help with 1-10 , please!!!!!!
Step-by-step explanation:
hi I have answered ur question
Answers:
1. 75/w=5/6
5*w=75*6
5w=450
Divide by 5 for 5w and 450
5w/5=450/5
w=90
2. 1/5=11/p
1*p=5*11
p=55
3. 9/z=3/13
3z=13*9
3z=117
Divide by 3 for 3z and 117
3z/3=117/3
z=39
4. 210=15m
Divide by 15 for 210 and 15m
210/15=15/15m
m=14
5. 22n=11*19
22n=209
22/22n=209/22
n=9.5
6. 9p=180
9p/9=180/9
p=20
7. 100=5x
100/5=5x/5
x=20
8. 4*x=3*24
4x=72
x=18
9. 10*y=14*7
10y=68
10y/10=68/10
y= 68/10
10. 16x=8*15
16x=120
16x/16=120/16
x=7.5
NEED HELP with this word problem ASAP!
Answer:
[tex]t=280\ minutes[/tex]
Step-by-step explanation:
Let's call "v" the speed of the commercial airplane and call "t" at the travel time of the commercial plane
The distance in kilometers of the trip is: 1730 km
Then we know that:
[tex]vt=1730[/tex]
Then for the jet we have that the speed is:
[tex]2v[/tex]
The flight time for the jet is:
[tex]t-140[/tex]
Therefore:
[tex](2v)(t-140) = 1730[/tex]
Substituting the first equation in the second we have to:
[tex](2*\frac{1730}{t})(t-140) = 1730[/tex]
[tex](\frac{3460}{t})(t-140) = 1730[/tex]
[tex]3460-\frac{484400}{t} = 1730[/tex]
Now solve for t
[tex]\frac{484400}{t} = 3460 - 1730[/tex]
[tex]\frac{484400}{t} =1730[/tex]
[tex]\frac{t}{484400} =\frac{1}{1730}[/tex]
[tex]t=\frac{484400}{1730}[/tex]
[tex]t=280\ minutes[/tex]
What type of number can be written as a fraction plq, where p and q are integers
and q is not equal to zero?
A. 7
B. All numbers can written in this way
C. A rational number is
D. An irrational number
Answer:
rational number
Step-by-step explanation:
written as a fraction p/q, where p and q are integers and q is not equal to zero, is called as rational numbers. Example - 4/5, 2, 100, 1/7 etc all are rational numbers.
If L is the line having x -intercept of -1 and y -intercept of 3, complete the equation of L .
y = -x + 3
y = -3x + 3
y = 3x + 3
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3)
m = [tex]\frac{3-0}{0+1}[/tex] = 3
We are given the y- intercept, that is c = 3
y = 3x + 3 ← equation of line
Does the equation represent a direct variation? If so, find the constant variation. 3y=5x+4
Answer:
No.
Step-by-step explanation:
Direction variation is of the form y = kx.
This is not direct variation.
The equation 3y = 5x + 4 does not represent a direct variation because it includes a constant term '+4'. A direct variation would only have the form y = kx without any added or subtracted constants.
The equation 3y=5x+4 represents a direct variation, and if so, to find the constant of variation. A direct variation is when one variable is a constant multiple of another, expressed in the form y = kx, where k is the constant of variation. In this case, the equation 3y = 5x + 4 is not a direct variation because of the additional constant term '+4'. For it to be a direct variation, y must be alone on one side of the equation, and there should be no constant term added or subtracted with the term that is a multiple of x.
To be a direct variation, the equation needs to have the form y = kx. In the practice equation y + 7 = 3x, if we solve for y, we get y = 3x - 7 which still would not be a direct variation because of the -7. The other example equation 4y = 8 is not in the form of direct variation either since it has no variable x in it; it represents a horizontal line where y is a constant.
Two similar triangles are shown.
Triangle MNO was dilated, then _______ to create Triangle YHO.
rotated
reflected
translated
dilated
Answer:
rotated
Step-by-step explanation:
The triangle MNO has already been dilated and therefore, the answers were left to 3: rotated, reflected and translated. Triangle YHQ is not an image of triangle MNO. Thus, leaving only 2 choices: rotated and translated. If triangle MNO was translated, triangle YHQ was supposed to be in the same position as triangle MNO is and leaving only 1 option which is rotated.
Answer:
rotated
Step-by-step explanation:
the correct answer is rotated
when triangle Δ M N O was dilated to create Triangle Δ Y H Q
we can clearly see that the length of the sides of the triangle is increased and from the figure we can clearly see that the largest side is rotated.
marked angle is also rotated.
so, we can clearly say that to make Triangle Δ Y H Q triangle Δ M N O is dilated and rotated.
Jagdish is 3 years younger than Resham and Rajesh is 5 years older than Jagdish. If the product of present age of Resham and Rajesh is 960.How old is Jagdish?
Answer:
Jagdish is 27 years old
Step-by-step explanation:
Jagdish=x
Resham=x+3
Rajesh=x+5
(x+3)(x+5) = 960
x²+8x+15=960
x²+8x=945
x²+8x-945=0
now factor this to solve
(x-27)=0 (x+35)=0
which means
x=27 and x=-35
obviously, we cannot have negative ages so we use x=27
so, Jagdish=27
Resham=30
Rajesh=32
and we can check this by doing 30x32 which does equal 960 so it is correct
The age of Jagdish for the condition is 27 years.
What are quadratic equations?The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
Given Jagdish is 3 years younger than Resham
and Rajesh is 5 years older than Jagdish
let age of Jagdish be x
Resham = x + 3
Rajesh = x + 5
according to conditions,
(x + 3)(x + 5) = 960
x² + 8x + 15 = 960
x² + 8x = 945
x² + 8x- 945=0
now factor this to solve
(x - 27)(x + 35) = 0
(x - 27) = 0, (x + 35) = 0
which means
x=27 and x=-35
obviously, we cannot have negative ages so we use x = 27
Therefore, the age of Jagdish is 27 years.
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Need to find A, B, and C!
Answer:
Mean: 4.44 add up every number and divide it by how many there is.
Median: 3 put from least to greatest and count till the middle.
Mode: 3 because it appears the most
Answer:
A. Mean = $41900
B. Median = $37000
C. Mode = $37000
Step-by-step explanation:
A. Mean
Here
n=40
Mean = Sum of values/n
[tex]Mean = \frac{(3)(18000)+(3)(22000)+(3)(25000)+(5)(34000)+(17)(37000)+(2)(45000)+52000+(5)(80000)+140000}{40}\\=\frac{54000+66000+75000+170000+629000+90000+52000+400000+140000}{40} \\=\frac{1676000}{40}\\=41900[/tex]
Mean = $41900
B. Median:
As the number of salaries is even,
the median will be mean of middle two terms
[tex]Median= \frac{1}{2}(\frac{n}{2}th\ term+ \frac{n+2}{2}th\ term)\\= \frac{1}{2}(\frac{40}{2}th\ term+ \frac{40+2}{2}th\ term)\\=\frac{1}{2} (20th + 21st)}\\[/tex]
The 20th and 21st term will be 37000
So their mean will be same
So,
Median = $37000
C. Mode
Mode is the value which occurs most of the time in data.
the occurrence of 37000 is highest in the given data.
So,
Mode = $37000 ..
19.) Here's the data (sorted) of the ages of 91 women who won the Oscar for Best Actress in a Leading Role:
21, 22, 22, 24, 24, 24, 24, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 31, 31, 31, 32, 32, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 37, 37, 37, 37, 38, 38, 38, 39, 39, 39, 41, 41, 41, 41, 42, 42, 44, 45, 45, 45, 47, 49, 49, 54, 60, 60, 61, 61, 61, 62, 62, 74, 81
Give the five number summary.
Final answer:
The five number summary for the ages of best actress Oscar winners is composed of the minimum (21), first quartile (Q1 - 30), median (Q2 - 33), third quartile (Q3 - 41), and maximum (81) values.
Explanation:
The first step to finding the five number summary is to identify the minimum, first quartile (Q1), median (second quartile Q2), third quartile (Q3), and the maximum from the sorted dataset of best actress Oscar winners.
Minimum: The smallest number in the dataset is 21.
Q1: The first quartile is the median of the first half of the data. Since we have an odd number of data points (91), we split the data into two parts of 45 values each. The first quartile is the median of the first 45 ages, which is the 23rd data point in the sorted list when counting from the smallest age. In our case, Q1 is 30.
Median (Q2): The median is the middle value, which is the 46th data point for our 91 data points. The median is also the age of 33.
Q3: The third quartile is the median of the second half of the data. The third quartile is the 68th data point, which is the age of 41.
Maximum: The largest age in the dataset is 81.
Therefore, the five number summary of the ages of best actress Oscar winners is 21, 30, 33, 41, and 81.
Find angle measures and use angles to classify triangles.
Answer:
1) 55 degrees
2) 90 degrees
3) 105 degrees
Step-by-step explanation:
All triangles equal to 180 degrees. So to find the missing angle measure you have to subtract the two given measures by 180.
First triangle:
180 - 50 - 75 = 55 degrees
Second triangle:
180 - 60 - 30 = 90 degrees
Third triangle:
180 - 45 - 30 = 105 degrees
What is the coefficient of x3y2 in the expansion of (2x + y)5?
Step-by-step answer:
The coefficients of terms of (p+q)^n can be found by the Pascal's triangle for small values of n. Pascal's triangle will start with (1,1) = coefficients of (p,q)^n =1. For n=2, we add successive terms of the previous value of n. Thus for n-2, we have (, 1+1,11=(1,2,1), for n=3, we have (1,3,3,1), giving the following pattern:
(1,1)
(1,2,1)
(1,3,3,1)
(1,4,6,4,1)
(1,5,10,10,5,1)
meaning for n=5, the binomial expansion for (P+Q)^5 is
P^5+5P^4Q+10P^3Q^2+10P^2Q^3+5PQ^4+Q^5
Setting P=2x, Q=y in the term 10P^3Q^2, we get a term
10(2x)^3(y)^2
=10(8x^3)(y^2)
=80x^3y^2
So the required coefficient is K=80.
We can also find the coefficient 10 by binomial expansion of
n=5, x=3 in
C(n,x) = n! / (x! (n-x)!) = 5! / (2!3!) = 5*4*3/(1*2*3) = 10
Then again substituting 10(2x)^3(y)^2 = 80x^3y^2
to get the coefficient K=80.
Answer: 80
Step-by-step explanation: cuz
Need help QUICK! Given triangle ABC, which equation could be used to find the measure of angle B?
Plz look at pic for answers
Answer:
second option
Step-by-step explanation:
We are going to use the acronym:
"Soh Cah Toa".
Why? It tells us the right-triangle definitions of sine, cosine, and tangent.
sine is opposite over hypotenuse.
cosine is adjacent over hypotenuse.
tangent is opposite over adjacent.
So looking at our triangle with respect to B tells us that 3 is the opposite measurement and 6 is the adjacent. No matter what angle we are looking for in this triangle, the hypotenuse is constantly going to by [tex]3\sqrt{5}[/tex].
So let's look at cos(B).
[tex]\cos(B)=\frac{6}{3\sqrt{5}}[/tex]
We need to rationalize the denominator by multiplying top and bottom by sqrt(5):
[tex]\cos(B)=\frac{6\sqrt{5}}{3(5)}=\frac{2\sqrt{5}}{5}[/tex]
So now looking at sin(B).
