Answer:
16.7
Step-by-step explanation:
speed is constant at 17 mph
Distance covered after one hour = 17 miles
Distance between port and San Francisco = 3 miles
Speed at which distance changes 1 hour after leaving port :
r² = 17² - 3²
r² = 289 - 9
r = √280
r = 16.733
= 16.7 (nearest tenth )
Quesuon 10 of 10
Use the table to identify the values of pand q that should be used to factor x2
+ 3x - 10 as (x + p)(x + 9).
р
1
-1
2
-2
q
-10
10
5
5
p+q
9
9
-3
3
A. -2 and 5
B. -1 and 10
C. 1 and -10
D. 2 and -5
.
Answer:
(p, q) is (2, 5)
Step-by-step explanation:
Given the expression
x^2 + 3x - 10
Factorize;
x^2 + 5x - 2x - 10
x(x+5) - 2(x+5)
(x-2)(x+5)
Comparing with (x + p)(x + 9).
x+2 = x+ p
x-x+2 = p
2 = p
p = 2
Similarly;
x+5 = x+q
x-x+5 = q
5 = q
q= 5
Hence (p, q) is (2, 5)
anyone help please!
Which expression is equivalent to 4sqrt x10?
Need answers ASAP!!
Answer:
The answer is x^2( [tex]\sqrt[4]{x^2}[/tex] ).
Step-by-step explanation:
To find an expression equivalent to 4 sqrt x^10, start by simplifying 4 sqrt x^10. To simplify the original equation, rewrite [tex]x^{10}[/tex] as ([tex]x^{2}[/tex])^4 [tex]x^{2}[/tex]. Then, pull terms out from under the radical, which will look like [tex]x^{2}[/tex][tex]\sqrt[4]{x^2}[/tex]. Next, rewrite [tex]\sqrt[4]{x^2}[/tex] as [tex]x^{2}[/tex][tex]\sqrt{} \sqrt{x}^2[/tex]. Finally, pull terms out from under the radical, assuming positive real numbers, which look like [tex]\sqrt[x^2]{x}[/tex], and this will simplify 4 sqrt x^10.
Now, simplify [tex]x^{2}[/tex]([tex]\sqrt[4]{x^2}[/tex] ). To simplify, rewrite [tex]\sqrt[4]{x^2}[/tex] as [tex]\sqrt{} \sqrt{x^2}[/tex]. Then, pull terms out from under the radical, assuming positive real numbers, and the final answer is [tex]\sqrt[x^2]{x}[/tex].
Finally, 4 sqrt x^10 is equivalent to [tex]x^{2}[/tex]([tex]\sqrt[4]{x^2}[/tex] ).
Can someone please help me it’s 50 questions in one hour
Answer:
B: VY = YB = YJ
Step-by-step explanation:
Looking at the options;
A) ∠VYB is not equal to ∠SJY because SJY is a straight line while ∠VYB is an angle.
B) VY = YB = YJ. This is true because they all start from Y which is the centre of the circle and they all terminate at the perimeter of the circle.
Thus,they are all equal to the radius and thus statement is true.
C) ∠SYV ≠ ∠SYB because there is no proof given that the angle of tilt is the same.
D) TX = MP = YJ is not true because TX and MP are chords which by inspection don't seem equal and neither the radius YJ appears to be equal to them.
E) ∠MJY ≠ ∠XSY because they have nothing in common in terms of angle.
$5000 grew to $9000 at the compound interest of 12% per annum what was the years taken for the investment
Answer:
1year?hehehehehehehehehe
in △RST, ∠R is a right angle and m∠S=43∘. In △FGH, ∠F is a right angle, and m∠H=47∘ Determine whether △RST∼△FGH.
△RST∼△FGH by the AA Similarity Theorem.
△RST∼△FGH by the SAS Similarity Theorem.
△RST∼△FGH by the SSS Similarity Theorem.
The triangles are not similar.
Answer:
△RST∼△FGH by the AA Similarity Theorem.
Math homework please help
Please can somebody help me
Answer:
Rectangle: bh or l · w
Circle: pi(r)²
R 408 344 525.2 What i want to know this money is a millions or thousand?
Answer:
million
Step-by-step explanation:
HELP ME WITH THIS PLS! MATH :)
Answer:
(-7,5)
Step-by-step explanation:
the question was cut off, but I'm assuming that you want to find the location of Denver. Looking at the coordinate plane, Denver, would sit at (-7,5) as you find what x and y values they meet up at. Hopefully this answers your question
If we are looking for the location of Dallas (that is all I see), the coordinates would be as follows.
(2,-4)
Hope this helps.
For the concentric circles shown, the radius of the inner circle is 3 centimeters and the distance from the
cdge of the inner circle to the edge of the outer circle is 7 centimeters. What is the exact arca, in squarc
centimeters, of the shaded outer region?
Answer:
d
Step-by-step explanation:
Area of the inner circle = 3^2 π = 9 π
total area = 10^2 π = 100π
area of the shaded region
100π - 9 π = 91 π
The area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have:
The radius of the inner circle r = 3cm
The distance from the edge of the inner circle to the edge of the outer circle = 7 cm
So the radius of the outer circle = 7+3 = 10 cm
Area of the inner circle = π(3)² = 9π square cm
Area of the outer circle = π(10)² = 100π square cm
Area of the shaded region = 100π -9π = 91π square cm
Thus, the area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
Picture Below
(i have to make this 20 characters so I'm doing this now)
Answer:
H.
Step-by-step explanation:
16x^2 is the big square area and the -10x comes from subtracting the smaller area from the big one
Answer:
H. is the answer
hope this helps
have a good day :)
Step-by-step explanation:
Researchers surveyed 250 college students at one time. They were asked if they were taking any engineering classes and whether or not they felt depressed. If 75 students reported taking at least one engineering class and 15 of those students said they were depressed, what is the incidence of depression in this group
Answer:
the incidence of the depression is 1 ÷ 5
Step-by-step explanation:
Given that
There is 250 college students that are surveyed
In the case when 75 students reported for minimum ne engineering class
And, out of this 15 students would be depressed
We need to find out the incidence of the depression
So
= 15 ÷ 75
= 1 ÷ 5
Hence, the incidence of the depression is 1 ÷ 5
The Wall Street Journal reported that Walmart Stores Inc. is planning to lay off employees at its Sam's Club warehouse unit. Approximately half of the layoffs will be hourly employees (The Wall Street Journal, January 25-26, 2014). Suppose the following data represent the percentage of hourly employees laid off for Sam's Club stores. 55 56 44 43 44 56 60 62 57 45 36 38 50 69 65 a. Compute the mean and median percentage of hourly employees being laid off at these stores.
Answer:
The mean percentage of hourly employees being laid off at these stores is 52.
The median percentage of hourly employees being laid off at these stores is 55.
Step-by-step explanation:
Mean:
Sum of all values divided by the number of values.
So
[tex]M = \frac{55+56+44+43+44+56+60+62+57+45+36+38+50+69+65}{15} = 52[/tex]
The mean percentage of hourly employees being laid off at these stores is 52.
Median:
Value that separate the lower 50% from the upper 50% in the sorted set.
The sorted set is
36 38 43 44 44 45 50 55
The set has cardinality 15, which is an odd number, so the median is the element at the position (15+1)/2 = 8 of the sorted set, which is 55.
The median percentage of hourly employees being laid off at these stores is 55.
According to a recent survey, 73% of all customers will return to the same grocery store. Suppose 14 customers are selected at random, what is the probability that: (Round probabilities to 4 decimal places and the expected customers to 2 decimal places)
This question is incomplete, the complete question is;
According to a recent survey, 73% of all customers will return to the same grocery store. Suppose 14 customers are selected at random, what is the probability that: (Round probabilities to 4 decimal places and the expected customers to 2 decimal places)
a) All 14 will return?
b) How many customers would be expected to return to the store ?
Answer:
a) the probability that All 14 will return is 0.0122
b) The number of customers that would be expected to return to the store is 13.27
Step-by-step explanation:
Given the data in the question;
p = 73% = 0.73
sample size n = 14
a) the probability that All 14 will return;
P( x = 14 ) = ⁿCₓ × Pˣ × [tex]( 1 - P)^{n-x[/tex]
we substitute
P( x = 14 ) = ¹⁴C₁₄ × (0.73)¹⁴ × [tex]( 1 - 0.73)^{(14-14)[/tex]
P( x = 14 ) = [ 14! / ( 14! × ( 14 - 14)!) ] × (0.73)¹⁴ × [tex]( 0.27)^{0[/tex]
P( x = 14 ) = 1 × 0.0122045 × [tex]( 0.27)^{0[/tex]
P( x = 14 ) = 1 × 0.0122045 × 1
P( x = 14 ) = 0.0122045 ≈ 0.0122 { 4 decimal place }
Therefore, the probability that All 14 will return is 0.0122
b) Expected Customers;
E(x) = n × p
we substitute
E(x) = 14 × 0.73
E(x) = 13.27 { 2 decimal place }
Therefore, The number of customers that would be expected to return to the store is 13.27
Find the product of (√2 + √5) (√7 - √5)
PLs help( a guy answered to this image (linked below) said I have to find that to find the answer) pls solve for me! THx :))))
Answer:
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]
Step-by-step explanation:
Given
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]
Required
Solve
We have:
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]
Open bracket
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{2*7} - \sqrt{2*5} +\sqrt{5*7} - \sqrt{5* 5}[/tex]
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]
(06.03 MC)How is the expression (5 + y) ⋅8 described by its factors and terms?
A.) It has two factors and the factor (5 + y) has one term.
B.) It has three factors and the factor (5 + y) has one term.
C.) It has three factors and the factor (5 + y) has two terms.
D.) It has two factors and the factor (5 + y) has two terms.
The true statement about the expression (5 + y) * 8 is (d) It has two factors and the factor (5 + y) has two terms.
How to describe the expression?The expression is given as:
(5 + y) * 8
An expression represented as:
a * b
Has two factors, and the factors are a and b
This means that the expression (5 + y) * 8 has two factors
An expression represented as:
a + b
Has two terms, and the terms are a + b
This means that the expression 5 + y has two factors
Hence, the true statement about the expression (5 + y) * 8 is (d) It has two factors and the factor (5 + y) has two terms.
Read more about expressions at:
https://brainly.com/question/723406
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Is the function shown in the graph one-to-one?
Yes, there exists one input for every output.
No, there exists more than one input for at least one output.
Yes, there exists one output for every input.
No, there exists more than one output for at least one input.
please help will give brainliest
Answer:
4
Step-by-step explanation:
The number of kids who like vanilla is 13 the number of kids who like strawberry is 9
13-9=4
hope this helps!!
5th grade math. correct answer will be marked brainliest
Answer:
C
Step-by-step explanation:
A circle has radius 6 cm. Suppose an arc on the circle has length 31 cm. Answer the
following:
a. The fraction of the whole circle represented by this arc is
b. The measure of the central angle defined by the arc is
degrees.
C. The area of the sector defined by the arc is
cm2. (Express answer
in terms of r or pi).
Answer:
[tex]Fraction = \frac{31}{38}[/tex]
[tex]\theta = 296.18^\circ[/tex]
[tex]Area = 29.62 \pi[/tex]
Step-by-step explanation:
Given
[tex]r = 6[/tex]--- radius
[tex]L = 31[/tex] --- arc length
Solving (a): Fraction represented by the arc
First, calculate the circumference (C)
[tex]C = 2\pi r[/tex]
So, we have:
[tex]C = 2 * 3.14 * 6[/tex]
[tex]C = 38[/tex] --- approximated
So, the fraction represented by the arc is:
[tex]Fraction = \frac{L}{C}[/tex]
[tex]Fraction = \frac{31}{38}[/tex]
Solving (b): Measure of the center angle
Using arc length formula, we have:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
This gives
[tex]31 = \frac{\theta}{360} * 2 * 3.14 * 6[/tex]
[tex]31 = \frac{\theta}{360} * 37.68[/tex]
Make [tex]\theta[/tex] the subject
[tex]\theta = \frac{360 * 31}{37.68}[/tex]
[tex]\theta = 296.18^\circ[/tex]
Solving (c): The area of the sector
This is calculated as:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{296.18}{360} * \pi * 6^2[/tex]
[tex]Area = \frac{296.18}{360} * \pi * 36[/tex]
Divide 360 and 36
[tex]Area = \frac{296.18}{10} * \pi[/tex]
[tex]Area = 29.618 * \pi\\[/tex]
[tex]Area = 29.62 \pi[/tex] --- approximated
Which two of these squares have the same amount shaded? A P and Q B P and S C Q and R D R and SPRQSRELEASE
Answer:
There is no picture but I think b
Step-by-step explanation:
Solve for x.
