Answer:
A) The algebraic expression
= 12x + 7 = 91
B) He drives 7 miles per day
Step-by-step explanation:
For 11 days straight, Mike drove the same distance every day going to and coming from work.
Step 1
We are told : Mike drives 91 miles in total in those 12 days,
On the 12th day, he drove an extra 7 miles.
Hence:
91 miles - 7 extra miles
= 84 miles
Step 2
The number of miles he drives per day:
84 miles/12
= 7 miles per day
Step 3
The expression we can use to find the distance he travels each day going to and from work is written as:
Let the number of miles he travels be day = x
12x + 7 = 91 miles
12x + 7 = 91
12x = 91 - 7
12x = 84
x = 84/12
x = 7 miles per day
Perform the indicated operation.
g(t) =t+2, f (t) = −3t^3– 1
Find: (g o f)(-4)
Hi there!
[tex]\large\boxed{g(f(t))(-4) = 193}[/tex]
Find g(f(t))(-4) by substituting in f(t) for t into g(t):
g(f(t))(t) = (-3t³ - 1) + 2
Simplify:
g(f(t))(t) = -3t³ + 1
Substitute in -4 for t:
g(f(t))(-4) = -3(-4)³ + 1 = 193
Hikers set up camp at 5,200 feet on
Guadalupe Peak. They plan to reach
the summit at 8,750 feet by hiking
equal distances cach day for the
next 5 days. Which number line
represents the distance, in feet, they
must hike each day to reach the
summit?
Answer:
710 ft
Step-by-step explanation:
8750 - 5200 = 3550
3550 / 5 = 710
x^2+3x−10=0 (solve for x)
Answer:
x1=2 x2=-5
Step-by-step explanation:
help me please (3) 20 points
Answer:
Step-by-step explanation:
surface are of cuboid=2(lb+bh+hl)
=2(14*12+12*6+6*14)
=2(168+72+84)
=2*324
=648 in.^2
Answer:
648 inches
Step-by-step explanation:
First, you do 14 times 12 times 2 and get 336.
Next, you do 14 times 6 times 2 and get 168.
Then you do 6 times 12 times 2 and get 144.
Now add 336, 168, and 144 together to get 648.
Factor 48q + 6 :Example of form: Factor 15a + 10 Answer. 5(3a + 2)
Answer:
=6 times 8q+6
=6(8q+1)
Step-by-step explanation:
express Rs 1.50 as a percentage of 200 cents
1 $ = 100 cents
1.5 $ = 150 cents
1.50 $ a percentage of 200 cents = (150/200)100= 75%
Which expressions are equivalent to -3. + 6y + 70 - 14?
Select all correct answers
A-10.x - 14
B. 2(2x + 3y - 7)
C. 4. - 6y + 14
D. 4. + 6y - 14
E 10x + 6y - 14
Answer:
I am guessing C
Step-by-step explanation:
Write the equation of the line that is parallel to y =- 2x + 5 and goes through the point (2, -3)
Answer:
y = -2x + 1
Step-by-step explanation:
Parallel lines are two lines that have the same plane and slope but never intersect.
One day, the hours without daylight in a particular city was 17 3/4 hours. What was the number of hours of daylight? PLS help me ASAP!
Answer:
6 ¼ hours of Daylight
Step-by-step explanation:
a day = 24 hoursyou know that there was 17 ¾ hours of no day light 17 ¾ = 17.7524 - 17.75 = Daylight hoursdaylight hours = 6.25what is the answer of this question
Answer:
[tex]\frac{7^2 * 7^{3} * z^5}{z^3 * 10}\\\\= \frac{7^5 * z^2}{10}\\\\= \frac{16805z^2}{10}[/tex]
I'm not sure if it's correct
Evaluate (2.4 x 10^4) (4.5 x 10^3)
Plss help!
Answer:
Step-by-step explanation:
2.4*10^4*10^3*4.5
=10.8*10^4+3
=10.8*10^8
=10.8*100000000
=1080000000
Si a los lados de un cuadrado se le aumenta en 3 y 5 m respectivamente la superficie del nuevo rectangulo es 440m .Encontrar el lado del cuadrado inicial
Answer:
El lado del cuadrado inicial es 17 m.
Step-by-step explanation:
El área de un rectángulo se calcula a partir de los dos lados diferentes. Siendo a y b el valor de ambos lados, el área de la figura es el producto de los dos lados contiguos del rectángulo.
A los lados de un cuadrado se le aumenta en 3 y 5 m respectivamente la superficie del nuevo rectángulo es 440 m². Siendo x el lado del cuadrado inicial, entonces el área del rectángulo se puede expresar como:
(x+3)*(x+5)= 440 m²
Resolviendo:
x*x + 5*x + 3*X + 3*5= 440
x² + 8*x + 15=440
x² + 8*x + 15 -440= 0
x² + 8*x -425= 0
Una función cuadrática de la forma a*x² + b*x + c= 0 se puede resolver mediante la expresión:
[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]
En este caso, a=1, b=8 y c=425. Reemplazando:
[tex]\frac{-8+-\sqrt{8^{2}-4*1*(-425) } }{2*1}[/tex]
Resolviendo:
[tex]\frac{-8+\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8+\sqrt{64+1700} }{2*1}= \frac{-8+\sqrt{1764 } }{2}= \frac{-8+42 }{2}= \frac{34}{2} = 17[/tex]
y
[tex]\frac{-8-\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8-\sqrt{64+1700} }{2*1}= \frac{-8-\sqrt{1764 } }{2}= \frac{-8-42 }{2}= \frac{-50}{2} = -25[/tex]
Como las longitudes no pueden ser negativas, el lado del cuadrado inicial es 17 m.
Math question pre algebra
Answer:
Option B
Step-by-step explanation:
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
By substituting the values in the given expression,
7² = x² + 2²
49 = x² + 4
x² = 49 - 4
x² = 45
x = √45
x = 3√5
x = 6.7 ft
Option B will be the correct option.
Turn this percent into a decimal: 0.04%
Answer:
0.04
Step-by-step explanation:
No links!!!
Will give brainliest and please don’t guess
Answer:
You were so worried about somebody guessing
you forgot to ask a question!
Step-by-step explanation:
I’ll mark as brainliest.
Answer:
7 + 7 = 14(given lengths)
34(total length) - 14(given length) = 20
20 divided by 2(2 missing slots) = 10
Answer:
10 in
Step-by-step explanation:
formula for perimeter:2 (l + b)
perimeter=34 in
2 ( l + 7 ) = 34
2l + 14 = 34
2l = 34 - 14
l = 20 ÷ 2
l = 10 in
What is the length of this rectangle?
Answer and Step-by-step explanation:
The answer is:
[tex]x^3 - 3[/tex]
When we multiply this length by the height ([tex]8x^{2}[/tex]), we get the area.
When a power/exponent (attached to a base/number) is having its' base being multiplied to another base with an exponent (and the bases are the same), the exponents will add together.
#teamtrees #PAW (Plant And Water)
What type of slope does the line y = -3 have?
negative
zero
undefined
positive
Answer:
zero
Step-by-step explanation:
y = - 3 is a horizontal line parallel to the x- axis.
Since it is parallel to the x- axis it has a slope of zero
Answer:
zero
Step-by-step explanation:
4. At what temperature will the average speed of oxygen molecule be sufficient so as to escape from the earth? [escape velocity from the earth is 11.2km/s and mass of one oxygen molecules is 5.34×10-26 gm/molecule and Kg = 1.38 x 10-23J/K]
If 4 + x = −3 + 2x, then 9x =_____?
Answer:
4+x=-3+2x
4+3=2x-x
7=x
9x=9*7
=63
Step-by-step explanation:
Answer:
[tex]4 + x = - 3 + 2x \\ x - 2x = - 3 - 4 \\ - x = - 7 \\ x = 7 \\ therefore = \\ 9x = 9 \times 7 \\ 9x = 63 \\ i \: hope \: this \: was \: helpful [/tex]
Jasmine bought a new IPhone for $1000. The value of the phone depreciates 10% each year. What will the phone be worth after 4 years?
Answer:
$ 656.1
Step-by-step explanation:
a = 1000(1 - .1)^4
a = 1000(.9)^4
a = 656.1
Sharon started driving on the highway in the morning. The equation m=60h represents the number of miles, m, that Sharon has driven on the highway in h hours. Four other cars are on the same highway. click on all the graphs that represent cars moving faster than Sharon's car.
Answer: car 1, and car 4
Step-by-step explanation: if you look at the graphs you would have to look at where 1 hour would hit 60. If it’s past 60, the car is moving faster than sharon. Hope this helps!
54,372,000,000,000 in scientific notation
Answer:
5.4372 x 10 to the 5th power
Step-by-step explanation:
Answer:
[tex]5.4372*10^{13}[/tex]
Step-by-step explanation:
1) A searchlight is mounted on the front of a search and rescue helicopter. The pilot is
flying the helicopter 150 m above the ground and the centre of the searchlight is angled
down at an angle of 70 degrees from the horizontal. The beam spreads out by 2.5
degrees to either side of the centre of the beam. How wide an area does the beam
illuminate on the ground?
I
I need it today please
find the zeros of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
[tex]4x ^{2} + 8x[/tex]
Answer:
Zeros would be x= 0, -2
Step-by-step explanation:
hope this helps :)
Pls do it for me thank you so much
Answer:
(a) Attached to this response.
(b)
(i) 0 cups = 0.275
(ii) 4 cups = 0.125
(iii) 8 cups = 0.025
Step-by-step explanation:
(a) The frequency and relative frequency table has been attached to this response.
i. The first column, labelled x, is the number of cups of coffee consumed per day.
ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.
For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.
iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).
For example, the relative frequency of 2 cups of coffee is given by:
r = 7 ÷ 40 = 0.175
Also, the relative frequency of 4 cups of coffee is given by;
r = 5 ÷ 40 = 0.125
(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;
Pₓ = frequency of x ÷ total frequency
This is also the relative frequency of x
Therefore,
(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;
the relative frequency of 0 = 0.275
(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;
the relative frequency of 4 = 0.125
(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;
the relative frequency of 8 = 0.025
From the top of a cliff 8 metres high,two boats are seen in a direction due West. Find the distance between the boats if their angles of depression from the top of a cliff are 45 degrees and 30 degrees. Find also the actual distance the further boat from the top of the cliff.
Answer:
Distance of first boat = 8 meter
Distance of second boat = 13.87 meter (Approx.)
Step-by-step explanation:
Given:
Height of cliff = 8 meter
Angle of depression respectively = 45° and 30°
Find:
Distance of boats
Computation:
Tanθ = Perpendicular / Base
Tan45 = 8 / Distance of first boat
1 = 8 / Distance of first boat
Distance of first boat = 8 meter
Tan30 = 8 / Distance of second boat
0.577 = 8 / Distance of second boat
Distance of second boat = 8 / 0.577
Distance of second boat = 13.8648
Distance of second boat = 13.87 meter (Approx.)
Between 06 00 and 10 00,the same day, the volume of water in a reservoir decreased from 24 000 L to 18 000 L. What was the average rate of decrease in volume of water, giving your answer in L/h ?
Answer:
Step-by-step explanation:
Given,
Time taken (t) = 10 - 6 = 4hrs
Water decreased (V) = 24000l - 18000l = 6000l
Now,
average rate of decrase (Avg) = V/t = 6000l/4 =1500 L/h
1.) A butterfly can fly 82 feet in four seconds and a dragonfly can fly 50 feet in two seconds. Which can fly faster and by how much? *
1 point
The dragonfly is 4.5 feet per second faster.
The butterfly is 4.5 feet per second faster.
The dragonfly is 20.5 feet per second faster.
The butterfly is 32 feet per second faster.
Answer:
The dragonfly is 20.5 feet per second faster
Step-by-step explanation:
Answer:
A. The dragonfly is 4.5 feet per second faster.Step-by-step explanation:
Speed of butterfly:
82/4 = 20.5 ft/secSpeed of dragonfly:
50/2 = 25 ft/secThe difference:
25 - 20.5 = 4.5 ft/secCorrect choice is A
One pot has a water height of 8cm. Calculate the water pressure at the bottom of the pot. They give g = 10N / kg p = 1000kg / m3
We are given:
Depth of water column = 8 cm
g = 10 N/kg and ρ (density) = 1000 kg / m³
Finding the pressure at the bottom:
We know that the formula for pressure at the bottom of a fluid is:
P = P₀ + hρg [where P₀ is the atmospheric pressure]
P = P₀ + (0.08 m) (1000 kg / m³) (10 m / s²)
P = P₀ + 800 N/m²
we know that the atmospheric pressure, in N/m² is approximately 10⁵
P = (10⁵ + 800) N/m² [N/m² is also commonly called 'Pascals']
which means that at the bottom of the water column, the pressure is 800 Pascals more than what it normally is