\( { \frac{2}{3} }^{2} = \frac{4}{9} \)
Answer:
4/9
Step-by-step explanation:
= (2/3)^2
= (2x2/3x3)
= 4/9
The sales tax rate if 6.25%. The total cost of the items that were purchased at Walmart was $35.02. What is the total, including tax? (nearest cent)
Given the sales tax rate of 6.25% and the total cost of the items purchased at Walmart as $35.02, we can calculate the total cost including tax. To do this, we first need to find the tax amount on the purchase.
Tax amount = (Tax rate * Total cost of items) / 100
Tax amount = (6.25 * $35.02) / 100
Tax amount = $2.18875
Now, round the tax amount to the nearest cent:
Tax Amount ≈ $2.19
Next, add the tax amount to the total cost of the items to find the total cost including tax:
Total cost including tax = Total cost of items + Tax amount
Total cost including tax = $35.02 + $2.19
Total cost including tax ≈ $37.21
So, the total cost of the items purchased at Walmart, including the 6.25% sales tax, is approximately $37.21.
Learn more about tax here:
https://brainly.com/question/31851456
#SPJ11
Select the correct answer from each drop-down menu. Shape I is similar to shape II. The sequence that maps shape I onto shape II is a 180degree clockwise rotation about the origin, and then a dilation by a scale factor of (0.5; 1; 1.5 ; or 2)
Answer:
Scale factor 2.
Step-by-step explanation:
The vertices of shape I are (2,1), (3,1), (4,3), (3,3), (3,2), (2,2), (2,3), (1,3).
The vertices of shape II are (-4,-2), (-6,-2), (-8,-6), (-6,-6), (-6,-4), (-4,-4), (-4,-6), (-2,-6).
Consider shape I is similar to shape II. The sequence that maps shape I onto shape II is a 180 degree clockwise rotation about the origin, and then a dilation by a scale factor of k.
Rule of 180 degree clockwise rotation about the origin:
\((x,y)\rightarrow (-x,-y)\)
The vertices of shape I after rotation are (-2,-1), (-3,-1), (-4,-3), (-3,-3), (-3,-2), (-2,-2), (-2,-3), (-1,-3).
Rule of dilation by a scale factor of k.
\((x,y)\rightarrow (kx,ky)\)
So,
\((-2,-1)\rightarrow (k(-2),k(-1))=(-2k,-k)\)
We know that, the image of (-2,-1) after dilation is (-4,-2). So,
\((-2k,-k)=(-4,-2)\)
On comparing both sides, we get
\(-2k=-4\)
\(k=2\)
Therefore, the scale factor is 2.
Answer:
180 clockwise rotation about the orgin, 2
Step-by-step explanation:
There were 9 pieces of paper. Some of them were cut into 3 pieces. As a result, there
are now 15 pieces of paper. How many pieces of paper were cut?
6=3
6÷3
2 is the required answer for this question
PLEASE HELP ASAP, MARKING BRAINLIEST!!!
A walking path around the outside of the garden is shaped like a triangle. Two sides of the past that measure 32 ft and 39 feet form a 70 degree angle. If you walk around the entire path one time, how far have you walked?
Temperature is an example of a variable that uses (select one):
1. the ordinal scale
2. the interval scale
3. either ordinal or ratio scale
4. the ratio scale
Temperature is a variable that uses (2) the scale interval and, according to physical theory, represents in the numerical form how hot or cold something is.
What is Temperature?The physical concept of temperature indicates in numerical form how hot or cold something is.
A thermometer is used to determine temperature.
One variable that makes use of the scale interval is temperature.
Thermometers are calibrated using a variety of temperature scales, which historically defined distinct reference points and thermometric substances.
The most popular scales are the Celsius scale, sometimes known as centigrade, with the unit symbol °C, the Fahrenheit scale (°F), and the Kelvin scale (K), with the latter being mostly used for scientific purposes.
One of the seven base units in the International System of Units is the kelvin (SI). The lowest point on the thermodynamic temperature scale is absolute zero, or zero Kelvin, or 273.15 °C.
