Combine like terms
5x+3x-2y+2y(5+3)x+(-2+2)y8x+08xAnswer:
8x
Step-by-step explanation:
Given expression:
[tex]5x - 2y + 3x + 2y[/tex]As we know, any negative integer being added by itself is 0. [-2y + 2y = 0]
[tex]\implies 5x - 2y + 3x + 2y[/tex][tex]\implies 5x + 3x + 0[/tex]Collect like terms and simplify;
[tex]\implies 5x + 3x + 0[/tex][tex]\implies x(5 + 3) + 0[/tex][tex]\implies x(8) + 0 = \boxed{8x}[/tex]Therefore, 8x is the simplified term.
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solve by factoring x^2 + 8x =9
Answer:
[tex]x=-9,\:x=1[/tex]
Step-by-step explanation:
[tex]x^2+8x=9\\x^2+8x-9=0\\(x+9)(x-1)=0\\x=-9,\:x=1[/tex]
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = 5x/6 +5
Step-by-step explanation:
Points (-6,0) and (6,10)
Getting the slope
m = 10-0/6- (-6)
m=10/12
m=5/6
Solving for the equation:
where (-6,0) :
y-y1=m (x-x1)
y-0 = 5/6 (x- (-6))
y = 5/6 (x-+6)
y = 5x/6 +5
Answer:
y = 5x/6 + 6
Step-by-step explanation:
equation of a line is y = mx +b
m is the slope.
m = (y2- y1)/(x2-x1)
if we choose any two points in the line of the image..
p1 (6,10) -> x2 is 6, y2 is 10
p2 (0,5) -> x1 is 0, y2 is 5
m = (10-5)/(6-0)
m = (5)/(6)
m = 5/6
b is calculated when x = 0. (Where the line intercepts the y axis), Looking at the line in the image I can see that y = 6 when x = 0, so b = 6.
We have then
y = mx +b
y = (5/6)x + 6
y = 5x/6 + 6
Comedy Drama Action Horror
Day 1 5 7 3 1
Day 2 2 11 4 5
5. Based on the above chart, which conclusion can be drawn from the data?
a. Horror is the most popular genre.
b. Drama is the most popular genre.
c. People like comedies because they like to laugh.
d. People don’t like horror movies because they don’t like to be scared.
Answer:
B. Drama is the most popular genre
Step-by-step explanation:
Day 1:⇒ Comedy: 5
Drama: 7
Action: 3
Horror: 1
Day 2:⇒ Comedy: 2
Drama: 11
Action: 4
Horror: 5
With this information we can start ruling out our answer choices.A. horror is the most popular genre
Lets see, both of the sum of both days for Horror is 6, for Action is 7, Drama is 18, and Comedy is 7, with this we can conclude that horror is actually the least popular genre
B. Drama is the most popular genre
Using the information we gathered previously, we know Drama is the most popular genre, therefore this option is a high possibility.
C. People like comedies because they like to laugh
Although, I personally love comedies for this reason, this chart does not prove that people like comedies for this reason.
D. People don't like horror movies because they don't like to be scared
As for option C, the chart does not prove that is the case!
Therefore we can conclude that option B is the best choice.
Can you guys help me please :(
Answer:
720 m²
Step-by-step explanation:
Area = base × height
= 12 × 6
= 72 mm²
≈ 720 m² (1 mm = 10 m)
A circle has radius 9.5 cm. Find the length of the arc intercepted by a central angle with measure 120°
Answer:
Step-by-step explanation:
Discussion
If the radius goes through 1 rotation. The "angle" gone through is 360 degrees. So the method is to figure out circumference of the circle, multiply this by a fraction involving 120, and you are done.
Formula
Arc Length = (120/360) * 2 * pi * r Substitute values into this equation.
