Answer:
1.89 inch²
Explanation:
[tex]\sf \boxed{\sf \dfrac{pq}{2} } \ \ \ where \ p \ and \ q \ are \ the \ diagonals \ of \ the \ kite[/tex]
Here given:
diagonal 1: 2.7 inchdiagonal 2: 1.4 inchFind the Area:
[tex]\rightarrow \sf \dfrac{2.7 \ x \ 1.4}{2} \ = \ 1.89 \ in^2[/tex]
Question 1 options:
The Jones family is driving from San Antonio, Texas, to Anchorage, Alaska, which is a distance of 4304 miles. They have already driven 1639.2 miles.
How much farther does the family need to drive to reach Anchorage?
Enter your answer as a decimal in the box
Answer:
2664.8 miles left to drive
Step-by-step explanation:
4304 miles driven
subtract 1639.2 miles driven
total left is 2664.8 miles yet to drive
Select the correct answer from each drop-down menu.
complete the statements about this function
f(x)= -2\x+1| + 2.
the vertex of the function is la
on the interval (-1,0), the function is
as x approaches positive infinity, the function approaches
infinity
The vertex of the function is a maximum and on the interval (-1,0), the function approaches negative infinity as x approaches positive infinity
How to interpret the function?The function is given as:
f(x)= -2|x+1| + 2
The above function is an absolute value function
An absolute value function is represented as:
y = a|x - h| + k
Where the vertex is:
Vertex = (h, k)
When a is less than 0, then the vertex is at maximum
By comparison, we have:
a = -2
(h,k) = (-1, 2)
-2 is less than 0
Hence, the vertex of the function is a maximum and on the interval (-1,0), the function approaches negative infinity as x approaches positive infinity
Read more about absolute value functions at:
https://brainly.com/question/3381225
#SPJ1
You need a loan and your friend, Joey, will lend you the $1250 you need. He has you sign a promissory note for four years with an annual simple interest rate of 5.5%. What is the total amount that you will pay Joey at the end of the four years?
$1525
$4225
$2750
$275
Answer:
$1525
Step-by-step explanation:
5.5% out of $1250= 68,7568,75 x 4 (years) = 2751250 + 275 = 1525Find the equation of the line. Use exact numbers. y=y=y, equals x+x+x, plus
A coordinate plane. The x- and y-axes each scale by one. A graph of a line goes through the points zero, four and one, six.
The equation of a line that is passing through the points (0, 4) and (1, 6) will be y = 2x + 4.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A coordinate plane. The x-axis and y-axis are each scaled by one.
A graph of a line goes through the points (0, 4) and (1, 6) will be
The equation of a line that is passing through the points (0, 4) and (1, 6) will be
y - 4 = [6 - 4 / 1 - 0] (x - 0)
y - 4 = 2x
y = 2x + 4
The graph is given below.
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
Answer:y=x-5
Step-by-step explanation:
khan academy
The graph of g is a translation 4 unit down of the graph of f(x) = 6x-4. The rate of change of g over the interval -2 ≤ x ≤ 4 is
The function g(x) is a linear function, and the rate of change over the interval -2 ≤ x ≤ 4 is 6
How to determine the rate of change?The function f is given as:
f(x) =6x - 4
When translated down by 6 units, the rule of translation is:
g(x) = f(x) - 4
So, we have:
g(x) = 6x - 4 - 4
Evaluate
g(x) = 6x - 8
The rate of change over -2 ≤ x ≤ 4 is then calculated using:
g'(x) = [g(b) - g(a)]/[b - a]
So, we have:
g'(x) = [g(4) - g(-2)]/[4 + 2]
Evaluate
g'(x) = [g(4) - g(-2)]/[6]
Calculate g(4) and g(-2)
g(4) = 6 * 4 - 8 = 16
g(-2) = 6 * -2 - 8 = -20
So, we have:
g'(x) = (16 + 20)/6
Evaluate
g'(x) = 6
Hence, the rate of change over the interval -2 ≤ x ≤ 4 is 6
Read more about rate of change at:
https://brainly.com/question/8728504
#SPJ1
Whats the product 72x0.45
Answer:
72 times 0.45 is equal to 33.75
Step-by-step explanation:
You can use a calculator to find this out.
Answer:
32.4
Step-by-step explanation:
After repeatedly adding 0.45 a total of 72 times. You end up getting 32.5
To check the answer you divide 32.5 by 72 and receive 0.45. Checking the answer
PLEASE HELP ME ASAP!
A rug measures 5/6 foot long and 1/3 foot wide. What is the area of the rug?
5/18t2
5/18t3
1 3/18 t2
1 3/18 t3
Answer:
Length = 5/6 foot
Breadth = 1/3 foot
Area of rug = l×b
=5/6 × 1/3
= 5/18 Ft^2
Illustrate on a number line the solution set of each pair of simultaneous inequalities. x>-2;-4 <x <2
Answer:
See below
Step-by-step explanation:
Use this tool to plot
https://quickmath.com/webMathematica3/quickmath/graphs/inequalities/basic.jsp#form?v2=graph
The results are shown in the accompanying screenshots
The first sequence rule is multiply by 4 starting from 7. The second sequence rule is add 5 starting from 8. What is the first number that appears in both sequences?
28
56
112
225
Answer:
28
Step-by-step explanation:
28 is the number that appears first for both.
For first sequence:
7 × 4 = 28 × 4 = 112 × 4 = 448
For second sequence:
8 + 5 = 13 + 5 = 18 + 5 = 23 + 5 = 28
The volume of this rectangular prism is 48,608 cubic centimeters. What is the value of b?
Answer:
b = 49 cm
Step-by-step explanation:
Volume of a rectangular prism = width × length × height
Given:
volume = 48,608 cm³width = 16 cmlength = bheight = 62 cmSubstituting the given values into the formula and solving for b:
⇒ 48608 = 16 × b × 62
⇒ 48608 = 992 b
⇒ b = 48608 ÷ 992
⇒ b = 49
Answer:
b = 49 cm
Step-by-step explanation:
Volume of a rectangular prism: length × width × height
V = L×W×H
v = 48,608 cm³l = b cmw = 16 cmh = 62 cmSubstitute the values above and solve for b:
48,608 = b × 16 × 62
48,608 = 992b
48,608/992 = 992b/992
49 = b
Final answer: 49 cm
Hope this helps!
A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two sets of data?
The standard deviation statistic should use to measure the spread of the two sets of data.
What is the standard deviation?
It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
As we know, the shape of a normal curve is dictated by its mean and standard deviation, hence standard deviations are important.
Thus, the standard deviation statistic should use to measure the spread of the two sets of data of snowfall which is collected by the scientist.
Learn more about the standard deviation here:
brainly.com/question/12402189
#SPJ1
Please help me ASAP!!!!!
Step-by-step explanation:
when you are on that level of math that you get this type of question - this is totally easy.
we get the extreme point(s) of a function by finding the zeros of the first derivative of the function.
f'(x) = 4x - 8
so,
0 = 4x - 8
8 = 4x
x = 2
to determine whether it is a minimum or a maximum, we have 2 choices :
the quick way for a quadratic (parabola) equation by looking at the factor of x² : is it >0, then the parabola opens up upwards, and the extreme point is therefore a minimum. if it is <0, then it opens downward, and the extreme point is a maximum.
in our case : 2 is larger than 0, therefore minimum.
or the formal way for any type of function : create the second derivative and see, if it is >0 (minimum) or <0 (maximum) for the extreme x.
in our case
f''(x) = 4
this is larger than 0 for all x, so the extreme point is a minimum.
Change the function f(x) = 2x ^ 2 + 8x + 5 into vertex form.
Answer:
[tex]f(x)=2(x+4)^2-27[/tex]
Step-by-step explanation:
Complete the square
[tex]f(x)=2x^2+8x+5\\f(x)=2(x^2+8x+\frac{5}{2})\\f(x)+2(\frac{27}{2})=2(x^2+8x+\frac{5}{2}+\frac{27}{2})\\f(x)+27=2(x^2+8x+16)\\f(x)+27=2(x+4)^2\\f(x)=2(x+4)^2-27[/tex]
This tells us that the vertex of the parabola is [tex](-4,-27)[/tex].
Select the correct answer. if you roll a single six-sided die, what is the probability of rolling an odd number? a. b. c. d. 3
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
P(odd number)= [tex]\frac{3}{6}[/tex]
=[tex]\frac{1}{2}[/tex]
Select the correct answer. which sum or difference is modeled by the algebra tiles? a. (-x2 2x 3) − (x2 − 2x − 1) = -2x2 2 b. (-x2 2x 3) − (-x2 2x 1) = -2x2 2 c. (-x2 2x 3) (-x2 2x 1) = -2x2 2 d. (-x2 2x 3) (-x2 − 2x − 1) = -2x2 2
The sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2
How to determine the sum or difference?From the complete question, we have the following expressions:
(-x²+2x+3) and (-x²-2x-1)
Add both expressions
(-x²+2x+3) + (-x²-2x-1)
Expand
-x²+2x+3 -x²-2x-1
Collect the like terms
-x² -x² + 2x - 2x + 3 -1
Evaluate the like terms
-2x²+2
Hence, the sum or difference modeled by the algebraic tiles is (-x²+2x+3) + (-x²-2x-1) = -2x²+2
Read more about expressions at:
https://brainly.com/question/723406
#SPJ4
To make 3 litres of pale purple paint you mix:
1.5 litres red
1.25 litres of blue
0.25 litres of white paint.
a How much red paint is needed to make 8 litres of paint?
Answer:
4 litres.
Step-by-step explanation:
By proportion that would be:
1.5 * 8/3
= 12/3
= 4 litres.
Someone please helppp
your friend house is 6.4 miles north and 12 miles west of your bank. how far is your friends house from your bank
Answer:
the answer is 76.8
Step-by-step explanation:
multiple of the number
Instructions
For this activity, you will need two different coins. First, you will determine the theoretical probability of events. Then, you will flip the coins 100 times and determine the experimental probability of the events.
Flip two different coins 100 times, and record the results of each coin toss in a table like the one below:
Result
Frequency
Two heads 30
Two tails 40
One head, one tail 70
Answer the following questions based on the data you gathered. You must show your work to receive credit.
What is the theoretical probability that a coin toss results in two heads showing?
What is the experimental probability that a coin toss results in two heads showing?
What is the theoretical probability that a coin toss results in two tails showing?
What is the experimental probability that a coin toss results in two tails showing?
What is the theoretical probability that a coin toss results in one head and one tail showing?
What is the experimental probability that a coin toss results in one head and one tail showing?
Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?
The experimental probability that a coin toss results in two heads showing is 3/14
The theoretical probability of two headsThe sample space of two coins is:
S = {HH, HT, TH, TT}
In the above sample space, we have:
n(HH) = 1 i.e. number of two headsTotal = 4 i.e. the sample sizeThe theoretical probability of two heads is calculated as:
P = n(HH)/Total
This gives
P = 1/4
Hence, the theoretical probability of two heads is 1/4
The experimental probability of two heads?To do this, we make use of the table in the question
The table is given as:
Result Frequency
Two heads (HH) 30
Two tails (TT) 40
One head, one tail (HT) 70
Total 140
The experimental probability of two heads is calculated as:
P = n(HH)/Total
This gives
P = 30/140
Simplify
P = 3/14
Hence, the experimental probability of two heads is 3/14
The theoretical probability of two tailsUsing the sample space in (a), we have:
n(TT) = 1 i.e. number of two tailsTotal = 4 i.e. the sample sizeThe theoretical probability of two tails is calculated as:
P = n(TT)/Total
This gives
P = 1/4
Hence, the theoretical probability of two tails is 1/4
The experimental probability of two tailsFrom the table in the question, we have:
Two tails (TT) =40
Total = 140
The experimental probability of two tails is calculated as:
P = n(TT)/Total
This gives
P = 40/140
Simplify
P = 2/7
Hence, the experimental probability of two tails is 2/7
The theoretical probability of one head and one tailUsing the sample space in (a), we have:
n(HT) = 2 i.e. number of one head and one tailTotal = 4 i.e. the sample sizeThe theoretical probability of one head and one tail is calculated as:
P = n(HT)/Total
This gives
P = 2/4
Simplify
P = 1/2
Hence, the theoretical probability of one head and one tail is 1/2
The experimental probability of one head and one tailFrom the table in the question, we have:
One head one tail (HT) = 70
Total = 140
The experimental probability of one head one tail is calculated as:
P = n(HT)/Total
This gives
P = 70/140
Simplify
P = 1/2
Hence, the experimental probability of one head one tail is 1/2
Why are there difference between the theoretical probabilities and the experimental probabilities?The reason for the difference between the probability types is because one is as a result of an actual experiment, while the other is an estimate of the experiment.
Read more about probability at:
https://brainly.com/question/251701
#SPJ1
Ricki Charges $ 10.45 an hour for her new labor. This job took her 13 hours. What is the new total for the job, including material costs and labor?
what is the slope of the line that passes through (4,-9) and
(1,3)?
Answer:
slope = - 4
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 9 ) and (x₂, y₂ ) = 1, 3 )
m = [tex]\frac{3-(-9)}{1-4}[/tex] = [tex]\frac{3+9}{-3}[/tex] = [tex]\frac{12}{-3}[/tex] = - 4
Answer:
[tex]m=-4[/tex]; the slope is -4
Step-by-step explanation:
[tex]slope=\frac{rise}{run} =\frac{y^2-y^1}{x^2-x^1}[/tex]
coordinates: (4,-9) (1,3)
[tex]\frac{3-(-9)}{1-4}=\frac{-12}{-3} =-4[/tex]
= -4 is your answer
hope this helped
~rere
Write (9,-4) and (1,6) in slope intercept form,
Answer:
y = -5/4x + 7 1/4
Step-by-step explanation:
The difference in y (10) over the difference in x (8)
A 500-room hotel collects $80 per occupied room each night. which expression represents the number of dollars the hotel collects on a night when v rooms are vacant?
If the radius of the circle is 14 meters,find the length of arc RS
a)28.34m
b)64.32m
c)37.7m
d)9m
e)18m
Answer:
a) 28.34 m
Step-by-step explanation:
Finding ∠RQS :
180° - 64°116°Length of arc RS :
2πr × θ/3602 x 22/7 x 14 x 116/36044 x 2 x 29/9088 x 29/902552/9028.34 mI need some help answering this
Answer:
Θ = 50°
Step-by-step explanation:
Using the cofunction identity
tan(90 - x)° = cotx°
Given
cot40°, then
tan Θ = tan(90 - 40)° = tan50°
Thus Θ = 50°
If X=3 and y= -2, find xy + 2y.
-2
-9
-10
-1
Answer:
-10 is the answer
Step-by-step explanation:
[tex]xy + 2y \\ putting \: the \: value \: of \: x \: and \: y \\ 3 \times ( - 2) + 2 \times ( -2 ) \\ - 6 - 4 \\ = - 10[/tex]
look at the picture to solve it
Answer:
6^7
Step-by-step explanation:
To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 13 to get 7.
Answer:
6^7
Step-by-step explanation:
6^13/6^6 = 6^7
1) If the diameter of a circle is changed from 8 cm to 4 cm, how will the circumference change?
A) increases by a factor of 2
B) decreases by a factor of 2
C) increases by a factor of 4
D) decreases by a factor of 4
Answer:
the answer is B.
Step-by-step explanation:
the formula for circumference of a circle is [tex]\pi[/tex]×diameter=C
[tex]\pi[/tex]·8=25.13
[tex]\pi[/tex]·4=12.56
12.56·2=25.13
The descriptive statistics are shown.
Analyzing Misleading Graphs and Reports
Compare the measures. Describe what these measures indicate about the shape of the box-and-whisker plot.
The median is always at the center of the box, we can say the median of our question is also at the middle of the box.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The description of the measures given has been done below and also what they indicate about the shape of the box and whisker plot have been given.
From the given data we see that;
Mean = 39,500
Median = 20000
Mode = 23000
Minimum = 15,000
Maximum = 255000
A general view of a box and whisker plot has been attached.
From the attached file, we can see the following;
- whiskers to the left and right of the box.
- The box starts from the lower quartile and stops at the upper quartile.
- The median is at the middle of the box
- The minimum is at the end of the left whisker
- The maximum is at the end of the right whisker.
1) Now, since median is always at the center of the box, we can say the median of our question is also at the middle of the box.
2) The median is 20000 but the minimum which is the end of the left whisker is 15000 while the maximum which is the end of the right whisker is 255000. This means the minimum is very close to the median and as such the left whisker would be very short. In contrast, the right whisker will be very long since the maximum is far larger than the median.
3) Since the right whisker is far larger than the left whisker, then we can say the shape of the box and whisker plot is heavily skewed to the right.
To know more about graphs follow
https://brainly.com/question/25020119
#SPJ1
An unfair coin is twice as likely to land "Heads" as "Tails". If the coin is tossed twice, what is the probability that it will land "Tails" both times?
Please help me with this question
Answer:
difference between town A and town B is 5.4 deg. celcius
Step-by-step explanation:
I added each row and divided by 5 to get the average for A and B
I subtracted the average
see attached picture showing the math