The area of the square is given by:
[tex]A=s^2[/tex]Where s is the length of the side. Then s=(2x+1) km.
By replacing this into the formula we have:
[tex]A=(2x+1)^2[/tex]Also, the square of a sum is given by:
[tex](a+b)^2=a^2+2ab+b^2[/tex]If a=2x and b=1, then:
[tex]\begin{gathered} (2x+1)^2=(2x)^2+2(2x)(1)+(1)^2 \\ (2x+1)^2=4x^2+4x+1 \end{gathered}[/tex]Thus, the area of the square in terms of the variable x is:
[tex]A=4x^2+4x+1[/tex]Question 33R, it is one am for me and I have exams tomorrow, please be very quick and include the answer in bold. Thanks
Given:
scale rated 2.2
other rating is 4.6
Magnitude diff. is:
[tex]\begin{gathered} =4.6-2.2 \\ =2.4 \end{gathered}[/tex]17. Darla Waters has a gross weekly pay of $475.00. Her earnings to date for this year is $ 5700.00. What is thetotal deduction this week for Social Security taxes (1 point) and Medicare taxes (1 point)?
Solution:
Icomplete information.
What is f(2) for the function f(x) = 2x^2 + 6x – 5?
f(x) = 2x² + 6x – 5
To find f(2) you have to replace x = 2 into the function, as follows:
f(2) = 2(2)² + 6(2) – 5
f(2) = 2(4) + 12 – 5 Solving the square and the multiplication
f(2) = 8 + 12 – 5 Solving the multiplication
f(2) = 15
There are 23 students in a class, and 6 of them will be chosen to go on a field trip. How many ways can these students be chosen?
To find how many ways a group of 23 students can be chosen from a group of 6, we use combinations, where the order doesn't matter.
Combinations are found with the next formula:
[tex]\text{nCr}=\frac{n!}{r!(n-r)!}[/tex]Where n is the total of persons and r is the sample asked.
Therefore:
n=23 and r=6
Replacing the values:
[tex]23C6=\frac{23!}{6!(23-6)!}[/tex]Then:
[tex]23C6=100947[/tex]Hence, there are 100947 ways that 23 students can be chosen from a group of 6.
Multiply pair conjugates using Product of Conjugates Pattern ( xy-9)(xy +9)
Given the following pair of conjugates:
[tex]\mleft(xy-9\mright)\mleft(xy+9\mright)[/tex]As shown, the same terms and the different signs
This is called the factor of the square difference
The product will be as follows:
[tex]\mleft(xy-9\mright)\mleft(xy+9\mright)=(xy)^2-(9)^2=x^2y^2-81[/tex]So, the answer will be:
[tex]x^2y^2-81[/tex]consider the following data. Find the standard variance .round your answer to one decimal place .
The variance of a data set is given by the formula:
[tex]s^2=\sum ^{}_i(x_i-\mu)^2P(x_i)[/tex]Where μ is the mean given by the formula:
[tex]\mu=\sum ^{}_ix_iP(x_i)[/tex]Therefore, in our problem:
[tex]\begin{gathered} \mu=3\cdot0.3+4\cdot0.1+5\cdot0.2+6\cdot0.2+7\cdot0.2=4.9 \\ \Rightarrow\mu=4.9 \end{gathered}[/tex]Then, the variance is:
[tex]\begin{gathered} s^2=0.3(3-4.9)^2+0.1(4-4.9)^2+0.2((5-4.9)^2+(6-4.9)^2+(7-4.9)^2) \\ \Rightarrow s^2=2.29 \end{gathered}[/tex]Thus, the variance is 2.29
what is the area of triangle Givenchy height 137 and base 203
the area is calculated according to:
[tex]area=\frac{1}{2}\times203\times137=13,905.5[/tex]
What is the simple interest on $4000 principal at 5% for 3/4 years
Answer:
$150
Explanation:
The simple interest can be calculated using the following equation
I = Prt
Where P is the principal, r is the rate as a decimal and t is the number of years.
So, replacing P = $4000, r = 5% = 0.05 and t = 3/4 years, we get:
I = ($4000)(0.05)(3/4)
I = $150
Therefore, the simple interest is $150
Find q4(q - 15) = 20
Answer
q = 20
Explanation
Given equation:
[tex]4(q-15)=20[/tex]The first step in finding q is open the parenthesis:
[tex]\begin{gathered} 4\times q-4\times15=20 \\ 4q-60=20 \end{gathered}[/tex]Add 60 to both sides of the equation:
[tex]\begin{gathered} 4q-60+60=20+60 \\ 4q=80 \end{gathered}[/tex]Finally, divide both sides by 4 to get q:
[tex]\begin{gathered} \frac{4q}{4}=\frac{80}{4} \\ q=20 \end{gathered}[/tex]Rewrite to give an equation without logarithm. Do not solve for X. Solve the equation select the correct choice below and if necessary fill in the answer back to complete your choice
Given:
[tex]log_2(2x+9)=2[/tex]Required:
We need to solve the given equation.
Explanation:
Consider the formula.
[tex]log_a(b)=x\Rightarrow a^x=b.[/tex]The given equation can be written as follows.
[tex]2^2=2x+9[/tex][tex]4=2x+9[/tex]Solve for x.
[tex]4=2x+9[/tex]Subtract 9 from both sides of the equation.
[tex]4-9=2x+9-9[/tex][tex]-5=2x[/tex]Divide both sides by 2.
[tex]-\frac{5}{2}=\frac{2x}{2}[/tex][tex]-\frac{5}{2}=x[/tex]Final answer:
Rewrite the given equation without logrithmic.
[tex]4=2x+9[/tex]The solution for x.
[tex]x=-\frac{5}{2}[/tex]Which of these four figures are congruent to the top figure? OD ОС ОА B
Congruency is the the quality of two things to be similar to each other.
The shape we use as reference is a parallelogram that has the three blue dots distributed along its longer diagonal with minimal space between them.
Therefore, any other shape congruent to it must agree to this condition.
Option C agrees to this condition.
i start at (3,2). You move down 1 unit and left 3 units. Where do u end
Given the initial coordinate: (3,2)
Moving down 1 unit means a negative displacement of 1 unit to the y-axis.
Moving left 3 units means a negative displacement of 3 units to the x-axis.
We get,
[tex](x^{\prime},y^{\prime})\text{ = (x + A,y + B) = (3 - 3, 2 - 1) = (0, 1)}[/tex]Therefore, after moving down 1 unit and left 3 units, you end at coordinate 0,1.
this is just a normal not really a long question which we would like to check how it looks in session history.
check how sort question looks
Will the slope here be -7? I’m not sure on this
In the given graph, the line passes through at y = -7
Thus equation of line is y = -7
The general equation of line represent as;
[tex]\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ or\text{ } \\ y-y_1=m(x-x_1),m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]Consider any two coordinate as; (0 ,-7) and (2, -7)
Substitute this coordinate in the equation of line as;
[tex]\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-(-7)=\frac{-7-(-7)}{2-0}(x-0) \\ y+7=\frac{-7+7}{2}x \\ y+7=0x \end{gathered}[/tex]Thus, here slope = 0
For the vertical intercept, x= 0 and y = -7
Therefore;
....................
The citizens of a city were asked to choose their favorite pet. The circle graph shows how the citizens answered the questions, how many chose hamsters, birds, or fish.
To find how many chose hamsters, birds, or fish we first verified that the sum of all the percentages is 100% to check that the citizens answered just one time each one.
We have that 17+22+21+27+7+6 = 100.
Now hamsters, birds, or fish is an union of the people that answered this is a sum 6+21+17 = 44 in this case because the events are independients this means the intersection is empty. So the answer is 44.
