Answer:
[tex]128[/tex]
[tex]2 {}^{4} \times ( \frac{1}{2 {}^{2} } ) \times 2 {}^{5} = 128 \\2 {}^{9} \times ( \frac{1}{2 {}^{2} } ) \\ 512 \times ( \frac{1}{4} ) \\ \frac{512}{4} \\ 128[/tex]
The simplified value of the given exponential expression is [tex]\frac{1}{2^{2} }[/tex].
What is the exponential expression?"Exponential expressions are just a way to write powers in short form. The exponent indicates the number of times the base is used as a factor."
The given expression is:
[tex](2^{4})(2^{3})/(2^{5})(2^{4} )\\= 2^{4+3}/2^{5+4}\\= 2^{7}/2^{9} \\= 2^{7-9}\\= 2^{-2} \\= \frac{1}{2^{2}}[/tex]
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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
Which segment is an angle bisector of triangle ABC?
A. BX
B. SR
C. BF
D. AR
Answer: A. BX
Step-by-step explanation:
BX is the only line that bisects an angle. BX bisects angle B. Therefore, BX is an angle bisector.
SR is an altitude
BF is a segment of BC
AR is a chord
BX is the angle bisector of triangle ABC.
Angle bisecting refers to dividing an angle into two equal or congruent parts. The line or ray that divides the angle into two equal parts is called the angle bisector. It always cuts the angle into two angles of equal measure.
The properties of an angle bisector are :
It divides the angle into two equal angles, i.e., both resulting angles have the same measurement.
It is equidistant from the two sides of the angle, i.e., any point on the angle bisector is equidistant from the sides of the angle.
If a point lies on the angle bisector, it is equidistant from the two sides of the angle.
So, looking at the properties we can say that BX is the angle bisector of triangle ABC.
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What is the product?
Answer:
third answer is correct
Step-by-step explanation:
hello,
we need to compute
5*(-1)+(-2)*(-1)=-5+2=-3
-6*(-1)+(2)*(-1)=6-2=4
so the correct answer is
-3
4
hope this helps
Which value would make the statement true?
will works 6 days a week mum
Answer:
Step-by-step explanation:
Juan Jiménez le debe a Luis $15, a José le debe $ 8 y a Dana $ 20 y a Juan Jiménez le debe $ 17 Ana, $ 5 Daniela y $ 21 Pedro. ¿Juan Jiménez debe o le deben?
Answer :
Los dos debe y le deben porgue son diffirentes personas. Cuando le pagen los tres Ana, 'daniela y Pedro puede pagarle a Luis, Jose y Juan
Step-by-step explanation:
Juan debe un total de $43 a Luis, Jose y Juan
Ana, Daniela y Pedro le deben a Juan un total de $43
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!
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
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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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....
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:
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
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
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
identify the exponential function for this graph. (be sure to look at the scales on the x-axis and y-axis
A-f(x)=2•(4)^x
B-f(x)=4•(0.25)^x
C.f(x)=2•(0.25)^x
D.f(x)=0.25•(2)^x
Answer:
C
Step-by-step explanation:
Since the y-int. is 2 we know that the coefficient of the exponential term is 2, which eliminates B and D. Since f(x) decreases from left to right, the number in the parentheses has to be less than 1, so the answer is f(x) = 2 * (0.25)^x.
Answer: C.f(x)=2•(0.25)^x
Step-by-step explanation: took the quiz
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:
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.
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.
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
In standard notation 208.06 is written as
Answer:
2.0806 × 10²
Step-by-step explanation:
Answer:
208.06
Step-by-step explanation:
It's already written in standard notation. If you need scientific notation, it's 2.0806×10².
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:
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.
Find the value of x.
which of the following systems of nonlinear inequalities is graphed below?
Answer:
B.
Step-by-step explanation:
The easiest and quickest way to do this is to use common sense/guess and check on the graphing calc. We know from the circle graph that the inside is shaded, so the inequality must be ≤. That eliminates A and C as our answer choices. We are left with B and D. B is the correct choice because of the inequality ≤.
Answer:
B.
Step-by-step explanation:
The circle has center at (0, 0) and radius 3, so its equation is
x^2 + y^2 = 9
Since the shading is inside the circle, the inequality of the circle must be
x^2 + y^2 <= 9
This eliminates choices A. and C.
The parabola has its vertex at (-1, 1) and opens downward, so its equation is
y = -(x + 1)^2 + 1
Since the shading is below the parabola, its inequality is
y <= -(x + 1)^2 + 1
Answer: B.
Write a mathematical sentence that expresses the information given below.
Use s as your variable name. If necessary:
type < = to mean
or > = to mean >
If you need to show multiplication, do not use the letter x. Use the asterisk
(*) symbol instead, or simplify your answer.
Mr. Jones's algebra class has too many students in it. If the class were split
exactly in equal parts to form 3 new classes, each class would have no more
than 14 students in it.
Answer:
s/3 <= 14
Step-by-step explanation:
We choose that s represents the number of students in Mr Jones's algebra class. The s/3 is the number in each class that is 1/3 the size. "No more than 14" means "less than or equal to 14."
s/3 <= 14
__
No specific size is given for a class that does not have the description "too many." So, we can write no specific math sentence to say ...
s is "too many"
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]
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
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:
what is the nth term rule of the linear sequence below 15, 7, -1, -9, -17
Answer:
8n+7
Step-by-step explanation: