Answer:
(-1,0), (0,3) and (2,2.25)
Step-by-step explanation:
The qualitative graph is as follows:
A(-1,0) ------> B(0,3) ------> C(2,2.25)
Hence, slope = (2.25 - 0)/(2 - (-1)) = 2.25/3
∴ slope = 0.75
Except for the option graph on a coordinate plane, a line with a positive slope goes through points (negative 1, 0) and (0, 3), all the graph is qualitative. Options B, C, and D are correct.
What is a qualitative graph?The kind of graph that shows the quality curve such as decreasing and increasing events, is called a qualitative graph or curve.
Here,
1. On a coordinate plane, a line with a positive slope goes through points (negative 1, 0) and (0, 3), since this graph does not represent any data as well as also constantly increasing between two points so it is not a qualitative graph.
Similarly,
Graphs B, C, and D have an increasing and decreasing order, so all are qualitative graphs.
Thus, except for graph A all the graphs are qualitative graphs.
Learn more about qualitative graphs here:
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Please help me with this question!!! I am struggling...
Answer:
It decreases from 45° to 40°
Step-by-step explanation:
The secant angle GBJ is half the difference of the measure of its intercepted arcs, that is
∠ B = [tex]\frac{1}{2}[/tex] (CDF - GHJ) = [tex]\frac{1}{2}[/tex](130 - 40)° = [tex]\frac{1}{2}[/tex] × 90° = 45°
If arc GHJ is now 50°, then
∠ B = [tex]\frac{1}{2}[/tex](130 - 50)° = [tex]\frac{1}{2}[/tex] × 80° = 40°
That is ∠ B decreases from 45° to 40°
If b = 1/2x −1/y, then what is an expression for 2/b in terms of x and y?
Answer:
2/xy
Step-by-step explanation:
you have to do the math but im not very sure on this
Convert 50 degrees into radians (NEED ASAP)
Answer:
0.872665
Step-by-step explanation:
Verify that -8+ (-11)/(-12) = (-11)/(-12)+ (-8)
The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is –3. Which equations represent this situation? y = 2 x minus 3 and y = negative 2 x minus 3 y = 2 x minus 3 and y = negative one-half x minus three-halves y = 2 x + 3 and y = negative 2 x minus 3 y = 2 x + 3 and y = negative one-half x minus three-halves
Answer:
The answer is
y = 2x -3 and
y = -2x - 3
its y = 2x -3
y = -2x - 3
Simplify the expression: 4(n-5)
Answer: 4n - 20
Step-by-step explanation: We can use the distributive property.
The distributive property tells us that if were given an expression
such as 4(n - 5), we can multiply the 4 by both the n and the -5.
So our answer is just 4n - 20.
A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either $6,000 or $12,000. If the partnership raised $486,000, then how many investors contributed $6,000 and how many contributed $12,000?
Answer:
39 investors contributed $6,000, and 21 investors contributed $12,000.
Step-by-step explanation:
Let's say that x investors contributed $6,000, and y investors contributed $12,000.
x + y = 60
6,000x + 12,000y = 486,000
x + 2y = 81
x + y = 60
y = 21
x + 21 = 60
x = 39
So, 39 investors contributed $6,000, and 21 investors contributed $12,000.
Hope this helps!
Heidi runs 1/3 of a mile in 1/4 of an hour and Louis takes 1/2 of an hour to run 23 of a mile.Who has the faster running rate?
Answer:
As both Louis and Heidi runs at the same speed, both are running at equal speed of 1.33 miles per hour.
Step-by-step explanation:
We will calculate speed of both the person in miles per hour and then compare the speeds.
Speed = distance/time
_____________________________________
For Heidi
Distance = 1/3 miles
time = 1/4 hour
speed = 1/3 ÷ 1/4 = 4/3 miles per hour = 1.33 miles per hour
_______________________________________
For Louis
Distance = 2/3 miles (here it was given 23 miles but it appears to be 2/3 of a miles )
time = 1/2 hour
speed = 2/3 ÷ 1/2 = 4/3 miles per hour = 1.33 miles per hour
______________________________________________________
As both Louis and Heidi runs at the same speed, both are running at equal speed of 1.33 miles per hour.
What are the solutions to the quadratic equation x^2 – 16 = 0?
Answer:
x=4
Step-by-step explanation:
x²-16=0
x²=0+16
x²=16
x=√16
x=4
Plot and connect the points A(-4, -1), B(6, -1), C(6, 4), D(-4, 4), and find the area of the rectangle it forms.
Answer:
50 square units
Step-by-step explanation:
When graphed you have a width of 5 and a length of 10 so multiply them together to get 50
Answer:
Step-by-step explanation:
I have this question too. I think it is 45. sorry if its incorrect
Elton is a candle maker. Each 15 \text{ cm}15 cm15, start text, space, c, m, end text long candle he makes burns evenly for 666 hours. If Elton makes a 45 \text{ cm}45 cm45, start text, space, c, m, end text long candle, how long would it burn?
Answer:
18
Step-by-step explanation:
cm 15 -> 14
hours 6 ->?
cm 15 x3->45
hours 6 x3->18
the 45 cm long candle is 3 times as long ,so it would burn for 3 times as long A 45cm long candle would burn for 18 hours
The figure above shows a right-angled triangle OAB. AOC is a minor sector enclosed in the triangle. If OA = 7 cm, AB = 6 cm, calculate the area and perimeternof the shaded region. PLEASE HELP!
Answer:
Step-by-step explanation:
Given that:
OA = 7 cm, AB = 6 cm. ∠A = 90°, OA = OC = 7 cm
Using Pythagoras theorem: OB² = OA² + AB²
OB² = 6² + 7²=85
OB = √85 = 9.22 cm
to find ∠O, we use sine rule:
[tex]\frac{AB}{sin(O)}=\frac{OB}{sin(A)}\\ \\sin(O)=\frac{AB*sin(A)}{OB}=\frac{6*sin(90)}{9.22} =0.65 \\\\O=sin^{-1}0.65=40.6^o[/tex]
AOC is a minor sector with radius 7 cm and angle 40.6
The Area of the triangle OAB = 1/2 × base × height = 1/2 × OA × AB = 1/2 × 7 × 6 = 21 cm²
Area of sector OAC = [tex]\frac{\theta}{360}*\pi r^2=\frac{40.6}{360}*\pi *7^2=17.37 \ cm^2[/tex]
Area of shaded region = The Area of the triangle OAB - Area of sector OAC = 21 - 17.37 = 3.63 cm²
Perimeter of arc AC = [tex]\frac{\theta}{360}*2\pi r=\frac{40.6}{360}*2\pi *7=4.96\ cm[/tex]
CB = OB - OC = 9.22 - 7 = 2.22
Perimeter of shaded region = AB + CB + arc AC = 6 + 2.22 + 4.96 = 13.18 cm
BRAINLIEST!! GEOMETRY THANKS!!! In rectangle shown B and F are midpoints of AC and AE , respectively. Find the ratio of the area of quadrilateral ABDF to the area of rectangle.
Answer:
1:2
Step-by-step explanation:
The area of ΔFED must be 1/4th of the entire area and so must the area of ΔBCD because B and F are the midpoints. Therefore, the area of ABDF is 1 - 1/4 - 1/4 = 1/2 of ACDE's are so the ratio is 1:2.
Bacteria in a culture increase at a rate proportional to the number of bacteria present. An initial population of 300 triples in 10 hours. If this pattern continues, find the number of bacteria present after one day.
Answer:
After 24 hours, there will be 4191 bacteria present in the culture.
