The number which is farther right on the number line would be 2 as it is greater than -2.
What is inequality?In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.
Given is an inequality as follows -
- 2 < 2
We have -
- 2 < 2
Now, the number which is farther right on the number line would be 2. Here, 2 appears farther right because 2 is greater than -2. In a number line, numbers are marked from -2 to 2, from left to right. So, - 2 will be farther right on the number line.
Therefore, the number which is farther right on the number line would be 2 as it is greater than -2.
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Mary has some boxes that are all cubes of the same size she uses 5 of the boxes to make a tower with a hight oh 115cm she puts 2 more on the pile what is the hight of the 7 box tower.now? give your answers in centimetres
The height of the 7 box tower is 161 centimeter.
Given,
The number of boxes Mary used to make a tower = 5
The height of the tower = 115 cm
Number of boxes Mary puts again on the pile = 2
We have to find the height of the new tower.
Here,
Height of one box = Height of tower / number of boxes used
= 115/5
= 23 cm
Height of one box is 23 cm.
Height of new tower = height of old tower + (number of boxes added × height of one box)
= 115 + (2 × 23)
= 115 + 46
= 161
Therefore,
The height of the 7 box tower is 161 centimeter.
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answer choices for the first one:reflected across the y-axisreflected across the line y=xrotated 180 degrees about the originanswer choices for the second one:reflected across the x-axistranslated 3 units downrotated 90 degrees counterclockwise about the originanswer choices for the third one:both rigidnot both rigidanswer choices for the last one:congruentnot congruent
The first transformation can be:
- Reflected across the y-axis: seeing in the graph, the y-axis is not a reflection axis.
- Reflected across the line y=x: it could be, but it is not reflected, as the points are not equally distance and perpendicular to the line y=x, as if they were reflected.
(we can conclude looking at both triangles that there is not reflection, but a rotation).
- Rotated 180 degrees about the origin: this is the right answer. We can draw a line between each point and the origin, and if it is rotated 180 degrees, we get the transformed point.
Answer first one: Rotated 180 degrees about the origin.
The second transformation can be:
- Reflected across the x-axis: not right. The triangle is not reflected but translated.
- Translated 3 units down: This is the right answer. The triangle is translated.
- Rotated 90 degrees counterclockwise about the origin: The triangle is not rotated.
Answer second one: Translated 3 units down.
Third and fourth options.
As the triangles are not scaled, the transformations are both rigid and the resulting triangles are congruent (equal angles and sides).
Denise found a job listed in the classified section that pays a yearly salary of $51K.What is the weekly salary based on this annual salary?
The yearly salary is $51k
1 year = 12 months
The slary for 12 months = $51k
Since,
1 year = 52 weeks
That means
Salary of Denise in 52 weeks = $51k
Now to find the salary of denise in one week, we divide the total salary in 52 weeks by the number of weeks
[tex]\begin{gathered} \text{ Salary of Denise in One w}eek\text{ =}\frac{Salary\text{ in 52 w}eeks}{Total\text{ number of w}eeks} \\ \text{Salary of Denise in One w}eek\text{ =}\frac{51}{52} \\ \text{Salary of Denise in One w}eek\text{ =0.980K Dollars} \end{gathered}[/tex]So, the salary of Denise on weekly based is $0.980 K
Part 1 of 4Suppose the data represent the inches rainfall in April for a certain city over the course of 20 yearsGiven the quartiles Q1= 1.970, Q=3.380, and Q3 = 4.770, determine the lower and upper fences. Are there any outliers, according to this criterion?0.330.771.251.541.822.122.452.883.053.233.533.844.064.534.684.865.225.435.816.27
For this problem, we were given a certain dataset, as well as the quartiles Q1, Q, and Q3. From this information, we need to determine the lower and upper fences.
The fences are given by:
[tex]\begin{gathered} \text{lower}=Q_1-(1.5)\cdot\text{IQR} \\ \text{upper}=Q_3+(1.5)\cdot\text{IQR} \end{gathered}[/tex]Therefore, we need to calculate the value of the IQR, which is the subtraction between Q3 and Q1.
[tex]\begin{gathered} \text{IQR}=Q_3-Q_1=4.77-1.97 \\ \text{IQR}=2.8 \end{gathered}[/tex]With this, we have all the data to determine the lower and upper fences. The calculations are shown below:
[tex]\begin{gathered} \text{lower}=1.97-(1.5)\cdot2.8 \\ \text{lower}=-2.23 \\ \text{upper}=4.77+\cdot(1.5)\cdot2.8 \\ \text{upper}=8.97 \end{gathered}[/tex]Since there aren't any values that are lower than the lower fence or higher than the upper fence, we don't have any outlier on this data.
Try it
Use the graph and table to write the equation that
describes the line graphed.
5
y
X
4.
1
3
-2
N
2
2
-1
الم
3
0
3
4
5
4
-5
-3 2-1
- 1
5
-2
2
-3
4
The equation of the line is
y = x + 1
y=-x+1
y = -x +3
y = x + 3
Done
Given:
Find-:
Equation of a line.
Sol:
General equation of a line.
[tex]y=mx+c[/tex]Where,
[tex]\begin{gathered} m=\text{ slope} \\ \\ m=\frac{x_2-x_1}{y_2-y_1} \\ \\ c=\text{ y-intercept.} \end{gathered}[/tex]Choose any two-point then:
[tex]\begin{gathered} (-2,1)=(x_1,y_1) \\ \\ (-1,2)=(x_2,y_2) \end{gathered}[/tex]So the slope of the line is:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ m=\frac{2-1}{-1-(-2)} \\ \\ m=\frac{1}{-1+2} \\ \\ m=1 \end{gathered}[/tex]So the equation become:
[tex]\begin{gathered} y=mx+c \\ \\ y=(1)x+c \\ \\ y=x+c \end{gathered}[/tex]So y-intercept is:
[tex]\begin{gathered} (x,y)=(-2,1) \\ \\ y=x+c \\ \\ 1=-2+c \\ \\ c=1+2 \\ \\ c=3 \end{gathered}[/tex]So final equation of a line:
[tex]\begin{gathered} y=mx+c \\ \\ m=1 \\ \\ c=3 \\ \\ y=x+3 \end{gathered}[/tex]Equation of line is y = x + 3
I need help filling in the blanks in the problem I appreciate it.
The formula for calculating binomial probability is expressed as
P(x) = nCx * p^x * q^(n - x)
where
n represents number of trials
p represents probability of success
q represents probability of failure
x represents number of successes
From the information given,
n = 5
p = 0.479
q = 1 - p = 1 - 0.479 = 0.521
For x = k = 0,
P(x = k = 0) = 5C0 * 0.479^0 * 0.521^(5 - 0)
P(x = k = 0) = 0.0384
For x = k = 1,
P(x = k = 1) = 5C1 * 0.479^1 * 0.521^(5 - 1)
P(x = k = 1) = 0.1765
For x = k = 2,
P(x = k = 2) = 5C2 * 0.479^2 * 0.521^(5 - 2)
P(x = k = 2) = 0.3245
For x = k = 3,
P(x = k = 3) = 5C3 * 0.479^3 * 0.521^(5 - 3)
P(x = k = 3) = 0.2983
For x = k = 4,
P(x = k = 4) = 5C4 * 0.479^4 * 0.521^(5 - 4)
P(x = k = 4) = 0.1371
For x = k = 5,
P(x = k = 5) = 5C5 * 0.479^5 * 0.521^(5 - 5)
P(x = k = 5) = 0.0252
Sophie says, "To find 8 X 8, I can find 8 X (4 + 4)."Do you agree? Explain.3rd grade subject
Step 1
Given:
[tex]8\times8[/tex]Required:
[tex]\begin{gathered} To\text{ agre}e\text{ that if I can find 8}\times(4+4)_{} \\ \text{then I can find 8}\times8 \end{gathered}[/tex]Step 2
Find out if you agree or disagree
[tex]\begin{gathered} 8\times(4+4) \\ =\text{ (8}\times4)+(8\times4) \\ =\text{ 32 + 32 = 64} \\ or \\ 8\times(4+4) \\ \text{But (4+4) = 8} \\ \end{gathered}[/tex][tex]\begin{gathered} \text{Therefore,} \\ 8\times(4+4)\text{ = 8}\times8 \\ \text{Therefore, To find 8}\times8,\text{ I can find 8 }\times(4+4) \end{gathered}[/tex]Hence, I agree.
The penny size of a nail indicates the length of the nail. The penny size d is given by the literal equation d=4n-2, where n is the length (in inches) of the nail.A) Solve the equation for n.B) use the equation from part a) to find the length of nails with the following penny sizes: 3, 6, and 10.
Given: The penny size d is given by the equation
[tex]d=4n-2[/tex]where n is the length of the nail.
Required: a) To solve the equation for n
b) To use the equation to find out the length of the nail with the following penny sizes: 3, 6, and 10.
Explanation: The given equation can be solved for n as follows
[tex]\begin{gathered} d-4n=-2 \\ -4n=-2-d \\ 4n=2+d \\ n=\frac{2+d}{4} \end{gathered}[/tex]Now putting the value of d=3 we get
[tex]\begin{gathered} n=\frac{2+3}{4} \\ n=\frac{5}{4} \end{gathered}[/tex]Again putting d=6 we get
[tex]n=\frac{2+6}{4}[/tex][tex]\begin{gathered} n=\frac{8}{4} \\ n=2 \end{gathered}[/tex]Finally putting d=10 we get
[tex]\begin{gathered} n=\frac{2+10}{4} \\ n=3 \end{gathered}[/tex]Final Answer: a) The equation for n is
[tex]n=\frac{2+d}{4}[/tex]b) The length of the nail with penny sizes 3,6, and 10 is 5/4, 2, and 3 respectively.
3 State if the two triangles are congruent or not congruent. If they are congruent, state the theorem (one of the five) that proves they are congruent. Show Your Work
First we are going to mention the postulate. It is going to be the SAS theorem.
As we can see in the image both triangles share one side, and since it is a parallelogram the hypotenuse is equal for both. So, we have 2 equal sides. And we can see each triangle has one right angle. So , the conditions of the SAS theorem are fulfilled.
Consider a sequence defined by the recursive rule f(1) = 15, f(n) = f(n - 1) - 6. What is the third term of the sequence?
According to the problem, the recursive rule is
[tex]\begin{gathered} f(1)=15 \\ f(n)=f(n-1)-6 \end{gathered}[/tex]This means the first term of the sequence is 15.
So, for n = 2, we have
[tex]f(2)=f(2-1)-6=f(1)-6[/tex]But, we know that f(1) = 15, so
[tex]f(2)=15-6=9[/tex]The second term is 9.
For n = 3.
[tex]f(3)=f(3-1)-6=f(2)-6[/tex]But, we know that f(2)=9, so
[tex]f(3)=9-6=3[/tex]Therefore, the third term is 3.Mitch has already run 16 miles on his own, and he expects to run 1 mile during each track practice. How many track practices would it take for Mitch to run 23 miles?practices.
If he expects to run 1 mile during each track practice, the ratio of speed would be 1 mile per track. Knowing this, we just have to divide to find the answer.
[tex]\frac{23}{1}=23[/tex]Therefore, Mitch has to take 23 track practices.The ratio of the height to the base of a skateboard kicker ramp must be 4:1 chose all that apply
We are given various skateboard kicker ramp with different height and base
For the first triangle,
The heigth = 3 ft
Base = 12 ft
The ratio of height to base = 3/12
= 1 : 4..
Second figure,
The height = 1 ft
Base = 1.5 ft
[tex]\begin{gathered} \text{Ratio of height to base = }\frac{6}{1.5} \\ 1.5\text{ = }\frac{3}{2} \\ \text{Ratio = }\frac{6}{\frac{3}{2}} \\ \text{Ratio = }\frac{6\text{ x 2}}{3} \\ \text{Ratio = }\frac{12}{3} \\ \text{Ratio = }4\text{ : 1} \end{gathered}[/tex]Only the first figure and the second figure will give you 4 : 1 as the ratio of hei
How much salsa is missing from the can below? Hint: You may need to subtract the heights. 5 cm for 10 cm
Answer
Amount of salsa missing = 471.3 cm³
Explanation
The volume of a cylinder is given as
Volume = πr²h
π = 3.142
For the missing salsa,
r = radius of the cylinder = 5 cm
h = height of the missing salsa = 10 - 4 = 6 cm
Volume = πr²h
Volume = (3.142) (5²) (6) = 471.3 cm³
Hope this Helps!!!
just need to answers to double check my work :)
Bank account 1: $3000 (5% interest)
Bank account 2: $7000 (4% interest)
At the end of 1 year, the interests are:
Bank 1: 5% of $3000 = 5*3000/100
Interest 1 = $150
Bank 2: 4% of $7000 = 4*7000/100
Interest 2 = $280
The total interest is: Total = Interest 1 + Interest 2 = 150 + 280
Total = $430
The total deposited is $3000 + $7000 = $10 000
If the total interest is $430, then the percent is:
430*100/10 000 = 4.3%
Find the common difference of the arithmetic sequence 25, 31, 37, 43,OA. 8B.-6OC. 6D.-5Reset Selection
Given
The Arithmetic sequence,
25, 31, 37, 43.
To find:
The commen difference of the arithmetic sequence.
Explanation:
It is given that,
The Arithmetic sequence,
25, 31, 37, 43.
