The value of the give expression is [tex]\frac{313}{748845}[/tex] OR 4.18 × 10⁻⁴
Evaluating an ExpressionFrom the question, we are to determine the value of
2(5+34-67/45*43)^2
This can be written as
[tex]2 (\frac{5+34-67}{45 \times 43 })^{2}[/tex]
First, we will simplify the bracket
[tex]2 (\frac{-28}{1935 })^{2}[/tex]
Then, we get
[tex]2 \times \frac{-28}{1935 }\times \frac{-28}{1935 }[/tex]
= [tex]\frac{1568}{3744225}[/tex]
= [tex]\frac{313}{748845}[/tex] OR 4.18 × 10⁻⁴
Hence, the value of the give expression is [tex]\frac{313}{748845}[/tex] OR 4.18 × 10⁻⁴
Lear more on Evaluating an expression here: https://brainly.com/question/23133222
#SPJ1
On a number line, 6.3 would be located ______. Choose all answers that make a true statement.
6.3
《--|----|----|----|----|----|----|----|----|----|--》
A. between 6.2 and 6.4
B. to the left of 6.42
C. to the right of 6.45
D. to the right of 6.5
Answer:
A).
Step-by-step explanation:
The numbers should be in consecutive order e.g. - 6.2 6.3 6.4
What are the coordinates for point b?
a. (7, 0)
b. (0, 7)
c. (0, 8)
d. (1, 7)
The coordinates for point B are (a) (7,0)
Complete QuestionPoint B is located 7 units right of the origin. What are the coordinates for point b?
How to determine the coordinates?The origin is located as:
(0,0)
From the question, we understand that:
B ⇒ 7 unit right of origin
This means that:
B = (0 + 7, 0)
Evaluate the sum
B = (7,0)
Hence, the coordinates for point B are (a) (7,0)
Read more about coordinates at:
https://brainly.com/question/17206319
#SPJ1
Answer:a
Step-by-step explanation:
Decrease 80g by 12.5%
The figure below shows a circular park. Its radius is 18 yd.
Circumference
2πr2(18)(3.14)36(3.14)113.04ydArea
πr²π(18)²324π yd²Answer:
Ig u have forgotten about the figure u need to ask it again but with figure
Find the common difference, the 52nd term, and the SIMPLIFIED general term formula.
1) 21, 51, 81, 111, ….
I need this ASAP!!!!! PLEASE I’M begging you!!!!
Answer:
Common difference: 30
General term formula: [tex]a_n=30n-9[/tex]
52nd term: 1551
Step-by-step explanation:
Given sequence:
21, 51, 81, 111
Calculate the difference in terms:
[tex]21 \underset{+30}{\longrightarrow} 51 \underset{+30}{\longrightarrow} 81 \underset{+30}{\longrightarrow} 111[/tex]
The sequence is increasing by 30 each time, so as there is a common difference, this is an arithmetic sequence with a common difference of 30.
General form of an arithmetic sequence
[tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between consecutive termsGiven:
a = 21d = 30Substitute the given values into the formula to find the general term formula:
[tex]\implies a_n=21+(n-1)30[/tex]
[tex]\implies a_n=21+30n-30[/tex]
[tex]\implies a_n=30n-9[/tex]
To find the 52nd term, simply substitute n = 52 into the found general term formula:
[tex]\implies a_{52}=30(52)-9[/tex]
[tex]\implies a_{52}=1560-9[/tex]
[tex]\implies a_{52}=1551[/tex]
Which of these are factors of this polynomial?
-3x3 + 15x2 + 3x - 15
0 (x + 1)
3x
(3x - 1)
(x - 5)
-3
(x + 5)
(x - 1)
0
0
This circle is centered at the origin, and the length of its radius is 8. What is
the circle's equation?
or +
5
8
5
OA. x+y=8
OB.x²2² +2²=8
OC. x + y = 64
OD. x² + y² = 64
4
Answer:
D
Step-by-step explanation:
x² + y² = 64, because when x is 0, y = ± 8, when y is 0, x = ± 8, that is the radius r
The equation of a circle with center at the origin and radius 8 is,
⇒ x² + y² = 64
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
This circle is centered at the origin, and the length of its radius is 8.
Since, The equation of a circle with center at the origin and radius r is,
⇒ x² + y² = r.
Hence, for this circle, the equation would be;
⇒ x² + y² = 8²,
or simplified,
⇒ x² + y² = 64
Thus, The equation of a circle with center at the origin and radius 8 is,
⇒ x² + y² = 64
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ5
PLEASE HELP RNNN HELPPPPPPPPPPPP
Answer:
I think favorable outcomes are just the outcomes
which is 6
SR, SB, MR, MB, LR, LB
Step-by-step explanation:
Find a the shortest distance from d to b
Please helppppppp????
The volume of the spherical ball will be 4 · π · 3² · 10⁶ cubic cm. Then the correct option is A.
The complete question is attached below.
What is the volume of the sphere?Let r be the radius of the sphere.
Then the volume of the sphere will be
V = 4/3 πr³ cubic units
The radius of the sphere is 3·10² cm.
Then the volume of the spherical ball will be
V = 4/3 πr³
V = 4/3 π(3 x 10²)³
V = 4/3 · π · 3³ · 10⁶
V = 4 · π · 3² · 10⁶ cubic cm
Then the correct option is A.
More about the volume of the sphere link is given below.
https://brainly.com/question/9994313
#SPJ1
Using two six-sided number cubes, each labeled with the numbers 1 through 6, event A is defined by rolling a sum greater than 8. Which of the following shows the
sample space of event A?
The sample space of event A would be {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}
What is a sample space for a random experiment?An experimenter does some random experiments which have a fixed set of outputs. That set of all possible outputs of that experiment is called sample space.
Using two six-sided number cubes, each labeled with the numbers 1 through 6.
Event A is defined by rolling a sum greater than 8.
Then the sample space of event A would be;
{(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}
Learn more about sample space of a random experiment here:
https://brainly.com/question/9773761
#SPJ1
Answer:
{(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}
proof in pic
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
Equation 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p has the same soltion as the provided equation option second and third are correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an equation:
2.3p – 10.1 = 6.5p – 4 – 0.01p
Combine like terms:
2.3p – 10.1 = 6.49p – 4
Or in the equation 2.3p – 10.1 = 6.5p – 4 – 0.01p mulitply by 100 on both sides.
We get:
230p – 1010 = 650p – 400 – p
Thus, equation 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p has the same soltion as the provided equation option second and third are correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ1
a car travels along the highway to little rock a steady speed. when it begins it is 280 miles after 4 hours it 100
The function that describes the car's distance from little rocks would be option A; y = 45x + 280
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Point 1:
(x, y) = (0, 280)
Since we are told the car's initial position is 280 miles in the time 0 h
Point 2:
(x, y) = (4, 100)
Since we are told the car's final position is 100 miles after 4h.
Let's find the Slope :
m = 45
Now, the equation of the line is:
y = mx + b
y = 45x + 280
Then, The function that describes the car's distance from little rocks would be option A; y = 45x + 280
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ1
Kara wants to order lunch for her friends. She'll order 4 rice bowls and a $5
child's meal for her brother. Kara has $29. How much can she spend on each
rice bowl if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
Answer:
4x+5 ≤29. Answer = $6 or less
Step-by-step explanation:
1. x= the price of the rice bowl
2. 4x= price of 4 rice bowls
3. So we get 4x+5(The total amount of their purchase)
4. Kara has only $29 so she can spend that much
5. The inequality 4x+5≤29 represents how much can she spend on each rice bowl.
6. The answers include $6,$5,$4,$3,$2, and $1 or less.
Write 3x^2+12x+20 in the form a(x+b)^2+c
The equation is written as 3(x+12)²+20.The formula for ax² + bx + c is (Ax + B)² + C.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
3x^2+12x+20
The equation is compared the equation with,ax²+bx+c
After comparing the equation we get;
a=3
b=12
c=20
The equation is written in the form as;
⇒a(x+b)^2+c
⇒3(x+12)²+20
The formula for ax² + bx + c is (Ax + B)² + C.
Hence the equation is written as 3(x+12)²+20.
To learn more, about equations, refer;
https://brainly.com/question/10413253
#SPJ1
Please help me solve this
The area bounded by the curves y = 8x – x² and y = 7 will be 36 square units.
The complete question is given below.
What is an area bounded by the curve?When the two curves intersect then they bound the region is known as the area bounded by the curve.
The curves are given below.
y = 8x – x²
y = 7
By solving the equations 1 and 2, then we have
8x – x² = 7
x² – 8x + 7 = 0
(x – 1)(x – 7) = 0
x = 1, 7
Then the area bounded by the curves y = 8x – x² and y = 7 will be
[tex]A = \int _1^7 [(8x - x^2) - 7] \ dx\\\\A = \left [ 4x^2 - \dfrac{x^3}{3} - 7x \right ]_1^7\\\\A = \left [ 4 * 7^2 - \dfrac{7^3}{3} - 7*7 \right ] - \left [ 4*1^2 - \dfrac{1^3}{3} - 7*1 \right ]\\\\[/tex]
On further solving we have
A = 32.667 + 3.333
A = 36 square units
More about the area bounded by the curve link is given below.
https://brainly.com/question/24563834
#SPJ1
please help me(20 points will give brainliest!!!)
Answer:
A. Vertex is ( -1, 16)
B. Do they mean y-intercept for vertical intercept? That is (0,14)
C. X-intercepts are
(-3.838, 0) and (1.828, 0)
Step-by-step explanation:
plug the equation into desmos. It will graph and give you the info.
To find y-int, plug in 0 for x. This gives you the point 0, 14.
You can also use the quadratic equation to find the x-intercepts.
Answer:
see explanation
Step-by-step explanation:
A
given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 ) , then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = - 2x² - 4x + 14 ← is in standard form
with a = - 2, b = - 4 , then
x = - [tex]\frac{-4}{-4}[/tex] = - 1
substitute x = - 1 into f(x) for corresponding y- coordinate
f(- 1) = - 2(- 1)² - 4(- 1) + 14 = - 2 + 4 + 14 = 16
vertex = (- 1, 16 )
B
to find the y- intercept let x = 0
f(0) = - 2(0)² - 4(0) + 14 = 0 - 0 + 14
y- intercept = (0, 14 )
C
to find the x- intercepts let f(x) = 0 , that is
- 2x² - 4x + 14 = 0 ( divide through by - 2 )
x² + 2x - 7 = 0 ( add 7 to both sides )
x² + 2x = 7
using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = 7 + 1
(x + 1)² = 8 ( take square root of both sides )
x + 1 = ± [tex]\sqrt{8}[/tex] ( subtract 1 from both sides )
x = - 1 ± [tex]\sqrt{8}[/tex]
then
x = - 1 - [tex]\sqrt{8}[/tex] ≈ - 3.83 ( to 2 dec. places )
x = - 1 + [tex]\sqrt{8}[/tex] ≈ 1.83 ( to 2 dec. places )
that is x- intercepts are (- 3.83, 0 ) , (1.83, 0 )
Which equation can be used to solve for x in the triangle below?
Using the cosine rule, the equation to use to solve for x is: x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41)) ≈ 3.1 cm.
How to Use the Cosines Rule to Solve a Triangle?The cosine rule is given as, c = √(a² + b² − 2ab × cos(C))
Given the following:
c = x = ?a = 4.0 cmb = 4.7 cmC = 41°Plug in the values:
x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41))
x ≈ 3.1 cm
Learn more about the cosine rule on:
https://brainly.com/question/23720007
#SPJ1
The two-way table of column relative frequencies below summarizes survey data on who a person's role model is and their highest level of education.
Based on the data, which of the following statements must be true of the people surveyed?
A) A person whose role model is a family member is less likely to have an advanced degree than a person whose role model is a friend or acquaintance.
B)
A person whose role model is a stranger is more likely to have high school than some college as their highest level of education.
C) A person whose highest level of education is a bachelor's degree is more likely to have a family member than a stranger as a role model.
D) A person whose highest level of education is less than high school is more likely to have a stranger than a friend or acquaintance as a role model.
Based on the data, the true statement about the people surveyed is: option B.
What is a two-way frequency table?A two-way frequency table is a table that's used to graphically the represent frequencies or relative frequencies that are associated with two categorical variables such as role model and level of education.
By critically observing the data provided in this two-way frequency table, we can infer and logically deduce that a person whose role model is a stranger is more likely to have high school (0.4 or 40&) than some college as their highest level of education.
Read more on two-way frequency here: https://brainly.com/question/20744563
#SPJ1
Answer:
B
Step-by-step explanation:
14%start color #11accd, 14, percent, end color #11accd of the people whose role model is a family member have an advanced degree, but only \maroonD{12\%}12%start color #ca337c, 12, percent, end color #ca337c of people whose role model is a friend or acquaintance have an advanced degree.
This statement is false.
40%start color #1fab54, 40, percent, end color #1fab54 of people who role model is a stranger have high school as their highest level of education, while only \purpleC{23\%}23%start color #aa87ff, 23, percent, end color #aa87ff have some college as their highest level.
This statement is true.
We only know the column relative frequencies, not the row relative frequencies, so we cannot make this claim.
If there were an equal number of people with family members and strangers as role models, then the statement would be true. However, suppose this data came from a sample where 100100100 people have a family member as a role model and 400400400 people have a stranger as a role model.
Family member: 0.23(100)=230.23(100)=230, point, 23, left parenthesis, 100, right parenthesis, equals, 23 would have a bachelor's degree as their highest level of education
Stranger: 0.14(400)=560.14(400)=560, point, 14, left parenthesis, 400, right parenthesis, equals, 56 would have a bachelor's degree as their highest level of education
Without knowing the total number of people in each group, or the row relative frequencies, we can't say this statement is true.
We only know the column relative frequencies, not the row relative frequencies, so we cannot make this claim.
If there were an equal number of people with friends or acquaintances and strangers as role models, then the statement would be true. However, suppose this data came from a sample where 400400400 people have a friend or acquaintance as a role model and 200200200 people have a stranger as a role model.
Friend or acquaintance: 0.12(400)=480.12(400)=480, point, 12, left parenthesis, 400, right parenthesis, equals, 48 would have finished less than high school
Stranger: 0.19(200)=380.19(200)=380, point, 19, left parenthesis, 200, right parenthesis, equals, 38 would have finished less than high school
Without knowing the total number of people in each group, or the row relative frequencies, we can't say this statement is true.
Based on this data, the statement which must be true is, "A person whose role model is a stranger is more likely to have high school than some college as their highest level of education. "
35/40 reducing fractions
Answer: 7/8
What you have to do here is to find the highest number which can be divided by both. Or you have to divide both the numerator and denominator until it can not be divided by any number anymore. You can do this by finding the highest common factor (HCF) of both the number, 35 and 40.
Highest Common Factor: HCF of two or more numbers is the greatest factor that divides the numbers. For example, 2 is the HCF of 4 and 6.
So, the highest number which divides 35 and 40, is 5. Now 35 divided by 5 is 7 and 40 divided by 5 is 8. The final answer is 7/8 and there is no more numbers which can divide both of them by a specific number.
∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
hope it helped
┗━━━━━━━┛
please tell me the answer...
due today
Answer:
I think
each division is subtracted like
8 - 4 = 4
so that why it's written as
1/4 ...........
1/8 1/8 ..........
Step-by-step explanation:
if understand I need brainlist
if not then also
thanks
Let a population consist of the values cigarettes, cigarettes, and cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population?.
Based on the given mean absolute deviations, the sample mean absolute deviation will be 2 and the population mean absolute deviation will be 3.8.
What is the sample mean absolute deviation?= Sum of sample mean absolute deviation / Number
= (0 + 0.5 + 4.5 + 0.5 + 0 + 4 + 4.5 + 4 + 0) / 9
= 2
What is the population mean absolute deviation:First find the population mean:
= (10 + 11 + 19) / 3
= 13.3
Population mean absolute deviation:
= 1/3 x ( (10 - 13.67) + (11 - 13.3) + (19 - 13.3))
= 3.8
We can therefore see that the sample mean deviations is a biased estimate of the population mean absolute deviation.
Find out more on sample mean deviations at https://brainly.com/question/814700.
#SPJ1
which system of equations is represented by the graph?
A. y=x² + 3x
y = -x² + x + 18
B. y=x²
y = -x² +18
C. y=x²
y = x² + 18
D. y=x²
y=-x²-x-18
Answer:
B
Step-by-step explanation:
We see the graph of y=x², so eliminate A.
Since the second graph opens downwards, the coefficient of x² must be negative, so eliminate C.
Also, the axis of symmetry is x = 0, so eliminate D.
This leaves us with B
the area of an issoseles triangle is 240 if the base is 24cm find the length of each sides
Answer:
Both of the two unknown sides of the triangle are 23.32 cm
Step-by-step explanation:
"Isosceles" means that the triangle has two equal sides. It is quite symmetrical. If we draw in the height, the base will be cut right in half by it. See image.
First use area formula:
A = 1/2bh
to find the measure of the height (Area and base were both given)
Then use the Pythagorean Theorem to solve for the hypotenuse, which is the side of the triangle. See image.
Solve for x.
Use the quadratic formula.
2x² - 9x + 8 =0
Answer:
x = 9/4 + 1/4 √17 or x = 9/4 + −1/4 √17
/ = over
Step-by-step explanation:
a = 2, b=-9, c=8
x = −b±√b2−4ac/2a
x = −(−9)±√(−9)2−4(2)(8)/2(2)
x = 9±√17/4
x = 9/4 + 1/4 √17 or x = 9/4 + −1/4 √17
On January 1, 2023, One of Mr. Cutter’s chickens flies away and lands on a Hawaiian Island. She
immediately begins laying and hatching eggs. The chicken population on the island begins to
triple every year. Write and graph a function that represents this situation. How many chickens
will be on the island on January 1, 2033?
Answer:
Step-by-step explanation:
Do you have any options or a graph?
Pleaseee hurry and answer
Section B, Q5
please answer, it is urgent
8.
36.2
22.3
- 30-
33
Find the value of x.
(Round answer to the nearest tenth when necessary)
44.6
33.2
Answer:
36.2
Step-by-step explanation:
Assuming that the dotted line is a perpendicular bisector, we can say that it splits the side that is 30 units long into 2 sets of 15 units. Then, we can use the pythaogrean theorem to solve (Leg A is 33 and Leg B: 15). a^2+b^2=c^2
33^2+15^2=c^2
1089+225=c^2
1314=c^2
Square root of 1314 = square root of c^2
36.2 aapproximately c
Ethan is using 30 cupcakes . he spreads mint icing on 1/5 of the cupcakes and chocolate on 1/2 of the reimagining cupcakes . the rest will get vanilla frosting. how many will have vanilla frosting
Answer:
12 Vanilla Frosted Cupcakes
Step-by-step explanation:
30 Cupcakes.
1/5 Of 30 is 6.
30 - 6 = 24.
24/2 = 12.