Answer: $28,000
+$1,000
$29,000
Graph the function rule.
y = 3x + 3
Answer:
On the y axis (the vertical line titled y) graph a point at 3, then from there rise 3 and walk 1 and plot a point. keep doing this until you can graph a line.
Step-by-step explanation:
hope this helps :)
If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180º, where would point A' lie? (1, -1) (1, 1) (-4, -1) (-4, 1)
Answer:
Point A reamains unchanged.
Step-by-step explanation:
Let
A(1, -1)
B(1, 1)
C(-4, -1)
D (-4, 1)
REFLECTED OVER Y-AXIS:
When we reflected over Y-AXIS we have to change the sign of X-Coordinates of all vertices so, above given vertices becomes
A(-1, -1)
B(-1, 1)
C(4, -1)
D (4, 1)
REFLECTED OVER X-AXIS:
When we reflected over X-AXIS we have to change the sign of Y-Coordinates of all vertices so, above given vertices becomes
A(-1, 1)
B(-1, -1)
C(4, 1)
D (4,-1)
When we rotated over 180 degree than we have to change the signs of both coordinates of all vertices
A(1, -1)
B(1, 1)
C(-4, -1)
D (-4,1)
we can see that after the opertion of all three processes i.e reflected over the y-axis, reflected over the x-axis, and rotated 180ºrespectively vertices are same as original vertices so, Rectangle remain unchanged. and point A is also unchanged
Find the midpoint of the segment with the following endpoints.
(8,5) and (0, -1)
Answer:
(4,2)
Step-by-step explanation:
[tex]Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(8,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(0,\:-1\right)\\\\=\left(\frac{0+8}{2},\:\frac{-1+5}{2}\right)\\\\= (\frac{8}{2} , \frac{4}{2} )\\\\Simplify\\=\left(4,\:2\right)[/tex]
Answer:
(4,2)
Step-by-step explanation:
you know why
answer for p=2l+2w for l
Answer:
[tex]I=\frac{p-2w}{2}[/tex]
Step-by-step explanation:
[tex]p=2I+2w\\\\p-2w=2I+2w-2w\\\\p-2w=2I\\\\\frac{p-2w}{2}= I[/tex]
-3x+2<8 answer this equation
Answer:
x>-2
Step-by-step explanation:
-3x+2<8
Subtract 2 from each side
-3x+2-2<8 -2
-3x < 6
Divide each side by -3. remembering to flip the inequality
-3x/-3 >6/-3
x>-2
Sosa received $90 in gift cards to Coffee Crazee and each drink she purchases costs $4.75. Sosa also received $75 in gift cards to Fran's Frappes and each drink she purchases cost $3.25. How many drinks will Sosa have to purchase in order to have the same amount remaining on the gift cards from both shops? * 33
Answer:
90 -4.75x = 75 -3.25x
90-75= 4.75x-3.25x
x= 10
Step-by-step explanation:
Answer:
10 drinks
Step-by-step explanation:
We can set up an equation to find the amount of drinks needed, x.
[tex]90-4.75x = 75-3.25x[/tex]
Now let’s solve for x by isolating it on one side of the equation.
Subtract 75 from both sides:
[tex]15 - 4.75x = -3.25x[/tex]
Add 3.25x to both sides:
[tex]15-1.5x=0[/tex]
Add 1.5x to both sides:
[tex]15 = 1.5x[/tex]
Divide both sides by 1.5:
[tex]x = 10[/tex]
Hope this helped!
Someone please help.
2.
Scientists estimate that the distribution of the life span of the Galápagos Islands giant tortoise is
approximately normal with mean 100 years and standard deviation 15 years. Based on the estimate, which
of the following is closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?
Answer:
119.2
Step-by-step explanation:
Given the following :
Mean (m) = 100 years
Standard deviation (sd) = 15 years
closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?
Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28
Zscore = (X - mean) / standard deviation
1.28 = (X - 100) / 15
1.28 × 15 = X - 100
19.2 = X - 100
19.2 + 100 = X
X = 119.2
Using the normal distribution, it is found that an age of 119 years is closest to the 90th percentile.
-------------------
Normal Probability Distribution
The z-score formula is used, which, in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. Each z-score has a p-value associated, which represents the percentile of X.-------------------
Mean of 100 means that [tex]\mu = 100[/tex]Standard deviation of 15 means that [tex]\sigma = 15[/tex]The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.Thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 100}{15}[/tex]
[tex]X - 100 = 15(1.28)[/tex]
[tex]X = 119.2[/tex]
An age of 119 years is closest to the 90th percentile.
A similar problem is given at https://brainly.com/question/15686085
what is 2 time 30000
Answer:
60000
Step-by-step explanation:
Answer:
60,000
Step-by-step explanation:
2 times 30,000 is 60,000
A football team loses 8 yards on each of 4 consecutive plays. Find the total change in yards from where the team started. pls help fgkogijriojg
Answer:-32
Step-by-step explanation:
You times the two numbers and add a negative sign in front of it
8 would be a negative in this situation and 4 would be a positive. So the problem would look like this:
-8 x 4 = ?
For this particular problem, we would do 8 x 4 which would equal 32. Then we would try to find which one has the greater absolute value.
Absolute Value:
4 = 4
-8 = |8|
Since -8 has the greater absolute value, the answer would be negative.
The Answer: -32
A hamster running in a wheel of radius 13 cm spins the wheel at 35 revolutions per minute.
a) What is the angular velocity of the wheel? (in radians/sec)
Select an answer
b) At what linear velocity is the hamster running? (in cm/sec)
Select an answer
One revolution is completed when a fixed point on the wheel travels a distance equal to the circumference of the wheel, which is 2π (13 cm) = 26π cm.
So we have
1 rev = 26π cm
1 rev = 2π rad
1 min = 60 s
(a) The angular velocity of the wheel is
(35 rev/min) * (2π rad/rev) * (1/60 min/s) = 7π/6 rad/s
or approximately 3.665 rad/s.
(b) The linear velocity is
(35 rev/min) * (26π cm/rev) * (1/60 min/s) = 91π/6 cm/s
or roughly 47.648 cm/s.
The angular velocity of the wheel is 3.665 radians/sec.
The linear velocity is the hamster running is 47.648 cm/sec.
GivenA hamster running in a wheel of radius 13 cm spins the wheel at 35 revolutions per minute.
What is angular velocity?Angular Velocity It is defined as the rate of change in angular displacement of a particle in a circular motion.
The angular velocity of the wheel is given by;
[tex]\rm 1 \revolution = 2\pi \ radians\\\\Angular \ velocity = 35 \times 2\pi \ radians \ per \ minute\\\\Angular\ velocity = 70\pi \ radians \ per\ minute\\\\1 \ min = 60\ second\\\\Angular \ velocity = 70\pi \times \dfrac{1}{60} \\\rm \\Angular \ velocity = \dfrac{7}{6} \times 3.14 \ radians \ per \ second\\\\Angular \ velocity = 3.65\ radians \ per \ second\\\\[/tex]
The angular velocity of the wheel is 3.665 radians/sec.
What is linear velocity?Linear velocity definition deals with the measurement of an object’s velocity when it moves along a specific direction.
The linear velocity is the hamster running is given by;
[tex]\rm Linear \ velocity = 35 \times 26\pi \times \dfrac{1}{60}\\\\Linear \ velocity = 35 \times 26 \times 3.14 \times \dfrac{1}{60}\\\\ Linear \ velocity =47.648 \ cm \ per \ second[/tex]
The linear velocity is the hamster running is 47.648 cm/sec.
To know more about Angular velocity click the link given below.
https://brainly.com/question/88155
how to solve the following quadratic equations; 2L, m, o, 3a and g
Answer:
Please see the attached pictures for full solution.
Alvin is 9 years older than Elga. The sum of their ages is 89. What is Elga's age?
Answer:
Alvin: 49
Elga: 40
Step-by-step explanation:
The equation is 89 = x + (x-9).Remove the parenthesis and combine the like terms. 89 = 2x - 9Add 9 on both sides. 98 = 2x Divide by 2 on both sides. x = 4949 is the age of Alvin. (49-9) 40 is the age of Elga.Hey there!☺
[tex]Answer:\boxed{40}[/tex]
[tex]Explanation:[/tex]
Elga's age can be represented as "x". If Elga is x years old, then Alvin's age would be represented as "x+9", since Alvin is 9 years older than Elga.
Their combined age is 89. If you were to write that as an equation in terms of "x", you would have the following equation.
[tex]x+x+9=89[/tex]
Since the question is asking for Elga's age, which is x, you're going to be solving the equation for the value of x.
First add like terms: [tex]x+x+9=89 \rightarrow 2x+9=89[/tex]
Subtract both sides by 9 to leave x alone: [tex]2x+9-9=89-9 \rightarrow 2x=80[/tex]
Divide both sides by 2 to find x: [tex]\frac{2x}{2} = \frac{80}{2} \rightarrow x=40[/tex]
Since x is equal to 40, Elga is 40 years old, and Alvin would be 49 years old.
You can also check if the answer is correct by adding their ages.
[tex]40+49=89\ \br \checkmark[/tex]
Elga is 40 years old.
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
property operation of 6 { 2.7 + 4 }=6{ 4 + 2.7 }
HELP ME ASAP PLEASE!!!!!!!!!1
Find the coordinates of the midpoint of a segment with the given endpoints (7,0) and (2,4)
Answer:
[tex]MP= (4.5,2)[/tex] another way of writing [tex]MP= (\frac{9}{2}, 2)[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2})(\frac{y_1+y_2}{2})[/tex]
[tex]MP= (\frac{7+2}{2})(\frac{0+4}{2})[/tex] 7+2=9 0+1=1
[tex]MP= (\frac{9}{2})(\frac{2}{2})[/tex] MP= (4.5,2)
The coordinates of the mid - point of XY will be - M(4.5, 2)
We have two coordinate points - X(7, 0) and Y(2, 4).
We have to find the coordinates of the mid - point of the line segment XY.
What is Mid - Point Theorem?It states that a line with endpoint coordinates as - [x(1), y(1)] and
[x(2), y(2)] has its mid - point at the coordinates -
[tex]$x(m) =\frac{x(1)+x(2)}{2}[/tex]
[tex]$y(m) = \frac{y(1)+y(2)}{2}[/tex]
According to question, we have -
Assume that the coordinates of Mid - Point = M(h, k)
Coordinates of X= (7, 0)
Coordinates of Y= (2, 4)
Using the Mid - Point formula -
h = [tex]\frac{7+2}{2}[/tex] = 4.5
and
k = [tex]\frac{0+4}{2}[/tex] = 2
Hence, the coordinates of the mid - point of XY will be - M(4.5, 2)
To solve more questions on Mid - points, visit the link below -
brainly.com/question/25377004
#SPJ2
Chase watched a movie about aliens who never stop growing. Every alien is 10 centimeters tall at birth and grows exactly 8 centimeters each year.
Let y represent the number of years since birth and h represent the alien's height in centimeters.
Complete the equation that represents the relationship between y and h.
y h
5 50
6 58
7 66
8 74
h=y+
Answer:
Step-by-step explanation:
Let the height (the dependent variable) be h.
Let the independent variable (x) be y
h = 8y + 10
So at birth, these creatures are 10 cm long. At each birthday, they are another 8 cm.
Take the fifth year which is where the table begins.
y= 8*5 + 10
y = 40 + 10
y = 50 cm which is exactly what you got.
Find the value of x in the triangle shown below. Help ASAP please!! :)
This is an isosceles triangle. The two angles opposite the two equal sides are equal. With this knowledge, we now know that the angles are 61, 61, x.
We also know that the sum of all the angles of a triangle is equal to 180 degrees.
61 + 61 + x = 180.
Combine like terms.
122 + x = 180
Subtract 122 from both sides.
x = 58 degrees
[tex] {3}^{a} = \frac{1}{9} [/tex]
[tex] {3}^{b} = 9 \sqrt{3} [/tex]
[tex] {3}^{c} = \frac{1}{ \sqrt{3} } [/tex]
Work out the value of a + b + c
Select the decimal that is equivalent to 2/3
Answer:
0.66666667 or 0.6
Step-by-step explanation:
if you put [tex]\frac{2}{3}[/tex] in a calculator and convert it, it would display
0.6666 with infinite sixes.
you can also write it as:
0.6
ps ;; you would do this for any fraction, then round it.
what is 75.3% of 1394
Answer:
1049.682 is 75.3% of 1394 or as a fraction is 1049 341/500
Step-by-step explanation:
1394/x=100/75.3
(1394/x)*x=(100/75.3)*x - we multiply both sides of the equation by x
1394=1.32802124834*x - we divide both sides of the equation by (1.32802124834) to get x
1394/1.32802124834=x
1049.682=x
x=1049.682
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1049.682}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{75.3\% \: of \: 1394}[/tex]
Convert 75.3 percent into fraction
To convert a percentage to a fraction, divide it by 100
[tex] \dashrightarrow{ \sf{ \frac{75.3}{100} \times 1394}}[/tex]
Calculate
[tex] \dashrightarrow{ \boxed{ \sf{1049.682}}}[/tex]
Hope I helped!
Best regards! :D
X = 18 is a solution to this equation X + 79 = 98 Question 4 options: True False
Answer:
false
Step-by-step explanation:
-6x+8y-10x-8y
Show and explain work
Answer:
Simplify the expression.
−16x
Step-by-step explanation:
which property of equality is if 4m + n = 7 and n = 3 then, 4m + 3 = 7
Answer:
m = 1
Step-by-step explanation:
4 x 1 + 3 = 7
Answer: Addition property
Step-by-step explanation:
In the equation 4m + n = 7 , it indicates that n is 3, which means 3 has been added to it to get 4m + 3 = 7 so 3 has been added on each side.
f(3) = 6x
Help if you can?!
Find the area of a triangle with a 21 cm base and 4 cm height
Answer:
42 cm^2
Step-by-step explanation:
Base = 21 cm
Height = 4 cm
Area = [tex]\frac{base\times height}{2}[/tex]
Substitute values into the given equation
[tex]A = \frac{21\times 4}{2} \\\\A = \frac{84}{2} \\\\A = 42cm^2[/tex]
Raul and his friends, each of whom weighs 1/20 of a ton, are standing on a truck scale. The total weight shown by the scale is 3/4. How can you find the total number of people on the scale when raul and his friends are weighed?
Answer:
There are 15 friends
Step-by-step explanation:
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) in the same proportion, the rule of three applies as follows:
a ⇒ b
c ⇒ x
Then: [tex]x=\frac{c*b}{a}[/tex]
where a, b and c are known values and x is the value to be calculated.
In this case, the rule of three applies as follows: if 1/20 of a ton is the weight of 1 person, 3/4 of a ton is the weight of how many people?
[tex]number of people =\frac{\frac{3}{4} of a ton*1 person }{\frac{1}{20} of a ton}[/tex]
or, what is the same,
number of people* [tex]\frac{1}{20}[/tex] = [tex]\frac{3}{4}[/tex]
Solving:
number of people= 15
There are 15 friends
BC = 4x + 2 AB = 8x + 8 and AC = 22 Find BC
Answer:
BC = 6.8
Step-by-step explanation:
The distance from A to B, then from B to C, is the same distance as from A to C.
Thus,
AB + BC = AC
AB = 8x + 8
BC = 4x + 2
AC = 22
AB + BC = AC
(8x + 8) + (4x + 2) = 22
Expanding the parenthesis:
8x + 8 + 4x + 2 = 22
8x + 4x + 8 + 2 = 22
12x + 12 = 22
Subtracting 12 from both sides:
12x = 10
Dividing both sides by 12:
x = 10/12 = 1.2
x = 1.2
We're looking for BC. As we know,
BC = 4x + 2
Let's now put in x = 1.2 into this equation:
BC = 4x + 2
BC = 4 * 1.2 + 2
Since 4 * 1.2 is 4.8:
BC = 4.8 + 2
BC = 6.8
Answer: BC = 6.8
Place commas in the number 4978.
Answer:
4,978 because after 3 digits you have to put a coma
Answer:
4,978
Step-by-step explanation:
im doing the zero product propety and some factoring for a hw assignment but these ones i cant figure out x² - 2x - 35= 0
3x² + 14x - 5 = 0
offering brainliest
Answer:
(x-7)(x+5) for the first one. ( 3 x − 1 ) ( x + 5 ) = 0 for the second.
Step-by-step explanation: