Answer:
10.
Step-by-step explanation:
1) formula of the required slope is:
[tex]slpoe=\frac{y_2-y_1}{x_2-x_1};[/tex]
2) according to the formula above:
[tex]slope=\frac{2+8}{5-4}=10.[/tex]
P.S. x₁=2; x₂=-8; y₁=5; y₂=4.
4x + 8 = 10 ^ 1 the solution to the equation is x
Answer:
x=1/2
Step-by-step explanation:
Hope this helps
Sorry if I'm wrong
Points J and K lie in plane
How many lines can be drawn through points J and K?
0
1
2
3
(B) 1 line can be drawn through points J and K.
What are lines?Line, the fundamental element of Euclidean geometry. A line, according to Euclid, is an interval between two points that can be extended in either direction indefinitely. Such an extension in both directions is now considered a line, whereas Euclid's original definition is considered a line segment.So,
It is clear from the image that there is a plane H on which two pints J and K are located.According to one of Euclid's axioms, "Through any given two points X and Y, only one and only one line can be drawn."As a result, according to Euclid's geometry, only one line can be drawn through the given points J and K in plane H.Therefore, (B) 1 line can be drawn through points J and K.
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The correct question is given below;
Points J and K lie in a plane. How many lines can be drawn through points J and K?
a. 0
b. 1
c. 2
d. 3
HELPP ME PLS
Three drivers competed in the same fifteen drag races. The mean and standard deviation for the race times of each of the driv
Driver A had a mean race time of 3.81 seconds and a standard deviation of 0.21 seconds.
Driver B had a mean race time of 4.03 seconds and a standard deviation of 0.12 seconds.
Driver C had a mean race time of 3.95 seconds and a standard deviation of 0.09 seconds.
Which driver do you predict will win the next drag race?
The driver that is predict to win the next drag race will be A. Driver A had a mean race time of 3.81 seconds and a standard deviation of 0.21 seconds.
What is standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation implies that the values are dispersed over a wider range, a low standard deviation shows that the values tend to be close to the mean of the collection.
Given that we are aware that standard deviations indicate variability in a data collection, the variability is greater the higher the standard deviations.
In this case, A has the higher standard deviation. Therefore, the driver that is predict to win the next drag race will be Driver A had a mean race time of 3.81 seconds and a standard deviation of 0.21 seconds.
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Adam invests 16,000 in an investment certificate (GIC) that pays 3 percent, compounded annually.
How much interest will he have earned after two years?
$867.40
$960.00
$974.40
$1,031.40
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}[/tex]
[tex]A=16000\left(1+\frac{0.03}{1}\right)^{1\cdot 2} \implies A = 16974.4~\hfill \underset{earned~interest}{\stackrel{16974.4~~ - ~~16000}{ 974.40}}[/tex]
4. Edwin, his brother, and his dad decide to have a 1 week reading competition.
Edwin reads ten times more pages that week than his little brother, but ten times
less than his father. If Edwin read 50 pages, how many total pages did he, his
brother, and his father read combined?
The total pages read by Edwin's little brother is 5 and his father is 55 pages in reading competition.
What is defined as the ten times the number?When a number is multiplied by ten times its value, the final result is obtained by multiplying the number by ten and adding the result calculated to the original number.Example: 5 is the number.
If the number 5 is multiplied by ten, the process looks like this.
5 × 10 = 50
50 + 5 = 55
55 as a final result
For, the given question,
Edwin read 50 pages in a week in reading competition.
Edwin reads 10 times more than his brother.
Thus, if the pages read by his little brother is x.
Then,
10 x = 50
x = 5
Thus, pages read by his little brother is 5 pages.
Now, the pages read Edwin is 10 times more than his father.
his father = 50 + 5 = 55
Thus, the pages read by his father is 55 pages.
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What is the algebraic expression for
the following word phrase?
three-fourths of a number
Answer:
[tex] \frac{3}{4} x[/tex]
what could be the volume of a rectangle box? A. 24 square meters. B 24 meters C. 24 cubic meters. D.24 grams C.24 centimeters
Answer: C
Step-by-step explanation:
The interest rate on your credit card is 5% and the credit card company has notified you that your rate
will go up by 19 percentage points. What will your new interest rate be
Don't forget to include a percent sign, %, in your answer.
Your new interest rate is
What is the difference between Congruent and Non-Congruent?
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FIND THE 100TH LINE SEGMENT
CUBE #1 HAS 4 LINES
CUBE #2 HAS 12
CUBE #3 HAS 24
WHATS THE 100TH LINE SEGMENT USING NTH TERM.
PICTURE BELOW!
Answer:
20,200
Step-by-step explanation:
Let the number of lines in each cube be a term in the sequence:
4, 12, 24, 40, ...
Work out the differences between the terms until the differences are the same:
[tex]4 \underset{+8}{\longrightarrow} 12 \underset{+12}{\longrightarrow} 24 \underset{+16}{\longrightarrow} 40[/tex]
[tex]8 \underset{+4}{\longrightarrow} 12 \underset{+4}{\longrightarrow} 16[/tex]
As the second differences are the same, the sequence is quadratic and will contain an n² term. The coefficient of n² is always half of the second difference. Therefore, the coefficient of n² is 2.
To work out the nth term of the sequence, write out the numbers in the sequence 2n² and compare this sequence with the given sequence.
[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5}2n^2 & 2 & 8 & 18 & 32\\\cline{1-5}\sf operation & +2&+4&+6&+8 \\\cline{1-5}\sf sequence & 4 & 12 & 24 & 40\\\cline{1-5}\end{array}[/tex]
From inspection of the table, we can see that the "operation" is to add 2n to 2n².
Therefore, the nth term is:
[tex]a_n=2n^2+2n[/tex]
To find the number of lines in the 100th cube, substitute n = 100 into the equation for the nth term:
[tex]\begin{aligned}n=100 \implies a_{100} & = 2(100)^2+2(100)\\& = 2(10000)+200)\\& = 20000+200\\& = 20200\end{aligned}[/tex]
Therefore, the 100th cube has 20,200 lines.
165см.+567см.-203см.
Answer:
529 cm
Step-by-step explanation:
Given problem is,
→ 165cm + 567cm - 203cm
Let's solve the problem,
→ (165 + 567) - 203
→ 732 - 203
→ 529 cm
Hence, solution is 529 cm.
Explanation/Answer:
Use long addition and long subtraction to solve
→ [tex]165 + 567\\5 + 7 = [1]2\\6 + 6 = 1+2 = 3\\1 + 5 = 6 + 1 = 7\\700 + 30 + 2 = \bold{732}[/tex]
→ [tex]732 - 203\\3 - 12 = 9(Because~of~borrowing)\\2 - 0 = 2(Borrowed~1~for~3-2)\\7 - 2 = 5\\500 + 20 + 9 = \bold{529}[/tex]
Thus,
your answer is 529 cm.
4. A sporting goods store ordered new bikes and scooters. For every 3 bikes ordered, 4 scooters were ordered. However, bikes were way more popular than scooters, so the store changed its next order. The new ratio of the number of bikes ordered to the number of scooters ordered was 5:2. If the same amount of sporting equipment was ordered in both orders and 64 scooters were ordered originally, how many bikes were ordered as part of the new order?
Answer: Bikes were ordered as part of new order order is = 80 bikes
scooters were ordered as part of new order order is = 32 scooters.
Step-by-step explanation:
Given data,
A sporting goods store ordered new bikes and scooters.
For every 3 bikes ordered, 4 scooters were ordered.
Then, The ratio of the bike and scooter is equal to = 3:4
where,
bike ratio is 3
scooter ratio is 4
Then 48 bikes
original order = 64 scooter
= 64/4
= 16 scooters
However, bike is more popular than scooter.
So,
they changed it into new ratio = 5:2
where,
5 is equals to bikes ratio
and 2 is equal to scooter ratio.
Then,
5(original order) = 5(16)
= 80 bikes
2(original order) = 2(16)
= 32 scooters.
Therefore,
bikes were ordered as part of new order order is = 80 bikes
scooters were ordered as part of new order order is = 32 scooters.
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For each value of x, determine whether it is a solution to 15< x.
Based on the information provided, we have the following:
15 < 10; No, it is not a solution.15 < 16; Yes, it is not a solution.15 < 13; No, it is not a solution.15 < 20; Yes, it is not a solution.What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Next, we would determine whether or not the given values of variable x are solutions to the given inequality by evaluating as follows:
When x = 10, we have:
15 < 10; No, it is not a solution.
When x = 16, we have:
15 < 16; Yes, it is not a solution.
When x = 13, we have:
15 < 13; No, it is not a solution.
When x = 20, we have:
15 < 20; Yes, it is not a solution.
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Complete Question:
For each value of x, determine whether it is a solution to 15 < x.
Is it a solution?
10: yes or no
16: yes or no
13: yes or no
20: yes or no
she sold 12 cupcakes for 42 dollars what is the constant of proportionality
The table of values shows the output values of three different equations for the same input values, x.
Drag the correct expression to each row to complete each equation.
An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign. The relations are: x+3, 3x², 3ˣ
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign.
Finding the relations:
Relationship 1:
The y-values have a common difference of 1, so the relationship is linear with as slope of 1. The only matching choice is (x+3), which matches the values of y1.
Relationship 2:
The y-values have differences that increase with a common difference. They are (3-0) = 3, (12-3) = 9, (27-12) = 15, (48 -27) = 21. The second differences are (9-3) = 6, (15-9) = 6, and so on with all second differences being 6. This tells you that a second-degree polynomial can model this sequence. The only matching choice is 3x² which matches the values of y².
Relationship 3:
The y-values have increasing differences that also have increasing differences. The values have a common ratio of 3, indicating an exponential function will model this sequence. The only matching choice is (3ˣ), which matches the values of y³.
Therefore the relations are: x+3, 3x² and 3ˣ
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Answer: Hope you guys can see it
Step-by-step explanation:
Area de una pared 42 ²/3 yardas cuadradas Angela usa 1 galon y 1/3 de pintura. i Cuál es la tasa de cobertura de Angela en yardas cuadradas por galón y 1/3 de pintura?
Responder:
Parte A: 32 yardas cuadradas por galón
Parte B: 13 pies cuadrados por galón de diferencia
Explicación paso a paso:
Parte A:
Para saber cuántas yardas cuadradas cubre cada galón, tienes que dividir 42 2/3 entre 1 1/3, lo que equivale a 32. Eso significa que cada galón de pintura cubre 32 yardas cuadradas.
Parte B:
Primero, tienes que convertir cuánto cubrió Ángela en yardas cuadradas a pies cuadrados. Como una yarda cuadrada equivale a 9 pies cuadrados, tenemos que multiplicar 32 por 9, lo que equivale a 288. Para encontrar la diferencia, debes restar 288 - 275, lo que equivale a 13.
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Rewrite the slope intercept equation into point slope form
Y=-1/3x+9
The point slope form of the given slope intercept form is:
y ₋ 9 = ₋1/3 (x ₋ 0)
Given, we have the slope intercept form as :
y = ₋1/3x ₊ 9
To convert the given form into point slope form we first need to determine the slope and the point.
A straight line is represented as a point on the line and its slope in point slope form. That means using the point slope form, one may find the equation of a line passing through the points (x ₁, y ₁) and having a slope of "m".
from the given equation y = ₋1/3x ₊ 9
the above equation is in the form of: y = mx ₊ b
slope (m) = ₋1/3
y intercept (b) = 9
x intercept = 0
Therefore, the points are: (0,9) = (x₁ , y₁)
hence the point slope form is:
y - y₁ = m(x ₋ x₁)
y ₋ 9 = -1/3(x ₋ 0)
hence we get the required point slope form.
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What is the direction and strength of the association between the variables?
weak negative
weak positive
strong positive
strong negative
The required solution from the graph that variable X and Y have a strong negative association.
What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related. Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.
Given:
The given graph attached below .The graph is between variable x and variable y.
According to given question we have
The graph slopes downwards as variable X increases, hence we have a negative relationship between X and Y.
The graph shows strong negative because we see a correlation of downwards sloping.
The trend produced by the graph is straight forward with points close to one another, hence forming a well - defined pattern. These depicts a Strong association between the variable.
Therefore, the required solution from the graph that variable X and Y have a strong negative association.
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Cm^2-g/cm^4
Does cm become cm^2. How to I subtract it?
Answer:
[tex]\frac{cm^{6} - g}{cm^{4} }[/tex]
Step-by-step explanation:
Write 1/cm^2 - g/cm^4 to visualize it better, then distribute using the fraction rule ([tex]\:a-\frac{b}{c}=\frac{ac-b}{c}[/tex]): [tex]\frac{cm^2cm^4-g}{cm^4}[/tex]
Combine like terms to get: [tex]\frac{cm^6-g}{cm^4}[/tex]
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the swimming pool. The result are Time, / (min) 0-10 11-20 21-30 31-40 Number of people 6 8 4 2 20 16.9
a Use the mid-interval values to calculate an estimate for the mean time spent in the pool.
What is the modal class?
The modal class of the given frequency distribution table is found as: 0-10.
The mean found for the frequencies of swimming pool is 36.5.
What is defined as the frequency distribution table?A frequency distribution table is a graph that summarizes all data into two columns: variables/categories and frequency. It consists of either two or three columns. Depending on the size of the data set, the first column will typically list all of the outcomes as particular values or as class intervals.The given grouped class interval is-
Time(min): 0-10 11-20 21-30 31-40
Number of people: 68 42 20 16
Modal class: The modal class is indeed the class interval within such a set of data that has the greatest number of data points, also known as the highest frequency.
Thus, from the given frequencies, the maximum frequency that is 68 occurred for the class of 0-10.
Thus, the modal class is: 0 - 10.
For the calculation of mean;
mean = sum of all frequencies/number of frequencies
mean = (68 + 42 + 20 + 16)4
mean = 146/4
mean = 36.5
Therefore, the mean of the frequency for the swimming pool is 36.5.
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Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for each minute of calling time. In June she used 320 minutes and the cost was $143.00. In July she used 710 minutes and the cost was $279.50.
The cost function expressed as the number of times spent calling is cost function = c(x) = 31 + 0.35x
How to solve for the cost functionThe cost function that can be written as per the number of units that she used is given as
c(x) = a + bx
x = 320
a + 320b = 143
When x = 710
we would have
a + 710b = 279
subtract the equations
710 b - 320 b = 279 - 143
390b = 136
b = 136/390
= 0.35
Put the value of b in equation 1
a + 320 x 0.35 = 143
a + 112 = 143
a = 31
cost function =
c(x) = 31 + 0.35x
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complete questionA) Express the monthly cost C as a function of a, the number of minutes of calling time she used.
Eula needs to buy binders that cost $4 each and notebooks that cost $2 each. She has $20. The graph of the inequality 4x + 2y ≤ 20, which represents the situation, is shown. What is the greatest number of binders Eula can buy? What is the greatest number of notebooks Eula can buy? If Eula buys 7 notebooks, what is the greatest number of binders she can buy?
The required answers are,
The greatest number of binders Eula can buy is 5.
The greatest number of notebooks Eula can buy is 10.
If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now the given inequality is,
4x + 2y ≤ 20
here x is the number of binders and y is number of notebooks.
Cost of 1 binder = $4
Cost of 1 notebook = $2
Now for maximum number of binders put y = 0 in the given inequality we get,
4x + 2*0 ≤ 20
Solving we get,
4x ≤ 20
Dividing both the side by 4 we get,
x ≤ 5
Thus, Eula is permitted to acquire 5 binders in the absence of notebook purchases.
Now for maximum number of notebooks,
Putting x = 0 in the given inequality we get,
4*0 + 2y ≤ 20
Solving we get,
2y ≤ 20
Dividing both the side by 2 we get,
y ≤ 10
Thus, Eula is permitted to purchase 10 notebooks if no binders are purchased.
Now if Eula buys 7 notebooks, putting y = 7 in the given inequality we get,
4x + 2*7 ≤ 20
Solving we get,
4x + 14 ≤ 20
Subtracting both the side by 14 we get,
4x ≤ 6
Dividing both the side by 4 we get,
x ≤ 3/2
⇒ x ≤ 1.5 ≈ 2
Thus, If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.
Hence,If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.
Thus, the required answers are,
The greatest number of binders Eula can buy is 5.
The greatest number of notebooks Eula can buy is 10.
If 7 notebooks are ordered, one binder may also be bought, costing $2 more for Eula.
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Answer: 1) 5 2)10 3) 1
Step-by-step explanation:
on edge its correct
How do you solve absolute value inequalities on both sides
Please help ASAP
Which Venn diagram has shading that represents the given set?
[tex]S^{C}[/tex] ∩ T sets is the option C.
How to represent sets in Venn diagram?Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things.
A set is a collection of items.
S is a set and T is also a set.
[tex]S^{C}[/tex] simply means S complement.
Complement of S simply means not in S. It means everything not in S.
∩ simply means intersection
Therefore,
[tex]S^{C}[/tex] ∩ T implies not in S intersection T sets.
Hence, [tex]S^{C}[/tex] ∩ T is the option C.
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The product of 10 and a number p
Answer:
10p, assuming p is a variable
1 foot is 12 inches. 5 cm is approximately 2 inches. Work out an approximation for the number of cm in 4 feet.
4 Feet = 121.92 cm.
Step-by-step explanation:The formula is to multiply the length value by 30.48.
Feet (ft) Centimeters (cm)
1 ft 30.48 cm
2 ft 60.96 cm
3 ft 91.44 cm
4 ft 121.92 cm
on the same axes draw the graphs of y=2x and y=2xt5(tables for y=2x and y=2xt5)
The graph for y=2x and y=2x + 5 is drawn at bottom.
Why are graphs used by mathematicians?A common technique for graphically showing data linkages is the graph. While taking up less space, a graph accomplishes the goal of conveying information that are either too many or complicated to be completely stated in the text.
A graph is a diagram or graphical representation that organizes the display of facts or values. The points on a graph are typically used to depict the relationships between two or more things.
For the given question,
y = 2x
The coordinates are -
(1,2), (2,4), (3,6), (4,8)
y=2x + 5
The coordinates are -
(1,7), (2,9), (3,11), (4,13)
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The midpoint of \overline{\text{AB}} AB is M(7, 0)M(7,0). If the coordinates of AA are (8, -3)(8,−3), what are the coordinates of BB?
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{8}~,~\stackrel{y_1}{-3})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +8}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(7~~,~~0)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +8}{2}=7\implies x+8=14\implies \boxed{x=6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -3}{2}=0\implies y-3=0\implies \boxed{y=3}[/tex]
1 Find all possible square roots (1 point)
√400=
20 or -20
15 or -18
16 or -16
14 or -14
Answer:
20 or - 20 is the answer
Step-by-step explanation:
20×20 = 400
or
-20 × -20 = 400
PLEASE HELP BEEN STUCK ON THIS FORVER! AND ITS DUE SOON! WILL GET 100 POINTS FOR HELPING CORRECTLY!
FIND THE 100TH LINE SEGMENT
CUBE #1 HAS 4 LINES
CUBE #2 HAS 12
CUBE #3 HAS 24
WHATS THE 100TH LINE SEGMENT USING NTH TERM.
PICTURE BELOW!
Answer:
a 48 x 48 unit cube
Step-by-step explanation:
a 1x 1 has 4-line segments
a 2 x 2 has 6-line segments
a 3 x 3 has 8-line segments
we see a pattern here
3 * 2 + 2= 8
2 * 2+ 2+= 6
1 * 2 + 2= 4
so 48 * 2 + 2= 100