Answer:
4,4,5,7,10
Step-by-step explanation:
this can be
4,4,5,7,10
5 is in the middle because 5 is median
4 appeared thrice cause it is the mode
and 10 is just there to give us our mean 6 because it is only 30/5 that gives 6 so we have to find 5 numbers whose sum gives 30
Answer:
The 5 numbers can be: 4, 4, 5, 8, 9.
Step-by-step explanation:
In 4, 4, 5, 8, 9. 5 is the median (The middle number).
The mode is 4 because 4 is the most repeated number.
(4+4+5+8+9)/5 is equal to 30/5 which equals 6. So, 6 is the mean.
Hope this helps! :)
Pam laid three times as many tiles on Saturday as she laid on Sunday. If Pam laid 80 tiles over the weekend altogether, how many tiles did she lay on Saturday?
Answer:
Pam laid 60 tiles on Saturday and 20 on Sunday.
Step-by-step explanation:
Given that Pam laid three times as many tiles on Saturday as she laid on Sunday, if Pam laid 80 tiles over the weekend altogether, to determine how many tiles did she lay on Saturday the following calculation must be performed:
3X + X = 80
4X = 80
X = 80/4
X = 20
Therefore, Pam laid 60 tiles on Saturday and 20 on Sunday.
Please help me with this
Answer:
120 in^2
Hope it helps
write the following expressions as an exponential term with a single base
(4*2^5)÷(2^3 *1/16)
Answer:
2^8
Step-by-step explanation:
(4*2^5)÷(2^3 *1/16)
[tex]\left ( 4\times 2^5 \right )\div \left ( 2^3\times \frac{1}{16} \right )\\\\2^7 \div 2^{-1}\\\\2^7\times 2^1\\\\2^8[/tex]
If 1 pint is equal to 2 cups, then 5 pints would equal how many cups
If 1 pint is equal to 2 cups then 5 pints equals 10 cups
5 times 2 equals 10.
Why does it say your phone is being attacked and then said something with 26 when I go on a website is it lying or do I have a virus?
Answer:
If you go to a website that has a red (or orange) triangle with an exclamation mark next to the link, it's an untrusted site. The things you list (your phone is being attacked and then said something with 26..) are likely to be scam ads (probably viruses). Therefore, I do not recommend you to click the ads or enter that site again.
What is the point-slope equation of a line with slope -3 that contains the point
(-8,-4)?
O A. y+ 4 = -3(x+8)
B. y+ 4 = -3(x-8)
C. y-4 = -3(x-8)
O D. y- 4 = -3(x+ 8)
Answer:
y + 4 = -3(x + 8)
Step-by-step explanation:
y + 4 = -3(x + 8)
Charity and her family are going on vacation to visit family over the summer. Their flight will last 6.94 hours. Charity says, "If we round this number, it is a seven-hour flight." Her sister says, "I think you're wrong. If we round it, it is 6.9-hour flight." Who is correct? Explain your reasoning.
Answer:
Charity is more correct
Step-by-step explanation:
Flight time = 6.94 hours
Charity estimation = 7 hours
Her sister's estimation = 6.9 hours
Charity is more correct if we are to round to the nearest whole hour
6.94 hours is approximately 7 hours
Her sister is only correct if we are to round up to 1 decimal place
6.94 hours is approximately 6.9 hours to 1 decimal place
Question 19 (5 points)
Determine the measure of
82.49
43.1°
55.0° °
46.3°
Answer: 43.1 degrees (choice B)
==================================================
Work Shown:
Use the law of sines
sin(A)/a = sin(C)/c
sin(A)/20 = sin(82)/29
sin(A) = 20*sin(82)/29
sin(A) = 0.68294349
A = arcsin(0.68294349)
A = 43.074088
A = 43.1 degrees
Answer:
43.1°
Step-by-step explanation:
Hello, just finished the quiz and the correct answer is 43.1 degrees.
I want to know the Answers
Step-by-step explanation:
this is the correct answer you wanted to know
please mark brainliest
help pls and explain!!!
If x^2 + kx + 6 = (x+n)(x + 3) for all values of x, where k and n are constants, what is the value of k?
A) 5
B) 3
C) 2
D) 1
Answer:
A) 5
Step-by-step explanation:
We are given that:
[tex]x^2+kx+6=(x+n)(x+3)[/tex]
Where k and n are constants.
And we want to find the value of k.
We can expand the right-hand side:
[tex]\displaystyle =x(x+n)+3(x+n)\\ \\ = x^2+nx+3x+3n \\ \\ = x^2 + (n+3)x+3n[/tex]
Hence:
[tex]x^2+kx+6=x^2+(n+3)x+3n[/tex]
The coefficients of each term must be equivalent. In other words:
[tex]k=n+3\text{ and } 6=3n[/tex]
Solve for n:
[tex]n=2[/tex]
Now, we can solve for k:
[tex]k=(2)+3=5[/tex]
Our answer is A.
3/4 ploted on a number line
Answer:
3/4 = 0.75
- 1 - 2 - 3 - 4
3/4 so its 321 colored
Step-by-step explanation:
A high school held an election for class president. Exactly 1,000 votes were cast and they were all for either Gillian or Clive. Gillian received 100 more votes than Clive. What percent of the 1,000 votes were for Gillian?
Answer: 60%
1000÷2=500
Clive: 500-100= 400
Gillian: 500+100= 600 (Because Gillian has 100 more votes than Clive)
[tex] \frac{600}{1000} \times 100\% = 60\%[/tex]
If Gillian received 100 more votes than Clive, Gillian received 55% of the 1,000 votes.
To determine the percentage of votes for Gillian out of the total 1,000 votes, we need to calculate the proportion of votes that Gillian received.
Given that Gillian received 100 more votes than Clive, we can set up the equation:
Votes for Gillian = Votes for Clive + 100
Let's denote the number of votes for Clive as C. Therefore, the number of votes for Gillian is C + 100.
The total number of votes is 1,000, so we have the equation:
C + (C + 100) = 1,000
Simplifying, we find:
2C + 100 = 1,000
2C = 900
C = 450
Therefore, Clive received 450 votes and Gillian received 450 + 100 = 550 votes.
To calculate the percentage of votes for Gillian, we divide her votes by the total votes and multiply by 100:
(550 / 1,000) * 100 = 55%
To learn more about percentage click on,
https://brainly.com/question/13228217
#SPJ2
If the 5th term in a geometric sequence is 162, and the common ratio is 3. What is the first term in the sequence?
======================================================
Explanation:
To get the 6th term, we multiply the fifth term by the common ratio
6th term = (fifth term)*(common ratio)
6th term = 162*3
6th term = 486
The 7th term is found by tripling 486, and so on.
To get the fourth term, we go in reverse of this process. We'll divide 162 by 3 to get 162/3 = 54
The third term is then going to be 54/3 = 18
The second term is 18/3 = 6
The first term is 6/3 = 2
-----------------------
Here's another way we can solve this question.
The nth term of a geometric sequence is a*(r)^(n-1)
We know that the common ratio is 3, so r = 3.
The 5th term is 162, meaning plugging n = 5 into that expression above leads to 162, so,
a*(r)^(n-1)
a*(3)^(n-1)
a*(3)^(5-1) = 162
a*(3)^4 = 162
a*81 = 162
81a = 162
a = 162/81
a = 2 is the first term
-----------------------
The first five terms of the geometric sequence are:
2, 6, 18, 54, 162
Each time we go from left to right, we're multiplying by 3. Going in reverse (right to left), we divide by 3.
Multiplying by 1/3 is the same as dividing by 3.
Find the measurement of ∠D and ∠C
Answer:
∠D = 125° and ∠C = 55°
Step-by-step explanation:
We should first solve for variable x, which should give us angle C, and then solve for angle D.
[tex]3x+15=180[/tex][tex]3x=165[/tex][tex]x=55[/tex]°Thus ∠C = 55°
Knowing that supplementary angles add to 180°, we set up the equation:
[tex]55+D=180[/tex][tex]D=125[/tex]°Thus ∠D = 125°
Sketch the graph of each of the following quadratic functions: (a) f(x) = -2x² + 7x + 4 for -1 ≤ x ≤ 5.
Help me with this ques pleasee,i'll mark u as the brainliest!!
Answer:
Please find attached the graph of the function created with MS Excel showing the relevant points required to draw an approximate graph of the function on a graph paper
Step-by-step explanation:
The given quadratic function is f(x) = -2·x² + 7·x + 4
The range of the input (x) values = -1 ≤ x ≤ 5
The coefficient of the quadratic is negative -2, the graph is n shape
The intercept form of the function is given as follows;
-2·x² + 7·x + 4 = -1 × (2·x² - 7·x - 4)
-1 × (2·x² - 7·x - 4) = -1 × (2·x² + x - 8·x - 4)
-1 × (2·x² + x - 8·x - 4) = -1 × (x · (2·x + 1) - 4·(2·x + 1))
∴ -1 × (x · (2·x + 1) - 4·(2·x + 1)) = -1 × (2·x + 1)·(x - 4)
∴ f(x) = -2·x² + 7·x + 4 = -1 × (2·x + 1)·(x - 4)
At the x-intercepts, (2·x + 1) = 0 or (x - 4) = 0, which gives;
x = -1/2 or x = 4
Therefore, the x-intercepts are (-1/2, 0), (4, 0)
The equation in vertex form is given as follows;
f(x) = -2·x² + 7·x + 4 = -2·(x² - 7·x/2 + 2)
By applying completing the squares method, to x² - 7·x/2 - 2, we get;
Where x² - 7·x/2 - 2
x² - 7·x/2 = 2
x² - 7·x/2 + (-7/4)² = 2 + (-7/4)² = 81/15
(x - 7/4)² = 81/16
∴ (x - 7/4)² - 81/16 = 0 = x² - 7·x/2 - 2
∴ x² - 7·x/2 - 2 = (x - 7/4)² - 81/16
-2·(x² - 7·x/2 + 2) = -2·((x - 7/4)² - 81/16) = -2·(x - 7/4)² + 81/8
The vertex = (7/4, 81/8)
When x = 0, we get;
f(0) = -2 × 0² + 7 × 0 + 4 = 4
The y-intercept = (0, 4)
The sketch of the function should pass through the x-intercepts (-1/2, 0), (4, 0), the y-intercept (0, 4), and the y-intercept (0, 4), and the vertex, (7/4, 81/8) on a graph sheet
Please find attached a drawing of the function of the function created with MS Excel
Simplificar 2/3+1/5+2/4
Answer:
41/30
Step-by-step explanation:
2/3 + 1/5 + 2/4
= 41/30
The side of an equilateral triangle is 22. Find the exact length of the altitude.
Use the exact value, meaning leave your answer with a radical.
PLEASE HELP THE TEST IS DUE IN 5 MINS
Step-by-step explanation:
here's the answer to your question
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = - (x - 8). What is
the slope-intercept form of the equation for this line?
O y=1/4x - 12
O y= 1/4x-4
O y= 1/4x +2
O y=1/4x+6
PLS HELP ASAP
what is the equation for the line of symmetry for the function below?
y-1=-2(x+3)^2
A. x=3
B. x=-2
C.x=-3
D.y=7
I THINK ITS C BUT IM NOT SURE
If f(x) = 7x - 3 and g(x) = x^2, what is (g° 0(1)?
( f ∘ g ) ( x ) is equivalent to f ( g ( x ) ) . We solve this problem just as we solve f ( x ) . But since it asks us to find out f ( g ( x ) ) , in f ( x ) , each time we encounter x, we replace it with g ( x ) . In the above problem, f ( x ) = x + 3 . Therefore, f ( g ( x ) ) = g ( x ) + 3 . ⇒ ( f ∘ g ) ( x ) = 2 x − 7 + 3 ⇒ ( f ∘ g ) ( x ) = 2 x − 4 Basically, write the g ( x ) equation where you see the x in the f ( x ) equation. f ∘ g ( x ) = ( g ( x ) ) + 3 Replace g ( x ) with the equation f ∘ g ( x ) = ( 2 x − 7 ) + 3 f ∘ g ( x ) = 2 x − 7 + 3 we just took away the parentheses f ∘ g ( x ) = 2 x − 4 Because the − 7 + 3 = 4 This is it g ∘ f ( x ) would be the other way around g ∘ f ( x ) = 2 ( x + 3 ) − 7 now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them. g ∘ f ( x ) = 2 x + 6 − 7 Next, + 6 − 7 = − 1 g ∘ f ( x ) = 2 x − 1
Hello,
[tex]f(x)=7x-3\\g(x)=x^2\\\\(fog)(x)=g(f(x))=g(7x-3)=(7x-3)^2=49x^2-42x+9\\\\(gof)(x)=f(g(x))=f(x^2)=7x^2-3\\\\(fog)(0)=g(f(0))=49*0^2-42*0+9=9\\\\(gof)(0)=f(g(0))=7*0^2-3=-3\\[/tex]
Since i don't know what is (g°O(1) and you haven't correct your question ,
i has put the 2 possibles answsers.
The 20th term of an arithmetic progression 1,5,9,13......
Answer:
a₂₀ = 77
Step-by-step explanation:
There is a common difference between consecutive terms , that is
5 - 1 = 9 - 5 = 13 - 9 = 4
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 4 , then
a₂₀ = 1 + (19 × 4) = 1 + 76 = 77
Bonnie made a scale drawing of a theater. The scale of the drawing was 2 inches =
1 foot. If the stage is 40 inches in the drawing, how wide is the actual stage?
55
Answer:
20 foot.....................
Make a conjecture about the diagram below. Is AC greater than, less than, or equal to BC? Explain your reasoning.
Answer:
i dont see a diagram ?
Step-by-step explanation:
Answer:
AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.
What is the answer??
Answer:
80°
Step-by-step explanation:
Triangle ABC and CYZ are similar so the angles would also be same
Simplify
a)78.5÷3.14
b)56.272×41.2
c)4 4/7÷5 1/3
I need step by step explanation pls
Answer:
[tex]78.5 \div 3.14 \\ = 25 \\ \\ 56.272 \times 41.2 \\ = 2318.4067 \\ \\ 44 \div 7 \div 51 \div 3 \\ = 0.04[/tex]
Solve for X.
-3/2(x-2)=45/14
Please show work.
Answer:
-1/7
Step-by-step explanation:
-3/2(x-2)=45/14
x-2=(45/14)/(-3/2)
x-2=(45/14)(-2/3)
x-2=-90/42
simplify -90/42 into -15/7
x-2=-15/7
x=-15/7+2
x=-15/7+14/7
x=-1/7
PLEASE HELP!!!
Solve for x in the following equation!!!
[tex]sin(\frac{3\pi }{2}+x) + sin(\frac{3\pi }{2}+x)=-2[/tex]
Answer:
Step-by-step explanation:
First we'll simplify this using the Sum Identity for sin(x + y) where [tex]x=\frac{3\pi}{2}[/tex] and y = x. Notice we have 2 of those so we simplify first into
[tex]2sin(\frac{3\pi}{2}+x)=-2[/tex] and divide away the 2 on the left to get
[tex]sin(\frac{3\pi}{2}+x)=-1[/tex] and now we'll expand:
[tex]sin\frac{3\pi}{2}cosx+cos\frac{3\pi}{2}sinx=-1[/tex] and go to your unit circle to find the sin and cos of [tex]\frac{3\pi}{2}[/tex] and fill in where they go:
(-1cosx + 0sinx) = -1 which simplifies to
-1cosx = -1 so
cosx = 1 and
x = 0 or 2π, depending upon what your interval is.
Identify the parent function.
Answer:
Reciprocal
Step-by-step explanation:
What is the probality of rolling a 6-sided die on a getting a 1 or a prime number?
Answer:
1/12
Step-by-step explanation:
Chances of getting a 1 are 1/6 and chances of getting a prime number excluding 1 is 3/6. 3/6 x 1/6= 3/36 or 1/12 chance.
PLS HELP (algebra 1)
solve -19d + 8(7d - 14)
Answer:
[tex]\huge\boxed{-19d + 8(7d - 14)=37d-112}[/tex]
Step-by-step explanation:
[tex]-19d + 8(7d - 14)[/tex]
use the distributive property: a(b + c) = ab + ac
[tex]-19d + (8)(7d)+(8)(- 14)=-19d+56d-112[/tex]
combine like terms
[tex]=(-19d+56d)-112=37d-112[/tex]
