Answer:
[tex]a_{37}=249[/tex]
Step-by-step explanation:
A sequence that has a common difference is an arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, n is the index, and d is the common difference.
In your question:
n = 37a₁ = -39d = 8Plug those into the formula:
[tex]a_{37}=-39+(37-1)8[/tex]
Then solve:
[tex]a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249[/tex]
4.5 x 30 =
tenths x 30 =
Answer:
4.5 x 30 = 135
0.1 x 30 = 3
Hint: something multiplied by 0.1 is the same as that same thing divided by 10.
Which quadratic function shows a y-intercept of 4 and a maximum value of 5
Answer:
The 4th graph
Step-by-step explanation:
To have a maximum value, your parabola would have to open downwards. So the first 2 are wrong. Since your y-intercept is positive 4, your graph would have to touch the y axis at 4. The 3rd graph is wrong since it touches the y-axis at a negative point. The correct answer would be the 4th answer choice.
Question 4 options:
The area of a rectangle is 65 square inches.
The length is x + 5, and the width is x – 3.
Find the value of x, and the dimensions of the rectangle.
A=lw
I. The value of x is equal to 8.
II. The dimensions of the rectangle are 13 and 5 inches respectively.
Given the following data:
Area of a rectangle = 65 square inches.Length of rectangle = x + 5 inchesWidth of rectangle = x - 3 inchesTo find the value of x, and the dimensions of the rectangle:
Mathematically, the area of a rectangle is given by the formula:
[tex]A = LW[/tex]
Substituting the values, we have:
[tex]65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0[/tex]
x = 8 or x = -10
For the length:
when x = 8
[tex]Length = 8 +5[/tex]
Length = 13 inches.
For the width:
when x = 8
[tex]Length = 8 -3[/tex]
Length = 5 inches.
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What is the height, x, of the equilateral triangle?
Answer:
D: [tex]4\sqrt3[/tex]
Step-by-step explanation:
Draw the height. You notice you have split the triangle in two right triangles of sides 8 (the hypotenuse), 4 (half the horizontal side) and x. Let's apply Pythagorean theorem to the triangle: [tex]8^2 = 4^2+x^2 \rightarrow 64=16+x^2 \rightarrow x^2= 48 = 4^2\times3\\x= \sqrt48 = 4\sqrt3[/tex]
An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.
Answer:
3.33%
Step-by-step explanation:
9.90/300=0.033
Given trapezoid WXYZ, what is XY?
Answer:
XY = 16 ft
Step-by-step explanation:
The mid segment DE is half the sum of the parallel bases, that is
[tex]\frac{XY+WZ}{2}[/tex] = 20 ( multiply both sides by 2 to clear the fraction )
XY + WZ = 40
XY + [tex]\frac{3}{2}[/tex] XY = 40 ( multiply through by 2 to clear the fraction )
2XY + 3XY = 80
5XY = 80 ( divide both sides by 5 )
XY = 16
pls help me with this question ...
Here is ur perfect answer
Answer:
x = 207
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
([tex]\sqrt{x}[/tex] )² + 7² = 16²
x + 49 = 256 ( subtract 49 from both sides )
x = 207
Geometry- Solve the portion. Question#3
Answer:
[tex]a=1[/tex]Step-by-step explanation:
First let's put our equation[tex]\frac{1}{a+3}=\frac{4}{16}[/tex]Cross - Multiply[tex]4a+12=16[/tex]Subtract both sides by 12[tex]4a=4[/tex]Divide both sides by 4[tex]a=1[/tex]Answer:
a=1
Step-by-step explanation:
Hi there!
We are given the proportion [tex]\frac{1}{a+3} =\frac{4}{16}[/tex], and we want to solve it for the variable, a
Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.
Therefore, the proportion will now be:
[tex]\frac{1}{a+3} =\frac{1}{4}[/tex]
Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)
1(a+3)=4(1)
Multiply
a+3=4
Subtract 3 from both sides
a=1
Hope this helps!
Five metal cubes with sides of 5 cm are
melted and casted into
a spherical ball. Find the
volume of the sphere that is formed
Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2 cm of room on either side of the TV. If the TV screen measures 86 cm high, which is the correct equation to use to find the largest size TV that will fit? TV’s are measured based on the diagonal measure.
pa brainliest answer po
Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer. 16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
Answer:
yes
Step-by-step explanation:
6^2+8^2=10^2
following the pythagoras theorem this triangle is right triangle
pls help i was to turn this by tomorrow
Answer:
a d
Step-by-step explanation:
What is p^m multiplied by p^n equal to?
Step-by-step explanation:
p^m × p^n .....since the base is the same, add the powers
p^(m + n)
p^m + n
100 IF U GET THIS RIGHT!
Answer:
Feeling like an addict that ain't had it, up and at it in a minute
If it hadn't been invented, my limit wouldn't be infinite
I'm feeling like an infant in a womb
I'ma be here 'til the tomb
Lately I've been in my room
Lookin' and lookin' at records on the wall
Hold up
Answer:
Slope:
7
y-intercept:
(0,2/5)
Step-by-step explanation:
y is inversely proportional to x.
When x = 2.5, y = 4.
Find the value of y when x = 8.
Answer:
y = 32/2.5
Step-by-step explanation:
formula:
y=kx
k = y/x
k= 4/2.5
so this is k
y = 4/2.5 x
y = 4 / 2.5 × 8
y = 32/2.5
answer.) y = 32/2.5
hope it was helpful
thank you
what is the answer to 11/12-7/9=
0.13888888888 is tour answer
What’s the range of = 1 2 ⋅ 2 + 6 + 6
Answer: the range of 12 * 2 + 6 + 6 is 36
Step-by-step explanation:
make v the subject of the formula t=4v+3
Step-by-step explanation:
t=4v+3
t-3=4v
(t-3)/4=v
hope this helps you.
4n + 8 = 40
what does n =
4n + 8 = 40
4n = 40 - 8
4n = 32 / : 4
n = 8
N = 8
Hope this helps!!! if so please give brainliest
Maki~
PLS HELP FOR BRAINLIST :D
Answer:
The third answer is the correct one.
Which linear equation represents the graph?
A) y = 7x + 3
B) y = 7x + 10
C) y = 1/7x+3
D) y = 1/7x+10
Answer:
y = 7x + 3
Step-by-step explanation:
A slope of 1/7 will give you a line that is not very steep. Therefore C and D is not the answer.
Now look at A and B. Check point (1, 10) into equations A and B because this point is on the given graph.
y = 7x + 3 y = 7x + 10
y = 7(1) + 3 y = 7(1) + 10
y = 7 + 3 y = 7 + 10
y = 10 (1, 10) y = 17 (1, 17)
solve for x 10 points
3 1/5−1/4x=−4/5
3⅕ - ¼x = -⅘
-¼x = -⅘ - 3⅕
-¼x = -4 / · (-4)
x = 16
Mia is 7.04304 x 10 minutes old. Convert her age to more appropriate units using years, months, and
days. Assume a year has 365 days and a month has 30 days.
a
Mia is 13
years
months and
days old
Answer:13 years,1 month, and 29 days
Step-by-step explanation:
Select ALL of the equations that are true.
(Select all that apply.)
· 16 = 3.8
3
1
6
19
=
=
=
2.8. 13 = 0.7.52
Answer:
C ( 2.8 x 13 = 0.7 x 52)
Step-by-step explanation:
2.8 x 13 = 36.4
0.7 x 52 = 36.4
36.4 = 36.4
Answer:
Answer : 36.4
Step-by-step explanation:
thanks pi sa points uwu
1/243 as an expression using a negative exponent other than -1
Answer: To get the expression with negative exponent, we need to convert the number 1024 in exponential form
Replace the denominator by 2^10
Now we apply exponential property
negative exponent other than -1 is
2. Miranda earns $12 per hour at her job. If she saves 60% of her
earnings for the computer, she will be able to buy the computer
after working
hours at her job. Her total amount is $964.80
Answer: Her total amount is $964.80
1928
Step-by-step explanation:
964+964 once s
Juan joins a movie club. He pays $10 to join and each movie costs $5. Which equation represents the relationship between the total cost, y, and the number of movies, x?
3 feet in 4 mintes
A.______________
B.______________ per 16 minutes
Answer:
B. 12 per 16 minutes
Step-by-step explanation:
4x4=16, so multiply 3×4 to get 12.
The sum of a whole number A and a whole number B is 30, and the ratio A : B is equivalent to 3 : 2
Write a system of linear inequalities represented by the graph?
Inequality 1:
Inequality 2:
Answer:
y > x - 2
y >= 5x + 1
Step-by-step explanation:
Linear inequalities represented by the graph are y>5x+1 and y>x-2
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The first line passes through the points
(0, 1) and (-1, -4)
The slope of line is m=-4-1/-1=5
Let us find the y intercept
1=5(0)+b
b=1
So the equation of line is y=5x+1
As the shading is outside so y>5x+1
Now let us find for 2nd line
(2, 0) and (-2, -4)
m=-4/-4=1
Now y intercept is 0=2+b
b=-2
So equation is y=x-2
As shading is outside so y>x-2
Hence, linear inequalities represented by the graph are y>5x+1 and y>x-2
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