sara wong spent $15 on three fancy pens.how much did each pen cost
Answer:
$5
Step-by-step explanation:
3 pens=$15
3x=15
3x÷3=x 15÷3=5
1 pen is $5
please help I will give you any award
Answer:
218.57
Step-by-step explanation:
Since it is an isoceles triangle, the sides are 32, 32, and 14.
Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2, we can calculate the area.
(A+B+C)/2 = (32+32+14)/2=39.
A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.
Hope this helps have a great day :)
Check the picture below.
so let's find the height "h" of the triangle with base of 14.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)
what is the difference of the polynomial, write your answer in descending order. (3x^2 – 3x + 6) – (5x^2 + 2x + 9)
Answer:
-2x^2 -5x -3
Step-by-step explanation:
(3x^2 – 3x + 6) – (5x^2 + 2x + 9)
Distribute the minus sign
(3x^2 – 3x + 6) – 5x^2 - 2x - 9
Combine like terms
3x^2 – 5x^2 - 2x– 3x - 9+ 6
-2x^2 -5x -3
Round 34,699 to the nearest 10,000
Answer:
30,000
Explanation:
This is less than 35000. And so we need to round the number down to the nearest ten thousand. And so if we round 34699 to the nearest ten thousand, it becomes 30000.
Answer:
35,000
Step-by-step explanation:
the explanation is that when rounding up from 34,699 it round up to
35,000 because 6 is greater than 5 which means you round up the number in front of the 5 through 9. 4 through 0. You round it to 0 so it would be 35,00.
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
a 20-foot ladder is leaning against a building in order to reach the roof. the foot of the ladder is 6 feet from the building. how tall is the building?
The building is 19.078 feet tall.
Given:
A 20-foot ladder is leaning against a building in order to reach the roof. the foot of the ladder is 6 feet from the building.
Let x be the building height.
here it forms a right angled triangle,
ladder length (hypotenuse) = 20 feet.
base length = 6 feet
According to pythagorean theorem,
\(hypotenuse^{2} = side^{2} +side^{2}\)
\(20^{2} =6^{2} +x^{2}\)
400 = 36 + \(x^{2}\)
\(x^{2}\) = 400 - 36
\(x^{2}\) = 364
x = \(\sqrt{364}\)
x = 19.078 feet.
Therefore the height of the building is 19.078 feet.
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Enter the Correct answer in the box. Function g is graphed here. [see image] If function f is the parent exponential function f(x) = e^x , what is the equation of transformed function g in terms of function f? Replace the value of a to complete the equation.
Answer:
g(x) = 1.1f(x + 1)Step-by-step explanation:
g(x) is the translation of the parent function f(x) to left by 1 unit and slightly stretched vertically.
g(x) is:
f(x) = 1.1f(x + 1)See attached with both graphs included
Answer:
g(x)=3f(x)
Step-by-step explanation:
the f(x) creates the exact slope of those in the picture because is the parent function of g(x) and by adding the 3 in the front it set the y-intercept to be 3 as such in the picture visual.
-Also if you don't believe me you can always put it in a graphing calculator such as Desmos
For P = {9, 12, 13, 15}, Q= {2, 7, 11}, and R= {4, 7, 8, 11}, find PU (QU R). Select the correct choice below and fill in the answer box within your choice. A. PU(QU R) = { } (Use a comma to separate answers as needed.) B. PU ( QU R) is the empty set.
The answer is A. PU(QU R) = {2, 4, 7, 8, 9, 11, 12, 13, 15}.
To find PU (QU R), we first need to find QU R, which means we need to take the union of Q and R and then find the union of that set with P.
Q U R = {2, 4, 7, 8, 11}
PU(QU R) = P U (Q U R) = {9, 12, 13, 15} U {2, 4, 7, 8, 11} = {2, 4, 7, 8, 9, 11, 12, 13, 15}
Therefore, the answer is A. PU(QU R) = {2, 4, 7, 8, 9, 11, 12, 13, 15}.
