The slope of the graph is 745 and the y-intercept of the graph is 500
How to determine the slope?The points are given as:
(2, 1990) (5, 4225) (9, 7205)
The slope is calculated using:
m = (y2 - y1)/(x2 - x1)
So, we have:
m = (4225 - 1990)/(5 - 2)
Evaluate
m = 745
This means that the amount earned per day is 745
Hence, the slope of the graph is 745
How to determine the y-intercept?In (a), we have
m = 745
To calculate the y-intercept, we use the following points
(x1 , y1) = (0,y)
Recall that:
m = (y2 - y1)/(x2 - x1)
So, we have:
745 = (4225 - y)/(5 - 0)
Evaluate the difference
745 = (4225 - y)/(5)
Multiply both sides by 5
3725 = 4225 - y
Solve for y
y = 500
This means that the initial amount earned is 745
Hence, the y-intercept of the graph is 500
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The triangle and the trapezoid have the same area what is the base b of the triangle
Answer:
b =22
Step-by-step explanation:
The formula to calculate the area of a trapezoid:
1/2*(a+b)*h : (a: base, b: base, h: height)
The formula to calculate the area of a triangle:
1/2*a*h (a: base, h: height)
All inputs are given for trapezoid so let's first find the area of trapezoid then we can find the value of b:
1/2*(10+12)*7 = 77 cm^2 is the area of trapezoid
now for the area of triangle:
1/2*b*7 = 77 (it was given that the areas are equal)
first we multiply both sides by 2
7*b = 154 now divide both sides by 7
b = 22
Help me I need the answer on paper help me now
Answer:
a) k = 10 b) k = 7.5
Step-by-step explanation:
a)
( 5k+ 20 ) + ( 7k + 40 ) = 180
12k + 60 = 180
12k = 120
k = 10
b)40 + ( 12k + 10) + 180 - ( 8k + 80 ) = 180
50 + 12k + 180 - 8k - 80 = 180
50 + 12k -8k - 80 = 0
50 + 4k - 80 = 0
30 = 4k
k = 7.5
The sum of multiples of five from 10 to 75, inclusive.
The asked sum of multiples of five from 10 to 75, inclusive, is 595.
To find the sum of multiples of five from 10 to 75, inclusive, we can use the formula for the sum of an arithmetic series:
Sum = (n/2) * ([first term] + [last term])
Following the given case, the first term (a) is 10, the last term (l) is 75, and the common difference (d) between consecutive terms is 5 (since we are considering multiples of five).
The number of terms (n) can be calculated as:
n = (last term - first term) / common difference + 1
Let's calculate the number of terms first:
n = (75 - 10) / 5 + 1
n = 65 / 5 + 1
n = 13 + 1
n = 14
Now, we can determine the sum of the multiples of five:
Sum = (14/2) * (first term + last term)
Sum = 7 * (10 + 75)
Sum = 7 * 85
Sum = 595
Therefore, the asked sum of multiples of five from 10 to 75, inclusive, is 595.
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60 . 25 ,20 15 . ?
Answer:
15, 21, 27, 33, 39, 45, 51 67, 59, 51, 43, 35, 27, 19
20, 27, 34, 41, 48, 55, 62 64, 58, 52, 46, 40, 34, 28
66, 60, 54, 48, 42, 36, 30 6, 12, 18, 24, 30, 36, 42
72, 68, 64, 60, 56, 52, 48 5, 13, 21, 29, 37, 45, 53
50, 47, 44, 41, 38, 35, 32 12, 15, 18, 21, 24, 27, 30
60, 55, 50, 45, 40, 35, 30 19, 22, 25, 28, 31, 34, 37
54, 52, 50, 48, 46, 44, 42 8, 9, 10, 11, 12, 13, 14
69, 62, 55, 48, 41, 34, 27 2, 9, 16, 23, 30, 37, 44
24, 26, 28, 30, 32, 34, 36 3, 7, 11, 15, 19, 23, 27
52, 50, 48, 46, 44, 42, 40 16, 19, 22, 25, 28, 31, 34
70, 65, 60, 55, 50, 45, 40 55, 54, 53, 52, 51, 50, 49
4, 12, 20, 28, 36, 44, 52 11, 15, 19, 23, 27, 31, 35
21, 28, 35, 42, 49, 56, 63 61, 60, 59, 58, 57, 56, 55
10, 15, 20, 25, 30, 35, 40 18, 19, 20, 21, 22, 23, 24
25, 33, 41, 49, 57, 65, 73 58, 56, 54, 52, 50, 48, 46
yan yung bilang TXS me later ;-)
Is ab parallel to cd? explain.
yes, because both lines have a slope of 4/3.
yes, because both lines have a slope of 3/4
no, because the slopes of the lines are not equal.
no, because the slopes of the lines are not opposite reciprocals of each other.
don't copy answers off of sites, otherwise i'd report you
Both lines are parallel because: A. both lines have a slope of 4/3.
What is the Slope of a Line?The slope of a line = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
The slope of parallel lines are the same, while the slope of perpendicular lines are negative reciprocals.
Slope of AB = 4 units/3 units = 4/3
Slope of CD = 4 units/3 units = 4/3
Both lines have the same slope, therefore, they are parallel to each other.
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Which best describes a random sample?
A.) a sample in which the elements are chosen by chance
B.) a sample in which the chosen elements are predetermined
C.) a sample in which each element of the populations chose
D.) a sample in which the chosen elements are removed from the population once they are chisen
A random sample is a sample in which the chosen elements are removed from the population once they are chosen.
What is a random sample?A sample is a smaller group of the population that has the desired elements of the population. A sample is sometimes necessary because it might not be feasible or cost effective to access the whole population.
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What is the greatest common factor of 12, 2, and 84?
Answer:
2
Step-by-step explanation:
2 can go into 12,2, and 84
To obtain the greatest common divisor of (g.c.d) we must do it in simultaneous decomposition.
This method consists of extracting the common and uncommon prime factors, then
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{12 \ \ \ 2 \ \ \ 84}\\ \ 6 \ \ \ 1 \ \ \ 42 \end{matrix}\right|\begin{matrix} 2\\ \: \end{matrix} \end{gathered}$}[/tex]
As we can see the number 2, is the only common prime number.
The greatest common factor of 12, 2, and 84 is 2.
What is the area of the shaded region?
O 21 mm²
O24 mm²
O 42 mm²
48 mm²
What is the slope of the line shown below (3 9)(-4 2)
Answer:
slope = 1
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 9 ) and (x₂, y₂ ) = (- 4, 2 )
m = [tex]\frac{2-9}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1
Bo is flying a kite, holding his hands a distance of 3.5 feet above the ground and
letting all the kite's string play out. He measures the angle of elevation from his hand
to the kite to be 29°. If the string from the kite to his hand is 110 feet long, how many
feet is the kite above the ground? Round your answer to the nearest tenth of a foot if
necessary.
The height of the kite will be 53.32 feet above the ground.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
The boy is flying a kite, holding his hands a distance of 3.5 feet above the ground andletting all the kite's strings play out. He measures the angle of elevation from his hand to the kite to be 29°. If the string from the kite to his hand is 110 feet long, what is the total vertical height?The height of the kite above the ground will be calculated as:-
[tex]Sin\theta = \dfrac{perpendicular}{Hypotenuse}[/tex]
[tex]Sin(29)=\dfrac{H}{110}[/tex]
H = Sin(29) x 110
H = 53.32 feet
The hand of the boy is 3.5 above the ground so the total height H(t) of the kite above the ground will be:-
H(t) = 53.232 + 3.5
H(t) = 56.28 feet.
Therefore the height of the kite will be 53.32 feet above the ground.
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Answer:
Step-by-step explanation:
\text{What function uses the \color{green}{\textbf{O}PPOSITE} and the \color{#EB0000}{HYPOTENUSE}?}
What function uses the OPPOSITE and the HYPOTENUSE?
\text{\Large \underline{S}\color{green}{O}\color{#EB0000}{H}-CAH-TOA}
S
OH-CAH-TOA
\text{sin }\color{purple}{29}=\frac{\color{green}{\text{opposite}}}{\color{#EB0000}{\text{hypotenuse}}}=\frac{\color{green}{x}}{\color{#EB0000}{110}}
sin 29=
hypotenuse
opposite
=
110
x
\text{sin }29=
sin 29=
\,\,\frac{x}{110}
110
x
\frac{\text{sin }29}{1}=
1
sin 29
=
\,\,\frac{x}{110}
110
x
110\text{ sin }29=
110 sin 29=
\,\,x
x
Cross multiply.
x=53.329058...
x=53.329058...
Type into calculator.
\text{Add 3.5, the distance from the ground to his hand:}
Add 3.5, the distance from the ground to his hand:
53.329058...+3.5=
53.329058...+3.5=
\,\,56.829058...
56.829058...
\approx
≈
\,\,56.8
56.8
Round to the nearest tenth.
\text{The kite is 56.8 feet above the ground.}
The kite is 56.8 feet above the ground.
Sandeep grew 6 plants with 3 seed packets. With 11 seed packets, how many total plants can Sandeep have in his backyard? Solve using unit rates.
Answer:
22 plants
Step-by-step explanation:
Because 6/3 is 2/1 so 11 seed packets will grow 22 plants.
Ayuda por fa es para hoy
Translation: please help it's due today
Would love to help but there is no question to answer
What is the value of x in the figure below?
Answer:
The value of x in the figure is 3.5
Step-by-step explanation:
When we look at the figure, we see that AB and BC, are connected, to make a longer side of a triangle. We can also see that BC is dilated from AB. When dilating, we multiply or divide by a number, to get the extended or shortened length. (Just keep multiplication and division in mind) To get x, we can do the same that we did to get 2, from 4. From AB to BC it goes from 4 to 2.
To get 2 from 4, you must divide 4 by 2. So when we do the same thing to 7, we should get x.
7 / 2 = 3.5
The value of x in the figure is 3.5
[tex]\\ \rm\dashrightarrow \dfrac{4}{2}=\dfrac{7}{x}[/tex]
[tex]\\ \rm\dashrightarrow 2=\dfrac{7}{x}[/tex]
[tex]\\ \rm\dashrightarrow x=\dfrac{7}{2}[/tex]
[tex]\\ \rm\dashrightarrow x=3.5[/tex]
What is the probability that a person chosen at random from this group has brown or green eyes? startfraction 3 over 25 endfraction startfraction 7 over 25 endfraction startfraction 13 over 25 endfraction startfraction 17 over 25 endfraction
Using it's concept, it is found that the probability that a person chosen at random from this group has brown or green eyes is of [tex]\frac{13}{25}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, it is found that the group has 20 + 6 + 17 + 7 = 50 people, of which 20 + 6 = 26 have brown or green eyes, hence the probability is given by:
p = 26/50 = 13/25.
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hich represents the inverse of the function f(x) = 4x?
Oh(x)=x+4
Oh(x)=x-4
h(x) = ²x
h(x) = x
Answer:
[tex]h(x) = \frac{1}{4} x[/tex]
Step-by-step explanation:
To find the inverse of a function, the steps are:
Let y= f(x)Make x the subject of formulaReplace x with f⁻¹(x) and y with xIn this case, since h(x) is the inverse function of f(x), we can replace x with h(x) in step 3.
_____
f(x)= 4x
Let y= f(x) [tex]\textcolor{steelblue}{\text{ - step 1}}[/tex]
y= 4x
Divide both sides by 4:
[tex] \frac{1}{4} y = x[/tex]
[tex]x = \frac{1}{4} y \: \: \: \textcolor{steelblue}{\: \text{ - step 2}}[/tex]
Replace x with h(x) and y with x:
[tex]\bf{h(x) = \frac{1}{4} x} \: \: \: \textcolor{steelblue}{\: \text{ - step 3}}[/tex]
Additional:
For a similar question on inverse functions, do check out the following!
https://brainly.com/question/21287415What is the length of the diagonal from B to D of this rectangle? Round your answ
to the nearest tenth of a metre.
Answer: 19.7
Step-by-step explanation:
By the Pythagorean theorem,
[tex](BD)^{2}=8^{2}+18^{2}\\\\(BD)^{2}=388\\\\BD=\sqrt{388} \approx \boxed{19.7}[/tex]
Question 9
Expand and simplify (2x-7)(3x-8).
Answer:
=> Expand by applying the FOIL method
[tex]2x\cdot \:3x+2x\left(-8\right)-7\cdot \:3x-7\left(-8\right)[/tex]
=> combine like terms
[tex]6x^2-37x+56[/tex]
Pythagorean Theorem
FIRST TO ASNWER WILL GET THANKS AND WILL BE MARKED BRAINLIEST
Answer:
b=17.75 ft
Step-by-step explanation:
We will answer this using Pythagorean Theorem.
Since the bottom of a ladder is 3 feet from the wall, and the ladder is 18 ft long, the ladder is the hypotenuse. Knowing pythagorean theorem (a^2+b^2=c^2), we can plug it in.
3^2 + b^2 = 18^2
9+b^2=324
b^2=315
b=17.75 ft
Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v−
5
6
−
3
2
v+
15
4
+
3
1
v
From khan academy
The equivalent expression of [tex]-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v[/tex] is [tex]-\dfrac{15}{15}-\dfrac{v}3[/tex]
How to determine the equivalent expression?The expression is given as:
[tex]-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v[/tex]
Collect like terms
[tex]-\dfrac65+\dfrac{4}{15}+\dfrac13v-\dfrac23v[/tex]
Evaluate the like terms (take LCM)
[tex]\dfrac{-6 * 3 + 4}{15}+\dfrac{v - 2v}3[/tex]
Evaluate the like expressions
[tex]-\dfrac{15}{15}-\dfrac{v}3[/tex]
Hence, the equivalent expression of [tex]-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v[/tex] is [tex]-\dfrac{15}{15}-\dfrac{v}3[/tex]
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Question 15 of 25
What is the value of x in the diagram below?
49
LY
14
2
Which addition does the model below represent?
5 positive tiles and 3 negative tiles.
Any time we have a single positive tile pair up with a single negative tile, those two tiles cancel out.
Three positive tiles and three negative tiles will pair up and cancel out. We're left with two positive tiles only. This represents the number 2.
In other words, 5 + (-3) = 5 - 3 = 2
1. Hair Grows an average of. 5 inches in one month. At this rate, how many months will it take to grow 4 inches?
2. A person who weighs 105 pounds on earth would weigh 17.5 pounds on the moon. How much would a 150 pound astronaut weigh on the moon?
Solve the following equation:
1. 5-3x = -6(x+2)
Step-by-step explanation:
5 - 3x = -6 ( x + 2 )
5 - 3x = -6x - 12
-3x + 6x = - 12 - 5
3x = - 17
[tex]x = - \frac{17}{3} .. \\ [/tex]
Answer:
Exact Form:
x = −17/3
Decimal Form:
x = − 5.6
Mixed Number Form:
x = − 5 2/3
solve pls brainliest
Answer:
The ans of first one is 0/8 = 0
and 6÷0 = undefined....hope this helps:)
HELP!!!
A box has one red marble one blue marvel and four green marbles of the same shape and size Dan draws a marble randomly from the box places it and then draws another marble randomly what is the probability of drawing two green marbles in a row explain your answer
Answer: 1/16
Step-by-step explanation:
Given that there are 4 green marbles, when Dan takes a marble the first time, the probability is 1/4 as there are 4 green marbles. When he puts it back and draws another one, the probability is still 1/4 because Dan didn't take the marble out of the bag(this is known as with replacement)
∴ the total probability of drawing 2 green marbles with replacement is 1/4 × 1/4= 1/16
Hope this helps
(b) A bag contains five red counters and 3 blue counters. One counter is taken at random from the bag. What is the probability of obtaining a red counter?
please can your help !!!!!
Answer:
p(obtaining a red counter) = 0.625Step-by-step explanation:
The total number of counters in the bag is 5 + 3 = 8.
and only 5 are red.
Then
the probability of obtaining a red counter is :
[tex]= \frac{5}{8} = 0.625[/tex]
Whatis the tigonemtric form of -3+4i
We calculate the module:
[tex]|z|\: = \: \sqrt{( - 3) ^{2} \: + \: {4}^{2} } [/tex]
[tex]|z| \: = \: \sqrt{9 \: + \: 16} [/tex]
[tex]|z| \: = \: \sqrt{25} [/tex]
[tex] \boxed{|z| \: = \: 5}[/tex]
We calculate the angle formed by "z":
[tex] \arctan( \frac{4}{ - 3} ) \: = \: \underline{0.92729521 \: \text{rad}}[/tex]
We pass it to degrees:
[tex]0.92729521 \: \times \: \frac{180}{\pi} [/tex]
[tex] \frac{166.91313924}{\pi} [/tex]
[tex] \frac{166.91313924}{3.14159265}[/tex]
[tex] \boxed{ 53.13°}[/tex]
Now we use this formula to transform it into a trigonometric form:
[tex] \boxed{z \: = \: |z| \times \: ( \cos( \alpha) \: + \: i \: \times \: \sin( \alpha))}[/tex]
We substitute the values already obtained:[tex] \boxed{ \bold{z \: = \: 5 \times \: ( \cos( 53.13°) \: + \: i \: \times \: \sin( 53.13°))}}[/tex]
Answer:[tex] \boxed{ \bold{z \: = \: 5 \times \: ( \cos( 53.13°) \: + \: i \: \times \: \sin( 53.13°))}}[/tex]
MissSpanish-3(2t-1)=t+t+t+3 pls help
Answer:
t=0
Step-by-step explanation:
First, we expand everything. The left-hand side is -3(2t) - 1(-3), and we expand it to be -6t+3. The right-hand side is t+t+t+3, and we can reduce it to 3t+3. Now that we have both sides of the equation, we set them to each other.
-6t+3=3t+3 (subtract 3 on both sides)
-6t=3t (add 6t to both sides)
9t =0 (divide by 9)
t=0
y=-8x+1 find the slope and y-intercept in this equation.
Expand and simplify 5(3x+2)-2(4x-1)
5(3x+2)-2(4x-1)
= 15x+10-8x+2
= 7x+12