Therefore, the temperature is a variable that uses (2) the scale interval and, according to physical theory, represents in the numerical form how hot or cold something is.
Know more about Temperature here:
https://brainly.com/question/24746268
#SPJ4
1. You have a CD account at local bank. Your opening
balance is $9000. The compound interest rate that bank is
paying you 0.70% annually.
A) What is the interest earned after 6 years?
Answer:
$378
Step-by-step explanation:
(9000 x 0.70%) * 6 = 378
I need help.. evaluate the expression. Write the answer in simplest form
Answer:
Please check your question again
I need some help with these 4 questions
Answer:
ok, but where are the four questions?
Answer:
Hey mate.....
Step-by-step explanation:
Which questions are you even talking about???????
Lol
You roll a six-sided die. What is the probability that it is an odd number or less than four? Round your answer to the nearest thousandth.
Answer:
Probability is calculated as # of favorable outcomes / # of possible outcomes.
Our favorable outcomes are 1, 2, 3, 4, 5.
There are 6 total outcomes.
5/6 = 0.833
Answer:
.667
Step-by-step explanation:
There are 3 possibilities for an odd number. 1,3 and 5
For a number less than four, there are also 3 possibilities, 1,2 and 3 (Since it's not four or less)
Counting the uniquue numbers which are not repeated, you have 1,2,3,5 so the odds are 4/6 of rolling an odd or less than four number.
Since it's asking to round, I assume we need to convert to a decimal.
Decimal: .667
Percentage: 66.667%
Both answers are rounded to the thousandth.
715,000___7.15 x 10^5
>
<
=
what is radical 72 b 19
Answer:
√72=2⋅3√2
Step-by-step explanation:
21 3/8 - 2 1/4. PLEASE TELL ME THE ANSWER
Answer:
19.125
Step-by-step explanation:
21.375-2.25=19.125
Answer:
19.125 in decimals
Step-by-step explanation:
21 3/8 - 2 1/4. =19.125
What are the coordinates of the point on the directed line segment from ( − 10 , 5 ) (−10,5) to ( 8 , 2 ) (8,2) that partitions the segment into a ratio of 1 to 2?
so hmmm say A(-10 , 5) , B(8 , 2) and the point that partitions them is point C.
\(\textit{internal division of a line segment using ratios} \\\\\\ A(-10,5)\qquad B(8,2)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(-10,5)=1(8,2)\)
\((\stackrel{x}{-20}~~,~~ \stackrel{y}{10})=(\stackrel{x}{8}~~,~~ \stackrel{y}{2}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-20 +8}}{1+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +2}}{1+2} \right)} \\\\\\ C=\left( \cfrac{ -12 }{ 3 }~~,~~\cfrac{ 12}{ 3 } \right)\implies \boxed{C=(-4~~,~~4)}\)
write the augmented matrix for the system. (b) reduce the augmented matrix to row-echelon form. (c) give the solution set of the system.
Answer:
B
Step-by-step explanation:
PLS HELP ME!!!!!! I REALLY NEED IT
Answer:
60% heavier
Step-by-step explanation:
show your work please :)
Step-by-step explanation:
yphñotdtowtkstlstoyosotstlstlstosupfhñznx$*□◇○}₩○¥■○♧■▪︎■♧○¥□•¥{•£{•£{{£•{¥{¥•£□•□£●£•●£$>£|•
A newborn weights 3,459 grams. There are 453.59 grams per pound. What is the infant's weight in pounds and ounces
The infant's weight is 7 pounds and 10 ounces using weight conversion.
To convert the weight of the newborn from grams to pounds, we need to divide the weight by the number of grams in one pound, which is 453.59. So, 3,459 grams divided by 453.59 grams per pound is equal to 7.628 pounds.
To find the weight in ounces, we need to multiply the decimal part of the pounds by 16 (since there are 16 ounces in one pound). So, 0.628 x 16 = 10.048 ounces.
Therefore, the infant's weight is 7 pounds and 10 ounces.
It is important to note that weight conversion is often used in the medical field to monitor the health and growth of newborns. By tracking their weight in pounds and ounces, doctors can ensure that they are gaining weight at a healthy rate and are meeting their developmental milestones.
This information can also be used to make adjustments to their feeding or treatment plans if necessary. It is crucial for healthcare professionals to accurately convert weight measurements to ensure the best possible care for their patients.
To learn more about weight conversion, refer here:
https://brainly.com/question/11429990#
#SPJ11
Write the equation of the line that is parallel to the line y=3x+7 and passes through the
point (-4,-14).
Answer:
y = 3x - 2
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope slopes.
The first line is y = 3x + 7. Its slope is 3. A line parallel to this one will also have a slope of 3.
Plug this value (3) into your standard point-slope equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, -14). Plug in the x and y values into the x and y of the standard equation.
-14 = 3(-4) + b
To find b, multiply the slope and the input of x (-4)
-14 = -12 + b
Now, add 12 to both sides to isolate b.
-2 = b
Plug this into your standard equation.
y = 3x - 2
This equation is parallel to your given equation (y = 3x + 7) and contains point (-4, -14)
Hope this helps!
Learn with another example:
https://brainly.com/question/27121082
which is the first step in simplifying the expression 2(x + 3) + 5?
A. 2x + 2(3) + 5
B. 2x + 3 + 5
C. 2 + x + 3 + 5
D. 2(5) + x + 3
write an equation for a degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and has a y-int at 5..
The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
How to define the polynomial?The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.
The zeros of the function, along with their multiplicities, are given as follows:
Zero at x = 3 with a multiplicity of 1.Zero at x = 2 with a multiplicity of 2.Zero at x = -1 with a multiplicity of 3.Then the linear factors of the function are given as follows:
(x - 3).(x - 2)².(x + 1)³.The function is then defined as:
y = a(x - 3)(x - 2)²(x + 1)³.
In which a is the leading coefficient.
When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:
5 = -12a
a = -5/12
Hence the polynomial is:
y = -5/12(x - 3)(x - 2)²(x + 1)³.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
according to the laffer curve, when the tax rate is 100 percent, tax revenue will be:
According to the Laffer Curve, when the tax rate is 100 percent, tax revenue will be zero.
This is because if the tax rate is 100 percent, then there is no incentive for individuals to work, invest, or engage in any economic activity since they will not be able to keep any of their earnings. As a result, the total tax base will be zero, and the government will not be able to collect any tax revenue.
On the other hand, if the tax rate is zero, tax revenue will also be zero since there will be no tax collected. Therefore, the Laffer Curve suggests that there is an optimal tax rate that maximizes tax revenue, and this rate is somewhere between 0 percent and 100 percent.
The exact rate at which tax revenue is maximized will depend on various factors, such as the elasticity of the tax base, the level of government spending, and the structure of the tax system.
The Laffer Curve is often used to argue for tax cuts, particularly for high-income earners, as a way to stimulate economic growth and increase tax revenue. However, the validity of the Laffer Curve has been the subject of debate among economists, and its actual shape and position are difficult to determine empirically.
To know more about laffer curve refer here:
https://brainly.com/question/30872667?#
SPJ11
PLEASE HELP!! DUE SAT!!!!
What is the measure of the unknown angle? (2 points)
Image of a full circle divided into two angles. One angle is fifty degrees and the other is unknown
a
300°
b
305°
c
310°
d
315°
The measure of the unknown angle in the full circle is calculated as: 310 degrees.
We have,
The angle measure of a full circle equals 360 degrees.
The full circle given is divided into two angles, of which 50 degrees is a measure of one of the angles.
we know that,
A circle is 360 degrees
50 +x = 360
x = 360-50
x = 310
The unknown angle = 360 - 50 = 310 degrees.
Hence, c.) 310° is the measure of the unknown angle.
Learn more about a full circle on:
brainly.com/question/16724928
#SPJ1
what is this answer
Answer:
a
Step-by-step explanation:
the unit rate is 10 whcih is higher then everyone elses
a party of fishermen rented a boat for $240. two of the fishermen had to withdraw from the party and, as a result, the share of each of the others was increased by $10. how many were in the original party? provide a numerical answer.
