcomes will give us an odd number, so:
\(P=\frac{#desired}{#possible}\)
\(P(A)=\frac{1}{3}\)
c) For the probability of the sum of the chips to be odd, there are two outcomes where the sum of the chips is odd, {3,10} since 3+10=13 and {5,10} since 5+10=15 the other outcomes will give us an even number, so:
\(P(B)=\frac{2}{3}\)
d) The probability of the sum of the chips is prime. There is only one outcome where the sum of the chips is prime, {3,10} since 3+10=13 the other outcomes will give us non prime results, so:
\(P(C)=\frac{1}{3}\)
e) The probability of the sum of the chips to be even and prime. There are no results where we can get an even and prime number, since the only even and prime number there is is number 2 and no outcome will give us that number, so:
P(A and C)=0
f) The probability of the sum of the chips is even or odd. We can either get even or odd results, so no matter what outcome we get, we will get an odd or even result so:
\(P(A or B)=1\)
g) The probability of the sum of the chips is odd and prime. There is only one outcome where the sum of the chips is odd and prime, {3,10} since 3+10=13 the other outcomes will give us non prime results, so:
\(P(B and C)=\frac{1}{3}\)
h) The probability of the sum of the chips is even or prime. There are two outcomes where the sum of the chips is even or prime, {3,10} since 3+10=13 and {3,5} since 3+5=8 so:
\(P(A or C)=\frac{2}{3}\)
i) The probability of the sum of the chips is prime given that the sum of the chips is odd. There are two possible results where the sum of the chips is odd {3,10} and {5,10} and only one of those results is even, {3,10}, so
\(P(C given B)=\frac{1}{2}\)
j) The probability of the sum of the chips is prime given that the sum of the chips is even. There is only one possible even result: {3,5} but that result isn't prime, so
\(P(C given A)=0\)
k) The probability of the sum of the chips is not odd. There is only one outcome where the sum of the chips is not odd (even), {3,5} so:
\(P(not B)=\frac{1}{3}\)
l) The probability of the sum of the chips is not prime. There are two outcomes where the sum of the chips is not prime, {3,5} and {5,10} so:
\(P(not C)=\frac{2}{3}\)
Are events A and B mutually exclusive?
Yes, events A and B are mutually exclusive.
Why or why not?
Because the results can either be even or odd, not both.
Are events B and C mutually exclusive?
No, events B and C are not mutually exclusive.
Why or Why not?
Because the result can be both, odd and prime.
please help me !!!!
9514 1404 393
Answer:
(a) 260 square centimeters
Step-by-step explanation:
The figure consists of a 10 cm square and four congruent triangles with base 10 cm and height 8 cm. Using the formulas for the area of a square and a triangle, the total area is ...
area = square area + 4 × triangle area
area = s² + 4×(1/2bh) = (10 cm)²+ 2(10 cm)(8 cm) = (100 +160) cm²
area = 260 cm²
HELPPPPP !!!
Alex wrote the following equation based on the description: "a reflected absolute value
function translated 4 units left and 2 units up". What mistake did he make when writing his
equation? *
(1 Point)
f (x) = -x + 4 - 2
Alex's equation has the wrong function family
c
Alex's equation has the function going down instead of up
Alex's equation has the function going right instead of left
Alex's equation is not a reflected function
2
Answer:
Alex has the wrong function family
Step-by-step explanation:
it says that it is 2 going up not down
Indicated measure for circle o
Answer:
number a should be half of 82 which is 41
for question b is two times 26 which is 52
Please help me I don’t understand.
Total change in money:-
\(\\ \tt\longmapsto 15+(-65)+40+(-15)\)
\(\\ \tt\longmapsto 15-65+40-15\)
\(\\ \tt\longmapsto 15-15-65+40\)
\(\\ \tt\longmapsto -25\$\)
Now.Current balance:-
\(\\ \tt\longmapsto 95-25=\$70\)
Answer:
$70.
Step-by-step explanation:
Balance = 95 + 15 - 65 + 40 - 15
= 110 - 65 + 40 - 15
= 45 + 40 - 15
= 85 - 15
= $70.
what is 73 division 84,649
73 division 84, 649 would give 8. 64 × 10^-4
How to determine the valueIn order to determine the value of the division, we have
= \(\frac{73}{84649}\)
Using the calculator, put the values in
We would have
= 8. 64 × 10^-4
Thus, 73 division 84, 649 would give 8. 64 × 10^-4
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What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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