The difference between the area of the rectangle and the area of the triangles is 56 units.
What are the area of the rectangle and the area of the triangles?Area of the rectangle = 8 * 16
Area of the rectangle = 128 units
Area of triangle 1 = ¹/₂ * 4 * 12
Area of triangle 1 = 24 units
Area of triangle 2 = ¹/₂ * 4 * 16
Area of triangle 2 = 32 units
Area of triangle 2 = ¹/₂ * 4 * 8
Area of triangle 2 = 16 units
Area of rectangle - area of triangle = 128 - ( 24 + 32 + 16)
Area of the rectangle - the area of the triangles = 56 units
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A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?
Answer:
a) .38 × 2,450 = 931 people buy the local newspaper.
b) 2,450 - 931 = 1,519 people do not buy the local newspaper.
Choose ALL answers that describe the quadrilateral VWXYVWXY if VW = 15VW=15, WX = 15WX=15, XY = 15XY=15, YV = 15YV=15, and diagonals have equal length: VX = WYVX=WY.
A description of the quadrilateral VWXY that has equal length sides and equal length diagonals is that the quadrilateral is a square
What is a quadrilateral?A quadrilateral is a polygon that has four sides and four vertices or corners, such that a quadrilateral ABCD has sides AB, BC, CD, and AD, and interior angles ∠A, ∠B, ∠C, and ∠D
The given description of the quadrilateral VWXY are;
VW = 15, WX = 15, XY = 15, YV = 15
The lengths of the sides of the quadrilateral VWXY are the same
The length the diagonals are the same;
VX = WY = VX = WY
The properties of a square are;
The interior angles are congruent and equal to 90°
The four sides have equal length
Opposite sides of a square are congruent
The length of the diagonals are the same
The the same length diagonals of quadrilateral indicates that the quadrilateral can be either a square or a rectangle
The property of the quadrilateral of equal length sides indicate that the quadrilateral is a square.
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Daisy walks 1.13 miles on each trip to the park. How far will Daisy walk if she makes 6.5 trips to the park?
Writing Task 1:
Which one of the following does not belong and why?
a) log(1/1000) = X
b) log1000 (10) = x
c) (10³) = x
d) log (1000) =X
log1000(10) = x does not belong. This is because it does not have a real solution, while the other options (a, c, and d) have valid solutions.
The correct answer is option B.
To determine which one of the given options does not belong, we need to evaluate each option and compare them based on their properties and mathematical relationships.
a) log(1/1000) = x
Using the logarithmic property that log(a) = -log(1/a), we can rewrite this equation as:
log(1/1000) = log(\(1000)^(^-^1^)\)
log(1/1000) = log(\(1000)^(^-^1^)\)) = -3
b) log1000(10) = x
This equation can be rewritten as:
log base 1000 (10) = x
Here, the logarithm is asking for the power to which 1000 should be raised to obtain 10. Since 10 is not a power of 1000, this equation does not have a real solution. Therefore, this option does not belong.
c) (10³) = x
This equation represents 10 raised to the power of 3, which is equal to 1000. Therefore, x = 1000.
d) log(1000) = x
Using the logarithmic property that log base 10\((10^x)\) = x, we can rewrite this equation as:
log(1000) = log\((10^3)\) = 3
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Solve the system by the addition method. x + 3y = 6 3x + 4y = −2
The solution to the system is x = -6 and y = 4.
To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.
Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:
-3x - 9y = -18
+ 3x + 4y = -2
-------------
-5y = -20
Now we can solve for y by dividing both sides by -5:
y = 4
We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:
x + 3(4) = 6
x + 12 = 6
x = -6
So the solution to the system is x = -6 and y = 4.
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What is the conclusion that we can make from this graph?
Do we have enough information to predict what the next years snowfall in Bristol will be?
Which type of graph would be the best way to visually represent the information in this table? Line graph,bar graph, or circle graph?
GRAPH SHOWN BELOW
Thank you so much!
Q7 PLEASE HELP ME !!!!!!!!!!!!!!!!!!!
The outcomes that are contained in the events are
X = 3 and 10 ⇒ P(X) = 1/5Not X =1, 2, 4, 5, 6, 7, 8 ⇒ P(Not X) = 4/51 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)
The outcomes contained in the eventsFrom the question, we have the following parameters that can be used in our computation:
X = gray colours
Given that
gray colours = 3 and 10
We have
X = 3 and 10
Not X =1, 2, 4, 5, 6, 7, 8
The probability is then calculated as
P(X) = 2/10 = 1/5
For P(Not X), we have
P(Not X) = 1 - 1/5 = 4/5
The equation of P(Not X)In (a), we have
P(Not X) = 1 - 1/5 = 4/5
This means that
P(Not X) = 1 - P(X)
So, the solution is
1 - P(X) = 4/5
The equivalent expressionUsing the above (a) and (b) as a guide, we have the following:
1 - P(X) is the same as P(Not X)
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2/4= 4-2 true or false
Answer:
= Answer is falseStep-by-step explanation:
False is the ansWhich expression is equivalent to "9 more than the quotient of x and 5
The required expression is (x / 5) + 9
Given that we have to build an equation for the statement "9 more than the quotient of x and 5,
So,
This expression represents the quotient of x divided by 5, and then adding 9 to the result.
Therefore,
"9 more than the quotient of x and 5" can be written mathematically as:
(x / 5) + 9
Hence the required expression is (x / 5) + 9
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Instead of numbers satisfies Binfords law if the probability of a number starting with digit d is p(d)=log (d+1)-log(d) The probability of a particular digit is more than 8% the graph represents the situation which values are included in the solution set
Answer:
B and E
Step-by-step explanation:
i took the test
Solve the system of equation using elimination
Answer:
To Solve a System of Equations by Elimination
Write both equations in standard form. ...
Make the coefficients of one variable opposites. ...
Add the equations resulting from Step 2 to eliminate one variable.
Solve for the remaining variable.
Substitute the solution from Step 4 into one of the original equations.
here! ( happy hoildays!)
A bank developed a model for predicting the average checking and savings account balance as balance= −17,732 + 367×age + 1,300×years education + 0.116×household wealth
The interpret the numbers in this model is -17,732 is a constant amount credited from the savings account, 367 is the amount saved per year of age, 1300 is the amount saved per year of education.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. In mathematics, a linear equation is an equation that may be put in the form \({\displaystyle a_{1}x_{1}+\ldots +a_{n}x_{n}+b=0, } where x_{1}, \ldots, x_{n} are the variables, and {\displaystyle b, a_{1}, \ldots, a_{n}}\) are the coefficients, which are often real numbers.
Given that;
The equation of savings account balance as balance= −17,732 + 367×age + 1,300×years education + 0.116×household wealth.
Now,
-17,732 is a constant amount credited from the savings acount
367 is the amount saved per year of age
1300 is the amount saved per year of education
0.116 is the amount save per household wealth
Therefore, the following are the interpretations of the equation.
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Question 4 of 10
If a radius of a circle bisects a chord, then it is
to that chord
O A. perpendicular
B. adjacent
C. congruent
D. parallel
SUBMIT
Answer:
If a radius of a circle bisects a chord, then it is perpendicular to that chord.
So. A. perpendicular
Identify the graph of the inequality 2(2x-1)+7< 13 or -2x+5-10.
From the resulting solution, the correct linear inequality graph is Graph C.
Solving inequality expressionGiven the inequality equation below:
2(2x-1)+7< 13 or -2x+5 ≤ -10.
Simplify the expression
2(2x-1)+7< 13
Expand
4x - 2 + 7 < 13
4x + 5 < 13
4x < 13 - 5
4x < 8
x < 2
For the inequality -2x+5 ≤ -10.
-2x+5 ≤ -10
-2x ≤ -15
x ≥ 7.5
Hence the solution to the given system of inequalities are x < 2 and x ≥ 7.5
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Consider the following geometry problems in 3-space Enter T or F depending on whether the statement is true or false.1. Two planes parallel to a third plane are parallel 2. Two lines parallel to a plane are parallel 3. Two lines orthogonal to a third line are parallel 4. Two lines parallel to a third line are parallel 5. Two planes parallel to a line are parallel 6. Two lines orthogonal to a plane are parallel 7. Two lines either intersect or are parallel 8. Two planes either intersect or are parallel 9. Two planes orthogonal to a line are parallel 10. A plane and a line either intersect or are parallel 11.Two planes orthogonal to a third plane are parallel
Answer:
Step-by-step explanation:
1) Two planes parallel to a third plane are parallel - True
2) Two lines parallel to a plane are parallel - False
3) Two lines orthogonal to a third line are parallel - False
4) Two lines parallel to a third line are parallel - True
5) Two planes parallel to a line are parallel - False
6) Two lines orthogonal to a plane are parallel - True
7) Two lines either intersect or are parallel - False
8) Two planes either intersect or are parallel - True
9) Two planes orthogonal to a line are parallel - True
10) A plane and a line either intersect or are parallel - True
11) Two planes orthogonal to a third plane are parallel - False
Penny gets paid $12 per hour to work at the coffee shop: The amount of money she earns depends on the number of hours she works. M Which is the dependent variable, and which is the independent variable?" A. The dependent variable is the number of hours she works, and the independent variable is the amount of money she earns. AL B. The dependent variable is the amount of money she earns, and the independent variable is the number of hours she works. C. The dependent variable is the amount of money she earns, and the independent variable is the size of the coffee shop. D. The dependent variable is the size of the coffee shop, and the independent variable is the amount of money she earns
Answer:
B- The dependent variable is the amount of money she earns, and the independent variable is the number of hours she works.
Step-by-step explanation:
The amount of money she earns depends on how many hours she works, making that the dependant variable.
The annual rainfall in a certain region is approximately normally distributed with mean 41.4 inches and standard deviation 5.7 inches. Round answers to the nearest tenth of a percent.
Complete question :
The annual rainfall in a certain region is approximately normally distributed with mean 41.4 inches and standard deviation 5.7 inches. Round answers to the nearest tenth of a percent. a) What percentage of years will have an annual rainfall of less than 43 inches? b) What percentage of years will have an annual rainfall of more than 39 inches? c) What percentage of years will have an annual rainfall of between 38 inches and 42 inches?
Answer:
0.61053
0.66314
0.26647
Step-by-step explanation:
Given that :
Mean (m) = 41.4 inches
Standard deviation (s) = 5.7 inches
a) What percentage of years will have an annual rainfall of less than 43 inches?
P(x < 43)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (43 - 41.4) / 5.7 = 0.2807017
p(Z < 0.2807) = 0.61053 ( Z probability calculator)
b) What percentage of years will have an annual rainfall of more than 39 inches? c)
P(x > 39)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (39 - 41.4) / 5.7 = −0.421052
p(Z > −0.421052) = 0.66314 ( Z probability calculator)
What percentage of years will have an annual rainfall of between 38 inches and 42 inches?
P(x < 38)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (38 - 41.4) / 5.7 = −0.596491
p(Z < −0.596491) = 0.27545 ( Z probability calculator)
P(x < 42)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (42 - 41.4) / 5.7 = 0.1052631
p(Z < 0.1052631) = 0.54192 ( Z probability calculator)
0.54192 - 0.27545 = 0.26647
A customer at a department store has $45.75. How many neckties can the customer buy if each tie costs $15.25? (ღ˘⌣˘ღ)
Answer:
The customer can buy 3 neckties
Step-by-step explanation
$45.75 divided by $15.25 is 3.
4m = -32 solve for M
will give brainliest.
Answer:
m = -8
Step-by-step explanation:
have a nice day! :)
Answer:
From this quation:
4m = -32
We need to get m, so we can divide both sides by 4:
4m / 4 = -32 /4
m = -8
You can try to replace it to see if it's correct:
4 * 8 = -32
Зr + 4 = 12 = Зr
What is the answer
Answer:
r = 8
Step-by-step explanation:
Solve for r:
r + 4 = 12
Subtract 4 from both sides:
r + (4 - 4) = 12 - 4
4 - 4 = 0:
r = 12 - 4
12 - 4 = 8:
Answer: r = 8
ASAP, PLSSS!!!! What is the range of the given function?
Answer:
[6, 8).
Step-by-step explanation:
When we are looking for the range of a function by just looking at the graph, we have to define from what point to what point the graph move vertically. On the other hand, if we were looking for the domain, we would state from where to where the graph moves horizontally.
In this case we have to analyze the graph vertically, since we are looking for the range of the function. Therefore, if we take a look at the line we can notice that it goes from y=6 to y=8. Therefore the range should be from 6 to 8.
Now, this result must be expressed in interval notation, meaning that we have to state whether the values of each end are contained or not by the function. The graph already tells us about it., because it marks it with the closed or open dots. In the case of the number 6, we have a closed dot, means that the function contains the number 6. For the other end we have an open dot, means that the function doesn't contain the number 8.
Applying internal notation, the range of this function is:
[6, 8).
Learn more about interval notation here:
1. https://web.nmsu.edu/~kberver/Unit1/Unit18.html#:~:text=An%20interval%20is%20closed%20if,used%20for%20an%20open%20endpoint.
2. https://brilliant.org/wiki/interval-notation/#:~:text=Interval%20notation%20is%20a%20way,inequality%20or%20system%20of%20inequalities.
You and your friend enter frogs in a frog-jumping contest. Your friend’s frog jumps 14 feet. Your frog jumps 16 feet. How much farther does your frog jump?
2 7/12
2 5/12 feet
1 7/12
1 5/12 feet
Answer: 2 feet.
Step-by-step explanation: 16 - 14 = 2. That would be 14 inches. 2 feet.
WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
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I need help!!!!!!!!!
Answer:
its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2
Answer:
When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.
Multiply b^2 * b^3 = b^5 (add the exponent 2 + 3 = 5)
Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)
Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)
b^2 * b*2 = b^4 (add exponents)
7b * b^2 = 7b^3 (add the exponents 1 + 2)
4 * b^2 = 4b^2
b^2 + 7b + 4
b^3 b^5 + 7b^4 + 4b^3
+
b^2 b^4 + 7b^3 + 4b^2
b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2
\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)
b^5 + 8b^4 + 11b^3 + 4b^2In the figure below, point B is the corner of street ABC. If streetlights are to b
installed along one side of the street with equal distance between the lights, and a
treetlight must be installed at points A, B and C, at least how many streetlights
an be installed along the street?
A
1625 m
B
cli
1170 m
Therefore, at least 49 street lights can be installed along one side of the street with equal distance between the lights.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.
Here,
The distance between point A and B is AB, and the distance between point B and C is BC. Let's assume that the distance between each street light is "d".
Since there must be a street light at points A, B, and C, there will be a total of two gaps between these three street lights, which are AB and BC. Thus, the number of street lights required is equal to the sum of the lengths of AB and BC, divided by the distance "d" between the street lights, plus 1 for the street light at point B.
So, the total number of street lights required is
Number of street lights = (AB + BC) / d + 1
We know that AB = 1170 m and BC = 1625 m, and the distance between each street light should be equal. Therefore, we need to find the greatest common factor (GCF) of 1170 and 1625 to determine the distance between each street light.
1170 = 2 x 3 x 3 x 5 x 13
1625 = 5 x 5 x 13
The GCF of 1170 and 1625 is 65, which means the distance between each street light should be 65 meters.
Now we can calculate the total number of street lights required:
Number of street lights = (1170 + 1625) / 65 + 1
= 49
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What ordered pairs are the solutions of the system of equations shown in the graph below?
The solutions are where the two lines cross over each other.
(0,3) and (4,-5)
plz the teacher never explan this lesson in class
Answer:
5
30
15
Hope that helps!
Step-by-step explanation:
A bag with 8 marbles has 4 red marbles, 3 blue marbles, and 1 yellow marble.A marble is chosen at random. What is the probability that it is red? Write your answer as a fraction in simplest form.
SOMEONE PLEASE HELP ME IM SO STUCK
Answer:
1/4
Step-by-step explanation:
First you add all of the marbles in the bag which is 16 marbles. The fraction of red marbles to the total would be 4/16. In the simplest form that is 1/4. You can also just do 4 divide by 16 which gives you 0.25 and in decimal form that is 1/4.
Campsite fees
(per day)
Tent ...... .. $15.00
Caravan ....... $25.00
The sign shows the fees charged at a campsite.
Today there are 54 tents and 18 caravans on the site.
Calculate the fees charged today.
Answer:
1260
Step-by-step explanation:
Tents: 15×54=810
Caravans: 25×18=450
450+810=1260
Answer:
$1260
Step-by-step explanation:
Campsite Fees:
Tent - $15 (per day)
Caravan - $25 (per day)
No. of Tents and Caravans today:
Tents - 54
Caravan - 18
Total fees for Tent = 15 x 54
= $810.
Total fees for Caravan = 25 x 18
= $450.
Fees altogether for Today = Total fees for Tent + Total fees for Caravan
= $810 + $450
= $1260
What is the product in simplest form? −8/9⋅5/6
−20/27
−1/5 −1
−13/15
Answer:
Step-by-step explanation:
Hello,
-8/9 X 5/6 = -40 / 54. The greatest common factor they both go into is 20. Divide -40 and 54 by 20, and the answer simplified is -20/27, letter C.
Hope this helps ;)