Answer:
B. f(x) = | x + 61 |
Step-by-step explanation:
An absolute value function is known by single vertical parenthesis demarcating the equation on both sides.
The only option with this indication is option B.
B. f(x) = | x + 61 |
This equation can be solved in two ways;
first; f(x) = - (x + 61)
second; f(x) = x + 61
If P is inversely proportional to Q and if pad when Q = 4. Find the value
of when Q = 3.
A) 7 B) 6 C) 12
Answer:
8
Step-by-step explanation:
If p is inversely proportional to Q and P is 6 when q = 4, then;
p = k/q
6 = k/4
k = 6*4
k = 24
To get P when q = 3
Recall;
p = k/q
p = 24/3
p = 8
Hence the required value of p is 8
Note that the value of initial Q was assumed
A triangle has side lengths of
[tex] \sqrt{125} [/tex]
[tex] \sqrt{5} [/tex]
[tex] \sqrt{20} [/tex]
What is the perimeter of the triangle?
[tex]4 \sqrt{5} [/tex]
[tex]6 \sqrt{5} [/tex]
[tex]8 \sqrt{5} [/tex]
none of the answers are correct
Answer:
3 is the right one
Step-by-step explanation:
Simple math you know
PLEASE HELPPPP MEEEEE, JUSTFIY PLZZ
Answer:
a. Unsure
b. True
c. Unsure
d. True
A - False
B - True
C- False
D- True
Round 27346 to 2 significant figures i need a step by step expansion
Answer:
27000
Step-by-step explanation:
We want to round 27346 to 2 significant figures.
Now, the number already has 5 significant figures, so to reduce it to 2 sig figures, we will have to reduce the 3 digits from the right to zero so that we can have just 2 significant figures by approximating.
Thus, 3 is less than 5 and so 7 cannot increase. Thus, we will have 27000 as the number when reduced to 2 significant figures.
Find the quotient of z1 by z2. .Express your answer in trigonometric form.
Answer:
[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]
Step-by-step explanation:
Given
[tex]z1 = 12(cos(320^o) + isin(320^o))[/tex]
[tex]z2 = 4(cos(80^o) + isin(80^o))[/tex]
Required
[tex]Quotient = \frac{z_1}{z_2}[/tex]
We have:
[tex]Quotient = \frac{12(cos(320^o) + isin(320^o))}{4(cos(80^o) + isin(80^o))}[/tex]
Divide 12 by 4
[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]
Solve using the following rule:
[tex]\frac{(cos(a) + isin(a))}{(cos(b) + isin(b))} = \cos(a - b) + isin(a - b)[/tex]
So, we have:
[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]
[tex]Quotient = 3(cos(320^o-80^o) + isin(320^o-80^o))[/tex]
[tex]Quotient = 3(cos(240^o) + isin(240^o))[/tex]
Hence:
[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]
need it asap please!!!!
Answer:
they are rational numbers
SOMEONE HELPPP PLEASE!! Complete the table to represent the number of seashells in the collection after the first four summers
Answer:
6 number of seashells for 1 Summer. 21 number of seashells for two summers. 36 number of seashells for three summers. 51 number of seashells for 4 summers.
Step-by-step explanation:
15 substituted in for f and x is the the number of summers.
Answer:
6
21
36
51
Illuminate test.
The zeros of a parabola are 6 and -5. If (-1, 3) is a point on the graph, which equation can be solved to find the
value of a in the equation of the parabola?
O3 = a(-1 + 6)-1-5)
O 3 = a(-1-6)(-1 +5)
O -1 = a(3+6)(3-5)
O-1 = a(3-6)(3+5)
Answer:
3 = a(-1-6)(-1+5).
Step-by-step explanation:
y = a(x - 6)(x + 5)
When x = -1, y = 3 so we have:
3 = a(-1-6)(-1+5).
PLS HELP
a) What is the equation of line A
b) What is the equation of line B
Answer:
The equation of a line A:x=4The equation of a line B:y=8Step-by-step explanation:
i hope this helps u have a nice day .✌❤☘Find the sum sn of the arithmetic sequence a7＝14/3 d＝-4/3 n＝15
Answer:
[tex]S_{15}= 50[/tex]
Step-by-step explanation:
Given
[tex]a_7 = \frac{14}{3}[/tex]
[tex]d = -\frac{4}{3}[/tex]
[tex]n = 15[/tex]
Required
The sum of n terms
First, we calculate the first term using:
[tex]a_n = a + (n - 1)d[/tex]
Let [tex]n = 7[/tex]
So, we have:
[tex]a_7 = a + (7 - 1)d[/tex]
[tex]a_7 = a + 6d[/tex]
Substitute [tex]a_7 = \frac{14}{3}[/tex] and [tex]d = -\frac{4}{3}[/tex]
[tex]\frac{14}{3} = a + 6*\frac{-4}{3}[/tex]
[tex]\frac{14}{3} = a -8[/tex]
Collect like terms
[tex]a =\frac{14}{3} +8[/tex]
Take LCM and solve
[tex]a =\frac{14+24}{3}[/tex]
[tex]a =\frac{38}{3}[/tex]
The sum of n terms is then calculated as:
[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]
Where: [tex]n = 15[/tex]
So, we have:
[tex]S_n = \frac{15}{2}(2*\frac{38}{3} + (15 - 1)*\frac{-4}{3})[/tex]
[tex]S_n = \frac{15}{2}(2*\frac{38}{3} + 14 *\frac{-4}{3})[/tex]
[tex]S_n = \frac{15}{2}(2*\frac{38}{3} - 14 *\frac{4}{3})[/tex]
[tex]S_n = \frac{15}{2}(\frac{2*38}{3} - \frac{14 *4}{3})[/tex]
Take LCM
[tex]S_n = \frac{15}{2}(\frac{2*38-14 *4}{3})[/tex]
[tex]S_n = \frac{15}{2}(\frac{20}{3})[/tex]
Open bracket
[tex]S_n = \frac{15*20}{2*3}[/tex]
[tex]S_n = \frac{300}{6}[/tex]
[tex]S_n = 50[/tex]
Hence,
[tex]S_{15}= 50[/tex]
Find the quotient of these complex numbers (6-I) divided by (4+3i)=
Answer:
[tex]\frac{21}{25} -\frac{22}{25} i[/tex]
Step-by-step explanation:
We can start by writing the division as a fraction:
[tex]\frac{6-i}{4+3i}[/tex]
In order to rationalize the denominator, we need to multiply by the conjugate:
[tex]\frac{6-i}{4+3i} *\frac{4-3i}{4-3i}\\\\\frac{(6-i)(4-3i)}{4^2-(3i)^2}\\\\\frac{24-18i-4i+3i^2}{16+9}\\\\\frac{24-22i-3}{25}\\\\\frac{21-22i}{25} \\\\\frac{21}{25} -\frac{22}{25} i[/tex]
A surveyor asks people whether or not they support their senator's vote on a bill. Choose the type of data that is collected. Group of answer choices quantitative qualitative neither quantitative nor qualitative Not enough information is given
Answer:
Quantitative data
Step-by-step explanation:
The type of data collected when a surveyor asks people whether or not they support their senator's vote on a bill is "quantitative data."
Quantitative data is a type of research data that can be calculated, measured, and formulated using numbers. It is derived using quantitative research, which allows the researcher to gather and analyze data.
Hence, in this case, the surveyors will gather the data based on two groups, those that support the senator's bill and those against it. He will then compare the quantitative numbers gotten from each group.
Emiko makes shibori scarves and sells them for 48 each on a website for hand made goods the expression 48s represents the total price of buying s scarves.
Answer:
Step-by-step explanation:
true
1. number of scarves
2. price per scarf
Step-by-step explanation:
Click on the area of the square?
Answer:
The answer for this question is 64 square centimeters
Step-by-step explanation:
To find the area of square , the formula is :
side × side , so in this question we should do 8×8 , since one of the side is 8 cm .
8×8 = 64
Thus the answer of your question is 64
—————————————————
[tex]\mathrm{A = s²}[/tex]
[tex]\mathrm{A = (8 \: cm)²}[/tex]
[tex]\mathrm{A = (8 \: cm)(8 \: cm)}[/tex]
[tex]{\boxed{\mathrm\green{A = 64 \: cm²}}}[/tex]
༆ANSWER:—————————————————
[tex]\purple{\boxed{\boxed{\tt\pink{64 \: square \: centimeters}}}}[/tex]
Hence, the area of the square that has a side of 8 cm, is 64 cm².Remember!To find the area of a square, just use the formula "A = s²".Solve the problem. An experiment consists of randomly choosing a number between 1 and 10. Let E be the event that the number chosen is even. Assuming that each of the numbers between 1 and 10 is equally likely to be chosen, find P(E).
A) .5
B) .8
C) .1
D) .2
Answer:
A.
Step-by-step explanation:
1. the required probablilty is: P=(number_of_even_numbers)/(number_of_all_the_numbers);
2. according the condition the number of all the numbers is 10; the number of even numbers is 5 (they are: 2; 4; 6; 8; 10), then
3. P=5/10=0.5 (option 'A').
PLZ HELP WILL GIVE 50 POINTS - QUADRATIC APPLICATIONS
find how far away (ground distance) from the catapult will white bird be at its highest. (round to the nearest 2 decimal points)
h= -0.114x^2+2.29x+3.5
Answer:
The bird will be at a ground distance of 10.04 units away.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Equation for the height:
The height of the bird after x seconds is given by:
[tex]h(x) = -0.114x^2 + 2.29x + 3.5[/tex]
Which is a quadratic equation with [tex]a = -0.114, b = 2.29, c = 3.5[/tex].
When the bird is at its highest?
Quadratic equation with [tex]a < 0[/tex], and thus, at the vertex. The ground distance is the x-value of the vertex. Thus
[tex]x_{v} = -\frac{b}{2a} = -\frac{2.29}{2(-0.114)} = 10.04[/tex]
The bird will be at a ground distance of 10.04 units away.
A study records the lengths of pregnancy (in days) of 500 women. The data is normally distributed with a mean of 266 days and a standard deviation of 16 days. How many women in the study had a pregnancy between 250 days and 282 days in length?
Answer:
371 women had their pregnancy between 250 days and 282 days in length.
di po ako sure sa answer ko, but it is based on what I remembered.
Step-by-step explanation:
z=532-266
16
√500
= 371.74 or 371
Lines A and B are parallel
A
1/2
3/125°
B
5/6
7/8
m 6 = [ ?]
==============================================
The 125 degree angle and angle 6 are supplementary. This is because of the same side interior angles theorem.
Let x be the measure of angle 6. Add this to 125, set the sum equal to 180, and solve for x.
x+125 = 180
x = 180-125
x = 55
------------
Or you could approach it this way:
y = measure of angle 2
y+125 = 180
y = 55
angle 6 = angle 2 (corresponding angles)
angle 6 = 55 degrees
-------------
Yet another way you could solve:
z = measure of angle 3
z+125 = 180
z = 55
angle 6 = angle 3 (alternate interior angles)
angle 6 = 55 degrees
A similar approach using alternate interior angles would involve angle 5 = 125, and then noticing that x+125 = 180 solves to x = 55
The distance by road from town A to town B is 257 km. What is 50% of that distance?