Givens
Central angle = 120
r = 9.5
Solution
Arc Length = (120/360) * 2 * 3.14 * 9.5
Arc Length = (0.333) * 2 * 3.14 * 9.5
Arc Length = 19.87 cm
The Smith family bought 25 raffle tickets
for a drawing sponsored by the Boys'
Club. If 1000 tickets were sold, which
fraction represents the Smiths' chance of
winning?
(1)
975
1
1
(2) 25
(
(3)
1
40
(4)
1
400
(5) 975
5
Answer:1/40
Step-by-step explanation: If the Smiths bought 25 raffle tickets, and there were 1000 sold in total, it would mean they have a 25/1000 chance. we can simplify 25/1000 into 1/40. Therefore, the answer is (3)
What Study Design method was used in the situation?
Scenario: A psychology professor is trying to determine if people in a heightened state of fear tend to have
negative views of society. The professor has 200 participants and divides them into groups based on both race
and gender. The professor then selects names from each group and places them into either the study group or
control group. The participants placed in the study group are shown scary movies then asked a series of
questions about how they feel about different societal issues. The participants placed in the control group are
asked how they feel about different societal issues.
A) Simulation
B) Experiment
C) Observational Study
D) Questionnaire
Answer:
What Study Design method was used in the situation?
Scenario: A psychology professor is trying to determine if people in a heightened state of fear tend to have
negative views of society. The professor has 200 participants and divides them into groups based on both race
and gender. The professor then selects names from each group and places them into either the study group or
control group. The participants placed in the study group are shown scary movies then asked a series of
questions about how they feel about different societal issues. The participants placed in the control group are
asked how they feel about different societal issues.
A) Simulation
B) Experiment
C) Observational Study
D) Questionnaire
Answer:
A is the answer just you the process of elimination
NO LINKS!!! Please help me with this graph. Part 6a
[tex]\large{\boxed{ \ g(x) = -\dfrac{7}{4} | x -5| +0 \ }}[/tex]
Explanation:Absolute value of a graph formula:
y = a |x -h| + kIdentify the vertex : (h, k) = (5, 0)
Take two points : (5, 0), (9, -7)
[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-7-0}{9-5} \ = \ -\dfrac{7}{4}[/tex]
Join the variables together: [tex]\bf g(x) = - \dfrac{7}{4} | x -5| +0[/tex]
Answer:
[tex]f(x) = -\dfrac{7}{4}|x-5|+0 [/tex]
Step-by-step explanation:
The function in the coordinate Plane is an absolute value function . Consider the parent function
[tex]f(x) = |x| [/tex]
Recall the properties of transformation
f(x+a), If a<0 ⇒ It moves to righta.f(x),If a<0 ⇒ It flips upsidedownf(x)+a,If a>0 ⇒ It moves up & a<0 It moves downFrom the inspection of the graph,It has moved to right by 5 units, Thus
[tex]f(x - 5) = |x - 5| [/tex]
Apparently, It has neither shifted up or down, hence
[tex]f(x - 5) +0= |x - 5|+0 [/tex]
Looking at the graph, we can see that it has been reflected vertically. It tells us we have to multiply it by a negative constant
[tex] -a f(x - 5) +0= -a |x - 5| +0[/tex]
take (9,7) to figure out a.
set x to 9 and the LHS expression to 7[tex] -a | 9- 5| =7[/tex]
Solving the equation yields:
[tex] \boxed{a = - \frac{7}{4} }[/tex]
hence, our function is [tex]\boxed{f(x) = -\dfrac{7}{4}|x-5|+0} [/tex]
what is four minus three
Answer:
1
Step-by-step explanation:
4-3 = 1
Answer:
1
Step-by-step explanation:
4-3=1
If you had 4 lollipops and you gave your friend 3 lollipops, how many would you have? 4-3=1 You could try it out at home.
help us please we need your help
Answer:
See below ~
Step-by-step explanation:
3. coordinate proof
4. exterior
5. included angle
Answer:
coordinate proof
exterior
included angle
Find the surface area of a cylinder with a height of 5 ft and a base radius of 4 ft.
