Answer:
X< 7/8
Step-by-step explanation:
X< 2/7×4
X< 2×4/7
X< 7/8
Answer:
[tex]\boxed{\sf{x < -\dfrac{20}{7} }}[/tex]
Step-by-step explanation:
To solve this problem, all you have to do is isolate it on one side of the equation.
x/4+<2/7
First, multiply by 4 from both sides.
x/4*4+4<2/7*4
Solve.
2*4=8
Rewrite the problem down.
x+4<8/7
Then, you subtract by 4 from both sides.
x+4-4<8/7-4
Solve.
x<-20/7
Therefore, the correct answer is x<-20/7.
I hope this helps you! Let me know if my answer is wrong or not.
Pls help
20 brainly points
a radio mast is supported by 4 cables, each of which is attached to the top of the mast. The depression from the top of the mast to the base of one of the supporting cables is 55 degrees. the height of the mass is 213 metres. work out the length of the cable
The cable and the mass forms a right triangle
The length of the cable is 260 meters
How to determine the length of the cables?The given parametes are:
Angle = 55 degrees
Height of the mass (h) = 213 meters
The length of the cable (l) is calculated using the following cosine ratio
cos(90 - θ) = h/l
Substitute known values
cos(90 - 55) = 213/l
cos(35) = 213/l
Make l the subject
l = 213/cos(35)
Evaluate the quotient
l = 260.024987406
Approximate
l = 260
Hence, the length of the cable is 260 meters
Read more about right triangles at:
https://brainly.com/question/2437195
Use the calculator to find the product. (1. 466 × 10–8)(5. 02 × 105) What is the coefficient of the product? What is the exponent of the power in the product?.
The product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].
The given expression is:
[tex](1.466*10^{-8} )(5.02*10^5)[/tex]
We can rewrite the given expression as
[tex](1.466*5.02)(10^{-8} *10^5)[/tex]
What is the exponent addition rule?If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.
[tex]a^m*a^n = a^{m+n}[/tex]
[tex]1.466*5.02=7.35932[/tex]
[tex]10^{-8} *10^5 = 10^{-3}[/tex]....from exponent addition rule
So, [tex](1.466*10^{-8} )(5.02*10^5)=7.35932 *10^{-3}[/tex]
Therefore, the product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].
To get more about exponents visit:
https://brainly.com/question/819893
Answer:
7.3593 and -3
Step-by-step explanation:
Got it right on the assignment.
3(1.07)^18 can you please help??
the answer should be 10.13979682
What is the area of the following circle?
Answer:
49pi
Step-by-step explanation:
Area of a circle is diameter * 1/2 squared times pi. Then, ((14 * 1/2)^2)pi equals 49pi.
P.S: don't cheat in khan my man, that's dishonored
Solve the given system of differential equations by systematic elimination. Dx dt = 2x − y dy dt = x
The solution to the given system of differential equations is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.
1. dx/dt = 2x - y
2. dy/dt = x
Substituting y = -dx/dt into the second equation,
dy/dt = x - t
-d²x/dt² = x - t
Now, assume a particular solution of the form x = At + B,
where A and B are constants.
Substituting this into the differential equation,
-A = At + B - t.
Equating the coefficients of t on both sides,
A = -1 and B = 0.
Thus, the particular solution is x = -t.
Now, integrating dx/dt = -yt,
x = -yt + C₁
Finally, substituting x into the particular solution x = -t,
-t = -yt + C₁.
Solving for y, obtain y = t²/2 + C₁t + C₂.
Therefore, the solution is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.
Learn more about systematic elimination here:
brainly.com/question/29847467
#SPJ4
Which expression is equivalent to 113−−−√5?
Answer:
_
113 -✓5
Step-by-step explanation:
_
113-(-(-✓5))
_
=113-✓5 (decimal:110.763932)
Can you help me with this
Answer:
Step-by-step explanation:
For the zeros, c is shows the correct number of zeros -- 7.
But you should note that the answer ought to contain the correct number of sig digs. There are 3. 692 The 2 cannot be dropped. Still your answer is correct.
The Hire Purchase priceola microwave
a deposit of $600 and equal monthly
installmentsof$4s. Howmany installmen,
Answer:
150
Step-by-step explanation:
$600/$4 =150
=150 installments
676 x 122 - 45 + 69
Brainliest to whoever answers first
Answer:
82.358
Step-by-step explanation:
You have to use PEMDAS to solve this question. Since M is the first one we have to multiply since M stands for multiplication.
676 • 122 - 45 + 69
82,472 - 45 + 69
Then you add because A is next.
82,472 - 114
Then finish it
82,358
Your answer would be = 82,358
I hope it helps! Have a great day!
Muffin ^^
Factor completely 3x – 15.
-
03(x - 5)
03(x + 5)
3x(-15)
Prime
400/3*6 I don't know I don't have a calculator
Answer:
22 [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
400/3*6
400/18 = 22 [tex]\frac{2}{9\\}[/tex]
or 22.222 to the nearest thousandths.
4,3,9/4,27/16
what is the 10th term of the sequence
Answer:
This is a sequence, so we have to move forward step by step
Step-by-step explanation:
4,3,9/4,27/16
Because this sequence has no exponential arithmetic or geometry, we perform the sequence with the help of a matrix
[tex]y = y[/tex]
[tex]x = x[/tex]
[tex]x = 4.4.4.4.4[/tex]
[tex]x = 4[/tex]
Matrix determinants allowed us to achieve both geometric and arithmetic progression by sequence guidance
The answer is
[tex]x \times y = 144 = 614.88[/tex]
0.09+
100
27
=
100
+
100
27
Answer:
x = 9#
Step-by-step explanation:
need help with answer just ask me i got yall
Danielle invests $50 a month in an annuity that earns 4% APR and is compounded monthly. What is the future value of Danielle's account in 3
years?
A. $1909.06
B. $2082.39
C. $2153.85
D. $1843.29
The future value of Danielle's account in 3 years given the amount invested monthly and the APR is $1909.06.
What is the future value of the account?The formula that can be used to determine the future value of the annuity is: monthly deposits x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 4%/12 n = number of years = 3 x 12 = 36$50 x [(1.003333^36) - 1] / 0.003333 = $1909.06
To learn more about future value, please check: https://brainly.com/question/24108530
What is the coefficient b makes the equation true for any real number x -3 (2x-3) + 5x = bx + 9
Answer:
b = 0
Step-by-step explanation:
x -3 (2x-3) + 5x = bx + 9
x - 6x +9 + 5x = bx + 9
-9 -9
x - 6x + 5x = bx
-5x + 5x = bx
0 = bx
b/x 0/x
b = 0
help me w this question please
Answer:
2560000 or 2.56*10^6
Step-by-step explanation:
[tex]\frac{((-4)^6)^2*(-5^2)^3}{(-4)^6*(-5)^2}[/tex]
[tex]\frac{(-4)^1^2*(-5^6)}{(-4)^6*(-5)^2}[/tex]
[tex]\frac{16777216*15625}{4096*25}[/tex]
[tex]\frac{262144000000}{102400}[/tex]
[tex]2560000[/tex]
What is the correct answer?
[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \mathsf \purple{v = l \times w \times h}[/tex]
[tex] \mathsf \pink{v = 4.4 \times 2.9 \times 1}[/tex]
[tex] \mathsf \purple{v = 12.76 {yd}^{3} }[/tex]
12.76 cubic yards
BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?
Answer:
A = 253 sq ft
Step-by-step explanation:
see image. Section off the shape into rectangles. Sometimes you have to add to find the lengths of the sides. Sometimes you have to subtract. Area is length×width. see image.
Find X using the diagram.
Answer:
58°
Step-by-step explanation:
Refer to the letters in my diagram.
Angle AOB measures 64°. Angle ACB, since itis a circle angle o nthe same chord AB, measure half of it, or 32°.
Furthermore, angle ABC is a right angle since triangle ABC has side AC on a diameter and B on the circle.
