QUICK ANSWERS ONLY! 47. Find the value of x. The diagram is not to scale.4242402323A. 80B. 84C. 40D. 46
The first Option is the correct option
i can’t find the answer, help?
Answer:
-3
Step-by-step explanation:
4a - 2(a + b) + 1 = ?
4(2) - 2(2 + 4) + 1
8 - 2(6) + 1
8 - 12 + 1
-4 + 1 = -3
I hope this helps!
Solve -2x + 3 >-3A. X> 3B. X>0C. X<0D. X<3E. X>-2
when you remove a negative sign you turn the symbol
so, the solution is D
After harvest a company ships 100 bushels of apples to a grocery store and keeps the remaining up to make cider and desserts the remaining our previous 1/3 are used for Seiter 2/3 are used for desserts what does the expression 1/3 parentheses X -100 represent in this situation
Answer: the number of apples used for cider.
Explanation:
If 100 apples are shipped then out of an initial quantity X of apples, there are only left:
[tex]x-100[/tex]Out of this x-100 apples 1/3 are used for making cider, and 2/3 are used for desserts.
When we multiply 1/3 by (x-100) we will get the number of apples used for cider.
And when we multiply 2/3 by (x-100) we will get the number of apples used for desserts.
In this case we are asked for what does the following expression represent:
[tex]\frac{1}{3}(x-100)[/tex]This, for the reason previously stated, is the number of apples used for cider.
Answer the following.(a) Find an angle between 0° and 360° that is coterminal with 1260°(b) Find an angle between 0 and 2pi that is coterminal with-23pi/12Give exact values for your answers.
Answer:
[tex]\begin{gathered} a)\text{ 180 deg} \\ b)\text{ }\frac{\pi}{12} \end{gathered}[/tex]Explanation:
a) Here, we want to find an angle between 0 and 360 degrees that is coterminal with 1260
To find angles coterminal with an angle, what we have to do is to subtract multiples of 360 degrees from it
Now, let us find the number of times we can have 360 in 1260
By division, we have it that 1260/360 = 3.5
Now, to find the coterminal angle within the range, we have it that:
[tex]1260-3(360)\text{ = 1260-1080 = 180}[/tex]The coterminal angle within the given range is 180 degrees
b) Mathematically, we know that the term "pi" represents 180 degrees
Thus 2 pi is same as 2 * 180 = degrees
For ease of convenience, let us have the angle given in degrees
We have this as:
[tex]\frac{23\times180}{12}\text{ = -345 }[/tex]Now, let us proceed
What we have to do is to add this to 360 degrees so we can get the positive coterminal in degrees
We have this as -345 + 360 = 15
Lastly, we represent this in radians as follows:
[tex]\frac{\pi}{12}[/tex]
can someone please help me find the value of X?
we have that
In an inscribed quadrilateral, opposite angles are supplemantary
that means
x+125=180 degrees
solve for x
x=55 degreeswrite an equation of the line in point slope form that passes through the given points (3,4) and (4,6)An equation of the line is??
re The point-slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]The slope m of the line passing through these two points is the difference between their y coordinates divided by the difference between their x - coordinate.
[tex]m=\frac{6-4}{4-3}[/tex][tex]m=2[/tex]Now we need only find the y-intercept.
Let us use the point (3, 4) which tells us that at x = 3, y = 4; therefore,
[tex]4-y_1=2(3)[/tex][tex]y_1=-2[/tex]Hence, the question of our line in point-slope form is
[tex]\textcolor{#FF7968}{y+2=2x}[/tex]Alternatively, when we have the slope of the line we would just use one of the points to quickly write the point-intercept form.
The y_1 and x_1 in the very first equation are the coordinates of one of the points on the line =. We know that one of the point on our line is (3, 4);
Akira and Taro want to raise $537. after four weeks they have raised $498. how much more money do they need earn?
