which inequality represents all values of x for which the quotient below is defined? √15(x-1) ÷ √2^2
Answers
Answer:
Option D: x ≥ 1.
Step-by-step explanation:
Here we have the quotient:
[tex]\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }[/tex]
Here we have two restrictions for the domain.
first, the denominator can never be zero, so x must be different than zero.
Second, the arguments of the square roots can not be negative.
The one in the denominator is always positive because we have the square of x.
So let's look at the values of x, such that:
15*(x - 1) ≥ 0
(x - 1) ≥ 0
x ≥ 1
Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:
x ≥ 1.
The correct option is D
Related Questions
the base of a right prism is an equilateral triangle each of whose sides measures 4cm.the altitude of the prism measures 5cm.Find the volume of the prism
Answers
Answer:
[tex]V=34.64\ cm^3[/tex]
Step-by-step explanation:
Given that,
The side of an equilateral prism = 4 cm
The altitude of the prism = 5 cm
We need to find the volume of the prism. The formula for the volume of a prism is as follows :
[tex]V=A\times h[/tex]
Where
A is the area of equilateral triangle, [tex]A=\dfrac{\sqrt3}{4}a^2[/tex]
So,
[tex]V=\dfrac{\sqrt3}{4}a^2\times h\\\\V=\dfrac{\sqrt3}{4}\times 4^2\times 5\\\\V=34.64\ cm^3[/tex]
So, the volume of the prism is equal to [tex]34.64\ cm^3[/tex].
Circle the equation of a straight line that does not intersect the curve y = x2
(1 m
y = 5
X=-3
y = 2x - 5
y= -3x + 1
Answers
Answer:
[tex] \boxed{y = 2x\: – \: 5} [/tex]
A and B are two similar 2D shapes
A 12cm
B 15cm
The area of the shape A is 200cm^2.
Calculate the area of shape B
Answers
Answer: [tex]312.5\ cm^2[/tex]
Step-by-step explanation:
Given
A and B are two similar shape with lengths of 12 cm and 15 cm
A has an area of [tex]200\ cm^2[/tex]
For similar figures, ratio of the square of corresponding length is equal to the ratio of the area
[tex]\Rightarrow \dfrac{200}{A_b}=\dfrac{12^2}{15^2}\\\\\Rightarrow A_b=\dfrac{15^2}{12^2}\times 200\\\\\Rightarrow A_b=312.5\ cm^2[/tex]
# If two vectors whose direction ratios are 1,2,3 and -k,2,1 are perpendicular to each other then, a) k=7 b) k=4 c) k=3 O d) k=6 me especially since we had be 1 poir 82) I don't know why he turned friends for so long.
Answers
Answer:
(a)k=7
Step-by-step explanation:
We are given that
Two vectors whose direction ratios are 1,2,3 and -k,2,1.
Let
[tex]a_1=1,b_1=2,c_1=3[/tex]
[tex]a_2=-k,b_2=2,c_2=1[/tex]
We have to find the value of k.
We are given that two vectors are perpendicular to each other.
We know that two vectors are perpendicular to each other then
[tex]a_1a_2+b_1b_2+c_1c_2=0[/tex]
Substitute the values
[tex]1(-k)+2(2)+3(1)=0[/tex]
[tex]-k+4+3=0[/tex]
[tex]-k+7=0[/tex]
[tex]\implies k=7[/tex]
Hence, option a is correct.
A. -1/4 + 2/3=
B. 1/2-3/5-1/2=
C. 3/4 of 2/9=
D. 2/5 of 7/12=
please help me
with explanation as well
Answers
Answer:
[tex]A) - \frac{1}{4} + \frac{2}{3} \\ \frac{ - 3 + 8}{12} \\ = \frac{5}{12} [/tex]
[tex]B) \frac{1}{2} - \frac{3}{5} - \frac{1}{2} \\ \frac{5 - 6 - 5}{10} \\ = \frac{ - 6}{10} [/tex]
[tex]C) \frac{3}{4} of \frac{2}{9} \\ \frac{3}{4} \times \frac{2}{9} \\ \frac{6}{36} = \frac{1}{6} [/tex]
[tex]D) \frac{2}{5} \times \frac{7}{12} \\ = \frac{14}{60} = \frac{7}{30} [/tex]
Which of these numbers had exactly tow factors?
Select your answer. 7 8 9 10
A B C D
Answers
Answer:
prime numbers only have two factors...
7 is the only prime in the list
Step-by-step explanation:
the diagram shows a square with perimeter 20cm
work out the percentage of the area shaded inside the square that is shaded
Answers
Answer:
70%
Step-by-step explanation:
Finding each side :-
4a = 20ma = 5 mFinding area of unshaded region :-
A = 1/2 * b * h A = 1/2 * 1.5 * 5 cm² A = 2.5 * 1.5 cm²A = 3.75 cm² Total unshaded region = 2*3.75 = 7.5 cm²Overall area :-
A = a²A = (5cm)²A = 25m²Finding percentage :-
% = 25 - 7.5 / 25 * 100 % = 17.5 * 4 % = 70Answer:70%
Step-by-step explanation:
help or i will fail my acellus
Answers
Answer:
I think it's 155 cm
Step-by-step explanation:
=(5×5×3)+(5×2×4)
= 75+40
= 155 cm2
what is the measure of angle D?
