Answer:
n = 6 1/3
Step-by-step explanation:
"Product" means to multiply
Can be written as 6 x n = 38 or 6n = 38
6n = 38
6n/6 = 38/6
n = 6 2/6
n = 6 1/3
If the product of 6 and a number is 38 then the number 'x' is equal to 6.33.
Let's denote the unknown number as 'x'. According to the given information, the product of 6 and 'x' is equal to 38. We can express this mathematically as:
6x = 38
To find the value of 'x', we need to isolate it on one side of the equation. We can achieve this by dividing both sides of the equation by 6:
6x/6 = 38/6
Simplifying the equation, we have:
x = 6.33
Therefore, the number 'x' is equal to 6.33.
It's important to note that in this case, the number 'x' is not an integer but a decimal value. The equation 6x = 38 represents a proportional relationship, where 6 times the value of 'x' equals 38. By dividing both sides by 6, we solve for 'x' and determine that it is approximately 6.33.
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Caleb needs to solve the problem 2,406 ÷ 6. In what place is the first digit of the quotient for the problem 2,406 ÷ 6?
Answer:
Hundreds place
Step-by-step explanation:
The quotient is 401. The first digit (4) is in the hundreds place.
Scores on a standardized test are normally distributed with a mean of 250 and a standard a deviation of 20. Approximately what percent of students scored between 260 and 280? Round to the nearest percent
Answer:
You can't answer this properly without more data.
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score
of a man 72.4 inches tall. (to 2 decimal places)
Work Shown:
z = (x - mu)/sigma
z = (72.4 - 69.0)/(2.8)
z = (3.4)/(2.8)
z = 1.2142857 .... which is approximate
z = 1.21
Z-score of a man who is 72.4 inches tall is 0.45.
Understanding the concept of the z-score helps us gauge how far a value is from the mean in terms of standard deviations.
A z-score, denoted as , measures the deviation of a data point from the mean in terms of standard deviations. It's calculated using the formula:
= ( - ) /
Where:
- is the value we want to find the z-score for (72.4 inches in this case).
- is the mean of the dataset (69.0 inches).
- is the standard deviation of the dataset (2.8 inches).
Plugging in the values:
= (72.4 - 69.0) / 2.8 = 1.25 / 2.8 ≈ 0.446
Rounded to two decimal places, the z-score is approximately 0.45.
This means that a man who is 72.4 inches tall is roughly 0.45 standard deviations above the mean height of adult men.
In other words, his height is a bit taller than the average height by about 0.45 times the standard deviation.
This positive value indicates that the man's height is above the mean. If the z-score were negative, it would mean the height is below the mean. By using z-scores, we can compare data points from different distributions and understand how unusual or typical a particular value is within its dataset.
Z-scores help us quantify the relative position of a data point, providing a standardized way to interpret its significance in the context of the dataset's characteristics.
In summary, the z-score of a man who is 72.4 inches tall is approximately 0.45, indicating that his height is slightly above the average height of adult men.
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Brainliest if you show all work!!!
Thanks! :)
combine like terms and solve x
12x + 3 - 4x - 6 = 5
5x - 4 + 7 + 6x - 4x = 24
Answer:
12x + 3 - 4x - 6 = 5
x=1
5x - 4 + 7 + 6x - 4x = 24
x=3
what is -37x85
what is 28x-43
what is -53x-98
Answer:
1. -3145
Step-by-step explanation:
I couldnt solve the other one because they don't have a equal sign. Something like 28x-43= ?
Answer:
-37x85= -3145
28x-43=-1204
-53x-98=5194
those are ur answers
Step-by-step explanation:
7 6/10= ?/? please help
Answer:
7.6
Step-by-step explanation:
Answer:
76/10
Explanation
7 × 10 is 70 + the 6 is 76/10
you can look up fractions on yt
to get a better explication.
Which inequality is true when the value of h is -13?
o-h-2<7
Submit Answer
Oh-2> 7
o-h-2<-7
o h2>-7
Answer:
-h - 2 > -7
Step-by-step explanation:
-(-13) - 2 > -7
13 - 2 > -7
11 > -7
When Julius crossed the Rubicon, he had with him 3 times as many soldiers as he
needed to conquer Rome. If he had 26,000 soldiers with him, how many were needed
to conquer Rome?