Use the value 3.14 for x, and do not do any rounding.
Be sure to include the correct unit.
Answer:
A =281 ft^2
Step-by-step explanation:
A=2πrh+2πr^2
A = 2 (3.14) (4)(5) + 2 (3.14) (5)^2
A =281 ft^2
a farmer is able to harvest 300 kg of potatoes in 5 hrs.how many kilos will 3 farmers harvest in 10hrs?
Answer:
1800 kgStep-by-step explanation:
1 farmer is able to harvest 300 kg of potatoes in 5 hrs
Then
1 farmer is able to harvest (300×2 = 600) kg of potatoes in 10 hrs
therefore,
3 farmers are able to harvest (600×3 = 1800)kg of potatoes in 10 hrs
find the area of a square whose perimeter is 840m
Answer:
Area of square = 44,100 m²Step-by-step explanation:
Given :-
Perimeter of square = 840 cmTo find :-
Area of sqaureSolution :-
The find area of sqaure firstly we need to find the length of each side of the sqaure.
We know that,
Perimeter of rectangle = 4 × side
→ 840 = 4 × side
→ 840/4 = side
→ 210 m = side
Side of square is 210 m→ Area of rectangle = (Side)²
→ Area = (210)²
→ Area = 44,100 m²
Hence, Area of the square is 44,100 m²Hey ! there
Answer:
Area of square is 44100 m² .Step-by-step explanation:
In this question we are provided with a square having perimeter of square 840 m . And we are asked to find the area of square .
For finding area of square we need to find the side of square . So , we are finding the side of square by assuming it as " x " metres and then equating it with given perimeter that is 840 m .
We know that ,
[tex] \qquad \quad \underline{\boxed{\frak{Perimeter_{(Square)} = 4 \times Side }}}[/tex]
SOLUTION : -
✼ Finding Side ,
Substituting value of side as x in formula and equating it with 840 :
[tex] \quad \longmapsto \qquad \: 4 \times x = 840[/tex]
or ,
[tex] \quad \longmapsto \qquad \:4x = 840[/tex]
Dividing with 4 on both sides :
[tex] \quad \longmapsto \qquad \: \dfrac{ \cancel{4}x}{ \cancel{4}} = \cancel{ \dfrac{840}{4} }[/tex]
We get ,
[tex] \quad \longmapsto \qquad \: \underline{\boxed{\frak{x= 210 \: m}}}[/tex]
Therefore , SIDE of square is " 210 " metres .
✼ Finding Area ,
We know that ,
[tex] \: \qquad \: \qquad \: \underline{\boxed{\frak{Area_{(Square)} = Side {}^{2} }}}[/tex]
Now , substituting value of side as 210 in formula :
[tex] \quad \dashrightarrow \qquad \: (210) {}^{2} [/tex]
or ,
[tex] \quad \dashrightarrow \qquad \:210 \times 210[/tex]
Multiplying 210 two times , We get :
[tex] \quad \dashrightarrow \qquad \:\blue{\underline{\boxed{\frak{44100 \: m {}^{2} }}}} \quad \bigstar[/tex]
Henceforth , AREA of square having perimeter 840 m is ❝ 44100 square metres ❞
#Keep LearningIdentify the steps for proving ADDC.
A. 1. BD BD by the reflexive property
2. AABD=ACBD by SAS
3. ADDC by CPCTC
B. 1. BD BD by definition of an isosceles triangle
2. AABD = ACBD by SAS
3. ADDC by CPCTC
C. 1. BD BD by the reflexive property
2. AABD = ACBD by CPCTC
3. ADDC by SAS
D. 1. BD BD by definition of an isosceles triangle
2. AABD = ACBD by CPCTC
3. ADDC by SAS
which is greater, 2,670 meters or 2 kilometers? explain.
Answer: 2,670 meters
Step-by-step explanation:
2 kilometers = 2000 meters
2,670 > 2000
The greater value between 2,670 meters or 2 kilometers is 2,670 meters.
What is unit conversion?
It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We are given that;
Two measurements 2,670 meters or 2 kilometers
Now,
To compare 2,670 meters and 2 kilometers, we need to convert them to the same unit of measurement.
There are 1,000 meters in a kilometer. So 2 kilometers is equal to:
2 km * 1,000 m/km = 2,000 meters
Now we can compare 2,670 meters and 2,000 meters. We can see that 2,670 meters is greater than 2,000 meters, because 2,670 is a larger number than 2,000.
Therefore, by conversion the answer will be 2,670 meters is greater than 2 kilometers.
Learn more about the unit conversion here:
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#SPJ2
This is geometry help me
Answer:
Step-by-step explanation:
Remark
9.3 x and 60 degrees are all related to the Tangent of L or Tan(L) as you would find it on your calculator.
Givens
Opposite = 9.3Adjacent = xTheta = 60Formula
Tan(60) = opposite / Adjacent Substitute Values
Solution
Tan(60) = 9.3 / x Multiply both sides by x
x*Tan(60) = x * 9.3 /x
x* Tan(60) = 9.3 Divide both sides by Tan(60)
x * Tan(60) / Tan(60) = 9.3/Tan(60)
x = 9.3 / 1.7321
x = 5.369
Answer
x = 5.4
This figure represents a small paperweight that is to be covered on all sides with a plaid fabric.
How much fabric is needed to cover the paperweight?
Enter your answer as a decimal in the box.
cm²
HELP ASAP 50 POINTS!!!!
Find total surface area
L=4.5cmB=5cmH=3.5cmNow
TSA
2(LB+BH+LH)2(4.5×5+3.5×5+3.5×4.5)2(55.75)111.5cm²Answer:
111.5 cm²
Step-by-step explanation:
Fabric needed to cover paperweight = Surface Area
Surface Area
2(LH + BH + LB)2(5 x 3.5 + 4.5 x 3.5 + 5 x 4.5)2(17.5 + 15.75 + 22.5)2(55.75)111.5 cm²Which is a diagonal through the interior of the cube?
BE
CF
DG
GF
Answer:
CF is a diagonal through the interior of the cube.
Solve the following equation: 3t = 21
3t=21
[tex]t = \frac{21}{3} \\ t = \frac{ \cancel{{21}}{{}^{\:\:\:7}}}{\cancel3} \\ t = 7 \: \: answer[/tex]
7. Hunter has a choice between 2 pizzas: a circular pizza with a 10-inch diameter, and a square pizza with a 9-inch side. Which statement below is true? O The pizzas have the same area. The area of the square pizza is larger. The area of the circular pizza is 100 square inches The area of the circular pizza is larger.
Answer:
(b) The area of the square pizza is larger
Step-by-step explanation:
The areas can be computed using the appropriate formulas, then compared.
__
circular pizzaA = πr² . . . . . r = half the diameter
A = π(5 in)² = 25π in² ≈ 78.5 in²
square pizzaA = s² . . . . . s is the side length
A = (9 in)² = 81 in²
The area of the square pizza (81 in²) is larger than that of the circular pizza (78.5 in²).
in descending order: 0.03, 1.03, 0.13, 1.13
Answer:
1.13, 1.03, 0.13, 0.03
.....
Answer:
1.13, 1.03, 0.13, 0.03.
Step-by-step explanation:
Highest value is 1.13 and lowest is 0.03.
Someone please check my work 1-4 please, correct my answers if they are incorrect. Thank you.
Help me with the 2 problems
9.
no
he has to put -484 to the left of the equal sign too
z + 484 -484 = 964 - 484
z = 480
10.
a.
310,000 + x = 465,000
x = 465,000 - 310,000
x = 155,000
b.
310,000x = 930,000
x = 930,000 ÷ 310,000
x = 3
denny's average heart rate is 120 beats per minute what is the ratio of his heart beats per minute with heart beat per second?
What set of transformations could be applied to rectangle ABCD to create A″B″C″D″?
A composite transformation is the production of the image of a figure through two or more transformation
The set of transformations that could be applied to rectangle ABCD to create rectangle A'B'C'D' is the second option;
Reflected over the y-axis and rotated 180°The reason the above selected option is correct is as follows:
Known parameters:
The given coordinates of the vertices of the preimage of the rectangle ABCD are; A(-4, 2), B(-4, 1), C(-1, 1), and D(-1, 2)
The given coordinates of the vertices of the image of the rectangle ABCD, which is rectangle A'B'C'D' are; A'(-4, -2), B'(-4, -1), C'(-1, -1), and D'(-1, -2)
Solution:
The form of the ordered pair of the vertices of the pre-image is negative value for x, positive value for y, which can be written as (-x, y), where x, and y, are positive numbers
The form of the ordered pair of the vertices of the image is (-x, -y)
The location of a point (-x, y) following a reflection over the y-axis is the point (x, y)
The location of a point (x, y) following a 180° rotation is the point (-x, -y)
Therefore, the set of transformations that can be applied to (-x, y), to create (-x, -y), is a reflection over the y-axis, followed by a rotation of 180
Which gives;
The set of transformations that transforms A(-4, 2) to create A'(-4, -2), B(-4, 1), to create B'(-4, -1), C(-1, 1), to create C'(-1, 1), and D(-1, 2), to create D'(-1, -2) is a reflection over the y-axis followed by a rotation of 180°.Therefore, the correct option is; Reflected over the y-axis and rotated 180°
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Answer: B is your correct answer!
Step-by-step explanation:
Solve the following porportion.
x/25 = 2/5 x=
=========================================
Work Shown:
x/25 = 2/5
5x = 25*2
5x = 50
x = 50/5
x = 10
------------
Another approach:
x/25 = 2/5
x/25 = (2*5)/(5*5)
x/25 = 10/25
x = 10
------------
Yet another method:
x/25 = 2/5
x/25 = 0.4
x = 25*0.4
x = 10
What is the reference angle for 292°?
O A. 12°
O B. 22°
O C. 68°
O D. 78°
C. 68°
292° lies on 4th quadrant.
Reference angle:1st quadrant: angle
2nd quadrant: 180° - angle
3rd quadrant: angle - 180°
4th quadrant: 360° - angle
So, reference angle: 360° - 292° = 68°
On the coordinate plane shown below, points H and F have coordinates ( − 2 , − 3 ) and ( − 4 , 2 ) , respectively. Use the distance formula to determine the straight line distance between points H and F . In your final answer, include all of your calculations.
Answer:
[tex]\sf \sqrt{29}[/tex]
Step-by-step explanation:
To find the distance between points H(-2, -3) and F(-4, 2), use the distance formula.
[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where:\\ \phantom{ww}$\bullet$ $d$ is the distance between two points. \\\phantom{ww}$\bullet$ $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}[/tex]
Substitute the points into the distance formula and solve for d:
[tex]\begin{aligned}d&=\sqrt{(x_F-x_H)^2+(y_F-y_H)^2}\\\\&=\sqrt{(-4-(-2))^2+(2-(-3))^2}\\\\&=\sqrt{(-4+2)^2+(2+3)^2}\\\\&=\sqrt{(-2)^2+(5)^2}\\\\&=\sqrt{4+25}\\\\&=\sqrt{29}\end{aligned}[/tex]
Therefore, the exact distance between points H and F is [tex]\sf \sqrt{29}[/tex].
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Find the 58" term of the following arithmetic sequence.
7, 15, 23, 31, …
See the file attached!!
Hope it helps:)
A textbook has `428` numbered pages, starting with 1.
You are equally likely to stop on any of the pages if you flip through the book randomly.
If you repeat this experiment `50` times, about how many times do you expect to turn to an even-numbered page?