Answer:
12 minutes
Step-by-step explanation:
Given
[tex]s_1 = 10mi/h[/tex] --- walk speed
[tex]s_2 = 20mi/h[/tex] --- jog speed
[tex]d = 2\ miles[/tex] --- distance
Required
The time to walk the given distance
Time is calculated as:
[tex]Time = \frac{distance}{speed}[/tex]
In this case, the speed is the speed at which she walks.
So, we have:
[tex]Time = \frac{d}{s_1}[/tex]
Substitute known values
[tex]Time = \frac{2mi}{10mi/h}[/tex]
[tex]Time = 0.2hr[/tex]
Convert to minutes
[tex]Time = 0.2 * 60mins[/tex]
[tex]Time =12mins[/tex]
the height of the glass is 7cm and
the radius is 3cm If the glass is
half fill with water what will be
the answer
Solve BCD. Round the answers to the nearest hundredth, if necessary.
Answer:
B
Step-by-step explanation:
here we use trigonometric ratio involving soh,cah,toa
The cross-section of a searchlight mirror is shaped like a parabola. The light bulb is located 3 centimeters from the base along the axis of symmetry. If the mirror is 20 centimeters across at the opening, find its depth in centimeters. (Round your answer to the nearest tenth if necessary.)
The depth of the mirror of the cross-section of a searchlight would be 8.33 cm if the light bub has a vertex at 3 cm and the mirror is 20 centimeters across at the origin.
A cross-section is perpendicular to the axis of the symmetry goes through the vertex of the parabola. The cross-sectional shape of the mirrored section of most searchlights or spotlights is parabolic.
It helps in maximizing the output of light in one direction.The equation of the cross-section of the parabola is - [tex]y^{2} = 4ax[/tex], where a is the focus and x is the depth of the mirror from its origin.Given:
a = 3
y = [tex]\frac{20}{2}[/tex] cm = 10 cm
Solution:
from the equation [tex]y^{2} = 4ax[/tex]
[tex]y^{2} = 4*3*x\\ y^{2} = 12x[/tex]
putting x, 10 cm in the equation
[tex]x=\frac{10^{2} }{12} \\\\x= \frac{100}{12} \\\\x= 8.33 cm[/tex]
thus, the depth of the mirror would be - 8.33 cm
Learn more about other problems of the parabola:
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anyone know collage level algebra 2? I need help
Evaluate the series: image Question 1 options: A) 392 B) 249 C) 420 D) 406
Answer:
The required sum is 392
Step-by-step explanation:
Given the sum as shown;
[tex]\sum \left \77} \atop {a=1}} \right. (3a^2-4)[/tex]
When n = 1
f(1) = 3(1)²-4
f(1) = 3 - 4
f(1) = - 1
When n = 2
f(2) = 3(2)²-4
f(2) = 12 - 4
f(2) = 8
When n = 3
f(3) = 3(3)²-4
f(3) = 27 - 4
f(3) = 23
When n = 4
f(4) = 3(4)²-4
f(4) = 48 - 4
f(4) = 44
When n = 5
f(5) = 3(5)²-4
f(5) = 75 - 4
f(5) = 71
When n = 6
f(6) = 3(6)²-4
f(6) = 108 - 4
f(6) = 104
When n = 7
f(7) = 3(7)²-4
f(7) = 147 - 4
f(7) = 143
Taking their sum
Sum = f(1)+f(2)+(3)+f(4)+f(5)+f(6)+f(7)
Sum = -1 + 8 + 23 + 44 + 71 + 104 + 143
Sum = 392
Hence the required sum is 392
Last year 160 new candidates submitted applications to work for an agency. This year, that number is on target to increase by 25%. There are 6 months left in the year. How many new applications has the agency received so far this year?
Answer:100
Step-by-step explanation:
Given
Last year 160 new candidates submitted to work for agency
It is expected to increase by 25% that is , increase in one year should be
[tex]\Rightarrow 160+160\times 25\%\\\Rightarrow 160(1+0.25)\\\Rightarrow 160\times 1.25\\\Rightarrow 200[/tex]
200 application in the upcoming year. So, in 6 months, agency must have accepted 100 applications.
Jia baked two kinds of muffins. She baked 27 blueberry muffins. The number of cranberry muffins she baked is represented by the equation shown.
27 ÷ 3 = 9
Which statement accurately compares the number of blueberry muffins and the number of cranberry muffins?
Jia baked 3 times as many blueberry muffins as cranberry muffins.
Jia baked 9 times as many blueberry muffins as cranberry muffins.
Jia baked 3 times as many cranberry muffins as blueberry muffins.
Jia baked 9 times as many cranberry muffins as blueberry muffins.
