Answer:
Option (1)
Step-by-step explanation:
Given linear inequalities in the graph are,
[tex]y\geq -\frac{1}{3}x+2[/tex]
y < 2x + 3
Here shaded area above the solid line represents the inequality,
[tex]y\geq -\frac{1}{3}x+2[/tex]
And shaded area on the right side of the dotted line represents the solution set of the inequality,
y < 2x + 3
And the solution set of the system of linear inequalities will be represented by the common area of these inequalities.
Therefore, ordered pairs (2, 2), (3, 1) and (4, 2) will lie in the common shaded area.
Option (1) will be the answer.
what is the nth term rule of the linear sequence below 15, 7, -1, -9, -17
Answer:
8n+7
Step-by-step explanation:
A school crossing sign is shown. Find the measures of angle A and angle C
Answer:
m∠A = 135°
m∠C = 135°
Step-by-step explanation:
There are 540° in a pentagon.
You are given 3 90° angles
540-90(3) = 270
∠A and ∠C are congruent
270/2 = 135° each
HURRY PLEASE ANSWER MY QUESTION!!
Answer:
f(x) = 3.56(2.04)^x
Step-by-step explanation:
Put x as 2, to see whether the output will be close to 16.
116.4 - 42.8 ln(2) = 86.733301
2.04(3.56)^2 = 25.854144
3.56(2.04)^2 = 14.815296
-42.8 + 116.4 ln(2) = 37.882332
Put x as 3, to see whether the output will be close to 30.
116.4 - 42.8 ln(3) =69.379394
2.04(3.56)^3 = 92.040753
3.56(2.04)^3 = 30.223204
-42.8 + 116.4 ln(3) = 85.07847
Put x as 6, to see whether the output will be close to 271.
116.4 - 42.8 ln(6) = 39.712695
2.04(3.56)^6 = 4152.69615
3.56(2.04)^6 = 256.584846
-42.8 + 116.4 ln(6) = 165.760802
Put x as 7, to see whether the output will be close to 522.
116.4 - 42.8 ln(7) = 33.115046
2.04(3.56)^7 = 14783.598295
3.56(2.04)^7 = 523.433085
-42.8 + 116.4 ln(7) = 183.703941
The exponential function that models the data is f(x) = 3.56(2.04)^x.
Adam had some candy to give to his three children. He first took seven pieces for himself and then evenly divided the rest among his children. Write an expression for how many pieces each child received.
Answer: The expression is (c-7) / 3
Step-by-step explanation:
Let's say Adam has c pieces of candy
He took seven pieces for himself which means we can write this as c-7
He then divided this amount between his 3 children (c-7)/3
Homework help, one of the few I have
Answer:
x=4 and the solution is not extraneous
Step-by-step explanation:
[tex]\sqrt{2x+1}=3 \\\\2x+1=9 \\\\2x=8 \\\\x=4[/tex]
This solution is not extraneous, because plugging it back in you get:
[tex]\sqrt{2(4)+1}=3 \\\\\sqrt{9}=3 \\\\3=3[/tex]
Hope this helps!
Answer:
X = 4, solution is not extraneous
Step-by-step explanation:
3 = √9
so we get the following comparison;
2X + 1 = 9 (both minus 1)
2X = 8 (divide by 2)
X = 4
if we fill in 4 for X. we get
√2•4+ 1 = √9 = 3 so the solution is not extraneous
An equilateral triangle has an apothem measuring 2.16 cm
and a perimeter of 22.45 cm.
What is the area of the equilateral triangle, rounded to the
nearest tenth?
2.7 cm
4.1 cm2
16.2 cm2
24.2 cm
2.16 cm
Answer:
d) 24.2 cm²
Area of equilateral triangle A = 24.22 cm²
Step-by-step explanation:
Step(i):-
Perimeter of equilateral triangle = 3 a
Given Perimeter of equilateral triangle = 22.45 cm
now 3 a = 22.45
Dividing '3' on both sides,we get
a = 7.48 cm
Step(ii):-
Area of equilateral triangle
[tex]A = \frac{\sqrt{3} a^{2} }{4}[/tex]
[tex]A = \frac{\sqrt{3} (7.48)^{2} }{4}[/tex]
A = 24.22 cm²
Conclusion:-
Area of equilateral triangle A = 24.22 cm²
Answer:
The answer is 24.2
Step-by-step explanation:
on edg. 2020
100 were students interviewed, 28 took PE, 31 took bio, 42 took English, 9 took PE and biology, 10 took PE and english, 4 took all three subjects.
(1) how many students took none of the three subjects.
(2) how many students took PE, but not biology or English.
(3) how many students took biology and PE but no English.
Evaluate -32 + (2-6)(10).
Answer:
-72
Step-by-step explanation:
-32 + (2-6)(10).
PEMDAS
parentheses first
-32 + -4*10
Then multiply
-32 -40
Then subtract
-72
Answer:
-49
Step-by-step explanation:
If p:q =3/4 :2 and p:r= 1/3 :1/2 find p:q:r Please explain with steps
Answer:
p : q : r = 1 : 8/3 : 3/2
Step-by-step explanation:
p/q = (3/4)/2 = 3/(4*2) = 3/8
=> q = (8/3)p
p/r = (1/3)/(1/2) = (1*2)/(3*1) = 2/3
=> r = (3/2)p
=> (p, q ,r) = (p, (8/3)p, (3/2)p)
=> p : q : r = 1 : 8/3 : 3/2
Hope this helps!
Which value would make the statement true?
Which linear inequality is represented by the graph
Answer:
y≤ 2/3x+1/5
Step-by-step explanation:
y≤ 2/3x+1/5
The slope of a line is 2/3 . What is the slope of a line that is perpendicular to this line?
Answer:
-3/2
Step-by-step explanation:
With perpendicular lines, the slope switches to its reciprocal and and positive/negative sign switches, i.e, the 2/3 will switch to 3/2 and since the original is positive, the new slope will be negative
Answer:
Slope is -3/2
Step-by-step explanation:
The slope of line that is perpendicular to the line should have a slope that is a negative reciprocal of this slope and multiplying both slopes give us -1
=> The slope of this line is 2/3
=> The slope of line perpendicular to it would be -3/2
Multiplying the two slopes:
=> (2/3)*(-3/2)
=> -1
Which of the following sets represent the range of the diagram below?
Answer:
D. {3, 5, 7}.
Step-by-step explanation:
The range is the set of output values.
It's {3, 5, 7}.
The range of the set ={1,2,3,4,5} is option D which is {3,5,7}.
What is range of a set?
The range of a set is the values which are coming when we put the values of a set in a function.
How to find the range?
We are given the diagram in which the values are 1,2,3,4,5 from which arrows touching 3,5,6. So the domain of the function is 1,2,3,4,5 and the range is 3,5,7.
Hence the range of the set is option D which is {3,5,7}.
Learn more about range at https://brainly.com/question/2264373
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The volume of a cube is 8cm3, find the length of one of it's sides
Answer:
The side length is 2 cm
Step-by-step explanation:
The volume of a cube is s^3
V = s^3
8 = s^3
Take the cube root of each side
8 ^ 1/3 = s^3 ^ 1/3
2 = s
The side length is 2 cm
Answer:
2 cm
Step-by-step explanation:
The volume of a cube can be found using the following formula:
V=s^3
where s is the length of one side. We know the volume is 8 cm^3, therefore we can substitute that value in for V.
8 cm^3=s^3
We want to find what the side length is. The side length is being cubed. The inverse of a cube is the cube root. Therefore, we must take the cube root of both sides, or raise both sides to the power of 1/3.
(8 cm^3)^1/3=(s^3)^1/3
(8 cm^3)^1/3=s
2 cm=s
The length of one side is 2 centimeters.
Very buys a basket of mangoes that is priced $14 before tax. The sales tax is 6%. What is the total price Avery pays for the basket of mangoes
Answer:
Avery needs to pay $14.84
Step-by-step explanation:
When there's a tax we need to sum the original value of the product with the tax's value. To find the amount of money Avery needs to pay in taxes we can apply a rule of three as shown below:
[tex]\frac{14}{x} = \frac{100}{6} \frac{\%}{\%}[/tex]
Where "x" is the tax value, and $14 represents 100%, since it's the value used to calculate the tax. We have:
[tex]x = \frac{14*6}{100}\\x = \frac{84}{100}\\x = 0.84[/tex]
The value to be paid is the product value plus the tax, therefore:
[tex]\text{paid} = 14 + 0.84 = 14.84[/tex]
Avery needs to pay $14.84
Can I have some help please? Thanks!
Answer:
m∠A = 166°
Step-by-step explanation:
∠B and ∠A are corresponding angles because the two lines are congruent. Therefore:
7x + 40 = 3x + 112
Subtract 3x from both sides:
4x + 40 = 112
Subtract 40 from both sides:
4x = 72
Divide both sides by 4:
x = 18
Plug this in for ∠A:
∠A = 7 (18) + 40
m∠A = 166°
A circle has area 841R cm2. What is the diameter? a. 29 pi cm c. 58 cm b. 29 cm d. 58 cm2
Answer:
58cm
Step-by-step explanation:
What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linear function. If two variables are directly proportional, then their graph is not a linear function. If two variables are not directly proportional, then their graph is not a linear function. If the graph of two variables is a linear function, then the two variables are directly proportional. If the graph of two variables is not a linear function, then the two variables are not directly proportional
Answer:
D. "If the graph of two variables is not a linear function, then the two variables are not directly proportional"
Step-by-step explanation:
The contrapositive of a statement is basically you changing the conditional part of the statement with its result and then finding the negative of both. This is called Contraposition.
So, for the statement given:
"If two variables are directly proportional, then their graph is a linear function."
The contrapositive will be:
"If the graph of two variables is not a linear function, then the two variables are not directly proportional"
Answer:
d
Step-by-step explanation:
Radius OB measures x units. Which expression represents
the circumference of the smaller circle with radius OA?
of
olex units
(x units
021x units
0 6ux units
Answer:
Circumference of the smaller circle = 2.1x units
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA ?
Radius of the larger circle OB = x units
Radius of the smaller circle OA = y units
Circumference of larger circle = 2πx units
Circumference of smaller circle = 2πy units
Since circumference of larger circle is 3 times the circumference of smaller circle,
2πx = 3(2πy)
2πx = 6πy
x = 3y
y = [tex]\frac{x}{3}[/tex]
Therefore, circumference of the smaller circle = [tex]2\pi (\frac{x}{3})[/tex] units
= [tex]\frac{2\pi x}{3}[/tex] units
= 2.094x
≈ 2.1x
Circumference of the smaller circle circle = 2.1x units
A standard six-sided die is thrown. What is the probability that the number
that comes up is less than or equal to 2?
Answer:
2/6 or 1/3
Step-by-step explanation:
There are two numbers who are equal or less than 2 its 1 and 2
And the total is 6 so its 2/6 which is 1/3
Sorry if this is late
Answer:
0.33
Step-by-step explanation:
what is the area of the figure below use 3.14 for pie
Answer:
Answer CL 586 cm^2
Step-by-step explanation:
Hello. It's pi, not pie.
The area of the triangle is A1 = (1/2)(base)(height) = (1/2)(18 cm)(7 cm), or
A1 = 63 cm^2.
The area of the rectangle is A2 = (base)(height) = (18 cm)(22 cm) = 396 cm^2.
The area of the semicircle is A3 = (1/2)(pi)(9 cm)^2 = 3.14(81 cm^2)(1/2) = 127 cm^2
Thus, the total area of the figure is A = 127 cm^2 + 396 cm^2 + 63 cm^2, or
586 cm^2 approximately.
please see the attached picture for full solution...
Hope it helps...
Good luck on your assignment....
A car travels at the speed x + 30 kilometers in one hour, where x is an unknown. Find x if this car covers 300 kilometers in 3 hours?
Answer:
[tex]x=70[/tex]
Step-by-step explanation:
We know that the car travels at speed [tex]x+30[/tex] per hour. Thus, after [tex]h[/tex] hours, it will have traveled [tex]h(x+30)[/tex] kilometres.
We are given that it traveled 300 kilometres after 3 hours. So, we have...
[tex]300=3(x+30)[/tex]
[tex]100=x+30[/tex]
[tex]x=70[/tex]
using the order of operation which should be done first to evaluate 6+(-5-7)/2-8(3)?
Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
=> [tex]\frac{6+(-5-7)}{2-8(3)}[/tex]
=> [tex]\frac{6+(-12)}{2-24}[/tex]
=> [tex]\frac{6-12}{-22}[/tex]
=> [tex]\frac{-6}{-22}[/tex]
=> [tex]\frac{3}{11}[/tex]
Step-by-step explanation:
he is talking about the edg question so for the 4 answers its A subtract 7 from-5 B multiply 8 and 3 C devide 7 by 2 D add 6 and -5
please help.. GP is geometric progression
Answer:
unanswerable,don't censore the question
Step-by-step explanation:
sorry pal
Answer:
n is the seventh term=5832
Step-by-step explanation:
a1=8
r=3
a(n)=a1*r^(n-1)=
an=8*3(n-1)
8+24+72+216+648+1944+5832=8744
Can I get help with this problem
Answer:
x = 116°
y = 90°
Step-by-step explanation:
∠F = 90°, so arc EDS = 180°.
Therefore, arc EFS = 360° − 180° = 180°. Which means ∠D = 90°.
Angles of a quadrilateral add up to 360°, so:
x + 90° + 90° + 64° = 360°
x = 116°
Answer:
The value of x is 116° and y = 90°
Step-by-step explanation:
Given that opposite supplementary angles in a cyclic quadrilateral is 180° :
[tex]x + 64 = 180 \\ x = 180 - 64 \\ x = 116[/tex]
[tex]y + 90 = 180 \\ y = 180 - 90 \\ y = 90[/tex]
What is 12 1/2 - (-4 1/2)
Answer:
the correct answer is
Step-by-step explanation:
= 12 1/2 - (-4 1/2)
=17
hope this helps you!!!!!
Answer:
17
Step-by-step explanation:
12 1/2 - (-4 1/2)
Turn to improper fractions.
25/2 - (-9/2)
Negative times negative is positive.
25/2 + 9/2
Add fractions with common denominators.
34/2
Divide.
= 17
will works 6 days a week mum
Answer:
Step-by-step explanation:
a
mm.
Q8 Given that the radius of Mars is
approximtaely 3.4 x 10cubed KM.
Calculate its volume.
Give your answer correct to 3 significant
figures.
Answer:
V = 4.84 × 10⁷ km³
Step-by-step explanation:
Volume of Sphere = [tex]\frac{4}{3}\pi r^3[/tex]
Where r = 3400 km
V = [tex]\frac{4}{3} (3.14)(3400)^3[/tex]
V = (4)(3.14)(11,560,000)/3
V = 48,422,415 km³
Upto 3 sfs:
V = 4.84 × 10⁷ km³
I NEED HELP PLEASE, THANKS! :)
Hey there! :)
Answer:
First option: As x⇒ ∞ f(x) ⇒ -∞. As x⇒ -∞ f(x) ⇒ ∞.
Step-by-step explanation:
Rearrange the equation:
f(x) = -x³ - 2x² + 1
This is a negative cubic function. The function decreases over the interval
(-∞, ∞). Therefore:
As x⇒ ∞ f(x) ⇒ -∞.
As x⇒ -∞ f(x) ⇒ ∞.
This is the first option.
Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees. Which statement is true about the angles?
This question is incomplete because it lacks the appropriate options
Complete Question
Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.
Which statement is true about the angles?
a) Measure of angle A = 20 degrees
b) Measure of angle B = 60 degrees
c) Angle A and Angle B are complementary
d) Measure of angle A + measure of angle C = 100 degrees
Answer:
a) Measure of angle A = 20 degrees
Step-by-step explanation:
It is known that the sum of angles in a triangles = 180°
We are given these values in the question
Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.
Therefore,
Angle A + Angle B + Angle C = 180°
2x + 5x + 11x = 180°
18x = 180°
x = 180°/ 18
x = 10°
Finding each of the angles
Angle A = 2x = 2 × 10 = 20°
Angle B = 5x = 5 × 10 = 50°
Angle C = 11x = 11 × 10 = 110°
Therefore, the correct option is:
a) Measure of angle A = 20 degrees
The true statement is required.
The true statement is that [tex]m\angle A=10^{\circ}[/tex]
[tex]\angle A=2x[/tex]
[tex]\angle B=5x[/tex]
[tex]\angle C=11x[/tex]
The sum of the angles in a triangle is [tex]180^{\circ}[/tex]
So
[tex]\angle A+\angle B+\angle C=180\\\Rightarrow 2x+5x+11x=180\\\Rightarrow 18x=180\\\Rightarrow x=\dfrac{180}{18}\\\Rightarrow x=10[/tex]
[tex]\angle A=2x=2\times10\\\Rightarrow \angle A=10^{\circ}[/tex]
The true statement is that [tex]m\angle A=10^{\circ}[/tex]
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