Answer:
Starting with 0, the difference in the corresponding terms in the two patterns increases by 2.
Step-by-step explanation:
P Q Difference
1 40 40 0
2 38 36 2
3 36 32 4
4 34 28 6
5 32 24 8
6 30 20 10
7 28 16 12
8 26 12 14
9 24 8 16
10 22 4 18
==================
Answers are:
Excluding the first term, a term in Pattern P is always 2 greater than its corresponding term in Pattern Q.
Excluding the first term, a term in Pattern Q is always 4 greater than its corresponding term in Pattern P.
Starting with 0, the difference in the corresponding terms in the two patterns decreases by 4.
Starting with 0, the difference in the corresponding terms in the two patterns increases by 2.In a recent survey, 2\3 of the students
said they rode the bus to school.
There were 24 students who took
the survey. How many said that they
rode the bus to school?
Answer:
16
Step-by-step explanation:
2/3 of 24 students
2/3 * 24 = 16
Mary put $2225.50 into an investment at 1.2% for eight years. What will the balance be at the end of eight years? ( what is the total amount of the investment plus interest after 8 years?) round to the nearest hundreth.
interest: $_____
+$2,225.50
=$____(total)
Answer: $2400
Step-by-step explanation:
$2225.50 x 1.2% = $26.71 + $2225.50 = $2252.21 - Year 1
$2252.21 x 1.2% = $27.03 + $2252.21 = $2279.23 - Year 2
$2279.23 x 1.2% = $27.35 + $2279.23 = $2306.58 - Year 3
$2306.58 x 1.2% = $27.68 + $2334.26 = $2334.26 - Year 4
$2334.26 x 1.2% = $28.01 + $2362.27 = $2362.27 - Year 5
$2362.27 x 1.2% = $28.35 + $2362.27 = $2390.62 - Year 6
$2390.62 x 1.2% = $28.69 + $2390.62 = $2419.31 - Year 7
$2419.31 x 1.2% = $29.03 + $2419.31 = $2448.34 - Year 8
Rounded to the nearest 100th = $2400
the radius of a circle is 10.8ft the length of a chord is 12ft what is the approximate distance of the chord from the center of the circle
Answer:
9.0 ft (nearest tenth)
Step-by-step explanation:
The chord is the base of an isosceles triangle with sides of the radius.
To calculate the approximate distance of the chord from the center of the circle, we need to find the height of this triangle.
[tex]\sf height=\sqrt{s^2-(\frac{b}{2})^2}[/tex]
(where s is the side length and b is the base length of an isosceles triangle)
Given:
s = radius = 10.8 ftb = chord = 12 ft[tex]\begin{aligned}\implies \sf height & =\sqrt{10.8^2-\left(\frac{12}{2}\right)^2}\\ & = \sqrt{116.64-36}\\ & = \sqrt{80.64}\\ & = 8.979977728...\\ & = 9.0\: \sf ft\:(nearest\:tenth) \end{aligned}[/tex]
Perpendicular=P=?
Apply Pythagorean theorem
P²=H²-B²P²=10.8²-6²P²=80.64P=8.97P≈9ftcos^2-sin^2=1/3
so what is cos^4-sin^4
Step-by-step explanation:
[tex]cos ^{2} x - \sin ^{2} x = \frac{1}{3} [/tex]
[tex] \frac{(cos ^{2}x - \sin ^{2} x)(cos ^{2}x + \sin ^{2} x)}{(cos ^{2}x + \sin ^{2} x)} = \frac{1}{3} [/tex]
[tex] \frac{(cos ^{4}x - \sin ^{4} x)}{1} = \frac{1}{3} [/tex]
as cos²x+sin²x=1
Hence
cos⁴x-sin⁴x=1/3
The figure is a parallelogram. Find the missing measures. Enter the number only. No symbols. ( can someone help me please, i will give brainliest)
Parallelograms have 2 pairs of congruent, parallel sides, and opposite angles that are congruent.
If side KL = 31, then its opposite side, side MN, must also be 31.
If angle N = 119 degrees, then its opposite angle, angle L must also be 119 degrees.
Angle L and Angle K are on the same side of the parallelogram, which means that they are supplementary angles (add up to 180).
