Answer:
Gross income
Step-by-step explanation:
the gross income is whatever you earn in total, so that must be it
What is the equation of a line that has a slope of One-half and passes through point (2, –3)?
Answer: y = one-half x minus 4
Step-by-step explanation:
y = 1/2 x + b
-3 = 1/2 (2) + b
-3 = 1 + b
-3 - 1 = b
-4 = b
Find the area of the shaded region
12 cm
- 4 cm
9 cm
Find the slope of the line containing the pair of points.
(5,1) and (-5, -9)
I really need this
Answer:
1
Step-by-step explanation:
[tex]my \: dear \: \\ to \: find \: the \: slope \: of \: a \: line \: use \: the \: formular \\ slope = \frac{y2 - y1}{x2 - x1} \\ from \: the \: question \: x1 = 5 \: \: y1 = 1\: \: x2 = - 5 \: \: y2 =- 9 \\ slope = \frac{ - 9 - 1}{ - 5 - 5} = \frac{ - 10}{ - 10} = 1 \\ therefore \: slope = 1 \\ hope \: this \: helps \\ stay \: focused \: with \: your \: studies[/tex]
The sum of the first 10 terms of an arithmetic series is 100 and the sum of next 10 300 .Find the series.
Let a be the first term in the sequence, and d the common difference between consecutive terms. If aₙ denotes the n-th term in the sequence, then
a₁ = a
a₂ = a₁ + d = a + d
a₃ = a₂ + d = a + 2d
a₄ = a₃ + d = a + 3d
and so on, up to the n-th term
aₙ = a + (n - 1) d
The sum of the first 10 terms is 100, and so
[tex]\displaystyle \sum_{n=1}^{10} a_n = 100 \\ \sum_{n=1}^{10} (a + (n-1)d) = 100 \\ (a-d) \sum_{n=1}^{10} 1 + d \sum_{n=1}^{10} n = 100 \\ 10a+45d = 100[/tex]
where we use the well-known sum formulas,
[tex]\displaystyle \sum_{n=1}^N 1 = 1 + 1 + 1 + \cdots + 1 = N[/tex]
[tex]\displaystyle \sum_{n=1}^N n = 1 + 2 + 3 + \cdots + N = \frac{N(N+1)}2[/tex]
The sum of the next 10 terms is 300, so
[tex]\displaystyle \sum_{n=11}^{20} a_n = 300 \\ (a-d) \sum_{n=11}^{20} 1 + d \sum_{n=11}^{20} n = 300 \\ (a-d) \left(\sum_{n=1}^{20} 1 - \sum_{n=1}^{10} 1\right) 1 + d \left(\sum_{n=1}^{20} n - \sum_{n=1}^{10} n\right) = 300 \\ 10a+145d = 300[/tex]
Solve for a and d. Eliminating a gives
(10a + 145d) - (10a + 45d) = 300 - 100
100d = 200
d = 2
and solving for a gives
10a + 145×2 = 300
10a = 10
a = 1
So, the given sequence is simply the sequence of positive odd integers,
{1, 3, 5, 7, 9, …}
given recursively by the relation
[tex]\begin{cases}a_1 = 1 \\ a_n = a_{n-1} + 2 & \text{for }n>1\end{cases}[/tex]
and explicitly by
[tex]a_n = 1 + 2(n-1) = 2n - 1[/tex]
for n ≥ 1.
What is 10,000 written as a power with a base of 10?
Enter your answer in the boxes.
Answer:
10 to the power of 4
Step-by-step explanation:
which is bigger 25 fl oz or 1 pint
if you help it would be appreciated
#learning with brainly
Answer:
25 fl oz
Step-by-step explanation:
1 pint is equivalent to 16 fl oz, so we're left with 25 fl oz and 16 fl oz. As you can see, 25 is greater than 16, making 25 fl oz the correct answer.
What is the area of a circular cardboard piece needed for the base of a model of a volcano that is 20 centimeters tall and has a volume of 960 cubic centimeters?
Answer:
144
Step-by-step explanation:
im right:D have a good day or night
Distance between -3,-2 and 5,2
We can find the distance between two points by using distance formula,
[tex] \qquad \: D = \sf \red{\sqrt{ {(x_2 -x_1)}^{2} + {(y_2 -y_1)}^{2} }}[/tex]
Here,
x₁ = -3
x₂ = 5
y₁ = -2
y₂ = 2
Therefore,
[tex] : \implies \: D = \sf \red{\sqrt{ {(x_2 -x_1)}^{2} + {(y_2 -y_1)}^{2} }} \\ \\ : \implies \: D = \sf \sqrt{ {(5-( - 3))}^{2} + {(2 -( - 2))}^{2} }
\\ \\ : \implies \: D = \sf \sqrt{ {8}^{2} + {4}^{2} } \\ \\ : \implies \: D = \sqrt{64 + 16}
\\ \\ : \implies \: D = \sqrt{80} [/tex]
Hence the √80 = 8.94 approx is the distance between the two points (-3,-2) and (5,2).
To find :-
The distance between 2 points
Given :-Here we have been provided 2 points
(-3, -2) and (5, 2)
Solution :-[tex] (x_1,y_1) = (-3,-2) \\ (x_2,y_2) = (5,2) [/tex]
Formula to find distance is
[tex] = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } [/tex]
[tex] = \sqrt{ {(5 - ( - 3))}^{2} + {(2 - ( - 2))}^{2} } \\ = \sqrt{ {(8)}^{2} + {(4)}^{2} } \\ = \sqrt{64 + 16} \\ = \sqrt{80} \\ = 4 \sqrt{5} [/tex]
Result :-The distance between 2 points is 4√5.
[tex] \mathcal {BE \: \: BRAINLY} [/tex]
Find center and radius of this circle:
[tex](x-9)^2+(y+4)^2=25[/tex]
Answer:
Center: (9,-4)
Radius: 5
Step-by-step explanation:
Equation for a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
h=9
k=-4
r=5
center is (h,k)
to find the radius, get square root of 25
Answer:
Center is (9,-4)
Radius: 5
Step-by-step explanation:
h=9
k=-4
r=5
Question 3 of 10
which choice is equivalent to the quotient
According to the property
below?
O A -5
B. 25
C5
OD. - 5
ES
Answer: D: Square Root Of 5
Step-by-step explanation: 30/6 is 5, now fill in the sqrt symbol. Hope this helped. (This problem was one of the simpler, friendlier numbers.)
Two cables are securing a kayak to a roof rack. The forces are represented by vectors Vector u = LeftAngleBracket negative 5, 6, 3 RightAngleBracket. and Vector t = LeftAngleBracket negative 8, negative 2, 1 RightAngleBracket.. If both cables are replaced by a single cable, what vector would represent the cable?
LeftAngleBracket 3, 8, 2 RightAngleBracket.
LeftAngleBracket negative 13, 4, 4 RightAngleBracket.
LeftAngleBracket negative 3, negative 8, negative 2 RightAngleBracket.
LeftAngleBracket 13, negative 4, negative 4 RightAngleBracket.
Answer:
< –13, 4, 4 >
Step-by-step explanation:
Vector u = < –5, 6, 3 >
Vector t = < –8, –2, 1 >
-5 6 3
+ -8 -2 1
-13 4 4
Vector u + t = < –13, 4, 4 >
Answer:
B. <14,-3>
Step-by-step explanation:
Find the area (image attached) this is literally my 3 time asking
I'll help you!
