Answer:
Next 3 terms: 17, -31, 65
3 terms before -7: 2, -1, 5
Step-by-step explanation:
Fourth term in the sequence = -7
Rule for finding the next term:
[tex]a_n=-2\times a_{n-1}+3[/tex]
Therefore, the fifth term:
[tex]a_5=-2\times a_4+3\\\Rightarrow a_5=-2\times -7+3\\\Rightarrow \bold{a_5=17}[/tex]
Sixth term:
[tex]a_6=-2\times a_5+3\\\Rightarrow a_6=-2\times 17+3\\\Rightarrow \bold{a_6=-31}[/tex]
Seventh term:
[tex]a_7=-2\times a_6+3\\\Rightarrow a_7=-2\times -31+3\\\Rightarrow \bold{a_7=65}[/tex]
Let the three terms that came before -7 be: [tex]x, y, z[/tex]
As per question statement:
[tex]a_n=-2\times a_{n-1}+3[/tex]
[tex]-7 = -2\times z+3\\\Rightarrow -2z=-10\\\Rightarrow z=5[/tex]
Again applying the given rule:
[tex]5 = -2\times y+3\\\Rightarrow y =-1[/tex]
Again applying the given rule:
[tex]-1 = -2\times x+3\\\Rightarrow x =2[/tex]
Therefore the 3 terms before -7 are:
2, -1, 5
For the line that passes through the points (0, 2) and (-6, 0), the x-intercept is and the y-intercept is
Answer:
The x-intercept is (-6, 0) and the y-intercept is (0, 2)
Step-by-step explanation:
We are already given points where x = 0 and y = 0
The x-intercept is when y = 0
The y-intercept is when x = 0
So the x-intercept is (-6, 0)
and the y-intercept is (0, 2)
Mike can stitch 7 shirts in 42 hours how long will it take to stitch 1 shirt
Answer:
42/7 is 6 so it would take Mike 6 hours to stich 1 shirt please give brainliest
Step-by-step explanation:
A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm. What is its surface area? Explain also and thanks if anyone answers my question!
Answer:
The surface area is 48cm^2
Step-by-step explanation:
Given
Dimension: 2cm by 2cm by 5cm
Shape: Rectangular Prism
Required
Determine its Surface Area (A)
This is calculated as thus:
[tex]A = 2(lw + lh + hw)[/tex]
Where l, w and h are the dimensions of the given shape:
We can say:
[tex]l = length = 2cm[/tex]
[tex]w=width = 2cm[/tex]
[tex]h=height=5cm[/tex]
So:
[tex]A = 2(2 * 2 + 2 * 5 + 5 * 2)[/tex]
[tex]A = 2(4 + 10 + 10)[/tex]
[tex]A = 2(24)[/tex]
[tex]A = 2 * 24[/tex]
[tex]A = 48[/tex]
Hence, the surface area is 48cm^2
How many numbers can be squared to get a value of 0?
Answer:
1
Step-by-step explanation:
0^2 equals 0 but 1 and -1 the numbers closest equal 1 so only one number can be squared to get 0
This week the art museum giveaway thousand 200 tickets to the Greco’s exhibit which was 150% as many tickets as a key figure out how many tickets Elysium give away his work is your
Answer:
about 300
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
12*PLEASEE ANSWER THIS FAST IT'S VERY URGENT IS IT LEFT OR RIGHT WHICH IS THE CORRECT ANSWER!!!
Answer:
Right
Step-by-step explanation:
20 boxes minus 9 boxes
Andy has 6 2/3 cups of juice. How many 2/3 cup servings can he pour?
Answer:
10
Step-by-step explanation:
10 * 2/3 = 20/3
20/3 = 6 2/3
Answer:
He can pour 10 2/3 cup servings of juice.
Step-by-step explanation:
PLEASE MARK BRAINLIEST
can you help me with this please
Answflasvkdiuihrytiy\ih\j
3
. (-3, 5); y = *-4
Write an equation passing through the point and the perpendicular to the given line
Answer:
the line perpendicular: x=-3
Step-by-step explanation:
1.Given the rotation of triangle ABC shown below, determine the counter-clockwise angle of rotation that occurred about point D. Show all relevant lines and measurements you made to determine your answer.
