Answer:
24 + 10 = 34
Step-by-step explanation:
a. 24 + b. 10 = ?= c. 34
Coach G wants to buy new shoes for his 12 players. Modell’s is offering a 20% discount on each pair of shoes, which were originally priced $72.50. A 6.5% sales tax will be applied to the discounted price. The same shoes are also available on Jimmy Jazz’s website for $54.75. A 9% processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for each shoe. What is the difference in the total costs of the 12 pairs of shoes between the two stores?
Solve the following equations without calculator. Loga (2x) = 1/2
The equation Loga(2x) = 1/2 can be simplified to x = (a¹/²)/2.
What is step by step proccedure to find solution of the equation?To solve the given equation: Loga(2x) = 1/2. We will solve this equation step-by-step using the given terms.
Step 1: Convert the logarithmic equation to exponential form.
We know that Loga(b) = c can be rewritten as a^c = b. So, in our case, the equation becomes:
a¹/² = 2x
Step 2: Isolate x.
We want to find the value of x, so we need to isolate it. To do this, divide both sides of the equation by 2:
(a¹/²)/2 = x
And that's the solution! The equation Loga(2x) = 1/2 can be simplified to x = (a¹/²)/2.
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1- Write the equation of each line in slope‐intercept form.
2- Find the slope between (4,5) and (‐3, 6).
The equation of the line passing through the points (0, 2) and (3, 0) is
y = -2/3 x + 2.The equation of the line passing through the points (0, -4) and (5, -1) is
y = 3/5 x + 4The slope between the points (4,5) and (‐3, 6) is -1/7.
How to find the equation of the lineThe equation of a line in slope intercept form is written as
y = mx + c
where
m = slope and c is the y- intercept
From the graph points (0, 2) and (3, 0) is used
To find the equation of the line passing through the points (0, 2) and (3, 0), we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)
m = (y2 - y1) / (x2 - x1)
m = (0 - 2) / (3 - 0)
m = -2/3
substitute in the point-slope form of the equation of a line. using point (0, 2):
y - y1 = m(x - x1)
y - 2 = (-2/3)(x - 0)
y - 2 = (-2/3)x
y = (-2/3)x + 2
For the second line points (0, -4) and (5, -1) is used
m = (-1 + 4) / (5 - 0)
m = 3/5
Using point (0, 4)
y - y1 = m(x - x1)
y - 4 = (3/5)(x - 0)
y - 4 = 3/5 x
y = 3/5 x + 4
The slope between two points (x1, y1) and (x2, y2) can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
slope = (6 - 5) / (-3 - 4)
slope = 1 / (-7)
slope = -1/7
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The figure shown has a total area of 168 cm².
Which equation can be used to find
the value of a?
168 18 12 + 2x x
168 = 18 x+12 2x
168 18 + 12-3x
168 18 3z + 12 2x
18 cm
x cm
2x cm
12 cm
Answer:
Second option 168= 18.X + 12.2X
Step-by-step explanation:
Area of the shape is in two parts,
Are of the larger rectangle is Lenght x width
Lenght is 12cm and width is x +2x
Area = 12 x 3x = 36x cm²
Area of the smaller rectangle = 6 x X = 6xcm²
Total area 36x + 6x = 168cm²
Another method
Find the area of the big rectangle including the cut off area
Lenght x width = 18 x (2x + X)
Area =18 x 3x or 18.3x
Calculate the white area
Length x width = 6 x 2x = 12x
Deduct the white area from the larger area
168= 18.3x - 12x
Third method
Divide the rectangle from top down
First rectangle length x width = 18x X or 18x
Second rectangle length x width = 12 x 2x
168= 18. x + 12 . 2x
The correct equation which can be used to find the value of x is,
⇒ 168 = 18 × x + 12 × 2x
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The figure shown has a total area of 168 cm².
Now, We can find as;
Area of rectangle = Length x width
Hence, We can formulate;
⇒ 18 × x + 12 × 2x = 168
Thus, The correct equation which can be used to find the value of x is,
⇒ 168 = 18 × x + 12 × 2x
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a sample of 900900 computer chips revealed that 69i% of the chips do not fail in the first 10001000 hours of their use. the company's promotional literature claimed that more than 65e% do not fail in the first 10001000 hours of their use. is there sufficient evidence at the 0.010.01 level to support the company's claim? state the null and alternative hypotheses for the above scenario.
In statistics, hypothesis testing is one of the most important techniques used to test claims or statements regarding population parameters. The hypothesis testing process consists of six steps, including state the null and alternative hypotheses.
