Answer:
The answer to your question is 20 ft squared
Step-by-step explanation: when you hear the word "side length", it means that whatever the side length is on one side, then this means that the other side lengths are gonna be the same side length as well. For example, we already know that a square garden has a side length of 5 ft. So, since we are trying to the find the area of the square garden, you can either multiply the side length of the square garden by 4, or you can add the side length of the square garden 4 times, which will look like this:
5ft*4ft=20ft2
or 5ft+5ft+5ft+5ft= 20ft2
Answer:
the answer is 25 ft2
Step-by-step explanation:
Find (f*f)(3)
f(x)=x^2-x
A. 30
B. 6
C. 33
D. -6
Answer:
A. 30Step-by-step explanation:
[tex](f\circ f)(x)=f\bigg(f(x)\bigg)\\\\f\bigg(f(3)\bigg)\\\\\text{Calculate}\ f(3):\\\\f(3)=3^2-3=9-3=6\\\\f\bigg(f(3)\bigg)=f(6)=6^2-6=36-6=30[/tex]
3/12 = _/4
Fill in the blank to make the fractions equivalent.
Answer:
1/4
Step-by-step explanation:
because if you use the process of breaking down the numbers they will end up going down to simplest form.
Answer:
3/12 = 1/4
Step-by-step explanation:
If we know 12 is equal to a fraction with the denominator of 4, we can divide 12 by 4 and get 3. This means we must also divide the numerator by 3 to get 3/3 = 1. Another way to solve this is to cross multiply. If 3/12 = _/4, we multiply the numerator of the first fraction by the denominator of the second fraction. Then, we get 12. Divide the 12 by the denominator of the first fraction to get 12/12. This will give you an answer of 1 as well.
Need help please?):!!
What is the value of x?
Please answer ASAP
Answer:
x = 5
Step-by-step explanation:
You have a right triangle, so you can use the Pythagorean Theorem.
a^2 + b^2 = c^2
x^2 + 12^2 = 13^2
x^2 + 144 = 169
x^2 = 25
x = 5
Answer: x = 5
Answer:
just do 13 time 12
Step-by-step explanation:
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.
(5 +1)3
Distributive property means that you must multiply the number directly outside the parentheses to all the numbers inside the parentheses
Look at the image below for the work!
Hope this helped!
Using the Distributive Property to expand and evaluate an expression.
Given expression: (5 + 1)3
Step 1: Apply the Distributive Property to expand the expression: (5 + 1)3 = 5 x 3 + 1 x 3
Step 2: Evaluate the expression: (5 + 1)3 = 15 + 3 = 18
Item Prompt
Segment MP is a diameter of circle O.
150°
What is the measure of arc MN?
B
I
U
S
x, x
=:
.
Answer:
30°
Step-by-step explanation:
Segment MP is the diameter of the circle, hence angle MOP has the measure of 180°.
Angles MON and NOP are supplementary angles (add up to 180°). Thus,
m∠MON+m∠NOP=180°
m∠MON=180°-m∠NOP
m∠MON=180°-150°=30°.
Angle MON is the central angle subtended on the arc MN. Thus, the measure of the arc MN is 30°.
Answer:
Arc MN is 30°Step-by-step explanation:
It's important to know that the whole arc of a circle is 360°.
So, if MP is a diameter, that means it divides the circle in two equal parts of 180° each.
Now, one half of this arc is formed by MN and 150°, so we can formulate the expression
[tex]MN+150\° = 180\° \\MN= 30\°[/tex]
Therefore, the arc MN is 30°.
This seems complicated please help me !!!!!!!
Answer:
The second answer is correct.
Step-by-step explanation:
What is the equation of the line?
y=0 because no matter what x value you have, y will always be 0
Y=0 because the y-axis of the line is 0
select the best definition for congruent (A same size) (B same shape but not necessarily the same size) (C same size not necessarily same shape) (D same size and same shape)
Answer:
(D same size and same shape)
Step-by-step explanation:
Congruent means the same size and shape.
Similar means the same shape, but not necessarily the same size
Answer:
The answer is : (D same size and same shape)
Step-by-step explanation:
Two shapes or figures are called congruent, when they are identical. When the angles are equal in degrees, they are called congruent angles and when sides are congruent, this means they have the same length.Two polygons are congruent if they have the same size and shape or if their corresponding sides and angles are equal.
Therefore, option D is correct.
The linear equation x = -2 will be parallel to the x-axis.
True
False
Answer:
False
Step-by-step explanation:
The equation x = c represents the equation of a vertical line parallel to the y- axis.
The equation y = c represents the equation of a horizontal line parallel to the x- axis
In both cases c is a constant
Hence x = - 2 is not parallel to the x- axis
the concession stand sells hot dogs for $3 and burger for $4. at last weeks football game, the stand sold 10 more hot dogs than burgers and made $184. write a system of equation to represent the situation
The system of equations to represent the concession stand sales situation is 3H + 4B = 184 for the total sales, and H = B + 10 for the quantity relationship, where H is the number of hot dogs sold, and B is the number of burgers sold.
To represent this situation with a system of equations, let's denote the number of hot dogs sold as H and the number of burgers sold as B. According to the problem, hot dogs are sold at $3 each and burgers at $4 each, and the stand made $184 in total. Also, we are told that 10 more hot dogs than burgers were sold at the game.
We can create two equations to represent this scenario:
The total sales equation: 3H + 4B = 184The quantity relationship equation: H = B + 10These two equations form the system that can be solved to find the number of hot dogs and burgers sold.
Solve for x in the triangle
A 25.6
B 27.8
C 45.6
D 64.4
Answer:
The measure of angle x is [tex]64.4\°[/tex]
Step-by-step explanation:
To find the measure of angle X, apply the law of cosines
The law of cosines states that
[tex]c^{2}=a^{2}+b^{2}-2(a)(b)cos(C)[/tex]
In this problem we have
[tex]a=19\ cm[/tex]
[tex]b=25\ cm[/tex]
[tex]c=24\ cm[/tex]
[tex]C=x\°[/tex]
substitute
[tex]24^{2}=19^{2}+25^{2}-2(19)(25)cos(C)[/tex]
[tex]576=986-950cos(C)[/tex]
[tex]cos(C)=(986-576)/950[/tex]
[tex]C=arccos[(986-576)/950]=64.4\°[/tex]
Therefore
The measure of angle x is [tex]64.4\°[/tex]
Identify the slope and intercept of the following linear equation y=3/4x-2
The slope is [tex]\frac{3}{4}[/tex] and x-intercept is [tex]\frac{8}{3}[/tex] and y-intercept is -2 of the linear equation [tex]y=\frac{3}{4}x-2[/tex].
What is Slope intercept form ?Slope intercept form is one of the forms used to calculate the equation of a straight line.
i.e. y = mx + b
Here, m= slope and y = intercept ,
We have,
[tex]y=\frac{3}{4}x-2[/tex]
Now,
Compare the given equation with the slope intercept form,
i.e.
y = mx + b
[tex]y=\frac{3}{4}x-2[/tex],
So,
Slope [tex](m)=\frac{3}{4}[/tex],
Now,
To know, the x-intercept,
put y = 0,
i.e.
[tex]0=\frac{3}{4}x-2[/tex]
⇒[tex]\frac{3}{4}x=2[/tex]
We get,
[tex]x=\frac{8}{3}[/tex],
Now,
To know, the y-intercept,
put x = 0,
i.e.
[tex]y=\frac{3}{4}*0-2[/tex]
We get,
y = -2
Hence, we can say that the slope is [tex]\frac{3}{4}[/tex] and x-intercept is [tex]\frac{8}{3}[/tex] and y-intercept is -2 of the linear equation [tex]y=\frac{3}{4}x-2[/tex].
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Final answer:
The slope of the equation y = 3/4x - 2 is 3/4, and the y-intercept is -2.
Explanation:
The linear equation given is y = 3/4x - 2. In this equation, the coefficient of x represents the slope and the constant term represents the y-intercept. Therefore, the slope of the line is 3/4 and the y-intercept is -2. The slope indicates that for each unit increase in x, y increases by 3/4, while the y-intercept tells us that when x is 0, the value of y is -2, indicating the point at which the line crosses the y-axis.
in 18 days, 20 workers can build a school. How many days would it take if there were only 12 workers?
To build a school;
20 workers -> 18 days.
So 1 worker -> 18/20 days.
So; 12 workers -> (12×18)/20 days.
-> (12×9)/10 days
->10.8 days.
so 10.8 days is your answer.
Hope it helps...
Regards;
Leukonov/Olegion
If 20 workers can build a school in 18 days, how many days will it take 12 workers to build the same school?
☯ Explanation -:In this question we are provided that 20 workers can build a school in 18 days. We are asked to calculate how many days will 12 workers will take to do the same work.
We can solve this question using two methods :
Unitary MethodMethod of proportion[tex] \small\bf{ Unitary \: Method}[/tex]
20 workers can build a school in 18 days
1 worker can build a school in 20 × 18 days
12 workers can build a school in [tex]\dfrac{20 × 18 }{12}[/tex] = 30 days.
Hence the required number of days is 30.[tex] {{\rule{40mm}{4pt}}}[/tex]
[tex] \small\bf{ Method \: of \: proportion }[/tex]
Let us assume that 12 workers can finish the work in x days.
[tex]\begin{array}{c|c} \bf{Number \: of \: workers }& \bf{Number \: of \: days}\\ 20 & 18 \\ 12 & x\end{array}[/tex]
Ratio of workers = Inverse ratio of days
[tex] \small\sf{ 20 : 12 :: x : 18}[/tex]
Product of mean = Product of extreme
[tex] \small\rm{ 12 \times x = 20 \times 18}[/tex]
[tex] \small \rm{ \dfrac{20 \times 18}{12} = 30 \: days}[/tex]
Hence the required number of days is 30.[tex] \rule{72mm}{5pt}[/tex]
Write a polynomial function in standard form with zeros at 0,1 and 2.
PLEASE HELP!!!
A. F(x)=x(x+1)(x+2)
B. F(x)=x(x-1)(x-2)
C. F(x)=x^3+3x^2+2x
D. F(x)=X^3-3x^2+2x
The answer is B, if you substitute x with 0 1 or 2 the result will always be 0
ANSWER
[tex]f(x) ={x}^{3} - 3 {x}^{2} + 2x[/tex]
EXPLANATION
If the polynomial function has zeros at 0,1 and 2
Then the polynomial can be written in factored form as:
F(x)=x(x-1)(x-2)
We expand to get,
[tex]f(x) =x({x}^{2} - 3x + 2)[/tex]
Expand further to obtain:
[tex]f(x) ={x}^{3} - 3 {x}^{2} + 2x[/tex]
The polynomial in descending powers of x is said to be in standard form .
The last choice is correct.
Find the missing probability in the table below.
X 1 2 3 4
P(X) 0.30 0.40 0.15 ?
Never mind I solved it. :3
ANSWER
The missing probability is 0.15
EXPLANATION
From the given probability distribution table.
P(1)=0.30
P(2)=0.40
P(3)=0.15
P(4)=?
For for this to represent a probability distribution function,then the sum of all the probabilities must be equal to 1.
P(1)+P(2)+P(3)+P(4)=1
This implies that,
0.30+0.40+0.15+P(4)=1
0.85+P(4)=1
P(4)=1-0.85
P(4)=0.15
Therefore the missing probability is 0.15
Find the distance between the points given. (2, 2) and (5, 5) 3
For this case we have that by definition, the distance between two points is given by:
[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}\\(x_ {1}, y_ {1}) :( 2,2)\\(x_ {2}, y_ {2}) :( 5,5)[/tex]
Substituting the points:
[tex]d = \sqrt {(5-2) ^ 2 + (5-2) ^ 2}\\d = \sqrt {(3) ^ 2 + (3) ^ 2}\\d = \sqrt {9 + 9}\\d = \sqrt {18}\\d = 3 \sqrt {2}[/tex]
ANswer:
[tex]d = 3 \sqrt {2}[/tex]
Write the equation of the line with the following characteristics.
Slope of 5 through the point (0,3)
PLZ HELP I WILL VOTE YOU AS BRAINIEST ANSWER!
Answer:
y = 5x + 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 )
here m = 5, hence
y = 5x + c
The line passes through the y- axis at (0, 3) ⇒ c = 3
y = 5x + 3 ← equation of line
What is the slope of the line that contains the points (-4,2) and (6,-3)?-
Select one:
a.-2
b.1/2
C -1/2
D -2/3
Answer:
c
Step-by-step explanation:
the formula is [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1}}[/tex]
When we plug that in we get [tex]\frac{-3-2}{6- (-4)} = \frac{-5}{10} = -\frac{1}{2}[/tex]
Hope this helps!
A grocery, a cafe, a boutique, and a dance studio have the addresses 500 Elm, 524 Elm, 538 Elm, and 544 Elm, but not necessarily in that order. The boutique is between the cafe and the studio. The studio has the highest address. The grocery is between the cafe and boutique.
Answer:
500 Elm: Cafe
524 Elm: Grocery
538 Elm: Boutique
544 Elm: Dance studio
Step-by-step explanation:
We know that the dance studio has the highest address, so 544.
For the others let's examine the possibilities.
The boutique is between the cafe and the studio, that means the following are possible:
Boutique can be at either 524 or 538, cannot be at 500 (since cafe has to be on the its left.
Cafe can be 500 or 524, cannot be 538 since boutique has to be between cafe and studio.
The grocery is between the cafe and boutique. Meaning the grocery cannot be 500 nor 538, since it has to be in the middle of the 3 remaining businesses. So, grocery is at 524.
Meaning the Cage is at 500 and the boutique is at 538.
Answer:
B
Step-by-step explanation:
On edge
find the correct trigonometry formula to solve for X.
Answer:
The correct answer is last option
Cos(55) = 11/x
Step-by-step explanation:
Points to remember
Trigonometric ratios
Sin θ = Opposite side/Hypotenuse
Cos θ = Adjacent side/Hypotenuse
Tan θ = opposite side/Adjacent side
From the figure we can see a right angled triangle, with one angle is 55 degree, one side is 11 and hypotenuse is x
To find the correct trigonometric formula
Here we have adjacent side of angle 55
Cos 55 = Adjacent side/Hypotenuse
Cos 55 = 11/x
Therefore the correct answer is last option
A set of data with a mean 56 and a standard deviation 3.3 is normally distributed. find 2 standard deviations from the mean
Answer:
To the right we have 62.6 while to the left we have 49.4
Step-by-step explanation:
A normal distribution is usually symmetric with respect to the mean. The mean of the distribution is also the mode as well as the median.
The general formula for points that lie n standard deviations away from the mean on either sides of the mean is given by the formula;
mean ± n(σ)
where σ is the standard deviation of the distribution;
Two standards deviations from the mean imply that n = 2;
56 ± 2(3.3)
56 ± 6.6
To the right we have 62.6 while to the left we have 49.4
Find an equation, in slope-intercept form, that passes through point (-5, 6) with slope -2.
Select one:
a. y = -2x + 3
b. y = -2x - 4
c. y = 2x - 4
d. y = 2x + 3
Answer:
The desired equation is y = -2x - 4
Step-by-step explanation:
The general slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Starting from that, substitute the given values for m, x and y and calculate b:
6 = -2(-5) + b. Then 6 = 10 + b, and b = -4.
The desired equation is y = -2x - 4.
The playlist consists of 21 songs by The Working Mamas, 12 songs
by Chef Mo Cheese, 36 songs by The Snippers, 54 by Lucy and
The Jungle Cats, and 27 by Nuestra Paradise.
What's the probability of Chef Mo Cheese playing?
Write the answer as a percent.
artist.
Answer:
8%
Step-by-step explanation:
Which of the following numbers have an absolute value of 5? Select all that apply.
-5
5
0
1/5
-1/5
Answer: -5, and 5
Step-by-step explanation: an absolute value can only be positive. So -5 and 5 are the only answers that will give you 5.
Answer:
B and D.
Step-by-step explanation:
–15
–5
0
5
15
Absolute Value Assignment
Finding Absolute Value
need help fast!!!!!!!!!!!!!!!
k(3)=13(3)-2
k(3)= 39-2
Answer is k(3)= 37
ANSWER
[tex]k(3) = 37[/tex]
EXPLANATION
The given expression is
[tex]k(t) = 13t - 2[/tex]
We want to find k(3).
We substitute t=3 into the expression to get:
[tex]k(3) = 13(3) - 2[/tex]
We multiply out to get,
[tex]k(3) = 39- 2[/tex]
Simplify to get,
[tex]k(3) = 37[/tex]
If m=3 = what is the value of 3m?
Answer: 9
Step-by-step explanation:
M=3 and the equation is 3m so your going to multiply. So the equation would be 3*3 and 3*3=9 so that's your answer
Will you help me?
A square banner had 4 feet added its width and 2 feet subtracted from its height. The banner then had an area of 91 square feet. How long was a side of the original square banner?
Answer:
The length side of the original square banner was 9 ft
Step-by-step explanation:
Let
x-----> the length side of the original square banner
we know that
The new area of the banner is equal to
[tex]91=(x+4)(x-2)[/tex]
Solve for x
[tex]91=(x+4)(x-2)\\ \\91=x^{2}-2x+4x-8\\ \\x^{2}+2x-99=0[/tex]
Solve the quadratic equation by graphing
The solution is x=9 ft
see the attached figure
To determine the length of the original square banner, we can set up an equation using the given information and solve for the side length.
Explanation:To solve this problem, let's first represent the length of the original square banner as x. According to the question, 4 feet is added to the width, so the width becomes x + 4. Also, 2 feet is subtracted from the height, so the height becomes x - 2. The area of a square is calculated by multiplying the side lengths, so we have (x + 4)(x - 2) = 91.
Expanding the equation, we get x² + 2x - 8 = 91. Rearranging the equation, we have x² + 2x - 99 = 0. This is a quadratic equation that can be solved by factoring, completing the square, or using the quadratic formula.
By factoring, we find (x + 11)(x - 9) = 0. So, x = -11 or x = 9. Since we cannot have a negative length for a banner side, we discard x = -11. Therefore, the length of the side of the original square banner is 9 feet.
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Determine the intercepts of the line that correspond to the following table of values.
Answer:
Part 1) The x-intercept is the point (-5,0)
Par 2) The y-intercept is the point (0,-17.5)
Step-by-step explanation:
step 1
Find the x-intercept
we know that
The x-intercept is the value of x when the value of y is equal to zero
Observing the table
For x=-5, y=0
therefore
The x-intercept is the point (-5,0)
step 2
Find the equation of the line
Find the slope m
we have
(-7,7) and (-5,0)
[tex]m=(0-7)/(-5+7)\\ m=-3.5[/tex]
Find the equation of the line into point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=-3.5[/tex]
point (-5,0)
substitute
[tex]y-0=-3.5(x+5)[/tex]
[tex]y=-3.5(x+5)[/tex]
Find the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
For x=0
[tex]y=-3.5(0+5)[/tex]
[tex]y=-17.5[/tex]
therefore
The y-intercept is the point (0,-17.5)
What is 7.04 trillion in scientific notation
Answer:
7.04 trillion = 7.04 x 10¹²
Step-by-step explanation:
Answer: 7.04 x 10^12
Step-by-step explanation:
Just took the test :)