Step-by-step explanation:
Initial number of bacteria = 300
amount in 10 hrs = 3 x 300 = 900
time taken = 10 hours
Bacterial growth is exponential, ans so we use the equation
N = N'[tex]e^{kt}[/tex]
where N is the final amount
N' is the initial amount
k is the growth constant
t is the time
For this first case, we have
900 = 300 x [tex]e^{k*10}[/tex]
3 = [tex]e^{10k}[/tex]
take natural log of both sides, we'll have
ln 3 = ln [tex]e^{10k}[/tex]
1.0986 = 10k
k = 1.0986/10 = 0.10986
using the growth constant above, we calculate for a day which is 24 hours
N = N'[tex]e^{kt}[/tex]
N = 300 x [tex]e^{0.10986*24}[/tex]
N = 300 x [tex]e^{2.637}[/tex]
N = 300 x 13.97
N = 4191 bacteria
please help!!! Its not a super hard question i just want to make sure im right
Answer:
D
Step-by-step explanation:
If you put the equation into a graphing calculator it will give ou a function than is a straight line that is stretched vertically by 3 units
In a survey of 2957 adults, 1455 say hey have started paying bills online in the least year construct a 99% confidence interval for the population proportion
Answer: 0.49 ± 0.0237
Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:
[tex]p_{hat}[/tex] ± z.[tex]\sqrt{\frac{p_{hat}(1-p_{hat})}{n} }[/tex]
[tex]p_{hat}[/tex] is the proportion:
[tex]p_{hat}[/tex] = [tex]\frac{1455}{2957}[/tex]
[tex]p_{hat}[/tex] = 0.49
For a 99% confidence interval, z = 2.576:
0.49 ± 2.576.[tex]\sqrt{\frac{0.49(1-0.49)}{2957} }[/tex]
0.49 ± 2.576.[tex]\sqrt{\frac{0.49*0.51}{2957} }[/tex]
0.49 ± 2.576.(0.0092)
0.49 ± 0.0237
For a 99% confidence interval, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237
1. What number comes next in this sequence?
483, 759, 264, 837,?
A) 487
B) 592
C) 375
D) 936
Answer:
C 375 this your answer
Hope it will help
Answer:
B) 592
Step-by-step explanation:
483, 759, 264, 837,?
Erase commas.
483759264837
Separate into two-digit groups:
48, 37, 59, 26, 48, 37
There is a common pattern:
48 - 11 = 37 + 22 = 59 - 33 = 26 + 22 = 48 - 11 = 37
The next term:
37 + 22 = 59 (add 22)
59 - 33 = 26 (subtract 33)
5926
solve for x ax+3x=bx+5
Answer:
x=5/a-b+3
Step-by-step explanation: Since we don't know a or b, we'll leave them as is. Shift all terms with x to the left and keep 5 on the right (ax+3x-bx)=5. x is a factor of that, so you'd change it to x(a-b+3)=5. Then, divide by (a-b+3). If a and b had set values, then just add all the x values and solve.
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Hi my lil bunny!
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Lets do this step by step.
Simplify 5 by ( b - x)
Apply the distributive property.
[tex]5b + 5 ( -x ) = 2b + ax[/tex]
Multiply -1 by 5.
[tex]5b - 5x = 2b + ax[/tex]
Subtract ax from both sides of the equation.
[tex]5b - 5x - ax = 2b[/tex]
Move all terms not containing x to the right side of the equation.
Subtract 5b from both sides of the equation.
[tex]-5x - ax = -3b[/tex]
Subtract 5b from 3b.
[tex]-5x - ax = -3b[/tex]
Factor x out of -5x - ax .
[tex]x ( -5 - a ) = -3b[/tex]
Divide each term by = -3b.
Divide each term in x ( -5 - a) = -3b by - 5 -a.
[tex]\frac{x( -5 - a)}{-5 - a} = \frac{-3b}{-5 - a}[/tex]
Cancel the common factor of -5 - a.
[tex]x = \frac{-3b}{-5 - a}[/tex]
Simplify [tex]\frac{-3b}{-5 - a}[/tex]
[tex]x = \frac{3b}{5 + a}[/tex]
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
.
Look at the table. Is ƒ(x) an exponential function? If so, identify the base. If not, why not?
No, there is no base common to any two successive terms.
yes, the base is 4
Answer:
yes, the base is 4
Step-by-step explanation:
Which of the following graphs is the graph of
Answer:
Graph A is the one that represents the given piecewise function.
Step-by-step explanation:
Notice that the Domain of the given function has been partitioned in three sections:
[tex]-2\leq x<0\,\,; \,\,\,x = 0\,\,;\,\,\,0<x\leq 2[/tex]
in the first section we have that the function responds to [tex]f(x)=x-1[/tex], which is a line of positive slope (ascending line) equal to "1", and y-intercept at y= -1.
This line should therefore start at the point (-2, -3) (when x = -2) and end at y almost equal to -1, when x approaches the value zero; and an empty dot should be seen in the position (0, -1)
For x = 0 we should see a solid dot located at the position (0, 1) on the plane.
And finally for the third section we should see a horizontal segment (that represents a constant value of 3, starting with an empty dot at the point (0, 3), and ending on a solid dot located at (2, 3).
This is what we see represented by the graph labeled A in the list of answer options.
Answer:
B
Step-by-step explanation:
Complete the square to rewrite y = x2 + 8x+ 3 in vertex form, and then identify
the minimum y-value of the function.
Please answer ASAP!!!
====================================================
Work Shown:
y = x^2 + 8x + 3 is the same as y = 1x^2 + 8x + 3
It is in the form y = ax^2 + bx + c
a = 1
b = 8
c = 3
Plug the values of a and b into the formula below to get the x coordinate of the vertex (h,k)
h = -b/(2a)
h = -8/(2*1)
h = -8/2
h = -4
Plug this into the original equation to get its paired y value. This will get us the value of k
y = x^2 + 8x + 3
y = (-4)^2 + 8(-4) + 3
y = 16 - 32 + 3
y = -13
This is the smallest y output possible. Therefore it is the minimum. The minimum occurs at the vertex (h,k) = (-4, -13)
We know we are dealing with a minimum because a = 1 is positive forming a parabola that opens upward. If a < 0, then the parabola would open downward to yield a maximum.
if a/b and c/d are rational expressions, then a/b divided by c/d=a•d/b•c
The expression a/b ÷ c/d = ad/bc is A. true.
To show that if a/b and c/d are rational expressions, then a/b ÷ c/d = ad/bc
Rational ExpressionsRational expressions are expressions of the form a/b where a and b are integers and b ≠ 0
If the rational expression a/b is to be divided by c/d, we take the reciprocal of the expression on the right side of the division sign.
So, L.H.S = a/b ÷ c/d
= a/b × 1/(c/d)
= a/b × d/c
= ad/bc
= R.H.S
Since L.H.S = R.H.S.
a/b ÷ c/d = ad/bc
So, the expression a/b ÷ c/d = ad/bc is A. true.
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Solve
5/x+y - 2/x-y = -1 and 15/x+y + 7/x-y = 10
Using cross-multiplication method.
Answer:
x = 3 and y = 2
Step-by-step explanation:
Start by multiplying the first equation by "-3" so we can cancel the term with denominator (x+y) when we combine:
[tex]\frac{(-3)\,5}{x+y} -\frac{(-3)\,2}{x-y} =(-3)(-1)\\\frac{-15}{x+y} +\frac{6}{x-y} =3[/tex]
which now added term by term to the second equation gives:
[tex]\frac{-15}{x+y} +\frac{6}{x-y} =3\\\frac{15}{x+y} +\frac{7}{x-y} =10\\ \\\frac{13}{x-y} =13[/tex]
Now we solve for x-y by cross multiplying:
[tex]\frac{13}{13}=x-y\\ x-y=1\\x=y+1[/tex]
Now we use this substitution for x back in the first equation to solve for the unknown y:
[tex]\frac{5}{(y+1)+y} -\frac{2}{(y+1)-y} =-1\\\frac{5}{2y+1} -2=-1\\\frac{5}{2y+1}=1\\5=2y+1\\4=2y\\y=2[/tex]
and now that we know that y = 2, we use the substitution equation to solve for x:
[tex]x=y+1\\x=2+1\\x=3[/tex]
numa prova de múltipla escolha com 30 questões, o aluno ganha 3 pontos por cada questão que acerta, mas perde 2 pontos por cada questão que erra. Marcelo resolveu todas as questões dessa prova e conseguiu 50 pontos. Quantas questões ele acertou?
Answer:
Marcelo acertou 22 questões.
Step-by-step explanation:
Vamos representar
Questões que acerta = a
Questões que erra = b
a + b = 30 .......... Equação 1
a = 30 - b
o aluno ganha 3 pontos por cada questão que realizar, mas perde 2 pontos por cada questão que ocorrerá.
Matematicamente:
3 × a - 2 × b = 50
3a - 2b = 50 pontos ............. Equação 2
Substitua 30 - b por a na Equação 2
3 (30 - b) - 2b = 50
90 - 3b - 2b = 50
90 - 5b = 50
Colete termos semelhantes
90 - 50 = 5b
5b = 40
b = 40/5
b = 8
Questões que erra = b
Marcelo, portanto, perdeu 8 questões.
Dizem-nos que ele respondeu todas as 30 questões. Portanto, se ele perdeu 8 questões, o número de questões acertadas é representado pela Equação 1
a + b = 30 .......... Equação 1
a + 8 = 30
a = 30 - 8
a = 22 questões.
Portanto, ele acertou 22 questões.
for a scavenger hunt, jim's mom distributed a bag of 725 jelly beans evenly into 29 plastic containers and hid then around the yard. if, after the hunt, jim has total of 275 jelly beans, then how many of the plastic containers did he find?
Answer:
11 bags
Step-by-step explanation:
725 jelly beans evenly into 29 plastic containers:
725/29=25 jelly beans in each plastic containers
275/25=11 Jim found eleven bags
Answer:
11 containers
Step-by-step explanation:
His mom evenly divided the jelly beans into containers. There are 725 jelly beans and 29 containers. To find how many jelly beans are in each container, divide 725 by 29.
725/29
25
There are 25 jelly beans in every container.
After the hunt, Jim had 275 jelly beans. There are 25 beans in each container. To find the number of containers, we can divide 275 by 25.
275/25
11
He found 11 containers.
HELP ASAP! Will name brainliest!
Answer:
The answer to your question is given in the attached photo.
Step-by-step explanation:
To determine the answer to the question,
First, we shall determine the value 3A.
This is obtained by multiplying matrix A by 3 as shown in the attached photo.
Next, we shall carry out the operation 3A – B as shown in the attached photo.
If the m1 = 40, what is the m 3
Answer:
Your Answer is 120Step-by-step explanation:
m1=40
Taking m3
m3=40 ×3
m3= 120
Hope It helps UIf f(x) = x-5, ther match each of the following.
4
1 f(-1)
-6
2. f(0)
3. f(1)
-3
4. f(2)
3
5. f(5)
-5
6. f(8)
0
Answer:
1. f(-1) = -6
2. f(0) = -5
3. f(1) = -4
4. f(2) = -3
5. f(5) = 0
6. f(8) = 3
Step-by-step explanation:
1. f(-1)=-1-5=6
substitute the x value into the equation.
2. f(0)=0-5=-5
3. f(1)=1-5=-4
4.f(2)=2-5=-3
5. f(5)=5-5=0
6. f(8)=8-5=3
En un colegio, dos séptimos de total de los estudiantes asisten al taller de escultura, un décimo al taller de guitarra y dos quintos al taller de computación. ¿Qué fracción del total de los estudiantes no asiste a estos talleres?
Answer:
3/14
Step-by-step explanation:
En esta pregunta, nos preocupa calcular la fracción de los estudiantes que no asisten a los talleres.
Para obtener la fracción que no asiste a los talleres, lo que debemos hacer es sumar las fracciones de cada uno de los talleres y restar el total de 1.
Matemáticamente eso sería;
1- (2/7 + 1/10 + 2/5)
Agregando los términos en el paréntesis, tenemos;
(20+ 7 + 28) / 70 = 55/70 = 11/14
Restando esto de 1, tenemos; 1-11 / 14 = 3/14
Which of the following is an equation that best describes compound interest?
Answer:
Compound interest is best defined as:
Earning interest on interest.
Compound interest is earning interest on interest.
What is compound interest?Compound interest is an interest accumulated on the principal and interest together over a given time period. The interest accumulated on a principal over a period of time is also accounted under the principal. Further, the interest calculation for the next time period is on the accumulated principal value. Compound interest is the new method of calculation of interest used for all financial and business transactions across the world. The power of compounding can easily be understood, when we observe the compound interest values accumulated across successive time periods.
Compound Interest = Interest on Principal + Compounded Interest at Regular Intervals
The compound interest is calculated at regular intervals like annually(yearly), semi-annually, quarterly, monthly, etc; It is like, re-investing the interest income from an investment makes the money grow faster over time! It is exactly what the compound interest does to the money. Banks or any financial organization calculate the amount based on compound interest only.
as, we know that Compound interest is an interest accumulated on the principal and interest together over a given time period.
So, we can also write Earning interest on interest.
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