The nth term of a sequence is 25 - 3n
Work out the first three terms of the sequence
Work out the first negative term of the sequence
Answer:
see explanation
Step-by-step explanation:
To find the first 3 terms substitute n = 1, 2, 3 into the formula
(a)= 25 - (3 × 1) = 25 - 3 = 22 = 25 - (3 × 2) = 25 - 6 = 19= 25 - (3 × 3) = 25 - 9 = 16
The first three terms are 22, 19, 16
Note the difference between consecutive terms is - 3
19 - 22 = 16 - 19 = - 3
Continuing this pattern
(b)16 - 3 = 13 13 - 3 = 10 10 - 3 = 7 7 - 3 = 4 4 - 3 = 1 1 - 3 = - 2
The first negative term is - 2
Five times the sum of twice a number, x, and two is ten.
Find the number.
x=?
Answer:
0
Step-by-step explanation:
5(2x + 2) = 10
10x + 10 = 10
10x = 0
x = 0
Answer:
x = 0
Step-by-step explanation:
First, let's translate this statement into an equation.
5 times the sum of twice a number, x, and two means "5(2x + 2)"is ten means "= 105(2x + 2) = 10Solving
Step 1: Simplify both sides.
[tex](5)(2x)+(5)(2)=10[/tex] [tex]10x+10=10[/tex]Step 2: Subtract 10 from both sides.
[tex]10x+10-10=10-10[/tex] [tex]10x=0[/tex]Step 3: Divide both sides by 10.
[tex]10x/10=0/10[/tex] [tex]x=0[/tex]Have a lovely rest of your day/night, and good luck with your assignments! ♡
Please help me!!!!!!!!!
Answer:
-2/3
Step-by-step explanation:
I think this would help u
Regina charges c dollars per hour to babysit. If she increases her rate by 15%, which expression represents her new rate, in dollars per hour?
PLZZ HELPPPPPPPPPPPPPPPPPP
A- c + 0.15
B- c + 15
C- c + 0.15c
D- c +15c
Answer: Correct answer is C
Application for the pythragron theorem.
An election poll of 1,000 people indicates that 48 percent of voters favor Candidate Smith and 50 percent of voters favor Candidate Jones, with a 3 percent margin of error. What can one conclude from this poll
The election poll indicates a close race between Candidate Smith and Candidate Jones, with a margin of error of 3 percent.
Given that,
Election poll of 1,000 people conducted
48 percent of voters favor Candidate Smith
50 percent of voters favor Candidate Jones
Margin of error is 3 percent
Based on the election poll,
We can conclude that there is a close race between Candidate Smith and Candidate Jones.
With Candidate Smith at 48 percent and Candidate Jones at 50 percent, it suggests a tight competition.
However, it's important to consider the margin of error of 3 percent.
This means that the actual support for each candidate could vary within this range.
Therefore, while this poll provides valuable insights, it is not definitive and other factors should also be considered.
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whats the area of this
Answer:
35 cm
Multiply height times width.
Height: 7 cmWidth: 5 cm7 x 5 = 35
Therefore, the area should be 35.
7(y+6) what is the answer
Answer:
7y+ 42
Step-by-step explanation:
Answer: 7y+42 I think :^)
Step-by-step explanation:
Victor says that point A is closer to 0 than point B on a number line.
What are the possible locations of A and B?
A= -5, B= -2
A= -3, B= 6
A= 7, B= -5
A= 8, B= 4
Answer:
b has more closer to 0 on number line
Step-by-step explanation:
-2 is closer than-5=B wins
-3 is closer to 0 than 6=A wins
-5 is closer to 0 than 7 is=B wins
And 4 is closer to 0 than 8 so= B wins
Hope it helps have a great day:)
please help (will give brainiest)
Answer:
Step-by-step explanatwe
1/3 would be a||b but if were talking plus mult then try (01ab 9)
iii Write down the length and width of the block.
Answer length
=
width x
Length x + 5
Height 5
X = 25
Please help!!!
Question - the graphs below have the same shape. What is the equation of the blue graph.
O a. G(x) = (x-4) ^2
O b. G(x) = (x+4)^2
O c. G(x) = x^2 - 4
O d. G(x) = x^4 + 4
Answer:
hello
g ( 4 ) = 0
( x - 4)² = 0 ⇔ x = 4
Step-by-step explanation:
Which equation represents a line that is parallel to the line y=3-2x?
1) 4X+ 2Y=5
2)2x+4y=1
3)y=3-4X
4)y=4X-2
Answer:
(1)
Step-by-step explanation:
Slope of the given line is -2
1) 4x + 2y = 5, 2y = -4x + 5, y = -2x + 5/2, slope is -2
Parallel line, same slope so the answer is (1)
-3/4(8q-12r)-3(3q-2r)
Answer:
-60q+60r/4
Step-by-step explanation:
Hope this helps
I need serious help on this!
Answer:
B. 3.88
Step-by-step explanation:
Point Q is 3.86 and point R is 3.92
3.88 is the only answer that is between the numbers.
Of the vegetables Aron planted, 5/12 were carrots, 3/12 were cucumbers, and the rest were tomatoes. What fraction of the vegetables was tomatoes?
A. 1/6
B. 1/8
C. 1/3
D. 5/12
Bernard ate part of a small pizza. He started with 11/12 of a pizza but only ate 2/3 of it. which is the best estimate of the amount Bernard ate
Answer: The answer is 1/4 because
Step-by-step explanation:
11
12
–
2
3
=
11
12
–
2 × 4
3 × 4
=
11
12
–
8
12
=
11 – 8
12
=
3
12
=
3 ÷ 3
12 ÷ 3
=
1
4
Purchases made at small "corner stores" were studied by the authors of a certain paper. Corner stores were defined as stores that are less than 200 square feet in size, have only one cash register, and primarily sell food. After observing a large number of corner store purchases in Philadelphia, the authors reported that the average number of grams of fat in a corner store purchase was 21.8. Suppose that the variable
x = number of grams of fat in a corner store purchase
has a distribution that is approximately normal with a mean of 21.8 grams and a standard deviation of 7 grams.
a) What is the probability that a randomly selected corner store purchase has more than 29 grams of fat?
b) What is the probability that a randomly selected corner store purchase has between 15 and 25 grams of fat?
c) If two corner store purchases are randomly selected, what it the probability that both of these purchases will have more than 25 grams of fat?
Answer: x = number of grams of fat in a corner store purchase
has a distribution that is approximately normal with a mean of 21.8 grams
Step-by-step explanation:
12-ton pickup truck is 17 3/4 feet long. If it is parked in a garage that is 28 1/2 feet in length, how much longer is the garage than the truck?
Answer:
10 3/4 feet longer
Step-by-step explanation:
17 3/4= 17.75
28 1/2= 28.50
28.50 - 17.75 = 10.75
10.75 = 10 3/4
Daniel,Cheryl and Li Ying earned $550 from their part time jobs. Li Ying earned $28.Daniel earned 4 times as much as the total amount of Cheryll and Li Ying's earnings. How much did Cheryl earn?
The amount Cheryl earned from the per time job is $82.
The three of them earned $550 from their part time jobs.
Li Ying earned $28.
Daniel earned 4 times as much as the total amount of Cheryl and Li Ying's earnings.
let
x = amount Cheryl earned
y = amount Daniel earned
Therefore,
y = 4(x + 28)y = 4x + 112
y - 4x = 112
The three of them earned $550. Therefore,
x + y + 28 = 550x + y = 522
Let's combine the equation.
System of equationy - 4x = 112
x + y = 522
5x = 410
x = 410 / 5
x = 82
Therefore, Cheryl earned $82.
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HELP!!
Find the equation of a line parallel to y = 4x – 4 that contains the point (-2,0). Write the equation in slope-intercept
form.
Answer:
y = 4x + 8
Step-by-step explanation:
parallel mean the same slope so you can start with an equation of:
y = 4x + b
now we solve for b by inserting the coordinates and solving for b:
0 = 4 ( -2) + b
0 = -8 + b
8 = b
now put b into the equation:
y = 4x + 8
One more: If Ashley intends to leave a 17% tip on a $47 meal, how much will her total bill be?
Answer:
Ashley will have a total bill of $54.99
Step-by-step explanation:
1. Convert percentages into fractions or decimals
For fraction: divide 17 by 100 and remove the % sign.
[tex][17][/tex]%[tex]=\frac{17}{100}[/tex]
For decimal: move the decimal point 2 places to the left and remove the % sign.
[tex][17][/tex]%[tex]=0.17[/tex]
2. Multiply the decimal or fraction by the quantity that equals 100%
100%=47
[tex]17/100*47=0.17*47=7.99[/tex]
So hence, 17% is $7.99 of $47
3. Add the Tip with the Cost of the Meal (will give final answer)
to make things easier -
47+7=54
54+0.99=54.99
So hence, your answer is $54.99----------------------------------------------------------------------------------------------------------
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On the number line, which two numbers are a distance.20 away from the number 5
Answer:
uch hcufh hcjcjck j j k jcucydh h h jxh b j h h n b b b b j n n n n n n j h h h hcucucuchch h hxj j n h n n n j j b kcufufudydyfufudificn j h jcifif
Simplify. Assume all variables are positive values
Answer:
10√(w⁵v⁷)
Step-by-step explanation:
√(20wv³) × √(5w⁴v⁴) = √(100w⁵v⁷)
reduce...
10√(w⁵v⁷)
I hope this helps, please rate!!
Answer:
[tex]10w^{2}v^{3} \sqrt{wv}[/tex]
Step-by-step explanation:
[tex]\sqrt{20wv^{3} } \sqrt{5w^{4}v^{4} } =\sqrt{(5)(4)wv(v^{2}) } \sqrt{5(w^{2})(w^{2})(v^{2})(v^{2} ) }[/tex]
[tex]=(2v\sqrt{5wv} )(w^{2}v^{2} \sqrt{5} )=2w^{2}v^{3} (5)\sqrt{wv}[/tex]
[tex]=10w^{2}v^{3} \sqrt{wv}[/tex]
Hope this helps
The decay rate (k) is 2.2% per year = -0.022
The half life is ___ years.
Answer:
31.5 years.
Step-by-step explanation:
Half life is given by [tex]= -\frac{ln(2)}{k}[/tex]. Where we use the natural logarithm. Plugging in a value of [tex]k = -0.022[/tex] we get: 31.5 years for the half life.
product of 2 and the sum of 4 and x is 22
product = multiplication
so it's 2 * (x+4) = 22
* = product / multiplication
sum = addition
2 * (x+4) = 22
2x + 8 = 22
2x = 14
x = 7
When Alvin woke up in the morning, it was
–
9°F. By the afternoon, the temperature had risen to
–
2°F.
What was the change in temperature from the morning to the afternoon?
Answer:
The answer to this question is: 7
The change in temperature from the morning to the afternoon is 7°F.
Given that, Alvin woke up in the morning, it was –9°F. By the afternoon, the temperature had risen to –2°F.
We need to find what was the change in temperature from the morning to the afternoon.
What is the change in temperature?Temperature change is a process whereby the degree of hotness of a body (or medium) changes.
You subtract the final temperature from the starting temperature to find the difference.
Now, change in teperature=-2-(-9)
=-2+9=7
Therefore, the change in temperature from the morning to the afternoon is 7°F.
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i need the angle measurements for each letter in this image
Answer:
To find c you know that angles on a straight line equal 180° (supplementary angles). So 70+30+∠C=180.
Now we can solve this.
100+c=180.
Move the 100 over to the other side.
100-100+c=180-100
Simplify.
∠C=80°
Because we know that the two lines with double arrows are parallel, we can use the rule that alternate interior angles are congruent. This means that ∠E=70.
∠E=70°
Since the total sum of the angles in a triangle are equal to 180°, we know that ∠D+∠C+∠E=180. Because we already know ∠C and ∠E we can put those numbers in for them. 80°+70°+∠D=180°. Now we can solve this.
80+70+D=180
Simplify this.
150+D=180
Now we move the 150 over to the other side to get D by itself.
150-150+D=180-150
Simplify.
D=30
∠D=30°
Now we can find the vertical angle opposite ∠A by using the alternate interior angles rule again this time using the parallel lines with only one arrow on them. The vertical angle opposite ∠A=30°. Since vertical angles are congruent ∠A=30°.
∠A=30°
We are going to use the alternate angles rule one more time to solve for ∠B (this rule is very important when dealing with parallel lines), we could also use the corresponding angles rule but for simplicity we will just stick with the alternate angles rule. Because the vertical angle opposite ∠A is equal to 30°, we can see that the supplementary angle opposite ∠B=30°. Because this angle is supplementary with B we know that 30+B=180.Now we can solve this.
30+B=180
Now we move the 30 over to the other side.
30-30+B=180-30
Simplify.
B=150
∠B=150°
I hope this helps!
Answer:
<b=150
Step-by-step explanation:
what is the decimal 36.14 in expanded form
Answer:
Standard Form:
36.14
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
30
+
6
+
0.1
+
0.04
Expanded Factors Form:
3 ×
10
+
6 ×
1
+
1 ×
0.1
+
4 ×
0.01
Expanded Exponential Form:
3 × 101
+
6 × 100
+
1 × 10-1
+
4 × 10-2
Word Form:
thirty-six and fourteen hundredths
Step-by-step explanation:
Answer: The correct answer is: 30 + 6 + 0.1 + 0.04.
Step-by-step explanation:
We write numbers in expanded form using place value.
I need help. I don’t understand any of this
Answer:
I think it’s B but I’m sorry if wrong
Step-by-step explanation: