Answer: X = -12
Step-by-step explanation:
-4x-16=32
We move all terms to the left:
-4x-16-(32)=0
We add all the numbers together, and all the variables
-4x-48=0
We move all terms containing x to the left, all other terms to the right
-4x=48
x=48/-4
x=-12
Answer:
x=12
Step-by-step explanation:
Given,
4x-16=32
4x=32+16(We transpose LHS to RHS)
4x=48
x=48/4
x=12
Hence, the answer is 12
Please hurry and answer these questions, I don't have much time!
Max Points: 100,
I will also give brainliest.
Answer:
1. 20 minutes (segment A)
2. 40 minutes (segment B)
3. 10 minutes (segment C)
4. 10 minutes (Segment D minus Segment B)
5. Segments C & E (approaching x axis)
6. Segment A (greatest slope)
7. 115 minutes
Jude types 840 characters in 5 minutes. What is her typing rate in characters per minute?
The slope of line p q is (v – z) divided by . the slope of line p prime q prime is divided by (w a) – (x a). both lines have a slope that is divided by . therefore, the lines are .
The slope of Line P Q is (v - z) divided by (w - x). The slope of Line P prime Q prime is
(v + b) - (z +b) divided by (w + a) - (x + a). Both lines have a slope that is (v - z) divided by (w - x). Therefore, the lines are parallel.
Slope of line :
Line slope is a measure of the slope and direction of a line. Finding the slope of a line in the coordinate plane helps predict whether the line is parallel or perpendicular without actually using a compass. The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of the line.
The formula for the slope is
m = (y₂ - y₁)/ (x₂ - x₁)
Where (x₁, y₁) and (x₂, y₂) are the points
We have given a line PQ passing through points (x,z ) and (w,v) then slope of line is
m = ( v- z)/(w-x) --(1)
that is line lie in XZ- plane .
The slope of line p prime and q prime
m' = (( v- b) - (z-b))/(w-a)- (x-a)
= (v -b -z + b) /(w-a -x + a)
= (v-z)/(w-x) --(2)
from (1) and (2) we get , m = m'
So, both lines are parallel lines .
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Complete question:
The slope of Line P Q is (v - z) divided by ________. The slope of Line P prime Q prime is _________ divided by (w + a) - (x + a). Both lines have a slope that is _______ divided by _______. Therefore, the lines are _______.
Answer: in the picture
Step-by-step explanation:
The number of badgers in a forest increases
by 20% each year.
This year, there are 200 badgers in the forest.
Calculate the number of badgers that there will
be in the forest
a) after 1 year.
b) after 2 years.
By evaluating the exponential equation for the population:
P(x) = 200*(1.2)^x
We will get:
a) 240 badgers
b) 288 badgers
How to calculate the number of badgers after x years?We know that the number of badgers increases by 20% each year, that increase after x years is given by the exponential equation:
P(x) = A*(1 + 20%/100%)^x
P(x) = A*(1.2)^x
Where A is the initial amount.
Here we know that the initial population of badgers is 200, then we have:
P(x) = 200*(1.2)^x
a) To find the population after one year, we need to evaluate the exponential equation in x = 1, we will get:
P(1) = 200*1.2^1 =240
b) The population after 2 years is:
P(2) = 200*1.2^2 = 288
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Select all of the following that are quadratic equations. 2 x2+ 12 x = 0 x2 - 2 x = 4 x + 1 x3 - 6 x2 + 8 = 0 5 x - 3 = 0 5 x - 1 = 3 x + 8 9 x2 + 6 x - 3 = 0
Answer:x2 - 2x = 4x + 1" and "9x2 + 6x - 3 = 0
Step-by-step explanation: that will be your quadratic equation
Jimm tossed a die several times. He got the number "3" on 8 of the tosses. What is the best estimate of the total number of times he tossed the die?
The number of times to get a 3 will be 24 times.
What is the best estimate of the total number of times he tossed the die 64 times?It should be noted that the expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables
In this case, Jimm tossed a die several times and he got the number "3" on 8 of the tosses.
Therefore, when there are 64 tosses, the estimate will be:
= 3/8 × 64
= 3 × 8
= 24
The number of times is 24.
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Jimm tossed a die several times. He got the number "3" on 8 of the tosses. What is the best estimate of the total number of times he tossed the die 64 times?
find the gradient of the line below
The gradient of the line in the given graph is 1/2.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
From the graph, let us consider two points from where the line is passing.
(-2, 3) and (2, 5).
Gradient is nothing but slope of the line.
m=5-3/2-(-2)
=2/4
=1/2
Hence, the gradient of line in the given graph is 1/2.
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The area of the triangle formed by x and y intercepts of the parabola y=0. 5(x-3)(x+k).
The possible values of k are -0.56, -3.56, -2, and -1.
We have the equation of the parabola, y=0.5(x-3)(x+k)
When we Substitute x=0, we get that y=0.5*(-3) * k for instance y = -1.5k
So, the y-intercept is (0,-1.5k).
We will now substitute y=0, 0=0.5(x-3)(x+k) for instance 0=0.5(x-3)(x+k) x=3 and x=-k
So, the x-intercepts are (3,0) and (-k,0).
We can see that 'k' cannot be 0 or -3 since height = 0 if k=0, which is not conceivable. If k = -3, the base is also 0, which is not feasible.
We know that area of a triangle is 1/2*base*height
when we substitute we will get
1.5=1/2*(3+k) *(1.5k)
3=4.5k+1.5k^2
k=-0.56 and k=-3.56
or
1.5=1/2*(-3-k) *(1.5k)
3=-4.5k-1.5k^2
k=-2 and k=-1
hence the possible values of k will be -0.56, -3.56, -2, and -1.
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Your question is incomplete, most probably the full question was:
The area of the triangle formed by x− and y− intercepts of the parabola y=0.5(x−3)(x+k) is equal to 1.5 square units. Find all possible values of k.
△ABC has the verticies at A(4,5) B(-3,6) and C(-1,8)
the following transformations have been done to the triangle in that order...
rotated 90 degrees
reflected across the line y=0
then translated according to the rule (x+3,y-3)
The required coordinates of the vertices of △ABC after it has been rotated 90 degrees, reflected across the line y=0, and then translated according to the rule (x+3,y-3) are A''' = [8, 1], B''' = [-3, -6], and C''' = [-5, -4].
To determine the coordinates of the vertices of △ABC after it has been rotated 90 degrees, reflected across the line y=0, and then translated according to the rule (x+3,y-3), we need to apply these transformations to the coordinates of the original vertices in the order given.
First, we rotate the triangle 90 degrees counterclockwise around the origin. This transformation can be represented by the matrix:[cos(90) -sin(90)][sin(90) cos(90)]
Applying this matrix to the coordinates of the vertices of △ABC, we get:A' = [-5, 4]B' = [6, -3]C' = [8, -1]
Next, we reflect the triangle across the line y=0.
This transformation can be represented by the matrix:[-1 0][0 1]
Applying this matrix to the coordinates of the vertices of △ABC', we get:A'' = [5, 4]B'' = [-6, -3]C'' = [-8, -1]
Finally, we translate the triangle according to the rule (x+3,y-3).
This transformation can be represented by the matrix:[1 0][0 1]
Applying this matrix to the coordinates of the vertices of △ABC'', we get:A''' = [8, 1]B''' = [-3, -6]C''' = [-5, -4]
Therefore, the coordinates of the vertices of △ABC after given transformations are A''' = [8, 1], B''' = [-3, -6], and C''' = [-5, -4].
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From a hot-air balloon, Adriel measures a 22° angle of depression to a landmark
that's 743 feet away, measuring horizontally. What's the balloon's vertical distance
above the ground? Round your answer to the nearest hundredth of a foot if necessary.
The balloon's vertical distance above the ground is 300.19 feet.
What is angle of depression?
If the line of sight is directed downward from the horizontal line, then an angle is created with the horizontal line. The angle produced between the horizontal line and the observer's line of sight is known as the angle of depression if the object being observed is below the observer's level.
Given that a balloon make 22° angle with a fixed point. The horizontal distance of the balloon along the ground is 743 feet.
Here need to find the vertical distance.
To find the vertical distance, use tangent of 22°. The tangent of angle is the ratio of vertical distance to horizontal distance.
Therefore,
tan 22° = vertical distance/ horizontal distance
tan 22° = vertical distance/ 743
Multiply both sides by 743:
vertical distance = 743 × tan 22°
vertical distance = 300.191
vertical distance = 300.19 ( rounding to the nearest hundredth)
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Help me please!! Ill rate 5/5 for whoever answers first
Answer:
7) d (21)
6) a (102)
Step-by-step explanation:
For the first question, we should start with what we know first:
When angles are complementary then, their angles add up to 90.
So here we have 69 + something = 90.
We find out that the missing angle (angle B) is 21.
For this second question, we know that a straight line has an angle of 180. Here we have a straight line, but only part of the angle in which we only have 78.
Since we know 78 + x = 180
Then we can figure out that x = 102.
What are the next three terms in the sequences below?
(1). 2,5,7,12,__,__,__
(2). 9,11,20,31,__,__,__
(3). 2,5,10,50,__,__,__
(4). 1,3,3,9,__,__,__
2300 people attended a football game. If 25% of the people who attended were teenager, how many teenager attended the game? Divide/cale down to olve for the miing percent
The teenager whom attended a football game will be 575 people.
How to calculate amount of teenager?It shown that all the people whom attended a football game about 2300 people.And has been written that amount of teenager is 25% from 2300 people whom attended.Then we should know amount of 25% from 2300.We can solve it by, 2300 × 25% = 575.Then we can assume that amount of teenager whom attended there were 575 teenager.It can proved by, 25% is 1/4 from 100%. Then 575 must be 1/4 from total audience, then 575 can be multiple by 4.575 × 4 = 2300, then the answer is appropriate.Learn more about the percentage here: brainly.com/question/28144353
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Street D has a x-intercept of 5 and a y-intercept of -4. Write this street's equation in point slope form using the x-intercept as (x1,yl).
The point-slope form of the equation of Street D is; y = 0.8·(x - 5)
What is the point-slope of the equation of a straight line?The point-slope of the equation of straight line can be expressed mathematically as (y - y₁) = m·(x - x₁)
The coordinates of the point
The x-intercept of the street D = 5
The y-intercept of the street D = -4
The x-intercept is the point the graph of the equation of the street intersects the x-axis.
At the x-intercept, the y-coordinate of the point of the graph is 0, therefore, the coordinate of the x-intercept is (5, 0)
The y-intercept is the point at which the graph of the function intersects the y-axis, therefore, the x-coordinate of the graph at the y-intercept is 0
The y-intercept of the street D is therefore; (0, -4)
The slope, m, of the equation of the street is therefore;
m = (-4 - 0)/(0 - 5) = 4/5 = 0.8
The point-slope form of the equation, using the x-intercept, (5, 0) is therefore;
y - 0 = 0.8·(x - 5)
y = 0.8·(x - 5)
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please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
6
Step-by-step explanation:
The y intercept is when x=0
7) The initial fee to have a website getup using a server is $48. It costs $44 per month to maintain the
website. Write an equation that gives the total cost of setting up and maintaining the website as a
function of the number of months it is maintained.
Find the total of setting up and maintaining the website for 6 months.
Answer:
a.) c(t)=44t+48
b.) the total initial cost of setting up a website and maintaining it for 6 months is $312
Step-by-step explanation:
h
a stop sign is a regular octagon, formed by cutting triangles off the corners of a square. if a stop sign measures 36 in. from top to bottom, what is the length of each side of the octagon?
The length of each side of the sign will be 14.81-inch approx.
It is assumed that an Octagon sign is created by cutting out triangles from a square's corners, and that the stop sign's overall length is 36 inches. Since we are aware that squares have right angles on all four sides, we can use Pythagoras' theorem to solve for the side of the sign in the image below.
[tex]s^{2} =x^{2} +x^{2} \\s^{2}=2x^{2} ...................Eq.1[/tex]
Also, it is a square. So, the measurement of length from side to side
[tex]2x+s=36....................Eq.2[/tex]
solving Eq.1 we get,
[tex]s=\sqrt{2} x[/tex]...putting this value in Eq.2,
[tex]s=36-2x\\\\\sqrt{2} x=36-2x\\\\x=\frac{36}{2+\sqrt{2} }[/tex]
Putting this value of x in Eq.1,
s = 14.8
Hence, The length of each side of the sign will be 14.81-inch approx.
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Wade Boggs played professional baseball for three different teams in 18 years.
The table shows his total number of hits for each team.
the Red Sox had 2,098 hits, Yankees had 702 hits, and Devil Rays had 210 hits.
Suppose he made the same number of hits each of the 18 years. If t = total number of hits
and a = number of hits per year, which two equations can be used to determine the number
of hits he made each year? Drag these equations into the box.
The two equations that can be used to determine the number of hits that he had each year are given as follows:
t = 2098 + 702 + 210.a = t/18.How to obtain the equations?His hits by team are divided as follows:
Red Sox: 2098 hits.Yankees: 702 hits.Devil Rays: 210 hits.Then the total number of hits is obtained by the sum of the number of hits that he obtained with each of the three teams, as follows:
t = 2098 + 702 + 210 = 3010.
Then the amount of hits that he obtained each year is obtained applying the proportion, dividing t by 18, as follows:
a = t/18.
Hence the result is given as follows:
a = t/18 = 3010/18 = 167 hits per year.
Missing Information
The options are given by the image shown at the end of the answer.
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A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 320 yards wide. What is the area of the actual park, in square yards?
PLEASE HELP!!!!! 20 POINTS
The area of the rectangular park is 143360 square yards.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 hour = 60 minutes
1 minute = 60 second
1 km = 1000 m
We have,
Scale drawing of a rectangular park:
Wide = 5 inches
Length = 7 inches
Actual rectangular park:
Wide = 320 yards
Length = 448 yards
Now,
5 inches = 320 yards
7 inches = 7/5 x 320 yards
7 inches = 7 x 64 yards
7 inches = 448 yards
Now,
The area of the actual park.
= Length x Wide
= 448 x 320
= 143360 square yards.
Thus,
143360 square yards is the area of the actual park.
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Find the zeros of the equation by factoring. x2 + 9x + 20 = 0 factors should have two whole numbers separated by a: + or - . Do not type parentheses and no spaces. Examples: x+7 x-8
x=
X=
Answer:
Step-by-step explanation:
(x+4)(x+5) = 0
x = -4
x = -5
Please help me! It’s so hard
The range of the data-set in this problem has a value given as follows:
7.7.
How to calculate the range of a data-set?The range of a data-set is calculated as the difference between the largest value of the data-set and the smallest value of the data-set.
The data-set in this problem is defined as follows:
{6.2, 9.1. 2.9, 1.6, 9.3, 5.5, 8.3}
Hence to obtain it's range we have to obtain the smallest and the highest values from these values between the brackets.
The smallest value of the data-set and the highest value of the data-set are defined as follows:
Smallest value: 1.6.Highest value: 9.3.Hence the range of the data-set is given by the difference of 9.3 and 1.6, as follows:
Range = 9.3 - 1.6 = 7.7.
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DUE ASAP PLS HELP ME!!!!!!!
Answer:
A 5 and -5
Step-by-step explanation:
You take the root of both sides to solve.
Which expression is equivalent to 3/4 divided by 5/7
Answer:
Since there are no abcd options, I'll just give the answer here: 3/4 divided by 5/7 is 21/20
Step-by-step explanation:
First, we have to convert the division sign to a multiplication sign, so we do that by using the reciprocal of the second fraction:
3/4 divided by 5/7 will turn into 3/4 * 7/5
Here is how to solve that:
3 7
-- * --
4 5
3*7 is 21, and 4*5 is 20, so the final fraction is 21/20, final answer.
Please help, it’s asap!
The population standard deviation of the data is gotten from using the sum of squares and count which gave us 1.5
Population Standard DeviationStandard deviation is used to find the values of a particular data that is dispersed or scattered. Standard deviation can be defined as the deviation of the values or data from an average mean. Lower standard deviation assumes that the values are very close to their average. Meanwhile higher values mean the values are far from the mean value. Note that the value of standard deviation value can never be negative.
The data given is
5, 8, 8, 5
The formula is given as
δ = standard deviationμ = sum of squaresn = countδ = √(μ / n)
δ = √(9/4)
δ = √2.25
δ = 1.5
The standard deviation is 1.5
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How does the graph of g(x) = (x − 8)3 + 3 compare to the parent function f(x) = x3?
a. g(x) is shifted 8 units to the left and 3 units up.
b. g(x) is shifted 3 units to the right and 8 units down.
c. g(x) is shifted 8 units to the right and 3 units up.
d. g(x) is shifted 3 units to the right and 8 units up.
