Answer:
the answer is 93
Step-by-step explanation:
mean of x,y,z
x+y+z
3 terms
(x+y+z)/3=mean
so
represent next test score as x
89+94+82+84+98+x
count how many terms ther are (6 terms)
mean is 90
(89+94+82+84+98+x)/6=90
add the like terms
(447+x)/6=90
multiply both sides by 6 to clear fraction
447+x=540
subtract 447 from both sides
x=93
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
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
0.09+
100
27
=
100
+
100
27
Answer:
x = 9#
Step-by-step explanation:
need help with answer just ask me i got yall
The girls bought 20 blue hair bows, lost 4 bows, and gave 3 away. What percent of the bows do the girls still have?
Answer:
65%
Step-by-step explanation:
4 + 3 = 7
7/20 = 35/100
100 - 35 = 65
I may be wrong but yknow
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:
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Answer:
7.3593 and -3
Step-by-step explanation:
Got it right on the assignment.
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
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:
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Which expression is equivalent to 113−−−√5?
Answer:
_
113 -✓5
Step-by-step explanation:
_
113-(-(-✓5))
_
=113-✓5 (decimal:110.763932)
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]
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
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
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
310, 304, 298, ...
Find the 47th term.
Answer:
The answer is 34
Step-by-step explanation:
Given;a₁ = 310a₂ = 304a₃ = 298n = 47To Find;a₄₇ = ?Formula;aₙ = a + (n – 1) × dNow,
Common Difference (d)
d = a₂ – a₁ = 304 – 310 = -6
d = a₃ – a₂ = 298 – 304 = -6
Here, common difference is same everywhere
So,
aₙ = a + (n – 1) × d
a₄₇ = 310 + (47 – 1) × (-6)
a₄₇ = 310 + 46 × (-6)
a₄₇ = 310 – 276
a₄₇ = 34
Thus, The 47th term of this sequence is 34.
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.
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#SPJ4
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
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
A sweater that originally cost $40 is on sale for 10 percent off. What is the amount of the discount?
$2
$4
$30
$36
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]
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]
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.
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.
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:
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]
4. A line on a graph is represented with the equation y = = -3x-9.
What is the equation for the image of this line after a reflection over the mirror line y = x?
Oy=3x– 9
O y=-1/3x-3
Oy=-1/3x+3
O y= 3x+9
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
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
Buddy ran the same distance each day for 5 days.
Write an expression to model this situation. If
you use a variable, explain what it represents.
b. Evaluate your expression if Buddy ran 10 miles
each day.
Answer:
A.
One expression you can do is the total amount of distance Buddy runs in a 5 day period, as a function of the amount of miles he runs in a day.
d(x) = y = 5x
d(x) being total amount of miles buddy runs in 5 days. x being the amount of miles he runs in a day.
B.
Now if he ran 10 miles a day, just substitute 10 for x.
d(10) = y = 5(10) = 50