Answer:
she baked 3 times as many cranberry than blueberry muffins
Step-by-step explanation:
i think that because 9×3=27
the amount of the cranberry muffins are 9
tìm nghiệm của đa thức 2x² + 5x
Answer:
this is this because of PTI
Step-by-step explanation:
pto explain it to me on Monday and Friday Saturday morning
Answer:
[tex]2x^2+5x[/tex]
[tex]=2xx+5x[/tex]
[tex]=x\left(2x+5\right)[/tex]
Hope it helps u
The freezing point of oxygen is –218.790C and hydrogen is –252.80C. A lab is lowering the temperature inside a fridge. Which freezes first? How much colder does it have to be for both to freeze?
Answer:
Oxygen; 34.01°C
Step-by-step explanation:
The oxygen freezes first as it has a higher (warmer) freezing point. For both to freeze, the temperature must drop a further 34.01°C as:
-218.79 - (-252.8)
= 252.8 - 218.79
= 34.01
Can someone please help me
Answer:
c
Step-by-step explanation:
come on ! you can literally see that in the chart.
how many parts of the gray 3/8 are covered by the gray 1/4 ?
2 parts = 2/8 are clearly covered by 1/4.
2/8 is what part of 3/8 ?
it is the same question as "2 is what part of 3" ?
is 2 a quarter (1/4) of 3 ? no, 1/4×3 = 3/4 and not 2.
is 2 one third (1/3) of 3 ? no, 1/3 of 3 = 1/3×3 = 1 and not 2.
is 2 two thirds (2/3) of 3 ? ah, 2/3 × 3 = 2. that is correct !
is 2 three quarters (3/4) of 3 ? no, 3/4×3 = 9/4 and not 2.
once you have the same denominator, you can easily compare the numerators and ignore the denominators for such problems.
Please help explanation if possible
Answer:
160= 2W + 2L ; W = L –16
2W+2L=160 ] ÷2
W+L= 80
W=L–16
____o____o___
L-60+L= 80 —> 2L= 96
L=48
W=L–16 —> w= 48-16 =32
W=32 ; L=48
I hope I helped you^_^
10 points please help im confused
What is the volume of the prism?
103.8 cubic inches
114.9 cubic inches
140.6 cubic inches
110.5 cubic inches
Answer:
110.5 cubic inches
Step-by-step explanation:
Base is parallelogram, so area is
A = 4.7×5 = 23.5
Height(h) is 4.7, so volume is,
V = A×h
= 23.5×4.7
= 110.45 ≈ 110.5
Answered by GAUTHMATH
Which equation is equivalent to -2(2 − 2x) = 4 − 8(1 − x)?
Answer:
x = 0
Step-by-step explanation:
-2(2 − 2x) = 4 − 8(1 − x)
Apply the distributive property:
−2(2 − 2x) = 4 − 8(1 − x)
(−2)(2) + (−2)(−2x) = 4 + (−8)(1) + (−8)(−x)
−4 + 4x = 4 + (−8) + 8x
Combine like terms:
4x − 4 = (8x) + (4+−8)
4x − 4 = 8x + (−4)
4x − 4 = 8x − 4
Subtract 8x from both sides:
4x − 4 − 8x = 8x − 4 − 8x
−4x − 4 = −4
Add 4 to both sides:
−4x − 4 + 4= −4 + 4
−4x = 0
Divide both sides by -4:
-4x/-4 = 0/-4
x = 0
Answer: 0
Step-by-step explanation:
x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?
Answer:
a + b =1
Step-by-step explanation:
Write the given quadratic as x^2 – 1x – 90 = 0. This factors into
(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.
If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.
in the first quarter austin played for 4 minutes and 30 seconds. wyatt played for 310 seconds who had more playing time
Answer:
wyatt
Step-by-step explanation:
4:30 mins is 270 seconds
What's the angle sum of a polygon having 7 sides.
Answer:
900°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 7 , then
sum = 180° × 5 = 900°
The computer technician charges $20 per visit plus $35 per hour. If the computer technician works for 2 hours, what will be the cost?
$75
$90
$55
Answer:
90
Step-by-step explanation:
To solve this problem we need to set up an expression
35x+20
35 is the cost per hour, and 20 dollars is the visit fee.
x is the amount of hours the CT can work
So if we plug in the amount for the number of hours from the problem we get
35(2)+20
Which becomes 70+20 which is 90.
Hope thsi helps!
The computer technician works for 2 hours will take total charges equal to $90 .
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7
According to the question
The computer technician charges $20 per visit plus $35 per hour.
i.e
Let hours he work = x
therefore,
Total charge of computer technician in equation = 20 + 35x
Now,
As the computer technician works for 2 hours the cost will be
By using equation
Total charge of computer technician in dollars = 20 + 35x
where x = 2
so,
= 20 + 35*2
= $90
Hence, the computer technician works for 2 hours will take total charges equal to $90 .
