Answer:
14
Step-by-step explanation:
28/n = n/7
cross multiply
n^2=196
n=14
What is the value of the expression (−2 4/5)÷(−1.4)
Answer:
2
Step-by-step explanation:
Evaluate each expression for the given value(s) of the variables(s).
Answer:
9. [tex] \frac{1}{10,000} = 0.0001 [/tex]
10. [tex] \frac{1}{81} [/tex]
Step-by-step explanation:
9. [tex] x^{-4} [/tex]
Evaluate when x = 10.
Substitute x = 10 into the expression
[tex] 10^{-4} [/tex]
Apply the negative exponent rule ([tex] a^{-n} = \frac{1}{a^n} [/tex])
Thus:
[tex] = \frac{1}{10^4} [/tex]
[tex] = \frac{1}{10^4} = \frac{1}{10,000} = 0.0001 [/tex]
10. [tex] 2a^{-1}b^{-3} [/tex]
Evaluate when a = 6 and b = 3
Substitute
[tex] (2*6^{-1})(3^{-3}) [/tex]
Apply the negative exponent rule
[tex] (2*\frac{1}{6})(\frac{1}{3^3}) [/tex]
[tex] (\frac{2}{6})(\frac{1}{27}) [/tex]
[tex] \frac{2*1}{6*27} [/tex]
[tex] \frac{1}{81} [/tex]
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
Question : 9plugging the value of x as 10, we get
[tex]\longrightarrow\: \: x {}^{ - 4} [/tex]
[tex]\longrightarrow\: 10 {}^{ - 4} [/tex]
[tex]\longrightarrow \dfrac{1}{10 {}^{4} } [/tex]
[tex] \longrightarrow\dfrac{1}{10000} [/tex]
[tex]\longrightarrow0.0001[/tex]
Question : 10plugging the value of
a as 6b as 3[tex]\longrightarrow2 {a}^{ - 1} b {}^{ - 3} [/tex]
[tex]\longrightarrow2 \times 6 {}^{ - 1} \times 3 {}^{ - 3} [/tex]
[tex]\longrightarrow \dfrac{2}{6 \times 27} [/tex]
[tex]\longrightarrow \dfrac{2}{162} [/tex]
[tex]\longrightarrow \dfrac{1}{81} [/tex]
_____________________________
[tex] \\ \\ \mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
ab" that goes through points (0,9)
Write an exponential function in the form y
and (5,2187)
9514 1404 393
Answer:
y = 9(3^x)
Step-by-step explanation:
We assume you want a function in the form ...
y = a(b^x)
that passes through points (0, 9) and (5, 2187).
Filling in the given point values, we have ...
9 = a(b^0) = a
2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'
Dividing the second equation by 9 and taking the 5th root, we find b.
(2187/9) = b^5
243^(1/5) = b = 3
The exponential function is ...
y = 9(3^x)
In 2002 the population of schoolchildren in a city was 90,000. The population decreases at a rate of 5% per year. What will be the population of school children in 2010?
Answer:
40,000 Not sure but i finish unit and got all a's and b's
Step-by-step explanation:
Answer:
59708Step-by-step explanation:
Initial population = 90000Decrease rate = 5% or 0.05 timesTime = 2010 - 2002 = 8 yearsPopulation of children in 2010:
P = 90000*(1 - 0.05)^8 = 59708 (rounded to the whole number)Assume we cut the last piece of the pie into two sections (1 and 2) along ray BD
such that m∠ABD = 2x+3, m∠CBD = 4x+7, and m∠ABC = 40°. Based on this information,
would you ask for section 1 or section 2 (you have to pick one) for dessert? Provide numerical
evidence to back up your choice. Explain your reasoning and your methods.
Answer:
Section 2
Step-by-step explanation:
I will pick the section with the largest angle.
Let's determine the size of the angle of each section.
Given:
m∠ABD = 2x+3,
m∠CBD = 4x+7,
m∠ABC = 40°
Thus:
m<ABD + m<CBD = m<ABC (angle addition postulate)
Substitute
2x + 3 + 4x + 7 = 40
Add like terms
6x + 10 = 40
6x + 10 - 10 = 40 - 10
6x = 30
6x/6 = 30/6
x = 5
✔️m∠ABD = 2x+3
Plug in the value of x
m<ABD = 2(5) + 3 = 13° (section 1)
✔️m∠CBD = 4x+7
m∠CBD = 4(5) + 7
m∠CBD = 27° (section 2)
✅I will pick section 2 because it is the section with the largest angle, which means it is the biggest.