Answer: 128.5km
Step-by-step explanation:
Since we are given the information that the distance by road from town A to town B is 257 km. To get 50% of the distance, we simply have to multiply the distance given by 50%. This will be:
= 50% × 257km
= 50/100 × 257km
= 0.5 × 257km
= 128.5km
Therefore, 50% of the distance is 128.5km.
multiply 9 with 3.4? what will be the answer
PLEASE HELP ME FAST
[tex]\boxed{30.6}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]9 \times 3.4 \\ = 30.6[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
if a bag of rice weighs 55 kg find the weight of 123 bags of rice
Answer:
6765
Step-by-step explanation:
the answer is 6765
Answer: 6,765 kg
Step-by-step explanation:
55 x 123 = 6,765kg of Rice
What is the value of the following expression when
y = 4?
y³ + 6
Answer:
70
Step-by-step explanation:
y^3 +6
Let y=4
4^3 +6
64+6
70
FREE BRANLEIST URGENT WITH EQUATION!! WILL REPORT AND GET BANNED IF LINKS AND INCORRECT ANSWERS
Answer:
ok so a it' probabily 21 or a number between 1-10
Step-by-step explanation:
Answer:
q.10 142 degree
q.11 x=11
q.12 complementary angles
which sentence is true iready math
The initial condition for a one-dimensional transient conduction problem is the specification of:_______.
A. the time at which the solution to the problem starts.
B. the properties at the start of the solution.
C. the temperature at the initial time throughout the domain.
D. None of the above
Answer:
C
Step-by-step explanation:
write each verbal phrase as an algebraic expression.
1. the sum of 8 and t
2. the quotient of g and 15
3. the product of 5 and b
4. the difference of 32 and x
Answer:
1. 8 + t
2. g/15
3. 5b
4. 32 - x
Step-by-step explanation:
1. the sum of 8 and t
8 + t
2. the quotient of g and 15
g/15
3. the product of 5 and b
5b
4. the difference of 32 and x
32 - x
At an auditorium, 3 1/2 sections are filled with people watching a play. Exactly 3/5 of the people watching the play are parents. What fraction of the sections are filled with parents?
Answer:
Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section
Step-by-step explanation:
Given:
Total number of sections filled = 3¹/₂ = 7 / 2 sections
Number of fraction parents watching play = 3/5
Find:
Fraction[Total number of sections filled filled with parents]
Computation:
Fraction[Total number of sections filled filled with parents] = Total number of sections filled x Number of fraction parents watching play
Fraction[Total number of sections filled filled with parents] = [7/2] x [3/5]
Fraction[Total number of sections filled filled with parents] = 21 / 10 sections
Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section
a box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides. let x represent the lenght pf the sides of squares removed from each corner.
What are the factors of this polynomial?
Step-by-step explanation:
Given that,
A box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides.
Let x represent the length of the sides of squares removed from each corner.
(a) The volume of a cuboid is given by :
V = lbh
Put values,
V = x(40-2x)(40-2x)
(b) (40-2x) = -2(x-20)
So,
V = x(40-2x)(40-2x)
= [tex]4x\left(x-20\right)^2[/tex]
(c) [tex]4x\left(x-20\right)^2=4x^3-160x^2+1600x[/tex]
It is a cubic polynomial. Its degree is 3.
Find the area of this isosceles trapezoid. A) 85.5 units2 B) 171 units2 C) 342 units? 345 units?
9514 1404 393
Answer:
B) 171 units^2
Step-by-step explanation:
The area is given by the formula ...
A = 1/2(b1 +b2)h
Filling in the given base and height values, we find the area to be ...
A = 1/2(23 +15)(9) = (19)(9) = 171 . . . square units
_____
Additional comment
You can select the correct answer choice simply on the basis of "reasonableness." If this were a 9×15 rectangle, its area would be 9×15 = 135 square units, more than 85.5. You know its area is less than a 9×23 rectangle, so is less than 9×23 = 207 square units. Only one answer choice is a value between 135 and 207.
__
Multiplication by 9 is not so hard. It is multiplication by 10-1:
15×9 = 15×(10 -1) = 150 -15 = 135
Plz help me well mark brainliest if correct.....????????
Answer:
Step-by-step explanation:
31 , b/c it's the most common
c 32
Step-by-step explanation:
plz follow me wenelyn andoyo duay sana makatulong ako