119 + K = 180
Angle K = 61 degrees
Hope this helps!
Which of the following inequalities matches the graph?

Answer:
y≥-1
Step-by-step explanation:
First you have to find out whether the inequality has x or y. You can first look at the x coordinate -1. This means that x will always be equal to -1. If you look at the graph than you can see that x is only equal to -1 at one place. So now you know that y is in the inequality. To tell whether this graph is greater than or less than you can look at the line and see whether the shaded section is to the positive side or the negative side. You can see that the shaded area goes in the positive direction so you know that it is greater than.
Mahmood Qamber and Basel Alaraibi start walking at the same point, but Mahmood walks 50 feet north while Basel walks 75 feet east. How far apart are Mahmood and Basel when they stop?
Answer:
they are about 90 feet far apart from each other
Step-by-step explanation:
Here you can use the Pythagorean theorem :
[tex]\sqrt{50^{2}+75^{2}} =\sqrt{8125}[/tex]
[tex]=90.1387818866[/tex]
Please HALP MEEEEEEE
Answer:
18[tex]\frac{3}{4}[/tex]cm^3
Step-by-step explanation:
The radius of a cylinder is 3 yards, and the total surface area is 320 square yards. Which of the following is the closest to the height of the cylinder in yards?
A) 14.0 yd
B )20.0 yd
C )15.5 yd
D) 17.0 yd
Answer:
its A 14.0
Step-by-step explanation:
It takes 102 pounds of seed to completely plant a 12 -acre field. How many acres can be planted per pound of seed?
Answer:
8.5 acres
Step-by-step explanation:
12 pound = 102
1 pound= 102/12= 8.5
So we can plant 8.5 acre field with 1 pound of seed.
Please give me brainliest . :-)
Find the length x.
3.5
2.5
0
5
X
Answer:
x
=
3.5
=
2.5
=
0
=
5
X
=
Step-by-step explanation:
39
The school band held a fundraiser by selling books and magazines. The diagram shows that
the numbers of books Donna and Gemma each sold are proportional to the numbers of
magazines each girl sold.
DONNA
GEMMA
KEY
= 1 Book
= 1 Magazine
What is the constant of proportionality?
A
magazine per book
B books per magazine
24 - Doano reapazine
8 Doana
36 - Genma magazines
12 – Generes boole
,
book
С
3 magazines per book
D
6 books per magazine
the answer is C 3 magazines per book
a_n=
a
n
=
\,\,-5+10(n+1)
−5+10(n+1)
Answer:
that makes no sense
Step-by-step explanation:
Indicate the equation of the given line in standard form. Write the answer in the equation box below.
The line containing the hypotenuse of right triangle ABC where A (–5, 5), B (1, 1), and C (3, 4) are the vertices.
Answer:
x + 8y - 35 = 0.
Step-by-step explanation:
The hypotenuse is the line joining A and C.
Slope = (4-5) / (3 + 5)
= -1/8.
Equation is:
y - 4 = -1/8(x - 3)
y - 4 = -1/8x + 3/8
1/8x + y - 35/8 = 0
x + 8y - 35 = 0
What is formula for Standard Deviation (σ)
In Individual series
☙[tex] \huge \mathfrak{\pink{ \fbox{ \green{S.D}}}}[/tex]
Answer:
[tex]sd = \sqrt{ \frac{ fx {}^{2} }{f} - ( \frac{fx}{f}) {}^{2} } [/tex]
The population of bulgaria has been decreasing at an annual rate of 0.89%. if the population of bulgaria was about 7,450,349 people in the year 2005, predict its population in the year 2015.
Answer:
i have uploaded an answer i have found from the internet hope this helps :)
Step-by-step explanation:
The population standard deviation for the price of the Big Mac is six cents. If
we want to be 82% confident that the sample mean price is within three cents
of the true population mean price, how many randomly selected stores must
be analyzed?
Round your answer up to the whole number, i. E. , 4. 02 stores will be rounded
to 5 stores.
Using the z-distribution, as we have the standard deviation for the population, it is found that 8 stores must be analyzed.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have an 82% confidence level, hence[tex]\alpha = 0.82[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.82}{2} = 0.91[/tex], so the critical value is z = 1.34.
The standard deviation for the population is of [tex]\sigma = 0.06[/tex], and we want a margin of error of M = 0.03, hence we solve for n to find the sample size needed.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.03 = 1.34\frac{0.06}{\sqrt{n}}[/tex]
[tex]0.03\sqrt{n} = 1.34 \times 0.06[/tex]
Simplifying by 0.03:
[tex]\sqrt{n} = 1.34 \times 2[/tex]
[tex](\sqrt{n})^2 = (1.34 \times 2)^2[/tex]
[tex]n = 7.2[/tex]
Rounding up, 8 stores must be analyzed.
More can be learned about the z-distribution at https://brainly.com/question/25890103
What type of quadrilateral is this? Select all that apply.
options:
parallelogram
rhombus
rectangle
square
Answer:rhombus
Step-by-step explanation: Its a square but one of the corners is holding it up and all sides are equal it might not seem at first but its an rhombus for sure!
Hope i helped
What is the sum of 4x and 7?
A. 4x+7
B. 3x
C. 11x
D. 3
Answer:
A. 4x+7
Step-by-step explanation:
What is the sum of 4x and 7?
Add 4x + 7
A. 4x+7B. 3x
C. 11x
D. 3
Answer:
A. 4x+7
Step-by-step explanation:
4x has x-term as a variable while 7 only remains as a constant. Therefore, you cannot combine both terms as 11x since 4x and 7 are not like term.
Like terms are terms that have same variables and degrees. Some examples are:
2x and x are like term.3x and 8x are like term.Non-like terms are terms that have different variables and degree. Some examples are:
x and y are not like term.x² and x are not like term.Like terms operation:
2x + x = 3x4x + 5x = 9x9z + 2z = 11zNon-like terms operation:
2x + 3y remains as itself.sum of 4 and 7x is 4 + 7x.Let me know if you have any questions.
How many solutions does this equation have? 6x + 9 = 3x + 9
Answer:
Step-by-step explanation:
If an equation for example is x=5, the equation has one solution. If the equation is for example 4=4, there is an infinite amount of solutions. for your problem we would simplify the equation to get:
6x+9=3x+9
6x=3x
when dividing the x's to cancel eachother out we are left with 6=3. This means we have no solutions possible.
Answer:
in every way it's possible answer is 0!!
Step-by-step explanation:
method 1:
6x-3x=9-9
3x=0
x=0/3
x=0
method 2:
0=3x-6x+9-9
0=-3x
x=0
check
6*0+9=3*0+9
9=9
proved
Which of the following statements is true of 9 and -9?
Answer:
2&3
Step-by-step explanation:
They have the same absoulte value
You have to go 18 numbers to get from each other.
They are opposite numbers.
One is negative and one is positive.
Hope it Helps
Express in simplest form.
Answer:
[tex]3a^{2} b^{2} -6a[/tex]
Step-by-step explanation:
[tex]\frac{15a^{3}b(3ab^{2}-6 ) }{15a^{2} b}[/tex] take [tex]15a^{3}[/tex]b common
[tex]=3a^{2} b^{2}-6a[/tex] cancel like terms
What is the equation of the line that is perpendicular to y = one-fifth x + 4 and that passes through (5,–4)?
On a coordinate plane, a line goes through (0, 4) and (5, 5). A point is at (5, negative 4).
y = negative 5 x minus 29
y = negative 5 x + 21
y = one-fifth x minus 4
y = one-fifth x minus 5
Answer:
2nd option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{5}[/tex] x + 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{5} }[/tex] = - 5 , then
y = - 5x + c ← is the partial equation
to find c substitute (5, - 4 ) into the partial equation
- 4 = - 25 + c ⇒ c = - 4 + 25 = 21
y = - 5x + 21 ← equation of perpendicular line
The box plots display the same data for the number of crackers in each snack bag, but one includes the outlier in the data and the other excludes it. 4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21 number of crackers in each bag, with outlier a number line goes from 0 to 26. the whiskers range from 4 to 21, and the box ranges from 15 to 20. a line divides the box at 16. number of crackers in each bag, without outlier a number line goes from 0 to 26. the whiskers range from 14 to 21, and the box ranges from 15 to 20. a line divides the box at 17. which statement comparing the box plots is true? both the median and the range changed. both the range and the lower quartile changed. both the median and the interquartile range changed. both the interquartile range and the lower quartile changed.
Both the median and the range changed, the correct option is A.
What is the median?Median, in statistics, is the middle value of the given list of data, when arranged in an order.
The data set that contains the outlier is given as:
4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21
The minimum value of the data is: 4
The median or middle quartile i.e. [tex]\rm Q_2[/tex] is the central tendency of the data and exists in the middle of the data.
The median is: 16
Also, the lower set of data is:
4,14,15,15,16
The lower quartile i.e. [tex]\rm Q_1[/tex] is the median of the lower set of data.
The lower quartile i.e. [tex]\rm Q_1[/tex] = 15
Similarly, the upper set of data is:
18, 19, 20, 20, 21
the upper quartile i.e. [tex]\rm Q_3[/tex] is the median of the upper set of data.
upper quartile i.e. [tex]\rm Q_3[/tex] = 20
Also, the interquartile range is:
[tex]\rm Q_3-Q_1=20-15=5[/tex]
The maximum value of the set is 21.
Range = Maximum value-Minimum value =21 - 4 = 17
As we know that 4 is the outlier of the data as it is the smallest as compared to all the data points.
After removing the outlier the data set is:
14, 15, 15, 16, 16, 18, 19, 20, 20, 21
The minimum value of the set =14
The maximum value of set =21
Range = Maximum value-Minimum value =21-14 = 7
Hence, Both the median and the range changed.
To know more about median and range click the link given below.
https://brainly.com/question/9045470
Ian's house and land have a market price of $225,000 and an assessed value of 55% of that amount. his state has a property tax rate of 0.088. how much does ian pay in property tax every year? a. $19,800 b. $18,900 c. $10,890 d. $8,910
Ian pay $10,890 in property tax every year if the assessed value of 55% of that amount and his state has a property tax rate of 0.088 option (c) is correct.
What is property tax?It is defined as the amount paid by the owner of the property such as land, buildings etc.
We have:
Lan's house and land have a market = $225,000
Assessed value = 55% ⇒ 0.55
Property tax rate = 0.088
We know the formula for property tax is given by:
Property tax = tax rate×assessed value×market value
Put the values in the above formula, we get:
Property tax = 0.088×0.55×225000
= $10,890
Thus, Ian pay $10,890 in property tax every year if the assessed value of 55% of that amount and his state has a property tax rate of 0.088.
Learn more about the property tax here:
https://brainly.com/question/15227817
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units? (x – 3)2 (y – 5)2 = 6 (x – 3)2 (y – 5)2 = 36 (x 3)2 (y 5)2 = 6 (x 3)2 (y 5)2 = 36
The equation of the circle is (x + 3)² + (y + 5)² = 36. Then the correct option is B.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The center of a circle at (–3, –5) and a radius of 6 units. Then the equation will be given as
(x + 3)² + (y + 5)² = 6²
(x + 3)² + (y + 5)² = 36
Then the equation of the circle is (x + 3)² + (y + 5)² = 36.
More about the circle link is given below.
https://brainly.com/question/11833983
Answer:
D
Step-by-step explanation:
I did it B)
The data set represents the length, in inches, of some crayons.
4342
3222
2434
Click above the number line to create a dot plot for the data set
Answer:The data set represents the length, in inches, of some crayons.
4342
3222
2434
Step-by-step explanation:
Rodrigo is helping make mashed potatoes for Thanksgiving. He plans to add 4 fluid ounces of heavy cream to his potatoes. If he buys a 1-pint carton, how many fluid ounces will he have left?
copy the given expression on your answer sheet
HELP PLEASE FOR 20 POINTS!!
Toby is x years old. Seth is y years old. Seth is three years less than twice as old as Toby. Which equation correctly relates the ages of Toby and Seth?
!!!!IF YOU GIVE ME A LINK OR NOT THE ANSWER ILL REPORT!!!!!!
Answer:
B) y = 2x - 3
Step-by-step explanation:
Seth's age = y
Twice as old as Toby = 2x
3 years less = -3
Hope this helps!
What is the surface area of an ice cream cone if the radius is 2 inches