A model car is 7.5 inches long made with a scale of 2 inches = 48 inches. How long is the actual car?
A. 15 ft
B. 20 ft
C. 180 ft
D.360 ft
Answer:
360
Step-by-step explanation:
Morgan bought a sofa for $216.00. The finance charge was $25 and she paid for it over 15 months.
Use the formula Approximate APR =(Finance Charge÷#Months)(12)Amount Financed
to calculate her approximate APR.
Round the answer to the nearest tenth.
9.4%
9.3%
1.2%
1.1%
Answer:
9.3%
Step-by-step explanation:
Morgan's approximate APR is approximately 1.0%.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Using the given formula:
Approximate APR = (Finance Charge ÷ Months) x 12 / Amount Financed
We know that the amount financed is the total cost of the sofa minus the finance charge, which is:
Amount Financed = $216.00 - $25.00 = $191.00
We also know that the finance charge was $25.00 and she paid for it over 15 months, so:
Finance Charge ÷ Months
= $25.00 ÷ 15
= $1.67
The approximate APR is:
Approximate APR = ($1.67 x 12) ÷ $191.00 = 0.1393
Rounding this to the nearest tenth gives us 0.1, which is equivalent to 1.0% as the nearest percentage.
Therefore,
Morgan's approximate APR is approximately 1.0%.
Learn more about expressions here:
https://brainly.com/question/3118662
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z(x) is a function as defined below:
z(x) = x + 1
If you input a 3 into z(x), what do you get for the output?
Please help me ASAP
Please help me
Answer:
The base of triangle b is 8 inches
Tina has eight packs of paper each of her packs contain 50 sheets. Caz has three packs of paper each of his packs contain 125 sheets. Juan has 350 sheets of paper which statement is true
Answer:
i think the question is incomplete but
Tina at an average contains each package of
50 sheets ÷ 8 pack
6.205 of sheet in each pack
125 sheets ÷ 3 packs
caz contain at average 41.60 sheet average
but where the juan packs of paper that's why question is incomplete
What are the center and radius of a circle whose equation is:
(x−A)2+(y−B)2=C
Question options:
a)
Center: (−A,−B), radius = C
b)
Center: (−A,−B), radius =C −−√
c)
Center: (A, B), radius = C
d)
Center: (A, B), radius =C −−√
Answer:
d)
Step-by-step explanation:
Equation of circle with center at point (h, k) and radius, r.
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
This problem:
(x − A)^2 + (y − B)^2 = C
The center is (A, B).
The radius is sqrt(C).
Answer: d)
find the value for x y and z
Answer:
All triangles add up to 180 degrees so...
180 - 43 - 59 = 78 degrees.
So x - 78 degrees.
x and y are supplementary angles so...
180 - 78 = 102.
So y = 102.
180 - 102 - 49 = 29 degrees
So z = 29 degrees
Hope this helps!
Please HELPPP!!!!
Ashly makes a model of a square pyramid. A diagram
of the model is shown. What is the volume of her model
in cubic meters?
Answer:
33 m
Step-by-step explanation:
What is the answer pls it’s for a grade
QUICK BEING TIMED
If 2 inches on a map represents 25 miles, how many inches would represent 225 miles?
Answer:18
Step-by-step explanation:
18 inches represent 225 miles.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Suppose we have two ratio p : q and r : s.
If both these ratios are proportional, then we can write it as p: q : : r : s.
This is same as p : q = r : s or p/q = r/s
Given that,
2 inches on a map represents 25 miles.
We have to calculate the value of inches that correspond to 225 miles.
Let x be the unknown value of inches that correspond to 225 miles.
Using proportional concept,
2 : 25 = x : 225
This can also be written as,
2 / 25 = x / 225
Cross multiplying,
2 × 225 = 25 x
x = (2 × 225) / 25
x = 18
Hence the value of the unknown inch is 18 inches.
To learn more about Proportions, click on the link given below :
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Tell me what is
YZ+40 =
Answer:
Let's simplify step-by-step.
yz+40
There are no like terms.
Answer: =yz+40
Hope this help :D
will give brainliest <3! please help! no fake answers please
Answer:
input 1 output 1 ×7 =7
input 2 output 2 ×7 =14
input 3 output 3 ×7=21
input 4 output 4×7=28
Answers are 7, 14, 21 and 28
help me plissssss. “
Answer:
letter A because it's representing 100% plus some so it is increasing.
What is the volume and cubic feet of a rectangular prism with a base of 24 square feet and a height of 16 feet
Answer:
126
Step-by-step explanation:
Which number rounds to 700 when rounded to the nearest hundred?
Answer:
C.
Step-by-step explanation:
Hope this helps! have a great day!
A yogurt costs 35p.
How many yogurts can be bought for three pounds?
Answer:
8 yogurts or it will be 1 yogurt
Step-by-step explanation:
Since practically you cannot purchase "0.57" parts of one yogurt 3 pounds (300 p) would allow you to purchase only 8 yogurts...
Pls help ASAP I’ll pay u 30$ cash. App
Answer:
how about no
Step-by-step explanation:
An automobile manufacturer has developed a new compact automobile. A random sample of 64 of the new automobiles showed that the automobiles had a sample mean mileage of 28.75 miles per gallon and a sample standard deviation of 3.4 miles per gallon. a) Find the 95% confidence interval for the population mean mileage, and state your conclusion. b) Find the 98% confidence interval for the population mean mileage, and state your conclusion.
Answer:
The 95% confidence interval for the population mean mileage is
(27.917, 29.593)
The 98% confidence interval for the population mean mileage
(27.737, 29.762)
Step-by-step explanation:
Step(i):-
Given that the random sample size 'n' = 64
Given that the mean of sample x⁻ = 28.75miles
Given that the standard deviation of the sample (S) = 3.4 miles
Degrees of freedom = n-1 = 64-1 =63
t₀.₀₅ = 1.9983
Step(ii):-
95% confidence interval for the population mean mileage is determined by
[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} })[/tex]
[tex](28.75-1.99\frac{3.4}{\sqrt{64} },28.75 + 1.99 \frac{3.4}{\sqrt{64} } )[/tex]
(28.75 - 0.845 , 28.75 + 0.845)
(27.917 , 29.593)
Step(iii):-
98% confidence interval for the population mean mileage is determined by
[tex](x^{-} - t_{0.02} \frac{S}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S}{\sqrt{n} })[/tex]
[tex](28.75-2.3824\frac{3.4}{\sqrt{64} },28.75 + 2.3824 \frac{3.4}{\sqrt{64} } )[/tex]
(28.75 - 1.01252 , 28.75 + 1.01252)
(27.737 , 29.762)
Final answer:-
98% confidence interval for the population mean mileage is
(27.737 , 29.762)
Hello, can someone help me with this question?
Answer:
area = 77 m²
Step-by-step explanation:
area = (14 x 3) +(5 x 5) + (5 x 2) = 42 + 25 + 10 = 77 m²
Find the sum of -52 and -26.
Step-by-step explanation:
-52 + -26 = -78
hope this helps
Can some one please help me find the solution of the question
Answer:
x=16°
Step-by-step explanation:
tanθ=opposite/adjacent
tan(<CAB)=BC/AB
<CAB=tan⁻¹(21/29)=35.9097308°
tanθ=opposite/adjacent
tan(<DAB)=BD/AB
<DAB=tan⁻¹((21/2)/29)=19.90374954°
<CAB=<DAB+x
x=<CAB-<DAB
=35.9097308-19.90374954
x=16.00598126°
I NEED HELP PLS I need the base and volume of this pic should be above pls help
Answer:
Area of the base=16m squared
Volume of the figure =21m cubed
A bag contains 2 red marbles and 3 black marbles. If Abby picks a marble without looking, returns it to the bag, and
a then draws a second marble, what is the probability that both marbles are red? Give the answer as a fraction in
simplest form.
Answer: I think it would be 1/2, 2/2 or 2/5. If i'm wrong then i'm sorry.
Is the equation linear?
(a) y = -x^2 +7
(b) y=4x^3
(C) y=3^x
(d) y = 2x-6
Answer:
a. ya
b. ya
c. ya
d. ya
Step-by-step explanation:
if you put them you never cross the line
You draw two marbles without replacement from a bag containing four red marbles, two yellow marbles, and five blue marbles
Step-by-step explanation:
your bigest chance is that youll draw a red and blue