The area of the triangle in terms of 'x' will be (x² + 13x + 28) / 2.
What is the area of the triangle?Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,
A = (1/2) × h·b
The area of the triangle is given as,
A = 1/2 [(x + 4)(x + 7)]
Simplify the equation, then we have
A = [(x + 4)(x + 7)] / 2
A = (x² + 7x + 4x + 28) / 2
A = (x² + 13x + 28) / 2
The area of the triangle in terms of 'x' will be (x² + 13x + 28) / 2.
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i NEED AN ANSWER NOOOOW
If elephant grass grows 3 1/2 inches a day, how many inches will it grow in 8 days?
Answer:
28 inches in 8 days.
Step-by-step explanation:
1. Multiply 3.5 inches by 8 days to calculate the total inches:
2. 3.5 inches x 8 days = 28 inches
Therefore, elephant grass will grow 28 inches in 8 days.
NEED HELP ASAP don’t know exactly ow to do it keep getting the wrong answer
Answer:oh ez it is D=11 Dx=26 x=16 and y = 35
Step-by-step explanation:
I know the answers because I had the same problems lol
this graph shows data related to a company's stock price and time. which type of function best models data? A. a linear function with a positive slope
B. a square root function
C. a quadratic function with a negative value of a
D. a quadratic function with a positive value of a
Answer:
C. a quadratic function with a negative value of a
Step-by-step explanation:
It is likely that a quadratic function with a negative value of a would be the best model for this data, as it would represent a parabolic shape that can accommodate a downward trend, followed by an upward trend, in the stock price. The value of "a" determines the direction of the parabola, with a negative value resulting in a downward-facing parabola, which is appropriate for a stock price that starts low and increases over time. This type of function would provide a good fit for the data, especially if there are fluctuations or ups and downs in the stock price over time.
1/
3
of my bananas are yellow and ! green. The rest are pink. What fraction are pink?
Answer:
Pink bananas? Weird, but cool.
Anyways, the answer would be 2/3.
This is correct because:
1/3 + 2/3 = 3/3 = 1 whole
Step-by-step explanation:
Hope it helps! =D
There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..
Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11
Compare the theoretical probability and experimental probability of pulling a brown marble from the bag.
The theoretical probability, P(brown), is 50%, and the experimental probability is 25%.
The theoretical probability, P(brown), is 50%, and the experimental probability is 22.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 13.0%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
Answer: P(brown), is 25% he experimental probability is 32.5%.
Step-by-step explanation:
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
In the figure, / Ilm. Find the measure of
each angle. Each problem is different.
35) If m27=100°, then m/3 =
36) If m27=175°, then m26=_
37) If m27 = 120°, then m25 =
38) If m/4=20°, then m27 =
39) If m/3=140°, then m28 =
40) If m/4= 30°, then m4=
41) If m24 = 40°, then m2 =
42) If m27=125°, then m/4=
In the above angle measurement problem,
35) If m∠7=100°, then m∠3 = 100° (Alternative Angles)
36) If m∠7=175°, then m∠6= 5° (Co-interior Angles)
37) If m∠7 = 120°, then m∠5 = 120° (Corresponding Angles)
38) If m∠4=20°, then m∠7 = 160° (Angles on a straight line and Corresponding Angles)
39) If m∠3=140°, then m∠8 = 40° (m∠3 = m∠1 Corresponding angles; ∠1+ ∠8 = 180° - Angles on a straight line)
40) If m∠4= 30°, then m∠1 = 150° (Corresponding Angles)
41) If m∠4 = 40°, then m∠2 = 40° (Corresponding Angles)
42) Ifm∠7=125°, then m∠4= 55° (∠4=∠2; Corresponding angles: 180° - ∠7 = 55° - Angles on a Straight Line)
What is a Corresponding Angle?When two parallel lines meet any other line, comparable angles are generated in matching corners or corresponding corners with the transversal.
Congruence and likeness tests in geometry require comparing matching sides and angles of polygons. Each side and angle in one polygon is matched with a side or angle in the second polygon, with the order of adjacency preserved.
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What congruence statement is correct for the congruent triangles shown?
A) ABC=ADC
B) ACB=CDA
C) ABC=CDA
D) ACB= ACD
E) BCA= DCA
The statement that is correct for the congruent triangles shown above are ABC=CDA. That is option C.