37 of 75 customers in the store made a purchase of at least 20. Roimateky what percent of the customers made a purchase of at least 2207 A 20% 35% C 60% 0.76% walay ducation Page 5 WWW.26 & ZRP.A.3 Common Astment
Answer:
C. 50%
Explanation:
We are told that 37 of 7
given the definitions of f(x) and g(x) below find the value of g(f(1)).f (x)= -3x + 4 g(x)= x squared + 7x + 5
f(x) = -3x + 4
g(x) = x^2 + 7x + 5
g(f(x)) = put x = f(x) in equation g(x)
g(f(x)) = (-3x + 4)^2 + 7(-3x + 4) + 5
put x = 1
g(f(1)) = (-3(1) + 4)^2 + 7(-3(1) + 4) + 5
= (-3+4)^2 + 7(-3 + 4) + 5
= 1^2 + 7(1) + 5
= 1 + 7 + 5
= 13
so the answer is 13
One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams of protein from other sources. How many grams of protein do you need daily?A. 50 gramsB. 52 gramsC. 96 gramsD. None of the aboveI will appreciate the help.
4%---------------------->xg
96%-------------------->48g
[tex]\begin{gathered} \frac{4}{96}=\frac{x}{48} \\ x=\frac{48\times4}{96} \\ x=2 \end{gathered}[/tex]Answer:
You need:
48g + 2g = 50g
A. 50 grams
What are the coefficients?12x + 8 < 9 + 2X
This problem is about coefficients.
It's important to know that a coefficient is a number used to multiply a variable. In other words, coefficients are all numbers placed in front of a variable.
Being said that, in this case, coefficients are 12 and 2, because these numbers multiply a variable.
Therefore, the right answer is 12 and 2.Need help with this graph.Given the inequality: y < 3x+1. Identify the graph that describes the inequality.
The Solution:
Given the inequality below:
[tex]y<3x+1[/tex]We are required to the graph that describes the graph above.
[tex]\begin{gathered} \text{ when x=0} \\ y=3(0)+1=1 \\ (0,1) \\ \text{ When y=0} \\ 0=3x+1 \\ -1=3x \\ x=-\frac{1}{3} \\ (-\frac{1}{3},0) \end{gathered}[/tex]The required graph is attached below:
1. Here is an inequality below: Select ALL of the values that are a solutionto the inequality.*72 +62<3r+2X=-3X-2X = -1X=0x= 1x = 2X = 3
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given inequality
[tex]\frac{7x+6}{2}\le3x+2[/tex]STEP 2: Solve for x
[tex]\begin{gathered} \frac{7x+6}{2}\le3x+2 \\ \mathrm{Multiply\: both\: sides\: by\: }2 \\ 7x+6\le2(3x+2) \\ 7x+6\le\: 6x+4 \\ \mathrm{Subtract\: }6\mathrm{\: from\: both\: sides} \\ 7x+6-6\le\: 6x+4-6 \\ \text{By simplification,} \\ 7x\le\: 6x-2 \\ \mathrm{Subtract\: }6x\mathrm{\: from\: both\: sides} \\ 7x-6x\le\: 6x-2-6x \\ x\le\: -2 \end{gathered}[/tex]STEP 3: Select the values that are a solution to the inequality
[tex]\begin{gathered} \text{ Since }x\le-2,\text{ this means that x is less than or equal to -2} \\ \text{This implies that all values less than or equal to 2 are a solution to the inequality} \\ \text{Looking at the options, the values that are less than or equal to 2 are:} \\ x=-3,x=-2 \end{gathered}[/tex]Hence, the values that are a solution to the inequality are:
Which information is not enough to prove quadrilateral ABCD is a parallelogram?
To prove :
ABCD is a parallelogram
For parallelogram, if one pair of opposite sides of a quadrilateral are congruent and parallel then the quadrilateral is a parallelogram.
Thus, in option (2) their is not enought information to prove that ABCD is a parallelogram because AB and CD are given congruent but not given parallel.
Similarly, BC and DA are given congruent but not given parallel.
So, the correct option is (2)
Use a property to write a equivalent expression for 12 *(100-5). Which property did you use
Equivalent expression to the given expression 12 × ( 100 - 5 ) using distributive property multiplication over subtraction is given by
12 × 100 - 12 × 5.
As given in the question,
Given expression is equal to :
12 × ( 100 - 5 )
Simplify it using distributive property multiplication over subtraction to get its equivalent expression we have,
A × ( B - C ) = A × B - A × C
Here , Value of A = 12 , value of B = 100 , and value of C = 5
12 × ( 100 - 5 )
= 12 × 100 - 12 × 5
= 1200 - 60
= 1140
Therefore, equivalent expression to the given expression 12 × ( 100 - 5 ) using distributive property multiplication over subtraction is given by
12 × 100 - 12 × 5.
Learn more about equivalent expression here
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(F.LE.5) The function f(x) = 7.75x models the amount of money that Jimearns for each hour of work. What is the meaning of the coefficient of x?A. There is no initial amount of money he gets paid prior to startingB. His hourly wageC. His total amount he gets paid for the dayD. The number of hours Jim has worked
Solution
Given the function f(x) = 7.75x
The coefficient of x is 7.75
7.75 represents his hourly wag
factoring out; 50y + 100
Factor the expression 50y + 100.
[tex]\begin{gathered} 50y+100=50y+50\cdot2 \\ =50(y+2) \end{gathered}[/tex]So answer is 50(y + 2).
The y-value of which function’s y-intercept is larger, f or h?
Answer:
h
Explanation:
The y-value of the y-intercept is the value of y when x is equal to 0, so for the first function, we need to calculate f(x) for x = 0 as:
[tex]\begin{gathered} f(x)=\log _2(x+8) \\ f(0)=\log _2(0+8) \\ f(0)=\log _2(8) \\ f(0)=3 \end{gathered}[/tex]So, the y-value of the first function's y-intercept is 3.
On the other hand, for the second function, when x = 0, h(x) is 4. It means that the y-value of the second function's y-intercept is 4.
Since 4 is larger than 3, the function with the largest y-value in its y-intercept is h(x). So, the answer is h(x)
Diamond spends a total of 45 minutes singing and She burns 5 calories per minute singing and 15 calories per minute dancing.Create an equation comparing the number of minutes Diamond spends singing (s) and the number of minutes she spends dancing (d) to the total number of calories she burns (C).Solve the equation to determine the total number of calories Diamond burns if she spends 20 minutes of her time singing.my teacher said base the on her spending 20 minutes singing
Answer:
475 calories.
Explanation:
The number of minutes Diamond spends singing = s
The number of minutes she spends dancing =d
Since she spends a total of 45 minutes singing
• s+d=45
Since she spends 20 minutes of her time singing.
• s=20 minutes
Substitution into: s+d=45
[tex]\begin{gathered} 20+d=45 \\ d=45-20=25 \end{gathered}[/tex][tex]\text{Rate}=\frac{Number\text{ of calories burned}}{Time}[/tex]The number of calories burned = Time X Rate
Therefore:
[tex]C=5s+15d[/tex]We then substitute s=20 minutes, d=25 minutes into C.
[tex]\begin{gathered} C=5s+15d \\ =5(20)+15(25) \\ =100+375 \\ =475 \end{gathered}[/tex]The total number of calories Diamond burns is 475 calories.
The following refer to the following data set:31.8 63.4 47.2 26.8 44.632.8 63.4 63.4 45.4 59.4What is the arithmetic mean of this data set?mean -What is the median of this data mset?median -What is the mode of this data set?mode
determine whether the line is a tangent, secant, a secant that contains the diameter, or none of these. Graph the circle using your calculator or online calculator or graph paper. Then graph this line.
As suggested, we will use a diagram that includes the circle and the line to decide what type of chord is the line to the circle.
The graph of the circle and the line is:
From the above graph, we get that the line is exterior to the circle and never touches it. Therefore, the line is not a tangent, a secant, or a secant that contains the diameter.
Answer:
None
The distance between Bricktown and Koala Creek is 75 km. A person travels from Bricktown to Koala Creek at an average speed of 50 km/h.How long does it take the person to complete the journey?
distance = 75 km
speed = 50 km/h
Speed = distance / time
time = Distance / speed
Time = 75 km / 50 km/h = 1.5 hours = 1 hour 30 minutes