9514 1404 393
Answer:
74
Step-by-step explanation:
The recursive definition is for an arithmetic sequence with a first term of -6 and a common difference of 4.
The general term of such a sequence is ...
a(n) = a(1) +d(n -1)
This sequence is ...
a(n) = -6 +4(n -1) = 4n -10
Then for n = 21, the term is ...
a(21) = 4(21) -10 = 84 -10
a(21) = 74
5х2 – 5х
Combine like terms
Answer:
if the x in the first number is a multiplication sign, then heres the answer:
10 - 5x
Step-by-step explanation:
6,7 across the x axis
Classify this triangle by its sides?
Answer:
Scalene
Step-by-step explanation:
Jayla's bank account increased by 7% this year. Write an equation to represent the relationship between the amount that Jayla started with, b, and the amount she has now, c.
The equation that represents Jayla's current account balance with the initial amount is c=1.07b.
What is Compound Interest?
Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. and this continues for t period of time.
It is given by the formula,
[tex]A = P(1+\dfrac{r}{100})^t[/tex]
where, A is the value after t period of time, and,
r is the rate of interest.
Given to us
Jayla's bank account increased by 7% this year.
The amount that Jayla started with is b,
The amount that Jayla has now is c.
The equation that represents Jayla's AccountWe know the general equation for compound interest is given as,
[tex]A = P(1+\dfrac{r}{100})^t[/tex]
Substituting the values we will get,
[tex]c=b(1 + \dfrac{7\%}{100})^1\\c = b(1.07)[/tex]
Hence, the equation that represents Jayla's current account balance with the initial amount is c=1.07b.
Learn more about Compound Interest:
https://brainly.com/question/25857212
You and a friend join a gym. The registration fee is $30 and the monthly membership is $20. If the total bill for you and your friend is $420, how many months did you pay for?
Answer:
You payed for 18 months.
Step-by-step explanation:
420-60=360
360÷20=18
Select all of the statements that correctly describe the Pythagorean theorem and it’s converse
Answer:
IS there a picture?
Step-by-step explanation:
Answer:
Step-by-step explanation:
there is no choices to choose from only a question so I'm not sure what the answer choices are.
pPLSSSS4. You need to heat 7.59 g of water from 5.2 ºC to 368 K. How much heat is
needed? Give answer in Joules and calories.
_____J
_____cal
Answer:
Honestly im not sure
Step-by-step explanation:
5.2°C = (273 + 5.2)k = 278.2k
Change in temperature = 368k -278.2= 89.8k
q (heat energy) = MCp∆T
When Cp of water =1046J
q = 7.59 g × 1046J × 89.8k
= 712, 934.772Jgk-1 = 713kJgk
When Cp of water =250cal
q = 7.59 g × 250 × 89.8k = 170kCalk
I need help on this question
If someone could help me please and thank you!
Answer:
56 degrees
Step-by-step explanation:
A straight angle is 180 degrees
91 + 33 = 124
180 - 124 = 56
Check:
124 + 56 = 180
Answer:
C=56
Step-by-step explanation:
You subtract the sum of 33 + 91 from 180 which would you give you c=56
Solve for the value of v.
Answer:
v=21
Step-by-step explanation:
(4v-4)+(5v-5)=180
4v+5v-4-5=180
9v=189
v=21
Answer:
v = 21
Step-by-step explanation:
You would combine the terms and set the equation to 180 and simplify from there
HELP I NEED HELP...I’m confused
Answer:
c
Step-by-step explanation:
Pls answer this CORRECTLY PLSSSSSS!!
Answer:
there's no question
Step-by-step explanation:
find the value of:
a) (3-¹+4-¹+5-¹)0
this 0 at last is power..
Answer:
1
Step-by-step explanation:
Any thing to the power 0 will always be 1
x⁰=1
(3^-1=1/3)
(4^-1=1/4)
(5^-1=1/5)
1/3+1/4+1/5=47/60
(47/60)^0=1 (as any thing to the power 0 will always be 1 )
Hope this helps you.
Factorise 2x^2 + 5x + 2
Answer:
(x+2)(2x+1)
Step-by-step explanation:
x times 2x is 2x^2
x times 1 is x
2 times 2x is 4x
2 times 1 is 2
Overall
2x^2+x+4x+2
add x and 4x:
2x^2 + 5x + 2
So (x+2)(2x+1) is the answer
Answer:
( x + 2 ) , ( 2x + 1 )
Step-by-step explanation:
2x² + 5x +2
2x² + 4x + x +2
2x ( x + 2 ) +1 ( x + 2 )
( x + 2 ) , ( 2x + 1 )
hope it will help you
plz follow me
pls help it’s gonna be graded and im lost
Answer:
Im not sure but it might be the fourth one.
Step-by-step explanation:
if its wrong im SOOO sorry :(
One number is 2 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 468 , find the numbers
Answer:
Step-by-step explanation:
Givens
Let the first number = x
Let the second number = 2x
Let the third number = x + 100
Total = 468
==============
Solution
x + 2x + x + 100 = 468 Combine the xs
4x + 100 = 468 Subtract 100 from both sides
4x = 468 - 100
4x = 368 Divide by 4
x = 368/4
x = 92
===============
Answer
First number = 92
Second num = 2 * 92= 184
Third number = 92 + 100= 192
Total 468
7. Expand and reduce A(x). Then calculate A(x) for x=1.
A (x) = (3x – 3)(3x + 2)
Given:
The function is
[tex]A(x)=(3x-3)(3x+2)[/tex]
To find:
The simplified form of A(x) and value of A(x) at x=1.
Solution:
We have,
[tex]A(x)=(3x-3)(3x+2)[/tex]
[tex]A(x)=(3x)(3x)+(3x)(2)+(-3)(3x)+(-3)(2)[/tex]
[tex]A(x)=9x^2+6x-9x-6[/tex]
[tex]A(x)=9x^2-3x-6[/tex]
Putting x=1, we get
[tex]A(1)=9(1)^2-3(1)-6[/tex]
[tex]A(1)=9-3-6[/tex]
[tex]A(1)=9-9[/tex]
[tex]A(1)=0[/tex]
Therefore, the simplified form of A(x) is [tex]A(x)=9x^2-3x-6[/tex] and the value of A(x) at x=1 in 0.
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 8 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
about 7.8
Step-by-step explanation:
a^2+b^2=c^2
1^2+b^2=8^2
2+b^2=64
B^2=62
B= about 7.8
Use an area model to solve.
Answer:
1 25/27
Step-by-step explanation:
1 1/3 x 1 4/9 =?
convert to total fractions:
4/3 x 13/9 = ?
multiply
52/27 = ?
reduce
1 25/27
Y’all help, I ain’t sure bout the answer
I think it’s 5.79 tho
Answer:
5.79
Step-by-step explanation:
I think I'm not very sure tho
It's 7.723, not 5.79.
If you get your bodmas correctly, you should get 7.723.
Solution:
Do "((-4.6) - 1.9) first, which is -6.5 basically.
After that it is (-2.78) x (-2.8), which is 7.784.
After that do (2.2 - 1.8) ÷ ((-4.6) - 1.9), which is -0.061
After that 7.784 + -0.061, which makes it 7.723.
2 is 4% of what number.
(use proportions or not idc)
Answer:
8 i think im sry
Step-by-step explanation:
Answer:
2 is 4 percent of 50
Step-by-step explanation:
.....
What happens to the equation when y = -3 becomes y = 2?
Answer:
-3 = 2 which the statement isn’t true & y is less than the number
Step-by-step explanation:
-2 to both sides or keep it the same
-3 = 2
—2 -2
-5 = 0
pls it needs 2 b right
Which of the following is described as the amount by which the value of a country’s exports exceeds the cost of its imports?
tax excess
tariff
quota
trade surplus
Answer:
a tax excess
yw
Step-by-step explanation:
how do i do this 0.7x = 1.8 − 0.4x
Answer:
x = 1.636364
x = 1.64 (simplified)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
0.7x=1.8−0.4x
0.7x=1.8+−0.4x
0.7x=−0.4x+1.8
Step 2: Add 0.4x to both sides.
0.7x+0.4x=−0.4x+1.8+0.4x
1.1x=1.8
Step 3: Divide both sides by 1.1.
1.1x/1.1=1.8/1.1
x=1.636364
x = 1.64 (simplified)
Answer:
x = 1.636364
Explanation:
0.7x = 1.8 − 0.4x
Simplify both sides of the equation0.7x = 1.8 − 0.4x
0.7x = 1.8 + −0.4x
0.7x = −0.4x + 1.8
Add 0.4x to both sides0.7x + 0.4x = −0.4x + 1.8 + 0.4x
1.1x = 1.8
Divide both sides by 1.1
1.1x / 1.1 = 1.8 / 1.1
x = 1.636364- PNW
Writing Equations of Lines
Answer:
Please leave more information.
Step-by-step explanation:
Factorise the following:
10 – x^2
Answer:
It cant be further factorise...you may have missed a value.
10 and x square have nothing in common, nor is there any mid number for mid-term breaking, nor any two square numbers to apply identities. If yu can reveiw he question...which I think might be 100-x^2....the answer will be
(10-x)(10+x)
Step-by-step explanation:
Which of the following are characteristics of the graph of the absolute value
parent function?
Check all that apply.
O A. It goes through the origin.
O B. The right half has a slope of -1.
O C. It is in quadrants I and II.
D. It is V-shaped.
Answer: C) It is in quadrants I and II
A) It goes through the origin
D) It is V-shaped
explanation: The graph of the absolute value parent function will be V-shaped. The absolute function is also known as the mode function. The value of the absolute function is always positive. The absolute function is given as f(x) = | x – h | + k
The graph of the absolute value parent function will be V-shaped.
The characteristics of the graph of the absolute value parent function are; A) It goes through the origin, C) It is in quadrants I and II and D) It is V-shaped
What is the absolute value function?The absolute value function is defined by the following piecewise rule, depending on the input of the function:
|x| = x, x ≥ 0.
|x| = -x, x < 0.
This measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0, and has vertex at (0,0). The range is from the y-coordinate of the vertex to positive infinity.
Vertex (2, 0), Range: {y | 0 ≤ y < ∞}
Since graph of the absolute value parent function will be V-shaped. The absolute function is also known as the mode function.
The value of the absolute function is always positive. therefore the absolute function is given as ;
f(x) = | x – h | + k
The graph of the absolute value parent function will be ;V-shaped.
More can be learned about functions a;
brainly.com/question/24808124
#SPJ7
Write an equation of the line with a slope of -7 and y -intercept of 1
Answer:
y=-1x-6
Step-by-step explanation:
the slope is -1
use y=mx+b
Plug the point into y=mx+b, -7=-1(1)+b
-7=-1+b
add 1 both sides the y- intercept is b=-6
Amanda's monthly salary increased from $5,300 to $5,538.50. Mary's salary also increased by the same percentage as Amanda's.
If Mary was earlier getting $6,300, what is her new salary?
Answer:
$6,583.5
Step-by-step explanation:
Amanda's monthly salary increased by 4.5%. You can get the percentage by getting the increased amount in salary and dividing it by the previous salary of Amanda.
$5,538.50 - $5,300 = $238.5$238.5 ÷ $5,300 = 0.045 (4.5%)In order to get the new salary of Mary, you have to multiply the same percentage, 4.5%, to Mary's previous salary, $6,300. This will give you the amount that will be added to her new salary.
$6,300 x 0.045 (4.5%) = $283.5$283.5 + $6,300 = $6,583.5Mary's new salary is $6,583.5
3. A computer is priced at $65,000 plus value added tax at 15%. What amount does the computer actually cost the customer?
Answer:
$74,750
Step-by-step explanation:
Given that,
The cost of a computer = $65,000 + value added tax at 15%
We need to find the amount the computer actually cost the customer.
Total cost = Cost of computer + VAT at 15%
[tex]=65000+65000\times \dfrac{15}{100}\\\\=\$74,750[/tex]
So, the computer actually cost the customer is $74,750.
If the sin 30° is one half, then the cos ________° = ________.
60°; one half
30°; square root 2 over 2
60°; square root 3 over 2
30°; 1
Step-by-step explanation:
[tex]sin(a) = cos(90 - a)[/tex]
60°= one half
Answer:
The answer and most correct out of the options given is answer "A."
Step-by-step explanation:
Took the test, the person above is right I can confirm. I know a lot of people want confirmation for these answers.