Answer:
The right answer is C.
Step-by-step explanation:
The parent function is:
[tex]f(x)=x^3[/tex]
If something is subtracted from variable [tex]x[/tex] it means the graph shifted toward right and something is added to [tex]y[/tex] value then the graph is shifted up.
[tex]f(x)=(x-8)^3[/tex]
graph shifted toward right by [tex]8[/tex] units right
[tex]f(x)=(x-8)^3+3[/tex]
graph shifted toward right by [tex]3[/tex] units up
Thus the new function is:
[tex]g(x)=(x-8)^3+3[/tex]
a bakery sells 5800 muffins in 2010. the bakery sells 7420 muffins in 2015. write a linear model that represents the number y of muffins that the bakery sells x years after 2010.
The required linear model is y = 5800 + 324x.
What is a linear equation?
Equations whose variables have a power of one are called linear equations.
Given, a bakery sells 5800 muffins in 2010
the bakery sells 7420 muffins in 2015
So, the number of muffins sold after 2010 through 2015:
7,420 - 5,800 = 1,620
Then, the sales per year:
1,620 muffins sold since 2010 / 5 years = 324 muffins per year.
Then our linear model will be:
y = 5800 + 324x
Hence, the required linear model is y = 5800 + 324x.
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For which of the following x-values is k(x) =80?
By reading the graph we can see that k(x) = 80 for x ∈ (5, 6]
For which value of x is k(x) = 80?Look at the graph and try to identify the line where y = 80, now move to the right until you hit the graph of k(x) (red graph).
Now, move downwards until you intercept the x-axis, that value in the x-axis is the input that gives k(x) = 80.
In this case, there is a set of values.
The open circle means taht the value does not belong to the set.
The closed circle means taht the value does belong to the set.
Then k(x) = 80 for all the values of x in the set:
(5, 6]
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Point M is the midpoint of PQ , and LM is the perpendicular bisector of PQ . Write a two-column proof to show that LP=LQ .
The two-column proof shows that LP = LQ
LP = √(LM² + PM²)
LQ² = √(LM² + PM²)
LP = LQ
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Point M is the midpoint of PQ.
This means,
PM = QM ______(A)
LM is the perpendicular bisector of PQ .
L
/ | \
/ | \
/ | \
P M Q
Applying the Pythagorean theorem.
Triangle LMP is a right triangle.
LP = LM² + PM² _____(1)
Triangle LMQ is a right triangle.
LQ² = LM² + QM² _____(2)
Thus,
From (A), (1), and (2) we get,
LP = √(LM² + PM²)
LQ² = √(LM² + PM²)
LP = LQ
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At the fisher farm, the weights of zucchini squash are normally distributed, with a mean of 5 ounces and a standard deviation of 0. 7 ounces. Which weight represents the top 10% of the zucchinis?.
Weight represents the top 10% of the zucchinis is 5.9
The formula for calculating a z-score is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
We're looking for:
Weight is 10% of zucchinis at the top.
Top 10% = 90% of the population
90th percentile Z score is 1.282.
Hence
1.282 = x - 5 / 0.7
1.282 × 0.7 = x - 5
0.8974 = x - 5
x = 5 + 0.8974
x = 5.8974
5.9 ounces, roughly.
The top 10% of the zucchinis have a weight of 5.9 ounces.
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suppose the population of the earth is doubling every 30 years. if the population of the earth is now 7 billion people, approximately how many people will be here when you are 95 years old?
Population after 95 years is more than 28 billion.
What is a growth rate?
The growth rate of a value (such as GDP, turnover, earnings, etc.) gauges how much it has changed over time (month, quarter, year). The percentage is a fairly universal way to communicate it.
Here, we have
The present size of the population is 7 billion.
Assuming that the population starts growing from the age of "0"
The number of people after 30 years is equal to two times the present population i.e 14 billion
The number of people after 60 years is equal to two times the population after 40 years i.e 28 billion
Hence, the population after 95 years is more than 28 billion.
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