Answer:
[tex]\boxed {\boxed {\sf 682}}[/tex]
Step-by-step explanation:
The nth term of an arithmetic sequence can be found using the following formula.
[tex]a_n=a+d(n-1)[/tex]
where a is the first term, d is the common difference, and n is the term.
First, we should find the common difference.
We can do this by subtracting each term from the term following it. Basically, subtract the first term from the second term, the second from the third, and so on.
[tex]d= a_2-a_1[/tex]
The second term is 25 and the first is 16.
[tex]d= 25-16[/tex]
[tex]d=9[/tex]
Now we know the common difference is 9. We also know the first term is 16 and we are looking for the 75th term.
[tex]d=9 \\a=16 \\n= 75[/tex]
Substitute the values into the formula.
[tex]a_{75}=16+9(75-1)[/tex]
Solve according the PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
Solve the parentheses first.
[tex]a_{75}=16+9(74)[/tex]
Multiply next.
[tex]a_{75}=16+666[/tex]
Finally, add.
[tex]a_{75}=682[/tex]
The 75th term in the sequence is 682.
What is the solution to the inequality 14y−14≥14?
Answer:
[tex]y \geqslant 2[/tex]
Step-by-step explanation:
1. Add 14 to both sides.
[tex]14y \geqslant 28[/tex]
2. Divide both sides by 14.
[tex]y \geqslant 2[/tex]
Henry decorates the top of each cupcake with 3 walnuts. If he has 56 walnuts, is that enough to decorate 2 dozen cupcakes? Why?
Answer:
No he does not have enough walnuts
Step-by-step explanation:
So if one dozen cupcakes is 12 then two dozen is 24 and each one has 3 walnuts and he only has 56 walnuts then what you have to do is multiply 24 by 3 and get 72 so the answer is no he does not have enough
Answer:
No, in order to decorate 2 dozen cupcakes(24) he needs 72 walnuts. With 56 he can only decorate 18 cupcakes.
Step-by-step explanation:
Chad is making an orange smoothie. The recipe calls for three part frozen yogurt to five part orange juice. How many ounces of frozen yogurt and how many ounces of orange juice does he need to get a total of 16 ounces
Answer: it will be 6 ounces of frozen yogurt and 10 ounces of orange juice.
Step-by-step explanation:
3 parts frozen yogurt
5 parts orange juice For a total of 8 parts divided by 16 ounces = 2 Multiply 3 fy x 2= 6 ounces And multiply 5 oj x 2= 10 ounces
There are 6 ounces of frozen yogurt and 10 ounces of orange juice does he need to get a total of 16 ounces.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
The recipe calls for three part frozen yogurt to five part orange juice.
Here, The ratio of frozen yogurt to orange juice = 3 : 5
Hence, To get a total of 16 ounces, we can formulate;
⇒ 3x + 5x = 16
⇒ 8x = 16
⇒ x = 2
Hence, The amount of ounces of frozen yogurt = 3x
= 3 × 2
= 6
And, The amount of ounces of orange juice = 5x
= 5 × 2
= 10
Thus, There are 6 ounces of frozen yogurt and 10 ounces of orange juice does he need to get a total of 16 ounces.
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14 The graph of a linear function has a y-intercept of 5 and passes through
the point (2,5). What is the slope of the graph of the function?
A. 0
B. 2/5
C. 2.
D. 5/2
Answer:
(-2,5) is vertex ; y-intercept (0,5) but the y-intercept is actually (0,-7).
Step-by-step explanation:
The vertex form of a quadratic is where the vertex is (h,k). Here h=-2 and k=5. So the vertex is (-2,5).
hope this helped and sorry if it didn't
adding fractions with unlike denominators
If two lines are perpendicular, their slopes are negative reciprocals.
A. True
B.False
Evaluate the expression when x = 32 and y = 2.
x over 4y
Answer:
4
Step-by-step explanation:
[tex]\frac{32}{4x2}[/tex]
[tex]\frac{32}{8}[/tex]
[tex]\frac{16}{4}[/tex]
[tex]\frac{4}{1}[/tex]
4
If the value of y varies directly with x, which function represents the relationship between x and y when y = 16/5
and X=20
A. Y=25/4x
B. Y=116/5x
C. Y=4/25x
D. Y=64x
Answer:
C. Y=4/25x
Step-by-step explanation:
If y varies directly as x, tis is expressed as;
y ∝ x
y = kx
k is the constant of proportionality
Goven
y = 16/5 and x = 20
16/5 = 20k
16 = 100k
k = 16/100
k = 4/25
Substitute k = 4/25 into the original equation
y = kx
y = 4/25 x
Hence the required expression is y = 4/25 x
Please, help me with my homework! Thank you!