[tex]\sin(B)=\frac{3}{3\sqrt{5}}[/tex]
We have to rationalize again by multiplying top and bottom by sqrt(5):
[tex]\sin(B)=\frac{3\sqrt{5}}{3(5)}=\frac{\sqrt{5}}{5}[/tex].
So looking at our triangle with respect to A tells us that 3 is the adjacent measurement and 6 is the opposite. No matter what angle we are looking for in this triangle, the hypotenuse is constantly going to by [tex]3\sqrt{5}[/tex].
We don't have to use any trigonometric ratios with A.
Answer:
2 Square 5/ 5
Step-by-step explanation:
I got it right on the test
If i^2 = −1 and a = (i + 7), which is the result of squaring a?
Answer:
48+14i
Step-by-step explanation:
So squaring (i+7) looks like this
(i+7)^2
(i+7)(i+7)
Use foil.
First: i(i)=i^2=-1
Outer: i(7)=7i
Inner: 7(i)=7i
Last: 7(7)=49
____________Add the terms.
48+14i
After solving the expression, the result of squaring value of a will be equal to 14i + 48.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the data provided by the question,
i² = -1
a = (i + 7)
Squaring the value of a,
a = (i + 7)(i + 7)
a = i² + 7i + 7i +49
a = -1 + 14i + 49
a = 14i +48
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The net of a square pyramid is shown:
Answer:
The surface area of the pyramid is 0.6625 inches²
Step-by-step explanation:
* Lets explain how to find the surface area of the square pyramid
- The square pyramid has 5 faces
- A square base
- Four triangular faces
- Its surface area is the sum of the areas of the five faces
- Area of the square = L × L , where L is the length of its sides
- Area of the triangle = 1/2 × b × h , where b is the length of its base
and h is the length of its height
∵ The length of the side of the square is 0.25 inches
∴ Area of the base = 0.25 × 0.25 = 0.0625 inches²
∵ The length of the base of the triangle is 0.25 inches and the length
of its height is 1.2 inches
∴ The area of its triangular face = 1/2 × 0.25 × 1.2 = 0.15 inches²
∵ The surface area of the pyramid = the sum of the areas of the 5 faces
∵ The area of the four triangular faces are equal
∴ The surface area = 0.0625 + (4 × 0.15) = 0.0625 + 0.6
∴ The surface area = 0.6625 inches²
* The surface area of the pyramid is 0.6625 inches²
What is the average rate of change for this function for the interval from x = 2
to x = 4?
Answer:
D
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 2, 4 ]
From the table
f(b) = f(4) = 16
f(a) = f(2) = 4, hence
average rate of change = [tex]\frac{16-4}{4-2}[/tex] = [tex]\frac{12}{2}[/tex] = 6
The average rate of change for a function is calculated using the change in y-values divided by the change in x-values.
Explanation:The average rate of change for a function is the change in the y-values (output) divided by the change in the x-values (input) over a given interval. To calculate the average rate of change for the function from x = 2 to x = 4, we need to find the change in y-values and the change in x-values for this interval.
Let's assume the function is f(x). We can calculate the average rate of change using the formula:
Average Rate of Change = (f(4) - f(2)) / (4 - 2)
Replace f(4) and f(2) with the corresponding y-values for x = 4 and x = 2, respectively, to get the final result.
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Select the correct answer.
Which point lies on a circle with a radius of 5 units and center at P(6, 1)?
OA. Q(1, 11)
OB. R(2, 4)
OC. S(4, -4)
OD. T(9, -2)
Answer:
b
Step-by-step explanation:
any set times the radius will give you the answer
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains of wheat, on the third square, four grains of wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining squares, what is the total weight in tons of all the wheat that will be placed on the first 51 squares? (Assume that each grain of wheat weighs 1/7000 pound. Remember that 1 ton equals 2000 lbs.)
Answer:
Step-by-step explanation:
The number of grains of wheat on the n(th) square is 2^(n-1), or 2 to
the power of n-1. This is because the first square has 2^0 = 1 grain,
the second has 2^1 = 2, and the n(th) square has twice as many as the
previous. Thus the total number of grains of wheat is
S = 1 + 2 + 4 + 8 + ... + 2^63.
Since this is a geometric sequence with common ratio 2, the sum is
2^64 - 1
S = -------- = 2^64 - 1 = 18446744073709551615.
2 - 1
What is the range of the exponential function shown below?
f(x) = 9.27
A: y<0
B:y>0
C: all numbers are real except 9
D: all real numbers
Answer:
Option B [tex]y> 0[/tex]
Step-by-step explanation:
we have
[tex]f(x)=9(2^{x})[/tex]
This is a exponential function of the form
[tex]y=a(b^{x})[/tex]
where
a is the initial value
b is the base
r is the rate
b=1+r
In this problem
a=9
b=2
r=2-1=1=100%
The domain for x is the interval ------> (-∞,∞)
All real real numbers
The range is the interval -----> (0,∞)
[tex]y> 0[/tex]
All real numbers greater than zero
see the attached figure to better understand the problem
Given f (x). find g(x) and h(x) such that f(x) = g(h(x)) and neither g(x) nor h(x) is solely x.
f(x)=
[tex] \sqrt{ - 2 {x}^{2} + 3 } - 5[/tex]
find g(x) and h(x)
[tex]g(x)=\sqrt x-5\\h(x)=-2x^2+3[/tex]
can u help me wit A, B, C, and D
And can you explain which statement would have the largest answer on the four choices
Answer:
D is 36080
Step-by-step explanation:
D is the largest since A is 3.608, B is 360.8, C is 36.08
When dividing, the smaller decimal points will be larger, but if you multiple, the numbers shrink.
can someone help me solve this step by step? tyyyy
Answer:
x=4/7
Step-by-step explanation:
6 - 2/3(x+5) = 4x
First I want to clear the fraction so I will multiply everything by 3
3*6 -3* 2/3(x+5) = 3*4x
18 - 2(x+5) =12x
Distribute
18 - 2x-10 =12x
Combine like terms
8 -2x = 12x
Add 2x to each side
8 -2x+2x =12x+2x
8 = 14x
Divide each side by 14
8/14 =14x/14
8/14=x
Divide top and bottom by 2
4/7=x
Consider the equation and its solution.
8(x-2)=64
8x-16=64
8x=80
x=10
Which property is used in the last step to find that X=10?
A. distributive property
B. addition property of equality
C. subtraction property of equality
D. division property of equality
Answer:
D. division property of equalityStep-by-step explanation:
[tex]8(x-2)=64\qquad\text{distributive property}\\8x-(8)(2)=64\\8x-16=64\qquad\text{add 16 to both sides}\\8x-16+16=64+16\qquad\text{addition property of equality}\\8x=80\qquad\text{divide both sides by 8}\\\dfrac{8x}{8}=\dfrac{80}{8}\qquad\text{division property of equality}\\x=10[/tex]
Answer:
ANSWER WOULD BE D . division property of equality
Step-by-step explanation:
Took the test the math is quite simple
Y intercept 3 and a slope of -6
Answer:
y=-6x+3
Step-by-step explanation:
Answer:
y=-6x+3
Step-by-step explanation:
because the slope will always have the X and in the middle you can put them together to get your answer
X^-2+4x^-1+3=0 solve by making appropriate substitution
ANSWER
[tex]x = - 1 \: or \: x = - \frac{1}{ 3} [/tex]
EXPLANATION
The given equation is:
[tex] {x}^{ - 2} + 4 {x}^{ - 1} + 3 = 0[/tex]
Recall that:
[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]
[tex] \frac{1}{ {x}^{2} } + \frac{4}{x} + 3 = 0[/tex]
Or
[tex] {( \frac{1}{x} )}^{2} + 4( \frac{1}{x} ) + 3 = 0[/tex]
Let
[tex]u = \frac{1}{x} [/tex]
Our equation then becomes:
[tex] {u}^{2} + 4u + 3 = 0[/tex]
The factors of 3 that add up to 4 are:
[tex] {u}^{2} + 3u + u + 3[/tex]
[tex]u(u + 3) + 1(u + 3) = 0[/tex]
[tex](u + 1)(u + 3) = 0[/tex]
[tex]u + 1 = 0 \: or \: u + 3 = 0[/tex]
[tex]u = - 1 \: or \: u = - 3[/tex]
This implies that:
[tex] \frac{1}{x} = - 1 \: or \: \frac{1}{x} = - 3[/tex]
[tex]x = - 1 \: or \: x = - \frac{1}{ 3} [/tex]
What is the range of the function f(x) = -|X - 4| + 5?
19 A. (-0,5)
B. (-09. 5)
C. (-5. infinity)
D. (5 .infinity)
Answer:
Range = (-∞, 5)
Step-by-step explanation:
This is the absolute value function with transformation.
The parent function is f(x) = |x|
This function has a "negative" in front, so it makes it reflect about x axis
The -4 after x makes horizontal translation of 4 units right
the +5 at the end makes the function translate 5 units UP
The graph is shown in the attached picture.
Looking at the graph, we can clearly see the range. The range is the allowed y-values. Hence, we can see that the range is -infinity to 5
answer is not properly given, so i can't choose from the options, but the answer is -∞, 5 to 5
How do u get straight A’s?
YOU
GOTTA
GET
SCHOOLED!
Study hard and don't let any thing distract you from your goal
define the radius of a circle
Answer: The radius is the distance between the center and the circumference of a circle and is half of the diameter of the circle .
Hopefully, this helps!
A line segment that joins the center of a circle to any point on the circle is called the radius of the circle. Whichever point on the circle we choose, the distance to the center of the circle will always be the same.
What is the slope of the line passing through (1, 2) and (3, 8)?
slope = 1/17
slope = 1/3
slope = 3
slope = 7
Answer:
Option C is correct.
Step-by-step explanation:
Points given are
(1,2) and (3,8)
The formula used for slope is:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
x₁ = 1, x₂=3, y₁=2 and y₂=8
[tex]m=\frac{8-2}{3-1}\\m=\frac{6}{2}\\m=3[/tex]
So, slope =3
Option C is correct.
Answer:
The slope of the line passing through (1,2) and (3,8) is 3.
Step-by-step explanation:
Slope formula is y2-y1/x2-x1
y2=8
y1=2
x2=3
x1=1
8-2/3-1
8-2=6
3-1=2
6/2=3
which inequality represents all values of x for which the quotient below is defined?√8x^2 divided by √2x
Answer:
The function is defined when x > 0
Step-by-step explanation:
Functions with radicals are only undefined when the value in the radical is negative, because the root of a negative number is imaginary.
We know the function is undefined when the denominator is equal to zero. [tex]\sqrt{2x}[/tex] is equal to zero when x=0.
We also know that functions with radicals are undefined when the value in the radicals are negative, because the root of a negative number is imaginary. . [tex]8x^{2}[/tex] will always be positive, but [tex]2x[/tex] is negative when x < 0.
So the function is undefined when x = 0, and when x < 0.
Therefore it is defined when x > 0
What is the area of the trapezoid
O 120in
O 140in
O 91in
O 182in
Answer:
A = 91 in²Step-by-step explanation:
The formula of an area of a trapezoid:
[tex]A=\dfrac{b_1+b_2}{2}\cdor h[/tex]
b₁, b₂ - bases
h - height
We have b₁ = 20in, b₂ = 6in and h = 7in.
Substitute:
[tex]A=\dfrac{20+6}{2}\cdot7=\dfrac{26}{2}\cdot7=(13)(7)=91\ in^2[/tex]