Answer:
the second one
Step-by-step explanation:
jus took da test
Jim is building in model airplane the scale is 1 in 25 the actual length of the plane is for 450 feet.How long will the model be?
Answer:
18
Step-by-step explanation:
if the scale is 1 to 25, and the 25 is the same as 450, you just divide by the scale 450/25 equals 18
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Answer: yeahh ok?
Step-by-step explanation:
Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
X + 4
2x-5
(2x-4)(x+5) expand with indicated multiplication
2x^2+10x-4x-20
2x^2+6x-20
1.6 Write the following numbers in order of size. Start with the smallest number.
0.5, 0.14, 0.092, 0.33
how to name the angle 3 different ways for g, e, f
Answer:
Not sure what you are referring to but the three main angles are Acute, Right, and Obtuse
Mrs.Manning is making cookies for the bake sale. She jas 3/4 cup of flour and needs 1/3 cup of flour for her chocolate chip cookies. What fraction of the flour Mrs.Manning has will be used for her chocolate chip cookies?
Answer:
The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9
Step-by-step explanation:
Fraction of Portion
Suppose we have a number n and another number m such as m>n. The portion or fraction of size n of m is given by the quotient n/m.
For example, 3 pieces of cake out of a total of 6 make them a fraction of 3/6 = 1/2 of the whole cake, i.e. half of the total available.
Mrs. Manning needs 1/3 cup of flour to make cookies for the bake sale. She actually has 3/4 cups of flour. Calculate the fraction of needed against the available flour:
[tex]\displaystyle \frac{\frac{1}{3}}{\frac{3}{4}}[/tex]
The division can be easier performed by multiplying by the reciprocal of the denominator:
[tex]\displaystyle \frac{1}{3}\cdot \frac{4}{3}=\frac{1*4}{3*3}[/tex]
[tex]\displaystyle =\frac{4}{9}[/tex]
The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9
Imagine you have asked 1000 people how much they enjoy eating on a scale of 1-7. You have very skewed data, such that there are only outliers in the "negative" or left-hand side of the distribution. You decide to convert everyone's scores to z-scores. 1. After you convert the scores into z-scores, what would the shape of the distribution be? Explain your answer. Imagine you have ask the same 1000 people how much they enjoy running on a scale of 1-7. You have perfectly normal data. You decide to convert everyone's scores to z-scores. 2. Which z-score would be more probable, a z = -2.0 or a z = +0.5. Explain your answer.
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Given that:
n=1000
Where the data is distorted and the bad outlier is just axed,when we transform scores of its distribution form into z-score, that become negative or skewed to the left. If n=1000 doesn't have normal skewed knowledge, then:
The data range is between 1 to 7
[tex]\to 1 \ to \ 7 = 6 \sigma \\\\\to \sigma =\frac{7-1}{6} \\\\\to \sigma = \frac{6}{6}\\\\\to \sigma = 1\\\\\mu = 4\\[/tex]
In point (1):
The score that matches:
[tex]\to Z=-2 \ \ \ \mu -26 \\\\ \to 4-2 =2\\\\ \to Z_{score} =2[/tex]
In point (2):
Its value of Z= 0.5 is [tex]\mu \ \ to \ \ 5 \ \ \sigma[/tex]
[tex]= 4+ 0.5 \times 1\\\\= 4+ 0.5\\\\=4.5\\[/tex]
work out the product of
2 2/3 and 4 4/5
Answer:
12 [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
The first step is to change the mixed numbers to improper fractions
2 [tex]\frac{2}{3}[/tex] × 4 [tex]\frac{4}{5}[/tex]
= [tex]\frac{8}{3}[/tex] × [tex]\frac{24}{5}[/tex] ( cancel 3 and 24 by 3 )
= [tex]\frac{8}{1}[/tex] × [tex]\frac{8}{5}[/tex]
= [tex]\frac{8(8)}{1(5)}[/tex]
= [tex]\frac{64}{5}[/tex]
= 12 [tex]\frac{4}{5}[/tex]
You are given $893 in one, five, and ten dollar bills. There are 165 bills. There are twice as many five dollar bills as there are ones and tens combined. How many bills of each type are there?
Given:
Total number of bills of one, five and ten = 165
Total amount = $893
There are twice as many five dollar bills as there are ones and tens combined.
To find:
Number of bills of each type.
Solution:
Let number of bills of one, five and ten are x, y and z respective.
Total number of bills of is 165.
[tex]x+y+z=165[/tex] ...(i)
Total amount is $893.
[tex]1x+5y+10z=893[/tex] ...(ii)
There are twice as many five dollar bills as there are ones and tens combined.
[tex]y=2(x+z)[/tex] ...(iii)
From equation (iii), we get
[tex]\dfrac{y}{2}=x+z[/tex] ...(iv)
Putting [tex]x+z=\dfrac{y}{2}[/tex] in (i), we get
[tex]\dfrac{y}{2}+y=165[/tex]
[tex]\dfrac{3y}{2}=165[/tex]
[tex]3y=330[/tex]
[tex]y=110[/tex]
Putting y=110 in (iv), we get
[tex]x+z=\dfrac{165}{2}[/tex]
[tex]x+z=55[/tex]
[tex]x=55-z[/tex] ...(v)
Putting y=110 and x=55-z in (ii), we get
[tex](55-z)+5(110)+10z=893[/tex]
[tex]55-z+550+10z=893[/tex]
[tex]9z+605=893[/tex]
[tex]9z=893-605[/tex]
[tex]9z=288[/tex]
Divide both sides by 9.
[tex]z=32[/tex]
Putting z=32 in (v), we get
[tex]x=55-32[/tex]
[tex]x=23[/tex]
Therefore, the number of one, five and ten bills are 23, 110 and 32 respectively.
There are 23 bills of $1 type.
There are 110 bills of $5 type.
There are 32 bills of $10 type.
According to the given situation
You are given $893 in one, five, and ten dollar bills.
Let the number of $1 bills be "x"
Let the number of $5 bills be "y"
Let the number of $10 bills be "z"
Total number of bills = x + y + z
Also it is given that there are twice as many five dollar bills as there are ones and tens combined
hence we can write the equations in the form of 3 variables
[tex]\rm x + y + z = 165........(1) \\x +5y + 10z = 893.........(2) \\y = 2\times (x+z) ..........(3) \\[/tex]
These are three linear equations with 3 variables that can be solved for x, y and z .
On solving equations (1) , (2), and (3) we get
[tex]x = 23 \\y = 110 \\z = 32 \\[/tex]
So we can conclude that there are 23 bills of $1 type.
There are 110 bills of $5 type.
There are 32 bills of $10 type.
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Suppose that 11 inches of wire costs 44 cents. At the same rate, how many inches of wire can be bought for 16 cents?
Answer:
4 inches
Step-by-step explanation:
of 11 inches of wire costs 44 cents, then 1 inch of wire costs 4 cents because 44 cents ÷ 11 inches = 4 cents per inch. (44 ÷ 11 = 4)
So, if 1 inch is 4 cents, 16 cents is 4 inches because 16 ÷ 4 = 4
2x²-2x=12
quadratic equation
You can solve with many ways but I'll do this one instead. Move 12 to the left side and change from positive to negative.
[tex]2x^2-2x-12=0\\[/tex]
Then divide by 2 whole equation.
[tex]\frac{2x^2-2x-12}{2}=\frac{0}{2}[/tex]
Simplify, as we get [tex]x^2-x-6=0[/tex]
We can either use Quadratic Formula or Factoring the Polynomials. It depends but since the polynomial aren't that hard to factor because it doesn't have that many numbers in value. So using factoring will be faster.
From [tex]x^2-x-6=0[/tex] we can factor as -
[tex](x-3)(x+2)=0\\x-3 =0, x+2=0\\x=3, x=-2\\(x=3,-2)#[/tex]
Thus, the value of x is 3 or -2. So x = 3, -2 is the answer.
Note that we can also use Quadratic Formula to solve the equation, however that will take longer than factoring then solve the equation.
please help me with this will thank u forever ❤️
image below
Answer:
>
Step-by-step explanation:
Since both have the same -9 integer, we don't have to worry about that.
Now, 1/5 is smaller than 1/4;
1/5 = 0.2
1/4 = 0.25
Therefore, we use the > sign.
Answer:
>
Step-by-step explanation:
just learned this at school :)
Complete the statement with , or =.
3/8 greatter than or less that 0.3 .............promise a brain list help quickly NOWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW
Step-by-step explanation:
Hey there!
0.3 = 3/8 (equal to eachother)
Reason: (3/8 = 0.375)
So, 0.3 is equal to eachother.
0.3=0.3
Hope it helps...
simplify the following
-(3z)2
Answer:
-9x²
Step-by-step explanation:
-(3x)²
In PEMDAS, we solve the exponent first then multiply.
-(3x)²
-(9x²)
-9x²
Best of Luck!
Uisng the PEMDAS method of simplifying arithmetic expressions, the expression would be 9z²
Given the expression :
-(3z)²This can be written as :
-3z × - 3z
Negative values will cancel out,
= 9z²
Therefore, the simplified form of the expression would be 9z²
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Find the inverse of A = 9, -2 -10, 7 , if it exists.
The inverse of matrix A, if it exists, is:
A^(-1) = [7/43, 2/43; 10/43, 9/43]
To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.
Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:
det(A) = (9 * 7) - (-2 * -10)
= 63 - 20
= 43
Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.
The formula to calculate the inverse of a 2x2 matrix is:
A^(-1) = (1/det(A)) * [d, -b; -c, a]
Plugging in the values from matrix A and the determinant, we have:
A^(-1) = (1/43) * [7, 2; 10, 9]
Simplifying further, we get:
A^(-1) = [7/43, 2/43; 10/43, 9/43].
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If there are 640 football stickers needed to fill my book and I have 80% of the stickers
I need. How many more stickers do I need to collect?
Answer:
160 more stickers
Step-by-step explanation:
640 divided by 4 is 160
160 times 5 is 800
800 minus 640 is 160
you need 160 more stickers
Find the slope and the y-intercept of the line.
6x + 5y = 32
Answer:
Slope = - 6/5x
Y int=(0,6.4)
X int=(5.333,0)
Step-by-step explanation:
It has been proof checked on desmos
Which trigonometric function is an odd function and why?
The trigonometric function that is odd is the sine function, and it is because pf how it is defined.
Odd functions:We define an odd function as a function that has the next property.
f(-x) = -f(x)
So we need to find a trigonometric function with this property and is rater easy to know that it is the sine function, because:
Sin(-x) = -Sin(x)
This happens because the sine function measures the vertical distance to the endpoint of an angle x, and when x (an angle) becomes negative, the endpoint is below the horizontal axis, thus the outcome is reflected from the positive angle, but with opposite sign.
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The reason for trigonometric function is an odd function is shown below.
The sine function is the trigonometric function that is odd, and this is due of how it is defined.
Odd functions are functions that possess the following characteristics.
f(-x) = -f(x)
The sine function is the most straightforward to identify as the trigonometric function that has this attribute because:
sin(-x)= -sin x
This occurs because the sine function calculates the vertical distance from the angle's terminus, which is below the horizontal axis when the angle is negative.
As a result, the result is reflected from the positive angle but with the opposite sign.
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Vincent watched 10 episodes of Fortnite online in 2.5 hours. He spent the same of time watching each episode. What is the unit rate of hours to episodes?
each video is 15 minutes long
Step-by-step explanation:
Help!!!Geometry chapter three
Answer: 50
Step-by-step explanation:
3(50)-14=136
what's the value of (1/8)^-1/3
Answer:
2
Step-by-step explanation:
You could easily punch this into a calculator.
Answer:
Step-by-step explanation:
(1/8)^-1/3 = (8)^1/3= ∛(8)= 2
five less than a number tripled
Answer:
3(n-5)
Step-by-step explanation:
Less than indicates subtract and since 5 is less than a number N goes first.
Tripled goes on the outside because the number that is 5 less gets tripled
Hope this helps
Lucia bikes 50 4/5 mi in 4 hours how many miles did she bike per hour?
Lucia biked approximately 12 7/10 miles per hour.