Note that the order of the sets does not matter when taking the union, and any repeated elements are counted only once in the final set.
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In triangle ABC, a = 5.3 cm, b = 4.8 cm, and c = 9.2 cm.
Determine the measures of the three interior angles of triangle ABC.
PLZ HELP
Answer:
a= 25.69, b=23.12, c=131.119
Step-by-step explanation:
\(cosa=\frac{B^{2} +C^{2} -A^{2} }{2BC} \\ =\frac{79.59}{88.32} \\ a = 25.69\)
\(cos(b)=\frac{A^{2} +C^{2} -B^{2} }{2AC} \\ =\frac{89.69}{97.52}\\ b=23.12\\c=180-23.12-25.69\\ = 131.119\)
If P(A) = 0.58, P(B) = 0.44, and P(A ? B) = 0.25, then P(A ? B) = a. 0.11. b. 0.77. c. 0.39. d. 1.02.
The probability of either A or B occurring (or both) is 0.11. The correct answer is A.
We know that:
P(A) = 0.58
P(B) = 0.44
P(A ∩ B) = 0.25
We can use the formula:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
to find P(A ∪ B), which is the probability of either A or B occurring (or both). Substituting the given values, we get:
P(A ∪ B) = 0.58 + 0.44 - 0.25
= 0.77
We also know that:
P(A ∩ B) = P(A) + P(B) - P(A ∪ B)
Substituting the values we know, we get:
0.25 = 0.58 + 0.44 - P(A ∪ B)
Solving for P(A ∪ B), we get:
P(A ∪ B) = 0.58 + 0.44 - 0.25
= 0.77
Therefore, we have:
P(A ∩ B) = 0.25
P(A ∪ B) = 0.77
Using the formula:
P(A ∩ B) = P(A) + P(B) - P(A ∪ B)
we can find P(A ∩ B) as:
0.25 = 0.58 + 0.44 - 0.77 - P(A ∩ B)
Solving for P(A ∩ B), we get:
P(A ∩ B) = 0.11
Therefore, the answer is (a) 0.11.
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3(4-2x) =-x+1 plz help
Answer:
The answer is 11/5.
Step-by-step explanation:
First, multiply 3 and 4 together. Do the same with 3 and -2x. Now you should have −6x + 12 = −x + 1. Now, add x to both sides. You should have −5x + 12 = 1. Now subtract 12 to both sides. You should have -5x = -11. Divide both sides by -5. Since -11 and -5 both have the negative sign, they cancel out. You should now get the answer, 11/5! Have a good day!
What is the value of x?
Enter your answer in the box.
Answer:
27
Step-by-step explanation:
Triangle proportionality theorem: when you draw a line parallel to one side of a triangle, it'll intersect the other two sides of the triangle and divide them proportionally
\(\frac{26}{39}=\frac{18}{x}\)
Cross multiply and you get 702=26x
x=27
Answer:
x=27
Step-by-step explanation:
-We can use the triangle proportionality theorem: if line parallel to a side of a triangle intersects the other two sides, then it divides those sides proportionally.
-we write the proportion and solve for x
\(\frac{39}{26} =\frac{x}{18}\)
\(x= \frac{39*18}{26}\)
x= 27
What is the maximum value of this function on the interval [-2,0]
Answer:
2,0?
Step-by-step explanation:
To do this, find your first derivative and then find where it is equal to zero. Because we are only concerned about the interval from -5 to 0, we only need to test points on that interval. (i really don't know hot to explain)
Use the laplace transform to solve the given initial-value problem. y'' − 8y' 16y = t, y(0) = 0, y'(0) = 1
If the initial value problem is \(y^{11} -8y^{1} -15y=0\) and \(y^{1}(0) =1\),y(0)=0 then y(t)=\((e^{3t} -e^{5t} )/2\).
Given the initial value problem be \(y^{11} -8y^{1} -15y=0\)and \(y^{1}(0) =1\),y(0)=0.
We are required to find the solution of the given initial value problem.
Laplace transform is an integral transformation that converts a function of a real variable to a function of a complex variable.
Take laplace on the DE, we get
\(s^{2}-sY(0)-y^{i}(0)-8[sY(s)-y(0)-15Y(s)]=0\)
\(s^{2}Y(s)-s(0)-1-8{sY(s)-0)}+15Y(s)=0\)
(Putting the values given in question)
Y(s)=(\(s^{2} -8s+15)-1=0\)
Y(s)=1/(\(s^{2} -8s+15\))
Simplifying the above:
=1/(\(s^{2} -5s-3s+15)\)
=1/[s(s-5)-3(s-5)]
=1/2 [1/(s-3)-1/(s-5)]
Taking inverse of the above we get,
y(t)=\((e^{3t} -e^{5t} )/2\)
Hence if the initial value problem is \(y^{11} -8y^{1} -15y=0\) and \(y^{1}(0) =1\),y(0)=0 then y(t)=\((e^{3t} -e^{5t} )/2\).
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i-90 is the longest freeway in the us, stretching from seattle to boston. how many miles is it? 2,481 3,021 4,371
The Interstate 90 freeway in the US is (D) 123.9 miles.
What is Interstate 90?In the US state of Illinois, I-90 travels through the northern region of the state roughly from northwest to southeast. It travels south to Rockford from the Wisconsin state line at South Beloit before turning east-southeast to reach the Indiana state line in Chicago. Before entering Indiana, I-90 travels 124 miles (200 km) through a range of landscapes, including farmland west of the Fox River Valley, medium-density suburbs west of O'Hare International Airport, Downtown Chicago, and the center of the industrial southeast side of Chicago. The Illinois Department of Transportation is responsible for maintaining the rest of the route (IDOT). The freeway has a total length of 123.9 miles.Therefore, the Interstate 90 freeway in the US is (D) 123.9 miles.
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Correct question:
i-90 is the longest freeway in the us, stretching from Seattle to Boston. how many miles is it?
a. 248.1
b. 302.1
c. 437.1
d. 123.9
which expression is equivalent to the equation in the picture
Answer: C) \(3x^3+ 6x^2 + 5x +10\)
Step-by-step explanation:
Using the FOIL method since we're multiplying two binomials. We get...
F: Firsts
\(3x^2(x)\)=\(3x^3\)
O: Outside
\(3x^2(2) = 6x^2\)
I: Insides
\(5(x) = 5x\)
L: Lasts
\(5(2) = 10\)
Put them together and we have \(3x^3+ 6x^2 + 5x +10\)! These two are both equivalent since the form given in the question was factored form and this form is just the same thing expanded!
Answer:
C
Step-by-step explanation:
please please help me
Answer:
what are you doing
Step-by-step explanation:
What is the result of x + 2x - 6 = 21?
Answer:
9
Step-by-step explanation:
x + 2x - 6 = 21
3x - 6 = 21 /+6
3x = 27 /:3
x = 9
Answer:
x = 9
Step-by-step explanation:
Hope that helps!
In ΔRST, R = (5x+15) S = (6x+8) T = (4x+7) What is the value of x?
The value of x is 10°.
What is triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
Given:
In ΔRST, m ∠R = (5x+15), m ∠S = (6x+8), m ∠T = (4x+7)
Since the addition of three angles of triangle is 180 degrees.
So,
m ∠R + m ∠S + m ∠T = 180°
(5x + 15) + (6x + 8) + (4x + 7) = 180°
15x + 30 = 180°
15x = 180° - 30°
15x = 150°
x = 10°
Hence, the value of x is 10°.
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The table compares the average daily temperature and ice cream sales each day.
Temperature (°F) Ice Cream Sales
56.1 $107
60.3 $116
64.2 $120
66.4 $122
71.3 $125
73.9 $130
74.2 $132
75.2 $135
80.1 $141
84.8 $152
What is the slope of the line of best fit, where x represents the average daily temperature and y represents the total ice cream sales? (Round your answer to one decimal place.)
6.3
4.2
2.8
1.4
Therefore, the slope of the line of best fit is 1.4.
Where do I find the average formula?Average By adding a collection of numbers and then dividing by their count, the arithmetic mean—also known as the median—is determined. For instance, 30 divided by 6 equals 5, which is the https://brainly.com/question/24057012of 2, 3, 4, 5, 7, and 10.
To find the slope of the line of best fit, you will need to use the formula:
slope = (mean(x) * mean(y) - mean(x*y)) / (mean(x)^2 - mean(x^2))
where x represents the average daily temperature and y represents the total ice cream sales.
First, you will need to calculate the mean of x, the mean of y, the mean of x*y, and the mean of x^2.
The mean of x is (56.1 + 60.3 + 64.2 + 66.4 + 71.3 + 73.9 + 74.2 + 75.2 + 80.1 + 84.8) / 10 = 71.54
The mean of y is (107 + 116 + 120 + 122 + 125 + 130 + 132 + 135 + 141 + 152) / 10 = 128.6
The mean of xy is (56.1107 + 60.3116 + 64.2120 + 66.4122 + 71.3125 + 73.9130 + 74.2132 + 75.2135 + 80.1141 + 84.8*152) / 10 = 8707.7
The mean of x^2 is (56.1^2 + 60.3^2 + 64.2^2 + 66.4^2 + 71.3^2 + 73.9^2 + 74.2^2 + 75.2^2 + 80.1^2 + 84.8^2) / 10 = 6043.17
Plugging these values into the formula for the slope, we get:
slope = (71.54 * 128.6 - 8707.7) / (71.54^2 - 6043.17) = 1.4
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What is the vertex of the graph of the quadratic function f(c) = x2 + 8x + 10?
Vertex is at (4,−6)and the axis of symmetry is x=4
determine the type of data represented, describe and analyze these line graphs of average monthly temperatures in san francisco and st. louis. write your summary here.
The line graphs represent time series data of average monthly temperatures in San Francisco and St. Louis. The graph for San Francisco indicates a mild and relatively consistent climate, with temperatures fluctuating within a narrow range throughout the year. In contrast, the graph for St. Louis shows more significant temperature variations, with distinct seasonal patterns and greater temperature fluctuations between the seasons. The analysis suggests that San Francisco experiences a milder climate compared to St. Louis, with less extreme temperature variations throughout the year.
To determine the type of data represented in the line graphs of average monthly temperatures in San Francisco and St. Louis, we need to consider the variables being plotted on the x-axis and y-axis.
If the x-axis represents time (e.g., months, years) and the y-axis represents the average monthly temperature, then the data would likely be considered as time series data. Time series data captures the variation in a variable over regular intervals of time.
In analyzing the line graphs, we can observe the following:
San Francisco:
The line graph for San Francisco shows the average monthly temperatures over time.
The temperatures generally fluctuate within a relatively narrow range throughout the year.
There is a noticeable pattern of higher temperatures during the summer months and lower temperatures during the winter months.
The graph suggests a mild and relatively consistent climate with less extreme temperature variations.
St. Louis:
The line graph for St. Louis also displays the average monthly temperatures over time.
The temperatures exhibit more significant variations compared to San Francisco.
There are distinct seasonal patterns with warmer temperatures in the summer and colder temperatures in the winter.
The graph indicates a greater temperature range, with more pronounced differences between the seasons compared to San Francisco.
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y=x+3
y=x-3
Solve these equations
Answer:
what is x?
Step-by-step explanation:
Answer:
No solutions
Step-by-step explanation:
How to find area of a triangle inside a rectangle
Answer:
divide 3 and subtract
Step-by-step explanation:
if the triangle and rectangle lie on same base between same parallel line,
Area of rectangle=2Area of triangle
which measurements best approximate the lengths of the legs, to the nearest tenth of a centimeter, of a right triangle if the hypotenuse is 70 cm and the shorter leg is one-third the length of the longer leg?
The length of the base will be equal to 65.99 centimeters.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
The formula for the Pythagorean theorem is given below:-
H² = B² + P²
Given that in a right triangle if the hypotenuse is 70 cm and the shorter leg is one-third the length of the longer leg.
P = 70/ 3 cm
H = 70 cm
The value of the leg will be calculated as:-
H² = B² + P²
70² = B² + (70/3)²
B² = 70² - (70/3)²
B = √4355
B = 65.99 cm
Therefore, the length of the base will be equal to 65.99 centimeters.
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Predict the cost of a meal for a family of four between $55 and $100. Be sure to include dollars and cents.
Part A: If the family has a 15% off coupon, calculate the new price of the meal. Show all work or explain your steps. (6 points)
Part B: Calculate a 22% tip using the new price. What is the final cost of the meal? Show all work or explain your steps. (6 points)
The new price of the meal is between $46.75 and $85
The tip is between $10.29 and $18.7The total is between $57.04 and $103.7How to determine the new price of the mealFrom the question, we have the following parameters that can be used in our computation:
Cost of a meal = between $55 and $100
Coupon = 15% off
This means that
The new price of the meal = Cost of a meal * (1 - Coupon)
Substitute the known values in the above equation, so, we have the following representation
The new price of the meal = between 55 * (1 - 15%) and 100 * (1 - 15%)
Evaluate
The new price of the meal = between $46.75 and $85
The final cost after the tipHere, we have
Tip = 22%
So, we have
Tip = between $46.75 * 22% and $85 * 22%
Evaluate
Tip = between $10.29 and $18.7
The total cost is
Total = between $46.75 + $10.29 and $85 + $18.7
Evaluate
Total = between $57.04 and $103.7
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Factor the polynomial by its greatest common monomial factor.
20
y
6
−
15
y
4
+
40
y
2
=
20y
6
−15y
4
+40y
2
Answer:
5y^2(4y^4 - 3y^2 +8
Step-by-step explanation:
20y^6 - 15y^4 + 40y^2
Are there 4 types of task analysis?
In general, there are five kinds of task analyses:
job or performance analysis learning analysis cognitive task analysis content or subject matter analysis activity analysisWhat is Task AnalysisTask analysis is the process of learning about ordinary users by observing them in action to understand in detail how they perform their tasks and achieve their intended goals. Tasks analysis helps identify the tasks that your website and applications must support and can also help you refine or re-define your site’s navigation or search by determining the appropriate content scope.
Purpose of Task AnalysisIn their book User and Task Analysis for Interface Design, JoAnn Hackos and Janice Redish note that performing a task analysis helps you understand:
What your users’ goals are; what they are trying to achieveWhat users actually do to achieve those goalsWhat experiences (personal, social, and cultural) users bring to the tasksHow users are influenced by their physical environmentHow users’ previous knowledge and experience influence:How they think about their workThe workflow they follow to perform their tasksLearn more about task analysis at https://brainly.com/question/22720305.
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x + y = 30
2x + 4y = 84
Substitution
or
Elimination
I
Answer:
(X,Y)(18,12)
Step-by-step explanation:
x + y = 30
2x + 4y = 84
___________
2x+2y=60
2x+4y=84
_________
-2y=-24/-2y
y=12
2x+4(12)=84
2x+48=84
2x=84-48
2x/2=36/2
X=18
the sum of the 4 digit numbers ABCD and DCBB is a multiple of 10.
the digits A,B,C and D are consecutive integers
the number ABCD is a multiple of 3.
so it asks you to find the difference between the numbers ABCD and DCBB
The difference between the numbers ABCD and DCBB is 10000
How to determine the differenceFrom the information given, we have that:
ABCD and DCBB is a multiple of 10.The digits A,B,C and D are consecutive integersThe number ABCD is a multiple of 3We can say that:
B + D = 10
A = 3
B = 4
C = 5
D = 6
Now,
ABCD = 3456
DCBB = 6544
Difference between the numbers ABCD and DCBB = 3456 + 6544 = 10, 000
Thus, the difference between the numbers ABCD and DCBB is 10000
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