To know more about equation here:
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i  genuinely dont know help
Answer:
-13 1/2 < -6/8
Step-by-step explanation:
*Any negative in either the numerator or denominator will make the entire fraction negative.
1/2 = .5
-13 1/2 = -13.5
-6/8 = -3/4
-3/4 = -0.75
-6/8 = -0.75
-13 1/2 = -13.5
Which means:
-13 1/2 < -6/8
Hope this helped.
Answer:
[tex] < [/tex]
Step-by-step explanation:
[tex] \frac{6}{8} [/tex]
Is close to 0 (to positive) you can use a time line to determine which is a correct answer
HELP ASAP
THANK YOU!!!
Answer:
C
Step-by-step explanation:
The function C has a range of (-infinity, a] and domain [b, infinity)
For several weeks, the function f(x) = 3(4)* represented the number of birds
infected with an illness x weeks after the first birds became sick. How did the
number of sick birds change each week?
A. The number quadrupled each week.
B. The number increased by 4 each week.
C. The number increased by a factor of 3 each week.
D. The number increased by 3 each week.
SUBMI
What percentage is 150 grams of 400 grams?
1 %
Answer:
37.5%
Step-by-step explanation:
150/450 = .375 = 37.5%
The percentage is 150 grams out of 400 grams will be 37.5%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
The percentage is given as,
Percentage (P) = [Initial value - Final value] / Initial value x 100
It is given that the difference between the initial and final value is 15 grams and the initial value is 400 grams.
Then the percentage is 150 grams out of 400 grams will be
P = (150 / 400) x 100
P = 0.375 x 100
P = 37.5%
Thus, the percentage is 150 grams out of 400 grams will be 37.5%.
More about the percentage link is given below.
https://brainly.com/question/8011401
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Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together?
5x + 13y = 232
12x + 7y = 218
The first equation can be multiplied by –13 and the second equation by 7 to eliminate y.
The first equation can be multiplied by 7 and the second equation by 13 to eliminate y.
The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.
757divide 100=to in hours and minutes
Answer:
Step-by-step explanation:
757 minutes = 12 hours 37 minutes
If you help me, you will get this cookie
Answer:
B. 7y - 15
Step-by-step explanation:
Simplifying
10y + -3(y + 5) = 0
Reorder the terms:
10y + -3(5 + y) = 0
10y + (5 * -3 + y * -3) = 0
10y + (-15 + -3y) = 0
Reorder the terms:
-15 + 10y + -3y = 0
Combine like terms: 10y + -3y = 7y
-15 + 7y = 0
Solving
-15 + 7y = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 7y = 0 + 15
Combine like terms: -15 + 15 = 0
0 + 7y = 0 + 15
7y = 0 + 15
Combine like terms: 0 + 15 = 15
7y = 15
Divide each side by '7'.
y = 2.142857143
Simplifying
y = 2.142857143
Answer:
b. 7y-15
Step-by-step explanation:
First, write out the expression
1. [tex]10y-3(y+5)[/tex]
To simplify the expression distribute the -3 to the terms within the paratheses.
2. [tex]10y-3y-15[/tex]
Then, combine like terms to simplify further. Since 10y and -3y are like terms they can be subtracted
3. [tex]7y-15[/tex]
This means that B is the correct answer.
can someone pls help me
On the last option, since you can substitute y=3x+1 into the other equations to solve for x.
Which expression is equal to "13 more than the quotient of n and 8"? *
A) 13n + 8
B) n - 8 + 13
C) n * 8 + 13
D) (n / 8) + 13
Answer:
D
Step-by-step explanation:
The quotient of n and 8 is [tex]\frac{n}{8}[/tex] and 13 more than this is
[tex]\frac{n}{8}[/tex] + 13 → D
Help pls will give brainliest
Answer:
hello,
answer C
Step-by-step explanation:
area of the rectangle=2b*b=2b²
area of the half cercle= [tex]\\\dfrac{\pi*(\frac{c}{2})^2}{2} =\dfrac{\pi*c^2}{8} \\[/tex]
Area in blue= 2b²-πc²/8
what is the commutative property for 4xy
PLEASE ANSWER QUICKLY
Answer:
[tex]we \: know \: that \: commutative \: prop \\ = x + y = y + x \\ then \\ 4xy + 0 = 0 + 4xy \\ thank \: you[/tex]
Please answer this
simplify too
Answer:
x^2-3x
pls mark me brainliest
Step-by-step explanation:
4x(x+2)-x(3x+5)
4x^2+8x-3x^2-5x
x^2-3x
Which function is increasing?
Answer:
A, it's the only one with a number greater then 1
p-83=129 ?????????????????????????
Answer:
p = 212
Step-by-step explanation:
p-83=129
Add 83 to each side
p-83+83=129+83
p =212
Answer:=212
Step-by-step explanation:
add 83 to both sides and then simplify
−83=129
p-83=129
p−83=129
−83+83=129+83