x + 1 3 4 = 2 7 8
Yeah, Kinda tired to answer this so If someone could help me out :)
Answer:
134+144
Step-by-step explanation:
just take the answer (278)- the number they give you
278-
134
144
Answer:
Solution given:
x+134=278
subtracting 134 each term
x+134-134=278-134
x=144
8n^2+4n-16=-n^2 Show your work so I can get an answer
Solve the equation for
n
by finding
a
,
b
, and
c
of the quadratic then applying the quadratic formula.
Exact Form:
n
=
−
2
±
2
√
37
9
Decimal Form:
n
=
1.12950278
…
,
−
1.57394722
…
If a quadrilateral is a rhombus, the diagonals bisect each other.
True
False
Answer: I think it is false...
What is a,b,c and d please help me
Step-by-step explanation:
Edit:
a is 18
b is 36
c is 18
d is 18 times sqr root of 3
Answers:
a = 18b = 36c = 18d = 18*sqrt(3)sqrt is shorthand for "square root"
=====================================================
Explanation:
The smaller triangle on the left is a 45-45-90 triangle (aka isosceles right triangle). One special property of such triangles is that the legs are the same length, meaning a = c. Another special feature is that the hypotenuse is exactly sqrt(2) times that of the leg.
In other words, if x is the leg length, then x*sqrt(2) is the length of the hypotenuse. That means mean a = 18 in order for the hypotenuse to be 18*sqrt(2). This then leads to c = 18 as well.
--------------
The smaller triangle on the right side has a = 18 as the shorter leg, opposite the smallest angle (30 degrees). The hypotenuse b is twice that of the short leg, and this works because we're dealing with a 30-60-90 triangle. Therefore b = 2a = 2*18 = 36.
The longer leg d is equal to sqrt(3) times the short leg, ie,
d = a*sqrt(3)
d = 18*sqrt(3)
You could use the pythagorean theorem to solve for d like so:
a^2 + d^2 = b^2
18^2 + d^2 = 36^2
d^2 = 972
d = sqrt(972)
d = 18*sqrt(3)
I skipped a bunch of steps, but you get the idea.
The focus of a parabola is (2, 5) and the directrix is y = 1. What is the equation of the parabola?
Answer:
y = 0.125x² - 0.5x + 3.5
Hope that this helps!
Answer:
y = 0.125x² - 0.5x + 3.5
Step-by-step explanation:
I dont know if its correct hope it helped
Find the common difference of the arithmetic sequence –2, 1, 4, ...
Answer:
d = 3
Step-by-step explanation:
The common difference d is the difference between consecutive terms, that is
d = 1 - (- 2) = 4 - 1 = 3
Which of the q-values satisfy the following inequality? :)
Answer:a
Step-by-step explanation:
Answer:
b a
Step-by-step explanation:
Write the standard equation for the circle whose center is at (6,2) and whose radius is 2.
Answer:
[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].
Step-by-step explanation:
In general, let [tex](a,\, b)[/tex] denote the center of a given circle. Let [tex]r[/tex] denote the radius of that circle. The standard equation for that circle would be:
[tex](x - a)^2 + (y - b)^2 = r^2[/tex].
The circle in this question is centered at [tex](6,\, 2)[/tex].
[tex]6[/tex] is the [tex]x[/tex]-coordinate of the center of this circle. [tex]a = 6[/tex].[tex]2[/tex] is the [tex]y[/tex]-coordinate of the center of this circle. [tex]b = 2[/tex].The radius of this circle is [tex]2[/tex]. Therefore, [tex]r = 2[/tex].
Hence, the standard equation for this circle would be:
[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].