Answer:
Graph the solution to this inequality on the number line.
0.3(x − 4) > -0.3
Step-by-step explanation:
nb 3 all parts pls pls very important pls and thank you!!
Step-by-step explanation:
(a)
First:
Get AE using Pythagoras
[tex] {ae}^{2} = {6}^{2} + {8}^{2} [/tex]
[tex] {ae}^{2} = 100[/tex]
AE =10
Connect OM to form Traingle AOM.
AM=5cm (AE is 10 and AM=ME meaning that they are divided into two equal parts)
AM^2=OM^2+AO^2
5^2=OM^2+4^2
OM^2=5^2-4^2
OM=3
(B) OM is parallel to BE because of midpoint theorem
The Theorem states that The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.
(C) AOM is a right angled triangle at O because angle AOM is 90°. Because OM is a perpendicular Line that bisects the chord of AB
to determine customer opinion on their service uisness depot randomly selects 130 stores during a certain week
As we first choose a cluster of the store before surveying all of the customers present in the store, they employed cluster sampling in this instance.
Describe cluster sampling and its variations?A population is divided into several clusters that are representative of homogeneous traits and have an equal chance of being included in the sample using the sampling technique known as cluster sampling.
Cluster sampling using a single stage: As the name implies, sampling only happens once.
Two-stage cluster sampling: In this case, a small number of individuals are chosen from each group by means of systematic or simple random sampling rather than the entire cluster.
Multiple stage cluster sampling: Compared to two stage sample, multiple stage cluster sampling goes one or more steps beyond. Complex clusters must be formed in order to conduct effective research across several geographies, and this can only be done by employing the multiple-stage sampling technique.
To learn more about Cluster sampling, visit:
https://brainly.com/question/20432243
#SPJ4
8×( – 7– – 9)+8 whats the answer-
-120... I would be easier if you used a scientific calculator
Answer: 24
Step-by-step explanation:
[Solve brackets first]
[tex](-7--9)\\-7+9 = 2[/tex]
[Perform the multiplication]
[tex]8[/tex] x [tex]2 = 16[/tex]
[Finally do the Addition]
[tex]16 + 8 = 24[/tex]
General Rule:
Brackets Indices Division Multiplication Addition Subtraction
[tex]Negative + Negative = Positive \\Negative + Positive = Negative[/tex]
For each situation, write an equation that will model the situation.
where he kicked
Twinkle Toes Tony kicked a football, and it landed 100 feet from
also reached a maximum height of 125 feet. Write an equation that models the path of the
ball while it was in the air.
The equation that models the path of the ball is y = -0.05·x² + 5·x.
Given,
The distance where the football landed from where it was kicked = 100 feet
The maximum height that the football reached = 125 feet
We have to write an equation that models the path of the ball while it was in the air.
The path may be parabola.
So, equation is like:
y = a·(x - h)² + k
Where;
(h, k) = The coordinate of the vertex (which is the coordinates of the highest point reached by the ball)
Therefore, taking the x-coordinate of the highest point reached by the ball as midpoint of the horizontal distance moved by the ball, we have;
The x-coordinate of the midpoint of the horizontal distance moved by the ball = (50, 0)
We have;
The coordinate of the highest point reached by the ball = (50, 125)
Therefore;
(h, k) = (50, 125)
Substituting the above values in the equation of the parabola gives;
y = a·(x - 50)² + 125
At x = 100, y = 0, which gives;
0 = a·(100 - 50)² + 125 = a·2500 + 125
0 = a·2500 + 125
a = -125/2500 = -0.05
Therefore, we have;
y = a·(x - h)² + k = y = -0.05 × (x - 50)² + 125 = -0.05·x² + 5·x - 125 + 125
y = -0.05·x² + 5·x - 125 + 125 = -0.05·x² + 5·x
y = -0.05·x² + 5·x
The equation that models the path of the ball is y = -0.05·x² + 5·x.
Learn more about equation here:
https://brainly.com/question/18733124
#SPJ1
What are the steps for using a compass and straightedge to construct the bisector of A?
Drag the steps and drop them in order from start to finish.
The correct sequence of the steps required to construct the bisector of [tex] \angle{A}[/tex] is presented as follows;
Place the point of the compass at point A and draw an arc that intersects the sides of [tex] \angle{A}[/tex]. Label the points of intersection as points B and C.Place the point of the compass on point B and draw an arc in the interior of the angleWithout changing the opening of the compass, place the point of the compass at point C and draw another arc in the interior of the angleLabel the intersection of the arcs in the interior of the angle as point D.Use the straight edge to draw [tex] \overrightarrow{AD}[/tex]What is the correct order of steps required to construct the bisector of [tex] \angle{A}[/tex]?The game given steps and their number of appearance in the question photo are;
1. Label the intersection of the arcs in the interior of the angle as point D.
2. Without changing the opening of the compass, place the point of the compass at point C and draw another arc in the interior of the angle
3. Place the point of the compass on point B and draw an arc in the interior of the angle
4. Use the straight edge to draw [tex] \overrightarrow{AD}[/tex]
5. Place the point of the compass at point A and draw an arc that intersects the sides of [tex] \angle{A}[/tex]. Label the points of intersection as points B and C.
The correct order of the steps required to construct the bisector of [tex] \angle{A}[/tex] is as follows;
Step 5 → Step 3 → Step 2 → Step 1 → Step 4
Learn more about performing geometric constructions here:
https://brainly.com/question/24753621
#SPJ1
use a scalar projection to show that the distance from a point p1sx1, y1d to the line ax 1 by 1 c − 0 is
The distance from the given point to the given line is d = 13/5 units.
Given:
Point P = (-2 , 3 )line : 3x - 4y + 5 = 0To find:
Use projection to demonstrate the given formula.Use the formula to calculate the distance between two points and lines.So,
Let us define line L as follows:
ax + by + c = 0Choose A as the fixed point on line L with the coordinates ( m, k ).
The line L now gives the coordinates of any point (x, y):
a*( x - m ) + b*( y - k ) + c = 0That was accomplished by subtracting the coordinates (x,y) from (m,k).
The dot product of constants (a, b) to vector coordinates between points (x,y) to (m,k):
( a, b ) . ( x - m, y - k) = 0For the above expression to be true, the dot product of two orthogonal vectors must be zero.
As a result, vector (a, b) is always perpendicular to every vector pointing in the direction of line L.
The vector is:
v = ( x-m , y-k)It could be the line connecting the points (x_1, y_1) and (m, k).
The magnitude of the scalar projection of v onto a gives the distance d from the point P 1: (x_1, y_1) to the line L because the latter is the duration of the side of a right triangle with two vertices being P_1 and (m, k), and the other vertex lying on L.
So:
d = | component v along x |d = | v . ( a , b ) | / | (a , b ) |d = | (x_1 - m , y_1 - k ) . ( a, b)| / sqrt(a² + b²)d = | ax_1 + by_1 - (a*m + b*k) | / sqrt(a² + b²)In which point A (m,k) is on the line;
am + bk + c = 0 c = - (am + bk)Then,
d = | ax_1 + by_1 + c | / sqrt(a² + b²)Given a point P (-2,3) and a line L, the equation is 3x - 4y + 5 = 0.
Where.
(x_1 , y_1) = (-2 , 3 )(a, b) = ( 3 , -4 )c = 5Now, calculate:
d = | 3×(-2) + -4×3 + 5 | / sqrt(3² + 4²)d = | - 13 | / 5d = 13 / 5 unitsTherefore, the distance from the given point to the given line is d = 13/5 units.
know more about the distance here:
https://brainly.com/question/17273444
#SPJ4
The correct question is given below:
Use scalar projection to show that the distance from a point P1(x1,y1) to the line ax+by+c=0 is |ax1+by1+c|/underfoot(a^2 +b^2)
Use this formula to find the distance from the point (-2,3) to the line 3x-4y+5=0
Rotate 180° then Rotate 270° CC (2,-5)
After the rotation of the point, we get the point as (5, 2)
We are given a point:
C (2, -5)
We first need to rotate it 180°.
When rotating a point 180 degrees counterclockwise about the origin our point A(x, y) becomes A'(-x, -y). So all we do is make both x and y negative.
So, we get the point as:
( - 2 , 5 )
Now, we need to rotate it 270°
The algebraic rule for a figure that is rotated 270° clockwise about the origin is (y, -x).
So, we get the point as:
(5, 2)
Therefore, after the rotation of the point, we get the point as (5, 2)
Learn more about rotation of a point here:
https://brainly.com/question/26249005
#SPJ9
I need help on this I can give 10 points.
Answer:
6 yards
Step-by-step explanation:
Answer:
[tex]5\frac{3}{4}[/tex]
Step-by-step explanation:
bottom is below, so we use a negative number
[tex]bottom = -3\frac{1}{2}\\top = 2\frac{1}{4}\\distance = top - bottom = 2\frac{1}{4} - (-3\frac{1}{2}) = 2\frac{1}{4} + 3\frac{1}{2} = 5\frac{3}{4}[/tex]
researchers studied the food‑obtaining behavior of the bird known as parus major. in the wild, the birds can obtain food by finding it themselves or by taking advantage of the efforts of other birds via scrounging (e.g., stealing the food of others, joining food patches found by others). to investigate this behavior, researchers set up a puzzle-box where the bird slides a door to the side to reveal food, and the door stays open long enough for a non-solving bird to also take some of the food. the researchers used radio-frequency identification (rfid) tags to individually track data for each bird. they also used cameras to distinguish when a bird employed the producing strategy of solving the puzzle from when a bird surrounded by taking food after a different bird solved the puzzle. the researchers examined if the birds tended to generalize across the producing and scrounging strategies, if they specialized in a strategy, or if they showed some other pattern of food‑obtaining behavior. the histogram shows the proportion of each bird's total visits to the puzzle box that were scrounges. the frequencies indicate the number of birds whose visits to the box have the specified proportion of scrounges. only birds with at least 50 visits are included.
It can be concluded that only 2 birds of species A make alarm calls and 10 do not. For species B, there are no alarm calls.
What are birds and species?A class of warm-blooded animals known as the Aves, birds are distinguished by their feathers, toothless beaked jaws, hard-shelled eggs, high metabolic rates, four chambered hearts, and robust yet light skeletons.A species is, in its most basic sense, a group of biological individuals capable of interbreeding. Birds are grouped according to how closely related they are using DNA, morphological investigations, and behavioral analysis.Now,
When food is distributed, there are only 2 birds of species A that make alarm cries, compared to 10 species that do not. In light of this, it may be said that the species does not exhibit misleading behavioral false alarm.However, when food is distributed in Species B, there are no species making alarm sounds, demonstrating that Species A is using deceit.When food is concentrated and Species B are present, there are species of A that produce alarm cries, but only 2 do not.Hence, It can be concluded that only 2 birds of species A make alarm calls and 10 do not. For species B, there are no alarm calls.
To learn more about birds and species, refer to the link: https://brainly.com/question/14962285
#SPJ4
Team Dragon's kite is 4 feet long and 3 feet across. How much fabric does it take to make their kite?
The area of a Dragon's kite with the given dimensions is 6 square feet.
Given that, team Dragon's kite is 4 feet long and 3 feet across.
We need to find how much fabric it takes to make their kite.
What is the area of the kite?The area of a kite can be defined as the amount of space enclosed or encompassed by a kite in a two-dimensional plane. Like a square, and a rhombus, a kite does not have all four sides equal.
The area of a kite is half the product of the lengths of its diagonals. The formula to determine the area of a kite is Area = ½ × d1 × d2. Here d1 and d2 are long and short diagonals of a kite.
Now, the area of Dragon's kite = 1/2 × 4 × 3=6 square feet.
Therefore, the area of a Dragon's kite with the given dimensions is 6 square feet.
To learn more about the area of a kite visit:
https://brainly.com/question/12286366.
#SPJ1
The hexagon is made from a rectangle and two identical triangles
Answer:
108cm^2
Step-by-step explanation:
Find the areas of the rectangle and the two triangles. Then add all three areas together. See image.
write an absolute value inequality. x<-8 & x>24
We get that the absolute inequality will be | x + 16 | < 8.
We are given two inequalities:
x < - 8 and x > 24
We need to write one inequality by combining both the inequalities.
We know that:
x < - 8 means that x can have any value less than - 8
x ∈ ( - ∞ , - 8 )
Also, x > 24 means that:
x ∈ ( 24 , ∞ )
So, combining these, we get that:
x = ( - ∞ , - 8 ) U ( 24 , ∞ )
Inequality will be:
| x + 16 | < 8
Therefore, we get that the absolute inequality will be | x + 16 | < 8.
Learn more about absolute inequality here:
https://brainly.com/question/11613554
#SPJ9
1. Construction workers build 54 feet of a bridge each day for 9 days. To determine whether the bridge is at least 490 feet long, can you use an estimate, or is an exact answer required? Explain.
The total length of the bridge built is less than the total length of the bridge.
How to Estimate Lengths?
We are given;
Length of bridge to be built per day = 54 feet
Number of days they built the bridge = 9 days
Thus, to find the total length that the bridge will span, we multiply the length built each day by the number of days. Thus;
Total Length of bridge = (54 * 9)
Total Length of bridge = 486 ft
Since we want to find if the bridge is at least 490 feet long. Thus, the total length of the bridge built is less than the total length of the bridge.
Read more about Estimated Lengths at; https://brainly.com/question/15048477
#SPJ1
A rectangular mat has an area of 7/12. the length of the mat is 5/6. what is the width of the mat
The width of the rectangular mat is 7/10 units.
We know that the area of rectangle is A = length × width
For given question,
Let w be the width of the rectangular mat and l be the length of the rectangular mat.
The length of the mat is 5/6.
⇒ l = 5/6
A rectangular mat has an area of 7/12.
⇒ A = l × w
⇒ 7/12 = 5/6 × w
⇒ w = 7/12 × 6/5
⇒ w = 7/10
Therefore, the width of the rectangular mat is 7/10 units.
Learn more about the area of the rectangle here:
https://brainly.com/question/20693059
#SPJ4
Jack has 150 feet of barb wire and needs to put it on 35 3/4 feet of fencing. how much barb wire can he use for each foot
Jack can use 3 3/14 feet of Barb wire used for each foot when he has 150 feet of barb wire which needs to be put on 35 3/4 feet of fencing.
We are given that:
Jack has 150 feet of Barb wire.
The fencing is:
35 3/4 feet that is equal to
= 140 / 3 feet
For each foot the Barb wire will be calculated by dividing the total Barb wire by the wire required for fencing.
So, we get that:
Barb wire used for each foot = 150 ÷ 140 / 3
Barb wire used for each foot = 450 / 140
Barb wire used for each foot = = 45 / 14
Barb wire used for each foot = 3 3/14 feet.
So, Jack can use 3 3/14 feet of Barb wire used for each foot when he has 150 feet of barb wire which needs to be put on 35 3/4 feet of fencing.
Learn more about division here:
https://brainly.com/question/25289437
#SPJ9
Lily grew 39 plants with 13 seed packets. How many seed packets does Lily need to have a
total of 69 plants in her backyard? Assume the relationship is directly proportional. (PLEASE ANSWER QUICKLY!!)
Answer:
23
Step-by-step explanation:
38/13 = 3
69/3 = 23
Marcie cooked dinner for herself. the original recipe has a serving size of 4 and requires four and four fifths pounds of chicken. how many pounds of chicken will be needed for a single serving? four fifths pounds three twenty fifths pounds one and one fifth pounds sixteen and four fifths pounds
One and one fifth pounds of chicken will be needed for a single serving.
What is Converting and Adjusting Recipes and Formulas?Adapting recipes to fit the requirements of various contexts is common. Changing the amount of individual servings a recipe yields is the most frequent cause for recipe modifications. A typical recipe, for instance, might be written to make 25 pieces. The recipe must be properly altered if a circumstance develops when 60 servings of the item are required.
Changes in portion sizes (which may entail adjusting the recipe's batch size) and improved use of the preparation tools available are two additional reasons to modify recipes (for example, you need to divide a recipe to make two half batches due to a lack of oven space).
4 servings requires 4 and 4/5th pounds = 4+4/5= 24/5 pounds
1 serving will require = 24/5 pounds / 4 = 6/5 = (1+1/5) pounds
To know more about Converting and Adjusting Recipes and Formulas, visit:
https://brainly.com/question/11371165
#SPJ4
Answer: 1 1/5
Step-by-step explanation: I took the test
Please help me please help me please help me
Answer:
5,4
Step-by-step explanation:
What is 1/2+(-5/6)+1/4 as A fiction
Answer: A=-1/12
Step-by-step explanation:
[tex]\displaystyle\\\frac{1}{2}+(-\frac{5}{6} )+\frac{1}{4}=\\\\\frac{1*6-5*2+1*3}{12} =\\\\ \frac{6-10+3}{12}= \\\\\frac{-1}{12}= \\\\-\frac{1}{12}[/tex]
What is the equation of the line that passes through the point ( 5 , 3 ) and has a slope of -4/5
The equation of the line is [tex]5y+4x-35=0[/tex]
Given,
Point is (5,3)
Slope m=-4/5
so formula of equation of line is
[tex](y-y_{1})=m(x-x_{1})[/tex]
[tex](y-3)=-4/5(x-5)[/tex]
[tex]5y-15=-4x+20\\5y+4x-15-20=0\\5y+4x-35=0[/tex]
A line's equation can be formed using the slope of the line and a point on the line. To better understand the formation of a line equation, let us learn more about the slope of the line and the required point on the line. The slope of a line is its inclination with respect to the positive x-axis, and it is expressed as a numeric integer, fraction, or the tangent of the angle it makes with respect to the positive x-axis. The term "point" refers to a coordinate system point with the x and y coordinates.
To more learn about equation of line from the given link:
https://brainly.com/question/21511618
#SPJ9
In the figure below, m2=56° and mZXWY=153º,
Find m Z1.
Answer: 97°
Step-by-step explanation:
∠XWY = 153°
∠2 = 56°
∠1 = ?
Solution:∠XWY-∠2=∠1
153°-56°=?
? = 97°
One x-intercept for a parabola is at the point (-4,0) use the factor method to find the other x-intercept for the parabola defined by this equation y=X^2-2x+8
According to the statement if One x-intercept for a parabola is at the point (-4,0) of the equation the other x-intercept for the parabola is (2, 0).
What is parabola?A parabola is an U-shaped mirror-symmetrical planar curve. It matches a variety of seemingly dissimilar mathematical formulations, all of which identify the same curves. A point and a line are two ways to describe a parabola.
What is the significance of the term "parabola"?Apollonius, who discovered numerous features of conic sections, is credited with the name "parabola." It signifies "application," referring to the "application of regions" notion, which, as Apollonius demonstrated, has a connection with this curve. Pappus is responsible for the focus-directrix attribute of the parabola as well as other conic sections.
According to the given statement:given equation: y=X² -2x+8
on solving the equation:
y==X² -2x+8
X² + 4x -2x -8
x(x - 4) -2(x - 4)
-1(x-2)(x+4)
According to the statement if One x-intercept for a parabola is at the point (-4,0) of the equation the other x-intercept for the parabola is (2, 0).
To know more about parabola visit:
https://brainly.com/question/4074088
#SPJ9
Please help it’s urgent . Grade 11 homework
Answer:
(l) y=2x-2
(ll) y=4x+1
(lll) y=5x+13
(lV) y=-3x-6
(V) y=-5x-17
(Vl) y=(2/3)x-3
pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally. the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream. what kind of variable is the company studying?
