The second difference of this quadratic pattern is 2.
The first term of this quadratic pattern is 10.
Quadratic patternA sequence of numbers has a quadratic pattern when its sequence of second differences is constant. Therefore,
let the first and fourth term be a and b.
Therefore,
first difference:
1 - a; - 6 - 1 = -7; b + 6; -14 - b;
Second difference:
The second difference is constant . Therefore,
-7 - (1 - a) = -8 + a; b + 6 + 7 = b + 13; -14 - b - b - 6 = -2b - 20;
Therefore,
b + 13 = -8 + a
b - a = -21
Then,
-2b - 20 = b + 13
-3b = 33
b = 33 / -3
b = - 11
Therefore,
- 11 - a = - 21
-a = -21 + 11
-a = -10
a = 10
Hence, the second difference = b + 13 = -11 + 13 = 2
First term = a
Therefore,
a = 10
learn more on quadratic pattern here:https://brainly.com/question/21517782
Can we conclude that two similar figures can also be congruent figures? Explain.
Answer:
In similar figures, the angles are congruent, even if the sides are not. Notice that one angle in each pair of figures corresponds to an angle in the other figure. They have the same shape but not the same size
hi pls pls help me w this, it’s slope. algebra 1 home work
Answer: Both are the same. Don't just copy this, actually try to understand it.⬇️
Step-by-step explanation:
x y
2 3
4 6
8 12
remember rise/over = y/x
Function 1 is rising 3 for every 2 to the right. that means 3/2 or x y
2 3
I hope this helps
Plz help me!! I’m having a bit of trouble
Answer:
x= 27
Step-by-step explanation:
solve x 9/× = x/4 what is x
Answer:
x = - 6, x = 6
Step-by-step explanation:
[tex] \frac{9}{x} = \frac{x}{4} \\ \\ x \times x = 9 \times 4 \\ \\ {x}^{2} = 36 \\ \\ x = \pm\sqrt{36} \\ \\ x = \pm 6 \\ \\ x = - 6, \: \: x = 6[/tex]
Complete the recursive formula of the geometric sequence 27, -9, 3, -1
b(1)= ______
b(n)= b(n-1)·_____
Answer:
Step-by-step explanation:
Common ratio r = a₂/a₁ = -9/27 = -⅓
b(1) = 27
b(n) = b(1)rⁿ⁻¹ = 27(-⅓)ⁿ⁻¹
To decorate 6 dozen cupcakes with red hot candies, Nan needs about 550 red hots. Which two sacks of candy would be the best buy?plsss help me asap giving brainless and explain whay is that the answer.
Answer:
Is there supposed to be a picture?
Step-by-step explanation:
If you used a random number generator for the numbers from 1 through 15 to play a game, what is the theoretical probability of getting an odd number or a multiple of 6?
Answer:
Getting an odd number would be 8/15 and the multiple of six would be 2/15
a number increased by 9 is 13
Answer:
4
Step-by-step explanation:
To find the number you have to reverse the equation
Let us call the number "x"
x + 9 = 13
So to find x we flip the equation
13 - 9 = x
Solve it
4 = x
So the missing number is 4
Helpppp!!!!!! I need this nowwwww
6x^2 - 37x + 13 = 6
Show why this quadratic trinomial cannot be factored with an explanation.
i have been struggling with this please help
Sailors once used a unit of length called a fathom to measure the depth of the water. Each fathom is equal to 6 feet. Which equation represents the relationship between x, the depth of water in fathoms, and y, the depth of the water in feet?
Answer:
Y=x*(6 feet/ 1 fathom)
Step-by-step explanation:
Plsssssssssssss help
Answer:
x = 1.73
y = 2
Step-by-step explanation:
tan 30 = 1/x
0.57735 = 1/x
x = 1.73
sin 30 = 1/y
0.5 = 1/y
y = 2
PLEASE HELP GIVE ME CORRECT ANSWER AND ILL MARK YOU BRAINLY CORRECT ANSWER MATHEMATICS
Answer:
it's 800 ft
Step-by-step explanation:
because again when you want to find the area of anything you mulipuly so
10 x 20= 200 then you get the 200 and times it by 4 so 200 x 4 = 800
hope this helps!
10÷ 5/8 I need help to answer this
Answer:
16
Step-by-step explanation:
10÷5/8=16
Answer:
16
Step-by-step explanation:
To solve problems where a fraction is being divided, we use a reciprocal of the fraction, which means that you flip the fraction upside down and multiply by the other number. So for this problem, the opposite of 5/8 is 8/5, so we need to multiply that by 10.
10*8/5
80/5
16
Hope this helped you out!! Have an awesome day ( ̄︶ ̄)↗
20 POINTS HELP MATH RN SUCSSS
Answer:
A
Step-by-step explanation:
Find the value of x
Please help i don’t know the answer
Answer:
44 + 45 = 99° divided by 2 = 49.5 (you can round to 49)
why i am here any idea ?
Answer:
Homework i d k
Step-by-step explanation:
PLEASE HELP ITS URGENT DONT GUESS (also if you get it right ill mark you as brainliest)
Answer:
17
Step-by-step explanation:
split the shape into 2 rectangles and find the area by multiplying the lenghts and withs of each rectangle then add their areas
someone plz help no links stg
what is the answer of
reciprocal of 1/7
Answer:
7/1
Step-by-step explanation:
A reciprocal means you flip the numerator and the denominator (the top number and the bottom number) so In this case the reciprocal for 1/7 s 7/1.
Hope I could help!
8 + 12n – 4n – 7 Another problem pls dont troll or i will report you :)
Answer:
Step-by-step explanation:
Do u see any similarities between the numbers? Both 12 and -4 have a variable(N). 8 and -7 dont have a variable, so u have to calculate them individually.
One thing to remember is just because there is a minus sign(-) or a plus sign(+) does not mean its addition or subtraction. its the value of the number. the sign to the left of the number is its value. so left of 12 is plus(+), so its a positive. left of 4 is a minus sign(-) so its a negative 4. lastly, left of 7 is minus sign(-), which means its negative 7. now u add.
lets add the variables first:
12n + (-4n) = 8n
add the regular numbers:
8 + (-7) = 1
so its 8n + 1
Exit Ticket/CFU/You try:
Find the difference: (3 - 2i) - (5 - 6i). Show your work below.
heyy pls help ty lol
Answer: 5/12
Step-by-step explanation:
Answer:
5/12
Step-by-step explanation:
We are going to change both number so they have the same denominators.
1/4x3/3= 3/12
2/3x4/4=8/12
Once we changed the number we are going to subtract the numbers.
8/12-3/12=5/12
We can't simplify 5/12 so the answer is 5/12.
(Urgent) Worth 10 points 7.3
Step-by-step explanation:
A straight line adds up to 180°
m+3m=180°
4m=180°
m=45°
3m=45°
angle CBD=3(45)
=135°
11 dived by 2=
Long divination pls help
Answer:
11/2 is 5 1/2 this is which is 5 remainer 1 if you are a lower grade. If not then the complete form is 5.5
Step-by-step explanation:
solve following values for x and y
Answer:
value of x
(8x+7)°=(9x-4)°
vertically opposite angles are equal
8x°-9x°=-4°-7°
-x°=-11°
divide both sides by -1° don't counsel negative
x=11
value of Y
5y°=(7y-34)°
vertically opposite angles are equal
5y°-7y°=34°
-2y°=34°
divide both sides by-2° don't counsel negative
y=17
Nutritionists measured the sugar content (in grams) for 32 drinks at Jake's Java
coffee shop. The drinks had a mean sugar content of 18g and a standard
deviation of 5g, and the distribution was roughly symmetric.
Question 1: Grande Mocha Cappuccino at Jake's Java contains 14 g of sugar.
Calculate the standardized score (z-score) for the Grande Mocha Cappuccino.
Answer:
[tex]z = -0.8[/tex]
Step-by-step explanation:
Given
[tex]n = 32[/tex] --- samples
[tex]\mu = 18g[/tex] --- mean
[tex]\sigma =5g[/tex] --- standard deviation
[tex]x = 14g[/tex] --- observed value
Required
Find the standardized score
This is calculated as:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
So:
[tex]z = \frac{14g -18g}{5g}[/tex]
[tex]z = \frac{-4g}{5g}[/tex]
[tex]z = \frac{-4}{5}[/tex]
[tex]z = -0.8[/tex]
The standardized score is -0.8
3.9÷10₅ = (power of 10)
Determine the speed in km/h if you travel a distance of 160 km in 2 hours
Answer:
80km/h
Step-by-step explanation:
(160KM/H) / (2H) = 80 KM
Answer:
80km/h
Step-by-step explanation:
hope this helps!
have a good day :)
A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore. Suppose that a storm is in progress with a severe storm class rating. Let us say that we want to set up a statistical test to see if the wave action (i.e., height) is dying down. The next 10 waves have an average wave height is 16 feet with a SD of .6 ft. If you wanted to test the hypothesis that the waves are dying down, what would you use for the alternate hypothesis
Answer:
The alternate hypothesis is:
[tex]H_{a} < 16[/tex]
Step-by-step explanation:
There are two types of hypothesis. The null hypothesis and the alternate hypothesis. The null hypothesis is that the mean found is equal to the expected value. The alternate hypothesis is a question about this expected value(different, more, less)
A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore.
This means that the null hypothesis is [tex]H_{0} = 16.4[/tex]
Let us say that we want to set up a statistical test to see if the wave action (i.e., height) is dying down. If you wanted to test the hypothesis that the waves are dying down, what would you use for the alternate hypothesis
Dying down means lower average peak, that is, lower than the average of 16.4. This means that the alternate hypothesis is:
[tex]H_{a} < 16[/tex]