Answer:a party of fishermen rented a boat for $240. two of the fishermen had to withdraw from the party and, as a result, the share of each of the others was increased by $10. how many were in the original party? provide a numerical answer.
Step-by-step explanation:
Now ,Let original number in party be "x"::
Average cost per person = 240/x
New number in the party:: x-2
New Average cost per person:: 240/(x-2)
Equation::
10 dollars =New average - old average
240/(x-2) - 240/x = 10
240x - 240(x-2) = 10x(x-2)
480 = 10x^2-20x
x^2 - 2x - 48 = 0
X = 8 (ORIGINAL)
Any point on the parabola can be labeled (x,y), as shown. What are the distances from the point (x,y) to the focus of the parabola and the directrix? Select two answers.
distance to the focus: (x+3)2+(y−3)2−−−−−−−−−−−−−−−√
distance to the focus: (x−2)2+(y+3)2−−−−−−−−−−−−−−−√
distance to the focus: (x+3)2+(y−2)2−−−−−−−−−−−−−−−√
distance to the directrix: |x−4|
distance to the directrix: |y−4|
distance to the directrix: |y+4|
Answer:
Step-by-step explanation:
Standard form of the equation:
y = \(-\frac{1}{4} (x+3)^2+3\)
Directrix: y=4
Focus: (-3,2)
Points on the parabola (x,y):
(-5,2) (-3,3) (-1,2)
Distance from points to focus:
(-5,2) = (-3,2)
Answer choices: (x+3)^2+(y−3)^2, (x−2)2+(y+3)2, (x+3)2+(y−2)2
(-5+3)^2+(2-3)^2=5
(-5-2)^2+(2+3)^2=74
(-5+3)^2+(2-2)^2=4
(-1,2)
if
f(x)=4x2−3x+7 , what is f(−2) ?
Answer:
D. 29 I just know the awnser sorry
To find the value of f(−2), we substitute −2 for x in the function f(x):
f(−2) = 4(-2)^2 − 3(-2) + 7
= 4(4) − 3(2) + 7
= 16 − 6 + 7
= 11
Therefore, f(−2) = 11.
What single decimal multiplier would you use to increase by 15% followed by a 17% decrease?
Answer:
0.9545
Step-by-step explanation:
Let an integer be x.
If x is increased by 15%, then the value of the number would be
115/100x=1.15x
If 1.15x is decreased by 17%, then the value of the number would be:
(100-17)/100×1.15x
83/100×1.15x=0.9545x
Answer:
0.9545
Step-by-step explanation:
15 % increase
1.15 times17% decrease
0.83 timesincrease followed by decrease
1.15*0.83= 0.9545What is the term that relates to the way data tend to cluster around some middle or central value.
Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.
Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.
To learn more about Central tendency, refer:
https://brainly.com/question/1288901
#SPJ4
Yani buys 4 dozen flyers for $7.25. What is the cost for 12 dozen
Choose the word that correctly completes the statement. Since angle B is the largest angle, is the ________ side. adjacent included longest shortest
Since angle B is the largest angle, Line segment A C is the longest side. option C
How to complete the statementTo complete the statement, we need to know that;
Using the sine rule of a triangle, we can know that the sin value of an angle will be directly related to the length of the side it's facing.
Angle B is the largest angle out of the three. The sin value of an angle will be larger if the angle is larger (from 0 to 90). Sin 75 is 0.97, sin 60 is 0.87, and sin 45 is 0.71
That means the largest angle will have the largest sin value. The largest sin value means the side will be the longest side.
Learn more about angles at: https://brainly.com/question/25716982
#SPJ4
The complete question:
Choose the word that correctly completes the statement. Triangle A B C is shown. Angle A C B is 45 degrees, angle C B A is 75 degrees, and angle B A C is 60 degrees. Since angle B is the largest angle, Line segment A C is the ________ side.
adjacent
included
longest
shortest