Answer:
a. x = 7; b. 75
Step-by-step explanation:
Equilateral means all sides equal the same measurement
4x - 3 = 2x + 11
4x - 2x = 11 + 3
2x = 14
x = 7
Plug in x = 7 to any equation
4(7) - 3
28 - 3
25
Perimeter means add up all 3 sides
25 + 25 + 25
75
What kind of angle is
∠mah?
What is the value of x?
What is the measure of
∠mat ?
What is the measure of
∠tah ?
So according to the given figure ∠mah is right angle(90°), The value of x is 17, ∠mat is 38° and ∠tah is equal to 52°.
What is the source of this answer and define a graph?(A) ∠mah is right angle(90°) [GIVEN IN THE FIGURE]
(B) (2x+4)+(3x+1) = 90
5x+5 = 90
x= 17
(C) 2x+4 = 2×17 + 4 = 38°
(D) 3X + 1 = 3 × 17 + 1 = 52°
A graph is a visual representation or diagram that displays facts or values in an organised manner in mathematics. The points on a graph are typically used to depict the relationships between two or more things.
A graph in discrete mathematics is made up of vertices, which are groups of points, and edges, which are the connections between those vertices. There are numerous different types of graphs besides linked and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs.
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1-8.Examine the tile pattern below. 1-8 HW eTool (CPM). Homework HelpFigureFigure 1Figure 3a. On your paper, sketch Figures 4 and 5.b. How does the pattern grow? Explain how you know.c. How many tiles will there be in Figure 0 (the figure before Figure 1)? Explain how you know.*Insert a picture of your work here
a. we can see that it increases by 1 on each side, therefore figure 4 would be 5 horizontal squares and 5 vertical squares and figure 5 would be 6 horizontal squares and 6 vertical squares.
b. The pattern increases 1 horizontal square and one vertical square, which means that in total it grows 2 squares.
c. Figure 0 would be a single square since in figure 1 there are 3 squares, so if we follow the pattern, there will be only one square
On a piece of paper, graph y<-3/4x+2. Then determine which answer choice
matches the graph you drew.
The graph of the linear inequality is given by the image presented at the end of the answer.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The function for this problem is given as follows:
y = -3x/4 + 2.
Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.
The inequality is given as follows:
y < -3x/4 + 2.
Meaning that points below the dashed line are the solution to the inequality.
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find the value of each power 2 to the 6th power
Answer:
64
Step-by-step explanation:
how long did it take a biker to travel 20 miles at 12mph
Time = Distance / speed
Time = 20 miles / 12mph
Time = 1 and 2/3 hours ( 1 hour and 40 minutes)
3. Use inverse operations to solve the equation. (1 point)
15 = -1
6
Answer:
Addition and subtraction are inverse operations, as are multiplication and division. To solve an equation means to isolate the unknown, x, on the left of the = sign.
MPModel with Mathematics There are 8 seahorses and 8 fish in the water. How many seahorses and fish are there in all?
Answer:
they are 8 seahorse.becauce even seahorse are fish
I need help with this!
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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243, 81, 27, 9, 3, 1
Which of the following is the next term in the geometric sequence show above?
A. \\\ -3
B. \\\\ -1
C. \ -1/3
D. \\\\\\\ 0
E. \\\\\\ 1/3
Answer:
E. 1/3
Step-by-step explanation:
In this sequence, the numbers are descending and are 1/3 of the previous number.
243 / 3 = 81
81 / 3 = 27
9 / 3 = 3
3 / 3 = 1
1 / 3 = 1 / 3 (the next term)
i need help asap, please give the correct answer
Answer:
w = 6
Step-by-step explanation:
Midsegment theorem states that "a segment connecting midpoints of the two sides of a triangle is parallel and half in measure of the third side."
By this theorem,
ST = 2(PR)
w + 6 = 2w
(w + 6) - w = 2w - w
w = 6
Evaluate. (jk - 1 ) + j when j = - 4 and k = 5
Answer:
Step-by-step explanation:
(-4*5 - 1) + (-4)
(-20 - 1) - 4
-21 - 4
-25
A motorist travels 228 kilometers in 6 hours. At that rate, how long will it take him to travel and additional 247 kilometers?
Answer:
The motorist's rate is:
rate = distance / time
where distance is measured in kilometers and time is measured in hours.
We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:
rate = distance / time = 228 km / 6 hours = 38 km/hour
To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:
time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours
Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.
Roland has built a circuit, and is using a device called an
ammeter to measure how quickly electrical current is flowing
through the circuit. He calculates that the current should be
0.180 amps, but he measures the current as 0.173 amps. What
is Roland's percent error?
Roland's percent error is approximately 3.889%.
This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.
The positive sign indicates that Roland's measured value is slightly lower than the actual value.
To calculate Roland's percent error, we can use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100
Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:
Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100
Simplifying the expression within the absolute value:
Percent Error = (|-0.007| / 0.180) \(\times\) 100
Since the absolute value of -0.007 is 0.007, we have:
Percent Error = (0.007 / 0.180) \(\times\) 100
Calculating the division:
Percent Error = 0.03889 \(\times\) 100
Percent Error = 3.889%.
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Write an equation for the proportional relationship shown in the table
Answer:
y =74x
Step-by-step explanation:
A proportional relationship is represented by y = kx where x is the independent variable, or input, k is the constant of proportionality, and y is the dependent variable or output.
What do we do to the values in the row for x to get the values in the row of y?
It helps to have x = 1 in this table.
74 = (k)(1)
74 = k
the scatter plot shows the total number of rebounds caught and the total number of points scored for the five starting players of the cleveland cavaliers and of the golden state warriors in game 7 of the 2016 nba finals.
The cleveland cavaliers and of the golden state warriors in game 7 of the 2016 nba finals the player are 8.
A scatter plot is a hard and fast of factors plotted on a horizontal and vertical axes. Scatter plots are essential in facts due to the fact they could display the quantity of correlation, if any, among the values of determined portions or phenomena (referred to as variables).
Scatter plots are used to plan facts factors on a horizontal and a vertical axis withinside the strive to expose how a great deal one variable is laid low with another. Each row withinside the facts desk is represented through a marker whose role relies upon on its values withinside the columns set at the X and Y axes.
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Deymarius drank 2/3 of a quart of water. Wesley drank 1/6 of a quart of water. how many quarts of water did they drink all together?
Answer:
5/6 quarts of water
Step-by-step explanation:
2/3 same as 4/6. 4/6 + 1/6 = 5/6
A rectangle is 1/2 feet long and 3/4 feet wide.
What is the area of the rectangle?
Enter your answer as a fraction in simplest form
Answer: 3/8
Step-by-step explanation: All you do is 1/2 times 3/4. Numerator times numerator. The Denominator times denominator.
Numerators first- 1x3Denominators second 2x45c + 4p = 18.402c + 4p = 11.20
To solve the system of linear equations you can use the reduction or elimination method, like this
\(\begin{gathered} \mleft\{\begin{aligned}5c+4p=18.40\text{ }\rightarrow\text{ multiply this equation by -1 to convert 4p to }-4p \\ 2c+4p=11.20\text{ }\end{aligned}\mright? \\ \end{gathered}\)So,
\(\mleft\{\begin{aligned}-5c-4p=-18.40 \\ 2c+4p=11.20\end{aligned}\mright.\)Now you can sum both equations and then you have
\(\begin{gathered} -3c+0p=-7.2 \\ -3c=-7.2 \\ \text{Divide both sides of the equation by -3} \\ \frac{-3c}{-3}=\frac{-7.2}{-3} \\ c=2.4 \end{gathered}\)Now you can plug the value of c into any of the initial equations to get the value of p, for example in the second equation
\(\begin{gathered} 2c+4p=11.20 \\ 2(2.4)+4p=11.2 \\ 4.8+4p=11.2 \\ \text{substract 4.8 from both sides of the equation} \\ 4.8+4p-4.8=11.2-4.8 \\ 4p=6.4 \\ \text{divide both sides of equation by 4} \\ \frac{4p}{4}=\frac{6.4}{4} \\ p=1.6 \end{gathered}\)Therefore, the solution of this system of equations is
\(\mleft\{\begin{aligned}c=2.4 \\ p=1.6\end{aligned}\mright.\)Exercice 1
Soit f(x)=−x³ +3x²+9x+6une fonction définie et dérivable sur [-10:10].
Déterminer f'(x) en détaillant vos calculs ?
you. aren't.
alone..........
In •A find CE if BA=7.35.
The value of CE is 14.7 units.
What if the diameter of a circle?The diameter of a given circle is a straight line which passes through the center of the circle and divides it into two equal semi-circles.
So that in the given circle with center A, we have;
CE = BD (diameter of a given circle)
BA = EA = CA = DA (radius of a given circle)
CE is the diameter of the circle, and BA is the radius, so that;
CE = 2*BA
= 2*7.35
= 14.7
CE = 14.7
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PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
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two integers, a and b, have different signs. the absolute value of inter a is divisible by the absolute value of integer b. Find two integers that fit this description. Then decide if the product of the integers is greater than or less than the quotient of the integers.
Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.
How to find two integers that fit the description?
We have two numbers a and b with different sign.
Let's say that a is negative and b positive.
We know that the absolute value of a is divisible by the absolute value of b.
|a|/|b|
Then we have that |a| ≥ |b|
An example of two numbers that meet these conditions are:
a = -10
b = 2
Where:
|-10|/|2| = 10/2 = 5
Now, the product between the integers will give a large negative number, in this case:
-10*2 = 20
and the quotient will give a smaller, in absolute value, negative number:
-10/2 = -5
Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).
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Draw the image when ABCD is translated along 1-4, 6).
Answer:
(9,4)
Step-by-step explanation:
your welome
Three Numbers are in the ratio of 2:3:7. What is the largest number if the sum is 288
Answer:
2x + 3x + 7x = 288
12x = 288
x = 24
The largest number is therefore 7 * 24 = 168
Step-by-step explanation:
Find the slope of the line passing through the points (5,6) and (5,-4).
Answer:
subtract -4-6/5-5
Step-by-step explanation:
Answer is no solution
What is the slope of the line shown below?
10
(5, 11)
O A.
ON
5
B. 5
(-5, -1)
10
15
C. -5
D.
0107
Answer:
Step-by-step explanation:
6/5 ima tell u that
Your town has a park at points (-9,-9), (-3,-9) and (-6,-5). What is the area of the park?
The area of the park is 12 square units.
To find the area of the park, we can use the Shoelace Formula (also known as Gauss's area formula). This formula allows us to calculate the area of any polygon given the coordinates of its vertices.
The Shoelace Formula states that if we have the coordinates of the vertices of a polygon in counterclockwise order (x₁, y₁), (x₂, y₂), ..., (xn, yn), then the area (A) of the polygon is given by:
A = 1/2 × |(x₁y₂ + x₂y₃ + ... + xn-1yn + xny₁) - (y₁x₂ + y₂x₃ + ... + yn-1xn + ynx₁)|
In our case, the coordinates of the park's vertices are (-9, -9), (-3, -9), and (-6, -5). Let's calculate the area using the Shoelace Formula:
A = 1/2 × |(-9 × -9 + -3 × -5 + -6 * -9) - (-9 × -3 + -9 × -6 + -5 × -9)|
Simplifying further:
A = 1/2 × |(81 + 15 + 54) - (27 + 54 + 45)|
A = 1/2 × |150 - 126|
A = 1/2 × |24|
A = 12
Therefore, the area of the park is 12 square units.
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Answer:
12 square units---------------------
Plot the given vertices and connect.
See attached.
Then add the height CD.
The base is AB, with the length:
AB = - 3 - (- 9) = -3 + 9 = 6The height is CD, with length:
CD = -5 - (- 9) = - 5 + 9 = 4Find the area using equation:
A = bh/2A = 6*4/2A = 1212
A culture of bacteria triples every hour. If there are 5 bacteria after the first hour,
how many bacteria will there be after one day?(One day= 24 hours)
5 x 3²⁴ bacteria will there be after one day.
What is exponents?
Exponentiation could be a calculation, written as bⁿ, involving 2 numbers, the bottom b and also the exponent or power n, and pronounced as "b to the n".
Consider what is actually happening in the question.
You begin with 5 bacteria, and after 1 hour it has tripled so you now have
5x 3=15.
Next hour, it triples again so you now have 5 x 3 x 3=45
You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 3⁴ means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).
Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:
n x 324 where n is the number of bacteria you begin with.
Since you begin with 1 bacteria, the solution is 5 x 3²⁴.
Hence 5 x 3²⁴ bacteria will there be after one day.
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{ (-2, 4), (0, 2), (-1, 3), (4, -2)}
The set of ordered pairs above:
DONE
Domain
-3
4
-1
5
Range
3
7
-2
The mapping diagram above:
DONE
y=x²
DONE
x
-3
-1
y
5
2
-1
The table above:
DONE ✔
The set of ordered pairs above: is a function.
The mapping diagram above: is a function.
y = x²: is a function.
The table above: is not a function.
What is a function?In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).
In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).
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Dorothy Kaatz, a computer programmer, earns a regular hourly rate of
$15.25 and earns double that when she works overtime. Kaatz usually works
40 regular hours and 12 hours overtime while she's trying to update the
company's systems before the month's end. What is her straight-time pay?
What is her overtime pay? What is her total pay?
Answer:
$976
Step-by-step explanation:
Straight time pay= $15.25(hourly rate) × 40(hours worked)= $610
Overtime Rate = 15.25×2= $30.50
Overtime Pay= $30.5 × 12 (Hours worked overtime)= $366
Total Pay= Basic wage + Overtime Wage = $976