What is congruent triangles?The congruent triangles are those two triangles that have all it's edges and angles equal in size.
There are two different types of triangle which include the following:
Triangle ABC andTriangle ADC.The sides and angles that are equal include the following;
< A = < C
< D = < B
Therefore the statement that shows that the two given triangles are equal = ABC=CDA.
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The baker made a batch of chocolate chip, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 0.25, interpret the likelihood of randomly selecting a chocolate chip cookie from the batch.
Equally likely and unlikely
Likely
Unlikely
This value is not possible to represent probability of a chance event.
The likelihood of randomly selecting a chocolate chip cookie from the batch is unlikely
How to determine the likelihoodFrom the question, we have the following parameters that can be used in our computation:
P(chocolate chip) = 0.25
Probability values less than 0.5 are unlikely
0.25 is less than 0.5
This means that the likelihood is unlikely
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Work out the following sheet
Answer: MNO is an isosceles triangle
Step-by-step explanation:
the right hand corner is 80 degrees and the left one is 45 degrees, you work this out by knowing a straight line is 180 degrees, 180-110 is 70. 55+70=125 and then 180-125 is 55.
not sure how to solve the second question so maybe repost it, hope i helped :D
You have $2,000 in your savings account that earns interest at a rate of 8% for 5 years. What is the amount of interest you would earn? *Remember, I = P x R x T
Answer:
$2938.66
Step-by-step explanation:
2000x1.08(to the power of 5) = 2938.656154
rounded to 2s.f is $2938.66
Use the number line to show 2/3 divided by 1/12
The result of 2/3 divided by 1/12 is equal to 8.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
To find the result of 2/3 divided by 1/12, we can use the following equation:
= 2/3 ÷ 1/12 = (2/3) × (12/1)
= 8
Since the multiplication of two numbers is equivalent to the division of their reciprocals, we can use the number line to represent the division as multiplication:
2/3 is located between 1/2 and 1 on the number line, and 1/12 is located between 0 and 1/10. Multiplying 2/3 by 12/1 is the same as moving 12 units to the right on the number line, which is equivalent to moving from 2/3 to 8.
So, the result of 2/3 divided by 1/12 is equal to 8.
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Amber sends a text message to 4 people and those 4 people send the text message to 4 more people, and so on. Write an expression to show the number of people who will receive the text message after the fifth round.
An expression to show the number of people who will receive the text message after the fifth round is, 4 x 4⁵
What is geometric progression?In algebra, in sequence we study various progressions, one of the progression is geometric, in this progression for every two consecutive terms, the common ratio is the same.
Formula for nth term of G.P.,
Tₙ = a×rⁿ
where a is first term and r is common ratio
Given that,
Amber sends a text message to 4 people
Those 4 people send the text message to 4 more people, and so on
An expression to show the number of people who will receive the text message after the fifth round = ?
This process will follow a geometric progression,
Which have common ratio = 4
First term a = 4
Fifth term = ?
Here, n = 5
Tₙ = a × rⁿ
= 4 x 4⁵
= 4096
Hence, the expression is 4 x 4⁵
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Model with Mathematics Jonathan uses this
area model to show the product of two mixed
numbers. What equation models the product?
The equation that models the product is 5 × 5 = 25
Numerical equation:In mathematics, a numerical expression is a combination of numbers or integers combined using mathematical operators like addition, subtraction, multiplication, division, etc. In this, we don't use variables like x, y, etc., or any unknown quantity.
Here we have
Jonathan uses the area model to show the product of two mixed numbers
The equation that models the product can be formed as follows
Here number of units along length = 5 units
Number of units along breadth = 5 units
Area = 5 × 5 = 25
Therefore,
The equation that models the product is 5 × 5 = 25
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1 whole number 1/16 to decimal 50 points pls full solution heres pic i have done it but i am not sure
Answer:
Below
Step-by-step explanation:
17/16 is just 17 ÷ 16 use calculator to fin = 1.0625
Answer:
1.06
Step-by-step explanation:
Step 1: divide numerator (1) by the denominator (16):
1 ÷ 16 = 0.0625
Step 2: add this value to the the integer part:
1 + 0.0625 = 1.0625. So,
1 1/16 = 1.0625
In art class, Jake is copying a detail from a painting. He pants slowly for the first few days, but
manages to increase his rate after that. The graph shows his
progress after he increased his rate.