Given
Akira and Taro want to raise $537. after four weeks they have raised $498
Answer
Total money more needed = 537 - 498 = $39
the question is asking can the number of mosquito bites be represented as a function of the amount of repellent used? yes or no? I need help
If we have a set of ordered pair (like this table here) we can know if it can represent a function if the numbers on x (the variable that the function depends on) are repeated or not. If they repeat, then is not a function.
In this problem we can see that the amount of cans of repellent used is 0 1 5 4 2 4 3 2. This is our x. You see, of these numbers, 4 and 2 repeat so the answer is no, it cannot be represented as a function of the amount of cans of repellent used.
Select the correct answer from each drop-down menu. The table represents function f, and the graph represents function g. X -2 -1 0 1 1 2 3 4 No N 7 0 -5 -8 -8 -5
a) The line of symmetry for function f is x = 2, and the line of symmetry for function g is x= 1
b) The y-intercept of function f is is greater than the y-intercept of function g
c) Over the interval [2,4], the average rate of change of function f is less than the average rate of change of the function g
Here, we want to compare some important properties for both functions
We have it as the folllowing;
a) Line of Symmetery
The line of symmetery is that line that divides the quadratic graph into two equal parts of right and left
For the function f, the line of symmetry is x = 2 while the line of symmetry for function g is also x = 1
b) y-intercept
The y-intercept of the function refers to the point at which the graph/plot touches the y-axis
It is the point at which x is 0
For function f, the y-intercept is y = -5
For function g, the y-intercept is y = -6
c) Average rate of change
The average rate of change of a function over an interval [a,b] can be calculated using the formula;
[tex]\frac{f(b)-f(a)}{b-a}[/tex]According to thisn question, a is 2 while b is 4
For the function f; f(2) is -9 while f(4) is -5
For the function g; g(2) is -6 while g(4) is 2
So the average rate of change for the function f on the interval is;
[tex]\frac{-5+9}{4-2}\text{ = 2}[/tex]For the function g, the average rate of change on the interval is;
[tex]\frac{2+6}{4-2}\text{ =}\frac{8}{2}\text{ = 4}[/tex]Radius of the Earth =6.3781 x 10^6Radius of a Lacrosse Ball = 3 x 10^-2How many times greater is the radius of Earth is than the radius of a lacrosse ball. Show/Explain your answer
Given:
[tex]\begin{gathered} \text{ Radius of the Earth }=6.3781\times10^6 \\ \\ \text{ Radius of a Lacrosse Ball }=3\times10^{-2} \end{gathered}[/tex]Find-:
How many times greater is the radius of Earth is than the radius of a lacrosse ball
Explanation-:
Let x times grater then lacrosse ball
so,
[tex]\begin{gathered} 6.3781\times10^6=x\times3\times10^{-2} \\ \end{gathered}[/tex][tex]\begin{gathered} x=\frac{6.3781\times10^6}{3\times10^{-2}} \\ \\ x=\frac{6.3781\times10^6\times10^2}{3} \\ \\ x=\frac{6.3781\times10^8}{3} \\ \\ x=2.126\times10^8 \end{gathered}[/tex]So the radius of Earth is 2.16 10 to the power 8 times greater than then radius of a lacrosse ball
Ira Patton purchased a home and
obtained a 15-year loan of $219,990 at an annual
interest rate of 8.7%. Find the amount of interest paid
on the loan over the 15 years.
Show work
The amount of interest Ira Patton paid on the loan over the 15 years is $174,605.31.
How is the interest amount determined?The interest amount is computed using an online finance calculator with the following set of parameters.
The interest shows the finance costs that Patton bears for taking the mortgage loan over 15 years.
The interest amount includes the time value of money and the financial loss due to inflation.
N (# of periods ) = 180 months (15 years x 12)
I/Y (Interest per year) = 8.7%
PV (Present Value) = $219,990
FV (Future Value) = $0
Results:
PMT = $2,192.20
Sum of all periodic payments = $394,595.31
Total Interest = $174,605.31
Thus, at the end of 15 years, Patton must have paid $174,605.31 interest.
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Which expression gives the length of AB if the circumference of the circle is38 cm?145B145A.38B.360145· 387c.36038D.145360387
Remember that the formula for the length of the arc is:
[tex]2\pi r\cdot\frac{\theta}{360}[/tex]Notice that
[tex]2\pi r[/tex]is the formula for the circumference of the circle.
Using this and the data given, we'll have:
[tex]2\pi r\cdot\frac{\theta}{360}\rightarrow38\cdot\frac{145}{360}[/tex]Or
[tex]\frac{145}{360}\cdot38[/tex]Therefore, the correct answer is Option A
Find the domain and the range help please.
Answer:
Domain: [tex]-5 < x\leq 6[/tex]
Range: [tex]-5 < y\leq 2[/tex] and [tex]y=3[/tex]
Step-by-step explanation:
The domain does not include negative five because it is an open dot at (-5,-5)
The domain includes -2 even though their is an open dot because their is one closed dot at (-2, -2) as well.
The domain includes 3 because there is a closed dot at point (3,2)
The range does not include negative five because it is an open dot at (-5,-5).
Range does not include anything between [tex]2\leq x\leq 3[/tex] because there is nothing there.
Finally we include y=3 because the is a horizontal line where y=3.
The Phil price of an item is 4/5 the original price of the item is X.Which statement explains why both for 4/5 and 0.8x can find the sale price of the item?1. multiplying by 5/4 os the same as multiplying by 0.82. Multiply by 4/5 is the same as multiplying by 80%3. The fraction 4/5 is the same as a decimal 0.2, therefore, 4/5x can be written is 0.2x4. Expressions are not equivalent
We are given that the price of an item is 4/5 , meaning itis 4/5x , this is the same expression as in 4/5 x = 0.8x
Because 4/5 in decimal form is 0.8
So the correct option would be option 2.
Multiplying 4/5 is the same as multiplying by 0.8
Which of the following functions shows the quadratic parent function,F(x) = x?, horizontally stretched?
The parent function is,
[tex]F(x)=x^2[/tex]The graph is stretched horizontally when x is replaced by kx where k is less than 1.
Thus, option (B) is the correct solution as x is replaced by x/2 in the F(x) to get G(x).
The red curve represents F(x) and the blue one represents G(x).
How much thread is left on the spool in meters
Given:
The total 5 yards of thread on the spool.
Convert yard into meters.
[tex]1\text{ yard}\approx0.9144\text{ meters}[/tex]For 5 yards to meters is,
[tex]\begin{gathered} 5\text{ yards}\approx\text{5}\times0.9144\text{ meters} \\ \approx4.572\text{ meters} \end{gathered}[/tex]Allison uses 3.5 meters of the thread, the thread remains is,
[tex]4.572-3.5=1.072[/tex]Answer: The thread left will be approximately 1.072 meters.
Your neighborhood movie theater has a 25-foot-high screen located 8 feetabove your eye level. If you sit too close to the screen, your viewing angle is toosmall, resulting in a distorted picture. By contrast if you sit too far back, theimage is quite small, diminishing the movie's visual impact. If you sit & feet backfrom the screen, your viewing angle is given by0 = tan-1 33-tan-11) Choose a value for ærepresenting how far back you want to sit in feet and usethe formula above to calculate the viewing angle 8 for that distance. Make sureyour calculator is in radian mode.2) Go to Movie Theater Mewing Angle and compare your choice of distance tothe optimal choice of distance. How close or far are you to the optimal(maximum) viewing angle?3) What is your viewing angle in degrees? (convert your angle to the nearesttenth)
1. We are given that the angle is determined by the formula
[tex]\theta=tan^{\text{ - 1}}(\frac{33}{x})-tan^{\text{ -1 }}(\frac{8}{x})[/tex]lets say we want to sit at x = 25 feet. So if we replace x with 25 and we plug it in our equation, using a calculator in radians we get
[tex]\theta=tan^{\text{ -1}}(\frac{33}{25})-tan^{\text{ -1}}(\frac{8}{25})\text{ = }0.61276\text{ radians}[/tex]3. To transform one angle that is in radians, to degrees, we must mutiply by 180° and divide by pi radians. So, in our case we get
[tex]\theta\text{ = 0. 61276}\cdot\frac{180}{\pi}\text{ = }35.1086\text{ degrees}[/tex]A recipe for 1 loaf of bread calls for 3 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt. The recipe can be scaled up to make multiple loaves of bread. Complete the table that shows the numbers to use for multiple loaves of bread.
