Answer:
w(x)=2.3x+31
Step-by-step explanation:
From the information given, the function would indicate that the weight of the dolphin after x days would be equal to the 31 pounds the baby weighed when it was born plus 2.3 lbs that is the average rate it is growing for the number of days:
w(x)= 2.3x+31, where:
w(x)= weight of the dolphin
x=number of days
In a triangle, the measure of the middle angle
is triple the measure of the smallest angle, and
the measure of the largest angle is 55° greater
than the measure of the smallest angle. Find
the measures of the
angles.
Let the smallest angle in a triangle be = x
Largest angle in a triangle = 55 + x
The middle angle in a triangle = 3x ( triple the measure of the smallest angle )
Their sum = 180° ( according to the angle sum property all the angles of a triangle sum up to 180° )
This can be written as :
= x + 55 + × + 3x = 180
Let us find each angle by solving the equation .
= x + 55 + x + 3x = 180°
= x + x + 3x + 55 = 180°
= 5x + 55 = 180°
= 5x = 180 - 55 ( transposing +55 from LHS to RHS changes +55 to -55 )
= 5x = 125
= x = 125 ÷ 5 (transposing ×5 from LHS to RHS changes ×5 to ÷5 )
= x = 25
Using this let us find the measure of each angle .
Smallest angle = x = 25
Smallest angle = 25°
Middle angle = 3x = 3 × 25 = 75
Middle angle = 75°
The largest angle = x + 55 = 25 + 55 = 80
Largest angle = 80°
Therefore , the measure of the smallest angle = 25° , the measure of the middle angle = 75° and the measure of the largest angle = 80° .
We have that the measures of the angles are as follows
[tex]\theta_1=80 \textdegree[/tex]
[tex]\theta_2=75 \textdegree[/tex]
[tex]\theta_3=25 \textdegree[/tex]
From the question we are told that:
The measure of the middle angle is triple the measure of the smallest angle
The measure of the largest angle is 55° greater than the measure of the smallest angle
Let
[tex]\theta_1=Largest\ angle[/tex]
[tex]\theta_2=Middle\ angle[/tex]
[tex]\theta_3=Smallest\ angle[/tex]
Therefore
[tex]\theta_1=55 \textdegree+\theta_3\\\\\theta_2=3*\theta_3[/tex]
Generally, the equation for the angle of a triangle is mathematically given by
[tex]\theta_1+\theta_2+\theta_3=180[/tex]
Therefore
[tex]55 \textdegree+\theta_3+3*\theta_3+\theta_3=180[/tex]
[tex]\theta_3=25 \textdegree[/tex]
Therefore
Substitute [tex]\theta_3[/tex] into equations of [tex]\theta_1[/tex] and [tex]\theta_2[/tex]
For [tex]\theta_1[/tex]
[tex]\theta_1=55 \textdegree+25 \textdegree\\\\\theta_1=80 \textdegree[/tex]
For [tex]\theta_2[/tex]
[tex]\theta_2=3*\theta_3[/tex]
[tex]\theta_2=3*25 \textdegree[/tex]
[tex]\theta_2=75 \textdegree[/tex]
in conclusion
The measures of the angles are as follows
[tex]\theta_1=80 \textdegree[/tex]
[tex]\theta_2=75 \textdegree[/tex]
[tex]\theta_3=25 \textdegree[/tex]
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“six more than three times x is less than 12
Answer:
6+3x<12
do u need x or just this
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
The volume, V, of a certain gas varies inversely with the amount of pressure, P. placed on it. The volume of this gas is 175
cm' when 3.2 kg/cm² of pressure is placed on it. What amount of pressure must be placed on 400 cm' of this gas?
2.86 kg/cm2
1.31 kg/cm?
7.31 kg/cm2
1.40 kg/cm2
Answer:
1.3 kg/cm
Step-by-step explanation:
What are the y vale’s of the equation y = -3x + 4 at x values -1, 0, 1, 2?