Answers
Answer:
57
Step-by-step explanation:
The Fun Committee is hosting the Annual City Festival. Jennifer is in charge of the committee and is planning a race to raise money for the Festival. The runners will earn money from donors for the number of miles they run. If the runners start at the park, run to City hall, and then run back to the park, how many total miles will each runner run? Show your work and leave your answer in simplest radical form if necessary.
Answers
Answer: [tex]6\sqrt{5}[/tex] miles
This is the same as writing 6*sqrt(5) miles
==========================================================
Work Shown:
P = park
C = city hall
Point P is at the location (10,11)
Point C is at the location (7,5)
Apply the distance formula to find the length of segment PC
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(10-7)^2 + (11-5)^2}\\\\d = \sqrt{(3)^2 + (6)^2}\\\\d = \sqrt{9 + 36}\\\\d = \sqrt{45}\\\\d = \sqrt{9*5}\\\\d = \sqrt{9}*\sqrt{5}\\\\d = 3\sqrt{5}\\\\d \approx 6.7082039\\\\[/tex]
The exact distance between the park (P) and city hall (C) is [tex]3\sqrt{5}[/tex] miles.
This doubles to [tex]2*3\sqrt{5} = 6\sqrt{5}[/tex] miles because the runners go from P to C, then back to P again. In other words, they run along segment PC twice. This is assuming there is a straight line road connecting the two locations.
Extra info:
[tex]6\sqrt{5} \approx 13.41641[/tex] so the runner travels a total distance of roughly 13.4 miles.
أريد أن أجد طريقة لإيجاد ارتفاع المخروط عن طريق معرفة قطره ومساحته . بليز أرجو الرد .
Answers
Answer:
سأعطي فقط مثالاً مقدمًا أدناه آمل أن يساعد
Step-by-step explanation:
الارتفاع = 24 سم
نصف القطر = 14 ÷ 2 = 7 سم
ارتفاع مائل = L =؟
L2 = R2 + H2
م 2 = 72 +242
م 2 = 49 + 576
م 2 = 625
L = 25
الحجم = 1 ÷ 3 × 22 ÷ 7 × 7 × 24
الحجم = 1232 سم
مساحة السطح المنحني = 22 × 7 × 7 × 25
مساحة السطح المنحني = 550
إجمالي مساحة السطح = 22 × 7 × 7 × 25 + 7
مساحة السطح الكلية = 704 سم
يرجى وضع علامة لي على أنه أذكى
f(x)=2^x by a factor of five
Answers
I want to know the Answers
Answers
Step-by-step explanation:
this is the correct answer you wanted to know
please mark brainliest
For a project in his Geometry class, Tyler uses a mirror on the ground to measure the height of his school building. He walks a distance of 14.65 meters from his school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 0.8 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.15 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.
Answers
Answer:
The height of the school building is approximately 21.06 meters
Step-by-step explanation:
The method of Geometry Tyler is using to determine the height of his school building is through the property that similar triangles have a common ratio of corresponding their sides
The given parameters for the triangle formed by Tyler and the mirror are;
The distance from Tyler's eyes to the ground = 1.15 meters
The horizontal distance between Tyler and the mirror at X = 0.8 m
The parameters of the triangle formed by the height, h, of the school building and the mirror at X are;
The horizontal distance between the school building and the mirror = 14.65 m
The height of the school building = h
Therefore, we have;
[tex]\dfrac{The \ distance \ from \ Tyler's \ eyes \ to \ the \ ground}{The \ height \ of the \ school \ building} =\dfrac{Tyler's \ horizontal \ distance \ from \ mirror }{The \ building \ to \ mirror \ horizontal \ distance }[/tex]Therefore;
[tex]\dfrac{1.15 \, m}{h} = \dfrac{0.8 \ m}{14.65 \ m}[/tex]
[tex]h = \dfrac{1.15 \, m \times 14.65 \, m }{0.8 \, m} = 21.059375 \ m[/tex]
The height of the school building h to the nearest hundredth meter ≈ 21.06 m.
[tex]solve : - \\ \\ ( \sqrt{100 - 64)} [/tex]
Answers
Answer:
[tex] \sqrt{100 - 64} \\ = 36 \\ = {6}^{2} [/tex]
Solve the inequality
x^2+7x+10< 0
Answers
Answer: -5 < x < -2 or (-5, -2)
Step-by-step explanation:
Graph- (-5, -2)
Inequality- -5 < x < -2
The given equation has been solved in the table. Step Statement 1 1 –7n + 11 = -10 2. -7n + 11 – 11 = -10 – 11 3 -7n = -21 4 = = =21 .In -7 -21 __7 5 n = 3 Use the table to complete each statement. In step 2, the In step 4, the property of equality was applied. property of equality was applied.
Answers
Answer:
In step 2, the subtraction property of equality was applied
In step 4, the division property of equality was applied
Step-by-step explanation:
Determine the area of the triangle.
223.6 square units
248.7 square units
447.1 square units
458.4 square units
Answers
Answer:
223.6 square units. or 223.569 square units
Answer:A
Step-by-step explanation:I took the test
Four friends all give each other presents
The total costs of presents is £80.52
Work out the mean cost of presents in pounds
Answers
Plz help. How to convert this standard notation to scientific notation 549,755,813,888.
Answers
Answer:
To change a number from scientific notation to standard form, move the decimal point to the left (if the exponent of ten is a negative number), or to the right (if the exponent is positive). You should move the point as many times as the exponent indicates. Do not write the power of ten anymore
Find the value of x. PLEASE HELP ASAPPPPPP
Answers
Answer:
5
Step-by-step explanation:
(38 + 6x - 6) ÷ 2 = 7x -4
multiply both sides by 2
(38 + 6x - 6 = 2( 7x - 4)
38 + 6x - 6 = 14x - 8
32 + 6x = 14x - 8
40 = 8x
x = 5
Midsegments are the average of both bases.
What is the equation of the line that has a slope of 3 and passes through the point (1, -2)
Answers
Answer:
y= 3x -5
Step-by-step explanation:
The equation of a line can be written in the slope- intercept form, y= mx +c (where m is the slope and c is the y- intercept).
Given that the slope is 3, m= 3. Substitute m= 3 into the equation.
y= 3x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= 1, y= -2,
-2= 3(1) +c
-2= 3 +c
c= -2 -3
c= -5
Thus the equation if the line is y= 3x -5.
Carla packed this box with one centimeter cubes what is the volume of the box plus is it cubic centimeters or just centimeters or is it square centimeters pls help you'll get brainlist
Answers
Cubic centimetres since they are cubes. Did you add any picture of the question? There seems to be none.
Daisy is trying to find the equation
of a linear function. Based on the
graph, she can tell the line goes
through (2, 20) and (3, 28). What is
the y-intercept?
Answers
Answer:
Your answer is (0,4)
Step-by-step explanation:
Can someone help me with this math homework please!
Answers
Answer:
2nd option
{(-8, -2), (-4, 1), (0, -2), (2, 3), (4, -4)}
Step-by-step explanation:
For a function to exist, every value of input must have exactly one value of output.
The rest of the relations(1, 3, and 4) have 2 outputs for 1 input so they dont make a function.
Answer:
(B)
Step-by-step explanation:
If you noticed, all the other input values have one input value that has two output values. This doesn't represent a function. Only (B) has one output for each input.
Hope that helps (●'◡'●)
Solve the equation and enter the value of x below. 3(x+11) + 5= 68
Answers
[tex]\boxed{ \sf{Answer}} [/tex]
[tex]3(x + 11) + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 38 = 68 \\ 3x = 68 - 38 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]3(x + 11) + 5 = 68 \\ 3 \times x + 3 \times 11 + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 33= 68 - 5 \\ 3x + 33= 63 \\ 3x = 63 - 33 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]
Which property does each equation demonstrate?
x2 + 2x = 2x + x2
Answers
What is the slope of y = - x + 7
Answers
[tex] \green{\huge{\red{\boxed{\green{\mathfrak{QUESTION}}}}}} [/tex]
What is the slope of y = - x + 7
[tex] \red{ \bold{ \textit{STANDARD \: EQUATION}}}[/tex]
[tex]y = mx + c[/tex]
[tex]WHERE \\ m = SLOPE \\ c = Y - INTERCEPT[/tex]
[tex] \huge\green{\boxed{\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}}}[/tex]
[tex] \blue{A.T.Q}[/tex]
[tex]y = mx + c \sim y = ( - 1)x + 7[/tex]
[tex] \orange{SO}[/tex]
m= (-1)
which is equal to the slope of the equation .
[tex] \red \star{Thanks \: And \: Brainlist} \blue\star \\ \green\star If \: U \: Liked \: My \: Answer \purple \star[/tex]
Add (1.3t3 + 0.4t2 – 24t) + (8 – 18t + 0.6t2) For each term in the second polynomial, enter the letter showing where that term should be placed to add the polynomials vertically.
Answers
Answer:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]
Step-by-step explanation:
Given
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]
Required
Solve
We have:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]
Collect like terms
[tex]1.3t^3 + 0.6t^2 + 0.4t^2 - 24t- 18t + 8[/tex]
[tex]1.3t^3 + t^2 -42t + 8[/tex]
So:
[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]
Answer:
look at pic
Step-by-step explanation:
Write the following expression in exponential form:
16x16x16x1.6
0416
0164
16x4
O 16+ 4
Answers
Answer:
16x16x16x1.6
Step-by-step explanation:
here's your answer hope it helps you