The pharmaceutical company uses the quantitative variable to conducts an experiment.
Variables:
A variable is a characteristic of an object. Their values may occur more than once for a set of data. We consider just two main types of variables in this course.
Quantitative Variables - Variables whose values result from counting or measuring something.
Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting.
Given,
A pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally.
And the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream.
Here we need to find the kind of variable is the company studying.
Here the company uses the Qualitative Variable because here they measure the effects of the medicine not the measurement.
So, the experiment uses the Qualitative Variable.
To know more about Variable here.
https://brainly.com/question/15078630
#SPJ4
A bug crawls up a pole 2in. in 2min., then slips down 1in. in 1min,, then crawls up 2in. in 2min., and so on. At this rate, how long will it take the bug to reach the height of 10in.
Answer: It would take the bug 26min to clime the pole
Step-by-step explanation: For me I drew a pole and labeled it like a number line.
1. use or make a number line and plot 0-10 on it.
2. jump 2 points from 0 on the number line
3. Jump backwards once to make the equation accurate
4. plot the times it takes along the way to find the answer until you get to 10
I hope
An object is traveling at a steady speed of 9 4/5 mi/h. How long will it take the object to travel 2 1/5 mi? First round to the nearest integer to find the estimated answer. Then find the exact answer.
It will take the object 1/5 hour to travel 2 1/5 mi
How long will it take the object to travel 2 1/5 mi?The given parameters are
Speed = 9 4/5 mi/h
Distance = 2 1/5 mi
The time is calculated as
Time = Distance/Speed
So, we have
Time = (2 1/5)/(9 4/5)
Approximate the factors
Time = (2)/(10)
Evaluate
Time = 1/5
Hence, it will take the object 1/5 hour to travel 2 1/5 mi
Read more about speed at:
https://brainly.com/question/14335655
#SPJ1
Use the diagram to answer the following questions.
1.Name 3 collinear points.
2. Name 3 non-collinear points.
3. Name 3 coplanar points.
4. Name 3 non-coplanar points.
Identify each as an expression, equation, or inequality
Answer:
Equations
expression
inequality
equation
expression
equation
Step-by-step explanation:
An expression does not have an equal sign.
An equation does have an equal sign
Inequality has a > or< symbols
help me 40points i got assignment duee
Answer:
1) 4
2) 16
Step-by-step explanation:
Pleaseee help! I WILL MARK BRAINLIEST.
The approximate weights of two animals are 4.23 x 103 lbs. and 8.7 x 103 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits. 1.29 x 104 lbs. 1.3 x 104 lbs. 5.1 x 103 lbThe approximate weights of two animals are 4.23 x 103 lbs. and 8.7 x 103 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits. 1.29 x 104 lbs. 1.3 x 104 lbs. 5.1 x 103 lbs. 12 x 103 lbs.
Answer: 1.29 x 104 lbs.
Step-by-step explanation:
4.23 x 103 lbs. and 8.7 x 103 lbs.
4.23 x 103 + 8.7 x 103 =
4.23 x 10^3 + 8.7 x 10^3 =
(4.23+8.7) x 10^3 =
(4.23+8.70) x 10^3 =
(12.93) x 10^3 =
1.293 x 10 x 10^3 =
1.293 x 10^1 x 10^3 =
1.293 x 10^(1+3) =
1.293 x 10^4 =
1.293 x 10^4 = 1.29 x 104 lbs.
The total weights of the two animals in scientific notation is
13.32 x 10² lbs
What is scientific notation ?
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
According to the given question,
First animal weight 4.23 x 103 lbs
Second animal weigh 8.7 x 103 lbs
adding both the animal weights
= 4.23 x 103 + 8.7 x 103
= (4.23 + 8.7 ) x 103
= 12.93 x 103
= 1331.79 lbs
converting into scientific notation
= 13.3179 x 10² lbs (rounding off)
≈ 13.32 x 10² lbs
Read more about scientific notation at:
https://brainly.com/question/18073768
#SPJ2