Now, since the sum of all internal angles in a triangle is 180°, we have , [tex]x+32\°+90\°=180\°\rightarrow x = 58°[/tex]
39y³(50y² - 98) ÷26y²5y + 7)
Answer:
3y5 • (5y + 7)2 • (5y - 7) then solve that which is (3•2y5) • (5y + 7) • (5y - 7) and keep going { 3x−2y=5 & 2x−5y=7
SOLVE FOR X, Y
x=1
y=−1
I hope this helps a little
which of the follwing is true?
Answer:
The correct one is B)
Step-by-step explanation:
Dividing with the same base subtracts the power
a man fences a 5m by 6m rectangular plot to keep in his chickens . the fencing costs $119 per meter. how much does it cost to fence the plot
Answer: 3570$
Step-by-step explanation:
5 x 6 = 30
30 x 119 = 3570
What is the area of the shape below?
Answer:
A = 192 units²
Step-by-step explanation:
the figure is a trapezium.
the area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the height between the bases and b₁, b₂ are the bases
here h = 12 , b₁ = 12 , b₂ = 20 , then
A = [tex]\frac{1}{2}[/tex] × 12 × (12 + 20) = 6 × 32 = 192 units²
A sweater that originally cost $40 is on sale for 10 percent off. What is the amount of the discount?
$2
$4
$30
$36
A clock cog rotates 150 degrees in 20 minutes. How far will far will the same cog rotate in 70 minutes
Answer:
525 degrees
Step-by-step explanation:
Mr. Nathan ordered a total of 24 roses in three different colors. 1/3 white 1/4
yellow, and the rest red. What is the number of red roses Mr. Nathan ordered? Enter your answer in the box.
Answer:
10 red
8 white
6 yellow
Step-by-step explanation:
1/3 of 24 is 8 white
1/4 of 24 is 6 yellow
8+6 is 14
24-14 is 10
there are 10 red
HELP HELP HELP*. Hei has $1,700 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional deposits of $1,700. After 5 years, what was her account balance if she did not make any withdrawals? Round each year's interest to the nearest cent if necessary.
what was account balance after 5 years
[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}}\\ ~~~~~~~~~~~~ \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)[/tex]
[tex]\begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill &1700\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=1700\left[ \cfrac{\left( 1+\frac{0.04}{1} \right)^{1\cdot 5}-1}{\frac{0.04}{1}} \right]\left(1+\frac{0.04}{1}\right) \\\\\\ A=1700\left( \cfrac{1.04^5~~ - ~~1}{0.04} \right)(1.04)\implies A\approx 9576.06[/tex]
What is 75% of 112?
(^u^)
Answer:
84
Step-by-step explanation:
asked siri
Answer:
84
Step-by-step explanation:
take the percentage and turn it into a decimal so 75 becomes .75
multiply the decimal by the number
.75 x 112 = 84
A bedroom door in the house has the same
dimensions as the front door, but the length is
30 inches rather than 36 inches. How much greater is
the volume of the front door than the bedroom door?
The difference in the volume of bedroom door in the house taken the length and width into consideration will be 120 inches³.
How to calculate the bedroom door?It should be noted that the volume of a door is simply gotten by multiplying the length by width.
Let's assume that the width is 20 inches. Therefore, the difference will be:
= (36 × 20) - (30 × 20)
= 720 - 600
= 120 inches³
Learn more about volume on:
https://brainly.com/question/12410983
Please help me I AM BEGGING please
Answer:
218
Step-by-step explanation:
the triangle is a right angle triangle. Therefore, we can use the Pythagorean thereom.
A^2 + 16^2 = 20^2
A^2 + 256 = 400
400 - 256 = 144
Square root of 144 is 12
Unknown side is 12
Find the area of the triangle:
16 x 12 = 192
192/2 = 96
The area is 96
Now find the area of the circle:
pi x the radius^2
The diameter is 20, so the radius is 10
Pi x 10^2 = 314
314 - 96 = 218