Null Hypothesis, H0: p ≤ 0.65 Alternative Hypothesis, Ha: p > 0.65 Where p is the proportion of computer chips that do not fail in the first 1000 hours of their use. Now we have to check whether there is sufficient evidence at the 0.01 level to support the company's claim or not. For this, we use the following formula to compute the z-score for the sample proportion.
\($$z=\frac{p-_0}{\sqrt{_0(1−_0)/}}$$\) where
p0 = 0.65 (assumed under null hypothesis)
p = 0.69 (sample proportion)
n = 900 (sample size) Now, we have,
\($$z=\frac{0.69-0.65}{\sqrt{0.65(1−0.65)/900}}$$ $$\implies z=\frac{0.04}{0.0156}=2.564$$\)
The null and alternative hypotheses for the given scenario are H0: p ≤ 0.65 and Ha: p > 0.65. At the 0.01 level, there is sufficient evidence to support the company's claim that more than 65% of computer chips do not fail in the first 1000 hours of their use.
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The distance that an object falls varies directly as the square of the time the object is in motion. If an object falls for 3 seconds, it will fall 144. 9 feet. To estimate the height of a cliff, a person drops a stone at the edge of the cliff and measures how long it takes for the stone to reach the base. If it takes 3. 5 seconds, what is the height of the cliff?
As per the given equation the height of the cliff is 196.225 feet.
How to calculate the distance of an object in motion?We know that the distance an object falls varies directly as the square of the time it is in motion, meaning that the distance is proportional to the square of the time. If we let d be the distance fallen and t be the time, we can write this relationship as \(d = kt^2\) for some constant of proportionality k.
We also know that when an object falls for 3 seconds, it falls 144.9 feet. We can use this information to find the value of k:
\(144.9 = k(3^2)\)
k = 16.1
Now that we know the value of k, we can use it to find the distance fallen when the time is 3.5 seconds:
\(d = kt^2\\d = 16.1(3.5^2)\\d = 16.1(12.25)\\d = 196.225\)
So, the height of the cliff is 196.225 feet.
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Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters
(11) The measure of angle IGJ is 46⁰.
(12) The measure of arc JH is determined as 138⁰.
What is the measure of the arc or central angle indicated?The measure of the arc or central angle indicated is calculated as follows;
(11) The measure of angle IGJ is calculated as follows;
m∠LGK = arc angle LK (interior angle of intersecting secants)
m∠LGK = 48⁰
m∠HGI = m∠LGK = 48⁰ (vertical opposite angles are equal)
m∠IGJ + m∠HGI + m∠JGK = 180⁰ (sum of angles in a straight line)
m∠IGJ + 48⁰ + 86⁰ = 180
m∠IGJ = 180 - 134
m∠IGJ = 46⁰
(12) The measure of arc JH is calculated as follows;
arc JH = arc JI + arc IH
arc JI = arc FG
arc FG = 180 - 137⁰ (sum of angle in a straight line)
arc FG = 43⁰
arc FG = arc JI (vertical opposite angles are equal)
arc JH = arc JI + arc IH
arc JH = 43⁰ + 95⁰
arc JH = 138⁰
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Identify the equation that describes the line in slope-intercept form. slope = 3/4 , point (2, 2) is on the line
Answer:
Step-by-step explanation:
You have more than 1/2 the solution just by knowing the slope.
General equation
y = mx + b where m is the slope and b is the y intercept.
m = 3/4
Solution
y = 3/4 x + b Now you need the point to solve for b
x = 2
y = 2 Substitute these values into the line
2 = 3/4 * 2 + b Simplify the right
2 = 1 1/2 + b
2 = 3/2 + b Subtract 3/2 from both sides
2 - 3/2 = b Combine
1/2 = b
So the y intercept is 1/2
Answer
y = 3/4 x + 1/2
or
y = 0.75 x + 0.5
Expand the binomial using the Binomial Theorem.
(3c − d)^3
Answer:
\(27c^3-27c^2d+9cd^2-d^3\)
Step-by-step explanation:
Binomial Theorem
\((a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n\)
\(\textsf{If }(a+b)^n=(3c-d)^3 \: \textsf{ then}:\)
a = 3cb = -dn = 3Substitute the given values into the formula:
\(\begin{aligned}(3c-d)^3 & =(3c)^3+\dfrac{3!}{1!(3-1)!}(3c)^{3-1}(-d)+\dfrac{3!}{2!(3-2)!}(3c)^{3-2}(-d)^2+(-d)^3\\\\& =(3c)^3+3(3c)^2(-d)+3(3c)^1(-d)^2+(-d)^3\\\\& =27c^3-27c^2d+9cd^2-d^3\end{aligned}\)
Complete as a indirect proof
1. (Z & M) ⊃(S V A) 2. Z ⊃~S /Z⊃D (~A~M)
Z ⊃ D holds as a result of the indirect proof. Contradiction: our initial assumption ~A ~M is false. Hence, Z ⊃ D holds as a result of the indirect proof.
To complete the proof using indirect proof, we need to assume the opposite of what we want to prove and derive a contradiction.
Here's how we can approach it:
1. (Z & M) ⊃ (S V A) [Given]
2. Z ⊃ ~S [Given]
Assume Z ⊃ D. We want to show that ~A ~M follows from this assumption.
3. Assume ~A ~M (for indirect proof)
4. From 3, we have ~A (by simplification)
5. From 3, we have ~M (by simplification)
Now, let's derive a contradiction:
6. From 4, we have A ⊃ S (by contrapositive of 1)
7. From 5, we have M ⊃ S (by contrapositive of 1)
Since we have assumed Z ⊃ D, we can derive:
8. Z ⊃ ~S ⊃ ~M (by hypothetical syllogism from 2 and 7)
9. From 8, we have Z ⊃ ~M (by transitivity)
Now, let's derive another contradiction:
10. From 9, we have Z ⊃ ~M (repeated assumption)
11. From 10, we have Z ⊃ S (by contrapositive of 7)
Finally, let's use the assumption Z ⊃ D to derive the desired contradiction:
12. From 11, we have ~S (by hypothetical syllogism from 10 and 2)
13. From 11 and 12, we have S & ~S (by conjunction)
Since we have derived a contradiction, our initial assumption ~A ~M is false.
Therefore, Z ⊃ D holds as a result of the indirect proof.
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A sample of students will be selected from all the students at a high school. Which of the following sampling methods is least likely to produce a representative sample of the students?
From a randomly chosen home basketball game, choose every tenth student who enters the gymnasium.
Convenience sampling is the least likely to produce a representative sample of the students.
What is convenience sampling?Using the convenience sampling technique, individuals are chosen based on their accessibility and availability. This kind of sampling is frequently employed in studies when the objective is to swiftly collect data from a sample group rather than to acquire a representative sample of the population. If a person is willing to engage in the study to the researcher, they are chosen for convenience sampling. The primary advantage of this strategy is that it is very simple and quick to apply; however, the primary downside is that the sample may not be representative of the population. This can result in skewed or false findings.
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-2(5x + 1) > 49
Solve for the inequality and enter your solution
Answer:
x < -51/10
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-2(5x + 1) > 49
Step 2: Solve for x
[Division Property of Equality] Divide -2 on both sides: 5x + 1 < -49/2[Subtraction Property of Equality] Subtract 1 on both sides: 5x < -51/2[Division Property of Equality] Divide 5 on both sides: x < -51/10Answer:
x < -51/10
Step-by-step explanation:
-10x -2 > 49
-10x > 51
x < -51/10
En un pastel que se quiere repartir a 5 personas, se logran generar 8 piezas al cortarlo, cual de las siguientes expresiones refleja esta acción: ⅕ ⅝ ¾
Answer:
La respuesta es 1/5.
Step-by-step explanation:
porque el 1 pastel se divide en 5 personas.
Espero que esto ayude.
The number 2200 is first increased by 30%. The value obtained is next decreased by 50%. Find the final number.
What is the answer to ... 7x-18=x
Answer:
x=3
Step-by-step explanation:
7x-18=x
Subtract 7x from each side
7x -18-7x = x-7x
-18 = -6x
divide each side by -6
-18/-6 = -6x/-6
3 =x
how to find the only one fake coin from 8 coins, which looks the same and you do not know whether the fake coin is heavier or lighter, in 3 weighs.
To find only one fake coin from 8 coins can be done in two weighings.
Divide the coins into three groups, A, B, and C, each consisting of three coins.
A and B are first weighed against one another. If the balancing scale is straight, fake coins belong in group C; otherwise, they belong in A or B, depending on which side of the scale is up.
Finding the lighter fake coin requires a second weighing if the first weighing indicates that the fake coins are in group C. Weigh any two phony coins from the group if A/B. The third coin is phony if the scale is balanced; else, choose the coin that is lighter.
For 3 weighing, make pair of 4 and followed by pair of 2 for the lighter group. At last, compare the last 2 coins to find the lighter coins.