We have to apply the rule of three to solve this.
We will use the equivalencies of the first row to complete the others.
The cups of flour needed are 3 cups/loaf.
The water needed is 12 tablespoons/loaf.
The salt needed 1 teaspoon/loaf.
With these equivalencies we can calculate the ingredients needed for any number of loaves:
[tex]\begin{gathered} \text{Number of loaves}=2,\text{ then} \\ \text{Cups of flour}=2\text{ loaves}\cdot\frac{3\text{ cups}}{\text{ loaf}}=6\text{ cups} \\ \text{Water}=2\text{ loaves}\cdot\frac{12\text{ tablespoons}}{\text{ loaf}}=24\text{ tablespoons} \\ \text{Salt}=2\text{ loaves}\cdot\frac{1\text{ teaspoon}}{\text{ loaf}}=2\text{ teaspoons} \end{gathered}[/tex]Write the equation of a line through (1,2), parallel to y=4x+1O y=-4x-2O y=-2x+5O y=4x-2O y=5x-2
The slope of the line y = 4x + 1 is 4 because is the number beside the x.
Then, the equation of a line through (1,2) needs to have the same slope.
So, we can calculate the equation using the following equation:
[tex]y-y_1=m(x-x_1)[/tex]Where m is the slope and (x1, y1) is a point in the line.
Replacing m by 4 and (x1, y1) by (1, 2), we get:
[tex]\begin{gathered} y-2=4(x-1) \\ y-2=4x-4 \\ y-2+2=4x-4+2 \\ y=4x-2 \end{gathered}[/tex]Answer: y = 4x - 2
Applications Involving Rational Equations Create an equation that represents each scenario. Then use that equation to solve the given problem. A school library spends $80 on magazines. The average price for magazines bought in January was 70 cents more than the average price in December. Because lof the price increase, the school library was forced to subscribe to 7 fewer magazines. How many magazines did the school library subscribe to in December?
The amount spent on magazine = $80
Average price for a magazine in December = x ------Let this be the price in Dec.
Average price for a magazine in January = ${x + 0.70}
The effect of price increase = 7 fewer magazines
Let the number of magazines in December be :------y
So the number of magazines in january = y-7
An expression for total amount spent will be:
x
Given function f(x) = x^3 + 2x, find value of x = c that satisfies Mean-Value Theorem on the interval [- 1,1].
Answer:
The solution is:
[tex]\begin{equation*} x=\pm\frac{\sqrt{3}}{3} \end{equation*}[/tex]Step-by-step explanation:
First, we'll calculate the function's average rate of change over [-1,1] as following:
[tex]\begin{gathered} \frac{f(-1)-f(1)}{-1-1}=-\frac{f(-1)-f(1)}{2}=-\frac{-3-3}{2}=\frac{6}{2}=3 \\ \end{gathered}[/tex]Now, we make f'(x) = 3 and solve for x, as following:
[tex]\begin{gathered} f^{\prime}(x)=3x{}^2+2=3 \\ \\ \rightarrow3x^2=1\rightarrow x^2=\frac{1}{3}\rightarrow x=\pm\frac{1}{\sqrt{3}} \\ \\ \Rightarrow x=\pm\frac{\sqrt{3}}{3} \\ \end{gathered}[/tex]Therefore, we can conlcude that the solution is:
[tex]\begin{equation*} x=\pm\frac{\sqrt{3}}{3} \end{equation*}[/tex]in a random sample of 900 B.Admin students 225 said that they wanted to become Statisticians. Assume the population of B. Admin students are normally distributed. Calculate the expected value of the population proportion estimator.