To find the number of miles Lucia biked per hour, we need to divide the total distance she biked by the total time taken.
Lucia biked a total distance of 50 4/5 miles in 4 hours.
To divide a mixed number by a whole number, we first convert the mixed number into an improper fraction.
50 4/5 = (50 * 5 + 4) / 5 = 254/5
Now, we can divide the distance by the time:
(254/5) miles / 4 hours = (254/5) / 4
To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number.
(254/5) / 4 = (254/5) * (1/4) = 254/20 = 12 14/20 = 12 7/10
Therefore, Lucia biked approximately 12 7/10 miles per hour.
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A person drives 5,000 miles in 6 months. How many miles will that person drive in 3 years?
Answer:
30,000 miles
Step-by-step explanation:
This is the answer because:
1) There are 36 months in 3 years
2) Divide 36 with 6 because we know this person drives 5,000 miles in 6 months
36/6 = 6
3) Finally, multiply 5,000 and 6 which is 30,000
5,000 x 6 = 30,000
Therefore, the answer is 30,000 miles
Hope this helps! :D
A person drives 5,000 miles in 6 months. So, 30,000 miles will that person drive in 3 years.
A person drives 5,000 miles in 6 months
To determine How many miles will that person drive in 3 years.
First we convert 3 years into month.
1 year = 12 months
3 years = 12 * 3 = 36 months
Now, lets consider
x miles will that person drive in 3 years
6 months = 5,000 miles
36 months = x miles
x = 5,000/6 * 36 = 30,000
Therefore, 30,000 miles will that person drive in 3 years.
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Given sin(30 degrees) =1/2 and cos (30 degrees) = square root of 3/2 use trigonometry identities to find the value of cot(30 degrees)
1/2
Square root of 3/3
Square root of 3/2
Square root of 3
Answer: D)[tex]\sqrt{3}[/tex]
Step-by-step explanation:
cot(θ) = cos(θ) ÷ sin(θ)
cot(30) = [tex]\frac{\sqrt{3} }{2}[/tex] ÷ [tex]\frac{1}{2}[/tex]
cot(30) = [tex]\sqrt{3}[/tex]
The value of cot30 is √3 if sin30 = 1/2 and cos30 = √3/2 option (D) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
sin30 = 1/2
cos30 = √3/2
As we know,
cotA = cosA/sinA
A = 30 degrees
cot30 = cos30/sin30
cot30 = (√3/2)/(1/2)
cot30 = √3
Thus, the value of cot30 is √3 if sin30 = 1/2 and cos30 = √3/2 option (D) is correct.
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Alvin is 5 years older than Elga. The sum of their ages is 53. What is Elga's age?
Answer:
24
Step-by-step explanation:
53-5=48
48/2=24 Elgas age
24+5=29 Alvin's age
Find and simplify as much as possible. Let f(x)=x^2+2 be for f(x+h)-f(x)/h
Answer:
In picture
Step-by-step explanation:
Use the given functions to set up and simplify
Can someone pls help me on my math homework??
Does this question involve sin, cos..?
If yes,
sin 60= x/12
x= 12sin 60
x=10.392(5s.f)
x=10.4(3 s.f)
Using pythagoras theorem,
a^2 + b^2 =c^2
x^2 + y^2= 12^2
(10.392)^2 + y^2 = 144
y^2=36.006
y=[tex]\sqrt{36.006}[/tex]
y=6.0005
y=6.00(3 s.f)
For significant figures and decimal place, you should do what your school requires whether its 3 s.f or 2 d.p. I hope this helps..
what is the LCM of 6, 9, 24
Answer:
its 72
Step-by-step explanation:
Answer:
The least common multiple is 72.
Use a graphing calculator to graph the function and its parent function. Then describe the transformations, f(x)=(x+3)+1/4
Most of the graphing resources used shows that the graph is translated up by 3.25 (3 + 1/4). If you add the 3 and the 1/4, you get the equation of a line:
f(x) = x + 3.25,
which means that the graph of f(x)= x now has a y intercept of 3.25.
The graphs are below. The red line represents f(x) = x, and the green line represents (x+3)+1/4. Hope this helps!