That implies,
[tex]\begin{gathered} Common\text{ }difference=31-25 \\ =6 \end{gathered}[/tex]Hence, the common difference is 6.
determine how many miles from the terminal the two types of pipe should meet so that the total cost is minimized
ANSWER:
24 miles
STEP-BY-STEP EXPLANATION:
The first thing is to make a graph of the situation, like this:
Therefore, the function of total cost will be:
[tex]C(x)=143000\cdot\sqrt[]{x^2+12^2}+55000\cdot(29-x)[/tex]To minimize we must calculate the derivative of the function, like this:
[tex]\begin{gathered} C^{\prime}(x)=\frac{d}{dx}143000\cdot\sqrt[]{x^2+12^2}+55000\cdot(29-x) \\ C^{\prime}(x)=\frac{143000d}{\sqrt[]{x^2+144}}-55000 \end{gathered}[/tex]Now we set the derivative equal to 0 and solve for d, like this:
[tex]\begin{gathered} \frac{143000d}{\sqrt[]{x^2+144}}=55000 \\ 143000x=55000\sqrt[]{x^2+144} \\ 143^2x^2=55^2\cdot(x^2+144) \\ 20449x^2=3025x^2+435600 \\ 20449x^2-3025x^2=435600 \\ 17424x^2=435600 \\ x^2=\frac{435600}{17424} \\ x=\sqrt[]{25} \\ x=5 \end{gathered}[/tex]Distance from terminal the two types of pipe meet is 29 - x, therefore would be:
[tex]\begin{gathered} d=29-5 \\ d=24\text{ miles} \end{gathered}[/tex]Jack is 15 ft tall and produces a shadow 10 ft long is being stalked produces a shadow a hundred feet long how tall is jack beanstalk??
Let the height of the beanstalk be h
from the diagram,
[tex]\begin{gathered} \tan \text{ }\theta=\frac{15}{10}=\text{ 1.5} \\ \theta=\text{ }\tan ^{-1}1.5=56.3^0 \end{gathered}[/tex]Also,
[tex]\begin{gathered} \tan \text{ }\theta=\frac{h}{100} \\ 1.5=\frac{h}{100} \\ h=1.5\text{ x 100} \\ h=150\text{ ft} \end{gathered}[/tex]1. a/6 = 15/2 2. 10/7 = 8/kuse the cross property to solve the proportion for both problems
3.Joe solved the equation and justified each step as shown. Identify Joe’s error and fix his mistake.StepJustification Given equation Multiplication Property of Equalityx = 14Subtraction Property of Equality
His first step should be subtracting 3 from both sides of the equation(Subtraction property of equality).
[tex]\begin{gathered} 3-3+\frac{x}{2}=10-3 \\ \frac{x}{2}=7 \end{gathered}[/tex]The multiplication property of equality states that when we multiply both sides of an equation by the same number, the 2 sides remain the same.
The next step is the Multiplication property of equality
[tex]\begin{gathered} \frac{x}{2}\times2=7\times2 \\ x=14 \end{gathered}[/tex]His error is that the Multiplication Property of equality came before the Subtraction property of equality. The subtraction property of equality should come first.
4x+8+6x-5=33solve the equation.
Solve the equation;
[tex]\begin{gathered} 4x+8+6x-5=33 \\ \text{Collect like terms and you have;} \\ 4x+6x+8-5=33 \\ 10x+3=33 \\ \text{Subtract 3 from both sides} \\ 10x+3-3=33-3 \\ 10x=30 \\ \text{Divide both sides by 10} \\ \frac{10x}{10}=\frac{30}{10} \\ x=3 \end{gathered}[/tex]The solution is, x = 3
B ( a little 3 on the top) - 2ac + d (a little two on the top) evaluate this polynomial if a=2,b= -3,c= 4 and d = -5.
b³ - 2ac + d²
a = 2
b = -3
c = 4
d = -5
In order to evaluate the given polynomial, we need to replace each letter by its corresponding value:
b³ - 2ac + d²
(-3)³ - 2 * 2 * 4 + (-5)²
(-3) * (-3) * (-3) - 4 * 4 + (-5) * (-5)
9 * (-3) - 16 + 25 , because the product of two negative numbers equals a positive number
-27 - 16 + 25
-27 + 9
-18
8select all correct answers what is 9,150, 000, 000, 000, 000, 000 Express in scientific notation
the numbers should be
[tex]9.15\times10^{18}[/tex]or
[tex]9.15E18[/tex]because you move the point 18 places to obtain 9.15(the dot is initially at the end of the number)
Question 1 (1 point)RATEY is a way of graphing rational functions.TrueFalse
Given the following question:
The given statement is indeed true. RATEY is a way to graph rational functions and is often referred to as a graph organizer which you factor the numerator and the denminator should be c
How wide is a rectangular strip of land with length 1 1/2 kilometers and area 3/4 square kilometers?
Answer: The wideness of the rectangular strip of land is 1/2 km
The length of the rectangular strip = 1 1/2 kilometers
The area of the rectangular strip = 3/4 square kilometers
Area of a rectangle = Length x width
Let the width of the rectangular strip = x
[tex]\begin{gathered} \text{Length = 1}\frac{1}{2}\text{ km} \\ \text{Convert the length to an improper fraction} \\ \frac{(1\text{ x 2) + 1}}{2} \\ \frac{2\text{ + 1}}{2} \\ \frac{3}{2}\text{ km} \\ \text{ Since, area = 3/4 } \\ \frac{3}{4}\text{ = }\frac{3}{2}\cdot\text{ x} \\ \frac{3}{4}\text{ =}\frac{3x}{2} \\ \text{Cross multiply} \\ 3\text{ x 2 = 3x }\cdot\text{ 4} \\ 6\text{ = 12x} \\ \text{Divide both sides by 12} \\ \frac{12x}{12}\text{ = }\frac{6}{2} \\ x\text{ = }\frac{1}{2}\text{ kilometer} \end{gathered}[/tex]The widenes of the rectangular strip is 1/2 km
Bill buys a weekly bus pass for $20 it cost Bill $2.75 each way to ride the bus from home to work and back Bill rides the bus 5 days a week how much money does he save with the weekly pass $5 $7.50 or $10
If he walks 5days a week, then ride to and fro is equal to 10
If it cost him $2.75 each way to ride from home to work and back,
Then; The cost for ride in a week = 10 x $2.75 = $27.5
The amount save with the weekly pass = $27.5 - $20 = $7.50
Hence he saved $7.50 with the weekly pass
The diameter of a circle is 20 inches. What is the area?Give the exact answer in simplest form.___ square inches.
Answer
Area = 314 square inches
Explanation
The area of a circle is given as
Area = πr²
π = pi = 3.14
r = radius of the circle = ½ (Diameter) = ½ (20) = 10 inches
Area = πr²
Area = 3.14 × (10²)
Area = 314 square inches
Hope this Helps!!!
Can you help me draw the loci fitting this description? A circle that is concentric to the given circle and that has a radius that is d units longer than that of the given circle.
In the previous image you can identify two concentric circles. One of them has a radius that is d units longer that the radius of the smaller circle.
Translate the figure 7 units left and 5 units down.Plot all of the points of the translated figure.You may click a plotted point to delete it.12 35 6 7 8 9 10
Explanation:
This translation is:
[tex](x,y)\rightarrow(x-7,y-5)[/tex]In the graph we have 3 points. The points and their translations are:
[tex](1,6)\rightarrow(-6,1)[/tex][tex](8,9)\rightarrow(1,4)[/tex][tex](9,1)\rightarrow(2,-4)[/tex]Answer:
The original figure is in black and the image is in pink:
select the correct answer Brenda has a square shaped photo frame if the area of the square frame is 123 square inches which statement is true
Since the shape of the frame is a square we know that its area is given as:
[tex]A=l^2[/tex]where l is the length of each side, plugging the value of the area into the equation and solving for l we have:
[tex]\begin{gathered} 123=l^2 \\ l=\sqrt[]{123} \\ l\approx11.09 \end{gathered}[/tex]Therefore we notice that the length of the sides is between 11 and 12 inches, hence the answer is C.
Answer: The length of the photo frame is between the 11 inches and 12 inches.
Step-by-step explanation: 123 square root = 11.0905
4 movie tickets cost $30 5 concert tickets cost $36.50 does the movie or the concert cost less per ticket how much less
Solution;
[tex]\begin{gathered} 4\text{ movie tickets cost 30} \\ 1\text{ movie ticket=}\frac{30}{4} \\ 1\text{ movie ticket=\$7.50} \end{gathered}[/tex][tex]\begin{gathered} 5\text{ concert tickets cost 36.50} \\ 1\text{ cconcert ticket=}\frac{36.50}{5} \\ 1\text{ concert ticket=\$7.30} \end{gathered}[/tex]This means the concert ticket costs less per ticket and the difference is,
[tex]\begin{gathered} \text{Difference}=7.50-7.30 \\ \text{Difference}=0.20 \end{gathered}[/tex]The concert ticket costs $0.20 less than the movie ticket