Answer:
i think (17)
Step-by-step explanation:
The perimeter of this compound shape (17) when you add up the sides and find the answer to the missing side.
A line has a slope of 9 and passes through the point (4, 5). What is its equation in point-slope form?
Answer:
y - 5 = 9 (x-4)
Step-by-step explanation:
5x−7 = 3 help meee plz
Answer:
5x=3+7
5x=10
X=10/5
=2
Solve for x. Enter the solutions from least to greatest.
(x + 7)^2 - 49 = 0
Answer:
x = -14, 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Completing the SquareMultiple Roots/SolutionsStep-by-step explanation:
Step 1: Define
(x + 7)² - 49 = 0
Step 2: Solve for x
Add 49 to both sides: (x + 7)² = 49Square root both sides: x + 7 = ±7Subtract 7 on both sides: x = -7 ± 7Evaluate: x = -14, 0Step 3: Check
Plug in x values into original equation to verify they are a solution.
x = -14
Substitute in x: (-14 + 7)² - 49 = 0Add: (-7)² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = -14 is a solution of the equation
x = 0
Substitute in x: (0 + 7)² - 49 = 0Add: 7² - 49 = 0Exponents: 49 - 49 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ x = 0 is also a solution of the equation.
Answer:
Lesser x=-14 Greater x=0
Step-by-step explanation:
x+7)
2
−49
(x+7)
2
(x+7)
2
=0
=49
=
49
Hint #22 / 3
\begin{aligned} x+7&=\pm7 \\\\ x&=\pm7-7 \\ \phantom{(x + 7)^2 - 49}& \\ x=-14&\text{ or }x=0 \end{aligned}
x+7
x
(x+7)
2
−49
x=−14
=±7
=±7−7
or x=0
I came across the function y^4=x^3+x^2. What is this function called and what are its uses? Answer: This is a singular algebraic curve
No answer needed, take the points.
Answer:
urheiejdjdjdbbdbdndndndd
Answer:
x32fffffff
Step-by-step explanation:
x3f222222222
What is an equation of the line that passes through the points (-4,-4) and (4,6), answer in fully reduced form.
Use
y
2
−
y
2
x
2
−
x
1
4
−
9
2
−
3
=
−
5
−
1
=
5
Answer link
Jim G.
Jun 11, 2018
y
=
5
x
−
6
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
to calculate m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
2
,
4
)
and
(
x
2
,
y
2
)
=
(
3
,
9
)
m
=
9
−
4
3
−
2
=
5
1
=
5
y
=
5
x
+
b
←
is the partial equation
to find b substitute either of the 2 given points
into the partial equation
using
(
2
,
4
)
then
4
=
10
+
b
⇒
b
=
4
−
10
=
−
6
y
=
5
x
−
6
←
is the equation of lineAnswer:
Step-by-step explanation:
Use
y
2
−
y
2
x
2
−
x
1
4
−
9
2
−
3
=
−
5
−
1
=
5
Answer link
Jim G.
Jun 11, 2018
y
=
5
x
−
6
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
to calculate m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
2
,
4
)
and
(
x
2
,
y
2
)
=
(
3
,
9
)
m
=
9
−
4
3
−
2
=
5
1
=
5
y
=
5
x
+
b
←
is the partial equation
to find b substitute either of the 2 given points
into the partial equation
using
(
2
,
4
)
then
4
=
10
+
b
⇒
b
=
4
−
10
=
−
6
y
=
5
x
−
6
←
is the equation of line
Can someone help me so stressed
29 points
Thanks
Answer:a square
Step-by-step explanation:a square
Help me please I need assistance!
Answer:
84ft
Step-by-step explanation:
one side of the house is 14 units
since 1unit=6ft
Length of one side of her house= 14(6)=84ft
The difference between two numbers is 8. Twice the number is 4 more than the larger number. What is the smaller number?
Answer:
If the two numbers are x and y, then:
x + y = 8
18 - 2x = 4y - 2.
When we subtract y from both sides in our first equation we get:
x = 8 - y, so:
18 - 2(8 - y) = 4y - 2
18 - 16 + 2y = 4y - 2
2 + 2y = 4y - 2
2y = 4
y = 2
Since x + y = 8, and y = 2, x = 6, and since 6 > 2, the larger number is 6.
Divide 64.5 by 0.015, leaving the answer in standard form
Answer:
4.3 *10^3
Step-by-step explanation:
Find an equation for the line below
x^2 when x=5 how to work it out
Answer:
x^2 = 5^2 = 25
Answer:
mine answer/opinion is like this..............
which of the fractions 13/20, 3/5, 3/4 and 7/10 is greatest
Answer:
3/4
Step-by-step explanation:
3/4
We can change all fractions to denominator 20 to easily vary them
13/20=13/20
3/5=12/20
3/4=15/20
7/10=14/20
Is it possible to solve 1+1 in a algebraic form?
Answer:
i dont think so but 1+1=
baby 1 see theirs a daddy 1 and a mommy 1 so that =baby 1
Step-by-step explanation:
What is the value of b in the triangle shown below?
a.-4in
b.4in
c.+4in
d.no solution
Identify the vertex of
y = 2x2 − 4x − 2
vertex at
(
−
1
,
−
4
)
Explanation:
Given:
y
=
2
x
2
+
4
x
−
2
Convert the given form into "vertex form"
y
=
m
(
x
−
a
)
2
+
b
with vertex at
(
a
,
b
)
XXX
y
=
2
(
x
2
+
2
x
)
−
2
complete the square
XXX
y
=
2
(
x
2
+
2
x
+
1
)
−
2
−
2
XXX
y
=
2
(
x
+
1
)
2
−
4
XXX
y
=
2
(
x
−
(
−
1
)
)
2
+
(
−
4
)
which is the vertex form with vertex at
(
−
1
,
−
4
)
graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0
For a group of 70 people, assuming that each person is equally likely to have a birthday on each of 365 days in the year, compute (a) The expected number of days of the year that are birthdays of exactly 4 people:
Answer:
0.0157
Step-by-step explanation:
From the information given:
The sample size = 70
The expected no. of days of year that are birthday of exactly 4 people is:[tex]P = \bigg [ \dfrac{1}{365} \bigg]^4[/tex]
The expected number of days with 4 birthdays = [tex]\sum \limits ^{365}_{i=1} E(x_i)[/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ ^{70}C_{4} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{70-4} \bigg][/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ \dfrac{70!}{4!(70-4)!} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{66} \bigg][/tex]
[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ 916895 \times 5.6342 \times 10^{-11} \times 0.8343768898 \bigg][/tex]
= 0.0157
Therefore, the required probability = 0.0157
in a felony case the purpose of a grand jury is to
Answer:
In a felony case, the purpose of a grand jury is to decide if the evidence warrants prosecution. In a felony case, the purpose of a grand jury is to decide if the evidence warrants prosecution
Answer:
decide if the evidence warrants prosecution
Step-by-step explanation:
which graph represents the solution to this inequality
Answer:
C
Step-by-step explanation:
Answer
it is: C
Step-by-step explanation:
Today, there were 3 students absent from the math class. Each students that attended school solved 17 equations in math class. At the end of the class the teacher told the students that together they solved 408 equations today. How many students are this class if no one is absent?
Answer:
27 studentsStep-by-step explanation:
Number of students present in the math class:
408/17 = 24Number of students in this class:
24 + 3 = 275
What is the missing value in the following arithmetic sequence?
4
3
9.2
2
1
5.6
n
3.8
2
an
7.1
7.2
74
7.5
Answer:
C-7.4
Step-by-step explanation:
just took the test EDG2020
The nth term of an arithmetic sequence is a +(n-1)d. The missing term of the arithmetic sequence is 7.4
How to calculate the nth term of an arithmetic sequence?The nth term of an arithmetic sequence is expressed according to the formula as shown:
Tn = a + (n -1)d
where:
a is the first term = 2
d is the common difference = 3.8 -2 = 1.8
Required
Fourth term (n = 4)
Substitute
T4 = 2 + (4 -1)(1.8)
T4 = 2+3(1.8)
T4 = 7.4
Hence the missing term of the arithmetic sequence is 7.4
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ok so i know that you want brainleist but pls answer first?!
Step-by-step explanation:
[tex]Expression: \frac{40}{y - 16} [/tex]
[tex]When \: y=20, \: the \: value \: of \: the \: expression \: is \: \frac{40}{4} = 10 [/tex]