Answer: 0.25
Explanation:
The formula for calculating the population proportion is expressed as
p' = x/n
where
number of trials
number of success
From the information given,
x = 900
n = 225
Thus,
p' = 225/900
p' = 0.25
the expected value of the population proportion estimator is 0.25
Find, in radical form, the distance between (2, 1) and (-1,3).
You have the following two points:
(2,1)
(-1,3)
In order to determine what is the distance between the previous points, you use the following formula:
[tex]d=\sqrt[]{(x_1-x_2)^2-(y_1-y_2_{}^{})^2}[/tex]where (x1,y1) and (x2,y2) are the points with a distance between them of d.
You use the given points to replace them into the formula for d:
[tex]\begin{gathered} d=\sqrt[]{(1-3)^2-(2-(-1))^2} \\ d=\sqrt[]{(-2)^2+(3)^2} \\ d=\sqrt[]{4+9} \\ d=\sqrt[]{13} \end{gathered}[/tex]hence, the distance between the given points is √13
Solve the question give your rounded answer to the correct number of significant figures
The formula to calculate the volume of the brick is given to be:
[tex]V=l\times w\times h[/tex]We have the following dimensions, converted to meters, as follows:
[tex]\begin{gathered} l=\frac{110}{100}\text{ }cm=1.1\text{ }m \\ w=\frac{655}{100}\text{ }cm=6.55\text{ }m \\ h=\frac{1330}{100}\text{ }cm=13.3\text{ }m \end{gathered}[/tex]Therefore, the volume is:
[tex]\begin{gathered} V=1.1\times6.55\times13.3 \\ V=95.8\text{ }m^3 \end{gathered}[/tex]Translate this sentence into an equationThe product of 6 and Carlos age is 90Use a variable C to represent Carlos age
Let c be Carlo´s age, then the given statement can be written as follows in algebraic notation:
[tex]6\times c=90.[/tex]Answer:
[tex]6\times c=90.[/tex]Question Use set-builder notation to describe the set of all odd integers. Select the correct answer below: O {n|2n +1 €Z} O {2n | neZ}O {2n +1 | * € Z} O {2n +1 ne Z}
First let's define how to write the odd intergers:
When you have an odd it menas you have the result of a number multiply by 2 (or a even number) +1, so, if you need to express the odds you have:
2n+1
Now the ingergers are represented by the Z
Then so, the set of all odd integers is:
[tex]2n+1\in Z[/tex]where
∈ means belongs
Z means intergers
n is the n- umpteenth term.
if you have a set of data pairs that show the amount of rain for each month of the year, what type of graph would you use?
Solution
Question: Which type of graph would you use to compare the amount of rainfall each month for one year.
Answer: Line Graph
i.e Bar graph , Histogram, etc
the point between p and k that is four times as far from p as it is k
Equations
Let's call
x = distance of the required point to the point P
The distance from P to K is 5 - (-2) = 7. This means the distance from the required point to K is (7 - x).
Our point is located 4 times as far from P than from K, thus:
4(7 - x) = x
Operating:
28 - 4x = x
Adding 4x:
28 = 5x
Dividing by 5:
x = 28/5 = 5.6
The required point is located at -2 + 5.6 = 3.6
Checking the distances:
3.6 - (-2) = 5.6
7 - 5.6 = 1.4
It can be verified that 5.6 is four times 1.4, thus
x = 5.6
There are 650 students at a high school who are eligible
to vote. 195 of the students voted in the last election.
What percent of the eligible students voted?
Mark only one oval.
30%
35%
25%
40%
30% of the eligible students voted.
It is given to us that 650 students at the high school are eligible to vote and 195 of them voted in the last election.
Now let us take the percent of students to be 'x'
x% of 650 students voted whose value is given to be 195.
So the equation can be written as
( x / 100 ) * 650 = 195
x = ( 195 * 100 ) / 650
x = 30
Therefore 30% of the eligible students voted in the last election.
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