86,000 :)
hope it helped!
what is the answer to X/3 - 4 = 3
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The value of x in given expression is ~
[tex] \boxed{21}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve for x ~
[tex] \dfrac{x}{3} - 4 = 3[/tex][tex] \dfrac{x}{3} = 3 + 4[/tex][tex] \dfrac{x}{3} = 7[/tex][tex]x = 7 \times 3[/tex][tex]x = 21[/tex]solve for x 2x- negative 12
Step-by-step explanation:
6274518802
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please come
for zóom
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for me3t
Which of the following sets of ordered pairs is not a function?
{(-1, 2), (1, 3), (1, 5), (-3, 4)}
{(0, 2), (1, 4), (2, 5), (3, 6)}
{(-4, 3), (-1, 1), (-2, 5), (3, 7)}
{(0, 2), (1, 2), (2, 2), (3, 2)}
Answer:
1
first choice
Step-by-step explanation:
in a function, the x-value never repeats.
(found in brainly)
HELP SOMEONE HEEEEEEEEEEEEEEEEEEEEEELP! which graph is the right one?
Which graph represents an exponential function?
Answer:
The answer is...
Step-by-step explanation:
can one of yall help me pls :)
Answer:
Omg i love geometry hehe your in luck :D
Step-by-step explanation:
15.65 should be your answer if i have calculated correctly.
evaluate x-2y when x =0.75 and y =0.96
Step-by-step explanation:
x = 0,75
y = 0,96
= x - 2y
= 0,75 - 2.0,96
= 0,75 - 1,96
= -1,21
COS(α+β); SINα=- 1/3, α IN QUADRANT IV, TANβ=7/3, β IN QUADRANT III
PLEASE, I HAVE BEEN TRYING TO FIND THE ANSWER FOR 3 HOURS, AND I HAVE SPENT LIKE 1000 POINTS
Recall the angle sum identity for cosine,
cos(α + β) = cos(α) cos(β) - sin(α) sin(β)
Then given sin(α) = -1/3, we have
cos(α + β) = cos(α) cos(β) + 1/3 sin(β)
α is in quadrant IV, so 3π/2 < α < 2π, and so sin(α) is negative and cos(α) is positive. Then from the Pythagorean identity, we get
sin²(α) + cos²(α) = 1
⇒ cos(α) = √(1 - sin²(α)) = 2√2/3
β is in quadrant III, so π < β < 3π/2, so both sin(β) and cos(β) are negative. If we multiply both sides of the previous identity by 1/cos²(α) and replace α with β, we get
sin²(β)/cos²(β) + cos²(β)/cos²(β) = 1/cos²(β)
⇒ tan²(β) + 1 = 1/cos²(β)
⇒ 1/cos(β) = -√(tan²(β) + 1) = -√58/3
⇒ cos(β) = -3/√58
Also recall that by definition,
tan(β) = sin(β)/cos(β)
⇒ sin(β) = tan(β) cos(β) = 7/3 • (-3/√58) = -7/√58
Putting everything together, we find that
cos(α + β) = 2√2/3 • (-3/√58) + 1/3 • (-7/√58) = -(6√2 + 7)/(3√58)
or more clearly,
[tex]\cos(\alpha + \beta) = -\dfrac{6\sqrt2 + 7}{3\sqrt{58}}[/tex]
What are the roots of the equation 4x^2+24x+45=0 in simplest a+bi form?
Answer:
X=(-1.5, 7.5)
Step-by-step explanation:
Simplifying
4x2 + -24x + -45 = 0
Reorder the terms:
-45 + -24x + 4x2 = 0
Solving
-45 + -24x + 4x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-3 + -2x)(15 + -2x) = 0
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:
Simplifying
-3 + -2x = 0
Solving
-3 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3
Combine like terms: 0 + 3 = 3
-2x = 3
Divide each side by '-2'.
x = -1.5
Simplifying
x = -1.5
Set the factor '(15 + -2x)' equal to zero and attempt to solve:
Simplifying
15 + -2x = 0
Solving
15 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + -2x = 0 + -15
Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15
Combine like terms: 0 + -15 = -15
-2x = -15
Divide each side by '-2'.
x = 7.5
Simplifying
x = 7.5
Solution
x = {-1.5, 7.5}
The ratio of the length and breadth of a rectangular field is 8: 7. If the breadth of the field is 98 m, find its length.
Answer:
112
Step-by-step explanation:
l : b = 8 : 7
b = 98m
so l / b = 8/7
l / 98 = 8 / 7
l = 98 * 8 / 7
= 112
Look at the screen shot plzz help now!!!!
Helppp me Please!!!!! :)
Answer:
[tex]x = 30 \\ y = 10[/tex]
Step-by-step explanation:
[tex]8x + 6y = 300 \\ x + y = 40 \\ 6x + 6y = 240 \\ 2x = 60 \\ = > x = 30 \\ y = 10[/tex]
Help a Brother Out On The evalute expressions
Answer:
4. - 11
5. 3
6. 14
7. - 60
that it is
what is 916 divied by 320
Answer:
2.8625
This is 916 divided by 320
Answer:
Full Answer - 2.8625
Rounded - About 3
Nearest Tenth - 2.9
Nearest Hundredth - 2.86
Step by Step:
Shown Below
Hope this Helps
A Distributive Property and GCF
56+42
Answer:
98
Step-by-step explanation:
you at 56 in to 42
Answer:
98
pa brainless
Step-by-step explanation:
please brainless
Use a calculator . Round to the nearest tenth of a degree given cos 0=0.8458
0.8458 rounded to the nearest tenth is 0.8 given cos is 0.696706709347
algerbraic expression in shape
ANYONE PLZ HELP GIVING BRAINLIEST ASAP
:)))
Answer:
C
Step-by-step explanation:
The shape is composed of a square and a semi circle
area of square = a × a = a²
The diameter of the semi circle is c , then radius = [tex]\frac{1}{2}[/tex] c = [tex]\frac{c}{2}[/tex]
area of semi circle = [tex]\frac{1}{2}[/tex] πr² = [tex]\frac{1}{2}[/tex] π × ([tex]\frac{c}{2}[/tex] )² = [tex]\frac{1}{2}[/tex] π × [tex]\frac{c^2}{4}[/tex] = [tex]\frac{\pi c^2}{8}[/tex]
area of shape = a² + [tex]\frac{\pi c^2}{8}[/tex] → C
Find the surface area of the square pyramid below.
Answer:
Step-by-step explanation:
Answer:
96 cm or B
Step-by-step explanation:
Base-l*w, 6*6, 36
Side 1-(h*w)1/2, (30)1/2, 15
Side 2-Same as 1
Side 3-Same as 1
Side 4-Same as 1
15+15=30, 15+15=30, 30+30=60, 60+36=96
96 cm
Consider an economy made up of 100 people, 50 of whom hold jobs, 10 of whom are
looking for work, and 15 of whom are retired. The unemployment rate is approximately:
17 percent
10 percent
25 percent
20 percent
12 percent
Answer:
20 por cento de cada um , que colocar
The unemployment rate is approximately 17 per cent. The correct option is A.
To calculate the unemployment rate, we need to consider the number of unemployed individuals (those looking for work) divided by the total labour force (those employed plus those looking for work).
Given:
Total population = 100
Employed individuals = 50
Individuals looking for work (unemployed) = 10
Total labour force = Employed + Unemployed
Total labor force = 50 + 10 = 60
Unemployment rate = (Unemployed / Total labour force) x 100
Unemployment rate = (10 / 60) x 100 ≈ 16.67 percent
Rounding to the nearest whole number, the unemployment rate is approximately 17 per cent.
Therefore, the correct answer is option A.
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Express 2x2 + 16x +11 in the form a (x + b)2 + c, where a, b and c are
numbers.
What are the values of a, b and c?
Step-by-step explanation:
I assume the original expression is
2x² + 16x + 11
we need to get this into the form of a(x + b)² + c
let's do the generic multiplication and compare the result to the given expression :
a(x² + 2bx + b²) + c = ax² + 2abx + ab² + c
when we compare this with the original equation, we only need to look at terms with the same variable exponents.
2x² is the only term with "x²".
and ax² is the only term with "x²" in the generic form.
so ?
2x² = ax²
=>
a = 2
16x is the only term with "x" (exponent 1).
2abx is the only term with "x" in the generic form.
16x = 2abx
8x = abx = 2bx
4x = bx
=>
b = 4
11 is the only pure number (constant).
ab² + c is the only constant term in the genetic form.
11 = ab² + c = 2×4² + c = 2×16 + c = 32 + c
-21 = c
so, the solution is
2(x + 4)² - 21
Please help with this question
Answer:
The question or equation is not clear.....
Given x + 3y = k and x-k= y, which of the following is equal to
x?
k-3yStep-by-step explanation:
For the given equations, x + 3y = k and x-k= y, the value of x is equal to k.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equations are,
x + 3y = k (1)
and x-k= y, (2)
From equation (2) substitute the value of y in equation (1)
x+3(x-k)=k
⇒4x-3k=k
⇒x=k
So the value of x is equal to k.
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