Answer:
Jake will finish in 990 days
Pls send only answers - no work
Answer:
No
Step-by-step explanation:
If you are just seeking answers, you are basically cheating and trying to get someone to do your work...which will not help you learn the material ....sad.
2) Amy ran a total of 23 miles. She ran 7 miles on Monday, 5 ½ on Tuesday, 10% on
Wednesday, 5 1/4 on Thursday and x miles on Friday. How much did she run on Friday?
Answer:
2.95
Step-by-step explanation:
23 - 7 = 16
16 - 5.5 (1/2 = .50)= 10.5
10.5 - 2.30 (23 becomes 2.30 in 10%) = 8.20
8.20 - 5.25 = 2.95
2.95 miles ran on Friday
Seth purchased a shiny key chain costing $0.34. If Seth received $0.69 in change, how much money did he give to the cashier?
Answer:
$1.03
Step-by-step explanation:
If Seth purchased a shiny key chain costing $0.34 and received $0.69 in change, then he gave the cashier $0.34 + $0.69 = $1.03.
Answer:
x - 0.69 = 0.34
x = 1.03
Therefore, Seth gave the cashier $1.03.
answer thissss plsss i need help
Answer:
x ≤ 217
Step-by-step explanation:
The mean is found by adding each time and dividing by the amount of attempts.
If the mean has to be no greater than 200s and there are five attempts, than the total five attempts should total to no more than 200*5=1000s
The total sum of the first four attempts is 192+206+194+191=783
x must be equal to or less than 1000 - 783 = 217
A woman bought a for $500 and then sold it for $900. She bought it back for $700and then sold it again for $600. How much did she gain or lose on these transactions?
Answer: she lost 500 ,gained 900 ,lost 700, gained 600
Step-by-step explanation:
What is the slope-intercept form of this equation?
8x + 6y = 12
please help
Answer:
The slope-intercept form is y= 4/3 x + 2
Which function is the inverse of f()= 4x2?
The inverse of the function is g(x) = √[(x + 3)/4]
How to determine the inverse of the functipnFrom the question, we have the following parameters that can be used in our computation:
f(x) = 4x^2 - 3
Rewrite the function as
y = 4x^2 - 3
Swap the variables
x = 4y^2 - 3
Make y the subject
So, we have the following representation
y = √[(x + 3)/4]
Rewrite as
g(x) = √[(x + 3)/4]
Hence, the inverse is g(x) = √[(x + 3)/4]
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Me podrían dar una explicación sobre Renacimiento de la estadística
Some methods of statistical analysis include:
mean, standard deviation, regression, hypothesis testing, sample size determinationThe word "renaissance" simply means the rebirth of a thing or something and in this case, it would seem to mean the rebirth of statistics to include better ways and methods of data gathering, collection and analysis.
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean and this is one of the more "modern" ways of data gathering in statistics as these methods have come a long way from older methods of gathering data such as human statistics and census methods.
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The English translation is:
Could you give me an explanation about the Renaissance of Statistics?
P=W (1+a)/1-a Make a the subject
The variable a as the subject is a = (P -W)/(W + P)
How to make a the subject of the formulaFrom the question, we have the following parameters that can be used in our computation:
P=W (1+a)/(1-a)
Cross multiply the equation
So, we have the following representation
P - Pa = W + Wa
Collect the like terms
This gives
Wa + Pa = P - W
So, we have
a(W + P) = P - W
Divide
a = (P -W)/(W + P)
Hence, the solution is a = (P -W)/(W + P)
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An investment portfolio is shown below.
Investment Amount Invested ROR
Money Market Account $3,200 2.1%
Government Bond $1,750 4.4%
Preferred Stock $1,235 −7.8%
Common Stock $2,300 10.5%
Using technology, calculate the difference between the arithmetic average ROR and the weighted average ROR. Round to the nearest tenth of a percent.