8 → 4 →2 →1
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ABCD is a square. Square A B C D is shown. A diagonal is drawn from point A to point C. The measure of angle B A C is question mark. What is the measure of angle BAC? 30° 45° 60° 90
Answer:
45°
Step-by-step explanation:
Since the diagonal cuts the square into two triangles, the angles b, a, and , c all add up to 180°. Because the shape is a square we know that one of the angles is right/90° meaning the two remaining angles are 45°. Angles a, and c had the diagonal drawn through so those two angles are each 45° and b is 90°, and since they are asking for bac we know that they want the middle angle, i.e angle A.
Since ABCD is a square, and AC is the diagonal of the square, therefore, the measure of angle BAC would be: B. 45°.
What is a Square?A square is a quadrilateral that has four interior angles of 90 degrees each, and also has four equal sides.The diagonal of a square bisects each vertex of the square into equal halves.Thus, since ABCD is a square, and AC is the diagonal of the square, therefore, the measure of angle BAC would be: B. 45°.
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Shashwat lent a sum of 44,000 to his friend Rahul at 10% p. a. After 25 year his friend paid him Rs. 40,000 with a cow, what was the cost of the cow?
The cost of the cow is Rs. 1,14,000.
To solve this problem
The loan's interest is determined as follows:
Interest is calculated as follows: Principal x Interest Rate x Time
where
Principal = 44,000 RupeesRate = 10% annuallyDuration: 25 yearsTherefore, the loan's interest is calculated as follows: Interest = 44,000 x 0.10 x 25 = Rs. 1,10,000
Shashwat received Rs. 40,000 from Rahul in addition to the price of the cow. This sum should equal the loan's principal + interest:
Principal + Interest = Rs. 44,000 + Rs. 1,10,000 = Rs. 1,54,000.
Thus, the price of the cow can be calculated by deducting Rs. 40,000 from the total:
The cow's price is = Rs. 1,54,00 - Rs. 40,000, = Rs. 1,14,000.
Therefore, the cost of the cow is Rs. 1,14,000.
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when you have a multiplication problem, what do you do to the exponents?
Answer:
When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.
Step-by-step explanation:
due very soon but I can buy myself some time.
please at least explain how to do it and/or how to set it up.
also, ignore the empty set sign on 5 I realized it was probably wrong but didn't want to take another picture
Answer:
4) 16√3 in²
5) 63 cm²
Step-by-step explanation:
The formula to use in these cases is ...
A = (1/2)ab·sin(θ)
where a, b are the side lengths and θ is the angle between them.
It helps to know the trig functions of the "special" angles used here.
sin(120°) = sin(60°) = (√3)/2
cos(60°) = 1/2
sin(135°) = cos(45°) = (√2)/2
__
4) The external angle at the base is the supplement of 120°, so is 60°. Then the length of the missing segment between the end of the base and the right angle at h is ...
x = (8 in)cos(60°) = (8 in)(1/2) = 4 in
So, the bottom edge of the triangle is 12 in - 4 in = 8 in.
The area is ...
A = (1/2)(8 in)(8 in)sin(120°) = (1/2)64(√3)/2 in² = 16√3 in²
__
5) As in the previous problem, the difference between the given horizontal dimension and the base of the triangle is ...
x = (18 cm)cos(180°-135°) = 18(√2)/2 cm = 9√2 cm
Then the base of the triangle is ...
16√2 cm -9√2 cm = 7√2 cm
The area is then ...
A = (1/2)(18 cm)(7√2 cm)(√2)/2 = 63 cm²
please halp!!!! ILL BRAINLIST AND GIVE 23 POINTS
Answer: D, C = 0.02t + 40
Answer:
D
Step-by-step explanation:
i believe D because he's paying that money so he will have to add it.
also i had this question
Which algebraic expression represents "the product of a number and eight"? 8 + n 8n n – 8 StartFraction n Over 8 EndFraction
Answer: 8n
Step-by-step explanation:
Suppose the number is 'n'
Its product with number eight is given by
\(\Rightarrow n\times 8=8n\)
Answer:
8n
Step-by-step explanation:
edguenity 2020-2021
Question 2 of 10Watermelons are on sale for $3 each, but customers can buy no more than 4at this price.For watermelons bought at the sale price, the total cost, y, is directlyproportional to the number bought, x. This function can be modeled by y = 3x.What is the domain of the function in this situation?OA. (0, 1, 2, 3, 4)O B. (0, 3, 6, 9, 12)OC. All positive numbers, x > 0OD. (0, 1, 2, 3,...)
The domain is the set of all possible x values.
Given x can assume the values of 0, 1, 2, 3, and 4 (no more than 4 melon can be bougth).
D = (0, 1, 2, 3, 4).
Answer: D = (0, 1, 2, 3, 4).
Urgent Question, 50 points and will mark brainliest.
Part A
Describe a relationship that can be modeled by the function represented by the graph, and explain how the function models the relationship.
Part B
Identify and interpret the key features of the function in the context of the situation you described in part A.
A key feature is there is a constant y-value level between x values from 0 to 15 and there is a parabolic curve from x-values of 15 to 65. The vertex is at (3, 45)
How to get the relationship between graphs?A) This is a parabolic graph and from the graph, we see that, the y-values remain the same from x-values of 0 to 15. Thereafter the x-values increases with a corresponding decrease in y-values until the vertex point before increase in x-values with corresponding increase in y-values.
A relationship could be: Battery percentage remains at the mark of 40 for the first 15 minutes of use. Thereafter, it begins to decrease parabolically until 45 minutes when it it is almost at 0 level and is charged before it starts to increase in a parabolic manner again for another 20 minutes when it increases linearly.
B) A key feature is there is a constant y-value level between x values from 0 to 15 and there is a parabolic curve from x-values of 15 to 65. The vertex is at (3, 45)
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9) If point B with coordinates (5, 2) is dilated by a scale factor of 3, what will be the coordinates of the image point B'?
Answer
Option A is correct.
B' (15, 6) is the answer.
Explanation
To dilate a given coordinate (x, y) about the origin by a scale factor of n, we will obtain (nx, ny).
So, for the given coordinate (5, 2), dilating by the scale factor of 3, we will obtain
B (5, 2) = B' (5×3, 2×3) = B' (15, 6)
Hope this Helps!!!
The density curve below represents the number of minutes Joseph spent getting dressed for school each
morning this past school year.
which of the following statements are true?
Answer: C) the height of the density curve is 0.5
Step-by-step explanation: Khan academy
Answer:
A & B
Step-by-step explanation:
Got it right
Find the population mean or sample mean as indicated. Sample: 17, 12, 7, 10, 9 - Select the correct choice below
and fill in the answer box to complete your choice. O A. H = O B. X=
Answer:
11
Step-by-step explanation:
a "mean" is an average of a data set.
you can find this by adding all terms together (17 + 12 + 7 + 10 + 9)
and then dividing by the total number of terms (in this case, 5)
so, your equation would be (17 + 12 + 7 + 10 + 9 = 55) 55 / 5
55 / 5 = 11
so, for this example, 11 would be the mean
....
further explanation:
if the concept of adding terms and dividing to get an average is confusing, try thinking about it with fewer terms,
so the average of 2 and 4 is halfway (1/2) between them. so, 2+4 (6) / 2 = 3
3 is midway between
so, lets say we want to find the average of 3 numbers, like 2, 4, and 6. we want to find the number in between all of these. so like we did for the previous, add 2+4+6 (12) and divide by 3 [# of terms) to get 4.
hope this helps!
You need a piece of paper to measure 64 Dash 25 cylinders if you take two together that each measure 38.4 silver meters how much do you need to cut off
Answer:
The length needed to cut off is 12.55 cm
Step-by-step explanation:
The corrected question is:
you need a piece of paper to measure 64.25 cm. If you tape two together that each measure 38.4 cm, how much do you need to cut off?
Solution:
measurement/length of each paper piece = 38.4 cm
measurement/ length required = 64.25 cm
If length of one paper piece is 38.4 cm then if we tape 2 pieces together then the measurement or length is calculated as:
38.4 + 38.4 = 76.8 cm
So to calculate how much we need to cut off:
length required to cutoff = total length of two pieces - length required
= 76.8 - 64.25
= 12.55 cm
So the length required to cut off is 12.55 cm
it takes exactly 26 paper clips laid end to end to make a length of 17 7/8 inches estimate the length of each paper clip
The estimated length of each paper clip is 0.6785 inches.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, it takes exactly 26 paper clips laid end to end to make a length of \(17\frac{7}{8}\) or (17×8 + 7)/8 = 143/8 inches.
∴ The length of each clip is (143/8)/26 inches.
= 0.6785 inches.
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Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the number of nickels in the collection?
Answer:
N + D = 175
.05N + .10D = $13.30
Step-by-step explanation:
You need a system of equations to get the correct answer that applies to both constraints.
Answer:
3
Step-by-step explanation: