Answer:
D. 48
Step-by-step explanation:
f(x)=8x+8
f(x)=40+8
f(x)=48
Given: 3x < -6.
Choose the solution set.
{x | x > -2}
{x | x < -2}
{x | x > 2}
{x | x < 2}
Answer:
First divide 3 on both sides to get x by itself, now you have x < -2.
Step-by-step explanation:
Hope this helps :)
Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily. What is the first day's interest? Round to the nearest cent.
Answer:
The interest is $0.03
Step-by-step explanation:
($720*0.014)/365
The first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
P =$720
r = 1.4% = 0.014
n = 365
t = 1 day
[tex]\rm A = 720(1+\dfrac{0.014}{365})^{365\times1}[/tex]
After solving:
A = $730.15
The interest I = A - P
I = $730.15 - 720
I = $10.15
Thus, the first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.
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Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?
–1.5
–0.5
0.5
1.5
Answer:
1.5
1.5
Step-by-step explanation:
The steps are in the image above
The slope of the line through these two data points is 1.5.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
x represents the time and y represents the temperature in degrees Fahrenheit.
temperature of –2°F at 8 a.m. Hence:
-2 = 8m + b (1)
it was 4°F at 12:00 p.m. Hence:
4 = 12m + b (2)
Solving equations 1 and 2 simultaneously gives:
m = 1.5, b = -14
The slope of the line through these two data points is 1.5.
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What is the nth term rule of the quadratic sequence below?
8
,
16
,
26
,
38
,
52
,
68
,
86
,
.
.
.
The [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex] .
What is quadratic sequence ?Quadratic sequences are sequences that include [tex]nth[/tex] term. They can be identified by the fact that the differences between the terms are not equal, but the second differences between terms are equal.
Quadratic sequence [tex]=an^2+bn+c[/tex]
Here [tex]a,b,c[/tex] are constant and [tex]n[/tex] is the position of term.
First difference [tex]= 3a+b[/tex]
Second difference [tex]=2a[/tex]
We have,
Quadratic sequence [tex]8,16,26,38,52,68,86,....[/tex]
Quadratic sequence [tex]=an^2+bn+c[/tex]
so,
For [tex]n=1[/tex];
[tex]8=an^2+bn+c[/tex]
[tex]8=a+b+c[/tex] [tex]........(i)[/tex]
For [tex]n=2[/tex];
[tex]16=4a+2b+c[/tex] [tex]........(ii)[/tex]
For [tex]n=3[/tex];
[tex]26=9a+3b+c[/tex] [tex]........(iii)[/tex]
Now,
Subtract equation [tex](i)[/tex] from [tex](ii)[/tex]
we get,
[tex]8=3a+b[/tex] [tex]........(iv)[/tex]
Subtract equation [tex](ii)[/tex] from [tex](iii)[/tex] we get,
[tex]10=5a+b[/tex] [tex]........(v)[/tex]
Subtract equation [tex](iv)[/tex] from [tex](v)[/tex] we get,
[tex]2=2a[/tex] (This is second difference mentioned above)
[tex]a=1[/tex]
Putting [tex]a=1[/tex] in [tex](iv)[/tex]
⇒[tex]b=5[/tex]
Now putting values of [tex]a[/tex] and [tex]b[/tex] in equation [tex](i)[/tex]
[tex]8=1+5+c[/tex]
[tex]c=2[/tex]
Now, putting values of [tex]a[/tex] , [tex]b[/tex] and [tex]c[/tex] in,
Quadratic sequence [tex]=an^2+bn+c[/tex]
we get,
[tex]nth[/tex] term rule [tex]=n^2+5n+2[/tex]
Hence, we can say that the [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex].
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What is the coefficient of the term 5/3 xy?
A. 5xy
B. 5/3
C. 5
D. 1/3
Reese’s sister earns $15 per hour. The store offers her a raise - a 6% increase per hour after a raise how much will Reese sister make per hour
Answer: $15.90/hr
Step-by-step explanation:
We need to add 6% to her $15/hr current pay. This can be calculated with:
$15/hr *(1+0.06) = $15.90/hr
The "(1+0.06)" represents a) 1 the current salary, and b) the 6% raise.
Valley schools have a student population of 1,608 students .if there are an equal number of students in the 6th grade levels, how many students are in each grade .
Answer:
268
Step-by-step explanation:
1608/6= 268
hope this helps!
Identify the indicated sum for the geometric series.
S, for 3 - 6 + 12 – 24 + .....
Answer:
Here,
3
,
(
−
6
)
,
12
,
(
−
24
)
,
...
is the geometric sequn.
w
h
e
r
e
,
1
s
t
t
e
r
m
=
a
1
=
3
and
common ratio
r
=
−
6
3
=
12
−
6
=
−
24
12
=
−
2
and
S
9
=
?
⇒
n
=
9
We know that,
The sum of first n term of Geometric series is :
S
n
=
a
1
(
r
n
−
1
)
r
−
1
Putting ,
a
1
=
3
,
r
=
−
2
and
n
=
9
S
9
=
3
[
(
−
2
)
9
−
1
]
(
−
2
)
−
1
∴
S
9
=
3
[
−
512
−
1
]
−
3
⇒
S
9
=
3
(
−
513
)
−
3
⇒
S
9
=
513
Step-by-step explanation:
Answer:
Step-by-step explanation:
c.r. r=-6/3=-2
[tex]S_{n}=3\frac{(-2)^n-1}{-2-1} =-(-2)^n+1\\let~n\rightarrow \infty\\then S_{\infty} \rightarrow \infty~or~ -\infty[/tex]
r^2 - 8r - 22 = 6 solve for r
Answer:
-34
Step-by-step explanation:
r^2 - 8r - 22 ( R = 6)
6^2 =36 (8r = 8*6=48)
36 - 48 = -12
-12 - 22 = -34
8. You have been asked to repaint the lateral surface area of cone-shaped pylons used for soccer drills. If they have a radius of 5" and a height of 12", calculate the slant height and lateral surface area to be painted to the nearest square inch.??
Answer:
See answer below.
Step-by-step explanation:
LA = π rl
1st find l
The radius is 5" and the height is 12" l = ?
h and the r is the two legs in the right triangle when drawn in a cone.
Use a² + b² = c² ⇔ h² + r² = l²
12² + 5² = l²
144 + 25 = l²
169 = l²
[tex]\sqrt{169} = l[/tex]
13 = l
Formula for LA = π r l
LA = 3.14 × 5 ×13 or with a calculator LA = π × 5 × 13
LA = 204.1 sq.in LA = 204.2035225 sq. in
I use 3.14 = for π but you know what the teacher uses in class.
hi please help with this
have a great day
Answer:
Can you explain what this is then I can help
Answer:
- 11Step-by-step explanation:
Given a = -2.9
Simplify the fraction:
(a² + a - 12)/(9 - a²) =(a² + 4a - 3a - 12)/(3 - a)(3 + a) =(a - 3)(a + 4) / - (a - 3)(a + 3) =- (a + 4) / (a + 3)Now substitute the value of a:
- (- 2.9 + 4) / (-2.9 + 3) =- 1.1 / 0.1 = - 11. Add the following. Answer in feet and inches. a) (3 ft. 8 in) + (4 ft. 9 in)
Answer:
8 ft. 5 in.
Step-by-step explanation:
First, let's change everything to inches
[] 3 ft. 8 in -> 3 * 12 = 36, 36 + 8 = 44 inches
[] 4 ft. 9 in -> 4 * 12 = 48, 48 + 9 = 57 inches
Now, we can add
44 + 57 = 101 inches
Last, we will simplify
101 -> 8 feet and 5 inches
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
For each triangle, a base and its corresponding height are labeled. Find the area of each triangle.
Answer:
The area of the triangle is equal to half of the base times the height: A = b x h x 1/2 You could find the area of a triangle with base length of 4 inches and height of 3 inches as follows: A = 4 inches x 3 inches x 1/2 = 6 square inches
Step-by-step explanation:
The corresponding height is the length of a perpendicular segment from the base to the vertex opposite of it. The opposite vertex is the vertex that is not an endpoint of the base.
Determine if the triangles are similar. If similar, choose how and also choose the correct similarity statement.
Select 2 correct answer(s)
SAS
SSS
AA
Not Similar
△LMN ~ △GHN
△LNM ~ △GHN
△MLN ~ △GHN
Answer:
SAS∆LMN ~ ∆GHNStep-by-step explanation:
If the long segments have the same ratio as the short segments, then corresponding sides of the large and small triangles are proportional.
LG/MH = 12.5/10 = 1.25
GN/HN = 40/32 = 1.25 . . . . so the triangles are similar
__
The proportional side pairs are LN and GN, MN and HN. Angle N is between those side pairs, so the SAS criterion applies.
Since corresponding vertices are (L, G), (M, H), and (N, N). ∆GHN will be similar to ∆LMN.
A you-pick blueberry farm offers 6 lbs of blueberry for $16.50.
Sketch a graph of the relationship between cost and pounds of blueberries
Answer:
Step-by-step explanation:
Lol hi
If x = 5y - 1 and 3x + 5y = -43, what is the value of y?
Answer:
y is the value of 1
Step-by-step explanation:
no need for one
Answer:
y = - 2
Step-by-step explanation:
Substitute x = 5y - 1 into the other equation
3(5y - 1) + 5y = - 43 ← distribute parenthesis and simplify left side
15y - 3 + 5y = - 43
20y - 3 = - 43 ( add 3 to both sides )
20y = - 40 ( divide both sides by 20 )
y = - 2
simplify by combining like terms -(m+n)+2 (m-3n)
-(m+n)+2(m-3n)
-m+n+2m-6n
-m+2m+n-6n
m-5n
Answer:
m -7n
Step-by-step explanation:
-(m+n)+2 (m-3n), distribute in the first parenthesis the -1 and in the second parentheses the 2
-m -n + 2m -6n , group like terms
-m + 2m -n -6n , combine like terms
m -7n
A line has a slope of -4. The line passes through the point (-2,1). What is the point- slope form of the line?
A. y - 1 = -4 (x + 2)
B. y - 4 = -2 (x - 1)
C. y - 1 = 4 (x - 2)
D. y - 2 = -4 (x - 1)
Answer:
A y - 1 = -4(x + 2)
Step-by-step explanation:
point-slope form: [tex]y - y_{1} = m(x -x_{1} )[/tex]
y - 1 = -4(x -(-2) )
y - 1 = -4(x + 2)
Help fast, please!!!!!!!!!!!!!!
Answer: 25% or B
Step-by-step explanation:
1. Money in November - Money in October
2. 50 - 40 = 10 dollars increased
3. 10/40 = 0.25 or 25%
Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 + 5x + 10 B) f(x) = x2 + 7x + 10 C) f(x) = x2 − 5x + 10 D) f(x) = x2 − 7x + 10
Step-by-step explanation:
x = -2 and x = -5
x + 2 = 0 and x + 5 = 0
(x + 2)(x + 5) = 0
x² + 5x + 2x + 10 = 0
x² + 7x + 10 = 0
f(x) = x² + 7x + 10
The quadratic equation is x² + 7x + 10.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the zeroes of Quadratic Equation as -2 and -5.
So, the factors of the equation is (x +2 ) and (x + 5).
Then, the Quadratic equation is
= (x+5)(x+2)
= x² + 5x +2x + 10
= x² + 7x + 10
Thus, the quadratic equation is x² + 7x + 10.
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The angles of a triangle are in the ratio 2 : 3 : 4 . find the angles of the triangle .
don't give unwanted ans to get the points
well explained ans needed !!
spammers and plagiarism = reported
thx !!
[tex]\pink{Answer}[/tex]
The measure of ∆a = 2x The measure of ∆b = 3x The measure of ∆c = 4x[tex]\\ \sf\longmapsto2x + 3x + 4x = 180 \\ [/tex]
[tex]\\ \sf\longmapsto9x = 180 = > x = 20[/tex]
[tex]\\ \sf\longmapsto \: a = 2x = 2 \times 2 0 = 4 0 [/tex]
[tex]\\ \sf\longmapsto \: b \: = 3x = 3 \times 20 = 60[/tex]
[tex]\\ \sf\longmapsto \: c = 4x = 4 \times 20 = 80[/tex]
hence , angles of the triangle are 40 , 60 and 80
The angles of a triangle are in the ratio 2 : 3 : 4 . find the angles of the triangle .
Answer:-40° , 60° and 80°
Explanation:-We know that sum of all the angles of a triangle adds to 180° .
Let the angles be 2x , 3x and 4x
Now,
=> 2x + 3x + 4x = 180°
=> 9x = 180°
=> x = 180/9
=> x = 20°
(The value of x is 20)
2x = 2 × 20 = 40°3x = 3 × 20 = 60°4x = 4 × 20 = 80°Please help me with this geometry work, its very confusing! Picture provided! Please help ASAP
convert 250 Angtrums to centimeters
A local little league has a total of 60 players ,80% of whom are right handed how many right handed players are there?
Find: (4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y)
Place the correct coefficients in the difference.
x2y3 +
xy2 +
y
Answer:
final answer: 58xy
Step-by-step explanation:
24xy + 4xy - 2y + 42xy - 12xy + 2y
(24xy + 4xy + 42xy - 2xy) + ( - 2y + 2y)
(24 + 4 + 42 - 12)x xy + ( - 2 + 2)xy
58xy + ( - 2 + 2)xy
58xy + 0y
58xy
Answer:
1st one is 11
2nd one is -4
3rd one is 0
Step-by-step explanation:
no need
you can trust me :)
simplify by combining like terms 3k-2k
Answer:
k
Step-by-step explanation:
3k-2k=1k
1k=k so this is the answer
encuentre el sistema de desigualdades que describe la region sombreada
Find the missing exponent
Answer:
-6
Step-by-step explanation:
Because 2×(-6) is - 12
Answer:
-24
Step-by-step explanation:
the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction
Answer:
Side length = 4.80 cm
Step-by-step explanation:
Given the perimeter of an equilateral triangle, 14.4 cm:
An equilateral triangle has three congruent sides.
Since a triangle has three sides, and the sum of those sides represent the perimeter. We can assume that each side of the triangle represents a third (⅓) of the perimeter.Perimeter of an equilateral triangle = side + side + side = 3(side)
Perimeter = 14.4 cm
[tex]\displaystyle\mathsf{side=\frac{14.4\:cm}{3}=4.80\:cm}[/tex]
Therefore, the length of each side of an equilateral triangle is: 4.80 cm.
find the dimensions of the right circular cylinder of maximum volume that can be inscribed in a sphere of radius a
Answer:
d.
took the test
Step-by-step explanation