Answer:
A linear equation
Step-by-step explanation:
It just is
Answer:
Step-by-step explanation:
2x + -1y = -42
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'y' to each side of the equation.
2x + -1y + y = -42 + y
Combine like terms: -1y + y = 0
2x + 0 = -42 + y
2x = -42 + y
Divide each side by '2'.
x = -21 + 0.5y
Simplifying
x = -21 + 0.5y
hope helps you
combine these radicals
Answer:
[tex]2 \sqrt{3} [/tex]
26 Mr Hussain buys 13 kg of onions, 3½ kg of potatoes and
7 kg of cabbage. What total mass does he carry home?
Answer:
23.5kg
Step-by-step explanation:
the total mass of the things he bought is what we are asked to find.
13kg of onions+3.5kg of potatoes+7kg of cabbage is the total mass he carried home.
=23.5kg
a fair six-sided die is rolled twice. what is the probability of getting 2 on the first roll and not getting 4 on the second roll?
The probability of getting 2 on the first roll and not getting 4 on the second roll is 5/36.
The two events mentioned are independent.
Given, first event getting 2 on the first roll and second event getting 4 in second roll.
So, the first roll of the die is independent of the second roll.Therefore, the probabilities can be directly multiplied.
P (getting first 2) = 1/6
P (no second 4) = 5/6
Therefore P (getting first 2 and no second 4) = 1/6 x 5/6 = 5/36
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orthogonality on a circle suppose that ab is the diameter of a circle with center o and that c is a point on one of the two arcs joining a and b. show that ca⇀ and cb⇀ are orthogonal.
It is proved that ca⇀ and cb⇀ are orthogonal .
Let AO = - u vector , OB = u vector and OC = α vector .
According to question ,
u * u = v * v = r ^ 2 and
AC vector = AO vector + OC vector = u + v
BC vector = BO vector + OC vector v - u ,
Applying dot - product ,
( AC vector ) . ( BC vector ) = ( v + u ) . ( v - u )
= ( v . v ) - ( u . u )
= ( r ^ 2 ) - ( r ^ 2 )
= 0
Hence , AC and BC are orthogonal .
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The two triangles below are similar.
Calculate the value of x.
Give your answer as an integer or as a fraction in its simplest form
15 mm
C
3 mm
xmm
D
10 mm
Not drawn accurately
Answer:
50mm
Step-by-step explanation:
From the smaller to the larger:
Let s + the scale factor
3s = 10 Divide both sides by 3
s = [tex]\frac{10}{3}[/tex]
15[tex](\frac{10}{3})[/tex] = [tex]\frac{150}{3}[/tex] = 50
there are eight friends each friend wants five gummy bears and there are nine gummy bears and each box how many boxes will they need
At least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
What is Division by Sharing?
A technique used to introduce the idea of division is sharing equally. It entails dividing a sum equally across groups, one at a time, until each group has the same amount. When teaching division by sharing, physical objects like counters are frequently used.let the number of gummy bears bag = x
9x/8 = 5
9x = 40
x = 4.4
Thus, at least 5 bags of gummy bear bags are needed for each person to get 5 gummy bears.
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matthew wants to estimate the mean number of sales from l'oreal makeup ads. he records the number of sales from 100 randomly selected l'oreal makeup ads. what is the population?
The population is the ads selected.
What is a population?A population is a distinct group of individuals, animals, or objects that can be distinguished from one another for the purposes of data gathering and analysis in statistics and other branches of mathematics.
Now,
In the given number of sales from 100 randomly selected L'oreal Makeup ads,
The population is all the ads that are being selected for the sales, as it satisfies the definition of Population.Hence, the population is the ads selected.
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7. The histogram represents the distribution of the number of seconds it took
for each of 50 students to find the answer to a trivia question using the
internet. Which interval contains the median? (Lesson 1-3)
22
24
20
18
16
14
12
10
8
6
4
5 10 15
Time (seconds)
(A) 0 to 5 seconds
B.) 5 to 10 seconds
10 to 15 seconds
20 25 30
15 to 20 seconds
Answer: B
Step-by-step explanation:
Tulong bukas na deadlinee plss
Answer:
I don't know it like off
what's 4,1 rotated 270 clockwise?
Answer:
should be -1,4
Step-by-step explanation:
Find the slope of the line that passes through the given points.
(-4,3) and (9,-2)
m=
Answer:
m=-5/13
Step-by-step explanation:
(-4,3) and (9,-2)
y2-y1/x2-x1
-2-3/9+4
-5/13
Hope this helps!
Please mark as brainliest if correct!
HELP MEEE PLEASEEEEEEEE
Answer:
the answer is blank, don't type anything in just f a I l
Given that (-7, 2) is a point on a circle centered at (0, 2), which equation represents the circle?
If (-7,2) is a point on a circle centered at (0,2), the equation represents the circle is [tex]x^{2} +(y-2)^{2}=49[/tex]
Given,
Center of the circle = (0,2)
One point on the circle = (-7,2)
First we have to find the distance between the center and the given point
that is the radius of the circle.
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} } \\d=\sqrt{(0+7)^{2}+(2-2)^{2} } \\d=\sqrt{49}[/tex]
d= 7 units
The standard equation of the circle
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
Substitute the values in the equation
[tex](x-0)^{2}+(y-2)^{2}=7^{2} \\x^{2} +(y-2)^{2}=49[/tex]
Hence, If (-7,2) is a point on a circle centered at (0,2), the equation represents the circle is [tex]x^{2} +(y-2)^{2}=49[/tex]
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Answer:
Step-by-step explanation:
PLEASE HELP.. Sharlene purchased a new truck, whose value over time depreciates. Sharlene's truck depreciates according to the function y = 46,638(0.78)x, where x represents the number of months since the truck was purchased. What is the range of the exponential function y based on its equation and the context of the problem?
A. y ≥ 0
B. y < 46638
C. 0 < y ≤ 46638
D. ℝ
Using it's concept, the range of the given exponential function is:
C. 0 < y ≤ 46638.
What is the range of a function?The range of a function is the set that contains all possible output values for the function.
In this problem, the function is:
y = 46,638(0.78)^x.
It is an exponential function with initial value 46,638 and rate of change 0.78. Exponential functions that are not shifted down, such as this one, are never negative nor zero, hence the range also has the restriction y > 0, and is given by:
C. 0 < y ≤ 46638.
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-6/25 divided by 5 2/5 answer has to be a fraction and needed in simplest form
Answer:
-2/45
Step-by-step explanation:
Find the volume of the figure
Answer: 5 m³
Step-by-step explanation:
We will break the figure into two different parts.
Volume of a rectangular prism can be found with V = L * W * H
V = L * W * H
V = (2 m) * (1.5 m) * (1.5 m)
V = 4.5 m³
-
V = L * W * H
V = (2 m) * (2 m - 1.5 m) * (0.5 m)
V = 0.5 m³
Now, we will add them together.
4.5 m³ + 0.5 m³ = 5 m³
Answer:
5m³
Step-by-step explanation:
Hello!
You can picture this rectangular prism as a whole prism with a part removed.
The dimensions of the whole prism are 1.5m, 2m, and 2m.
The part cut out is 1m, 0.5m, and 2m.
We can find the volume of the whole rectangular prism and subtract the volume of the removed part.
Find the volume(1.5 * 2 * 2) - (1 * 0.5 * 2)6 - 15Since the units of length are meters, the volume should be represented as meters³. The volume is 5m³.
5/3 in decimal form
Algebra 1 question
Answer:
1.66...
Step-by-step explanation:
5/3=
5 * 1/3=
5 * 0.33...=1.66... ==> with bar on top of the 6
a tiny but horrible alien is standing at the top of the empire state building (which is 443443443 meters tall) and threatening to destroy the city of new york! a men in black agent is standing at ground level, 181818 meters across the street, aiming his laser gun at the alien. at what angle, in degrees, should the agent shoot his laser gun?
The angle for shooting laser gun should be 89.98°.
The vertical height where a tiny but horrible alien is standing is given as 443443443 meters. The horizontal distance of a men in black agent from building is given in the question as 181818 meters. So, let us assume the angle formed to be theta (θ).
Writing the formula for tan theta, that relates the given height and distance
Now, tan θ = vertical height ÷ horizontal distance
Keep the values in above mentioned equation of theta to find the angle.
tan θ = [tex]\frac{443443443}{181818}[/tex]
Performing division to find the tan theta and subsequently calculate the angle
tan θ = 2438.94
θ = tan⁻¹ 2438.94
Calculating tan inverse to find the value of theta
θ = 89.98°
Therefore, the angle for shooting laser gun by a men in black agent should be 89.98°.
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Torvald uses an equation to produce the following table of
ordered pairs:
X
-2
0
y
-7
-3
1
5
Which equation describes this list?
24
Answer:
x + 4
For the equation to be true, you have to input the x value and it should give you the y value that corresponds. For example, we will input -2. Hopefully we get -7
-2 + 4
2
this means that x + 4 is not correct.
What about -3x? lets see
-3(-2)
-6
nope!
2x - 3
2(-2) - 3
-4 - 3
-7!!
2x - 3 is the answer!!
Step-by-step explanation:
6. James and his
friend both started
a part-time job at
the Swimming Hole
earning $8.50 per
hour. James
worked 10 1/2
hours
his first week.
James agreed to
pay his friend $8.25
of his salary for
reimbursement of
gas. How much
money will James
have left after he
pays his friend for
gas?
The amount that James left has left after paying his friend 10% is; $80.325
How to Solve Algebra Word Problems?We are told that James and his friend both earn $8.5 per hour. Thus;
Amount earned by James per hour = $8.5
Amount earned by the friend per hour = $8.5
Total time James works in his first week = 10 ¹/₂ hours
Now, James agreed to pay his friend 1/10 of his salary
Thus, amount that James earned is;
10.5 * 8.5 = $89.25
Thus, amount he has left after paying his friend 10% is;
(100% - 10%) * $89.25 = $80.325
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I need help on number 4
Reason:
There are two mountain peaks, which show the two modes (at 0.27 and 0.31). Therefore, this data set is bimodal.
The data set is also symmetric because of the mirror line at 0.29; stuff to the left of 0.29 can be reflected over the mirror line to get the stuff on the right side.
We can rule out choice A since the curve doesn't represent a normal distribution. A normal distribution has exactly one mode only.
Choice C is ruled out because a skewed distribution isn't symmetric, and vice versa.
The data set isn't uniform since all stacks of points aren't the same height. This rules out choice E.
HELP!!
what is the answer to number 18
Answer:
c
Step-by-step explanation:
The number of solutions of the equation [tex]5x^2+7x-4=0[/tex] is 2. Option (c) is correct.
Further explanation:
The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.
The polynomial function has n roots or zeroes.
Given:
The equation is [tex]f(x)=5x^2-7x-4=0[/tex]
According to the Fundamental Theorem of Algebra the function has 2 roots
Solve the above equation to obtain the zeros.
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-7\pm \sqrt{7^2-4\cdot \:5\left(-4\right)}}{2\cdot \:5}[/tex]
[tex]\sqrt{7^2-4\cdot \:5\left(-4\right)}[/tex]
[tex]=\sqrt{129}[/tex]
[tex]x_1=\frac{-7+\sqrt{129}}{2\cdot \:5},\:x_2=\frac{-7-\sqrt{129}}{2\cdot \:5}[/tex]
so, x has 2 solutions
Answer:
options c
Step-by-step explanation:
I hope it's helpful for you to
kat is painting the edge of a triangular stage prop with reflective orange paint. the lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) feet. what is the perimeter of the triangle if x
The perimeter of the triangle is 40 feet .
Kat is painting the edge of a triangular stage prop with reflective orange paint. the lengths of the edges of the triangle are (3x – 4) feet, (x2 – 1) feet, and (2x2 – 15) and x = 4
Now , According to the question:
Let the sides of triangle be a , b , c
a = 3x -4
b = x^2 -1
c = 2x^2 - 15
x = 4
Substitute the value of x in a, b , c
a = 3 × 4 -4 = 8 feet
b = 4 × 4 -1 = 15 feet
c = 2× 4× 4 - 15 = 17 feet
The perimeter of the triangle is sum of all sides
then, a + b + c
= 17 + 15 + 8 = 40 feet
Hence, The perimeter of the triangle is 40 feet .
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A right-angled triangle and a parallelogram are shown b
13 cm
h
6 cm
The area of the parallelogram is 4 times the area of the
The perpendicular height of the parallelogram is hcm.
Find the value of h.
The height h will be equal to 13 cm for the parallelogram.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the parallelogram in a two-dimensional plane is called the area of the parallelogram.
Given that a right-angled triangle and a parallelogram are shown b
13 cm and 6 cm. The area of the parallelogram is 4 times the area of the right angle.
The height h will be calculated as,
A= 1/2 x6 x 13 = 3 x 13 =39 square
Area of the parallelogram is,
39=156cm square
156 divided by 12
h=13 cm
Therefore, the height h will be equal to 13 cm for the parallelogram.
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Simplify the following numerical expressions. |-7| - 7 = 2|-7| = (-7)2 = -72 = -7 -|-7| =
the answer of all the 5 expressions is given as : 0, 14, 49, -49, -14 respectively.
What is mathematic expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Here the given expression are :
1) |-7| - 7 :
now, here considering the modulus value of -7 as 7 that is positive only :
|-7| - 7 = 7-7 = 0
2) 2|-7| = 2x 7
2|-7| = 14
3) (-7)² = -7 x -7 = 49
4) -7² = -(7 x 7) = -49
5) -7 -|-7| = -7 - 7 = -14
it should be noted that we have considered only positive value of modulus function only.
Therefore, the answer of all the 5 expressions is given above.
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Bookmarks are on sale at a store: buy 4, get 1 free! A teacher
bought 47 bookmarks for their students. If each bookmark
costs $1.30, how much did the teacher spend on bookmarks?
LA
Enter the answer
Answer:
Step-by-step explanation:
$52.00
Evaluate 1+(-2/3)-(-m) where m =9/2
Answer:
Step-by-step explanation:
1+(-2/3)-(-9/2)\
1-2/3+9/2
29/6
Joyce buys a bus pass for the month of March for $32.55. How much does the bus pass cost per day?
Answer: $1.05
Step-by-step explanation:
March has 31 days
Hence,
[tex]\displaystyle\\32.55:31=\\\\32\frac{55}{100}*\frac{1}{31} =\\\\32\frac{11}{20} *\frac{1}{31} =\\\\\frac{(32)(20)+11}{(20)(31)} =\\\\\frac{640+11}{620} =\\\\\frac{651}{620}=[/tex]
$1.05
Calculate the value of y when the graph of y=-3x and x=-2 intercept
In a linear equation value of x and y (x, y) = ( -2 , 6) when the graph of y=-3x and x=-2 intercept .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.y= - 3x
Put x = -2 put in the equation
y = -3 * -2
y = 6
So, value of x and y (x,y) = ( -2 , 6)
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Which is traveling faster, the car or the train? be prepared to explain your reasoning.
This warm-up serves two purposes. It refreshes the concept of distance, rate, and time of travel from grade 6, preparing students to use scale drawings to solve speed-related problems.
It also allows students to estimate decimal calculations.
Students are likely to approach the question in a few different ways. As students work, notice students using each strategy.
By finding or estimating the speed of the train in miles per hour and comparing this to the speed of the car
By finding the distance the car travels in 4 hours and comparing it to the distance the train travels in 4 hours
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