A) 180°
B) 90°
C) 130°
D) 50°
Answer:
D. 50º
Step-by-step explanation:
According to the image below attached, blue lines represents line segments [tex]DB[/tex] and [tex]DB'[/tex], the red line creates a right angle regarding [tex]DB[/tex] (90º), where green line creates a flat angle with the same respect (180º). The angle between [tex]DB[/tex] and [tex]DB'[/tex] is less than 90º and 180º, meaning an acute angle. Therefore, the right answer is D.
humph im sad ask me why
Answer:
u ok? hang in there
Step-by-step explanation:
Its okay to feel sad, We all have those moments where we just want to find ourselves near the warm fireplace and find our peace and calming. Don't worry we are here for you!! ✨
is a rate that makes a comparison to 1 unit
Answer:
Unit Rate is a that makes a comparison to one unit.
Step-by-step explanation:
unit rate is that makes to comparison to one unit
Evaluate the expression you wrote to
find the amount Mr. Parker will pay if
he drives 80 miles.
Answer:
$78 or $78.00
How do you divide 10.5 divided by2.5?
Answer:
4.2
Step-by-step explanation:
10.5/2.5= 4.2
Move the decimal in 10.5 over one to the right to get 105.0
Answer:
Divide how you normally would, without the decimals, then put the decimal back in its orginal position; this would result in 4.2.
Step-by-step explanation:
Which expression is equal to q = 2 × 79?
Answer:
q= 158
Step-by-step explanation:
Write an expression for this sentence:
Find 3 more than the product of 9 and 4
Create a scenario that could be represented by the graph above.
Please help !!
Suppose widgit weights produced at Acme Widgit Works have weights that are normally distributed with mean 17.46 grams and variance 375.67 grams. What is the probability that a randomly chosen widgit weighs more then 19 grams?
Answer:
The probability that a randomly chosen widget weighs more then 19 grams is 0.468.
Step-by-step explanation:
X = Widget weights produced at Acme Widget Works
It is provided that X is normally distributed with mean 17.46 grams and variance 375.67 grams.
Compute the probability that a randomly chosen widget weighs more then 19 grams as follows:
[tex]P(X>19)=P(\frac{X-\mu}{\sqrt{\sigma^{2}}}>\frac{19-17.46}{\sqrt{375.67}})[/tex]
[tex]=P(Z>0.08)\\\\=1-P(Z<0.08)\\\\=1-0.53188\\\\=0.46812\\\\\approx 0.468[/tex]
Thus, the probability that a randomly chosen widget weighs more then 19 grams is 0.468.
Please help. This is a solve for x problem!
Answer:
3/10 = x or 0.3 = x
Step-by-step explanation:
2.1 / x + 1 4/5 = 3 / 10x
1. first cross multiply and solve it normally:
3 (x + 1 4/5) = (2.1) 10x
3x + 5 2/5 = 21x
-3x -3x
5 2/5 = 18x
3/10 = x or 0.3 = x
these questions are kind annoying to solve because of the fractions, so if you can, use a calculator to solve them! its much easier!
hope this helps!
Answer:
x = 3/10 = 0.3
Step-by-step explanation:
{(2.1)/(x+1 4/5)} = 3/10x
x + 1 4/5 = x + 5/5 + 4/5 = x + 9/5
then:
(2.1)/(x+9/5) = 3/10x
10x*2.1 = 3(x+9/5)
21x = 3x+ 27/5
21x - 3x = 27/5
18x = 27/5
90x/5 = 27/5
90x = 27
x = 27/90
x = 3/10 = 0.3
convert to vertex form
f(x)=-x^2+6x-10
Answer:
(3,1)
Step-by-step explanation:
Answer:
the answer is y = (x+3)^2-19
Whats the quotient of 15.86 divided by 0.65?
Answer:
24.4
Step-by-step explanation:
15.86 /0.65 = 24.4
PLEASE HELP!!
Use the expression 9i+2(7+3i) to answer this question!
Which property or properties should you use to simplify this expression?
Apply those properties to each term
Answer:
Please check the explanation.
Step-by-step explanation:
Considering the expression
[tex]9i+2\left(7+3i\right)[/tex]
Applying the distributive law[tex]a\left(b+c\right)=ab+ac[/tex]
so the expression becomes
[tex]=9i+2\cdot \:\:\:7+2\cdot \:\:\:3i[/tex]
Group like terms
[tex]=9i+14+6i[/tex]
Add similar elements: 9i+6i=15i
[tex]=15i+14[/tex]
Find in slope standard form 3х – 5y = 10
Answer:-5y=-3x+10
Divide all by -5
Y= 3/5x+10/-5
Negative divide by negative is positive--3/-5= 3/5
Slope is 3/5 y intercept is -2
Step-by-step explanation:
PLSSSS HELP ASAP I AM TIMED. A community garden contains five types of plants. Two of the types are flowers: roses and daisies.The other three types are vegetable plants: cucumbers, bell peppers, and green beans.
Plants in the Community Garden
Plant
Number
Roses
2
Daisies
4
Cucumbers
6
Bell Peppers
5
Green Beans
7
Which statetement is true?
Green bean plants are One-third of the total plants.
The ratio of cucumber plants to flowers is 1:1.
Bell pepper plants are One-third of the vegetable plants.
The ratio of daisy plants to rose plants is 1:2.
Answer:
B
Step-by-step explanation:
I did the test (; on egunity
It is accurate to say that there are 2:1 daisies to rose plants. Because the Daisy plant and the Rose have the numbers 2 and 4, respectively
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that, A community garden contains five types of plants. Two types are flowers: roses and daisies. The other three types are vegetable plants: cucumbers, bell peppers, and green beans.
Since the number of the Daisly plant and the rose is 2 and 4 respectively, its ratio is,
=Daisy plant: rose
=2:4
=1:2
Thus, it is accurate to say that there are 2:1 daisies to rose plants. Because the Daisy plant and the Rose have the numbers 2 and 4, respectively
Learn more about the ratio here:
brainly.com/question/13419413
#SPJ6
URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! DUE IN LESS THAN 12 MINS
Answer:
28.26m^2 (aka. 28.26 meters squared)
Step-by-step explanation:
The area of a circle is A=pi*r^2 where r is the radius of the circle.
Since r=3, then A=pi*3^2=9pi=28.26
Therefore, the area of the merry-go-round is 28.26 square meters
Help and thanks please
Answer:
D i think
Step-by-step explanation:
PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.
Multiply.
−5/6 ⋅ 27
−67 1/2
−32 1/4
−22 1/2
−18 1/2
Answer:
-22.5
Step-by-step explanation:
-5 divided by 6 is 0.8333 (repeated/round to 0.8) 0.8333 (repeated) times 27 is -22.5 (-22 1/2)
Hope this helps you! :D
Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can check that it is equivalent
Answer:
The expression –3 + 2x is equivalent to 2x – 3. I know it is equivalent because for every value of x that is substituted in, the two expressions simplify to the same value. I took the expression and used the commutative property to not change the value.
Answer:
The expression –3 + 2x is equivalent to 2x – 3. I know it is equivalent because for every value of x that is substituted in, the two expressions simplify to the same value. I took the expression and used the commutative property to not change the value.
An electronics store sells DVD players and cordless telephone. The store makes a $75 profit on the sale of each DVD player (d) and a $30 profit on the sale of each cordless telephone (c). The store wants to make a profit of a least $255.00 from its sales of DVD players and cordless phones. Write an inequality to model this situation.
Find an example to show how this situation could happen and one example showing how it could NOT happen. Make sure to justify your answer.
75d + 30c ≥ 255
Examples(1) If someone bought five DVD players and ten cordless telephones, the equation ((75)(5)+(30)(10)≥255) would be true.
(2) If the electronic store had a parcticularly bad day and they sold two DVD players and one cordless telephone, the equation ((75)(2)+(30)(1)≥255) would be false.
Kelly currently has a checking account balance of $172.14. She makes a deposit of $27.45, and then spends $17.89 on dinner. How much money does she have now? *
Answer:
126.8 Hope this helps