Answer:
EXACT: 2.7√1.71 + 4.05 units²
APPROX: 3.5307 + 4.05 = 7.58 units²
Step-by-step explanation:
See the attached help image
Total A = 2 triangles + 1 trapezoid
Triangles
Find missing side:
2.7² + b² = 3²
b² = 3² - 2.7²
b = √1.71
Find area of triangles:
A = bh/2
A = b(2.7)/2
A = √1.71(2.7)/2
A = 1.35√1.71 units²
Trapezoid
A = (a + b)(h)/2
A = ((3-√1.71) + √1.71)(2.7)/2
A = (3)(2.7)/2
A = 4.05 units²
Total
2(1.35√1.71) + 1(4.05)
EXACT: 2.7√1.71 + 4.05 units²
APPROX: 3.5307 + 4.05 = 7.58 units²
Two of the angles in a triangle measure 17° and 153° What is the measure of the third angle?
Answer:
10
Step-by-step explanation:
153+17=170
180-170=10
also may i have help with this one
Simplify: sin^2xcos^2x-cos^2x
Answer:
-cos^4(x)
Step-by-step explanation:
Step 1: Use the Pythagorean identity : 1=cos^2(x) + sin^2(x)
1-sin^2(x) = cos^2(x)
-1+sin^2(x) = -cos^2(x)
cos^2(x) (-cos^2(x))
Step 2: Factor out common terms cos^2(x)
cos^2(x) (sin^2(x)-1)
Ans: -cos^4(x)
Is 5,000 cm greater than 5m
Answer:
Yes
Step-by-step explanation:
5,000 cm = 50m
[tex]\frac{1m}{100cm} =5000cm[/tex]
[tex]\frac{1m(5000)}{100}[/tex]
[tex]\frac{5000m}{100}[/tex]
= 50 m
hope this helps :)
50 POINTS!!! PLEASE HELP DUE SOON
A fireman needs to get water to a second-floor fire. His ladder is 30 ft long and he leans it against the vertical wall so that the top of the ladder is 27 ft above the ground.
(a) Use trigonometry to find the angle formed between the ground and the ladder. Round to the nearest tenth of a degree and show all your work.
(b) For safety reasons, the fireman wants the angle the ladder makes with the ground to be no more than 65°. Will the ladder be safe the way it is positioned? Explain.
Answer:
sorry I tried But Don't Know The Answer
PLEASE HELP howard has 3 times money as ronald if howard gives ronald $50, Ronald will then have 3 times as much as howard how much money in dollars will the two of them have together. Brainliest for answer
Answer:
$100
Step-by-step explanation:
What we know,
Howard has 3 times more money than RonaldIf Howard gives Ronald $50, Ronald will then have 3 times more money than HowardLet us assume that Ronald has $25, so Howard must have $75,
Now Howard gives $50 to Ronald, Now Ronald has $75,
Therefore our assumption is correct,
Therefore Ronald and Howard together will have $100.
Fred is baking cookies for a school
bake sale. It takes
2/3 of a cup of
sugar to
make one batch of
cookies. How many cups
of sugar
does he need to double the
recipe?
Answer: Fred needs 4/3 a cup of sugar, which can be simplified into 1 1/3.
Step-by-step explanation:
If you do 2/3 times 2/1 (because double means twice the amount) you will get 4/3, which again, can be simplified into 1 1/3.
Help solving this problem
Answer:
A=0.50
B=0.477
C=0.423<p<0.531
Step-by-step explanation:
sample size N :333
number of success X: 159
sample part of success x/n = 159/333
x=0.477 B
0.50 A Half a chance to flip a tail or head
part C:
[tex]0.477 plusminus 1.96 * \sqrt{ \frac{0.477 (1 - 0.477)}{333} } [/tex]
simplify
[tex]0.477 plusminus 1.96 * 0.0536[/tex]
expand
[tex]0.477 + 1.96 * 0.0536[/tex]
[tex]0.531[/tex]
expand minus
[tex]0.477 - 1.96 * 0.0536[/tex]
[tex]0.423[/tex]
finally answer part c
[tex]0.423 < p < 0.531[/tex]
A table showing Tickets Sold, Cost, and Total. The first row shows Child, with the entries, c, 3, and 3 c. The second row shows Adult, with entries, x, 5, 5 x. The last row shows Total, with all three entries blank.
Tickets to a baseball game cost $3 for a child’s ticket and $5 for an adult ticket. At the last game, $521 was collected when 139 people attended the game. Which value could replace x in the table so that a single-variable equation can be written and solved to determine the number of child’s tickets, c, sold?
Answer:
x = 52, c = 87
Step-by-step explanation:
Set up and then solve this system of equations:
3c + 5x = 521--->3c + 5x = 521
c + x = 139 --->3c + 3x = 417
-------------------
2x = 104
x = 52, c = 87
Answer: the answer is 139-c
graph of F(x), shown below, has the same shape as the graph of G(x) = x4, but it is shifted 4 units to the right. What is its equation?F(x) = _____
Answer:
G(x) = (x-4)⁴
Step-by-step explanation:
The equation of the graph of f(x) which is formed by shifting 4 units to the right of g(x) is f(x) = (x - 4)⁴
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given a function G(x).
G(x) = x⁴
A function F(x) is formed by shifting the graph of G(x) to the right by 4 units.
A function h(x) when shifted to the right by k units becomes h(x - c).
So the graph of G(x) when shifted to the right by 4 units becomes G(x - 4).
G(x - 4) = (x - 4)⁴
So, F(x) = (x - 4)⁴
Hence the function is F(x) = (x - 4)⁴.
Learn more about Translation of Functions here :
https://brainly.com/question/29198392
#SPJ7
55. Find the inverse function of [tex]g(x)=\log _{4}\left(x^{3}+2\right)[/tex] .
[tex]y= g(x) = \log_4 (x^3 +2)\\\\\text{Replace x with y and solve for y:}\\\\~~~~x=\log_4 (y^3 +2)\\\\\implies y^3 +2 = 4^x\\\\\implies y^3 =4^x-2\\ \\\implies y = \sqrt[3]{4^x -2}\\\\\implies f^{-1} (x) = \sqrt[3]{4^x -2}[/tex]
whai is numarates what is
Answer:
Not a proper question. But I think it's a 5
[tex] \huge \pink{ \underline{ \overline{ \: 5 \: i \: think}}}[/tex]
What was likely the purpose of the Great Enclosure?
A. To keep slaves and workers from escaping
B. To protect Zimbabweans from outside invasion
C. To separate the wealthy from the poor in society
D. To enclose cattle and horses
There are 114 cans of soup in a grocery store. The ratio of large cans of soup to small cans of soup is 12:7. A customer buys 2 large cans of soup. What is the new ratio of large cans of soup to small cans of soup in the grocery store? Choose all the correct answers. A. 3:5 B. 5:3 C. 8:5 D. 10:7 E. 35:21 F. 37:21
The ratio of the large cans to small cans shows the distribution of both cans
The new ratio of large cans of soup to small cans of soup in the grocery store is (b) 5 : 3 and (e) 35: 21
How to determine the ratio?The given parameters are:
Ratio = 12 : 7
Rewrite as:
Large : Small= 12 : 7
The number of cans is given as:
Can = 114
So, the distribution of the cans are:
Large = 12/(12 + 7) * 114
Large = 72
Small = 7/(12 + 7) * 114
Small = 42
When 2 large cans are purchased, the remaining number of cans are:
Small = 42
Large = 70
Express as ratio
Large : Small = 70 : 42
Simplify
Large : Small = 35 : 21
Large : Small = 5 : 3
Hence, the new ratio is (b) 5 : 3 and (e) 35: 21
Read more about ratio at:
https://brainly.com/question/16981404
how to solve the answers
Answer:
divide what is on the right hand side of the equal sign by what is next to x or y
Step-by-step explanation:
e.g.
2x=3
x=3/2
fraction:3/2
decimal: 1.5
Answer:
divide what is on the right hand side of the equal sign by what is next to x or y
Step-by-step explanation:
3. Subtract
x)--5x2 + x-2
g(x) = -3x2 + 3x + 9 9
Step-by-step explanation:
For example: Subtract 4x - 10y + 15z from 5x + 8y - 20z.
Step 1: Arrange the polynomials in standard form. In this example, it is already arranged.
Step 2: Place them horizontally.
(4x - 10y + 15z) - (5x + 8y - 20z)
Step 3: Change the sign of the second polynomial through the parentheses.
4x - 10y + 15z - 5x - 8y + 20z
Step 4: Arrange the like terms together.
4x - 5x - 10y - 8y + 15z + 20z
Step 5: Solve the equation
-x - 18y + 35z
Therefore, when we subtract 4x - 10y + 15z from 5x + 8y - 20z = -x - 18y + 35z.
Jim is 8 ft 9 in tall. Jane is 23.5 in tall. How many times taller than Jane is Jim?
please help me with these questions , thank you
Answer:
1. 4[tex]x^{3}[/tex] + 26x² + 4x - 48
2. 2[tex]x^{3}[/tex] - 23x² + 60x - 32
3. [tex]x^{5}[/tex] + 7[tex]x^{3}[/tex] - 4x + 2[tex]x^{4}[/tex] + 14x² - 8
4. 2[tex]x^{7}[/tex] + [tex]x^{6}[/tex] - 28[tex]x^{5}[/tex] + 3x + 12
Step-by-step explanation:
To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.
1) Distribute the parenthesis (x + 6):
x(4x² + 2x - 8) + 6(4x² + 2x - 8)
4[tex]x^{3}[/tex] + 2x² -8x + 6(4x² + 2x -8)
4[tex]x^{3}[/tex] + 2x² -8x + 24x² + 12x - 48
Combine like terms:
4[tex]x^{3}[/tex] + 26x² + 4x - 48
2) Distribute the parenthesis (x - 8):
x(2x² - 7x + 4) + (-8)(2x² - 7x + 4)
2[tex]x^{3}[/tex] - 7x² + 4x + (-8)(2x² - 7x + 4)
2[tex]x^{3}[/tex] - 7x² + 4x + -16x² + 56x - 32
Combine like terms:
2[tex]x^{3}[/tex] - 23x² + 60x - 32
3) Distribute the parenthesis (x + 2):
x([tex]x^{4}[/tex] + 7x² - 4) + 2([tex]x^{4}[/tex] + 7x² - 4)
[tex]x^{5}[/tex] + 7[tex]x^{3}[/tex] - 4x + 2([tex]x^{4}[/tex] + 7x² - 4)
[tex]x^{5}[/tex] + 7[tex]x^{3}[/tex] - 4x + 2[tex]x^{4}[/tex] + 14x² - 8
No like terms to combine, so:
[tex]x^{5}[/tex] + 7[tex]x^{3}[/tex] - 4x + 2[tex]x^{4}[/tex] + 14x² - 8
4) Distribute the parenthesis (x + 4):
x(2[tex]x^{6}[/tex] - 7[tex]x^{5}[/tex] + 3) + 4(2[tex]x^{6}[/tex] - 7[tex]x^{5}[/tex] + 3)
2[tex]x^{7}[/tex] - 7[tex]x^{6}[/tex] + 3x + 4(2[tex]x^{6}[/tex] - 7[tex]x^{5}[/tex] + 3)
2[tex]x^{7}[/tex] - 7[tex]x^{6}[/tex] + 3x + 8 [tex]x^{6}[/tex] - 28[tex]x^{5}[/tex] + 12
Combine like terms:
2[tex]x^{7}[/tex] + [tex]x^{6}[/tex] - 28[tex]x^{5}[/tex] + 3x + 12
hope this helps!