0.5%
1.1%
2.3%
3.5%
Using technology, the difference between the arithmetic average ROR and the weighted average ROR is 0.52%
What is arithmetic mean?The Arithmetic Mean will be called the Simple Arithmetic Mean when it is calculated as the quotient between the sum of all the different related values and the number of observations involved in this sum.
Given An investment portfolio
Since arithmetic average ROR:
The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments arithmetic average:
ROR = (2.1%+ 4.4%+ 7.8% + 0.5%)/4
arithmetic average ROR=6.20%
total amount invested=$3200+$1750+$1235+$2,300
total amount invested=$8,485
weighted average:
ROR = (3200/8485 * 2.1%+ 1750/8485 * 4.4%+ 1235/8485 *7.8% + 2300/8485 *0.5%)
weighted average:
ROR=5.68%
difference=6.20%-5.68%
difference=0.52%
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Answer: it’s 1.1%
Step-by-step explanation: just got it right on the test
Solve 9=2x^2+3x in quadratic equation
Answer: x=-3 & x=3/2
Step-by-step explanation:
1. Simplify the expression
- Divide both sides by the same factor
9=2x^2+3x
2x^2 + 3x - 9 = 0
2. Use the quadratic formula
- Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
2x^2 + 3x - 9 = 0
a = 2
b = 3
c = -9
x = √-3±3^2−4⋅2(−9)/2⋅2
3. Simplify, again.
- Evaluate the exponent
- Multiply the numbers
- Add the numbers
- Evaluate the square root
x=−3±9/4
4. Separate the equations
- To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x=−3+9/4
x=-3-9/4
5. Solve
- Rearrange and isolate the variable to find each solution.
x=3/2
x=-3
Story Problem 62: A delivery driver had to make 9 stops on his route. He dropped off the same number of boxes at each stop. If he dropped off a total of 49 large boxes and 59 small boxes, how many boxes did he drop off at each stop?
There are 9 stops altogether, and a total of 5 large boxes and 6 little boxes are delivered to each one.
what is unitary method ?
The unit tactic is a method for addressing dilemmas that entails first figuring out the price of a single unit, then increasing that value to figure out the needed value. Simplest terms, the unit method is used to derive a single unit value out of a multiple that is supplied. For example, 40 pens may cost 400 dollars, which is equal to the cost of one pen. This procedure could follow a regular procedure. a single nation. anything has a distinct identity. Its l'hopital and reciprocal are equal in terms of mathematics, algebra, abstract algebra, mathematical analysis, or mathematics of vectors or operators.
given
total number of stops = 9
total number of large boxes = 49
A total of 59 tiny boxes
every stop has the same number of boxes:
There are the same number of boxes at each station
for large boxes (49/9) = 5
small boxes (59/9) = 6
There are 9 stops altogether, and a total of 5 large boxes and 6 little boxes are delivered to each one.
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If your original biconditional statement is true, would the contrapositive be true? Give an example to illustrate your reasoning. ＇
If your original biconditional statement is true, would the contrapositive be true
What is Biconditional statement ?
Biconditional statement can be defined as if in both cases they are equal than they are true otherwise false.
Yes,
If your original biconditional statement is true, would the contrapositive be true
Let us suppose,
P ⇔ Q
Suppose P = true and Q = true
So, P ⇔ Q is true
and ~P = false and ~Q = false
¬Q ⇔ ¬P is also true
Therefore, If your original biconditional statement is true, would the contrapositive be true
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Anyone knows how to do this
well, in 2005 there were 55000 folks, and then 3 years later it was 61600, since we know the increment is linear, then we can just call year 2005 year 0 and use a table for that
[tex]\begin{array}{ccll} \stackrel{x}{year}&\stackrel{y}{population}\\ \cline{1-2} 0&55000\\ 3&61600 \end{array}\hspace{5em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{55000})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{61600}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{61600}-\stackrel{y1}{55000}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{ 6600 }{ 3 } \implies 2200[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{55000}=\stackrel{m}{ 2200}(x-\stackrel{x_1}{0}) \\\\\\ y-55000=2200x\implies {\Large \begin{array}{llll} y=2200x+55000 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{in 2010 from 2005 that's 5 years later, x = 5}}{y = 2200(5)+55000}\implies {\Large \begin{array}{llll} y=66000 \end{array}}[/tex]