An irrigation system waters in circular patterns.
Each irrigated section is a circle with a diameter
of 40 feet. It terms of n, what is the area of an
irrigated section?
(Brainliest will be given as soon as possible!) Pierre wants to know how many people he can count on to vote for him as the school newspaper editor. He takes a poll of 34 random students and finds that 5 said they would vote for him.
If there are 272 students who will vote at the school, what would be Pierre’s best prediction for how many votes he can expect to receive?
The best prediction for the number votes Pierre should expect to receive is 40 votes
Calculating the number of vote
From the question, we are determine the best prediction for the number of votes Pierre should expect to receive
From the given information,
He takes a poll of 34 random students and finds that 5 said they would vote for him
Then, we can assume that,
Out of every 34 random students, 5 would vote for him
The total number of students that will vote = 272
There are eight 34s in 272
NOTE: 272 ÷ 34 = 8
Then, he should expect 8 × 5 votes
8 × 5 votes = 40 votes
Hence, the best prediction for the number votes Pierre should expect to receive is 40 votes
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The fourth term of an arithmetic sequence is 20, and the 13th term is 65. Find the sum of the first 13 terms
Answer:
S₁₃ = 455
Step-by-step explanation:
the sum to n terms of an arithmetic is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
We require to find both a₁ and d
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
given a₄ = 20 and a₁₃ = 65 , then
a₁ + 3d = 20 → (1)
a₁ + 12d = 65 → (2)
subtract (1) from (2) term by term to eliminate a₁
9d = 45 ( divide both sides by 9 )
d = 5
substitute d = 5 into (1) and solve for a₁
a₁ + 3(5) = 20
a₁ + 15 = 20 ( subtract 15 from both sides )
a₁ = 5
Then
S₁₃ = [tex]\frac{13}{2}[/tex] [ (2 × 5 ) + (12 × 5 ) }
= 6.5 (10 + 60)
= 6.5 × 70
= 455
Aswer the following using matrices suppose that there are two internet service providers in Kabwe, Eyeconnect and Topconnect. Currently, Eyeconnect has 180 000 customers and Topconnect has 120 000 customers. Assume that, every year, 10% of the customer base of Eyeconnect switches to Topconnect and 5% of the customer base of Topconnect switches to Eyeconnect. For the purposes of this question, suppose no customer leaves a company without switching to the other one and no company attracts customers that are not leaving the other (that is, the only changes in customer base come from switching between the two companies). a) Find the number of customers of Eyeconnect and Topconnect after one year. b) Find the number of customers of Eyeconnect after many years.
Answer:
Sorry
Step-by-step explanation:
What is square root, extra points for example.
Answer:
A square root is a factor of a number that, when multiplied by itself, gives the original number. An example is √9 = 3
Hope this helped! I would appreciate a Brainliest!
Answer:
The square root is the answer to an equation with two number multiplied by itself. Say for example, b/a = a, a is the square root of b. Let's say b = 144 and a = 12, 12 would be the square root of 144.
Step-by-step explanation:
Example 1:
144/12 = 12
12 is the square root of 144
Example 2:
64/8 = 8
8 is the square root of 64
Example 3:
81/9 = 9
9 is the square root of 81
Please answer asap!!! i need help w these
2. A display window consists of a stacked pyramid of books for sale. The bottom row has 57
books. Each row has three fewer books than the row below it. The display has 13 rows.
a.) Write the formula you learned in this unit needed to determine how many books are in
the top row of the display. (2 pts)
b.) What is the common difference of the sequence? d =
Show how you found this value. (1 pt)
c.) Use the formula you listed in step (a) to determine how many books are in the top row
of the display. Show all steps needed to solve and provide the final answer. (2 pts)
YTYY
d.) Write the formula leared in this unit needed to determine the number of books in the
entire display. (1 pt)
a.) What is the value of n? (1 pt)
(1 pt)
b.) Use the formula you listed in step (d) to determine the total number of books. Show all
steps needed to solve and provide the final answer. (2 pts)
The common difference on the sequence is -3 and the number of books will be 21.
How to illustrate the sequence?The formula that can be used to calculate the number of books will be:
= a + (n - 1)d
= 57 + (13 - 1)-
= 57 + (12 × -3)
= 57 - 36
= 21
Also, from the information given, each row has three fewer books than the row below it. Therefore, the common difference is -3.
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40 POINTS!!!!!!!!!!!!!!!!!!!!
Answer:
Shaded square 1: 4
Shaded square 2: 6
Shades square 3: 2
*Sorry all I can get at the moment is the shaded squares I'm still a little new to this
Step-by-step explanation:
Factor the expression
7x^2 + 50x + 7
(Type your answer in factored form.)
Answer: (7x + 1)(x + 7)
Step-by-step explanation:
[tex]$$Factor the following:$$7 x^{2}+50 x+7$$Factor the quadratic $7 x^{2}+50 x+7$. The coefficient of $x^{2}$ is 7 and the constant term is 7. The product of 7 and 7 is 49 . The factors of 49 which sum to 50 are 1 and 49. So:\\\\ $7 x^{2}+50 x+7\\=7 x^{2}+49 x+x+7\\=7(7 x+1)+x(7 x+1)$ \\\\Factor $7 x+1$ from $7(7 x+1)+x(7 x+1)$ :$$\\\\Answer:(7 x+1)(x+7)$$[/tex]
The probability of event A is x, and the probability of event B is y.
If the two events are independent, which condition must be true?
A.
P(AlB)=x
B.
P(BlA)=xy
C.
P(BlA)=x
D.
P(AlB)=y
Personal comment- Just to note, I saw two different answers for this one which were P(BlA)=xy and P(BlA)=y. I’m not sure who was correct. I saw an expert verified answer with only bout 40-ish “Thanks” but the other one was not an expert verified and it have bout 230 “Thanks”. I’m hesitant on which to go with. PLEASE HELP. I will send 50 extra brainliest if you give answer, and explain, AND if I get it right on the test. The last part is the only way to get extra. If you put in a random answer just to get easy brainliest, I will report to brainly moderators and have your question taken down, you will get your first and final warning (unless you have already gotten one which in this case your account will be banned) and you will lose brainliest points. I, and the Brainly community guidlines states that there is a ZERO TOLERANCE POLICY for any incorrect, unexplained, disrespectful answers.
Answer:
A. P(A l B) = x
Step-by-step explanation:
For independent events A and B,
P(B | A) = P(B)
P(A | B) = P(A)
P(A ∩ B) = P(A)P(B)
If P(A) = x and P(B) = y then:
⇒ P(B | A) = y
⇒ P(A | B) = x
⇒ P(A ∩ B) = xy
Therefore, the correct solution from the options given is:
A. P(A l B) = x
Solve ln (3x + 7) = 1. Round to the nearest thousandth.
Answer:
x = -2
Step-by-step explanation:
Step 1: Subtract 7 from both sides.
3x+7−7=1−7
3x=−6
Step 2: Divide both sides by 3.
3x/3 = −6/3
x = −2
Please help
Determine whether the situation illustrates a correlation or causation. Explain your reasoning.
Hae notices that the lower the daily temperature is, the less time she spends outside.
The situation illustrates a ______,
because lower temperatures _________,
Hae to stay indoors.
1st options: causation, correlation
2nd options: do not cause, likey cause
1st-causation i think bc its a cause for thim not to go outside
2nd-likely cause i put likely cause bc it says its low temp. and he said low tempetures cause his to stay inside.
If you jog at a rate of 9 kilometers per hour, how long will it take you to
finish a 15-kilometer run?
Answer:
1.66667
Step-by-step explanation:
9------1
15-----?
We divide 9 by 9 to get 1 so we divide 15 by 9 to get ?
15 / 9 = 1.66667
Answer:
5/3 hours ( answer in fraction )
1.66 hours ( answer in decimal )
Step-by-step explanation:
Given,
Distance ( d ) = 15 kilometer ( 15 km )
Velocity ( v ) = 9 kilometers per hour ( 9 km / h )
To find : Time ( t )
Formula : -
v = d / t
t = d / v
= 15 / 9
t = 5/3 hours
( or )
t = 1.66 hours ( approximately )
Note : -
1. If the sentence " rate of kilometers " is there, then it is velocity.
2. If the sentence " How long will it take " is there, then it is time.
Cathleen was looking at 13 different colors to paint her bedroom. She liked about 1/4 of the colors.About how many colors did she like
Answer:
3.25 rounded to 3
Step-by-step explanation:
If she liked 1/4 of the colors, then we would divided by 13 by 4 to get 3.25.
She can't like 1/4 of a color though, so we would round to 3.
What is 1637,984 rounded to the nearest ten
The number rounded to the nearest ten will be 1640. The number is grater than the 5 on the scale.
What are rule for finding a number rounded to the nearest ten?If the digit in the units place is between 0 and 10 i.e., 5, then the unit digit is substituted by 0.
If the digit in the units place is between 5 and 9, that is, > or 5 but less than 10, the units place is replaced by '0,' and the tens place is incremented by 1.
The given number is;
x=1637.984
The number is 7.9 grater than 5. So that the number is rounded to the nearest whole number,i.e.1640
Hence,the number rounded to the nearest ten will be 1640.
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Work out the sheet below
Answer:
188 meters cubed
Step-by-step explanation:
radius = 1/2d d=6 radius =3 height 20formula for thia equation is 1/3 (3.14)(3^2)(20)(3.14)(9)(20)3.14 x 9 = 28.2628.26 x 20 = 565.2565.2/3 = 188.40188.4 round to 3sf is 188100 POINTS if you can get it right! Please answer I'm so tired and want this to be over :(
Answer:
224 cm²
Step-by-step explanation:
Look at the figure below.
All sides are in cm. All areas are in cm².
Triangle A:
A = bh/2 = 8 × 21 / 2 = 84
Rectangle B:
A = LW = 9 × 8 = 72
Rectangle C:
A = LW = 4 × 5 = 20
Triangle D:
A = bh/2 = 6 × 16 / 2 = 48
Total area = 84 + 72 + 20 + 48 = 224
Answer: 224 cm²
The square root of a negative number can be expressed in?
Answer:
imaginary form
Step-by-step explanation:
So how we represent?
Let a number be -9
Find square root
√-9√9(-1)3√-13iSo
i stands for iota and has value √-1
Are the ratios 1:4 and 3:10 equivalent?
[tex]\pmb{AnSwEr\::}[/tex]
these ratios are not equivalent . Please consult "Explanation" for more details
[tex]\bold{ExPlAnAtIoN}\downarrow[/tex]
We can write the ratios 1 : 4 and 3 : 10 as fractions :
[tex]\text{$\displaystyle\frac{1}{4} $}[/tex]
and
[tex]\text{$\displaystyle\frac{3}{10} $}[/tex]
Put the fractions together :
[tex]\text{$\displaystyle\frac{1}{4} \:and\:\frac{3}{10}$}[/tex]
Both fractions are in their simplest form ; the numerator and denominator do not have any common factors , except 1 , and there's no point in dividing by 1.
[tex]\small\text{hope helpful ( : }[/tex]
what is 20.70% of 5,029,196
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20.70\% of 5029196}}{\left( \cfrac{20.70}{100} \right)5029196}\implies 1041043.572[/tex]
exponential equation
27x+4=9x
Answer:
answer is 45 trust me im passing this concept
Step-by-step explanation:
Answer:
x= -2/9
Step-by-step explanation:
step 1: isolate the variable
27x+4 = 9x
-9x. -9x
18x+4 = 0
-4. -4
18x = -4
step 2: isolate the variable by dividing both sides by the coefficient
18x = -4
÷18. ÷18
=
x = -2/9
(x is equal to negative 2 ninths)
I’m confused. Please help!!!
The values of r and w will be 50 and 140 degrees.
What is the Exterior Angle of a Triangle Property?An exterior angle of a triangle is equal to the sum of the opposite interior angles.
From the Exterior Angle of a Triangle Property;
38° + 103° = w
w = 140°
Let x be the exterior angle so that
x = r + 90°
Similarly,
By vertically opposite angle;
w = x
So, x = r + 90°
140 = r + 90°
r = 140 - 90
r = 50
Hence, the values of r and w will be 50 and 140 degrees.
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what id the diameter lenght of
(x-7)^2+(y-2)^2=225
The diameter length is 30.
What is equation of circle?We know that the general equation for a circle is(x−h)²+(y−k)²=r²,
where ( h, k ) is the center and r is the radius.
As we know form of a circle.
We will use this form to determine the diameter of the circle.
(x−h)²+(y−k)²=r²
Given equation is :
(x-7)²+(y-2)²=225
(x-7)²+(y-2)²=(15)²
On comparing the above equation with the with equation of circle, we have
r²=(15)²
r=15
So, the diameter will be the twice the radius.
diameter= 2r
diameter= 2*15
diameter= 30
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help me pleaseeeeeeeeeeeeeeeeee
Since the figure is a trapezoid, we must use the trapezoid area formula, [tex]A = (b_1 + b_2) / 2 * h[/tex]. By doing so, we can plug in the shown numbers on the image. After that, we multiply.
[tex]A = (8 + 14) / 2 * 5[/tex]
[tex]A = 22/2 * 5[/tex]
[tex]A = 11 *5[/tex]
[tex]A = 55^2[/tex]
The area of the trapezoid is 55 squared yards.
Which graph shows only corresponding x-values and y-values where the value of y is 2 more than the product of x and 0.5?
Brittany graphs the point (6,3) on a coordinate grid. Which describes where she
should plot the point if she starts at the origin?
Answer:
Six units to the right and 3 units up.
Step-by-step explanation:
Answer:
Six units to the right and 3 units up
The sum of an arithmetic series where t1 = -2, t3 = 7, and n = 15 is
The sum of the arithmetic series with the parameters t1 = -2, t3 = 7, and n = 15 is 442.5
How to determine the sum of the series?The given parameters are:
t1 = -2
t3 = 7
n = 15
Start by calculating the common difference using:
Tn = t1 + (n- 1)d
So, we have:
7 = -2 + (3 - 1) * d
Evaluate
7 = -2 + 2d
Add 2 to both sides
2d = 9
Divide by 2
d = 4.5
The sum is then calculated using:
[tex]S_n = \frac n2 * (2a + (n - 1) * d)[/tex]
So, we have:
[tex]S_{15} = \frac {15}2 * (2*-2 + (15 - 1) * 4.5)[/tex]
Evaluate
[tex]S_{15} = 442.5[/tex]
Hence, the sum of the arithmetic series is 442.5
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My first question is: The LCM of 6 and 9 is_____
The second question is: The GCF of 21 and 35 is______
Answer:
3 and 7
Step-by-step explanation:
The LCM of 6 and 9 is 3
The GCF of 21 and 35 is 7
Kami is in charge of creating a five-digit code to lock and unlock a secure chamber. She can use any digit from 0 through 9, and she can use each digit as many times as she wants. She knows she wants to start the code with an even number.
How many possible codes that start with an even number could Kami create?
40,000 codes
50,000 codes
400,000 codes
500,000 codes
Using the Fundamental Counting Theorem, it is found that Kami could create 40,000 codes that start with an even number.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
The first digit has to be even, that is, 2, 4, 6 or 8, hence [tex]n_1 = 4[/tex].For the remaining digits there are 10 outcomes for each.Hence:
[tex]N = 4 \times 10^4 = 40000[/tex]
Kami could create 40,000 codes that start with an even number.
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Rewrite the function by completing the square.
f(x)=x^2-4x-26
Answer:
[tex](x-2)^2-30[/tex]
Step-by-step explanation:
use the form [tex]ax^2+bx+c[/tex] to find the values of a, b, and c.
[tex]a=1, b= -4, c = -26[/tex]
consider the vertex form of a parabola
[tex]a(x+d)^2+e[/tex]
substitute the values of a and b into the formula [tex]d=\frac{b}{2a}[/tex]
[tex]d=\frac{4}{2(1)}[/tex]
simplify the right side.
find the value of e using the formula [tex]e=c-\frac{b^2}{4a}[/tex]
[tex]e=30[/tex]
What is the rational number equivalent to 1.28?
Answer: 1 28/100 or 1 7/25
Step-by-step explanation: