Answer: The length of the side is 14 inches
Step-by-step explanation: Using the formula V=(b^2xh):3
Input the numbers we are given: 196=(b^2x3):3 now calculate 196=(14^2x3):3 side b=14 inches
Pls
Assistance and steps
What is the inverse of y = 3/2x?
Answer:
option (1)
Step-by-step explanation:
rearrange making x the subject, then x is the inverse
y = \(\frac{3}{2}\) x ( multiply both sides by 2 to clear the fraction )
2y = 3x ( isolate x by dividing both sides by 3 )
\(\frac{2}{3}\) y = x
change y back into terms of x , then inverse is
\(f^{-1}\) (x) = \(\frac{2}{3}\) x , or
y = \(\frac{2}{3}\) x
find the distance better the following points using the Pythagorean theorem
Answer:
C I believe
Step-by-step explanation:
1. What value of x makes the equation 12x - 15 = 6 - 3x true?
Answer:
x=1.4
Step-by-step explanation:
add 3x to both sides to get 15x-15=6
Then add 15 to both sides to get 15x=21
Then divide by 15 on both sides to get x=1.4
Answer:
x = 7/5
Step-by-step explanation:
Step 1: Write out equation
12x - 15 = 6 - 3x
Step 2: Add 3x to both sides
15x - 15 = 6
Step 3: Add 15 to both sides
15x = 21
Step 4: Divide both sides by 15
x = 7/5
Louis is very hungry when he spots a hot dog stand. The stand sells soft drinks for $1.25 each and hot dogs for $2.50 each. Louis has $21 in his pocket and he really wants to buy one soft drink and as many hot dogs as he can purchase. How many hot dogs can he buy?
Answer:
7 hot dogs
Step-by-step explanation:
Set up an equation:
2.5x + 1.25 = 21
2.5x = 19.75
x = 7.9
You cannot buy .9 of a hot dog, so the answer is 7
Help me!!!!!!! Please!!!!!!
Answer:
y=2/2 x -800
Step-by-step explanation:
if you look the line intercepts Y at -800 and slope form is y=mx+b and B is your Y-intercept so you can easily find that. Now the next time the line touches a point on the graph is 2 points up and 2 points to the right, so your slope is 2/2. Remember your slope is always rise over run.
Define Chi square test OR Tests of significance based on Chi-Square. A: -Various tests of significance described previously have mostly applicable to only quantitative data and usually to the data which are approximately normally distributed. It may also happens that we may have data which are not normally Inference: (i) If Z0 ≤ Ze we accept the H0 (ii) If Z0 >Ze we reject the H0 Example: A test of the breaking strengths of two different types of cables was conducted using samples of n1 = n2 = 100 pieces of each type of cable. Do the data provide sufficient evidence to indicate a difference between the mean breaking strengths of the two cables? Use 0.01 level of significance. x = 1925 and sigm = 40 and X2 = 1905, sigma = 30
The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.
The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.
To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.
Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.
To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.
Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.
If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.
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BIG IDEAS MATH
#5
i
Find the value of x.
(x + 10)
640
The value of x is
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1
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10
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Answer:
106
Step-by-step explanation:
See attached
The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.
Calculate angle PRO.
Answer:
m<PQR = 18.7°
Step-by-step explanation:
Apply the Law of Sines,
\( \frac{Sin A}{a} = \frac{Sin B}{b} \)
Where,
Sin A = Sin 140
a = 100 m
Sin B = Sin R (<PRQ)
b = 50 m
Substitute
\( \frac{Sin 140}{100} = \frac{Sin R}{50} \)
Cross multiply
\( 100*Sin(R) = 50*Sin(140) \)
Divide both sides by 100
\( Sin(R) = \frac{50*Sin(140)}{100} \)
\( Sin(R) = 0.32139 \)
\( R = Sin^{-1}(0.32139) \)
R ≈ 18.7° (nearest tenth)
m<PQR = 18.7°
The angle PRO is 1.7 degrees.
Given that,
The diagram shows three points P, Q, and R on horizontal ground.
PQ = 50 m, PR = 100 m and angle PQR = 140°.
We have to determine,
The angle PRO.
According to the question,
The value of angle PRO is determined by using the sin rule-following all the steps given below.
\(\rm \dfrac{sina}{a} = \dfrac{sinb}{b}\)
Where, Sin A = Sin 140 , a = 100 m , Sin B = Sin R (<PRQ) , b = 50 m
Substitute all the values in the formula,
\(\rm \dfrac{sin140}{100} = \dfrac{sinR}{50}\\\\ \dfrac{0.64}{100} = \dfrac{sinR}{50}\\\\0.0064 = \dfrac{sinR}{50}\\\\0.0064 \times 50 = sinR\\\\0.321 = sinR\\\\R = sin{-1}(0.321)\\\\R = 18.7 \ degree\)
Hence, The angle PRO is 1.7 degrees.
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Find the difference. Write you answer in simplest form.
9/10 - 4/10
Answer:
1/2
Step-by-step explanation:
hope it helps :)
5 people shared 8 pizzas. How much do they each get?
1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9
2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)
3. -2 \leq -2 Subtract 6 from both sides, then 8, and then 2
4. -4 < 8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given few inequalities and some operations are performed on them
For first inequality:
=> 4 < 7
Multiply both sides by 3, then by 2, then by 4, then by 9
=> 4 *3 * 2 * 4 * 9 < 7 *3 * 2 * 4 * 9
=> 864 < 1512
there is no change in the inequality sign and it is still true.
For the second inequality:
=>11 > -2
Add 3 to both sides, then add 3, then add (-4)
=> 11 +3 + 3 + (-4) > -2 + 3+3 + (-4)
=> 13 > 0
there is no change in the inequality sign and it is still true.
For the third inequality:
=> -2 ≤ -2
Subtract 6 from both sides, then 8, and then 2
=> -2 -6 -8 -2 ≤ -2 -6 -8 -2
=> -18 ≤ -18
there is no change in the inequality sign and it is still true.
For the fourth inequality:
=> -4 < 8
Divide both sides by -4
=> -4 / -4 < 8 / -4
Since, after dividing or multiplying on both sides by a negative sign, inequality changes its sign
=> 1 > -2
Divide both sides by -2
=> -1/2 < 1
there are two times a change in the inequality sign and it is still true.
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Enola surveyed 300 of the students in her school about their favorite color. 78 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?
Answer:
26%
Step-by-step explanation:
I did some simple math here: a percentage represents a number over 100.
To find the percentage, I just divided 78 by 300 and got 0.26
I then multiplied by 100 to get 26%
Hope this helps! Have a great day!
Johann and Marta shopped at a vintage toy store. Johann bought 3 blue marbles and 5 green marbles and paid $11. Marta bought 4 blue marbles and 2 green marbles and paid $10. Which system of equations can be used to find the prices of the blue and green marbles? 3 x 5 y = 10. 4 x 2 y = 11. 3 x 5 y = 11. 4 x 2 y = 10. 5 x 3 y = 10. 4 x 2 y = 11. 5 x 3 y = 11. 4 x 2 y = 10.
Answer:
B. 3x+5y=11
4x+2y=10
On Edge 2022
Hope this Helps :)
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The system of equations can be used to find the prices of the blue and green marbles are,
\(3x+5y=11\)
\(4x+2y=10\)
Thus the option 2 is the correct option.
What is system of equation?
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Given information-
Johann bought 3 blue marbles and 5 green marbles.
The total money paid by the Johann is $11.
Marta bought 4 blue marbles and 2 green marbles.
The total money paid by the Marta is $10.
Suppose the price of the blue marbles is \(x\) and price of the green marbles is \(y\).
As Johann bought 3 blue marbles and 5 green marbles and paid $11. Thus,
\(3x+5y=11\) .....1
Let the above equation is equation number 1.
As Marta bought 4 blue marbles and 2 green marbles and paid $10. Thus,
\(4x+2y=10\) .....2
Let the above equation is equation number 2.
Thus the equation 1 and 2 are the required set of the equation for the given problem.
Hence the system of equations can be used to find the prices of the blue and green marbles are,
\(3x+5y=11\)
\(4x+2y=10\)
Thus the option 2 is the correct option.
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What is the input value other than 0 for f(x)=-2
The input value other than 0 for f(x)=-2 would be equal to x = -3
What is a function?Function is a type of relation, or rule, that maps one input to specific single output. Functions which are formed by composing two or more functions in a way that one's output is another's input are called composite functions. They are also called function of functions.
We are given the function as f(x) = -2
We wants to know what x values causes the y value to be -2
Since there are two x values when y = -2
x=-3 and x = 0
Therefore, we need a value other than x=0,
Thus x = -3
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I understand this a little but i don’t understand the angles please help me??
We can use the fact that the sum of all angles in a triangle is 180° to find the missing angles in both triangles.Therefore, the missing angles in ΔABC are ∠E = 47° and ∠F = 76°, and in ΔDEF is ∠D = 93°.
What is an angles?A geometric figure formed by two rays that share a common endpoint is termed as an angle. It is measured in degrees or radians and has different types based on its measure.
In ΔABC, we know that ∠A = 57° and that the other two angles are ∠E and ∠F. Therefore, we have:
∠A + ∠E + ∠F = 180°
57° + ∠E + ∠F = 180°
∠E + ∠F = 180° - 57°
∠E + ∠F = 123°
In triangle ΔDEF, we know that one angle is 40° and the other angle is ∠D. Therefore, we have:
∠D + 40° + ∠E = 180°
∠D + ∠E = 180° - 40°
∠D + ∠E = 140°
We now have two equations with two unknowns (∠E + ∠F = 123° and ∠D + ∠E = 140°). Solving the system of equations simultaneously gives us:
∠E = 47°
∠F = 76°
∠D = 93°
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HERE IS ANOTHER ONE WHERE YOU WILL GET 40 POINTS IF YOU ANSWER IT CORRECTLY. THE ONES THAT ARE IN GREY ARE THE ANSWER OPTIONS.
Answer:
Option A is the correct answer
A set of twins, Andrea and Courtney, are initially 10 years old. While Courtney remains on Earth, Andrea rides on a spaceship that travels away from Earth at a speed of 0.60c for 10 years (as measured by Courtney). At the end of the trip, Courtney is 20 years old. How old is Andrea
The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.
How can Andrea's new age be calculated?The time dilation using the Lorentz transformation formula is presented as follows;
\(t' = \frac{t}{ \sqrt{1 - \frac{ {v}^{2} }{ {c}^{2} } } } \)
From the question, we have;
The spaceship's speed, v = 0.6•c
∆t = Rest frame, Courtney's time, change = 10 years
Therefore;
\(\delta t' =\delta t \times \sqrt{1 - \frac{ {(0.6 \cdot c)}^{2} }{ {c}^{2} } } = 8\)
The time that elapses as measured by Andrea = 8 years
Andrea's age, A, at the end of the trip is therefore;
A = 10 years + 8 years = 18 years
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-0.8662866239 . . . is:
rational
irrational
Answer:
irrational, it can't be written as a fraction
Step-by-step explanation:
QUICK SOMEONE HELP PLEASE
The length of segment LK in the triangle is 15.75.
option D.
What is the length of segment LK?The length of segment LK in the triangle is calculated by applying the principle of median lengths of triangle as shown below.
From the diagram, we can see that;
length KX and XL are not in the same proportion
length KX and XL divides length LK into two parts on the ratio of 1 : 2
Using the principle of proportion, can set up the following equation and calculate the value of length LK as follows;
total ratio = 1 + 2 = 3
(proportion of length LX / total ratio ) x length LK = 10.5
( 2 / 3 ) x LK = 10.5
2LK = 3(10.5)
2LK = 31.5
LK = 31.5 / 2
LK = 15.75
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f(x) = 4x +5 when f(x) = 17
Answer:
\(\huge\boxed{\sf x = 3 }\)
Step-by-step explanation:
Given that
f(x) = 4x + 5
Put f(x) = 17
17 = 4x + 5
Subtract 5 to both sides
17 - 5 = 4x
12 = 4x
Divide 4 to both sides
12 / 4 = x
3 = x
OR
x = 3
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807A mathmatical society in India designed a stamp. The pyramidal design is an equalateral tr is 42 millimeters. Determine the area of the design on the stamp. (first step is to find the b1 point A mathmatical society in India designed a stamp.
If a mathematical society in India designed a stamp. The area of the design on the stamp is: 1018.08mm².
How to find the area?First step is to find the shorter leg
CD =DB√3
DB =CD/√3
DB= 42/√3
DB = 24.24mm
Second step is to find the hypotenuse
DB = BC/2
BC =2 × DB
BC = 2× 24.24 mm
BC =48.48 mm
Now let find the area
Area = 1/2 AB × CD
Area = 1/2× BC ×CD
Area = 1/2 × 48.48mm × 42
Area = 1018.08mm²
Therefore the area of the design on the stamp is: 1018.08mm².
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Factor the trinomial completely.3x2 - 13x - 10
3x2 - 13x - 10
multiplying the first and third terms we have
-30x2
The factors of -30 that will be added to get - 13 are -15 and 2
so we split the expression further
= 3x2 - 15x + 2x - 10
= 3x (x - 5) + 2 (x - 5)
= (x -5)(3x + 2)
Is this function linear or nonlinear?
Answer:yes
Step-by-step explanation:0 and 0 means that those numbers dont move that distance apart 1 that 1 X 1 it seems so it would equal 1 2 and 4 2 x 2 = 4 and 3 X 3 equals 9
Question 2 (1 point)
Which graph shows the solutions to 2x<6?
ABCD is a square.
What is the measure of angle BAC?
Answer:
30 degrees
Step-by-step explanation:
I think that every corner is a 90 degree angle so 90/2 is 30
Which statement is true about the polynomial 3j^4k-2jk^3.
Therefore, the polynomial has two terms which are not like terms because they have different variable powers.
The two terms are 3j4k and -2jk3. This is because a polynomial is an expression with one or more terms consisting of constants and variables raised to non-negative integer exponents, combined through addition, subtraction, multiplication, and division.In this polynomial, j and k are variables. They are raised to the fourth and first power, respectively, in the first term, and to the first and third power, respectively, in the second term. Therefore, the polynomial has two terms which are not like terms because they have different variable powers.
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Sophie needs to buy a dress to go to a school dance. Using a coupon, she can save $60, which is ¼ of the total cost of the dress. Find the cost of the dress.
Answer:
The cost of the dress is $240.
Step-by-step explanation:
With the information provided, you can use a rule of three to find the total cost of the dress as you know that $60 represents 1/4 of the total cost of the dress:
60 → 1/4
x ← 1
x=(60*1)/(1/4)
x=(60)/(1/4)
x=(60*4)/(1)
x=240/1
x=240
According to this, the answer is that the cost of the dress is $240.
Pls help me with “ H “ i will mark brainliest
Step-by-step explanation:
area of a triangle=1/2×b×h
∆=1/2×9.2×12.2
∆=56.12 km
What is a place value chart in maths?
In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.
The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.
A place value chart can be used to understand the value of a digit in a number.
Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.
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if the day after tomorrow is two days before thursday then what day is it today? friday monday wednesday saturday tuesday sunday
Today is Saturday, because tomorrow will be Sunday and the day after will be Monday two days after will be the day before Thursday, Wednesday
We have,
The day after tomorrow is two days before Thursday.
Since, tomorrow will be Sunday and the day after will be Monday two days after will be the day before Thursday, Wednesday.
Hence, Today is Saturday.
Therefore, Today is Saturday, because tomorrow will be Sunday and the day after will be Monday two days after will be the day before Thursday, Wednesday.
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