Refer to sheet attached. This whole problem is very intuitive. If you stare at it enough, it’ll all make sense.
Answer:
Angle 1: 130
Angle 2: 50
Angle 3: 130
Angle 4: 50
Angle 5: 130
Angle 6: 50
Angle 7: 130
Angle 8: 50
Step-by-step explanation:
Because angle 1 and 2 are supplementary we can just do 180-130 to find angle 2. Also angle 3 is same to angle 1 while angle 4 is same to angle 2. Also angle 5 would be 130 and we just repeat the same thing we did to angles 1-4.
Help #5-8 easy work thank you
Answer:
I got you
Step-by-step explanation:
9/10
1/3
3/4
1/2
At a party there is one bottle of coke for every 3 guests, one bottle of sprite for every 6 guests, and one bottle of lift for every 4 guests. There are 54 bottles of drink at the party. How many guests are there? At a party there is one bottle of coke for every 3 guests , one bottle of sprite for every 6 guests , and one bottle of lift for every 4 guests . There are 54 bottles of drink at the party . How many guests are there ?
Answer:
72 guests
Step-by-step explanation:
We can add up the numbers of bottles per guest, then use that total to find the number of guests from the number of bottles.
SetupLet g represent the number of guests at the party. Then there are ...
g/3 bottles of cokeg/6 bottles of spriteg/4 bottles of liftThe total number of bottles is ...
g(1/3 +1/6 +1/4) = 54
SolutionMultiplying by the inverse of the coefficient of g, we find its value to be ...
g(4/12 +2/12 +3/12) = g(9/12) = 54
g = 54(12/9) = 72
There are 72 guests at the party.
A marching band needs to raise $13,500 for a trip to the Rose Bowl. The director told the band members that one-third of the amount that has been raised so far is equal to half of the amount that is still needed. How much more money needs to be raised for the trip?
Answer: $5400
Step-by-step explanation:
x = amount raised so far
13500 - x = amt. still needed
x/3 = (13500 - x)/2
2x = 3(13500 - x)
2x = 40500 - 3x
5x = 40500
x = 40500/5 = 8100 (amt. raised so far)
13500 - 8100 = 5400 (amt. still needed)
Can anyone help me I am stuck on this question! and tysm for the people who helped me! <3 Have a nice day!
Answer:
115.24
Step-by-step explanation:
15.35*4.25=65.2375
65.2375+50=115.2375
115.2375≈ 115.24
Answer:
$84.95
Step-by-step explanation:
50+15.35=65.35
15.35+4.25=19.6
65.35+19.6=84.95
Find the missing angle measures ASAP
Answer:
theres so many missing angle messures, which one do you want lol
Step-by-step explanation:
A well-known basketball coach has coached at the same university for 20 years. After what
seems like an infinite number of seasons, he finds that the mean number of points his teams score
is 72. One year he has an exceptionally tall team. The coach wants to know if the taller team
results in a greater number of points scored. Assume 72 to be the population mean with the
population variance unknown. The taller téam's scores are: '80, 88, 74, 82, 89, 90, 68, 95, 96, 72,
73 (it was a short season).
State the null and research hypotheses.
1) Report degrees of freedom (if applicable).:
2) Report the critical value using alpha= .05.:
3) Calculate the test statistics. :
4) In two or three sentences, briefly explain the results
(This includes your decision concerning the null hypothesis). :
Null hypothesis: The mean number of points scored by the taller team is not significantly different from the population mean of 72.
How did we determine the test statistic?Alternative hypothesis: The mean number of points scored by the taller team is significantly greater than the population mean of 72.
Since the population variance is unknown, we will use a t-test. The degrees of freedom for this test will be 9 (n-1), where n is the sample size of the taller team (10).
Using an alpha level of 0.05 and 9 degrees of freedom, the critical t-value is 1.833.
To calculate the test statistic, we first need to find the sample mean and standard deviation of the taller team's scores. The sample mean is 82, and the sample standard deviation is 9.89. Using these values, we can calculate the t-value:
t = (82-72) / (9.89 / sqrt(10)) = 3.19
Since the calculated t-value (3.19) is greater than the critical t-value (1.833), we reject the null hypothesis and conclude that there is a significant difference between the mean number of points scored by the taller team and the population mean of 72. The coach can therefore conclude that having a taller team does result in a greater number of points scored.
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Distributive property
11(12+u)
Answer:
132+11u
Step-by-step explanation:
11 times 12 is 132
11 times u is 11u
The answer is:
132+11u
Answer:
11u+132
Step-by-step explanation:
Given algebraic expression:
11(12+u)
Using distributive property:
=(11)(12+u)=(11)(12)+(11)(u)=132+11u=11u+132If a three-digit number is divided by 5 or by 6, remainder is 1 in each case. What is the least such three-digit number?
Answer:
The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.
Step-by-step explanation:
This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.
How many solutions exist for the given equation?
3X + 13 = 3(x + 6) + 1
O zero
O one
O two
O infinitely many
There's no x , so no solution will be there therefore:
ans :- zero
All Done!
Hey there!
3x + 13 = 3(x + 6) + 1
3x + 13 = 3(x) + 3(6) + 1
3x + 13 = 3x + 18 + 1
3x + 13 = 3x + 19
SUBTRACT 3x to BOTH SIDES
3x + 13 - 3x = 3x + 19 - 3x
SIMPLIFY IT!
13 = 19
SUBTRACT 13 to BOTH SIDES
13 - 13 = 19 - 13
SIMPLIFY IT!
0 = 6
Thus, this mean that you have NO SOLUTION.
Therefore, your answer is: Zero (Option A.)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The area of the state of Nevada can be estimated using a trapezoid. Estimate the area of the state of Nevada.
A. 31,672 mi2
B. 78,980 mi2
C. 110,622 mi2
D. 131,327 mi2
Answer: 31,672 mi2
Step-by-step explanation:
The area of the state of Nevada can be estimated using a trapezoid
what is 550 x 34 ?????
Answer:
18,700
Step-by-step explanation:
Answer:
18,700
Step-by-step explanation:
i hope this helps
Solve for x
x^2 - 8x = -3
The solutions for the quadratic equation:
x^2 - 8x = -3
Are:
x = 7.6x = 0.4How to solve the quadratic equation?Here we want to solve the quadratic equation:
x^2 - 8x = -3
First we can move all the terms to the left side so we get:
x^2 - 8x + 3 = 0
Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:
\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)
Then the two solutions for the quadratic equation are:
x = (8 + 7.2)/2 = 7.6
x = (8 - 7.2)/2 =0.4
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Find X.
Round to the nearest tenth.
Answer:
Step-by-step explanation:
\(c^2=a^2+b^2-2ab\cos\theta\\ \\ \theta=\cos^{-1}\frac{a^2+b^2-c^2}{2ab}\\ \\ \theta=\cos^{-1}\frac{55^2+50^2-90^2}{2(55)50}\\ \\ \theta\approx117.9^o\)
Can someone help me solve this please?
Answer:
56
Step-by-step explanation:
just use you brain you can count
Answer:
i think its 99
Step-by-step explanation:
The perimeter of a trianglular pool is 36
yards the length of two sides or 10 yards and 15 yards how long is the third side
Answer:
11 yard
Step-by-step explanation:
Let the 3rd side be 'a'.
Perimeter = 36
=> sum of sides = 36
=> 10 + 15 + a = 36
=> 25 + a = 36
=> a = 36 - 25
=> a = 11
5+2(10-4) ask question?
Answer: It is 17
Step-by-step explanation:
5+2(10-4)
5+2(6)
5+12
17
Answer: 17
Step-by-step explanation: you just have to simplify
Hello please, I did not understand this exercise. In the plane referred to an orthonormal reference (o, i, j) place the points A, B, C and D defined by: A(6; 4); B(3; 7); C(12; -2); D(9; 7).
Show that C is the image of A by dilation with center B and ratio 3.
We have shown that C is the image of A by dilation with center B and ratio 3.
Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:
Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:
AB = A - B = (6 - 3, 4 - 7) = (3, -3)
Multiply the vector AB by the dilation ratio of 3:
3 AB = 3 (3, -3) = (9, -9)
Add the resulting vector to the coordinates of the center B:
BC = B + 3 AB = (3, 7) + (9, -9)
BC = (12, -2)
Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:
BC = (12, -2) = C
Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.
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Find the unknown angle for the following right triangle: Angle A Angle B Angle C A:? B:90 degrees C:27 degrees
The sum of the interior angles of a triangle is 180°.
Then, to solve this question, follow the steps below.
Step 01: Write an equation that represents the sum of the interior angles.
Given the angles ∠A, ∠B, and ∠C, then:
\(\angle A+\angle B+\angle C=180\degree\)Step 02: Substitute the known angles in the equation.
∠B = 90°
∠C = 27°
\(\begin{gathered} \angle A+90+27=180\degree \\ \angle A+117=180 \end{gathered}\)Step 03: Isolate ∠A.
To do it, subtract 117 from both sides.
\(\begin{gathered} \angle A+117-117=180-117 \\ \angle A=63\degree \end{gathered}\)Answer: ∠A = 63°.
AUTUMN ALSO SAVED $500 THAT SHE KEEPS AT HOME DOES NOT ADD TO IT WRITE A FUNCTION G(X) TO MODEL THIS SITUATION
The mathematical function that models Autumn's situation of saving $500 that she keeps at home and does not add to the savings is G(x) = 500 + 0x.
What is a mathematical function?A mathematical function is an equation, expression, rule, or law defining the relationship between the independent variable and the dependent variable.
There are many types of mathematical function, including:
Cubic functionLinear functionQuadratic functionPolynomial function.The amount that Autumn saved = $500
The amount that Autumn adds to the savings = $0
Let the number of periods that Autumn saves the above amount = x
Function:G(x) = 500 + 0x
Thus, based on the linear function above, the amount that Autumn saved would remain $500 after many periods.
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4. Claire jogs around an oval track and is able to complete one lap in 5 minutes.
If she jogs at the same pace for 42 minutes, how many laps would she be able
to jog? Write an inequality and find the number of whole laps Claire completes.
The inequality that represent how many laps she can do is "number of laps < 8.4".
Claire can jog a maximum of 8 laps in 42 minutes.
What number of whole laps did Claire completes?Since Claire can jog one lap in 5 minutes, we can use division to find how many laps she can complete in 42 minutes:
= 42 minutes / 5 minutes per lap
= 8.4 laps
However, since Claire cannot jog a fractional number of laps, we need to round down to the nearest whole number of laps. This is because she will have only completed a fraction of a lap by the time she reaches the end of the 42 minutes, and we want to know how many whole laps she completes. Therefore, we can write the inequality as "number of laps < 8.4".
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What is the area of this figure?
15 mm
4 mm
Submit
3 mm
3 mm
5 mm
5 mm
7 mm
8 mm
Write your answer using decimals, if necessary.
square millimeters
Due to the tide, the water level rises and falls daily in Buzzard's Bay. D gives the depth of the water, in meters, t hours after midnight on a certain day. What is the best interpretation for the following statement? The value of the derivative of D at t = 8 is equal to -0.5. Choose 1 answer a. At 8 a.m. the water level decreased at a rate of 0.5 meters per hour. b. At 8 a.m. the water level decreased at a rate of 0.5 meters. c. At 8 a.m. the water level was 0.5 meters below sea level. d. Until 8 a.m. the water level decreased at a rate of 0.5 meters per hour.
The correct interpretation for the statement D'(8) = -0.5 is (c) At 8 a.m. the water level was 0.5 meters below sea level.
How to interpret the function notation D'(n)From the question, we have the following parameters that can be used in our computation:
The function D gives the depth of the water, in meters, t hours after midnight on a certain day
This means that
D = depth in meters
t = time in hours
From the question, we have
Notation = D(n)
Also, from the question, we have
D'(8) = -0.5
This is the inverse of the function D(t)
So, the values of the parameters are
D(t) = -0.5
t = 8
This means that the number of hours is 8 and the depth is -0.5 meters
Hence, the interpretation of D'(8) = -0.5 is (c) At 8 a.m. the water level was 0.5 meters below sea level.
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The half‑life of sodium‑ 22 is 2.6 years. If there are initially 70 grams of sodium‑ 22, find a formula that gives the amount , in grams, remaining after t years.
A formula that gives the amount is
N(t) = 70 (0.5)^t/2.6How to find a formula that gives the amountThe half life of the element is calculated from the formula
N(t) = N'(1/2)^(t/t')
where
N(t) = quantity of the substance remaining
N' = initial quantity of the substance
t = time elapsed
t' = half life of the substance
Plugging the values from the problem
N(t) = ?
N' = 70 grams
t = t
t' = 2.6 years
N(t) = 70 (0.5)^t/2.6
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What type of association does the graph show?
A. positive nonlinear
B. positive linear
C. negative nonlinear
D. negative linear
Answer:
B. Positive linear
Step-by-step explanation:
First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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To prove a polygon is a rectangle which of the properties listed must be included in the proof
Answer:
if the diagonals of a parallelogram are congruent, then it's a rectangle (neither the reverse of the definition nor the converse of a property). If a parallelogram contains a right angle, then it's a rectangle (neither the reverse of the definition nor the converse of a property).
Step-by-step explanation:
(-7x^2+3)-(-4x-3)
(−7x
2
+3)−(−4x−3)
Answer:
-28x^3-28x^2+16x+15
Step-by-step explanation:-28x^3-28x^2+16x+15
Use integers to represent the values in the statement.
The highest elevation in a country is a mountain, with an altitude of 14,240 feet. The lowest elevation in the country is a valley, with an altitude of 285 feet below sea level.
The integer represents the mountain's altitude, measured in feet.
Answer:
Highest Elevation: 14240
Lowest Elevation: -285
Step-by-step explanation:
Given
\(Highest\ Elevation = 14,240\ ft\) above sea level
\(Lowest\ Elevation = 285\ ft\) below sea level
Required
Represent both altitudes as an integer
For the Mountain:
Take the sea level as 0 feet
\(Altitude = Highest\ Elevation - Sea\ Level\)
\(Altitude = 14240 - 0\)
\(Altitude = 14240\)
Hence, the integer is 14240
For the Valley:
Take the sea level as 0 feet
\(Altitude = Sea\ Level - Lowest\ Elevation\)
\(Altitude = 0 - 285\)
\(Altitude = -285\)
Hence, the integer is -285
Simplify 5-(6a-3b-8)
Answer:
Step-by-step explanation:
5- (6a-3b-8) BODMAS
-30a-15b-40
the Sims family drove 5 miles to the store and 3 miles to their grandparent's house. How
many yards did they drive in all?
Answer:
yards: 14080
miles: 8
that's basically it
Answer:
14080 yards
Step-by-step explanation:
A yard is 1/1760 mile, meaning 1 mile = 1760 yards.
5 miles + 3 miles = 8 miles
8 miles to yards = ?
8 x 1760 = 14080.
The Sims family drove 14.08k yds or 14080 yards.