Answer:
(-1, 7)
(0, 4)
(1, 1)
(2, -2)
Step-by-step explanation:
y = -3x + 4
y = -3(-1) + 4 = 3 + 4 = 7
y = -3(0) + 4 = 4
y = -3(1) + 4 = 1
y = -3(2) + 4 = -6 + 4 = -2
There are approximately 1.2 × 10 8 households in the U.S. If the average household uses 400 gallons of water each day, what is the total number of gallons of water used by households in the U.S. each day?
Answer:
Que
Step-by-step explanation:
Solving each proportions 10/8=n/10
Answer:
n=12.5
Step-by-step explanation:
10/8=n/10
multiply the denominator and numerators 10 ad 10=100 divide by 8=12.5
Someone helppppppppppppp
Answer:
10 and 11
Step-by-step explanation:
10 and 11.
These are the closest whole numbers, because the square root of 100 is 10, and the square root of 121 is 11.
If this helped, please rate and give THANKS!
Tell me a cool, fun fact, best fact gets. Brainliest
Answer:
The moon has moonquakes.
Step-by-step explanation:
The heads on Easter Island have bodies.
Given that 1 pound equals 16 ounces, how many pounds are in 116 ounce -) A) 6.75 pounds B) 7.25 pounds 7.5 pounds D) 7.75 pounds
Answer:
B)7.25
Step-by-step explanation:
16x7.25=116
Please help asap!! I'll give you brainliest!!
What is the slope of the function, represented by the table of values below?
Answer:
-4
Step-by-step explanation:
To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.
Write the product as a power.
5 X 5 X 5 X 5 =
Answer:
4 that is the answer...........
5
2 5. 8 11 X 2 -4 8 у 14 What is the equation of the given table?
Answer:
8-6+-2
Step-by-step explanation:
Franco begins to save for a new Lego set that costs $65. His parents gave him $35 towards the cost and he plans to save $5 per week.
Write an equation modeling the total amount he has saved
Answer:
T = 35 + 5s
Step-by-step explanation:
Here, we want to write an equation for the the total amount that has been saved.
Let the number of weeks he has saved for be s
Then his total savings will be 5 * s = 5s
Now let’s add the $35 from his parents
This will give 35 + 5s
let T be the total
amount that hass beeem saved
So;
T = 35 + 5s
where a represents the number of weeks for which he has saved and T represent the total money that has been saved
0.000 000 000 000 000 000 000 000 001 672 622 kg.
The mass of a proton is
In scientific notation it is
Answer:
1.672 x 10 27
Step-by-step explanation:
0.39/0.75 as a decimal
Answer:
0.52
Step-by-step explanation:
Divide.
Answer:
0.3333333333333333333333 it non terminating
Find the value of each variable.
Janice determined there were 10 possible outcomes when tossing two coins and spinning a spinner numbered 1 through 6. What is the correct number? What might have been Janice's error? 3; There are only 3 events. 6; There is only 1 possible outcome for the coins. 24; She added the number of possibilities instead of multiplying. 36; The spinner was spun twice.
Answer:
c: 24
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
PLEASE HELP ME! I am not sure how to answer this question.
Answer:
yes
Step-by-step explanation:
the diagnols are congruent meaning that the diagnol lines in the middle are the same length. So theoretically the left and right lengths are the same, and the top and bottom lengths are the same. The triagles named both have the same base and they're hieght is sbviouysly the same so they would be SSS each of the sides on one triangle coresspondes to the other.
-4x+3=-2 y=x-1 solve for x and y
Answer:
x=1 1/4 (1.25), y=1/4
Step-by-step explanation:
Since the equation "y=x-1" seems simple enough, we're going to plug that in for our other equation, "-4x+3=-2".
1. Rearrange y=x-1 to fit our other equation, -4x+3=-2.
y=x-1 (add 1 to both sides)
y+1=x x=y+1
2. Plug our newly rearranged equation into -4x+3=-2.
-4(y+1)+3=-2
-4y-4+3=-2 (distributive property)
3. Add/subtract like terms.
-4y-1=-2
4. Get y to be by itself.
-4y=-1 (add 1 to both sides)
y=1/4
1. Now for y=x-1. Plug 1/4 into y.
1/4=x-1
1 1/4=x
Barry and Michael lifted and moved a television that weighed 45 pounds. About how much did the television weigh in kilograms? (1 pound ≈ 0.454 kilograms)
Answer:
I NEED HELP WITH THIS TWO
Step-by-step explanation:
? i need help two
Suppose there is a 1.2 farenhight drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 45.8 farenhight , what will be the temperature when the plane reaches an altitude of 6,000 ft ?
Answer:
38.6Fahrenheit
Step-by-step explanation:
Given that the plane reaches 6,000 ft
And for every 1000 ft there is a drop of 1.2 Fahrenheit
Therefore there is a total drop of (6*1.2)
Note There are six one thousand in six thousand
6*1.2=7.2Fahrenheit
Also the temperature on the ground is
45.8 Fahrenheit
The temperature when the plane reaches 6,000 ft will be
45.8-7.2=38.6Fahrenheit
Solve for f 7a - 3d + 6f = 5
Answer:
f = 5/6 - 7a/6 + d/2
Step-by-step explanation:
Is it 1 2 3 or 4? I need to know
Answer:
I think it is 1
I'm almost positive
Anoushka needs to stain the circular wooden deck in the backyard. The deck has a diameter of 30 feet. A gallon of stain covers approximately 250 square feet. Each gallon is $33.99. How much will Anoushka spend in order to stain the deck? Use 3.14 to approximate .
Answer:
$101.97
Step-by-step explanation:
Diameter of circular wooden deck = 30 ft
Radius of the deck = ½ of diameter = ½*30 = 15 ft
Area of deck = πr² = 3.14*15² = 706.5 ft²
1 gallon covers 250 ft² (1 gallon = 250 ft²)
Let x be the number of gallons that will cover 706.5 ft² of the deck
Thus:
1 gallon = 250 ft²
x = 706.5 ft²
Cross multiply
1*706.5 = 250*x
706.5/250 = x
2.826 = x
Number of gallons to cover the deck is approximately 3 gallons (approximated to nearest whole number). Since the we can't buy a gallon that is not full, we approximate to give us 3 gallons.
1 gallon cost $33.99 (1 gallon = $33.99)
3 gallons cost: 3*33.99 = $101.97
1572 divide 0.3 you must show all workings
Answer:
5240
Step-by-step explanation:
Express as a trinomial.
(x−5)(x−2)
Answer:
x^2 - 7 x + 10
Step-by-step explanation:
use the foil method to multiply the terms.
Also - you can just plug these types of equations into WolframAlpha...
in this case you are looking for "expanded form"
7. Given (3, 5) and (-2, 1), find the slope of the line passing through these two points.
Answer:
4/5
Step-by-step explanation:
y2-y1/x2-x1 so....... 5-1/3-(-2)
You plug it into the equation for calculating slope:
(Y₂ - Y₁) ÷ (X₂ - X₁)
Let X₂ be 3 and Y₂ be 5.
X₁ = -2 and Y₁ = 1.
(5 - 1) ÷ (3 - (-2))
4 ÷ 5
4/5
The slope is 4/5.
Hope this helps
a fair coin is tossed 14 times, what is the probability of exactly 6 heads
Answer:
42.85% or 6/14
Step-by-step explanation:
6 / 14 = 0.428571428571
0.428571428571 * 100 ~ 42.85%
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What are the y-intercepts to graph the equation -4x – 3y = 36?
4x-3y =36
Move the constant to the left by adding its opposite to both sides
4x-3y-36=36-36
The sum of two opposites equals 0
Answer: 4x-3y-36=0
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name the sets of numbers to which 7/9 belongs
Answer:
OK.
the sets are
natural numbers (or counting numbers), this is like 1,2,3,4,5 etc
whole numbers, this is including 0, so 0,1,2,3,4,5,6 etc
integers, this includes the previoius set and negatives, so -3,-2,-1,0,1,2,3,4,5 etc
rational numbers, this is the set of numbers that can be written in form a/b where b≠0, so all integers can be written like this, like example -3=-3/1, so -7/9 belongs here
-7/9 goes in the rational set